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aliina [53]
2 years ago
12

Please help me with number 3 Thanks

Mathematics
1 answer:
blsea [12.9K]2 years ago
7 0

Answer:

x = 2.8

y = 2

Step-by-step explanation:

Reference angle = 45°

Opposite = 2

Hypotenuse = x

Adjacent = y

✔️To find x, apply the trigonometric function SOH:

Sin 45 = Opp/Hyp

Sin 45 = 2/x

x*Sin 45 = 2

x = 2/Sin 45

x = 2.82842712 ≈ 2.8 (nearest tenth)

✔️To find y, apply the trigonometric function TOA:

Tan 45 = Opp/Adj

Tan 45 = 2/y

y*Tan 45 = 2

y = 2/Tan 45

y = 2

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MariettaO [177]

Answer:

527 cubic meters

Step-by-step explanation:

The area of the cube would be 7.5^3 and the area of the rectangular prism would be 3.75*3.75*7.5. Then it would be 421.9 + 105.5 and rounded to the whole number the answer would be 527

5 0
2 years ago
Find the volume of a rectanglular prism if the length is x and the width is x^2 and the height is 5x^2 +4x+1. Use the formula v=
My name is Ann [436]

Answer:

The volume = 5x^{5}+4x^{4}+x^{3}

Step-by-step explanation:

* The rule of the volume of the rectangular prism:

- the volume of any prism = base area × height

∵ The base of the rectangular prism is rectangle

∵ Area any rectangle = Length × Width = l × w

∴ The volume of the rectangular prism = l × w × h

* In the problem:

∵ l = x , w = x² , h = 5x² + 4x + 1

∴ The volume = (x)(x²)(5x² + 4x + 1)

* We will simplify it

- Multiply x by x² and then multiply the answer by the bracket

∵ x × x² = x³

∴ x³(5x² + 4x + 1)

∵ x³ × 5x² = 5x^5

∵ x³ × 4x = 4x^4

∵ x³ × 1 = x³

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5 0
3 years ago
The sum of two numbers is 25. Their difference is 9. What are the two numbers?
Lynna [10]
Using x and y as the numbers

x+y=25 -------#1
x-y=9  -------#2

Using addition of #1 and #2
x+y+x-y= 25+9
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2x=34
x=17

Using the value of x and plugging said value into #1 or #2, we can find y
x=17

x+y=25
17+y=25
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OR

x-y=9
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-y=-8
y=8

The numbers are 8 and 17
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Answer:

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Step-by-step explanation:

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1/2 ÷3/1                  flip

1/2 x 1/3                multiply

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2 years ago
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