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Gnesinka [82]
3 years ago
14

Mariko has a bedroom wall that is shaped like a trapezoid with a height of 8 ft, a top base of 10 ft, and a bottom base of 13 ft

. In the middle of this wall is a circular window whose radius is 2 ft.What is the area of the wall without the window?
Mathematics
1 answer:
miss Akunina [59]3 years ago
7 0
The area of the trapezoid is
A = 1/2 (8)(10 + 13) minus the area of the Circe A = pi(2)^2. This means the area of the wall without the window is 92 - 4pi ft^2
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You toss a fair coin 4 times. What is the probability that:
Masteriza [31]

Answer:

a. 1/16 which is 6.2500%

b. 15/16 which is 93.7500%

Step-by-step explanation:

a. For each 'coin toss' the probability of getting tails is 1/2. If you toss the coin 4 times, the probability of getting tails all times is 1/2 * 1/2 * 1/2 * 1/2 = 1/16.

b. This one is a bit trickier.

When flipping four coins, you either could get all four heads or you could get at least one tail. Both events cannot happen at the same time. This means the two events are complementary.

Complementary events occur when there are only two outcomes, for example passing an exam or passing an exam. The complement means the exact opposite of an event.

Complementary probabilities always add to 1.

We saw in part (a) that the probability you get all tails is 6.25% or 1/16.

0.0625 was the probability of getting all four heads, so 0.9375 ​is the probability of anything else (getting one or more tails).  

The decimal 0.9375 converts to the fraction 15/16.

The probability is 93.75%.

6 0
3 years ago
One of the same side angles of two parallel lines is 20° smaller than the other one. Find all angles.
marta [7]
Call the smaller angle as x, we have
x + (x + 20) = 180 \\ 2x + 20 = 180 \\ x = 80
so the smaller angle is 80° degree and the bigger one would be 100°
5 0
3 years ago
Jayden kept track of the number of hours that she spent
aleksley [76]
The answer is 20 because you add all the numbers
4 0
3 years ago
Read 2 more answers
HURRY ASAP!!!
9966 [12]
The answer you’re looking for is 5.00 :)
6 0
3 years ago
simplify 1/6 divided by 5/9 (Write final answers in lowest terms and mixed numbers, if necessary.) and please explain
Mkey [24]

Answer:

\frac{3}{10}

Step-by-step explanation:

to divide 2 fractions follow the procedure

• Leave the first fraction

• Change division to multiplication

• Turn the second fraction upside down

• Simplify by cancelling common factors, if possible

\frac{1}{6} ÷ \frac{5}{9}

= \frac{1}{6} × \frac{9}{5} (cancel 6 and 9 by 3 )

= \frac{1}{2} × \frac{3}{5}

=\frac{1(3)}{2(5)}

= \frac{3}{10} ← in simplest form

The fraction is in simplest form when no factor apart from 1 divides into the numerator/ denominator




4 0
3 years ago
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