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2 years ago

Is 60% greater than 5/9

Mathematics

1 answer:

Aleks04 [339]2 years ago

8 0

60% = 60/100 = 6/10 = 54/90

5/9 = 50/90

so its false because 60% smaller than 5/9

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To the nearest tenth of a second, how much time would it take the penny to hit the

lyudmila [28]

B. 0.6 seconds

Because they want you to round to the nearest 10th and 0 is the ground.

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2 years ago

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The spray from a sprinkler reaches 21 feet from the sprinkler and creates a circle as it spins. What is the

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Answer:

66ft

Step-by-step explanation:

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Can you solve what is 5 x 1 2/3

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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

1 year ago

Use the multiplication property of exponents to determine if each statement is true or false.

lisabon 2012 [21]

1)
LHS:
${a}^{4} \times {a}^{3} \times a \\ = {a}^{4 + 3 + 1} \\ = {a}^{7}$
LHS = RHS. So, the statement is true

2)
LHS:
${5}^{2} \times {3}^{4} \\ = 25 \times 81 \\ = {5}^{2} \times {9}^{2} \\ = {45}^{2}$
LHS not equal to RHS. So, the statement is false

3)
LHS:
${x}^{6} \times {x}^{0} \times {x}^{2} \times {x}^{3} \\ = {x}^{6 + 0 + 2 + 3} \\ = {x}^{11}$
LHS = RHS. So, the statement is true.

4)
LHS:
$7 {m}^{2} \times 2m \times 4 {m}^{5} \\ = (7 \times 2 \times 4) {m}^{2 + 1 + 5} \\ = 56 {m}^{8}$
LHS = RHS. So, the statement is true.

7 0

2 years ago