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melamori03 [73]
3 years ago
10

HELP ME PLS explain why

Mathematics
1 answer:
Anika [276]3 years ago
3 0

Answer: 110 square cm

=======================================================

Explanation:

All sides of a regular polygon are the same length. So the bottom side is also 8 cm.

Draw lines from the center to each vertex of the pentagon. Five triangles form. Each triangle has a base of 8 and a height of 5.5 (since all five triangles are congruent)

area of one triangle = 0.5*base*height = 0.5*8*5.5 = 22

area of five triangles = 5*(area of one triangle) = 5*22 = 110

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find two positive even consecutive integers such that a square of the smaller integer is 10 more than the larger integer
nalin [4]

Answer:

the two positive consecutive integers are 4 and 6.

Step-by-step explanation:

Let the smaller integer be s; then s^2 = (s + 2) + 10.

Simplifying, s^2 - s - 2 - 10 = 0, or

s^2 - s - 12 = 0.

Solve this by factoring:  (s - 4)(s + 3) = 0.

Then s = 4 and s = -3.

If the first even integer is 4, the next is 6.  We omit s = -3 because it's not even.

The smaller integer is 4.  Does this satisfy the equation s^2 = (s + 2) + 10?

4^2 = (4 + 2) + 10  True or False?

16 = 6 + 10 = 16.

True.

So the two positive consecutive integers are 4 and 6.

6 0
3 years ago
Question 1 of 25
aleksklad [387]
SAS i believe :) sorry if im wrong!
8 0
3 years ago
How do you solve the equation y-3=-¼(x+3)
likoan [24]

Because you have two variables and only one equation, you can only solve for approximate answers, and not complete, absolute answers.

<h3><u>You can simplify this equation to x = -4y + 12</u></h3>

y - 3 = -1/4(x + 3)

Distributive property.

y - 3 = -1/4x - 3/4

Multiply all terms by 4.

4y - 12 = -x

Multiply all terms by -1

-4y + 12 = x

8 0
3 years ago
Please help I’m really struggling with this
JulijaS [17]

Answer:

y=\frac{1}{3} x+4

Step-by-step explanation:

A linear equation is written as y=mx+b, "m" being the slope and "b" being the y-intercept.

The slope is how many times you rise/run in order to get from one point on the line to the next. You rise (go up/down) 1 unit and run (go left/right) 3 units. Plug in the numbers and you get 1/3.

The y-intercept is where the graph lands on the y-axis, which is 4.

8 0
4 years ago
Read 2 more answers
Four times a number, minus 9, is equal to three times the number, plus 6
marshall27 [118]
4 x p - 9 = 3 x p + 6  
Hope it helped 
7 0
3 years ago
Read 2 more answers
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