I would really appreciate it if someone helped answer these 4 questions. I will rate 5 stars. Thank you (:

I Would Really Appreciate It If Someone Helped Answer These 4 Questions. I Will Rate 5 Stars. Thank You

Answers

Answer 1

Answer:

7. 13.6

8. 19.5

9. 6.5

10. 12.6

Step-by-step explanation:

Recall the three main trig functions

Sine = opposite / hypotenuse

Cosine = adjacent / hypotenuse

Tangent = opposite / adjacent

( remember hypotenuse = longest side length , opposite = side length opposite of angle , and adjacent = side length thats not the opposite or hypotenuse )

We will use these to solve each problem

7.

We are given :

An angle with a measure of 39 degreesThe angles opposite side length The adjacent side as the unknown

When dealing with opposite and adjacent we use tangent

We have tan = opp / adj

==> plug in opp = 11 and adj = x as well as given angle 39

tan(39) = 11/x

==> multiply both sides by x

xtan(39) = 11

divide both sides by tan(39)

x = 11/tan(39)

plugging this into a calculator , we get x = 13.6 ( rounded )

8.

We are given :

an angle with a measure of 46 degreesthe hypotenuse which has a length of 28and the adjacent as the unknown

When dealing with adjacent and hypotenuse we use cos

We have cos = adj / hyp

==> plug in given angle 46 , adj = x and hyp = 28

cos(46) = x/28

==> multiply both sides by 28

x = 28cos(46)

plugging this into a calculator we get  x = 19.5 ( rounded )

9.

We are given :

an angle with a measure of 51 degreesits opposite side length with a length of 8 the adjacent side length as the unknown

When dealing with the opposite and adjacent we use tangent

We have tan = opp / adj

==> plug in 51 degrees for angle , opp = 8 and adj = x

tan(51) = 8/x

==> multiply both sides by x

xtan(51) = 8

==> divide both sides by tan(51)

x=8/tan51

plugging this into a calculator we get that x = 6.5 ( rounded )

10.

We are given:

an angle with a measure of 24 degreesthe hypotenuse which has a length of 31the side length opposite of given angle as the unknown

When dealing with the opposite and hypotenuse we use sine

We have sin = opp / hyp

==> plug in angle as 24 , opp = x and hyp = 31

sin(24) = x / 31

==> multiply both sides by 31

31sin(24) = x

plugging this into a calculator we get that x = 12.6 ( rounded )

And we are done!

Let me know if you have any doubts in the comments ! : )


Related Questions

Evaluate the expression 2(8-4)2-10/2

Answers

Step-by-step explanation:

here is your answer

hope it help u

Answer:

16

Step-by-step explanation:

2(8 - 4) 2

first, you'll subtract 4 from 8 to get 4.

Next 2 X 4 X 2

Multiply 2 and 4 by doing that you'll get 8

lastly 8 X 2

Multiply 8 and 2 to get your answer 16.

Pls mark brainiest pls

Which term describes the set of all possible output values for a function

Answers

Answer:

range

Step-by-step explanation:

,domain describes the input values and range describes the output

Complete the steps to identify all potential rational roots of f(x) = 3x2 – x – 4.

Answers

De vergelijking moet je gelijk zetten aan 0. Vervolgens bereken je discriminant.

Beide x zijn de snijpunten met de x-as.

-4 is de snijpunt met de y-as

Iam sorry for this language.

its dutch, you can translate it to english

Kevin evaluated the expression below.
75 - 6 (8 - 6) + 3
Step 1: 75 - 6 x 2 + 3
Step 2: 75 - 6 x 5
Step 3: 75 - 30
Step 4: 45
Kevin made an error in solving the expression. What error did Kevin make?
Which step contains the error?
What error did Kevin make?
Explain how you would correct Kevin's error.
Be sure to include the correct answer in your explanation.

