The area of a triangle is 33.6 square inches. If the height of the triangle is 4 inches, what is the length of the base? In inches.

Answers

Answer 1

Answer: A = 1/2 bh
where: A = area
b = length of the base
h = height of the triangle

Using the given,
33.6 = 1/2 (b)(4) substitute the given values
33.6 = 2b simplify the right side; 1/2(4) = 2
16.8 = b divide both side by 2

Therefore, the length of the base is 16.8 inches.

Answer 2

Answer: Formula for the area of a triangle= 1/2(b*h)
area= 33.6
33.6*1/2= 16.8

So the length of the base is 16.8 inches

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explain how u can find the volume of composite figures that are made by combining rectangular prisms. tell me the answer plz!!

Answers

By taking the volume of individual prisms and taking the sum of the results.

Volume of composite shapes

Composites shapes are made of two or more figure joined or stacked together

The volume of the composite figures made by combining rectangular prisms is derived by taking the volume of individual prisms and taking the sum of the results.

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It's simple!

Because that a composite figure is made of other / combining rectangular prisms, you can find the composite figure's volume by finding the volumes of those combined rectangular prisms and adding them up.

Who knows the answer to this question?

Answers

Every function associates input values with output values. The domain of a function is the set of all the inputs the function accepts.

You will basically always find your function graphed with the inputs on the horizontal axis and the outputs on the vertical axis. This means that every point on the graph has coordinates $(x,f(x))$ , and the domain is the set of all the x values.

The points on your red line have all coordinates $(d,70)$ , where d starts from 0 and ranges up to 12. So, the domain of the function is $[0,12]$

Prove that sin(Π÷14)sin(3Π÷14)sin(5Π÷14)=2

Answers

Answer:

The correct prove will be:

$sin((\pi )/(14))sin((3\pi )/(14))sin((5\pi )/(14))$ $= (1)/(8)$

Step-by-step explanation:

$sin((\pi )/(14))sin((3\pi )/(14))sin((5\pi )/(14))$

Multiply and Divide by $2cos((\pi )/(14))$

= $(2sin((\pi )/(14))cos((\pi )/(14))sin((3\pi )/(14))sin((5\pi )/(14)))/(2cos((\pi )/(14)))$

⇒ Let $(\pi )/(14)$ = Ф and 7Ф = $(\pi )/(2)$

= sin2Ф sin3Ф sin5Ф ÷ 2cosФ

= 1/2(2sin2Фsin5Ф)sin3Ф ÷ 2cosФ

= (cos3Ф - cos7Ф) sin3Ф ÷ 4cosФ

= 1/2(2cos3Ф sin3Ф) ÷ 4cosФ ∵cos7Ф = 0

= sin6Ф ÷ 8cosФ

= sin(7Ф - Ф) ÷ 8cosФ

= (sin7ФcosФ - cos7ФsinФ) ÷ 8cosФ ∵sin7Ф = 1

= cosФ ÷ 8cosФ

= 1/8

Hence, The correct prove will be:

$sin((\pi )/(14))sin((3\pi )/(14))sin((5\pi )/(14))$ $= (1)/(8)$

Keywords: prove, sinФ, cosФ

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What is 345cm equal to

Answers

it is equal 3.77 yds

355cm = 3.77297 yards.
Is that what you want?

The volume of a right square pyramid is 300 cubic units. If the area of the base is 50 square units, what is the height of the pyramid? A. 6 units B. 10 units C. 15 units D. 18 units

Answers

Answer:

Step-by-step explanation:

Answer:

The answer is D:18

Step-by-step explanation:

I got it right

16x²-81=0 solve the following quadratic equation

Answers

$16x^2-81=0\n\n(4x)^2-9^2=0\n\n(4x-9)(4x+9)=0\iff4x-9=0\ \vee\ 4x+9=0\n\n4x=9\ \vee\ 4x=-9\n\nx=(9)/(4)\ \vee\ x=-(9)/(4)$

$or\n\n16x^2-81=0\n\n16x^2=81\ \ \ \ /:16\n\nx^2=(81)/(16)\n\nx=\pm\sqrt(81)/(16)\n\nx=-(√(81))/(√(16))\ \vee\ x=(√(81))/(√(16))\n\nx=-(9)/(4)\ \vee\ x=(9)/(4)$

16x^2-81=0
(4x-9)(4x+9)
x=9/4 or x=-9/4

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Find all values of k so that the trinomial x^2+kx-35 can be factored using integers.

7.8+3.5w-1.5 for w = 6.8

Help on $3.70÷2=no clue

You have 3 qt of paint to paint the trim in your house. A quart of paint covers 100 ft^2. The function A(q) = 100q represents the area A(q), in square feet, that q quarts of paint cover. What domain and range are reasonable for the function?