find the volume of a right prism with base area 32 cm² and height 1.5 cm

Answer:

B

Step-by-step explanation:

since domain should be in positive i thinks this should be answer B

Answer:

i wish i knew im in the same situwantion

Step-by-step explanation:

Answer:

3 m

Step-by-step explanation:

[tex]\textsf{Volume of a cone}=\sf \dfrac{1}{3} b h \quad\textsf{(where b is the area of the circular base and h is the height)}[/tex]

Given:

[tex]\implies \sf 10=\dfrac{1}{3} \cdot 10 \cdot h[/tex]

[tex]\implies \sf 10=\dfrac{10}{3}h[/tex]

[tex]\implies \sf 30=10h[/tex]

[tex]\implies \sf h=\dfrac{30}{10}=3[/tex]

Answer:

height: 3 meter

Explanation:

[tex]\sf volume : \frac{1}{3} \ x \ base \ area \ x \ height[/tex]

Here given:

Solve:

[tex]\longrightarrow \sf 10 = \frac{1}{3} \ x \ 10 \ x \ h[/tex]

[tex]\longrightarrow \sf 10 = \frac{10}{3} \ x \ h[/tex]

[tex]\longrightarrow \sf \frac{10 \ x \ 3}{10} = h[/tex]

[tex]\longrightarrow \sf 3 = h[/tex]

Answer:

x = 43°

Step-by-step explanation:

In order to find the measure of angle x we'll use Vertical Angles Theorem.

Therefore, the measure of angle x is 43° ✓.

«•••••••••••••••••»

Hey mate ,

The ratio of Cylinder A to Cylinder B can be find by following steps ,

Volume of Cylinder A : Volume of Cylinder B

πr²h : πR²H

4 : 8 ( as π and radius can be cancelled because they are same on both the sides)

Ratio :- 1:2

The equation which can be used to find the minimum or maximum amount, c, of chocolate chips that he can weigh out will be:

 |C-78|=2.5

From the question, we have to determine the equation which can be used to find the minimum or maximum amount, c, of chocolate chips that he can weigh out.

Mathematically, it means:

|C-78|=2.5

Hene, the reqired equation will be  :|C-78|=2.5

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Answer:

1744.4

First, remove 13

13 and use length times width times height to get the surface area. 14 x 14 x 8.9

Answer:

Option (D) is correct.

Shyla spend $30.94 on the fabrics

Step-by-step explanation:

Shyla has a box with the dimensions of 7 inches, 11 inches, 8 inches. Since it has 3 sides thus, it is form of a cuboid.

Here Length (l) = 7 inches

Breadth (b) = 11 inches

Height (h) = 8 inches

Surface area of Cuboid = 2( lb +bh + hl )

Substitute the values, we get,

Surface area of Cuboid = 2( 7 × 11 + 11× 8 + 7 × 8 )

                                       = 2( 77 +88 +56)

                                       = 422 square inches.

Given: the fabric costs 7 cents per square inch = $0.07 per square inches.

Money  Shyla spend on the fabric = total area × cost of fabric per square inch

                                                      = 442 × 0.07

                                                      = $30.94

Thus,  Shyla spend $30.94 on the fabrics.

So , Option (D) is correct.

Answer:

see the attachment.

i hope this can help you!

The fractions on the number line are 1/8, 2/8, 3/8, 4/8, 5/8, 6/8, 7/8

The range of the number line is given as:

Range = 1/8 to 7/8

Using an increment of 1/8, the fractions on the number line are:

1/8, 2/8, 3/8, 4/8, 5/8, 6/8, 7/8

Next, we plot the number line where the above fractions are placed on the number line

See attachment for the required number line.

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Answer: 21 is b. 22 is c

Step-by-step explanation: do u need explanation.. because the questions are multiple choice???

2 tons + 10 pounds = 4,010 pounds

4 tons + 10 pounds = 8,010 pounds

Step-by-step explanation:

2,000 POUNDS EQUALS 1 TON.

a.) 2 tons = 2,000 X 2 = 4,000 pounds

4,000 pounds + 10 pounds = 4,010 pounds

2 tons + 10 pounds = 4,010 pounds

b.) 4 tons = 2,000 X 4 = 8,000 pounds

8,000 pounds + 10 pounds = 8,010 pounds

4 tons + 10 pounds = 8,010

Explanation:

Perimeter of the base = 8+10+15+7+23+17 = 80 meters

The 23 is from 8+15 = 23 and it is the length along the back wall, while the 10+7 = 17 is the length along the left side wall. Both the sides of 23 and 17 are hidden from view. The height of 5 meters is not part of the perimeter of the base.

