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3 years ago

Find the average rate of change (-4,-7)(-2,3)

Mathematics

1 answer:

Basile [38]3 years ago

6 0

The average rate of change is m=5.
Hope this helped.

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Quincy is trying to estimate the height of a tree in his backyard. He measures the tree’s shadow as 12 ft. He stands near the tr

marishachu [46]

Write this as a large fraction, meaning one number over top the other number. The answer is "12/x = 5/4"

8 0

3 years ago

Solve the right triangle, ΔABC, for the missing sides and angle to the nearest tenth given angle B = 39° and side c = 13.

hram777 [196]

Answer:

Part 1) $b=8.2\ units$

Part 2) $a=10.1\ units$

Part 3) $A=51\°$ and $C=90\°$

Step-by-step explanation:

see the attached figure with letters to better understand the problem

step 1

Find the side b

we know that

In the right triangle ABC

The function sine of angle B is equal to divide the opposite side angle B (AC) by the hypotenuse (AB)

$sin(B)=AC/AB$

we have

$AB=c=13\ units$

$AC=b$

$B=39\°$

substitute

$sin(39\°)=b/13$

solve for b

$b=(13)sin(39\°)$

$b=8.2\ units$

step 2

Find the side a

we know that

In the right triangle ABC

The function cosine of angle B is equal to divide the adjacent side angle B (BC) by the hypotenuse (AB)

$cos(B)=BC/AB$

we have

$AB=c=13\ units$

$BC=a$

$B=39\°$

substitute

$cos(39\°)=a/13$

solve for a

$a=(13)cos(39\°)$

$a=10.1\ units$

step 3

Find the measure of angle A

we know that

In the right triangle ABC

$C=90\°$ ----> is a right angle

$B=39\°$

∠A+∠B=90° ------> by complementary angles

substitute the given value

$A+39\°=90\°$

$A=90\°-39\°$

$A=51\°$

5 0

4 years ago

A student answered 40 problems on a test correctly and received a grade of 80%. How many problems were on the test, if all the p

KatRina [158]

Answer:

Step-by-step explanation:

80x/100 = 40

80x = 4000

x= 50 problems

6 0

3 years ago

Read 2 more answers

Solve the problem. The formula d = rt gives the distance traveled in time t at rate r. If a bicyclist rides for 2.3 hours and tr

Contact [7]

Answer:

17.83

Step-by-step explanation:

d = r*t

d = 41 miles

t = 2.3 hours

r = ??

d = rt Substitute

41 = r * 2.3 Divide by 2.3

41 / 2.3 = r Switch sides

r = 41/2.3

r = 17.83 mph Answer

4 0

4 years ago

What equation represents the line that passes through the points (0, 2) and (9, 0)?

Kay [80]

Let point A be $(0, 2)$ and point B $(9, 0)$

$m = \frac{y_2 - y_1}{x_2 - x_1} =\frac{0 - 2}{9 - 0} = \frac{-2}{9}$

Use the point-slope formula and whichever point you want as $(x_1, y_1)$ , in this case I'll use $(0, 2)$

$y - y_1 = m(x - x_1)\\y - 2 = -\frac{2}{9}(x - 0)\\y -2 = -\frac{2}{9}x\\y = -\frac{2}{9}x + 2$

5 0

3 years ago