show how to solve the equation in the picture

Answer:

20cm²

Step-by-step explanation:

We can solve this by dividing the volume of the cuboid by the height of the cuboid. The formula for the volume of a cuboid is Length * Width * Height, so dividing the volume will leave us with the Length * Width, which is also the area of the shaded face.

100cm³/5cm = 20cm²

The area of the shaded face is 20cm².

We can solve this by dividing the volume of the cuboid by the height of the cuboid. The formula for the volume of a cuboid is Length * Width * Height, so dividing the volume will leave us with the Length * Width, which is also the area of the shaded face.

The area of the shaded face is 20cm².

Answer:

A money market fund is a type of mutual fund that invests in high-quality, short-term debt instruments and cash equivalents.

Answer:

1. α²+β² = 25/36

2. 1/α+1/β​ = 1/2

Step-by-step explanation:

Formula :

Consider the quadratic equation ax² + bx + c = 0

Where x₁ and x₂ are the zeros of the equation.

Then

[tex]x_{1}+x_{2}=-\frac{b}{a} \\x_{1}\times x_{2}=\frac{c}{a}[/tex]

……………………………………

α and β are the zeros of the quadratic polynomial f(x) = 6x²+x-2

Then

[tex]\alpha +\beta =-\frac{1}{6}[/tex]

[tex]\alpha \times \beta =-\frac{1}{3}[/tex]

……………………

[tex]\alpha^{2} +\beta^{2} =\left( \alpha +\beta \right)^{2} -2\alpha \beta[/tex]

            [tex]=\alpha^{2} +\beta^{2} =\left( -\frac{1}{6} \right)^{2} -2\times(-\frac{1}{3} )[/tex]

            [tex]=\frac{25}{36}[/tex]

………………………………

[tex]\frac{1}{\alpha } +\frac{1}{\beta } =\frac{\alpha +\beta }{\alpha \beta }[/tex]

          [tex]=\frac{-\frac{1}{6} }{-\frac{1}{3} } =\frac{1}{2}[/tex]

Probability that he will choose debbie and esther as the two representatives is 1/20 .

Probability is the stream in mathematics in which likeliness of an event to happen is studied.

The range of probability lies between 0 to 1 , where 0 indicates uncertainty and 1 indicates certainty.

It is given that anna, becky, christina, debbie, and esther are the five candidates for student representative for the school board.

two students will be selected, and they will alternate attending the school board meetings.

all five students are equally well qualified, so the school superintendent decides to draw names at random.

probability he will choose debbie and esther as the two representatives = ?

Probability of chosing debbie is 1/5

Probability of choosing Esther is also 1/5

Either of them if chosen first the probability is 1/5

and the either of them chosen second the probability is 1/4

Probability that he will choose debbie and esther as the two representatives = (1/5)*(1/4) = 1/20 .

To know more about Probability

https://brainly.com/question/11234923

#SPJ1

Answer:

4/6

Step-by-step explanation:

if the pas is a dozen brownies

1/2 of a pan is 6 2/3 of 6 would be 4/6

Answer:

21.99

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

Basically, the associative property states that when an expression has three terms, they can be grouped in any way to solve that expression.

For example, [tex](8*4)*5=8*(4*5)[/tex] if you're doing multiplication, or [tex](8+4)+5=8+(4+5)[/tex], if you're doing addition.

Answer:

1/3.

Step-by-step explanation:

Prob(Drawing white marble) = 2/3

Prob(Drawing a black marble on second draw ) =  1/2

So:

Prob(Drawing a white then a red marble) = 2/3 * 1/2

= 2/6

= 1/3.

Answer:

Angle D is 36 Degree!

Step-by-step explanation:

In vertical angle theorem, it stated that if two angles are vertical, then they are congruent to each other.