Multiply the perimeter of the base by the height of the building to find the lateral area, aka wall area.

80*5 = 400 square meters

The true correct statements about the box-and-whiskers plot are:

In a box-and-whiskers plot, the interquartile range (IQR) is a measure of the spread of the data which shows the variability of the data.

Median of a data is the value at the point where the vertical line divides the rectangular box.

Median for Group A is between: 45 and 50

Median time for Group B is: 40.

Therefore, the three statements are:

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Step-by-step explanation:

To cover a rectangular region of her yard, Penny needs at least 217 square feet of sod. The length of the region is 15.5 feet. What are the possible widths of the region?

L=length=15.5 ft; W=width; A=area=>217 sq ft

L*W=>217 sq ft Divide each side by L

W=>217 sq ft/L

W=>217 sq ft/15.5 ft=>14 feet

ANSWER: To cover at least 217 sq ft. the width must be at least 14 feet.

Answer:

  at least 14 ft

Step-by-step explanation:

The area of the rectangular region is the product of its length and width. We are told the area must be at least some value.

  A = LW . . . . . . . . . area formula

  A ≥ 217 ft² . . . . . . . . . given constraint

  (15.5 ft)W ≥ 217 ft² . . . . . . substitute LW for A, use given length

  W ≥ 14 ft . . . . . . . . . . divide by 15.5 ft

The possible width of the region is at least 14 feet.

The area of the composite figure in the given diagram is calculated as: 152 square inches.

The area of a composite figure is gotten by decomposing the figure into known shapes and finding the area of each of the shapes.

The area of the figure = area of bigger rectangle + area of smaller rectangle = lw + lw

The area of the figure = (20)(6) + (8)(4)

The area of the figure = 152 in.²

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Answer:

28815.3333333

Step-by-step explanation:

Total balls: 6 + 4 + 3 = 13

First pick green = total green / total balls = 4/13

adter picking the first ball there are 12 balls left.

Picking red = total red/ total balls left = 6/12 = 1/2

probability of picking both = 4/13 x 1/2 = 4/26 = 2/13

answer: 2/13

Answer:

[tex]\sf \dfrac{1}{2}[/tex]

Step-by-step explanation:

Results from the slips of paper:

Total slips of paper = 16

[tex]\sf Proportion = \dfrac{part}{whole}[/tex]

[tex]\implies \textsf{Proportion of shoppers who were happy}=\sf \dfrac{8}{16}=\dfrac{1}{2}[/tex]

Answer:

1/2

Step-by-step explanation:

There are 16 responses

There are 8 people who said yes

P( happy) = yes/  total

P(happy) = 8/16 = 1/2

Use the general formula for decay substance

[tex]\\ \rm\Rrightarrow N=N_o(1-r)^t[/tex]

For our equation r=62%=0.62

So

function becomes

[tex]\\ \rm\Rrightarrow N=650(1-0.62)^t[/tex]

[tex]\\ \rm\Rrightarrow N=650(0.38)^t[/tex]

Change for a year

[tex]\\ \rm\Rrightarrow N=650(0.38)[/tex]

[tex]\\ \rm\Rrightarrow N=247g[/tex]

Amount decayed=650-247=403g

Daily decay

Percentage decay

[tex]\\ \rm\Rrightarrow \dfrac{1.1}{650}\times 100[/tex]

[tex]\\ \rm\Rrightarrow 0.169[/tex]

[tex]\\ \rm\Rrightarrow 16.9\%[/tex]

Answer:

$803

Step-by-step explanation:

17 + 33 + 23 = 73

73 * 11 = 803

Answer:

22 1/2

Step-by-step explanation:

1/4×6=1 1/2

3×7=21

21+1 1/2=22 1/2

Answer as a decimal = 22.5

Answer as a fraction = 45/2

===========================================================

Explanation:

Replace c with 6, and replace d with 7.

Then use the order of operations (PEMDAS) to simplify until you get a single number.

