Explanation:
1) sin(37º)=x/10.3————>trigonometric ratio (sine)
2)7²+10²=c²—————-> pythagorean theorem
3) using sine—————> sin(51º)=9/x
using tangent —————> tan(51º)=9/x and x = 7.3 (rounded)
4)using pythagorean theorem————> 6²+7²=c²
angle b is tanx=6/7 where x = 40.6 degrees, angle a is tanx=7/6 where x = 49.4
Answers:
1)x= 6.2
2)x= 12.2
3)x= 11.6 (rounded)
4)x= 9.2
credit to genan for question 3 and 4
ur welcome :)
correct me if im wrong
brainliest please?
2
3
4
5 6
미
8 9 10
What is the value of x in the equation 8x - 2y = 48, when y = 4
6
7
14
48
Answer:
x=7 ................................
Two functions are given below. Make sure to explain!
Answer:
B. The graph of p is less steep than the graph of q.
Step-by-step explanation:
We can start by looking at each equation's y-intercepts, which are both -3/11, eliminating option A.
Next, we take a look at each equation's slope to see which is larger.
5/8 is 0.625 in decimal form. 8/5 is 1.6 in decimal form.
Therefore, q(x) has the larger slope, meaning the graph of p is less steep than the graph of q. (B.)
What is the value of X?
Answer:
C
Step-by-step explanation:
using Pythagoras' identity in the right triangle
the square on the hypotenuse is equal to the sum of the squares on the other 2 sides , that is
x² = 40² + 9² = 1600 + 81 = 1681 ( take square root of both sides )
x = [tex]\sqrt{1681}[/tex] = 41
Expand each expression In 4y5/x2
Answer:
[tex]\ln 4 -2 \ln x +5 \ln y[/tex]
Step-by-step explanation:
[tex]\ln \dfrac{4y^5}{x^2}\\\\=\ln(4y^5) - \ln(x^2)~~~~~~~~~~~;\left[ \log_b\left( \dfrac mn \right) = \log_b m - \llog_b n \right]\\\\=\ln 4 + \ln y^5 - 2\ln x~~~~~~~~~~~~;[\log_b m^n = n \log_b m ~\text{and}~\log_b(mn) = \log_b m + \log_b n ]\\\\=\ln 4 + 5 \ln y -2 \ln x\\\\=\ln 4 -2 \ln x +5 \ln y[/tex]
Answer: Answer B
Step-by-step explanation: Let's begin
Answer: B in 4 - 2 in x + 5 in y
What is 7 to the 2018th power
Answer: infinity
the answer should be infinity since the number 7 will have to be multiplied with itself 2018 times.
hope that helps....
Your bathroom floor is a square with side lengths of 9 feet. (Area = s^2)
A contractor is tiling your bathroom with one-foot square tiles. How many tiles are needed for the job?
Answer: 81.
Step-by-step explanation: It is given that the side lengths are all 9 feet. Since the bathroom is a square, all the sides of the bathroom are 9 feet. You can use the formula (area = s^2). 9 x 9 is 81.
The side length of a square is 9 units. The square is reflected over the x-axis in the coordinate plane. What is the length of the side of the image? 0 10 -9 9
Answer:
9 units
Step-by-step explanation:
Reflections do not change the size of a shape, only dilations do. The side length will stay 9 units.
I need help finding the length of the apothem! We have to round one decimal place.
Answer: 5.2
The apothem angle is 360/10, which is 36.
Therefore, we have tangent 36 = 3.8/a
And solving for a, we find that it is 5.2
The demand function for a christmas music cd is given by q=0. 6(3800-p^2)
The expression E(p) represents the elasticity at point p and by putting the known data we can find the value of elasticity.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have a demand function:
q=0. 6(3800-p²)
Differentiate with respect to p:
[tex]\rm \dfrac{dq}{dp} = -1.2p[/tex]
We know the elasticity:
[tex]\rm E(p) = \dfrac{dq}{dp}\times\dfrac{p}{q}[/tex]
[tex]\rm E(p) =-1.2p \times\dfrac{p}{0.6(3800-p^2)}[/tex]
[tex]\rm E(p) = -\dfrac{2p^2}{(3800-p^2)}[/tex]
Here the data for p and q are not given, but we can find any value using the above expression by putting the known data.
Thus, the expression E(p) represents the elasticity at point p and by putting the known data we can find the value of elasticity.
