Match each shape on the left with its area formula on the right.

Answer:

3/4 of an inch

Step-by-step explanation:

The longest plant is 7/8 of an inch

The shortest plant is  1/8 of an inch

7/8 - 1/8 = 6/8

Simplifying = 3/4

Answer:

Notice that each edge of the cube is 2 yards long, and the height of the pyramid is 2 yards long too.

The slant height refers to the height of a triangle on its face, which forms a right triangle with the height of the pyramid and half side. Using Pythagorean's Theorem, we have

[tex]s^{2}=1^{2} +2^{2}\\ s=\sqrt{5}[/tex]

Therefore, the slant height is the square root of 5, in yards units. (A)

The surface of the composite figure is the sum of the surface area of both volumes.

[tex]S_{composite}=S_{cube} +S_{pyramid}\\ S_{composite}=5(2)^{2} +(2)^{2} +\frac{1}{2} (8)(\sqrt{5} )=20+4+4\sqrt{5} \\ S_{composite}\approx 32.9 yd^{2}[/tex]

Therefore, the surface of the composite figure is 32.9 square yards. (B)

The concrete needed will fill the empty space between the cube and the pyramid, so we have to find the difference between their volumes.

[tex]V_{concrete}=V_{cube} -V_{pyramid}=2^{3}-\frac{1}{3}(2)^{2} (2)=8-\frac{8}{3} \\V_{concrete} \approx 5.33 yd^{3}[/tex]

Therefore, we need 5.33 cubic yards of concrete to make the planter. (C)

Answer:

A. 2.24 yd

B. 53.67 yd²

C. 5.33 yd³

Step-by-step explanation:

Here we have;

Height of the pyramid = 2 yd

Side length of pyramid base = 2 yd

Therefore, the slant height forms a right triangle with the height of the pyramid and half the base hence;

(Slant height)² = (2·yd)² + (2·yd/2)² = 4·(yd)² + (yd)² = 5·(yd)²

∴ Slant height = √5 yards = 2.24 yd

B. The surface area of the cube with one side open is found as follows;

Surface area of container cube = 5 × (2·yd)² = 20 yards²

The surface area of the pyramid = Base area + 1/2 perimeter of base × Slant height

Since the base is open, we have;

The surface area of the pyramid = 1/2 perimeter of base × Slant height

= 1/2 × (4 × (2·yd))×yd·√5 = 4·yd×yd·√5 = 4·√5·(yd)²

Hence total surface area of the planter = Surface area of container cube + surface area of the pyramid

total surface area of the planter = 20·yd² + 4·√5 yd² = 24·√5 yards²

C. The volume of concrete needed to make the planter is the volume of the cube concrete container less the volume of the inverted pyramid

Volume of the cube = 2 × 2 × 2 = 8 yd³

Volume of the inverted pyramid = 1/3 × Base area × Height

Volume of the inverted pyramid = 1/3 × 2 × 2 × 2 = 8/3 yd³

Therefore, volume of the concrete needed = 8 yd³ - 8/3 yd³ = 16/3 yd³ = 5.33 yd³.

Answer:

3x2(4x – 3) + 1(4x – 3)

Step-by-step explanation:

Answer:

The net change is a decrease of 1,280 feet

Step-by-step explanation:

From the question, we understand that the hiking team has a work rate of 320 feet / hour

Now that are descending between the hours 1pm and 5pm, this means that they descended for a total of 4 hours.

Now the total number of feet they have descended will be the number of hours * work rate = 4 hours * 320 feet/hour = 1,280 feet

Thus, the net change is decrease of 1,280 feet

Answer:

42.1 cm

Step-by-step explanation:

The length of the arc is circumference of the circle - length of minor arc GH

circumference of circle = 2 * π * r = 2 * π * 9.1 = 18.2 π cm

The length of the minor arc = angle/360 * 2 * π * r

Now this is tricky, the angle is 360-265 = 95

The length of the minor arc = 95/360 * 2 * π * 9.1 = 4.80 π

Length of major arc = 18.2 π -4.8 π = 13.4 * π = 13.4 * 22/7 = 42.11cm

Total what she made.

5.25 + 4.40 = 9.65

Total what she spent:

3.75 + 2.25 = 6.00

Subra to the amount spent from the amount earned:

9.65 -6.00 = 3.65

She has $3.65 left

The dimension of the rectangle is 8m by 6.5m respectively

The formula for calculating the area of a rectangle is expressed as;

A =lw

If the length of a rectangle is 5 m less than twice the width, then;

l = 2w - 5

Substitute

A = w(2w-5)

52 = 2w² - 5w

2w² - 5w = 52

2w² - 5w - 52 = 0

(2w−13)(w+4)=0

Step 2: Set factors equal to 0.

