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3 years ago

5 STARS!!!

Mathematics

1 answer:

Ksivusya [100]3 years ago

5 0

Since it is given that Boris takes x minutes to run 5 miles it means that Boris' speed will be given as: $\frac{5}{x}$ .

Now, if Dylan runs slower than Boris and takes 12 more minutes to complete the 5 miles run, then that would mean that Dylan takes (x+12) minutes to complete the same run.

In this case we can see the Dylan's speed will be $\frac{5}{x+12}$ .

Thus, the denominator represents the time Dylan takes to run 5 miles if he takes 12 minutes more than Boris.

Therefore, out of the given options, the second option is the correct option.

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NO LINKS!!! Part 2: Find the Lateral Area, Total Surface Area, and Volume. Round your answer to two decimal places.

slava [35]

Answer:

<h3><u>Question 7</u></h3>

<u>Lateral Surface Area</u>

The bases of a triangular prism are the triangles.

Therefore, the Lateral Surface Area (L.A.) is the total surface area excluding the areas of the triangles (bases).

$\implies \sf L.A.=2(10 \times 6)+(3 \times 6)=138\:\:m^2$

<u>Total Surface Area</u>

Area of the isosceles triangle:

$\implies \sf A=\dfrac{1}{2}\times base \times height=\dfrac{1}{2}\cdot3 \cdot \sqrt{10^2-1.5^2}=\dfrac{3\sqrt{391}}{4}\:m^2$

Total surface area:

$\implies \sf T.A.=2\:bases+L.A.=2\left(\dfrac{3\sqrt{391}}{4}\right)+138=167.66\:\:m^2\:(2\:d.p.)$

<u>Volume</u>

$\sf \implies Vol.=area\:of\:base \times height=\left(\dfrac{3\sqrt{391}}{4}\right) \times 6=88.98\:\:m^3\:(2\:d.p.)$

<h3><u>Question 8</u></h3>

<u>Lateral Surface Area</u>

The bases of a hexagonal prism are the pentagons.

Therefore, the Lateral Surface Area (L.A.) is the total surface area excluding the areas of the pentagons (bases).

$\implies \sf L.A.=5(5 \times 6)=150\:\:cm^2$

<u>Total Surface Area</u>

Area of a pentagon:

$\sf A=\dfrac{1}{4}\sqrt{5(5+2\sqrt{5})}a^2$

where a is the side length.

Therefore:

$\implies \sf A=\dfrac{1}{4}\sqrt{5(5+2\sqrt{5})}\cdot 5^2=43.01\:\:cm^2\:(2\:d.p.)$

Total surface area:

$\sf \implies T.A.=2\:bases+L.A.=2(43.01)+150=236.02\:\:cm^2\:(2\:d.p.)$

<u>Volume</u>

$\sf \implies Vol.=area\:of\:base \times height=43.011193... \times 6=258.07\:\:cm^3\:(2\:d.p.)$

8 0

2 years ago

The base of a rectangular prism has an area of 26.25, and the height of the prism is 4.5. What is the volume? Round to the neare

kramer

The right answer is 118.

Look at the attached picture

Hope it will help you....

Good luck on your assignment.

4 0

3 years ago

Read 2 more answers

Mr. Lopez wrote the equation 32g+8g-10g=150 on the board. Four students explained how to solve for g. Alyssa: “I added 32 and 8

Vaselesa [24]

Answer:

Wilhem

Step-by-step explanation:

The given equation is

$32g+8g-10g=150$

Step 1 : Add 32g and 8g.

$(32g+8g)-10g=150$

$(32+8)g-10g=150$

$40g-10g=150$

Step 2: Subtract 10 from 40.

$(40-10)g=150$

$30g=150$

Step 3: Divide both sides by 30, find the value of g.

$\frac{30g}{30}=\frac{150}{30}$

$g=5$

The value of g is 5.

Therefore, Wilhem is correct.

7 0

3 years ago

Read 2 more answers

What is 7x6 like 7 rows of 6 collums

Darina [25.2K]

I guess it's 42
Hope it's helpful for you

7 0

3 years ago

H=-5 and w=2, work out the value of 4h-3w

olganol [36]

You would simply have to plug in, or substitute, the given values in the equations.

So, H=-5, W=2 and the problem is 4h-3w

To plug them in, your new equation would be 4(-5)-3(2) and simplify. So it becomes -20-6 which = -26.

And -26 would be your answer.

3 0

3 years ago

Read 2 more answers