Learn more about the function here:
brainly.com/question/5245372
#SPJ4
Someone pls help me ASAP! Express the following as the sum of its partial fraction: 2x+4/x(x+2)(x-4)
The sum of the partial fraction is [tex]\frac{2x + 4}{x(x + 2)(x -4)} = -\frac 12 + \frac{1}{2(x -4)}[/tex]
How to express as partial fractions?The expression is given as:
[tex]\frac{2x + 4}{x(x + 2)(x -4)}[/tex]
As a partial fraction, we have:
[tex]\frac{2x + 4}{x(x + 2)(x -4)} = \frac Ax + \frac{B}{x + 2} + \frac{C}{x -4}[/tex]
Take the LCM
[tex]\frac{2x + 4}{x(x + 2)(x -4)} = \frac {A(x + 2)(x -4) +Bx(x -4) + Cx(x + 2)}{x(x + 2)(x -4)}[/tex]
This gives
2x + 4 = A(x + 2)(x -4) +Bx(x -4) + Cx(x + 2)
Expand
[tex]2x + 4 = A(x^2 - 2x - 8) + B(x^2 - 4x) + C(x^2 + 2x)[/tex]
Further expand
[tex]2x + 4 = Ax^2 - 2Ax - 8A + Bx^2 - 4Bx + Cx^2 + 2Cx[/tex]
Collect like terms
[tex]2x + 4 = Ax^2 + Bx^2 + Cx^2 - 2Ax - 4Bx + 2Cx - 8A[/tex]
By comparing the coefficients, we have:
A + B + C = 0
-2A - 4B + 2C = 2
-8A = 4
Divide both sides of -8A = 4 by -8
[tex]A = -\frac 12[/tex]
Substitute [tex]A = -\frac 12[/tex] in the other equations
[tex]-\frac 12 + B + C = 0[/tex]
[tex]B + C = \frac 12[/tex]
[tex]C = \frac 12 - B[/tex]
[tex]-2*- \frac 12 - 4B + 2C = 2[/tex]
1 - 4B + 2C = 2
- 4B + 2C = 1
Substitute [tex]C = \frac 12 - B[/tex] in - 4B + 2C = 1
[tex]- 4B + 2*\frac12 = 1[/tex]
- 4B + 1 = 1
Subtract 1 from both sides
-4B = 0
This gives
B = 0
Substitute B = 0 in [tex]C = \frac 12 - B[/tex]
[tex]C = \frac 12 - 0[/tex]
[tex]C = \frac 12[/tex]
So, we have:
[tex]A = -\frac 12[/tex], B = 0 and [tex]C = \frac 12[/tex]
The equation [tex]\frac{2x + 4}{x(x + 2)(x -4)} = \frac Ax + \frac{B}{x + 2} + \frac{C}{x -4}[/tex] becomes
[tex]\frac{2x + 4}{x(x + 2)(x -4)} = -\frac 12 + \frac{0}{x + 2} + \frac{1}{2(x -4)}[/tex]
Evaluate
[tex]\frac{2x + 4}{x(x + 2)(x -4)} = -\frac 12 + \frac{1}{2(x -4)}[/tex]
Hence, the sum of the partial fraction is [tex]\frac{2x + 4}{x(x + 2)(x -4)} = -\frac 12 + \frac{1}{2(x -4)}[/tex]
Read more about partial fraction at:
https://brainly.com/question/18958301
#SPJ1
[tex]\sf\large\green{\underbrace{\red{Question*}}}:[/tex]
[tex] \mathcal \pink{Solve} [/tex]
[tex] \blue{3(x - 2) + 2(x + 1) = 10}[/tex]
[tex]~~~~~~~3(x-2) +2(x +1) = 10\\\\\implies 3x -6 + 2x+2 = 10\\\\\implies 5x -4 = 10\\\\\implies 5x = 10+4\\\\\implies 5x = 14 \\\\ \implies x = \dfrac{14}5 \\\\ \implies x = 2.8[/tex]
[tex]\large{\underline{\underline{\pmb{\sf{\color {red}{Solve:}}}}}}[/tex]
[tex] \sf \red{3(x - 2) + 2(x + 1) = 10}[/tex]
[tex]\large{\underline{\underline{\pmb{\frak {\color {blue}{Answer:}}}}}}[/tex]
In the above question, it is said to find out the value of "x". So, let's solve.First we gonna multiply (x - 2) with 3 and then again (x + 1) with 2.
