What is the base of the triangle when the area is 120ft and the height is 8ft

Answer:

P(0,1)

Step-by-step explanation:

The vertices of pentagon PQRST are P(0, 1), Q(2, 2), R(5, 3), S(4, 0), and T(1,−1).

If a figure reflected across y-axis, then the relation between preimage and  image is

[tex](x,y)\rightarrow (-x,y)[/tex]

If the pentagon PQRST reflected over the y-axis, then vertices of image are

[tex]P(0,1)\rightarrow P'(0,1)=P[/tex]

[tex]Q(2,2)\rightarrow Q'(-2,2)[/tex]

[tex]R(5,3)\rightarrow R'(-5,3)[/tex]

[tex]S(4,0)\rightarrow S'(-4,0)[/tex]

[tex]T(1,-1)\rightarrow T'(-1,-1)[/tex]

Therefore, only vertex P will not change its coordinates after reflection.

1. Volume of a cylinder is πr^2h

Area of the base would be πr^2

Volume would be the height x the area of the base:

Volume = 5 x 20 = 100 cubic in.

2. Divide the volume by the area:

207 / 20.7 = 10

The height is 10 inches.

Answer:

Step-by-step explanation:

The formula of a volume of a cylinder:

[tex]V=Bh[/tex]

B - base area

h - height

1. We have

h = 5in, B = 20 in².

Substitute:

[tex]V=(5)(20)=100\ in^3[/tex]

2. We have

B = 20.7 in², V = 207 in³.

Substitute:

[tex]207=20.7h[/tex]            divide both sides by 20.7

[tex]\dfrac{207}{20.7}=\dfrac{20.7h}{20.7}\\\\10=h\to h=10\ in[/tex]

Answer:

56.31

Step-by-step explanation:

A 7.25% tax is $3.81

52.50-3.81+48.69

Hope it helps!

EASY PEASY i got u bro

f(-2) = -(-2) + 5(-2) - 12

= 2 -10 -12

= -20

F(-2) = -20

Just plug in -2 for x

9514 1404 393

Answer:

  Greg is correct. 3.3 has a finite number of digits

Step-by-step explanation:

A "non-terminating" decimal is one with an infinite number of digits. If you can actually count the digits, it is a terminating decimal. 3.3 has 2 digits, so is a terminating decimal. Greg is correct.

__

A terminating or repeating decimal is a rational number.

  [tex]3.3 \quad\text{a terminating decimal equal to $\dfrac{33}{10}$}\\\\ 3.\overline{3} \quad \text{a non-terminating rep}\text{eating decimal equal to $\dfrac{10}{3}$}[/tex]

Using the concept of rational numbers, it is found that 5.3 is a rational number, as it is a terminating decimal, and thus, Greg is correct.

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Number sets are used to solve this question.

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A similar problem is given at https://brainly.com/question/13325494

Answer:

100 inches Over 1 minute times × 1 foot Over 12 inches

Step-by-step explanation:

Remember that

[tex]1\ ft=12\ in[/tex]

so

[tex]1\ in=1/12\ ft[/tex]

we have

[tex]100\frac{in}{min}[/tex]

Convert to ft/min

To convert in/min to ft/min multiply the given value by the factor 1/12

[tex]100\frac{in}{min}(1/12)\frac{ft}{in}=8.33\ ft/min[/tex]

therefore

100 inches Over 1 minute times × 1 foot Over 12 inches

100 inches Over 1 minute times × 1 foot Over 12 inches, the correct answer is 3.

We know that,

1ft = 12inches

So, 1 in. = 1/12 ft

We have expression converts 100 inches per minute to feet per minute

100 inches/min

To convert in/min to ft/min multiply the given value by the factor 1/12

100  inches/min (1/12 ft/in)

Therefore, 100 inches Over 1 minute times × 1 feet Over 12 inches

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Answer:

x+7y = -77

Step-by-step explanation:

multiply both sides by 7 to get rid of denominator

7y = -x-77

now move x term to other side

x+7y = -77

Answer:   = 119/120

Step-by-step explanation:

=

104

120

+

15

120

=

104+15

120

=

119

120

(Decimal: 0.991667)

The resulting expression for (3⁰+2⁰)×5⁰ is 1

Before we solve the tabled algebra problem, we must understand that any value raise to the power of zero is 1.

