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3 years ago

2 Points

Mathematics

1 answer:

Jobisdone [24]3 years ago

3 0

The answer is a. $11 bc you divide the amount made by the hours worked

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Given: PRST is a square

xxTIMURxx [149]

Answer:

$(1-\sqrt{2})a^2$

Step-by-step explanation:

Consider irght triangle PRS. By the Pythagorean theorem,

$PS^2=PR^2+RS^2\\ \\PS^2=a^2+a^2\\ \\PS^2=2a^2\\ \\PS=\sqrt{2}a$

Thus,

$MS=PS-PM=\sqrt{2}a-a=(\sqrt{2}-1)a$

Consider isosceles triangle MSC. In this triangle

$MS=MC=(\sqrt{2}-1)a.$

The area of this triangle is

$A_{MSC}=\dfrac{1}{2}MS\cdot MC=\dfrac{1}{2}\cdot (\sqrt{2}-1)a\cdot (\sqrt{2}-1)a=\dfrac{(\sqrt{2}-1)^2a^2}{2}=\dfrac{(3-2\sqrt{2})a^2}{2}$

Consider right triangle PTS. The area of this triangle is

$A_{PTS}=\dfrac{1}{2}PT\cdot TS=\dfrac{1}{2}a\cdot a=\dfrac{a^2}{2}$

The area of the quadrilateral PMCT is the difference in area of triangles PTS and MSC:

$A_{PMCT}=\dfrac{(3-2\sqrt{2})a^2}{2}-\dfrac{a^2}{2}=\dfrac{(2-2\sqrt{2})a^2}{2}=(1-\sqrt{2})a^2$

5 0

3 years ago

What is 7.849+0.09? can you help me find the answer?

zmey [24]

Answer:7.939

Step-by-step explanation:

5 0

3 years ago

Estimate the product of 79.623 times 4.83

r-ruslan [8.4K]

It would be 384.58, or 384.57909

4 0

3 years ago

A restaurant has a sign by the front door that says, "Maximum occupancy: 75 people."

nikklg [1K]

Answer:

112%

Step-by-step explanation:

The percentage of its capacity is calculated as

Number of people / Maximum Occupancy × 100%

Number of people = 84 people

Maximum Occupancy = 75 people

Hence:

84 people /75 people × 100

= 1.12 × 100

= 112%

Therefore, the percentage of its capacity that is 84 people is 112 %

7 0

3 years ago

Cora is wrapping her sister's birthday present. She needs to cut a 47-centimeter piece of ribbon into 5 equal parts. How long wi

snow_lady [41]

Answer:

Step-by-step explanation:

If its fractions, you would do 5/47

8 0

3 years ago

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