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german
2 years ago
5

Simplify algebraically ​

Mathematics
1 answer:
Juliette [100K]2 years ago
6 0

Step-by-step explanation:

divide 48 by 12

when the bases are same and they are in the form of divide , their powers are subtracted

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Which equation is modeled below?
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Step-by-step explanation:

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3 years ago
A rectangle has side lengths of 1 3/4 feet and 2 1/3 feet. Find the perimeter of the rectangle. Write your answer as a mixed num
katovenus [111]

Answer:

8 feet

Step-by-step explanation:

Rectangles have congruent opposite side lengths. This means that if one of its longer sides were 2 1/3 feet and one of its shorter sides were 1 3/4 feet then the other longer side would also be 2 1/3 feet and the other shorter side would be 1 3/4 feet.

Therefore to find the perimeter, you would take the given side lengths and multiply them each by 2 to account for both of the congruent sides.

  • 2(2 1/3) + 2(1 3/4) = perimeter of rectangle

To multiply these fractions they would have to be converted into improper fractions. Multiply the whole number by the denominator and add the numerator---keeping the denominator the same in the converted form.

  • 2 1/3 ⇒ 7/3
  • 1 3/4 ⇒ 7/4

Now you can multiply these fractions by 2. Multiply the numerators by 2 and keep the denominator the same.

  • 2(7/3) + 2(7/4)
  • 14/3 + 14/4

To add them they should have common denominators so multiply 14/3 by 4/4 and 14/4 by 3/3.

  • 14/3 (4/4) = 56/12
  • 14/4 (3/3) = 42/12

Add 54/12 and 42/12 together by combining the numerators and keeping the denominators the same.

  • 54/12 + 42/12 = 96/12

You can simplify this improper fraction even more by dividing 96 by 12 since 12 is a factor of 96.

  • 96/12 = 8

The perimeter of the rectangle is 8 feet.

7 0
3 years ago
Read 2 more answers
According to the Americans with Disabilities Act, a ramp can rise no more than 1 ft for every 12 ft of horizontal distance. What
taurus [48]

Answer:

A. 4.8°

Step-by-step explanation:

We have that,

The horizontal distance for the ramp = 12 feet.

Maximum height of the ramp = 1 feet.

So, we get that the value of the angle 'x' made by the ramp with the ground is given by,

\tan x=\frac{perpendicular}{base}

i.e. \tan x=\frac{1}{12}

i.e. \tan x=0.0833

i.e. x=\arctan 0.0833

i.e. x = 4.8°

Thus, the maximum angle made by the ramp with the ground is 4.8°.

3 0
3 years ago
I will mark you brainliest for the correct answer<br><br>Please I need asap this is very important
LenKa [72]
For the first picture, the answer is the third option. for the second picture, the answer is the first option. hope this helps!
6 0
3 years ago
Find the value of the variables. If your answer is not an integer, leave it in simplest radical form.
stepladder [879]

We know that we can use trigonometry to solve for x here.

If we use tangent, we can solve for x directly:

tan(theta)=\frac{opposite}{adjacent}

tan(60)=\frac{x}{6}

6*tan(60)=x

x=6\sqrt{3}

So therefore we have solve for x, which is D) 6\sqrt{3}.

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