Answer:

d=144°

Step-by-step explanation:

Vertical angles add up to 180

c+d=180

36+d=180

d=180-36

d=144°

Answer:

V = 324 cm³

Step-by-step explanation:

the volume (V) of the pyramid is calculated as

V = [tex]\frac{1}{3}[/tex] Ah ( A is the area of the base and h the height )

here A = 9² = 81 cm² and h = 12 , then

V = [tex]\frac{1}{3}[/tex] × 81 × 12 = 27 × 12 = 324 cm³

The value 2 / 7 is greater than 4 / 12 is  - 1 / 21

To know the value 2/7 is greater by 4 / 12, we have to subtract 4 / 12 from 2 / 7 .

Therefore,

2 /  7  - 4 / 12 = 24 - 28/84

Therefore,

24 - 28/84  = - 4/ 84 = - 1 / 21

Therefore, it is greater by - 1 / 21

learn more on algebra here: https://brainly.com/question/21287517

#SPJ1

The height of the shed is 2.325 m

The complete question is

The roof of a lean-to-garden shed has a gradient of 0.35.find the height....they have given the base as 1.5m and a shorter height 1.8m its like a house

In a Triangle when one angle is 90 degree , the triangle is called Right Triangle .

Structure of the house is a right triangle with base = 1.5m

(height of that triangle)/1.5 = 35/100

height of that triangle = 1.5*0.35 = 0.5250

Ans: greater height of the lean-to = 1.8 + 0.5250 = 2.325 meters.

The height of the shed is 2.325 m.

To know more about Right Triangle

https://brainly.com/question/6322314

#SPJ1

Answer:

OTHER ANSWER IS WRONG

Step-by-step explanation:

B. All parallelograms are quadrilaterals.

D. All squares are rhombuses.

Answer:

What is the context, at least give a figure

multiply left to right:

-4 x 542 = -2,168

-2,168 x 5 = -10,840

answer: -10,840

The simplified expression is -4x^(547).

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.com

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

To simplify -4x^(542)x^5.

You can use the property of exponents that states that when you multiply two terms with the same base, you add their exponents.

So,

-4x^(542)x^5

= -4x^(542+5)

= -4x^(547)

Thus,

The simplified expression is -4x^(547).

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ7

Answer:

20ft²

Step-by-step explanation:

Total courses =5

Each course has 3 options

5 courses has

Hence

Answer: m = 15

Explanation:

Each (1 course) has 3 options

By multiplication,

5 courses shall have: (5 × 3) = 15 choices

By addition,

Sum of choices for 5 courses: (5 + 5 + 5) = 15 choices

Answer:

What you need to remember for answering this question is that the probability of any event is the number of sample points in the event divided by the number of sample points in the sample space.

If you have multiple trials and if the sampling is with replacement then, no matter how many samples are drawn, the probabilities remain the same for each trial.

Answer:

[tex]x = 11[/tex]

Step-by-step explanation:

[tex]7x - 9 = 28 + 4(x - 1) \\ 7x - 9 = 28 + 4x - 4 \\ 7x - 4x = 28 - 4 + 9 \\ 3x = 33 \\ \\ x = \frac{33}{3} \\ \\ x = 11[/tex]

Answer:

c) x = 11

Step-by-step explanation:

Given equation: 7x - 9 = 28 + 4(x - 1)

Steps:

1. Distribute 4 through the parentheses:

7x - 9 = 28 + 4(x) + 4(-1)

7x - 9 = 28 + 4x - 4 [simplify]

7x - 9 = 24 + 4x

2. Subtract 4x from both sides:

7x - 4x - 9 = 24 + 4x - 4x

3x - 9 = 24

3. Add 9 to both sides:

3x - 9 + 9 = 24 + 9

3x = 33

4. Divide both sides by 3:

3x ÷ 3 = 33 ÷ 3

x = 11

5. Check your work:

7x - 9 = 28 + 4(x - 1) [substitute 11 for x]

7(11) - 9 = 28 + 4(11 - 1) [simplify]

77 - 9 = 28 + 4(10) [simplify]

68 = 28 + 40 [add]

68 = 68 ✔

Learn more here:

brainly.com/question/27844321

brainly.com/question/21222758

Answer:

112.8

Step-by-step explanation:

Hope this help!!