So, it goes...[tex]3(x - 2) + 2(x + 1) = 10 \\ \\ \implies \: 3x - 6 + 2x + 2 = 10 \\ \\ \implies \: 5x - 4 = 10 \\ \\ \implies \: 5x = 10 + 4 \\ \\ \implies5x = 14 \\ \\ \implies \: x = \frac{14}{5} \\ \\ \implies \: x = 2.8[/tex]
Therefore, we've found the value of "x" and that is 2.8[tex] \boxed{ \frak \pink{Have \: a \: Splendid \: Day}}[/tex]
[tex] \boxed{ \frak \green{Be \: Brainly}}[/tex]
solve the inequality h/3 >8
which means h divided by 3 less than 8
PLS HELP
THANKS
Answer:
h>24
Step-by-step explanation:
multiply both sides by 3 to get ride of the denominator:
h>24
This chart shows the result of an experiment conducted to see the effect of different brands of fertilizers on the growth of a bean plant.
Which of the following ranges would be appropriate to use in order to represent the numerical data in centimeters on the vertical axis of a Line Graph?
A. 0.0 to 26.0
B. 0.0 to 25.0
C. 14.0 to 25.2
D. 0.0 to 20.0
The range that is appropriate to use to represent the numerical data is 0.0 to 26.0.
What is a line graph?
A line graph is a graph that is used to represent numerical data. It shows the changes in the data with the passage of time. There are two axes on a line graph, the vertical axis and the horizontal axis. The range of the vertical axis should start from 0 and end at the largest number of data set.
Please find attached the diagram. To learn more about line graphs, please check: https://brainly.com/question/27252279
#SPJ1
medain of 38,42,77,47,74,51,48,41,82,72,74,129
Answer:
The median of 38, 42, 77, 47, 74, 51, 48, 41, 82, 72, 74, and 129 is 61.5.
Step-by-step explanation:
First, rearrange the data set in order.
38, 42, 77, 47, 74, 51, 48, 41, 82, 72, 74, 129
38, 41, 42, 47, 48, 51, 72, 74, 74, 77, 82, 129
Identify how many numbers are in the set. This will make it easier to infer the median.
Counting will show that this is a 12 number data set.
To find the median:
If there are an ODD amount of numbers in a data set, take the middle number. That is your median.
If there are an EVEN amount of numbers in a data set, take the middle two numbers, add them, then divide that by 2. That is your median.
Knowing this, take your middle two numbers, 51 and 72, and add them and divide by 2.
51 + 72 = 123
123/2 = 61.5
The median of this data set is 61.5.
30-60-90 Triangle Practice
I need help with this, I do not understand anything.
(Teacher just give us hw expecting to know it already.)
Answer:
When there are numbers like that next to the radical it means multiply. like this: 2√9. You would first figure out the square root. Square root of 9 is 3. 2 times 3 is 6.
After you figure out those problems, you just need to put the number, x, and y in an equation with 2 unknowns.
Step-by-step explanation:
Answer:
When there are numbers like that next to the radical it means multiply. like this: 2√9. You would first figure out the square root. Square root of 9 is 3. 2times 3 is 6.
Step-by-step explanation:
(3x+43)^((2)/(3))+22=38
Answer:
X = 7 and -35.6666
Step-by-step explanation:
A ser of esta consists of four scores…
Answer:
x4 = 8
Step-by-step explanation:
To find the mean, add the values and divide by the number of values.
mean = (x1 + x2 + x3 + x4)/4
(3 + 12 + 7 + x4)/4 = 8
x4 + 22 = 32
x4 = 10
Answer:
x4 = 8
Step-by-step explanation:
Please help, i need right answers and be help if it with proof, ty! Figure G is rotated 90degree clockwise about the origin and then reflected over the x-axis, forming figure H.
Which sequence of transformations will produce the same results?
a reflection over the y-axis and then a rotation 90degree clockwise about the origin
a reflection over the x-axis and then a rotation 90degree clockwise about the origin
a 180degree rotation about the origin
a reflection over the y-axis and then a reflection over the x-axis
Answer:
A. A reflection over the y-axis and then a rotation 90 degree clockwise about the origin.
Step-by-step explanation:
Given information: Figure G is rotated 90degree clockwise about the origin and then reflected over the x-axis, forming figure H.
This means Figure H is made by G rotated CLOCKWISE and reflected over the X-AXIS.A sequence of transformations to produce the same results could be the opposite of this, wherein Figure H undergoes a series of transformations to form Figure G.
A reflection over the y-axis flips figure H like folding a piece of paper in half vertically. To help visualize, the point (5, -2) becomes (-5, -2). A 90 degree clockwise turn about the origin makes the point (-5, -2) on figure H to become (-2, 5). Figure G has the same point at (-2, 5).so, a reflection of figure H over the y-axis and then a rotation 90 degree clockwise about the origin will form figure G, thus producing the same results.The number of slugs in a garden t days from now is p, where
Po = 100
P1+1= 1.06pt
Work out the number of slugs in the garden 3 days from now.
