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sergey [27]
3 years ago
12

Simplify the expression. 7(3x + 5y) + 4y

Mathematics
1 answer:
Butoxors [25]3 years ago
5 0
=21x + 35y + 4y
= 21x + 39y
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In a park,a sidewalk is built around the edge of a circular pond.The sidewalk is 7 feet wide,and the pond measure 15 feet across
densk [106]

Answer:

91.14 feet

Step-by-step explanation:

Given:

In a park,a sidewalk is built around the edge of a circular pond.

The sidewalk is 7 feet wide, and the pond measure 15 feet across.

Question asked:

What amount of railing would be needed to go completely around the outer edge of the sidewalk?

Solution:

From distance from one edge of the pond to the another =  15 feet

That means diameter of the pond = 15 feet

And width of the sidewalk = 7 feet all around

combined diameter = 15 + 7 + 7 = 29 feet

Radius,r = \frac{Diameter}{2} =\frac{29}{2} ==14.5\ feet

That means distance between outer edge of the sidewalk to the center of the circular pond = 14.5 feet

Now, we will have to find circumference of outer circular edge of sidewalk:

Circumference\ of\ circle=2\pi r

                                        =2\times\frac{22}{7} \times14.5\\ \\ =\frac{638}{7} \\ \\ =91.14\ feet

Therefore, 91.14 feet would be needed to go around the outer edge of the sidewalk.

7 0
3 years ago
What is the area of this figure? <br>​
polet [3.4K]
First, calculate the area of the square, which is 25

next, find the area of one half of the triangle by multiplying 2.5 and 4 (10), then dividing that by 2 (5).

since the two half’s of the triangle are symmetrical, just add 5 and 5 to get 10.

add the area of the triangle (10) and the square (25) to get the total area.

the answer should be 35

hope this helps!
4 0
2 years ago
Pls help me solve it!
vekshin1

Answer:

A= 40°

B= 35°

C= 15°

Step-by-step explanation:

Since it says if the triangles were accurately drawn, then A would be the same  degree as Q. C would be the same degree as P. B would be the same degree as R. Since R's degree is missing I knew that a obtuse triangle was 90°. I added 40+15 and got 55. Then i subtracted 90-55 and got 35. So the unknown value would be 35°.

I hope this helps.

3 0
3 years ago
What is the equation in slope intercept form for (2,5) (3,12)
kondaur [170]

Slope formula: y2-y1/x2-x1

= 12-5/3-2

= 7/1

= 7

_____

Best Regards,

Wolfyy :)

7 0
3 years ago
Definition of Segment Bisector?
kotegsom [21]

A line that passes through an angle and splits it into two equal adjacent angles

4 0
3 years ago
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