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Murrr4er [49]
4 years ago
15

2/3 - 1/2 simplist form Math

Mathematics
1 answer:
OverLord2011 [107]4 years ago
7 0

Answer:

1/6 in fraction or 0.166 in decimal

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The length of the base of an isosceles triangle is x. The length of a leg is 3x−7. The perimeter of the triangle is 77. Find x.
irinina [24]
Answer: x=13


Step 1: Define isosceles triangle

In an isosceles triangle, two sides and angles are equal. The equal sides will be the legs.

Step 2: Write an equation

To write an equation we must first consider the information discussed in step 1. Since we know that the legs will be equal, we will add that to the equation twice. The base and legs will be on one side of the equation, and the perimeter will be on the other. Now we can write the equation!

x+3x-7+3x-7=77

Step 3: Combine like terms

Like terms are terms that share the same variable, or lack of. Let’s add/subtract these now.

x+3x-7+3x-7=77
7x-14=77

Step 4: Solve for x

Let’s do the last part of the equation and solve for x, our final answer.

*Rewrite equation*
7x-14=77
*Add 14 to both sides*
7x=91
*Divide 7 on both sides*
x=13

This is your answer. Hope this helps! Comment below for more questions.
8 0
3 years ago
A rectangular bedroom is 4 ft longer than it is wide. Its area is 252 ft2. What is the width of the room?
Ksenya-84 [330]

Answer:

14 ft

Step-by-step explanation:

Given:

  • Bedroom is 4 ft longer than it is wide.
  • Area is 252 ft².

Let x = width of the bedroom:

  • width = x ft
  • length = (x + 4) ft

Therefore:

\begin{aligned}\textsf{Area of a rectangle} & = \sf width \times length\\\implies 252 & = x(x+4)\\252 & = x^2+4x\\x^2+4x & = 252\end{aligned}

To find the value(s) of x, complete the square.

Add the square of half the coefficient of the term in x to both sides:

\implies x^2+4x+\left(\dfrac{4}{2}\right)^2=252+\left(\dfrac{4}{2}\right)^2

\implies x^2+4x+4=256

<u>Factor</u> the perfect trinomial on the left side:

\implies (x+2)^2=256

<u>Square root</u> both sides:

\implies x+2= \pm \sqrt{256}

\implies x+2= \pm 16

Therefore:

\implies x=-2+16=14

\implies x=-2-16=-18

As width cannot be negative, the width of the room is 14 ft.

3 0
2 years ago
Express in kg: 3470 grams<br>4 kg 8 g​
Airida [17]

Answer:

Step-by-step explanation:

This Makes no sense but this is 4kg and 8g converted to Kg :

4kg - 8g = 4.008 kg

8 0
3 years ago
Sam bought 2gallons of milk at the supermarket how many quarts of milk did he buy
Scilla [17]
2 gallons is equal to 8 Us quarts (i need 20 words to answer, that is what this is)
5 0
3 years ago
A severe storm has an average peak wave height of 16.4 feet for waves hitting the shore. Suppose that a storm is in progress wit
Readme [11.4K]

Answer:

Option e

Step-by-step explanation:

The type of test for this sticky is a two tailed test: (either up or down) from the severe storm class rating.

Thus, the null hypothesis would be that u is equal to 16.4 feet while the alternative hypothesis would be that u is not equal to 16.4 feet; and the p value area is on both sides of the mean since it is a two tailed test.

3 0
3 years ago
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