Given the expression

(3⁰+2⁰)×5⁰

Since all the integers are raised to power of zero, hence;

3⁰ = 1

2⁰ = 1

5⁰ = 1

Substitute this values into the given expression

= (3⁰+2⁰)×5⁰

= (1+1)×1

= 1 × 1

= 1

Hence the resulting expression for (3⁰+2⁰)×5⁰ is 1

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Answer:

1.6 miles

Step-by-step explanation:

60/12=5

which will mean 1/5=.2

.2x8=1.6 miles

Tina's running rate is 8 miles per hour. In 12 minutes, she will cover a distance of 1.6 miles.

To calculate the number of miles Tina will run in 12 minutes, we need to convert the time to hours since her rate is given in miles per hour.

Since there are 60 minutes in an hour, we divide 12 minutes by 60 to convert it to hours:

12 minutes / 60 = 0.2 hours

Now, we can calculate the distance Tina will run by multiplying her rate by the time:

Distance = Rate * Time = 8 miles per hour * 0.2 hours

Distance = 1.6 miles

Therefore, Tina will run 1.6 miles in 12 minutes.

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Answer:

[tex]x=0.79[/tex]

Step-by-step explanation:

we have

[tex]-5(10^{x})=-31[/tex]

step 1

Divide by -5 both sides

[tex]10^{x}=31/5[/tex]

step 2

Apply log both sides

[tex]log[10^{x}]=log[31/5][/tex]

step 3

Applying Property of logarithms

Remember that

[tex]log(x^{y})=ylog(x)[/tex]

so

[tex]xlog[10]=log[31/5][/tex]

Remember that

[tex]log(10)=1[/tex]

substitute

[tex]x=log[31/5][/tex]

[tex]x=log(6.2)[/tex]

[tex]x=0.79[/tex]

Answer:

A) The slope is positive 3 and the y-intercept is (0, 4).

Step-by-step explanation:

3x - y = -4

-3x -3x

__________

-y = -3x - 4

__ _______

-1 -1

y = 3x + 4 >> y-intercept at [0, 4] and has a positive three rate of change [slope] ☑

I am joyous to assist you anytime.

Step-by-step explanation: usatestprep approved

Answer:Vertical stretch/compression is achieved by multiplying the function by a certain constant. In particular, if  the function is vertically stretched by a factor k, otherwise, if , the function is vertically compressed by a factor k. So, in your case, you want to multiply the function by 1/4.

Answer:

Step-by-step explanation:

The triangle's height would have to be 2 times that of the rectangles. To know this, you canlook at the formulas for the Area of each shape.

Rectangle: bh

Triangle: bh/2

A triangle is just a rectangle cut in half. In order for the areas to be the same asleep as the bases, the only way it can be true is if the height were 2 times larger than the height of the rectangle.

The 5 in the ones place has a value of 5, while the 5 in the tens place has a value of 50.

Hope this helped!

Nate

The answwe is that 5 is 50 and 5 is 5, giv the other user brainliest tho...

8x+4= 20

move +4 to the other side

sign changes from +4 to -4

8x+4-4= 20-4

8x= 20-4

8x= 16

divide both sides by 8 to get x by itself

8x/8= 16/8

Cross out 8 and 8, divide by 8 and then becomes 1*1*x= x

x= 16/8

Answer: D. x = 2

In order to get the answer to this question you will have to solve the equation before you can get the answer.

[tex]8x+4=20[/tex]

[tex]-4-4[/tex]

[tex]20-4=16[/tex]

[tex]8x=16[/tex]

[tex]\div8\div8[/tex]

[tex]16\div8=2[/tex]

[tex]x=2[/tex]

Therefore your answer is option D "x = 2."

Hope this helps.

Answer:

1676

Step-by-step explanation:

The store started with 32500 items and finished the day with 30824 items.

Intial value = 32500

Final value = 30824

Difference = Initial value - Final value = 32500 - 30824 = 1676

The store sold 1676 items in the day

Step-by-step explanation:

4 (3^2-2^3)^3

Answer:

4

Step-by-step explanation:

Answer:

m=1.1

Step-by-step explanation:

Divide one side by 8, then you get 7:(4/11 m)=7: 0.4

Basically then 4/11 m=0.4

4/11 m=2/5

m=(11/4)(2/5)

m=11/10, 1 1/10, 1.1

The value of m that satisfies the proportion 7:(4/11 m) = 56:3.2 is 1.1

From the question, we have the following parameters that can be used in our computation:

7: (4/11m) = 56 : 3.2

Cross-multiply the proportions

7 * 3.2 = (4/11 m) * 56

Simplify both sides:

22.4 = (4/11 m) * 56

Divide both sides by 56

(4/11 m) = 22.4 / 56

Simplify the right side

(4/11 m) = 0.4

Multiply both sides by (11/4)

m = 0.4 * (11/4)

So, we have

m = 1.1

Hence, the calculated value of "m" that satisfies the proportion 7:(4/11 m) = 56:3.2 is 1.1

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The fifth root of x can be expressed as a power of 1/5 this way:

x^(1/5).

