The front of the stage, side C, is 50 feet long. A 40-foot rope runs along the side of square B. A 30-foot rope runs along the side of square A. Is the roped off area, triangle ABC, a right triangle? Explain.

Answer:

The answer is C, 281.25 cubic feet.

Step-by-step explanation:

First, you need to multiply all three sides of the rectangular prism.

10x4.5=45

45x6.25=281.25

So the answer is 281.25

Hope this helps!

Answer:

[tex]log_b 1 = 0[/tex]

Step-by-step explanation:

Given

[tex]log_b 1[/tex]

Required

Solve

[tex]log_b 1[/tex]

Express 1 as [tex]b^0[/tex]

[tex]log_b 1 = log_b b^0[/tex]

Apply power rule of logarithms

[tex]log_b 1 = 0 * log_b b[/tex]

Multiply by 0

[tex]log_b 1 = 0[/tex]

Answer:

logb 1 = 0

Step-by-step explanation:

Suppose that logb 1 = x.

Using the definition of a logarithm, bx = 1.

The only way a number that’s not equal to 1 can be raised to a power and equal 1 is if the exponent is 0. So, x = 0.

Therefore, logb 1 = 0.

Answer:

Add the numbers that have the same variables and exponents. Hope this helps!

Step-by-step explanation:

Answer:

-3x³ - 4x - 9

Step-by-step explanation:

-5x + x - 6x³ - 4 - 5  + 6x³ - 3x³

-6x³ + 6x³ - 3x³ - 5x + x - 4 - 5

-3x³ - 4x - 9

Answer:

Step-by-step explanation:

-12 = x-5

5-12 = x -5 + 5

-7  = x

there you go :)

Answer:

x = -7

Step-by-step explanation:

1. Write the equation.

-12 = x - 5

2. Since 5 is negative and we want to leave x by itself, add 5 to both sides. Adding 5 with cancel out the -5.

-12 +5 = x -5 +5

3. When you add +5 to -12, the equation you are left with will be:

-7 = x

Hope this helps :)

Answer:

y = k/x

k = 45

y = 45/x

Step-by-step explanation:

y varies inversely as x

y = k/x

y = 5 when x = 9

y = k/x

5 = k / 9

Cross product

5 * 9 = k

k = 45

Constant of proportionality, k = 45

y = 45/x

Answer:

[tex](b)\ 2 * (7 + 8) = (2 * 7) + (2 * 8)[/tex]

Step-by-step explanation:

Given

[tex](a)\ 2 * (7 + 8) = (2 + 7) * (2 + 8)[/tex]

[tex](b)\ 2 * (7 + 8) = (2 * 7) + (2 * 8)[/tex]

[tex](c)\ 2 * (7 + 8) = (2 * 7) + 8[/tex]

Required

Which illustrates distributive property of multiplication over addition

The property states that:

[tex]a(b + c) = a * b + a * c[/tex]

By comparison

[tex]a = 2\ b = 7\ c = 8[/tex]

So, we have"

[tex]2(7 + 8) = 2 * 7 + 2 * 8[/tex]

[tex]2(7 + 8) = (2 * 7) + (2 * 8)[/tex]

Answer:

9.62 x 10⁻⁵

Step-by-step explanation:

57 / 592346 = 0.0000962275

Scientific notation: We moved the decimal 5 times to the right, and in order to put the number back in standard form, we have to move the decimal 5 times to the left. So the scientific way of saying this is 9.62 x 10⁻⁵

9.62 x 10⁻⁵ or 57 / 592346 = 0.0000962275

How to: Divide the first expression by the second expression.

Have a great day and stay safe ! srry if im wrong

Answer:

The third one, 2c - 6

Step-by-step explanation:

Answer: Infinitely many solutions.

Step-by-step explanation:

Answer:

[tex]\huge\boxed{A_{\triangle RST}=9units^2}[/tex]

Step-by-step explanation:

(Look at the picture).

Calculate the area of the rectangle and subtract the areas of red triangles.

The formula of an area of a rectangle:

[tex]A_{\boxed{\ }}=a\cdot b[/tex]

We have:

[tex]a=5,\ b=4[/tex]

substitute:

[tex]A_{\boxed{\ }}=5\cdot4=20[/tex]

The formula of an area of a triangle:

[tex]A_\triangle=\dfrac{a\cdot h}{2}[/tex]

substitute:

[tex]A_1=\dfrac{3\cdot3}{2}=\dfrac{9}{2}=4.5\\\\A_2=\dfrac{2\cdot4}{2}=\dfrac{8}{2}=4\\\\A_3=\dfrac{5\cdot1}{2}=\dfrac{5}{2}=2.5\\\\A_1+A_2+A_3=4.5+4+2.5=11[/tex]

Area of ΔRST:

[tex]A_{\triangle RST}=A_{\boxed{\ }}-(A_1+A_2++A_3)[/tex]

substitute:

[tex]A_{\triangle RST}=20-11=9[/tex]

Answer:

40

Step-by-step explanation:

[tex]14 - 10 = 4 \\ \frac{4}{10} \times 100 = 40[/tex]

Answer:

5/6 in simpleest form is 5/6

It is already the lowest it can go

Answer:

Step-by-step explanation:

5/ 6  is already in the simplest form. It can be written as 0.833333 in decimal form (rounded to 6 decimal places).