The number of slugs in the garden 3 days from now is 119
How to determine the number of slugs?The function is given as:
Po = 100
[tex]P_{t+1} = 1.06P_t[/tex]
When t = 0, we have:
[tex]P_{0+1} = 1.06P_0[/tex]
[tex]P_1 = 1.06 * 100\\[/tex]
[tex]P_1 =106[/tex]
When t = 1, we have:
[tex]P_2 = 1.06 * 106[/tex]
[tex]P_2 = 112.36[/tex]
When t = 2, we have:
[tex]P_3 = 1.06 * 112.36[/tex]
[tex]P_3 = 119.1016[/tex]
Approximate
[tex]P_3 = 119[/tex]
Hence, the number of slugs in the garden 3 days from now is 119
Read more about functions at:
https://brainly.com/question/4025726
#SPJ1
Mary O’Connell is earning a weekly salary of $521.60 as a payroll clerk. She has accepted a new assignment in the tax processing department. In her new position, she will be paid an annual salary of $30,534. How much more will she earn per week in her new position
Answer:
$ 65.59 more per week
Step-by-step explanation:
Assuming she worked 52 weeks a year as a clerk :
30534 - 52 * 521.6 = $ 3410.80 more per year
now each WEEK that is 3410.80 / 52 = 65.59
What is the equation of the line shown in this graph?
Answer:
x = -2
Step-by-step explanation:
Since this is a vertical line, the equation of the line will not be in y = mx+b form. The slope of the line is undefined. So, the equation will be x =.
To figure out what x equals, look at all the x values in the coordinates or look to see where it crosses the x axis, which is at -2.
The equation is x = -2.
Which number produces a rational answer when added to 0.85
The number that produces a rational answer when added to 0.85 is; 193/180
How to identify rational numbers?A rational number is an algebraic term expressed as a fraction. The fraction can also be in decimals but only if the decimal places are not repeating or not infinitely long. If they aren't, then these are called irrational numbers.
Now, let us convert 0.85 to a fraction. Thus;
0.85 = 85/100 = 17/20
From the given options, the only one that when added to 0.85 will yield a rational number is 2/9. This is because;
17/20 + 2/9 = 193/180
193/180 is a rational number.
The missing options are;
A. 2/9
B. 0.2645751311...
C. √2
D.
Read more about rational numbers at; https://brainly.com/question/4694420
#SPJ1
Please do both you get 100 points!!
#6
Sum of exterior angles of any polygon=360°
sides=6
Measure of one angle
360/660°Option D
#7
4ft=1cm
32ft=32/4=8cmand
60ft=60/4=15cmDimensions are 8cm and 15cm
Option B
Answer:
6. d. m∠YXZ = 60°
7. b. 8 cm x 15 cm
Step-by-step explanation:
Question 6
∠YXZ is the exterior angle of a regular polygon
Exterior angle of a regular polygon = 360° ÷ number of sides
⇒ ∠YXZ = 360° ÷ 6
⇒ ∠YXZ = 60°
Question 7
Scale 1 cm : 4 ft
Therefore, to convert actual dimensions in feet to sketch dimensions in centimeters, divide dimensions in feet by 4:
⇒ width = 32 ft
⇒ width = 32 ÷ 4 = 8 cm
⇒ length = 60 ft
⇒ length = 60 ÷ 4 = 15 cm
Therefore, the dimensions of the sketch are 8 cm x 15 cm
Suppose f(x)=6x-2 and g(x)=2x+4. Find each of the following functions.
a. (f+g)(x)
b. (f-g)(x)
Need help guys
[tex] \tt \pink{nonsense = report}[/tex]
[tex] \tt \pink{correct = brainliest.\: heart. \: rate \: 5}[/tex]
Given : f(x) = 6x - 2 and g(x) = 2x + 4 .
Need To Find : Functions : (I). (f+g)(x) &, (II). (f-g)(x) .