The total area is 1289.41 units².

The total perimeter is 281.32 units.

The first step is to determine the side lengths of the other squares:

Area of a square = length²

Perimeter of a square = 4 x length

Total area = sum of the areas of the 5 squares = 1289.41 units²

Total perimeter = 281.32 units

To learn how a square, please check: https://brainly.com/question/9030544

#SPJ1

Answer:

PERIMETER: 584/3, AREA: 11605/9

Step-by-step explanation:

PERIMETER: The side lengths form a geometric series with a = 27, and r = 2/3. Along the bottom we see all five lengths, and those same lengths are seen along the top. The sum of these lengths is 27+18+12+8+16/3=211/3.

We can also calculate this as the sum of the geometric series:

27 (1 - (2 / 3) ^ 5)/ 1 - (2 / 3) = 27(1 - 32 / 243)/ (1 / 3) = 81 x 211/243 = 211/3

We see these lengths twice, once along the bottom and once as horizontal segments on the top. We also add the left side of 27. The vertical segments on the right must also have a total length of 27, since they cover the same ground as the left side.

The total perimeter: 2 x 211/3 + 2 x 27 = 584/3

AREA: 27^2 + 18^2 + 12^2 + 8^2 + (16/3)^2 = 11605/9

To solve the negative exponents , we have to apply the negative exponent rule or the fractional exponent rule.

To calculate the negative exponent we need to remember about the negative exponent that the base is on the opposite side of the fraction. Here , We need to flip the fraction so that the base will be on the other side.

Negative exponent Rule :-

[tex]a^{-n} = \frac{1}{a^{n} }[/tex]

Now , we will solve a fraction with negative exponent

For example ; Simplify the fraction [tex]\frac{3^{-2} }{9^{-2} }[/tex]

Solution : [tex]\frac{3^{-2} }{9^{-2} } = \frac{9^{2} }{3^{2} }= \frac{81}{9}[/tex]

= 9

Here, 9 is the answer of the above example.

For more negative exponent related content visit here

https://brainly.com/question/1773695

#SPJ1

Answer:

3/2 + 3/2 + 3/2 = 3/1

so 3 over 1 times 1 over 2

The graph that shows a unit rate of 3/4, which is the time Cindy reads while riding in the car is the graph attached below.

Unit rate can be described as a constant or exactly how much of one quantity is per 1 unit of another quantity.

Unite rate (k) = x/y.

In the graph attached below, when x (hours driving) = 3, y (hours reading) = 4.

Therefore, unit rate = 3/4. We can then conclude that the graph that shows that Cindy reads 3/4 of the time she rides in a car is the graph attached below.

Learn more about unit rate on:

https://brainly.com/question/19493296

#SPJ1

Answer:

Common factor

5x^{2}+35x

5(x^{2}+7x)

2

Rewrite in factored form

5(x^{2}+7x)

5x(x+7)

Solution

5x(x+7)

Step-by-step explanation:

mark me brainlist

Answer:

[tex]C) ~x = \pm 2\sqrt 6[/tex]

Step-by-step explanation:

[tex]~~~~~~x^2 = 24\\\\\implies x = \pm\sqrt{24}\\\\\implies x = \pm\sqrt{4 \times 6}\\ \\\implies x = \pm 2\sqrt 6[/tex]

Answer:

C

Step-by-step explanation:

x² = 24 ( take square root of both sides )

x = ± [tex]\sqrt{24}[/tex] = ± [tex]\sqrt{4(6)}[/tex] = ± ( [tex]\sqrt{4}[/tex] × [tex]\sqrt{6}[/tex] ) = ± 2[tex]\sqrt{6}[/tex]

Solve It... Brainlist Too Pls For I Can Get To Next Level

I Have Stumbled Across This, Lol