2w−13=0 or w+4=0

w =13/2 or 6.5m

Determine the length

l = 2w - 5

l = 2(6.5) - 5

l = 13 - 5

l =8m

Hence the dimension of the rectangle is 8m by 6.5m respectively

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Answer:

12 pitchers

Step-by-step explanation:

Saturday, 6 pitchers

Sunday, same number of pitchers with Saturday, = 6 pitchers

Total pitchers = 6 + 6 = 12 pitchers

Answer:

Cleo sold 6 pitchers of lemonade on Sunday.

Step-by-step explanation:

Cleo sold lemonade at her lemonade stand.

She sold 6 pitchers on Saturday.

On Sunday, she sold as many pitchers as Saturday.

This implies that she sold 6 pitchers too.

She sold 6 pitchers on Saturday, and 6 pitchers on Sunday.

Answer:

Step-by-step explanation:

the graph is at the highest power at the top left corner because the graph shape has a even or odd chance so that is the answer

It's highest power is odd

What is graph of polynomial ?

The graph of a polynomial function will touch the x-axis at zeros with even multiplicities. The graph will cross the x-axis at zeros with odd multiplicities. The sum of the multiplicities is the degree of the polynomial function.

According to the question,

Graph of polynomial is shown in given graph,

(1) at point A graph passes linearly

(2) At point b, graph passes x-axis cubically

(3) At point c, Graph passes x-axis linearly

Hence, polynomial having degree 5

Hence, it's highest power is odd

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Answer:

h=2

Step-by-step explanation:

7h=−(2h−18)

Distribute the minus sign

7h = -2h +18

Add 2h to each side

7h +2h = -2h+2h +18

9h = 18

Divide each side by 9

9h/9 =18/9

h =2

Answer:

h = 2

I got it right on Kahn Academy

Answer: 1/5, .2, and or 20%

Step-by-step explanation:

The only multiple of 2 that is less than 3 and greater than 1 is 2, so there is a 1/5, .2 and or 20% chance of this happening

Answer:

Your annswer is b

Step-by-step explanation: because it is least than all of the others

The number that has the least value is given as -13.142.

The arithmetic operations are the fundamentals of all mathematical operations. The example of these operators are addition, subtraction, multiplication and division.

The number given in the options are |-10.869|, -14⁶/₇, 9.21 and |-10.25|.

Write all the numbers in one equivalent form as below,

⇒ |-10.869| = 10.869

⇒ -14⁶/₇ = -14 + 6/7 = -13.142

⇒ 9.21

⇒ |-10.25| = 10.25

It is clear from the equivalent form that the least value is -13.142.

Hence, the the least value number is obtained as -13.142.

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Answer:

m=2

mean is 13

Answer:

The value of the car after 3 years is R$58.320.

O valor do carro ao final desse período é R$58.320.

Step-by-step explanation:

The value of the car after t years is given by the following equation:

[tex]V(t) = V(0)(1-r)^{t}[/tex]

In which V(0) is the initial value and r is the yearly depreciation rate.

In this question, we have that:

[tex]V(0) = 80000, r = 0.1[/tex]

So

[tex]V(t) = V(0)(1-r)^{t}[/tex]

[tex]V(t) = 80000(1-0.1)^{t}[/tex]

[tex]V(t) = 80000(0.9)^{t}[/tex]

Value of the car at the end of 3 years:

[tex]V(3) = 80000(0.9)^{3} = 58320[/tex]

The value of the car after 3 years is R$58.320.

O valor do carro ao final desse período é R$58.320.

Answer:

radius = [tex]\sqrt{34}[/tex]

Step-by-step explanation:

The radius r is the distance from the centre to a point on the circle.

Use the distance formula to calculate r

r = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (5, - 3)

r = [tex]\sqrt{(5-0)^2+(- 3-0)^2}[/tex]

  = [tex]\sqrt{5^2+(-3)^2}[/tex]

  = [tex]\sqrt{25+9}[/tex]

  = [tex]\sqrt{34}[/tex]

Answer:

There are 120 ways for their roles to be divided.

120 maneiras diferentes em que as cinco podem ocupar os cargos do grêmio estudantil.

Step-by-step explanation:

We want to arrange n people in n positions.

Since the number of objects(in this case, the people) is the same as the number of positions(in this case, the roles), we use the arrangments formula.

Arrangments formula:

The total number of possible arrangents of n elements is:

[tex]A_{n} = n![/tex]

In this question:

5 students, so

[tex]A_{5} = 5! = 120[/tex]

There are 120 ways for their roles to be divided.

120 maneiras diferentes em que as cinco podem ocupar os cargos do grêmio estudantil.

Answer:

-3 I think

Step-by-step explanation:

well 10-7=3 and 13-10=3

but since it is greater number first it would make it a -3

Answer:

The money you will have in 5 years: 1000 x (1 + 3/100)^5 = 1159.27$

Hope this helps!