Answers

From the solution, Kevin made an error in step 3 by adding 2 and 3 instead of multiplying 6 and 2. The correct solution is 66

Expressions. and  functions

Given the expression solves by Kevin below;

75 - 6 (8 - 6) + 3

Step 2: Simplify the expression in parenthesis

75 - 6(2) + 3

Step 3: Solve the product (PEMDAS)

75 - 12 + 3

75 - 9

Step 4: 66

From the solution, Kevin made an error in step 3 by adding 2 and 3 instead of multiplying 6 and 2

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For what values of x and y is quadrilateral ABCD a parallelogram?

Answers

Answer:

x = 6 y = 4

Step-by-step explanation:

AB = DC

AD = BC

we use AB and DC

6x - 26 = 8x - 38

-26 + 38 = 8x - 6x

12 = 2x

x = 12 : 2

x = 6

---------------

check

6 * 6 - 26 = 8 * 6 - 38

36 - 26 = 48 - 38

10 = 10

the answer is good

now we use AD and BC

6y + 12 = 3x + 24

-3x + 6y - 12 = 0

3y - 12 = 0

3y = 12

y = 12 : 3

y = 4

----------------------

check

6 * 4 + 12 = 3 * 6 + 24

24 + 12 = 12 + 24

36 = 36

the answer is good

Using a volume of 20000 and an angle of 10 can you find the base and height of a right triangular prism

Answers

Answer:

No, I don't think so....

Step-by-step explanation:

Volume = 1/2 * Base * Height * Length

     Height =  Base * tan 10  

The underlined items you have,but there is still 2 unknowns and only one equation to solve them <=====  so I think you need one more piece of the puzzle to solve....    either the base or the length of the prism.

The spin and dine restaurants ice cream for dessert Chloe actually won a bet and gets to spin two spinners disliked one random flavor of ice cream and one random topping. A, how many different possible combinations can she spin. B what is the probability of spinning Chloe's preference vanilla ice cream with chocolate a rainbow sprinkles,

Answers

The probability of spinning vanilla ice cream with chocolate a rainbow sprinkles is 1/12

The missing part of the question

Flavor of ice cream: Vanilla, Strawberry, Chocolate

Topping: Rainbow sprinkles, Caramel sauce, Nuts, Cherries

The number of different combinations

Using the dataset above, we have:

Ice cream = 3

Topping = 4

The number of different combinations is calculated as:

Combination = ice cream * Topping

Evaluate

Combination = 3 * 4

Combination = 12

Hence, the number of different combinations is 12

The probability of spinning vanilla ice cream with chocolate a rainbow sprinkles

The vanilla ice cream with chocolate a rainbow sprinkles is just one of the 12 combinations.

So, the probability is:

P = 1/12

Hence, the probability of spinning vanilla ice cream with chocolate a rainbow sprinkles is 1/12

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compare the graph of g(x) = x^2 + 6 with the graph of f(x)=x^2

Answers

If the parent graph is transformed to x^2 + 6, this shows that the parent function translated 6 units up the graph to create the graph x^2+6

What are quadratic graphs

These are graph with function of leading degree of 2. The parent function for a quadratic graph is x^2

f(x)= x^2

If the parent graph is transformed to x^2 + 6, this shows that the parent function translated 6 units up the graph to create the graph x^2+6

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What is the value of y in the equation 5x 2y = 20, when x = 0.3? 2.5 2.8 9.25 10.75

Answers

Y=9.5
Hope that helps

Answer:

Y = 9.5

(option C)

The measure of Angle DCG is 145° What is AngleDCE?

Answers

Answer:

Divide each term in

D

C

G

=

145

°

by

C

G

and simplify.

