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mr_godi [17]
2 years ago
15

Find the least common multiple of 25, 10, and 30.

Mathematics
1 answer:
elena-s [515]2 years ago
8 0

The least common multiple of 10, 25 and 30 is 150.

Hope this helps ! :)

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Given right triangle ABC with altitude BD drawn to hypotenuse AC. If AC =16 and DC=5 what is the length of BC in the simplest ra
Nana76 [90]

The length of BC is 4 \sqrt{5}.

Solution:

Given ABC is a right triangle.

AC is the hypotenuse and BD is the altitude.

AB and BC are legs of the triangle ABC.

AC = 16 and DC = 5

<u>Leg rule of geometric mean theorem:</u>

$\frac{\text { hypotenuse }}{\text { leg }}=\frac{\text { leg }}{\text { part }}$

$\Rightarrow \frac{AC}{BC}=\frac{BC}{DC}$

$\Rightarrow \frac{16}{x}=\frac{x}{5}$

Do cross multiplication.

\Rightarrow  16\times 5 = x\times x

\Rightarrow  80= x^2

\Rightarrow  16\times 5= x^2

Taking square root on both sides.

\Rightarrow  \sqrt{16\times 5} = \sqrt{x^2}

\Rightarrow  \sqrt{4^2\times 5} = \sqrt{x^2}

square and square roots get canceled, we get

\Rightarrow  4\sqrt{ 5} = x

The length of BC is 4 \sqrt{5}.

7 0
3 years ago
Of the choices below, what is the best estimate of the speed of the milk van?
galben [10]

Answer:

A. 77 kilometers per hour

Step-by-step explanation:

Speeds of vehicles are normally calculated in kilometers per hour, meters per hour is too small the measurement and millimeters is even smaller.

7 0
3 years ago
The hollow sphere has a diameter of 6 cm. Which expressions represent the volume of the shaded composite figure? Check all that
nikklg [1K]

It’s A, C and D. Idk about explanations

6 0
3 years ago
Read 2 more answers
10 x 3 tens in standard form?
Lubov Fominskaja [6]
10 x 30=300 because you 3 tens is 30 times 10 is 300. hope it helped.
6 0
3 years ago
Determine the maximum number of zeros of the polynomial function -8x^4-x^2+2 a. 1 c. 3 b. 4 d. 2 Please select the best answer f
alexgriva [62]
Generally speaking, the number of solutions to an algebraic equation is equal to the exponent of the highest power.  so the answer is b.4


6 0
3 years ago
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