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3 years ago

Which statement is true regarding the graphed functions? Can someone help me out?

Mathematics

1 answer:

lozanna [386]3 years ago

6 0

f(2) = 0

g(2) = 0

you can see in graph f and g are 0 at x= 2 and x = -2 respectively

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The radius of a circle is 10. Using π, which equation expresses the ratio of the circumference of the circle to the circle's dia

aleksley [76]

The ratio of circumference to diameter is independent of the radius.

Defining C=circumference, r=radius, D=diameter = 2r

Circumference = C = 2 π r = π D

ratio of circumference / diameter

= C/D = π

7 0

3 years ago

Read 2 more answers

Find sin(B), cos(B) and tan(B) for the right triangle ABC shown. Please show your work below.

tangare [24]

Hello!

These are the following formulas to calculate sine, cosine, and tangent.

sin = opposite / hypotenuse

cos = adjacent / hypotenuse

tan = opposite / adjacent

To find sin(B), we need to find the side opposite of angle B, and the hypotenuse.

The opposite of angle B is 12, and the hypotenuse is 13.

sin(B) = 12/13

sin^-1(12/13) = 67.3801... This can be rounded to 67.38 degrees. (Tenths place: 67.4 degrees)

To find cos(B), we need to find the side adjacent of angle B, and the hypotenuse.

The adjacent side of angle B is 5, and the hypotenuse is 13.

cos(B) = 5/13

cos^-1(5/13) = 67.3801... It can be rounded to 67.38 degrees. Rounded to the tenths place is 67.4 degrees.

To find cos(B), we need to find the side adjacent and opposite of angle B.

The adjacent side of angle B is 5, and the opposite is 12.

tan(B) = (12/5)

tan^-1(12/5) = 67.3801... This can be rounded to about 67.38 degrees. Rounded to the tenths place is 67.4 degrees.

Therefore, the value of sin(B) is 67.38 degrees, the value of cos(B) is 67.38 degrees, and finally the value of tan(B) is 67.38 degrees.

7 0

3 years ago

Read 2 more answers

The weights of 5 girls are 70 pounds, 68 pounds, 85 pounds, 62 pounds, and 70 pounds. Nina finds measures of center and measures

Zarrin [17]

Answer:

mean

Step-by-step explanation:

brainliest please

4 0

2 years ago

A home improvement contractor is painting the walls and ceiling of a rectangular room. The volume of the room is 875.00 cubic fe

Reika [66]

Answer:

The room dimensions for a minimum cost are: sides of 10 feet and height of 8.75 feet.

Step-by-step explanation:

We have a rectangular room with sides x and height y.

The volume of the room is 875 cubic feet, and can be expressed as:

$V=x^2y=875$

With this equation we can define y in function of x as:

$x^2y=875\\\\y=\dfrac{875}{x^2}$

The cost of wall paint is $0.08 per square foot. We have 4 walls which have an area Aw:

$A_w=xy=x\cdot \dfrac{875}{x^2}=\dfrac{875}{x}$

The cost of ceiling paint is $0.14 per square foot. We have only one ceiling with an area:

$A_c=x^2$

We can express the total cost of painting as:

$C=0.08\cdot (4\cdot A_w)+0.14\cdot A_c\\\\C=0.08\cdot (4\cdot \dfrac{875}{x})+0.14\cdot x^2\\\\\\C=\dfrac{280}{x}+0.14x^2$

To calculate the minimum cost, we derive this function C and equal to zero:

$\dfrac{dC}{dx}=280(-1)\dfrac{1}{x^2}+0.14(2x)=0\\\\\\-\dfrac{280}{x^2}+0.28x=0\\\\\\0.28x=\dfrac{280}{x^2}\\\\\\x^3=\dfrac{280}{0.28}=1000\\\\\\x=\sqrt[3]{1000} =10$

The sides of the room have to be x=10 feet.

The height can be calculated as:

$y=875/x^2=875/(10^2)=875/100=8.75$

The room will have sides of 10 feet and a height of 8.75 feet.

4 0

3 years ago

In the diagram below, line f is parallel to line g, and line l intersects them as shown.

Arturiano [62]

Answer:

m 8 would increase, or A

Step-by-step explanation:

7 0

2 years ago