D

=

145

°

C

G

Step-by-step explanation:

ty

how to find the volume of a room

Answers

multiply the height x the length x the width to find the volume of a room (or another 3d object)

Hallar la ecuación de la recta qué pasa por el punto (2,3) y cuya abscisa en el origen es el doble que la ordenada en el origen

Answers

Sería 5 pues porque yo solo los agregaría

i rlly need helpp due in 2 dayssss

Answers

Answer:

84 R4

Step-by-step explanation:

Answer:

84 R4

Step-by-step explanation:

[tex]9\sqrt{760}[/tex]

multiply 9 by each answer choice then pick the one that makes sense

9×84= 756    9×83=747   9×85=765

756+4= 750 747+3= 750  

If a, a²+ 1 and a+6 are in an AS, find the possible values of a. ​

it's of optional math. If someone know how to solve this. please help me I have been trying this for like half hour

Answers

a, a² + 1 and a + 6 are all in arithmetic progression, in which there is a fixed difference d between consecutive terms. This mean we have

a² + 1 = a + d

a + 6 = a² + 1 + d

Eliminate d and solve for a :

(a² + 1) - (a + 6) = (a + d) - (a² + 1 + d)

a² - a - 5 = -a² + a - 1

2a² - 2a - 4 = 0

a² - a - 2 = 0

(a - 2) (a + 1) = 0

a - 2 = 0   or   a + 1 = 0

a = 2   or   a = -1

Consider these dimensions for a cylindrical aquarium.

A cylinder with height 14 feet and radius 25 feet.

The measures have been substituted in the formula for the volume of a cylinder.

V = π252(14)

Approximately how much water will fill the tank?
Use the calculator to approximate the amount to the nearest hundredth.

cubic feet

Answers

The amount of water that will fill the tank is 11100 cu.ft to the nearest hundredth.

What is a Cylindrical figure ?

A cylinder is a three dimensional figure with two identical circular faces at each end , and a curved surface.

It does not have an edges or vertices.

It is given in the question that

A cylinder with height 14 feet and radius 25 feet.

The volume of a cylinder.

V = π252(14)

The water than can be filled is equal to the volume of the cylinder

V = 11088 cu.ft

There  the amount of water that will fill the tank is 11100 cu.ft to the nearest hundredth.

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Answer: 27,488.94 cubic feet

Step-by-step explanation:

Which of the following could be the equation of a line perpendicular to the line 2x−5y=7?

Answers

The equation of a line perpendicular to the line 2x − 5y = 7 is y = (-5/2)x + b

What is an equation?

An equation is an expression that shows the relationship between two or more variables or numbers.

Two lines are said to be perpendicular if the product of their slopes is equal to -1.

The slope of the line:

2x - 5y = 7

5y = 2x - 7

y = (2/5)x - 7

The slope of the line 2x - 5y = 7 is 2/5. The slope of the line perpendicular is -5/2

Hence:

The equation of a line perpendicular to the line 2x − 5y = 7 is y = (-5/2)x + b

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Which choices are equivalent to the exponential expression below? Check all
that apply.
□A.0.0
OB. 25
O C. 125
OD. 195
E. 3.
53
33
5/3
OF.
ი|ო

Answers

The expression equivalent to this sentence expression is (5/3) . (5/3) . (5/3). Letter A

.

We know that a power is a multiplication of equal factors - according to the exponent.

A power is represented by aⁿ, where: 'a' indicates base and 'n' indicates exponent.

To represent this expression in multiplication, let's just:

repeat the expression three times (according to its exponent).

Resolution

[tex] \large \sf ( \dfrac{5}{3} ) {}^{3} [/tex]

[tex] \blue { \boxed{ \large \sf \dfrac{5}{3} \times \dfrac{5}{3} \times \dfrac{5}{3} }} \\ [/tex]

So, the answer correct is (5/3) . (5/3) . (5/3).

The table below shows the different combinations of honey and oats that can be used in making granola​

Answers

Answer:

10:4

Step-by-step explanation:

it can be simplified

We can actually deduce here that the honey to oats ratio that doesn't follow the pattern in the table is: 10:4.

What is ratio?

