you need to put a, b, c, d in the right four spots

With this prism, first separate it into a rectangular prism and a right triangle prism.

First, with the rectangular prism, it would have the units 5 * 5 * 6.3. Then with the right triangle prism, it would take the rest of the remaining space of it, being 3 * 5 * 6.3

The equation for the volume of a rectangular prism is L*W*H and the equation for the volume of a right triangle prism is (L*W*H) / 2.

With this, plug the numbers in for both prisms to get the volume of each of them:

Rectangular prism Volume

5*5*6.3

157.5

Right triangle prism Volume

(3*5*6.3) / 2

94.5 / 2

47.25

Lastly, combine these two values to get the total volume:

157.5 + 47.25 = 204.75 (Round Up) -->

204.8 cm^3 = Total Volume

Next, with the surface area of the prism. For this, lets combine all of the faces of the prism then add them all up.

First, lets do the bottom of the prism, or the base. It uses the lengths 8 cm and 6.3 cm. Lets do L * W to get the area of this face:

8 * 6.3 = 50.4

Next, lets do the slant side of it, which has the lengths 5.8 and 6.3.

5.8 * 6.3 = 36.54

Then, the top side with the lengths 5cm and 6.3 cm.

5.3 * 6.3 = 33.39

After that, the left side face that opposite to the slantly one:

5 * 6.3 = 31.5

Saving the most tedious part of it for last, the right trapezoids. Luckily, there is an equation for this:

1/2 x (Sum of parallel sides) x (perpendicular distance between the parallel sides).

So, within each of these right trapezoids, there's the parallel sides of 5 and 8. There's also a perpendicular side of 5cm. With this, we can plug this into the equation to solve for this part:

1/2 x (5+8) * (5)

1/2 x (13) * (5)

1/2 x (65)

32.5

Since there's two of them, times this by 2:

32.5 * 2 ---> 65.

Now, with the area of all of the faces, these can be added up for the total surface area:

50.4 + 36.54 + 33.39 + 31.5 + 65 ---> 216.83 (Round Down)-->

216.8 cm^2 = Total Surface Area

Answer:

10.35

Step-by-step explanation:

He has $300 (15x$20). He spends 144.75. He has 155.25 in total. That leaves 10.35 (155.25/15) to spend on each student.

Answer:

$21.60

Step-by-step explanation:

O.40 × 3.00 = 1.2

1.2 × 18 = 21.6

$21.60 was the owners profit yesterday.

Answer:

B

Step-by-step explanation:

Answer:

x - 89.95 ≤ 30.05= x ≤ 120

add 89.95 to both sides of the equation. Since on the right side 89.95 is already there it cancells eachother out leaving x. After adding 89.95 to 30.05 you should get an answer of 120.

The money Sarah's dad wants to spend in all if Sarah's dad bought her a scooter that costs $89.95, He can spend up to $30.05 on a helmet, which is less than or equal to $120, x ≤ 120.

Inequality is a relationship that compares two numbers or other mathematical expressions in an unequal way. Inequalities are the name given to certain algebraic mathematical expressions.

Given:

Sarah's dad bought her a scooter that cost $89.95,

He can spend up to $30.05 on a helmet,

Assume the x is the money Sarah's dad wants to spend in all,

Write the inequality as shown below,

x - 89.95 ≤ 30.05

Solve the inequality by adding 89.95 on both sides,

x - 89.95  + 89.95   ≤ 30.05 + 89.95  

x ≤ 120

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Answer:

700 words

Step-by-step explanation:

280: 4

x:10

280/4 = x/10

4times x is equal to 4x and 280 times 10 is equal to 2800

4x=2800

2800 divided by x is 700.

The answer is 700 words per 10 minutes.

Answer:

b

Step-by-step explanation:

Answer:

55

Step-by-step explanation:

Answer:

104 in

Step-by-step explanation:

Answer:

Following are the responses to the given question:

Step-by-step explanation:

[tex]H_o : p =0.31\\\\H_a: p \neq 0.31\\\\n = 8606 \\\\ p^ = 0.32[/tex]

[tex]TS = \frac{(p^ - p)}{\sqrt{(\frac{pq}{n})}}[/tex]

      [tex]= \frac{(0.32-0.31)}{\sqrt{(\frac{0.31\times 0.69}{8368})}}\\\\=\frac{0.01}{5.4}\\\\=0.00185\\\\[/tex]

Answer:

-64

Step-by-step explanation:

By looking at the numbers, we can identify that this is a geometric sequence and the ratio would be 2. The formula to find the nth term in a geometric series is:

[tex]t *r^{n-1}[/tex]

where t is the first term and r is the ratio. We can substitute in the information we know:

[tex]-\frac{1}{2} *2^{n-1}[/tex]

We are looking for the eighth term, so we substitute 8 where n is:

[tex]-\frac{1}{2}*2^{8-1}[/tex]

We can simplify:

[tex]-\frac{1}{2}*2^7[/tex]

[tex]-2^6[/tex]

[tex]-64[/tex]

Answer: 20 cm²

Step-by-step explanation:

Answer:

147 degrees

Step-by-step explanation:

all the angles of a triangle add up to 180 degrees. so, you must perform the operation 180-(83+64) which equals 33. this is the angle supplementary to angle 1. to find angle 1, you must subtract 180 and 33 since supplementary angles add up to 180 degrees. this is equal to 147 degrees.

Answer:

the answer is x = 0

Step-by-step explanation:

Cancel equal terms on both sides of the equation:

[tex]5x = 0[/tex]

Divide both side of the equation by 5.

[tex]x = 0[/tex]

Therefore, the answer is x = 0

Answer:

5x - 10 = -10

+10 +10

5x = 0

divide by 5 on both sides:

x = 0

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

Work Shown:

We'll apply these log rules

[tex]\text{Log Rule 1: } \ \ \ \ln\left(\frac{x}{y}\right) = \ln(x) - \ln(y)\\\\[/tex]

[tex]\text{Log Rule 2: } \ \ \ \ln\left(x^y\right) = y\ln(x)\\\\[/tex]

These log rules can be used for logs of any base, and not just natural logs.

[tex]z = \ln\left(\frac{\sqrt{x}}{y}\right)\\\\z = \ln\left(\sqrt{x}\right)-\ln\left(y\right) \text{ ... Use log rule 1}\\\\z = \ln\left(x^{1/2}\right)-\ln\left(y\right)\\\\z = \frac{1}{2}\ln\left(x\right)-\ln\left(y\right) \text{ ... Use log rule 2}\\\\z = \frac{1}{2}u-v\\\\[/tex]

Therefore,

[tex]\ln\left(\frac{\sqrt{x}}{y}\right) = \frac{1}{2}u-v\\\\[/tex]

when [tex]u = \ln(x) \ \text{ and } \ v = \ln(y)\\\\[/tex]

Answer:

79 hours

Step-by-step explanation:

(5×1 )(5 1/2 ×3 )(6×4 )(6 1/2 × 3)( 7×2)= 79 hours

To find the property tax, you would multiply the mill rate by 0.01

To find the property tax, you would multiply the assessed value of the property by the mill rate.

Given that the assessed value is $225,000 and the mill rate is 14.5, we need to multiply these two values to calculate the property tax.

Property Tax = Assessed Value × Mill Rate

Property Tax = $225,000 × 14.5

To simplify the calculation, we can convert the mill rate to a decimal by dividing it by 1,000.

Mill Rate = 14.5 ÷ 1000 = 0.0145

Property Tax = $225,000 × 0.0145

Property Tax = $3,262.50

Therefore, to find the property tax, you would multiply the mill rate by 0.01 (option c).

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Answer: b

Step-by-step explanation: on edge

Answer: C. 30 StartRoot 3 EndRoot

Step-by-step explanation:

Took the test/exam

Answer:

5 complete scarves

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Total yarn = (amount of yarn per scarf) (amount of scarfs)

(8/9) = (1/6) (amount of scarfs)

amount of scarfs = (8*6)/9 = 48/9 = 5. 33333, so the amount of complete handkerchiefs she can make is 5.

Answer:

It will cost $532 to paint the barn

Step-by-step explanation:

First we need to find the area of the barn's walls.

2 (length x height) + 2 (width x height)

=2 (80x30) + 2 (50x30)

=2 (2400) + 2(1500)

=4800+3000

=7800 ft^2

Now we can find the amount of gallons needed, then the total cost.

7800 ft^2/420 ft^2  

=18.57 gallons

=19 gallons  

19 gallons x $28

=$532

Answer:

520

Step-by-step explanation:

Area:

[tex]2(80*30) + 2(50*30) = 7800[/tex]

Price

[tex]\frac{7800}{420}*28 = 520[/tex]

Answer:

8

Step-by-step explanation:

You only have 8 socks and its a combination of both socks and t-shirts.  Hope this helps!

Answer:

80

Step-by-step explanation:

10*8=80