Question 1 (1 point)
A decorator is wallpapering a wall with a circular window of diameter 1.00 m.What is the
area of the wall in square feet? (1 m - 3.2808 feet)
3

Answer:

95.875 [tex]ft^{2}[/tex]

Step-by-step explanation:

1.) Calculate the area of the trapezoid

A(trapezoid) = (1/2)*(base1 + base2)*h = (1/2)*(2.6+3.6)*3 = (1/2)*6.2*3 = 9.3

2.) Calculate the area of the circle

radius = (1/2)*(diameter) = (1/2)*1 = 0.5

A(circle) = (1/2)*[tex]\pi[/tex]*[tex]r^{2}[/tex] = (1/2)*[tex]\pi[/tex]*([tex]0.5^{2}[/tex]) = (1/2)*[tex]\pi[/tex]*0.25 = 0.125*[tex]\pi[/tex] = 0.392699

3.) Because the area of the circle is not included in the wall, subtract the area of the circle from the area of the trapezoid:

A(trapezoid)-A(circle) = 9.3-0.392699 = 8.9073 [tex]m^{2}[/tex]

4.) Convert to [tex]ft^{2}[/tex]:

Because 3.2808 feet are in a meter and the unit of the answer is in [tex]m^{2}[/tex], we need to multiply the answer by ([tex]3.2808^{2}[/tex]) to get to [tex]ft^{2}[/tex].

8.9073*([tex]3.2808^{2}[/tex]) = 8.9073*10.7636 = 95.875 [tex]ft^{2}[/tex]

A trapezoid was broken into a rectangle and a triangle. What is the length, b, of the base of the triangle?
O 2 cm
O 4 cm
O 6 cm
O 8 cm​

In ΔSTU, the measure of ∠U=90°, UT = 12, SU = 35, and TS = 37. What ratio represents the secant of ∠T?

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O 38.3 yd
O 30 yd
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Darius wants to buy a new car. The car he chooses has a total purchase price of $18,500. Darius uses a multi-offer website to apply for a car loan. He receives three offers with minimum payments he can afford. The terms for each loan are shown in the table.

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A. Darius should choose loan option B because it has the shortest loan term.

B. Darius should not choose loan option B because he will pay $398.52 more in interest than on loan option C.

C. Darius should choose loan option B because he will pay $280.44 less in interest than on loan option A.

D. Darius should not choose loan option B because it does not have the lowest interest rate.

Help me please it’s due today

When a coin is flipped 20 times and lands heads up 11 times, what is the
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A. 3 ≤ y < ∞
B. -∞ < y ≤ 3
C. -6 ≤ y < ∞
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ANSWER NO LINKS!!!! OKAY

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2. Describe a rigid motion or composition of rigid motions that maps the rectangular bench at (0, 10)and

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Let f be a function having derivatives of all orders for allreal numbers. The third-degree Taylor polynomial for f about x=2 isgiven by


T(x) = 7-9(x-2)2-3(x-2)3


a. find f(2) and f '' (2).


b. Is there enough information given to determine wheather fhas a critical point at x = 2?


If not, explain why not.


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c. Use T(x) to find an approximation for f(0). Is there enoughinformation given to determine whether f has a critical point atx=0?


If not, explain why not.


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six and fifty-three hundredths as a decimal-


Yes, I'm D-U-M-B!

Simplify 7 - 2(5 - 2x)

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Which solution for z makes the equation true?? 10+10+z=40=10 (pls explain why. Thanks)

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13=X/4

A. 13/4

B. 4/13

C. 52

D. 9