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3 years ago

Find the measure of all the angles

Mathematics

1 answer:

Sonbull [250]3 years ago

4 0

Step-by-step explanation:

9x+6+5x+90°= 180°

14x+96=180

14x=180-96

14x=84

x= 84/14

x=6

so, <A=5x=5(6)=30°

<B=9x+6=9(6)+6=54+6=60°

<C = 180-(30+60)=180-90=90°

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Suppose a and b vary inversely, and b = 8 when a = 6. Write a function that models the variation and find b when a = 30. Explain

ICE Princess25 [194]

1. If a and b vary inversely and b = 8 when a = 6:
b = k/ a
8 = k / 6
k = 6 * 8
k = 48
Function is:
b = 48 / a
2. When a = 30:
b = 48 / 30 = 8/5
b = 1.6

6 0

3 years ago

write a equation in a point-slope form fir the line through the given point with the given slope (9,-1);m=4/3

gavmur [86]

Answer:

y +1 = 4/3( x-9)

Step-by-step explanation:

Point slope form of an equation is

y-y1 = m(x-x1)

where m is the slope and (x1,y1) is a point on a line

y - -1 = 4/3( x-9)

y +1 = 4/3( x-9)

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2 years ago

A billboard designer has decided that a sign should have 4-ft margins at the top and bottom and 1-ft margins on the left and rig

givi [52]

An equation is formed of two equal expressions. The value of x that maximizes the area of the printed region of the billboard is 9.655 ft.

<h3>What is an equation?</h3>

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Given x is the left-right width of the billboard and y is the height of the billboard. Therefore,

The total area of the billboard, A= x·y

The total printed area of the billboard, $A_p=(x-2)(y-8)$

Given in problem that the area of the billboard is 3600 ft².

x·y = 3600

y = (3600)/x

Substituting the value of y in the equation of the total printed area of the billboard,

$A_p = (x-2)(\dfrac{3600}{x}-8)\\\\A_p = 3600 -8x -\dfrac{7200}{x} + 16\\\\A_p =3616-8x - \dfrac{7200}{x}$

Now, the value of x is needed to be minimum, therefore, differentiating the given function,

$\dfrac{d}{dx}A_p =\dfrac{d}{dx}3616-8x - \dfrac{7200}{x}\\\\\dfrac{d}{dx}A_p =-8 - \dfrac{7200}{x^2}$

Equate the differentiated function with 0,

$0=-8x - \dfrac{7200}{x^2}\\\\8x = - \dfrac{7200}{x^2}\\\\x^3 = 900\\\\x = 9.655 ft.$

Hence, the value of x that maximizes the area of the printed region of the billboard is 9.655 ft.

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2 years ago

Keith is saving money for a car. He has saved the same amount each year for the past three years, and records how much he has at

noname [10]

Answer:

Keith's unit rate of change of dollars with respect to time is $1500.

Step-by-step explanation:

It is given that Keith is saving money for a car.

Year 1: 1500

year 2: 3000

year 3: 4500

Let y be the saved amount after x year.

The coordinate pairs according to the given table are (1,1500), (2,3000) and (3,4500).

The formula for rate of change is

Consider any two coordinate pairs.

Let as consider (1,1500) and (2,3000). So, Keith's unit rate of change of dollars with respect to time is

Therefore, Keith's unit rate of change of dollars with respect to time is $1500.

8 0

3 years ago

Solve for x <br> -4(5 - x) = (x + 7)

garik1379 [7]

Answer:

x=9

Step-by-step explanation:

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3 years ago