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Novay_Z [31]
2 years ago
9

Given trapezoid KLMN with midsegment EF, where KL = 4 and MN = 7, what is the length of EF?​

Mathematics
1 answer:
TEA [102]2 years ago
3 0

Answer:

EF= 5.5

Step-by-step explanation:

7 + 4 = 11

11 divided by 2 = 5.5

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I will give brainliest answer
sineoko [7]

Answer:

≈ 93.06 cm²

Step-by-step explanation:

Subtract the area of the rectangle from the area of the circle

area of circle = πr² = π × 8² = 64π cm²

area of rectangle = 12 × 8 = 108 cm²

Thus

shaded area = 64π - 108 = 201.062 - 108 ≈ 93.05 cm² ( nearest hundredth )

7 0
2 years ago
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Sue is upholstering a rectangular ottoman that measures 21 centimeters by 18 centimeters by 15 centimeters. What will be the tot
Anika [276]

Answer:

1926cm²

Step-by-step explanation:

Given

Dimension = 21cm by 18cn by 15cm

<em>The illustration in this question is to determine the surface area of the fabric and this is calculated using the surface area of a cuboid as follows:</em>

<em></em>

Surface\ Area =2(LB + LH + BH)

Where L, B and H are the dimensions.

So,

Surface\ Area = 2(21 * 18 + 21 * 15 + 18 * 15)

Surface\ Area = 2(378 + 315 + 270)

Surface\ Area = 2(963)

Surface\ Area = 2 * 963

Surface\ Area = 1926cm\²

<em>Hence, 1926 cm² of fabrics are needed to cover all surfaces.</em>

6 0
3 years ago
Which of the following expressions represents the least common multiple of 15, 18, and 25?
Virty [35]

Answer:

(2)(3^2)(5^2)

Step-by-step explanation:

we know that

The <u>Least Common Multiple</u> (LCM) of a group of numbers is the smallest number that is a multiple of all the numbers.

we have

15,18 and 25

Decompose the numbers in prime factors

15=(3)(5)

18=(2)(3^2)

25=(5^2)

Multiply common and uncommon numbers with their greatest exponent

so

The LCM is equal to

LCM=(2)(3^2)(5^2)

LCM=450

7 0
3 years ago
If 10% of men are bald, what is the probability that fewer than 100 in a random sample of 818 men are bald? (Answers must be in
Greeley [361]

Answer: the probability that fewer than 100 in a random sample of 818 men are bald is 0.9830

Step-by-step explanation:

Given that;

p = 10% = 0.1

so let q = 1 - p = 1 - 0.1 = 0.9

n = 818

μ = np = 818 × 0.1 = 81.8

α = √(npq) = √( 818 × 0.1 × 0.9 ) = √73.62 = 8.58

Now to find P( x < 100)

we say;

Z = (X-μ / α) = ((100-81.8) / 8.58) = 18.2 / 8.58 = 2.12

P(x<100) = P(z < 2.12)

from z-score table

P(z < 2.12) = 0.9830

Therefore the probability that fewer than 100 in a random sample of 818 men are bald is 0.9830

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3 years ago
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harina [27]

Answer:

Percent means per- amount

And the second one is dividing.

Step-by-step explanation:

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3 years ago
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