Ratio actually refers to the way that two or more numbers are compared in relation to their size to each other. It shows how much of one number is found in another.

From the honey to oats ratio, we can see that the pattern goes thus:

5 - 2 = 3 (this should be the number of cups of oat for the next role of ratio).

This is because 10 - 3 = 7

Then 15 - 7 = 8

Therefore, the ratio that doesn't follow the pattern is 10:4.

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Find the area of the shade regions. Give your answer as a completely simplify exact value in terms of pie(no approximation). a=

Answers

Answer:

41.87 cm²

Step-by-step explanation:

Area of shaded region :

Area (sector of radius 7 cm) - Area (sector of 3 cm)π × θ/360° (r₁² - r₂²)3.14 x 120/360 (49 - 9)3.14 x 1/3 x 40125.6/341.87 cm²

Solve for the x in the inequality 6(2−6x)≤4−35x 6 ( 2 − 6 x ) ≤ 4 − 35 x .

Answers

Answer:

8 ≤ x

Step-by-step explanation:

6(2 − 6x) ≤ 4 − 35x

Expand bracket;

12 - 36x ≤ 4 − 35x

Add 36x to both sides to get;

12 ≤ 4 + x

Subtract 4 from both sides to get;

8 ≤ x

Hi student, let me help you out! :)

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

We are asked to solve the inequality 6(2-6x)≤4-35x.

[tex]\triangle~\fbox{\bf{KEY:}}\star[/tex]

[tex]\star[/tex] We need to get x all by itself.

First, we can use the distributive property and distribute 6:

[tex]\star\large\pmb{12-36x\leq4-35x}[/tex]

Now, add 35x to both sides:

[tex]\star\large\pmb{12-x\leq 4}[/tex]

And now, subtract 12 from both sides:

[tex]\star\large\pmb{-x\leq-8}[/tex]

Divide both sides by -1 and watch what happens:

[tex]\star\large\pmb{x\geq 8}[/tex]

Have you noticed that the inequality sign changed from "less than" to "greater than"?

Well, that happened because we divided both sides by a negative number, -1.

Thus, [tex]\star~\large\pmb{x\geq 8}[/tex]

Hope this helps you out! :D

Ask in comments if any queries arise.

#StudyWithBrainly

~Just a smiley person helping fellow students :)

[tex]\pmb{M^ar_ib^el\:P^eri}[/tex]

You have a spinner with red and blue regions. When you spin, it comes up blue 60 percent of the time. You do an experiment where you spin the spinner 180 times, and it comes up blue 114 times. (a) What proportion of spins came up blue in your sample

Answers

Answer:  0.633 approximately

Explanation:

Divide the number of times blue came up (114) over the number of spins total (180). Ignore the 60% given to you. That's a theoretical value that doesn't play any part in determining an experimental probability.

114/180 = 0.633 approximately

The '3's go on forever. Round that however your teacher instructs.

find the smallest number of terms of the AP "-54,-52.5,-51,-49.5" ....that must be taken for the sum of the terms to be positive

Answers

The smallest number of terms of the AP that will make the sum of terms positive is 73.

Since we need to know the number for the sum of terms, we find the sum of terms of the AP

Sum of terms of an AP

The sum of terms of an AP is given by S = n/2[2a + (n - 1)d] where

n = number of terms, a = first term and d = common difference

Since we have the AP "-54,-52.5,-51,-49.5" ....", the first term, a = -54 and the second term, a₂ = -52.5.

The common difference, d = a₂ - a

= -52.5 - (-54)

= -52.5 + 54

= 1.5

Number of terms for the Sum of terms to be positive

Since we require the sum of terms , S to be positive for a given number of terms, n.

So, S ≥ 0

n/2[2a + (n - 1)d] ≥ 0

So, substituting the values of the variables into the equation, we have

n/2[2(-54) + (n - 1) × 1.5] ≥ 0

n/2[-108 + 1.5n - 1.5] ≥ 0

n/2[1.5n - 109.5] ≥ 0

n[1.5n - 109.5] ≥ 0

So, n ≥ 0 or 1.5n - 109.5 ≥ 0

n ≥ 0 or 1.5n ≥ 109.5

n ≥ 0 or n ≥ 109.5/1.5

n ≥ 0 or n ≥ 73

Since n > 0, the minimum value of n is 73.

So, the smallest number of terms of the AP that will make the sum of terms positive is 73.

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Suppose you drive an average of 15,000 miles per​ year, and your car gets 24 miles per gallon. Suppose gasoline costs ​$3.20 a gallon. a. How much money do you spend each year on​ gasoline? b. You plan to trade in your car for one that gets x more miles per gallon. Write an expression to represent the new yearly cost of gasoline. c. Write an expression to represent your total savings on gasoline per year. d. Suppose you can save ​$600 a year with the new car. How many miles per gallon does the new car​ get?

Answers

Answer:

a) $2000

b) 15000(3.20)/(24+x) = new gasoline cost (replace with variable of your choice)

c) 2000-(15000(3.20)/(24+x)) = money saved (replace with variable)

d) ~34.29 miles (34.28571 miles)

Step-by-step explanation:

a) [15000(3.20)]/24 = 2000

b) use the formula above, but the denominator is 24+x (or variable of your choice) because the amount of mpg is increased

c) take the formula from a, then subtract formula in b from it

d) take formula c, replace the variable (variable = money saved) with 600

5/9 divided by 20/27 in its simplist form

Answers

Answer: 3/4

Step-by-step explanation:   Find the reciprocal of the divisor

Reciprocal of 20/27: 27/20

Now, multiply it with the dividend So, 5/9 ÷ 20/27 = 5/9 × 27/20=  5 × 27/9 × 20 = 135/180

After reducing the fraction, the answer is

3/4

A unit circle has angle θ
in standard position. Point P is on the unit circle at the coordinates ( 2√2, 2√2)
.

What is the angle in degrees?

Answers

[tex]P=(\stackrel{\stackrel{x}{adjacent}}{2\sqrt{2}}~~,~~\stackrel{\stackrel{y}{opposite}}{2\sqrt{2}}) \\\\\\ tan(\theta )=\cfrac{\stackrel{opposite}{2\sqrt{2}}}{\underset{adjacent}{2\sqrt{2}}}\implies \theta =tan^{-1}\left( \cfrac{2\sqrt{2}}{2\sqrt{2}} \right)\implies \theta =tan^{-1}(1)\implies \theta =45^o[/tex]

Make sure your calculator is in Degree mode.

A line passes through the points (-3,-4) and (6,2)


What is the x intercept of this line?

Answers

Answer: x - int : (3,0)

Step-by-step explanation:

point-slope form: y - y1 = m(x - x1)

m = y2-y1/x2-x1

   = -4-2/-3-6

   =-6/-9

   = 2/3

y1 = 2

x1 =6

y - 2 = 2/3(x-6)  

x -int: when y = 0, what is x?

0-2 = 2/3(x-6)

-2 = 2/3x - 4

2 = 2/3x

x=3

~Hope this helps!~

Combine the radicals 4√7+3√28.

Answers

Answer:

10√7

Step-by-step explanation:

[tex]4 \sqrt{7} + 3 \times 2 \sqrt{7} \\ 4 \sqrt{7} + 6 \sqrt{7} \\ 10 \sqrt{7} [/tex]

Answer:

10√7    

Step-by-step explanation:

To combine the radicals, you must have the same number under both radicands. Luckily, you can simplify one of the radicands. This is done by separating the radicand (√28) into its common factors (√4 x √7) and taking the square root of one of the factors (√4 = 2).

4√7 + 3√28                                 <---- Original expression

4√7 + 3(√4 x √7)                         <---- Expand √28

4√7 + (3 x 2)√7                           <----- Take √4

4√7 + 6√7                                   <---- Multiply coefficients

10√7                                            <---- Add both terms

Question 3 of 21
The graphs below have the same shape. The equation of the blue graph is
f(x)=Ix. Which of these is the equation of the red graph, g(x)?
y f(x) = |x|
g(x) = ?
A. g(x) = x +5
B. g(x) = x+ 51
C. g(x) = 1x1-5
OD. g(x)=Ix-51

Answers

The equation of the red graph, g(x) is g(x) = |x| - 5

How to determine the equation of the red graph, g(x)?

The graph that completes the question is added as an attachment

The function f(x) is given s:

f(x) = |x|

From the attached graph, we can see that the function f(x) is shifted 5 units down to get to g(x).

This means that:

g(x) = f(x) - 5

Substitute f(x) = |x|

g(x) = |x| - 5

Hence, the equation of the red graph, g(x) is g(x) = |x| - 5

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I start a walk at 2.47pm. The walk takes 85 minutes. What time does the walk finish?

Answers

Answer:

4:12pm

Step-by-step explanation:

85 minutes = 1 hour and 25 minutes

2:47pm  + 1 hour 25 minutes = 3:72 pm

72 minutes = 1 hour 12 minutes so add another 1 hour to 3 and the balance is 12 minutes so walk ends at 4:12pm

Another way to look at it is as follows:
After 13 minutes, the time is 2:47 + 0:13 = 3pm

Remaining time left is 85-13 = 72 minutes = 1 hour: 12 minutes. Add that to 3pm and you get 4:12pm

Evaluate the following limit:
[tex]\displaystyle \lim_{x \to \infty}{\frac{(x^2 + 1)^2 - 3x^2 + 3}{x^3 - 5}}[/tex]

Answers

If we evaluate the function at infinity, we can immediately see that:

        [tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{\displaystyle L = \lim_{x \to \infty}{\frac{(x^2 + 1)^2 - 3x^2 + 3}{x^3 - 5}} = \frac{\infty}{\infty}} \end{gathered}$}[/tex]

Therefore, we must perform an algebraic manipulation in order to get rid of the indeterminacy.

We can solve this limit in two ways.

Way 1:

By comparison of infinities:

We first expand the binomial squared, so we get

                         [tex]\large\displaystyle\text{$\begin{gathered}\sf \displaystyle L = \lim_{x \to \infty}{\frac{x^4 - x^2 + 4}{x^3 - 5}} = \infty \end{gathered}$}[/tex]

Note that in the numerator we get x⁴ while in the denominator we get as the highest degree terms. Therefore, the degree of the numerator is greater and the limit will be \infty. Recall that when the degree of the numerator is greater, then the limit is \infty if the terms of greater degree have the same sign.

Way 2

Dividing numerator and denominator by the term of highest degree:

                            [tex]\large\displaystyle\text{$\begin{gathered}\sf L = \lim_{x \to \infty}\frac{x^{4}-x^{2} +4 }{x^{3}-5 } \end{gathered}$}\\[/tex]

                                [tex]\ \ = \lim_{x \to \infty\frac{\frac{x^{4} }{x^{4} }-\frac{x^{2} }{x^{4}}+\frac{4}{x^{4} } }{\frac{x^{3} }{x^{4}}-\frac{5}{x^{4}} } }[/tex]

                                [tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{=\lim_{x \to \infty}\frac{1-\frac{1}{x^{2} } +\frac{4}{x^{4} } }{\frac{1}{x}-\frac{5}{x^{4} } } \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ =\frac{1}{0}=\infty } \end{gathered}$}[/tex]

Note that, in general, 1/0 is an indeterminate form. However, we are computing a limit when x →∞, and both the numerator and denominator are positive as x grows, so we can conclude that the limit will be .

Other Questions
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