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Marta_Voda [28]
2 years ago
9

How do you estimate a right angle ?

Mathematics
1 answer:
Rom4ik [11]2 years ago
5 0
Right angles are usually always 90 degrees, then if you are looking at right triangles, you have 45,45,90 degree triangles and 30,60,90 triangles
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What is in between 0.8 and 0.9
Fantom [35]
0.85 is between 0.8 and 0.9
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3 years ago
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Can someone please help me in one of these!?
Anarel [89]

Answer:

9) y = -200x + 1200

11) slope = -2

15) $2,450

16) 9 days

Step-by-step explanation:

9) Given the two points from the graph:

Let (x₁, y₁) = (0, 1200)

(x₂, y₂) =  (1, 1000)

Substitute these values into the following slope formula:

m = (y₂ - y₁)/(x₂ - x₁)

m = (1000 - 1200)/(1 - 0)

m = -200/1

m = -200

The slope of the line is -200.

Next, we need to determine the y-intercept, which is the point on the graph where it crosses the y-axis. Upon observing the graph, it shows that the line crosses at point (0, 1200). The y-coordinate of this ordered pair is the value of the y-intercept, b = 1200.

Therefore, the linear equation in slope-intercept form is y = -200x + 1200.

<h3>11) Given the points, (5, -18) and (-4, 0): </h3>

Let (x₁, y₁) =(5, -18)

(x₂, y₂) =  (-4, 0)

Substitute these values into the following <u>slope formula</u>:

m = (y₂ - y₁)/(x₂ - x₁)

m = \frac{0 - (-18)}{-4 - 5} = \frac{0 + 18}{-9} = -2

Therefore, the slope of the line is -2.

<h3>15) Solve:</h3>

Given the fixed fee of $200, and the $150 per hour after the initial meeting:

We can represent these in slope-intercept form:

y = 150x + 200

y = total cost for the Attorney's services

x = number of hours worked.

The y-intercept in this given problem is $200, which represents the flat fee charged for the initial meeting. While the slope in this equation is $150, which is the hourly rate that an Attorney charges his clients after the initial meeting.

If an Attorney works for 15 hours, then:

Let x = 15, and substitute its value into the equation to find the total cost:

y = 150x + 200

y = 150(15) + 200

y = 2,250 + 200

y = 2,450

Therefore, a client will pay a total of $2,450 for an Attorney's 15 hours of work.

<h3>16) Solve: </h3>

Given the water level on a Lake of 165 inches after a rainstorm, and the water level's receding rate of 3 inches per day:

We can establish the following linear equation to model this given problem:

L = -3d + 165

Where:

L = represents the water level of the Lake

d = number of days that the water level recedes

In order to find the number of days it will take before the water level recedes to 84 inches:

Substitute the value of L = 84 into the equation:

L = -3d + 165

84 = -3d + 165

Subtract 165 from both sides:

84 - 165 = 3d + 165 - 165

-27 = -3d

Divide both sides by  -3:

\frac{-27}{-3} = \frac{-3d}{-3}

9 = d

Therefore, it will take 9 days for the water level to be at 84 inches.

7 0
3 years ago
Richard and Georgia both wrote essays.
LenaWriter [7]

Answer: a) Georgia, b) 120 words

Step-by-step explanation:

We can calculate how many words they each wrote by multiplying their time and the rate at which they write words.

Richard: 45*16 = 720 words total

Georgia: 70*12 = 840 words total.

Therefore, Georgia wrote 120 more words.

3 0
2 years ago
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Answer to -13.62-(27.9)
PolarNik [594]

Answer:

−  1049

Step-by-step explanation:

-13.62-(27.9)

Primero los paréntesis:

-13.62-243

Luego continuamos por las multiplicaciones:

-806 - 243

Finalmente obtenemos:

−  1049

Espero te ayude :)

8 0
3 years ago
Which expression is equivalent to the given expression? 4p−8
balu736 [363]
<span>4p−8 = 4 (p-2)

answer is </span><span>d. 4 (p-2)</span>
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3 years ago
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