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3 years ago

Trapezoid PSTK is isosceles. SK = 20, SH = 12, If ST = 1 4 HK, find HK, Area of PTSK, m∠P, and PS.

Mathematics

1 answer:

Agata [3.3K]3 years ago

7 0

Answer:

HK-16, Area- 50, m<p=45

Step-by-step explanation:

I don't know the last one but give me the brainliest.

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An 8-sided die is formed when two square pyramids are attached by their bases. The perimeter of the base shape is 6 centimeters.

lawyer [7]

Answer:

7.5cm²

Complete question:What is the surface area of the 8-sided figure?

Step-by-step explanation:

Consider the half of the 8-sided die i.e the pyramid ABCDE:

As the base is 6 of the perimeter, so each side of the base is 6/4=3/2

Now, the distance between the tallest points is 2 cm, so the height of Pyramid ABCDE is 1 cm.

Considering the right triangle EOM:

EO=1, OM= 3/4 (it is half of AB=3/2) and EM is the hypothenuse, so by the pythagorean theorem length of EM is

$\sqrt{1+ ( \frac{3}{4} )^{2} }= \sqrt{1+ \frac{9}{16} }= \sqrt{ \frac{25}{16} }= \frac{5}{4} (cm)$

5. So side EBC has area

$\frac{1}{2}BC*EM= \frac{1}{2}* \frac{3}{2}* \frac{5}{4}= \frac{15}{16}$

6. The total area is 8*Area(EBC)= $8* \frac{15}{16}= \frac{15}{2}=7.5 ( cm^{2} )$

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3 years ago

Solve each system by graphing

Ne4ueva [31]

2,-4 is you awnser. good day to you

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3 years ago

does anyone know where i can get all the answers to the Holt, Rineheart and Winston geometry text book?

Maru [420]

Answer:

page number?

Step-by-step explanation:

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3 years ago

Circle any equivalent ratios from the list below.

marysya [2.9K]

Answer:

Equivalent ratios: we can that the first ratio is equivalent to the second, then third ratio is equivalent to the forth.

Ratio: 1: 2 Value of the Ratio: 1/2

Ratio: 5: 10 Value of the Ratio: 1/2

Ratio: 6: 16 Value of the Ratio: 3/8

Ratio: 12: 32 Value of the Ratio: 3/8

We notice that if the values are equivalent the ratios are equivalent

Step-by-step explanation:

Equivalent ratios:

To get if ratios are equivalent we look for the constant between ratios

a.Ratio: 1: 2 and Ratio: 5: 10

We apply the method of comparing the first term of both ratios , and the second term of both ratios. We see the constant is 5 ( 1/5 is equal to 2/10)

We do the same with third and forth ratio

Ratio: 6: 16 compare to Ratio: 12: 32

6/12 is equal to 16/32 the constant is 2

<u>So, we can that the first ratio is equivalent to the second, then, third ratio is equivalent to the forth. </u>

Value of the Ratio: The value is a ratio written as a fraction.

Ratio: 1: 2 Value of the Ratio: 1/2

Ratio: 5: 10 Value of the Ratio: 5/10 if we divide both sides by 5, we can say Value of the Ratio: 1/2

Ratio: 6: 16 Value of the Ratio: 6/16 if we divide both sides by 2, we can say the value is 3/ 8

Ratio: 12: 32 Value of the Ratio: 12/32 if we divide both sides by 4, we can say the value is 3/ 8

<u>If the values are equivalent the ratios are equivalent.</u>

7 0

3 years ago

Read 2 more answers

Make R the subject of the formula , A equals to P( l+r/100)

Mrrafil [7]

Answer:

r = 100( $\frac{A}{P}$ - 1 )

Step-by-step explanation:

Given

A = P(1 + $\frac{r}{100}$ ) ← divide both sides by P

$\frac{A}{P}$ = 1 + $\frac{r}{100}$ ( subtract 1 from both sides )

$\frac{P}{A}$ - 1 = $\frac{r}{100}$ ( multiply both sides by 100 )

100 ( $\frac{P}{A}$ - 1) = r

7 0

4 years ago