Find the GCD (or HCF) of numerator and denominator

GCD of 5 and 6 is 1

Divide both the numerator and denominator by the GCD

5 ÷ 1

6 ÷ 1

Reduced fraction:  

5/ 6

Therefore, 5/6 simplified to lowest terms is 5/6.

Answer:

Uniform

Step-by-step explanation:

We don't have any peaks in the histogram, so its neither unimodal or bimodal leaving only uniform as the answer.

The shape of this distribution, histogram is Unimodal skewed type. The correct option is E.

A histogram represents the graphical representation of the distribution of data. The histogram is indicated by using a set of rectangles adjacent to each other where each bar represent a kind of data. The histogram doesn't involve any gaps between the two successive bars.

The histogram would be classified into different types based on the frequency distribution of the data.

Based on the direction of the tail, the skewed distribution may be either right-skewed or left skewed.

Since skewed distribution is asymmetrical as a limit which is natural resists end results on one side.

Threfore, the correct option is E.

To know more about histogram, visit;

brainly.com/question/16819077

#SPJ7

Answer: The answer should be 66.07$.

Step-by-step explanation:

If i am wrong I am sorry I don't know the % of tax that was taken.

Answer:

Mean- 70.8

Median- 70

Mode- 60

Step-by-step explanation:

Mean: 20+20+50+50+50+60+60+60+60+60+60+70+70+70+80+80+80+80+90+90+90+90+100+100+130= 1770

1770/ 25= 70.8

Median: cross off on each sides till you get to the middle number

Mode: 60 occurs the most frequent

Answer: 29/116

Step-by-step explanation:

Answer:

x = 622 (rounded to the nearest whole number value)

Step-by-step explanation:

=> Step 1: Solve for the base of top triangle;

Tan(39) = [tex]\frac{base1}{521}[/tex]

Tan(39) * 521 = base1

421.897 = base1

=> Step 2: Solve for the base of the bottom triangle;

Tan(21) = [tex]\frac{Base2}{521}[/tex]

Tan(21) * 521 = Base2

199.993 = Base2

=> Step 3: Finding x;

Base1 + Base2 = x

421.897 + 199.993 = x

621.89 or 622 = x

Hope this helps!

Answer:

Pages                Time(hours)

 [tex]\frac{85}{2}[/tex]                       [tex]\frac{5}{3}[/tex]

 [tex]x[/tex]                        [tex]1[/tex]

[tex]x*\frac{5}{3} = \frac{85}{2} *1\\\\x = \frac{85*3}{5} = 17*3 = 51 \ pages[/tex]

Answer:

X³ – 3x² – 9x – 5

= x³ + x² – 4x² – 4x – 5x – 5

= x²( x + 1) – 4x ( x + 1) – 5(x + 1)

= (x + 1)(x² – 4x – 5)

= (x + 1)(x² -5x + x – 5)

= (x + 1)(x – 5) (x + 1)

hence, (x +1), (x -5) and (x +1) are the factors of given polynomial .

Was this answer helpful?

Answer:

60 ounces

Step-by-step explanation:

3 pounds = 48oz+12oz=60oz

Answer:

b and c

Step-by-step explanation:

because they are correct

Answer:

This simplified would be 32xm

Hope this helps!

Mark me brainliest if I'm right :)

Answer:

Um, can you add the picture of the number line?

Answer:

measure of zvm is 119°

Step-by-step explanation:

Answer:

8. 24

9. 10

2. 72

1. 113

5. 7.96 = 8

11. 30.19 = 30.2

6. 28.27 = 28

That's all I can answer right now, maybe study a bit more and your grades will get better! Good luck!

Answer:

72 is equal to 2 yards.

Explanation:

There are 36 inches in one yard.

(another way to look at this is there are 3 feet in one yard, each feet is 12 inches. So, 12 multiplied by 3 is equal to 36 inches, or one yard)

Then, since in this question we are finding out in relation to 2 yards, add 36 inches + 36 inches, and that is equal to 72 inches.

72 and 72 are equal :)

Answer:

In the coordinate plane we can draw the translation if we know the direction and how far the figure should be moved. To translate the point P(x,y) , a units right and b units up, use P'(x+a,y+b) .

Step-by-step explanation: