A: 5. 2
B: 8. 4
C: 4. 7
D: 7. 8
Answer:
Step-by-step explanation:
Ah...right triangle trig. Gotta love this stuff (you better, because it never goes away!). We need to remember SohCahToa which tells us that the sin of an angle is equal to the side opposite the angle over the hypotenuse; the cos of an angle is equal to the side adjacent to the angle over the hypotenuse; the tan of an angle is equal to the side opposite the angle over the side adjacent the angle. x is the side across from our given angle, while 7 is the side adjacent. That means that we will use the tangent ratio to solve.
[tex]tan\theta=\frac{opp}{adj}[/tex] and filling in:
[tex]tan48=\frac{x}{7}[/tex]. Solving for x:
7tan(48) = x. Do this on your calculator in DEGREE mode (NOT radians!) to get that x = 7.77 which rounds nicely to D: 7.8
find the value of x - please help!
Answer:
x=32
Step-by-step explanation:
you have to solve by taking the interior angle of polygon
You are painting the root of a boathouse. You are going to place the base of a ladder 12 feet from the boathouse. How long does the ladder need to be to reach the poof of the boathouse?
Answer:
37 ft
Step-by-step explanation:
The ladder forms a right triangle as it elan's against the wall of the boat house.
Thus, the length of the ladder can be determined using Pythagorean theorem.
c² = a² + b²
c = length of ladder
a = 35 ft
b = 12 ft
Plug in the values
c² = 35² + 12²
c² = 1,225 + 144
c² = 1,369
c = √1,369
c = 37
Therefore, to reach the roof of the boathouse, the length of the ladder = 37 ft
What is -7 + 1/3?
Answers:
-7 1/3
-6 2/3
6 2/3
7 1/3
Answer:
-6 2/3
Step-by-step explanation:
Answer
- 6 2 / 3
Step-by-step explanation:
answer is - 6 2/ 3
List all the factors of 42.
What is the greatest common factor of 42 and 15?
What is the greatest common factor of 42 and 50?
Answer:
42: 1,2,3,6,7,14,21,and 42
GCF of 42 & 15: 3
GCF of 42 & 50: 2
Step-by-step explanation:
have a day
Answer:
3 and 2
Step-by-step explanation:
The factors of 42 are 1,2,3,6,7,14,21,42;
The factors of 15 are 1,3,5,15.
The factors of 42 are 1,2,3,6,7,14,21,42;
The factors of 50 are 1,2,5,10,25,50
The front of the stage, side C, is 50 feet long. A 40-foot rope runs along the side of square B. A 30-foot rope runs along the side of square A. Is the roped off area, triangle ABC, a right triangle? Explain.
Answer:
C=hypotenuse [h]=50 feet
A=[base]=40foot.
B=perpendicular [p]=?
Area =?
we have
By using Pythagoras law
p²+b²=h²
B²=40²=50²
B²=50²-40²
B=√900
B=30feet
we have
Area of triangle =½×A×B=½×30×40=600feet²
the roped off area is 600 square feet.
it is a right angled triangle.
Find Base
√50²-40²√30²30ftArea
1/2BH1/2(30)(40)30(20)600ft²Off course right angle
Which is equivalent to
(102)1/22
A. 10
B. 50
O c. /20
OD. /105
help!!!! is it true or false?
Answer:
False.
Step-by-step explanation:
Justice has a box of trading cards. There are three types of trading cards in the box, a basketball, a football, and a soccer ball. The probability of picking out a basketball card is 25, and the probability of picking out a football card is 13. What is the probability Justice will randomly pick out a soccer card?
Answer: 4/15
Step-by-step explanation:
Probability of picking out a basketball card = 2/5
Probability of picking out a football card = 1/3
Therefore, the probability of picking out a soccer card will be:
= (1 - 2/5 - 1/3)
= (15/15 - 6/15 - 5/15)
= 4/15
Therefore, the probability that Justice will randomly pick out a soccer card is 4/15.
Find the measure of the indicated angle to the nearest degree.
