MATHEMATICS HIGH SCHOOL

I need help with 8-35 and 8-36

Answers

Answer 1

Answer:

Answer:

8 - 35

a. 350 unit²

b. 81.23 unit²

c. 41.57 unit²

8 - 36

Beth should buy 3 bags of fertilizer

Step-by-step explanation:

8 - 35

a. The figure consists of 9 isosceles triangles of side lengths 11 and vertex angle = 360/9 = 40°

Hence base angles = (180 - 40)/2 = 70°

Therefore, the base of the triangles = sin(40) × 11/sin(70) = 7.52

Hence area of figure = 9 × 0.5 × 7.52 × √(11² - (7.52/2)²) =349.99 ≈ 350 unit²

b. Area of a decagon

We note that the vertex angle = 36°

∴ Half the base = tan(18) × 5 = 1.62

Area = 10 × 1.62 × 5 = 81.23 unit²

c. The area of a hexagon = $s^2 * (3√(3) )/(2)$

s = 4 therefore, the area = $4^2 * (3√(3) )/(2) = 41.57 \, unit^2$

8 - 36

Area, A of a regular pentagon = $A = a^2 * (1)/(4) \sqrt{5(5 + 2√(5) )}$

a = 15 ft., therefore, A = $15^2 * (1)/(4) \sqrt{5(5 + 2√(5) )}$ = 387.11 ft.²

Therefore, since a bag of fertilizer can fertilize 150 ft.², the number of bags of fertilizer that will fertilize 387.11 ft.² will be 387.11/150 = 2.58 bags

Therefore, since 2 bags of fertilizers will not be enough, Beth should buy 3 bags of fertilizer.

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a carpenter buys $54.38 worth of parts from the supplier. If he pays for the parts with a $100 bill, how much change will he recieve?

Answers

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11. |-8| + |6| =
12. |-3| +8 =
13.12 + |-13| =
14.6 + |4||
15. -14-16| =

Answers

Answer: ( -8)+(6)= 14

(-3)+8 = 11

12+(-13) = 25

-14-16= -30

6+(41) =47

2 times the sum of a number and 8 is equal to the difference of 10 and that number find the number

Answers

The equation would look like this
2 (x + 8) = 10 - x
First you distribute: 2x +16 = 10 - x
Next you isolate the variable by adding x to each side and subtracting 16 from each side: 3x = 10 - 16
Simplify: 3x = -6
Divide both sides by 3: x = -2

9, 15, 1, 19, 4,6Median

what’s the median?? or how do you find out the median so i can learn.

Answers

Answer:

is 7.5 hope i help

Step-by-step explanation:

u put them in order from least to greatest

1 , 4, 6, 9, 15, 19

then take out one number from each side after that u are left with 6 and 9 and whats in the middle of does two numbers ? well u just estimate and it might be 7.5

Does anyone know the answer to this. m =1, (-4, -6)

Answers

Hello,

y+6=(x+4)==>y=x-2
================

A rectangular garden is 6 feet longer than its wide. The perimeter of it is 52 feet. What equation can be used to find the width?

Answers

Answer:

Hi there!

Your answer is;

the equation

(w+6)+(w+6)+(w)+(w) = 52

The width of this rectangle is 10. The length of this rectangle is 16.

Step-by-step explanation:

Rectangular perimeter:

l+l+w+w

l= w+6

w= w

(w+6)+(w+6)+(w)+(w)

4w+12= 52

4w = 40

w= 10

Hopethis helps!

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