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3 years ago

Distributive property

Mathematics

2 answers:

GuDViN [60]3 years ago

6 0

Answer:

Distributive property is to divide because the meaning of "distribute" is to divide something or part of something.

Example: 3(4+8) = 36

You have to add the numbers first before multiplying since there are parenthesis. Usually, in the distributive property you will always see parenthesis.

Rainbow [258]3 years ago

4 0

Answer: To “distribute” means to divide something or give a share or part of something. According to the distributive property, multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.

example: 3. 3(10 + 2) = 3(12) = 36

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Prove that tan 10+tan 70'+taniou = tanio tanfo'tam 1oo.

Galina-37 [17]

Question:

Prove that:

$tan(10) + tan(70) + tan(100) = tan(10). tan(70). tan(100)$

Answer:

Proved

Step-by-step explanation:

Given

$tan(10) + tan(70) + tan(100) = tan(10). tan(70). tan(100)$

Required

Prove

$tan(10) + tan(70) + tan(100) = tan(10). tan(70). tan(100)$

Subtract tan(10) from both sides

$- tan(10)+tan(10) + tan(70) + tan(100) = tan(10). tan(70). tan(100) - tan(10)$

$tan(70) + tan(100) = tan(10). tan(70). tan(100) - tan(10)$

Factorize the right hand size

$tan(70) + tan(100) = -tan(10)(-tan(70). tan(100) + 1)$

Rewrite as:

$tan(70) + tan(100) = -tan(10)(1-tan(70). tan(100))$

Divide both sides by $1-tan(70). tan(100)$

$\frac{tan(70) + tan(100)}{1-tan(70). tan(100)} = \frac{-tan(10)(1-tan(70). tan(100))}{1-tan(70). tan(100))}$

$\frac{tan(70) + tan(100)}{1-tan(70). tan(100)} = -tan(10)$

In trigonometry:

$tan(A + B) = \frac{tan(A) + tan(B)}{1 - tan(A)tan(B)}$

So:

$\frac{tan(70) + tan(100)}{1 - tan(70)tan(100)}$ can be expressed as: $tan(70 + 100)$

$\frac{tan(70) + tan(100)}{1-tan(70). tan(100)} = -tan(10)$ gives

$tan(70 + 100) = -tan(10)$

$tan(170) = -tan(10)$

In trigonometry:

$tan(180 - \theta) = -tan(\theta)$

So:

$tan(180 - 10) = -tan(10)$

Because RHS = LHS

Then:

$tan(10) + tan(70) + tan(100) = tan(10). tan(70). tan(100)$ has been proven

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3 years ago

Graph the function y = √ x + 4 – 2. Then state the domain and range of the function.

Nikolay [14]

Here!! I hope this helps you !!

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4 years ago

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What is the length of the red line segment on the number line?

uranmaximum [27]

8
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3 years ago

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If y varies directly as x, and y is 18 when x is 5, which expression can be used to find the value of y when x is 11? y = StartF

Natalka [10]

Answer: (18/5) * 11

Step-by-step explanation:

In equations of proportion, to proceed, we need to determine the constant of proportion, let's denote as "k"

Since y ~ x

Means y=kx.

To determine the value of k, we input initial values of y and x.

Initial value of y = 18

Initial value of x = 5

The equation becomes :

18 = 5k

k = 18/5.

Now, If given the value of x as 11,to determine the value of y we go back to the equation.

y= kx

y = 18/5 * 11.

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3 years ago

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What is the volume of a hemisphere with a radius of 48 m, rounded to the nearest tenth of a cubic meter

Thepotemich [5.8K]

Answer:

The volume of the hemisphere is approximately 231,623.3 m³

Step-by-step explanation:

The radius of the hemisphere in the question, r = 48 m

A hemisphere is obtained by sharing a sphere into two halves

The radius of the hemisphere = The radius of the sphere which describes it

∴ The volume of a hemisphere = The volume of a sphere ÷ 2

The volume of a sphere = (4/3)·π·r³

∴ The volume of a hemisphere = (4/3)·π·r³ ÷ 2 = (2/3)·π·r³

∴ The volume of the given hemisphere with 48 m radius, V = (2/3) × π × 48³

∴ V = (2/3) × π × (48 m)³ = 231,623.343164 m³

When the measure of the volume of the hemisphere is rounded to the nearest tenth, we have, V ≈ 231,623.3 m³.

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