1 year ago

How many ways can you select a committee of 4 students out of 10 students?

Mathematics

1 answer:

Aleks04 [339]1 year ago

3 0

$\binom{10}{4}=\frac{10!}{6!4!}=\frac{10(9)(8)(7)}{24}=10(3)(7)=\boxed{210}$

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Sharma is building a shed and wants to determine the measurements for the roof. The span of the roof will be 10 feet and she pla

Stolb23 [73]

Answer:

In the figure below :

d = 2.08, e = 5, c = 5.42 , a = 22.78°, b = 67.22°

Step-by-step explanation:

Side lengths :

$2\cdot e=10\\ \Rightarrow e=5 feet\\\frac{d}{e}=\frac{5}{12}\\\Rightarrow d=\frac{25}{12}\approx 2.08 feet$

By pythagoras theorem,

$c^2=d^2+e^2\\c^2=29.33\\c\approx 5.42 feet$

Now to find angles,

$a+b+90^{\circ}=180^{\circ}\\\Rightarrow a+b=90^{\circ}\\\tan a=\frac{d}{e}\\\Rightarrow \tan a =0.42\\\Rightarrow a=22.78^{\circ}\\\Rightarrow b=67.22^{\circ}$

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3 years ago

The scale factor of the dilation of figure ABCD is

almond37 [142]

D' = (-2, 0) = 2*(-1, 0) = 2*D

The scale factor is 2.

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3 years ago

What is the next three-term of the geometric sequence? 60, 30, 15...?

Vesna [10]

Answer:

7.5

Step-by-step explanation:

it is feometeic progression

r=0.5

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2 years ago

329,444,000,777,234 in words

maxonik [38]

Step-by-step explanation:

Three hundred and twenty nine trillion four hundred and fourty four billion seven hundred and seventy seven thousand two hundred and thrity four

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3 years ago

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Amanda [17]

Answer:

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Step-by-step explanation:

To do so, just add the two polynomials together as such:

11x^2 +0x-5 plus

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3 years ago

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