:)

Answer:

89.98

Step-by-step explanation:

49.99 x 20% = 9.998

So, 20% of 49.99 is 10.

49.99 - 10 = 39.99 To get the Total of the discounted item.

49.99 + 39.99 = 89.98 Add final totals to get answer

Answer:

35/37

Step-by-step explanation:

In this question, we are to calculate the ratio that represents the cosine of angle O

Firstly, please check attachment for diagram of the triangle.

Mathematically, the trigonometric term Cos means the ratio of the length of the adjacent to that of the hypotenuse

The hypotenuse is the longest length which is 37 which represents the length ON

The side adjacent to angle O is the side OP which is 35

Thus, the ratio representing the cosine of angle O is 35/37

Answer:

8/15

Step-by-step explanation:

this is another answer, if you get these numbers

Answer:

The length of the diagonal is 13.90 inches

Step-by-step explanation:

This question can be remolded as calculating the length of the diagonal of a rectangle with dimensions 11 inches by 8.5 inches.

The diagonal refers to that length that runs from one inner edge of the rectangle to the other inner edge of the rectangle.

To calculate this length, we shall be making use of the Pythagoras’ theorem

Please check attachment for the kind of figure i’m trying to paint.

Let’s call the diagonal D

Using the Pythagoras’ theorem,

D^2 = 11^2 + 8.5^2

D^2 = 121 + 72.25

D^2 = 193.25

D = √193.25

D = 13.90 inches

Answer:

2:3

Step-by-step explanation:

15/25 are girls

10/25 are boys

10/25 to 15/25

2/5 : 3/5

2:3

Answer: it’s actually b for edge 2020

Step-by-step explanation:

The probabilities greatest for a standard normal distribution is

P(-0.5 SZ30.5) i.e. 38.2%

A special normal distribution where the mean is 0 and the standard deviation is 1. It is also called the z-distribution .

For the data given in the question

P(-1.5 575-0.5)

P(-0.5 SZ30.5)

P(0.5 5731.5)

P(1.5 523 2.5)

[tex]P_{r} (-1.5 \leq z \leq 0.5) = 0.092 +0.15=0.242\\\\P_{r} (-0.5 \leq z \leq 0.5)= 0.191+0.191= 0.382\\\\P_{r} (0.5 \leq z \leq 1.5)= 0.15+0.092=0.242\\P_{r} (1.5 \leq z \leq 2.5)= 0.044+0.017=0.061[/tex]

From the given data the second data is the highest 0.382 , so the correct answer is P(-0.5 SZ30.5).

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Answer: 10 - 2√21

Step-by-step explanation: I simplified your question by using an online calculator. :)

Answer:

ttt

htt

tht

tth

hht

thh

hth

hhh

these are the possible outcomes of the three outcomes

so probability of hhh = 1/8

The probability that the coin lands with the heads side up on all 3 flips will be 1/8.

Its fundamental concept is that someone will nearly surely occur. The proportion of positive events in comparison to the total of occurrences. Then the probability is given as,

P = (Favorable event) / (Total event)

Esme intends to record the outcomes of each flip of a fair coin as she tosses it three times. The likelihood that the coin will fall with the heads side up on all three flips is then determined to be:

P = (1/2) x (1/2) x (1/2)

P = 1/8

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Answer: 5184.

Step-by-step explanation:

You do 72 x 72.

The answer is 20%

If 50 is your 100%, take 100 and 90 for example it would be obvious that is it 10% off, so with 50 since it is half of 100 you double the 10% which will be 20%. :)

Answer:

-20% decrease

Step-by-step explanation:

40-50=-10

-10/50=-0.2

-0.2*100=-20%

Hope this helps.

Answer:

The velocity of money is 6.

Step-by-step explanation:

Nominal Gross Domestic Product is the Gross Domestic Product that has been determined by the current prices of goods and services in a market.

Money velocity expresses the rate at which money moves from one entity to another in a given economy. It it the ratio of the nominal Gross Domestic Product to the money supply in an economy.

      i.e                      V = [tex]\frac{P * Y}{M}[/tex]

where: V is the velocity of money, P x Y is the nominal GDP  i.e price level x output/real GDP, and M is the money supply. High velocity of money causes an increase in inflation.

Given that, nominal GDP = 2400 and money supply = 400, then;

               V = [tex]\frac{2400}{400}[/tex]

                  = 6

Therefore the velocity of money is 6.

Answer:]]

The slope of these two linear equations is the same so the would be Parallel.

y = mX + B where m is the slope.

In this case the slope is 1 for both equations.

y = x -2

y = x + 10

They would be exactly 12 units apart too.

Step-by-step explanation:

Answer:

c)5

Step-by-step explanation:

Coefficient is always the numerical value before the variable

I hope this helped and have a good rest of your day!