[tex]\frac{1}{4}c + 3d\\\\\frac{1}{4}(6) + 3(7)\\\\\frac{6}{4} + 21\\\\1.5 + 21\\\\22.5\\\\[/tex]

If you want to convert this to an improper fraction, then,

[tex]22.5 = 22 + 0.5\\\\22.5 = 22 + \frac{1}{2}\\\\22.5 = 22*\frac{2}{2} + \frac{1}{2}\\\\22.5 = \frac{44}{2} + \frac{1}{2}\\\\22.5 = \frac{44+1}{2}\\\\22.5 = \frac{45}{2}\\\\[/tex]

Answer:

The selling price is $3,125

Step-by-step explanation:

25% of 2500 is 2500 x 0.25 = 625

You will be adding the 25% gain to cost price to find the new price

2500 + 625 = 3125

Answer:

3125

Step-by-step explanation:

from the question,

25% simply means 25/100= 0.25

25% of 2500= 0.25×2500= 625

gain= 625

selling price= 625+2500= 3125

Answer:

(c) 112 ft/sec

Step-by-step explanation:

4 = 112.33 ft/sec = 112 ft/sec

Using the z-distribution, it is found that the 95% confidence interval is given by:

[tex]\overline{x} - 1.96\frac{\sigma}{\sqrt{n}}[/tex] to [tex]\overline{x} + 1.96\frac{\sigma}{\sqrt{n}}[/tex]

The confidence interval is:

[tex]\overline{x} \pm z\frac{\sigma}{\sqrt{n}}[/tex]

In which:

In this problem, we have a 95% confidence level, hence[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so the critical value is z = 1.96.

Hence, the interval is:

[tex]\overline{x} - 1.96\frac{\sigma}{\sqrt{n}}[/tex] to [tex]\overline{x} + 1.96\frac{\sigma}{\sqrt{n}}[/tex]

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Answer:

50 J

Step-by-step explanation:

According to energy conservative law energy can not be destroyed. So as the potential energy has been decreased to 50 J, the decreased amount has become kinetic energy.

100 - 50 = 50

Answer:

slope = 2

Step-by-step explanation:

Slope-intercept form of a linear equation:  [tex]y=mx+b[/tex]

(where m is the slope and b is the y-intercept)

Given equation:

[tex]3x + 6y = -54[/tex]

Rearrange the given equation to make y the subject:

[tex]\implies 6y=-3x=-54[/tex]

[tex]\implies y=-\dfrac{1}{2}x-9[/tex]

Therefore, the slope of the given equation is [tex]-\dfrac{1}{2}[/tex].

If two lines are perpendicular to each other, the product of their slopes will be -1.

Therefore, the slope (m) of the line perpendicular to the given equation is:

[tex]\implies -\dfrac{1}{2} \cdot m=-1[/tex]

[tex]\implies m=-1 \div -\dfrac{1}{2}[/tex]

[tex]\implies m=-1 \cdot-2[/tex]

[tex]\implies m=2[/tex]

Answer:

takes 40minutes from home to school and to home so the total time is 7:45 hrs,, arrive home at 3:45

The sample size for part (a) is 540, and the sample size for part (b) is 543 if the margin of error to be 0.05.

It is defined as an error that provides an estimate of the percentage of errors in real statistical data.

The formula for finding the MOE:

[tex]\rm MOE = Z\times \dfrac{s}{\sqrt{n}}[/tex]

Where   Z is the z-score at the confidence interval

            s is the standard deviation

            n is the number of samples.

We know:

[tex]\rm MOE = Z \times \sqrt{\dfrac{pq}{n}}[/tex]

We have MOE = 0.05, p = 46% = 0.46,

q = 1-p = 1-0.46 = 0.54

Z at 0.02(because 98% level of confidence) = 2.33

Plug this value in the formula we get:

[tex]\rm 0.05 = 2.33 \times \sqrt{\dfrac{0.46\times0.54}{n}}[/tex]

After solving:

n = 539.41 ≈ 540

If no estimate is given:

p = 0.5 and q = 0.5

[tex]\rm 0.05 = 2.33 \times \sqrt{\dfrac{0.5\times0.5}{n}}[/tex]

n = 542.89 ≈ 543

Thus, the sample size for part (a) is 540, and the sample size for part (b) is 543 if the margin of error to be 0.05.

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