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3 years ago

What is the value of the expression(25 - 7) X 2 + 4 + 2?

Mathematics

2 answers:

MissTica3 years ago

4 0

Answer:42

Step-by-step explanation:

Mnenie [13.5K]3 years ago

4 0

Answer: 42.

Step-by-step explanation:

First, you identify what method you need to use for solving this problem. I used Pemdas. Pemdas is the steps to take for most equations. Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction.

You do the parenthesis part of the equation first. 25-7= 18.

Next, following the order of Pemdas, you multiply the answer you just got from the parenthesis by 2. 18x2= 36.

Then, you add 4 to the answer to the last step. 36+4= 40.

Lastly, you add 2 to the answer from the last step. 40+2= 42.

I hope this benefits you. Good luck!

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Step-by-step explanation:

The circumference of a circle with radius $r$ is given by $C=2\pi r$ . The length of an arc is makes up part of this circumference, and is directly proportion to the central angle of the arc. Since there are 360 degrees in a circle, the length of an arc with central angle $\theta^{\circ}$ is equal to $2\pi r\cdot \frac{\theta}{360}$ .

Formulas at a glance:

Circumference of a circle with radius $r$ : $C=2\pi r$
Length of an arc with central angle $\theta^{\circ}$ : $\ell_{arc}=2\pi r\cdot \frac{\theta}{360}$

<u>Question 1:</u>

The radius of the circle is 12 m. Therefore, the circumference is:

$C=2\pi r,\\C=2(\pi)(12)=\boxed{24\pi\text{ m}}$

The measure of the central angle of the bolded arc is 270 degrees. Therefore, the measure of the bolded arc is equal to:

$\ell_{arc}=24\pi \cdot \frac{270}{360},\\\\\ell_{arc}=24\pi \cdot \frac{3}{4},\\\\\ell_{arc}=\boxed{18\pi\text{ m}}$

<u>Question 2:</u>

In the circle shown, the radius is marked as 2 miles. Substituting $r=2$ into our circumference formula, we get:

$C=2(\pi)(2),\\C=\boxed{4\pi\text{ mi}}$

The measure of the central angle of the bolded arc is 135 degrees. Its length must then be:

$\ell_{arc}=4\pi \cdot \frac{135}{360},\\\ell_{arc}=1.5\pi=\boxed{\frac{3\pi}{2}\text{ mi}}$

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3 years ago

What is the value of the expression(25 - 7) X 2 + 4 + 2?​

What is the value of the expression(25 - 7) X 2 + 4 + 2?