ㅤ(I) (f+g)(x)
[tex]\sf\quad\dashrightarrow \:\: \big(\:f\:+\:g\: \big)\:x\: \:\\\sf\quad\dashrightarrow \:f \big(x \big)\:+\:g \big(x \big)\:\:\\\sf\quad\dashrightarrow \: \big(6x-2 \big)\:+\: \big(2x+4 \big)\:\:\\\sf\quad\dashrightarrow \:6x-2\:+\:2x+4\:\:\\\pmb{\sf\quad\dashrightarrow \:8x \: +\: 2\:}\:\\[/tex]
ㅤ(I) (f-g)(x)
[tex]\sf\quad\dashrightarrow \:\: \big(\:f\:-\:g\:\big)\:x\: \:\\\sf\quad\dashrightarrow \:f\big(x\big)\:-\:g\big(x\big)\:\:\\\sf\quad\dashrightarrow \:\big(6x-2\big)\:-\:\big(2x+4\big)\:\:\\\sf\quad\dashrightarrow \:6x-2\:-\:2x-4\:\:\\\pmb{\sf\quad\dashrightarrow \:4x \: -\: 6\:}\:\\[/tex]
Let u = {5,-12} and let c = -3. What is ll cu ll
Answer:
D) 39
Step-by-step explanation:
[tex]||\text{c}\bold{u}||=||3\langle5,12\rangle||=||\langle3*5,3*12\rangle||=||\langle15,36\rangle||=\sqrt{15^2+36^2}=\sqrt{225+1296}=\sqrt{1521}=39[/tex]
What is the area of a circular pizza with a radius of 9 cm? b. 28.3c * m ^ 2 od. 1017.9c * m ^ 2 c. 254.5c * m ^ 2 a. 56.5c * m ^ 2
Answer:
254.5 cm²
Step-by-step explanation:
area = πr²
area = 3.14159 × (9 cm)²
area = 254.5 cm²
Bob's family pays $50.37 at the pizzeria. This included a 19% tip. What was the cost of the bill without the tip percentage. (Please include how to solve it)
Answer:
$43.33
Step-by-step explanation:
50.37/119 = ?/100
cross multiply,
? = 43.3277
Give brainliest, please!
Hope this helps :)
Sana's mother bought produce for Sunday dinner. She bought one more pound of peaches than pounds of tomatoes. She bought 3 times as many pounds of tomatoes as pounds of mushrooms. If peaches cost $6 per lb, tomatoes cost $3 per lb, and mushrooms cost $10 per lb, how many of each did Sana's mother buy for $80?
Using a system of equations, it is found that Sana's mother bought 6.72 pounds of peaches, 5.72 pounds of tomatoes and 2.24 pounds of mushrooms for $80.
What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the variables are given as follows:
Variable x: Number of pounds of peaches.Variable y: Number of pounds of tomatoes.Variable z: Number of pounds of mushrooms.She bought one more pound of peaches than pounds of tomatoes, hence:
x = y + 1.
y = x - 1.
She bought 3 times as many pounds of tomatoes as pounds of mushrooms, hence:
x = 3z.
y = x - 1 = 3z - 1.
She spent a total of $80, hence considering the cost per pound of each product we have that:
6x + 3y + 10z = 80.
Considering the values of x and y as function of z and replacing in the equation, we have that:
6(3z) + 3(3z - 1) + 10z = 80
18z + 9z - 3 + 10z = 80.
37z = 83.
z = 83/37
z = 2.24.
Then:
x = 3z = 3 x 2.24 = 6.72.
y = x - 1 = 3z - 1 = 6.72 - 1 = 5.72.
Hence, she bought 6.72 pounds of peaches, 5.72 pounds of tomatoes and 2.24 pounds of mushrooms for $80.
More can be learned about a system of equations at https://brainly.com/question/24342899
#SPJ1
7 lbs peaches, 6 lbs tomatoes, 2 lbs mushrooms
yum!
Hello! :D can someone help me solve this system of equations in the picture
By identifying the intersection between the graphs, we conclude that the solution is (-3, 4).
How to solve the system of equations?To graphically solve a system of equations, we need to graph the equations of the system in the same coordinate axis, and then find the intersection points between the graphs.
Here we already have the equations graphed, so we only should find the points of intersection.
We can see two red lines, we can see that the lines intersect at the point (-3, 4). This means that the solution of the system of equations is the point (-3, 4).
If you want to learn more about systems of equations:
https://brainly.com/question/13729904
#SPJ1
Please help meeeeeee thank youuu
KJ and GH
FG and KF
FI and GH
FI and JH
The lines that best represent perpendicular lines are: D. FI and JH.
What are Perpendicular Lines?Perpendicular lines are lines that meet at a right angle, that is, the point of their intersection forms a right angle.
From the image given, lines FI and JH intersect at point I, and also appears to form a right angle.
Therefore, the lines that are perpendicular in the image are: D. FI and JH.
Learn more about perpendicular lines on:
https://brainly.com/question/1202004
#SPJ1