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12345 [234]
2 years ago
11

What is the ratio of the Patio?

Mathematics
1 answer:
sashaice [31]2 years ago
4 0

Answer:

B

Step-by-step explanation:

the are of the square would be: 4*6=24

the are of one triangle would be: (6*2)/2=6 (12 in total because there are two triangles

to find the whole area, you add 24 and 12 which is B) 36 meters squared

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The function f(x) = 2x + 510 represents the number of calories burned when exercising, where x is the number of hours spent exer
riadik2000 [5.3K]

Answer: 789 calories burned while combining diet with 2 hours of exercise

Step-by-step explanation:

we have that

f(x)=2x+510

g(x)=200x-125

we know that

(f+g)(x)=f(x)+g(x)

substitute

(f+g)(x)=2x+510+200x-125

(f+g)(x)=202x+385

Find (f+g)(2)

For x=2 hours

substitute

(f+g)(2)=202(2)+385

(f+g)(2)=789\ calories

therefore

The answer is

789 calories burned while combining diet with 2 hours of exercise

8 0
3 years ago
Logan is a land surveyor. He wants to determine d, the distance across a lake that cannot be directly measured. He draws this di
Mice21 [21]

Answer:

The first option     (5.7km)

Step-by-step explanation:

Since we have a right angle triangle and we know two of its sides we can easily find out the thirds side (the value of d) by using the Pathagoras Theorem. In our case 7 and d are our legs and the hypotenuse is equal to 9, so...

(Based on the Pathagoras Theorem)

c^{2} = a^{2}  + b^{2}

9^{2} = 7^{2} + d^{2}

d^{2} = 9^{2} - 7^{2} \\d^{2} = 81 - 49\\d^{2} = 32\\d = \sqrt{32}\\

d ≈ 5.7km

There for aproximate distance across the lake is equal to 5.7km

7 0
3 years ago
Read 2 more answers
What is the equation of the line that is parallel to the line 5x + 2y = 12 and passes through the point (-2, 4)?
Aneli [31]

Answer: 5x + 2y = -2

Step-by-step explanation:

Change 5x+2y=12 to slope intercept: 2y = 12 - 5x, y = -5x/2 + 6

A parallel line has the same slope, so the line we try to find is y = -5x/2 + b.

Substitute (-2, 4) in and get 4=5+b, so b = -1.

Therefore the answer is y = -5x/2 - 1, or if you want it in the original form it would be 2y = -5x - 2 ---> 5x+2y = -2.

Hope that helped,

-sirswagger21

7 0
3 years ago
Find the slope of the line passing through these points: (5,2) and (-10,12)
Marat540 [252]

Answer:

-2/3

Step-by-step explanation:

The slope of a line is found by

m= (y2-y1)/(x2-x1)

   = (12-2)/(-10 -5)

   = 10/-15

    = -2/3

3 0
3 years ago
A company uses two vans to transportworkers from a free parking lot to theworkplace between 7:00 and 9:00 a.m.One van has 6 more
OverLord2011 [107]
X = small van capacity, y = larger van capacity
y = x + 6

2x + y = 57
now we sub in x + 6 for y
2x + x + 6 = 57
3x + 6 = 57
3x = 57 - 6
3x = 51
x = 51/3
x = 17

y = x + 6
y = 17 + 6
y = 23

small van (x) has 17 seats and large van (y) has 23 seats

3 0
3 years ago
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