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3 years ago

Use the info to write a linear equation in slope intercept form locksmith larry charges $90 for a house call plus $20 per hour

Mathematics

1 answer:

Snezhnost [94]3 years ago

6 0

Sjhfjcjxj jjcjcj jxjsoci. Skckivisk j

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In AGHI, h = 300 inches, G=30° and H=29º. Find the length of i, to the nearest inch.

dalvyx [7]

Given:

In triangle GHI, h = 300 inches, G=30° and H=29º.

To find:

The length of i.

Solution:

We have, G=30° and H=29º.

Using angle sum property, we get

$m\angle G+m\angle H+m\angle I=180^\circ$

$30^\circ+29^\circ+m\angle I=180^\circ$

$59^\circ+m\angle I=180^\circ$

$m\angle I=180^\circ-59^\circ$

$m\angle I=121^\circ$

According to Law of sines,

$\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}$

Using Law of sines, we get

$\dfrac{h}{\sin H}=\dfrac{i}{\sin I}$

$\dfrac{300}{\sin 29^\circ}=\dfrac{i}{\sin 121^\circ}$

$\dfrac{300}{0.4848}=\dfrac{i}{0.8572}$

Multiply both sides by 0.8572.

$\dfrac{300}{0.4848}\times 0.8572=i$

$530.44554=i$

$i\approx 530$

Therefore, the length of i is about 530 inches.

6 0

3 years ago

A segment with endpoints A (3, 4) and C (5, 11) is partitioned by a point B such that AB and BC form a 2:3 ratio. Find B.

Dima020 [189]

Answer:

(3.8, 6.8)

Step-by-step explanation:

Point B:

Has coordinates (x,y)

AB and BC form a 2:3 ratio.

This means that:

$B - A = \frac{2}{2+3}(C - A)$

$B - A = \frac{2}{5}(C - A)$

We apply this both for the x-coordinate and for the y-coordinate.

x-coordinate:

x-coordinate of A: 3

x-coordinate of C: 5

x-coordinate of B: x

$B - A = \frac{2}{5}(C - A)$

$x - 3 = \frac{2}{5}(5 - 3)$

$x - 3 = \frac{4}{5}$

$x = 0.8 + 3 = 3.8$

y-coordinate:

y-coordinate of A: 4

y-coordinate of C: 11

y-coordinate of B: y

$B - A = \frac{2}{5}(C - A)$

$y - 4 = \frac{2}{5}(11 - 4)$

$y - 4 = \frac{14}{5}$

$y = 2.8 + 4 = 6.8$

Thus the correct answer is:

(3.8, 6.8)

7 0

3 years ago

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8 - 2 3/5 ANSWER ASAPPPPPP TO BE BRAINLISET AND EXPLAIN HOW AND BE RIGHT

kompoz [17]

Answer:

5 2/5

Step-by-step explanation:

sorry, I know the answer, but don't know how to explain in words

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3 years ago

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Jean Marie has $4,000 in the bank, $500 worth of credit card debt and a $15,000 student loan. Jean Marie would like to know her

Aleks [24]

4,000 in bank -500 and 15000 so she had -20000 +4000 so it equals -16000

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3 years ago

On saturday, Mark sold 2 7/8 gallons of lemonade. On the same day, Regan sold 2/3 as much lemonade as Mark. How much lemonade, i

erma4kov [3.2K]

2 7/8= 2/3L
Divide both sides by 2/3 and get 4.31 or 4 5/16

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3 years ago