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2 years ago

Harvey practiced the piano for 5/8 hour.Annika practiced the piano for 5/6 of an hour.

Mathematics

2 answers:

Yuri [45]2 years ago

6 0

1 11/24 is the answer for 5/8 +5/6

Vanyuwa [196]2 years ago

3 0

If you want to know what this is simplified or who did more what you do is you find the least common denominator AKA (LCD) In this case it's 48. This means that Harvey practiced piano for 30/48 of an hour and Annika practiced for 40/48.

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20 POINTS! If the right triangular prism shown has a volume of 36 cubic centimeters, what is the height of the triangular base o

const2013 [10]

Answer:

B. 2

Step-by-step explanation:

3*6*2 = 36

if this is correct would you mind giving me a crown? :)

have a good day.

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2 years ago

Read 2 more answers

How many times does X squared minus 4X -12 cross the X axis

kolbaska11 [484]

We can solve this problem using discriminant.

x^2-4x-12's discriminant is

(-4)^2-4*-12=16+48 which is clearly larger than 0

This means that it crosses over the axes 2 times.

In case you don't know what discriminant is, its in equation ax^2+bx+c

the discriminant is b^2-4ac.

If its positive it has 2 crosses with x axis, if negative then 0 crosses, if 0 then 1 cross.

Hope this helped at least a little bit :D

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2 years ago

PLEASE HELPPPPPPBobby took out a single loan for $500 and paid a $50 fee. His loan is due in 1 week. Find the effective interest

satela [25.4K]

Answer:

He took a loan of $500 and paid a fee of $50 on the loan. This means that #500 divided by $50 =10%

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3 years ago

Find the value of x.

mario62 [17]

Answer:

x = 5

Step-by-step explanation:

15 - 10 = x

5 0

2 years ago

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

1 year ago