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3 years ago

If x = 5 and y = 7, evaluate the following expression: 100 – 3(3y - 4x)

Mathematics

2 answers:

shtirl [24]3 years ago

7 0

100 - 3(3 x 7 - 4 x 5)

Simplify

97(21 - 20)

Simplify

97(1)

Now, multiply.

97 x 1 = 97

So the answer to the equation above, is 97.

zheka24 [161]3 years ago

7 0

Answer:

this is your answer. If I'm right so.

Please mark me as brainliest. thanks!!

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How do I solve a given right triangle to find Cos, Sin, and Tan. How do I solve for a missing adjacent side? (For Example: Imagi

Sphinxa [80]

The steps to find cos, sin, and tan and missing adjacent side of a given right angle triangle is explained.

<u>Solution:</u>

Given, a right triangle with A, B, and C.

Opposite side = 70 inches

Hypotenuse = 12 feet = 12 $\times$ 12 inches = 144 inches

Adjacent side = "x" inches.

We are not given angle, so we have to use the hypotenuse theorem

Hypotenuse theorem means square of the length of the hypotenuse is equal to the sum of squares of the lengths of other two sides of the right-angled triangle.

$\text { hypotenuse }^{2}=(\text { opposite side })^{2}+(\text { adjacent side })^{2}$

Substituting the values we get,

$\begin{array}{l}{\rightarrow 144^{2}=70^{2}+x^{2}} \\\\ {\rightarrow x^{2}=20736-4900} \\\\ {\rightarrow x^{2}=15836} \\\\ {\rightarrow x=\sqrt{15836}} \\\\ {\rightarrow x=125.841}\end{array}$

So, the adjacent side value is 125.8 inches approximately.

Hence the steps to find adjacent side is shown above

Now let us find cos, sin and tan

$\begin{aligned} \sin \theta &=\frac{\text {opposite side}}{\text {hypotenuse}} \\\\ \cos \theta &=\frac{\text {adjacent side}}{\text {hypotenuse}} \\\\ \tan \theta &=\frac{\text {opposite side}}{\text {adjacent side}} \end{aligned}$

By substituting the required values, we can find cos, sin and tan

$\begin{array}{l}{\sin \theta=\frac{70}{144}=\frac{35}{122}} \\\\ {\cos \theta=\frac{125.8}{144}=\frac{62.9}{122}} \\\\ {\tan \theta=\frac{70}{125.8}=\frac{35}{62.9}}\end{array}$

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3 years ago

Compare the function with the parent function. Without graphing, what are the vertex, axis of symmetry, and transformations of t

Alborosie

Answer:

The parent function is: y = x

First, here we have two types of transformations, and we could define them in a general way as:

if we start with a function f(x)

Vertical dilation/contraction: A vertical dilation/contraction of scale factor A (A is always positive) is written as:

g(x) = A*f(x)

Vertical translation:

We can write a vertical translation of A units upwards as:

g(x) = f(x) + A

And a vertical translations of A units down can be written as:

g(x) = f(x) - A.

In this case, the transformations are:

first, a dilation of scale factor 8.

Then a translation down of 21 units

then another translation down of 7 units.

y = 8*X - 21 - 7

y = 8*x - 28.

As this is a linear equation, there are no axis of symmetry, we only could have a line of symmetry along the same line y = 8*x - 28

Again, as this function is a linear equation there is no vertex.

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Kevin sold a house and receives a 6 1/2% commission he gave the listing broker 30% or 3,575 what was the price of the house

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Answer:

12 just because I need the free credit things sorry this ain't gonna be helpful lol

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2 years ago

Which factors of 18 are also factors of 36?

USPshnik [31]

Answer:

Step-by-step explanation:

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Zina [86]

Answer:

b = 32

b = -50

Step-by-step explanation:

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3 years ago