A. 76
B. 14
C. 44
D. 46
Angle A in triangle ABC is approximately 76 degrees. So, correct option is A.
In a right triangle, the side opposite the right angle is called the hypotenuse, and the other two sides are called the legs. Let's consider triangle ABC, where angle B is the right angle, AC is the hypotenuse, and BC is one of the legs.
We are given that AC = 33 and BC = 32. To find angle A, we can use trigonometric ratios. In this case, we can use the sine function.
The sine of angle A is defined as the ratio of the length of the side opposite angle A (BC) to the length of the hypotenuse (AC):
sin(A) = BC / AC
Substituting the given values, we have:
sin(A) = 32 / 33
Using the inverse sine function (sin⁻¹), we can find the value of angle A:
A = sin⁻¹(32 / 33)
Using a calculator, we find that angle A is approximately 75.85 degrees. Rounding off to the nearest angle we get 76 degrees.
Therefore, angle A in triangle ABC is approximately 76 degrees. So, correct option is A.
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Christian is going to invest $310 and leave it in an account for 20 years. Assuming the interest is compounded daily, what interest rate, to the nearest hundredth of a percent, would be required in order for Christian to end up with $1,000?
Answer:
r=5.86%
Step-by-step explanation:
Maria wants to huy some coffe mugs and plastic plates. The total cost of five coffe mugs and four plastic olayed is $28 and tge total cost of two coffe mugs and two plastic olates is $12 Write a system of equations and ise it to determine the cost of one coffe mug
Answer:
$4
Step-by-step explanation:
5c + 4p=28 equation 1
2c + 2p=12 equation 2
-2(2c +2p)=-2(12) multiply equation 2 by -2 so you can solve by elimination.
-4c-4p=-24 equation 2 multiplied by -2
5c+4p=28. Equation 1
c=4 added above 2 equations
solve for plates:
2c + 2p=12
2(4)+ 2p=12
8+2p=12
2p=4
p=2
check answer:
5c+4p=28. Equation 1
5(4)+4(2)=28
20+8=28
28=28
Instructions to the teacher:
You can give partial credit for partial solutions. The total is 36 points, so divide the student's score by 36 and
multiply by 100 to get a percent score. For example, if the student scores 30, divide 30 = 36 to get 0.8333. The
percent score is 83%.
Question Max. points Student score
1
2 points
2 1 point
3
4 points
Question Max. points Student score
8 1 point
9 3 points
10
3 points
11 4 points
12
3 points
13
3 points
TOTAL 36 points
36
4
4 points
5
2 points
6
2 points
4 points
7
Answer:
It’s 3,1 pretty sure
Step-by-step explanation:
Innovative School System
Madison randomly surveyed 50 students at her high school about their favorite color, and 18 students chose blue. Madison concluded that
blue was the favorite color of 720 students in her entire high school of 2000 students.
Choose all of the statements that accurately describe the sample and population from Madison's survey.
O A. The sample of 50 students comes from the population of 2000 students.
B. The sample value of 18 is an estimate of students from the survey whose favorite color is blue.
c. The sample value of 18 is the exact number of students from the survey whose favorite color is blue.
UD. The population value of 720 is an estimate of students in the entire school whose favorite color is blue.
E. The population value of 720 is the exact number of students in the entire school whose favorite color is blue.
Answer:
is not , something other than red, 45%, 55%
Step-by-step explanation:
Find the total surface area of the
following cylinder:
r= 5 cm
5 cm
SA = [? ]ī cm2
Answer:
Surface area = 2πrh + 2πr^2
= (2 × 22/7 × 5 ×5 + 2×22/7×25)cm^2
= (1100/7+1100/7)cm^2
= 2200/7 = 314.28571) cm^2 (ans)
Hope it helps
Answer:
100 pi
Step-by-step explanation:
The zoo charges $4 admission fee
along with a $2 charge for each
exhibit you visit. what is the initial value, rate of change, and table values
Answer:
Intial Value; $4 (charged)
Rate of change: $2 every exhibit visited
Admission: $4
1 exhibit visited: $6
2 exhibits visited: $8
3 exhibits visited: $10
4 exhibits visited: $12
5 exhibits visited: $14
6 exhibits visited: $16
7 exhibits visited: $18
8 exhibits visited: $20
etc.