Now raise [x^(1/5)] to the 9th power.

[x^(1/5)]^(9)

Multiply the powers to complete the problem.

x^(9/5)

Answer: Choice B.

The expression 'fifth root of x to the power of 9' can be rewritten as 'x to the 9/5 power' in terms of rational exponents, this is option b.

The correct rewrite of the expression, 'fifth root of x to the power of 9', utilizing rational exponents instead of a radical approach, is expressed as x to the 9/5 power. When translating a radical to a rational exponent, the index of the root becomes the denominator and the power of the term inside the root becomes the numerator.

So, fifth root of x to the power of 9 translates to x to the power of 9/5, which corresponds to option b.

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Answer:

16 is a rational number 16/1.

Step-by-step explanation:

If you take the square root of 15 it will be 3.8.. but doesnt repeat, square root of 16 is 4 (perfect square) , square root of 17 is 4.123... doesnt repeat or stop, and the square root of 18 is 4.242.. but doesnt repeat or stop. A rational number can be expressed as a ratio or a fraction. 16 can be expressed as a fraction the other numbers keep going meaning never stop.

the answer is

161/500

Answer:

28:26

Explanation:

Because a ratio compares things. Since there are 26 students on the floor, and 28 students on the bleachers, you would type 28:26.

I hope I was helpful :)

Answer:

14000:21000

Step-by-step explanation:

2:3 = 2x + 3x

2x + 3x = 35,000

5x = 35,000

x = 35,000/5

x = 7000

2x = 7000 * 2

    = 14000

3x = 7000 * 3

    = 21000

Final answer:

The expression 80 + (-22 4/15) is solved by converting the mixed number to an improper fraction, aligning the fractions by the same denominator, and then adding them to get 58 4/15 as the result.

Explanation:

To solve the expression 80 + (-22 4/15), follow these steps:

First, convert the mixed number -22 4/15 into an improper fraction. To do this, multiply the whole number by the denominator and add the numerator: (-22 × 15) + 4 = -330 + 4 = -326, so the mixed number becomes -326/15.

Next, since 80 is a whole number, we can convert it into a fraction with the same denominator of 15 to make it easier to add to -326/15. To do that, multiply 80 by 15/15, which is the equivalent of 1, to get the fraction 1200/15.

Now, add the two fractions: 1200/15 + (-326/15) = (1200 - 326)/15 = 874/15.

This fraction can be simplified back into a mixed number by dividing the numerator by the denominator: 874 ÷ 15 = 58 with a remainder of 4, so the mixed number is 58 4/15.

Therefore, the solution to the expression 80 + (-22 4/15) is 58 4/15.

Answer:  The required expand form is [tex]33x-21x^2.[/tex]

Step-by-step explanation:  We are given to expand the following expression :

[tex]E=3x(11-7x)~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]

To expand the given expression, we must multiply 3x with each of the rems within the bracket.

The expansion of expression (i) is as follows :

[tex]E\\\\=3x(11-7x)\\\\=3x\times11-3x\times7x\\\\=33x-21x^2.[/tex]

Thus, the required expand form is [tex]33x-21x^2.[/tex]

Answer:

0.000009054

Have a nice day!!! :-)

9.054 X 10-6 is represented by the conventional form 0.000009054.

Any value between 1.0 and 10.0 that can be expressed as a decimal number and multiplied by a power of 10 is referred to as being in standard form.

A linear equation has the conventional form Ax+By=C. A slope-intercept form equation (y=mx+b) must have the x and y on the same side of the equal sign and the constant on the opposite side in order to be converted to standard form.

Any value between 1.0 and 10.0 that can be expressed as a decimal number and multiplied by a power of 10 is referred to as being in standard form. If you look closely, you will see that 1.23 is a decimal between 1.0 and 10.0, and as a result, we have the standard form of 123,000,000 as 1.23 108.

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