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nasty-shy [4]
2 years ago
7

Write each decimal as a percent round to the nearest tenth of a percent if needed

Mathematics
1 answer:
viva [34]2 years ago
5 0
11) 10%
12)6%
13)142%
14)537%
Now round like it says.
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Convert the fraction 7 24 into a repeating decimal.
goldenfox [79]
\dfrac7{24}=\dfrac6{24}+\dfrac1{24}=\dfrac14+\dfrac1{24}

\dfrac1{24}=\dfrac1{8\time3}=\dfrac a8+\dfrac b3=\dfrac{3a+8b}{24}
\implies3a+8b=1

We can choose a=-1 and b=\dfrac12, so that

\dfrac1{24}=-\dfrac18+\dfrac16

Recalling that \dfrac13=0.333\ldots, it follows that \dfrac16=0.166\ldots. So,

\dfrac1{24}=0.125+0.166\ldots=0.04166\ldots
\implies\dfrac7{24}=0.25+0.4166\ldots=0.29166\ldots
6 0
3 years ago
Find the volume of a cube<br> whose surface area is 150<br> ft2?
Brrunno [24]

Given:

  • Surface area of cube = 150 ft²

To Find:

  • Volume of cube

Solution:

As here in Question we are given Surface area of cube is 150 sq. feet. So, firstly we have find the side of edge of cube. Let 'a' be the edge of the cube

We know that,

\: \: \: \: \dashrightarrow \sf \: \: \: \: Surface  \: area_{(Cube)} = 6a^2  \\  \\

Substituting the required values,

\: \: \: \: \dashrightarrow \sf \: \: \: \: 150 = 6a^2  \\  \\ \: \: \: \: \dashrightarrow \sf \: \: \: \:   \frac{150}{6}   =  {a}^{2}  \\  \\ \: \: \: \: \dashrightarrow \sf \: \: \: \: 25 =  {a}^{2}  \\  \\ \: \: \: \: \dashrightarrow \sf \: \: \: \:  \sqrt{25}  = a \\  \\ \: \: \: \: \dashrightarrow \sf \: \: \: \: { \underline{ \boxed{ \sf{ \pink{5 = a}}}} } \\  \\

  • Edge of the cube is 5 feet

Now,

\: \: \: \: \dashrightarrow \sf \: \: \: \: Volume = (edge)^3 \\  \\ \: \: \: \: \dashrightarrow \sf \: \: \: \: Volume = (5)^3 \\  \\ \: \: \: \:\dashrightarrow \sf \: \: \: \: {\underline{\boxed{\sf{\pink{Volume =125 \: {ft}^{3}}}}}}  \\  \\

Hence,

  • Volume of the cube is 125 cu. feet
7 0
2 years ago
Read 2 more answers
Help find the missing lengths round to nearest tenth
Mama L [17]

Answer:

<h2>x = 20.8</h2><h2>y = 22.3</h2>

Step-by-step explanation:

  • Theta is 21 degrees
  • x is the adjacent side
  • 8 is the opposite side
  • y is the hypothenuse

SOH - CAH - TOA

Since the opposite side is given and we need to find the length of the adjacent side, we can use tangent to solve for x.

tan 21=\frac{opposite}{adjacent} \\tan 21 =\frac{8}{x} \\0.384 =\frac{8}{x} \\0.384x =8 \\x=\frac{8}{0.384} \\x=20.84

Since the opposite side is given and we need to find the length of the hypotenuse, we can use sine to solve for y.

sin 21=\frac{opposite}{hypotenuse} \\sin21 =\frac{8}{y} \\0.358 =\frac{8}{y} \\0.358y=8 \\y=\frac{8}{0.358} \\y=22.32

6 0
2 years ago
A window had a length of 8 feet and a width of 6 feet. what is the perimeter of the window?
alexira [117]
Perimeter = 2l+2w in this case. So 16+12, 28 feet is your answer!
7 0
3 years ago
Read 2 more answers
Practice: Modeling: Constructing a square. Please if anyone can help me in this.
allochka39001 [22]

Answer:

ni nin i ni ni ni

Step-by-step explanation:

ni ni ni ni ni ni ni ni

4 0
3 years ago
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