Step-by-step explanation:
4+2x = C
C= Cost
X = amount of exhibits visited
To find the total cost.
NEED HELP ASAP. 30 points will give brainlyest
Answer:
This question has incorrect answers but the answer that they are looking for is: 24 hours
Step-by-step explanation:
The average is the total hours divided by the number of weeks
So far Emily has 6 hours for the first 3 weeks, x is the number of hours she needs to work in the 4th week.
(6+x)/4=10
6+x = 40
x = 34
All the answers they gave are wrong because they did not account for the 4th week while taking averages.
Sin=
Help help help pls
Answer:
The answer is D. 8/17
Step-by-step explanation:
We know, sin= opposite/hypotenuse
So as Θ is referring to Angle L
∴ sin Θ = 8/17
Jacob and his dad end up hiking up to the top. If the base of the mountain is 2,600 feet wide and the mountain is pretty much isosceles, what is the total distance that Jacob and his dad hiked from their campsite to the top of the mountain?
The total distance that Jacob and his dad hiked from their campsite to the top of the mountain is approximately 7,105.92 feet.
To calculate the total distance Jacob and his dad hiked from their campsite to the top of the mountain, we need to consider the width of the base of the mountain and the height of the mountain.
Given:
Base width of the mountain: 2,600 feet
Since the mountain is pretty much isosceles, we can assume that the height of the mountain is equal to the length of the two equal sides of the triangle formed.
To find the height of the mountain, we can use the Pythagorean theorem.
Let's assume the height of the mountain is 'h' feet.
Using the Pythagorean theorem, we have:
[tex](2,600/2)^2 + h^2 = 2,600^2[/tex]
Simplifying the equation:
[tex]1,300^2 + h^2 = 2,600^2\\1,690,000 + h^2 = 6,760,000[/tex]
[tex]h^2 = 6,760,000 - 1,690,000\\h^2 = 5,070,000[/tex]
Taking the square root of both sides:
h = sqrt(5,070,000)
h ≈ 2,252.96 feet
Now we can calculate the total distance they hiked from their campsite to the top of the mountain by considering the base width and the height of the mountain.
Total distance = Base width + 2 × Height
Total distance = 2,600 + 2 × 2,252.96
Total distance ≈ 2,600 + 4,505.92
Total distance ≈ 7,105.92 feet
Therefore, the total distance that Jacob and his dad hiked from their campsite to the top of the mountain is approximately 7,105.92 feet.
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Janelle sells necklaces and bracelets online. She sells each necklace for $16 and each bracelet for $12. What expression represents the total amount of money Janelle made last month from selling a necklaces and bracelets
Pls help
Answer:
Y = 16a + 12b
Step-by-step explanation:
Given:
Cost of each neckless = $16
Cost of each bracelet = $12
Find:
Equation for the following state
Computation:
Assume;
Number of neckless sale in a month = a
Number of bracelet sale in a month = b
Total amount she earn = Y
So,
Total amount she earn = (Cost of each neckless)(Number of neckless sale in a month) + (Cost of each bracelet)(Number of bracelet sale in a month)
Y = (16)(a) + (12)(b)
Y = 16a + 12b
enter an equation in the form of y = MX + b that represents the function described by the graph
Answer:
y=2/3+3
Step-by-step explanation:
can someone help me with this? no links pls!
Given:
The diagram.
To find:
(a) [tex]m\angle SQT[/tex]
(b) [tex]m\angle QRW[/tex]
(c) [tex]m\angle PRV[/tex]
Solution:
(a)
If two lines intersect each other at a point, then the vertically opposite angles are equal.
[tex]m\angle SQT = m\angle PQR[/tex] (Vertically opposite angles)
[tex]m\angle SQT = 36^\circ[/tex]
Therefore, the measure of angle SQT is 36 degrees.
