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lozanna [386]
3 years ago
7

Find the area of the following shape. You must show all work to receive credit. I really need this done haha. Will receive like

3 medals no lie..

Mathematics
1 answer:
irga5000 [103]3 years ago
5 0
The answer is 54 square units.

First, you can break the figure up into four parts. Three triangles, and one square. The first triangle is right triangle, with legs 3 units and 4 units. to find the area, multiply both legs and divide by two. That should be 6 square units. Then you should do the same with the next two right triangles. You should get 9 square units for legs 3 and 6, and get 3 square units for legs 6 and 1. Dont forget the 6x6 square, which should have area 36. Add 6+9+3+36= 54.
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37. Construct Arguments Luis and Raul are
Katarina [22]

Using the slope - intercept relation, the required equation which models the scenario and Raul's speed are ;

  • <em>y</em><em> </em><em>=</em><em> </em><em>-</em><em> </em><em>7.5x</em><em> </em><em>+</em><em> </em><em>15</em><em> </em>
  • <em>4</em><em> </em><em>miles</em><em> </em><em>per</em><em> </em><em>hour</em><em> </em>

Time difference, Δt = 1.2 hours - 0.5 hours = 0.7 hours

Change in distance, Δd = 11.25 - 6 = 5.25 miles

Assuming a constant speed :

  • Speed = (Δd ÷ Δt) = (5.25 ÷ 0.7) = 7.5 mi/hr

<u>Using the general form</u> :

  • y = bx + c

At, x = 1.2 hours ;

Miles left, y = 6 miles

End point decreases by 7.5 mi/hr (-7.5 mi/hr)

Inputting the data into the equation :

6 = - 7.5(1.2) + c

6 = - 9 + c

c = 6 + 9 = 15 miles

<u>The expression in slope intercept form becomes</u> ;

  • y = -7.5x + 15

<u>If Raul lives 5 miles closer to the beach</u> ;

<u>Time it will take Luis to get to the beach</u> :

  • Time taken = (15 ÷ 7.5) = 2.5 hours

Distance Raul has to cover = 15 - 5 = 10 miles

To reach the beach after 2.5 hours ;

  • Speed required = (10 ÷ 2.5) = 4 mi/hr

Therefore, Raul has to ride at 4 miles per hour for the plan to work.

Learn more :brainly.com/question/18405415

5 0
2 years ago
Suppose the first term of a geometric sequence is 3 and the fourth term is 192. What is the common ratio of the sequence? Write
gayaneshka [121]
An=A1 r ^(n-1)
192= 3 r ^(4-1)
192 = 3 r^3
64 = r^3
r = 4

equation:
An=3 (4)^(n-1)

6th term:
An= 3 (4)^(6-1)
An= 3072

I think this is right :)
3 0
3 years ago
If the sudent has grades of 62,67,75, and 89 what is the student's grade befire taking the final exam?
MrMuchimi

Answer:

73.25

Step-by-step explanation:

Add all numbers and divide by 4 to get the average grade.

3 0
3 years ago
Given the diagram below find the value of x if the area is 21 aquare meters
Oksanka [162]

Answer:

The answer is <u><em>7</em></u>!

Step-by-step explanation:

(x-4) (x) = 21, x^2 - 4x = 21, x^2 - 4x - 21 = 0, (x - 7) (x + 3) = 0, x = 7 and -3; x can't be negative so the answer is 7!

x = 7 and x - 4 (other side) = 3

5 0
3 years ago
A recipe for sparkling grape juice calls for 1.5 quarts of sparkling water and .75 quart of grape juice. A. How much sparkling w
cluponka [151]

Answer: We need to mix 18 quarts of sparkling water with 9 quarts of grape juice.

We need to mix 1.875 quarts of grape juice with 3.75 quarts of sparkling water.

Step-by-step explanation:

Given: A recipe for sparkling grape juice calls for 1.5 quarts of sparkling water and .75 quart of grape juice.

Since, for recipe of sparkling grape juice , they should be used in same proportion.

Let x be the amount of sparkling water need to mix with 9 quarts of grape juice, then

\frac{x}{9}=\frac{1.5}{0.75}\\\Rightarrow\ x=\frac{1.5\times9}{0.75}\\\Rightarrow\ x=18

We need to mix 18 quarts of sparkling water with 9 quarts of grape juice.

Let y be the amount of grape juice need to mix with 3.75 quarts of sparkling water, then

\frac{3.75}{y}=\frac{1.5}{0.75}\\\Rightarrow\ y=\frac{3.75\times0.75}{1.5}\\\Rightarrow\ y=1.875

We need to mix 1.875 quarts of grape juice with 3.75 quarts of sparkling water.


4 0
3 years ago
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