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2 years ago

( 2x + 1°) + ( x - 10°) = 90° Does the equation make sense why or why not ???

Mathematics

1 answer:

Mila [183]2 years ago

5 0

$(2x+1)+(x-10)=90\\\\(2x+x)+(1-10)=90\\\\3x-9=90\ \ \ |+9\\\\3x=99\ \ \ |:3\\\\x=33^o$

Yes. The equation make sense. It's has the solution.

$x=33^o\\\\2x+1=2(33)+1=67^o\\\\x-10=33-10=23^o$

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Mario is constructing a square dart board. It will consist of a smaller square centered in a larger square. The smaller square m

Ivan

Answer:

6 inches.

Step-by-step explanation:

Let a represent side length of larger square.

We know that area of square is square of its side length, so area of the larger square will be $a^2$ .

The area of smaller square would be $4^2$ .

We will use proportions to solve our given problem.

$\frac{\text{Area of smaller square}}{\text{Area of larger square}}=\frac{4}{9}$

$\frac{4^2}{a^2}=\frac{4}{9}$

$\frac{16}{a^2}=\frac{4}{9}$

Cross multiply:

$4*a^2=16*9$

$\frac{4*a^2}{4}=\frac{16*9}{4}$

$a^2=36$

Take square root:

$a=\pm\sqrt{36}$

$a=\pm 6$

Since the length cannot be negative, therefore, the side length of larger square is 6 inches.

8 0

2 years ago

Writing equation of the line that passes through the given points (16, -4) ; m= -3/4

makvit [3.9K]

Answer:

y = -3/4 - 12

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

What's the steps used to solve modeling problems in the correct order

Stolb23 [73]

Answer:

see below

Step-by-step explanation:

The first step is to read the problem

Then you need to make a plan

Implement the plan

Then evaluate the answer to see if it makes sense

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2 years ago

How many quart are 8/1/4 gallons

Westkost [7]

Given:

Consider the given gallons are $8\dfrac{1}{4}$ gallons.

To find:

The number of quarts in $8\dfrac{1}{4}$ gallons.

Solution:

We know that,

1 gallons = 4 quarts

Using this conversion, we get

$8\dfrac{1}{4}\text{ gallons}=4\times 8\dfrac{1}{4}\text{ quarts}$

$8\dfrac{1}{4}\text{ gallons}=4\times \dfrac{32+1}{4}\text{ quarts}$

$8\dfrac{1}{4}\text{ gallons}=4\times \dfrac{33}{4}\text{ quarts}$

$8\dfrac{1}{4}\text{ gallons}=33\text{ quarts}$

Therefore, there are 33 quarts in $8\dfrac{1}{4}$ gallons.

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2 years ago

What is the meaning of the unknown factor and quotient

Komok [63]

I don't know what you mean by unknown factor but a quotient is the answer of a division problem

7 0

3 years ago