(b)
If a transversal line intersect two parallel lines, then the alternate interior angles are equal.
[tex]m\angle QRW = m\angle PQR[/tex] (Alternate interior angles)
[tex]m\angle QRW = 36^\circ[/tex]
Therefore, the measure of angle QRW is 36 degrees.
(c)
It is given that the angles PRV and angle PRQ are congruent.
Let the measures of angle PRV and angle PRQ are x degrees.
[tex]m\angle PRV+m\angle PRQ+m\angle PQR=180^\circ[/tex] (Adjacent interior angles are supplementary)
[tex]x+x+36^\circ=180^\circ[/tex]
[tex]2x=180^\circ -36^\circ[/tex]
[tex]2x=144^\circ[/tex]
Divide both sides by 2.
[tex]x=\dfrac{144^\circ}{2}[/tex]
[tex]x=72^\circ[/tex]
Therefore, the measure of angle PRV is 72 degrees.
Which solution correctly solves the problem 6x - 19 = 77? plz help
A.
B.
C.
D.
Answer:
D
Step-by-step explanation:
in order to get the process of solving the equation, we need to solve it.
our goal to solve the equation 6x-19=77 is to isolate the variable onto one side, and have the numbers (value of x) on the other
we have the equation:
6x-19=77
first, we can get rid of -19 on the left side and leave 6x on that side by adding 19 to both sides (-19+19=0).
The reason why we're adding 19 to both sides is because if we do something to one side, we have to do it to the other side to make sure the value of the equation stays the same.
6x-19= 77
+19 +19
_________
6x=96
now, we do have the variables on one side and the numbers on another side, but we aren't done yet, as we want the value of x by itself
divide by 6 on both sides
x=16 (because 6x/6=1x, or x. 96/6=16).
the option of D shows the same method I did and has the correct answer as well.
This is what was given for D:
6x-19=77
6x-19+19=77+19
6x=96
6x/6=96/6
x=16
(same thing I did)
So D is the correct answer.
Hope this helps!
If Mr. Donahue bought 10 cookies for $8.00. At this rate, how much
would it cost for 25 cookies?
Answer:
The answer is $20.
Step-by-step explanation:
The way we find how much each cookie is is by dividing 8 by 10. We get 0.8. So now we know each cookie costs 80 cents. So, for 25 cookies, all we need to do is multiply 25 and 0.8. When multiplied, you get the answer $20.
What is the least common multiple of 8 and 18?
A
16
B
36
С
72
D
144
Answer:72
Step-by-step explanation:
Answer: the answer is D
Step-by-step explanation:
Help me out please????
Answer:
Y = 60 because a equallateral triangle is always 60˚ I don't know x though
Please help! This is urgent what is the answer
Answer:
Your answer would be 3.4
Step-by-step explanation:
I would explain but it seems like you in a hurry for the answer so I'm just going to give you the answer hope you get a %100 on whatever your doing!!
Please mark brainly!
Answer:
Step-by-step explanation:
PLEASE HELLPPP PLS I
Answer:
38°
Step-by-step explanation:
The angles in a triangle always add up to 180 degrees.
Therefore, all the angles in the triangle given in the question add up to 180 degrees.
So, let's create an equation and solve for [tex]x[/tex]:
[tex]x+44 + 63 + 85 + x = 180[/tex]
Simplify:
[tex]2x + 192=180[/tex]
Solving for [tex]x[/tex] we get:
[tex]2x=-12\\x=-6[/tex]
Now, let's put the value of [tex]x[/tex] we got into the formula for angle A.
[tex]x+44=y[/tex]
[tex]-6+44=y=38[/tex]
. There are 4.14 grams of salt in a solution. If 1.8 grams of salt are added to the solution, how many grams of salt will be in the solution
Answer:
5.94g
Step-by-step explanation:
4.14+1.8=5.94gram
What is the value of y?
Answer:
y = 31
Step-by-step explanation:
Exterior angle thm:
y + y = y + 31
2y = y + 31
2y - y = 31
y = 31