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2 years ago

Help solving this Math problem

Mathematics

2 answers:

Nesterboy [21]2 years ago

7 0

The upper answer is correct...

Paha777 [63]2 years ago

3 0

1. Formula for volume of a cone is: V = PI * r * h/3

Volume = PI * 1 * 5/3 = 5.24 cubic inches.

2. Formula for volume of a sphere is: V = 4/3 * PI * r^3

Volume = 4/3 * PI * 1^3 = 4.19 cubic inches.

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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

Write an expression with two terms. One term should have a coefficient with a variable and the other term should be a constant.

soldier1979 [14.2K]

Answer:

See Explanation

Step-by-step explanation:

Let us briefly explain the terms

Variable: This is the letter in the expression
Coefficient: This is the number beside the letter above
Constant: This is a number without any variable attached.

Let us take our expression with two terms to be: 3x+5

Coefficient =3

Variable =x

Constant =5

The word phrase of the expression is:

5 added to the product of 3 and a number.

3 0

3 years ago

25+12 1/2 + 61/4+31/8+19/16+25/32=

Len [333]

Make them all have the same denominator
32

25+12 16/32+488/32+124/32+38/32+25/32

Add all of the numerators... to get 691/32+1184/32
1875/32
Simplify to get 58 19/32

4 0

3 years ago

What is the value of y?

Schach [20]

The total angles of a triangle must add up to 180 degrees, so y = 64 degrees

6 0

3 years ago

What is the volume of the triangular prism

mestny [16]

Answer:

308 cm³

Step-by-step explanation:

<u>The volume is:</u>

V = Bl = 1/2(ah)l
V = 1/2(7*8)*11 = 308 cm³

3 0

3 years ago

Read 2 more answers