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3 years ago

Find the equation of the line through point (10,4) and parallel to 3x+5y=8.

1 answer:

8 0

Parallel = same slope
Find slope of 3x + 5y = 8
Turn into y = mx + b
5y = -3x + 8
Divide by 5
y = -3/5x + 8/5
Slope is -3/5
Y = -3/5x + b, find y intercept
Plug in the point
4 = -3/5(10) + b
4 = -6 + b, b = 10
Final equation: y = -3/5x + 10

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9. Explain how to identify the opposite and adjacent legs of a given acute angle.

Luba_88 [7]

Answer:

Step-by-step explanation:

In an acute angle, the side facing an angle is always termed Opposite

whereas the other side usually not the longest though is the Adjacent. take for example both sides have an angle, the value of the angle you want to use, the side directly facing it is called Opposite, whereas the other side usually not the longest though is the Adjacent

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3 years ago

Can you help me please?

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Answer:

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Step-by-step explanation:

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2 years ago

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From the 9 male and 8 female sales representatives for an insurance company, a team of 4 men and 3 women will be selected to at

inessss [21]

Select 4 from 9, and 3 from 8. Multiply together.
C(9,4)*C(8,3)
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3 years ago

The world's tallest building is the Burj Khalifa in Dubai at 828 m tall. The CN Tower in Toronto is 553 m tall. Ryan wants to co

Taya2010 [7]

Answer:

Volume of Burj Khalifa Prism = 4000 $cm^2$

Volume of CN Tower Prism = 2671 $cm^2$

Step-by-step explanation:

Given

Height of Burj Khalifa = 828 m

Height of CN Tower in Toronto = 553 m

Base of rectangular prism is a square with sides 10 cm $\times$ 10 cm.

Height of Burj Khalifa prism = 40 cm

828 m is represented as 40 cm

$\Rightarrow 553 m$ is represented as $\frac{40}{828 } \times 553 = 26.71\ cm$

So, height of rectangular prism of CN Tower = 26.71 cm

Volume of a Prism is given by the Formula:

$V=Area\ of\ Base \times Height$

Base is a square, so Area of base = $Side^2$

Volume of Burj Khalifa Prism:

$V_B=10^2 \times 40 = 4000\ cm^2$

Volume of CN Tower Prism:

$V_C=10^2 \times 26.71 = 2671\ cm^2$

So, the answer is:

Volume of Burj Khalifa Prism = 4000 $cm^2$

Volume of CN Tower Prism = 2671 $cm^2$

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2 years ago

A jet is coming in for a landing. It's currently 25,000 feet in

Mariana [72]

The angle of depression is 29.0521°. So it is a safe landing.

Step-by-step explanation:

Step 1:

The plane is flying at a height of 25,000 feet and 45,000 feet away from the landing strip. Assume it lands with an angle of depression of x°.

So a right-angled triangle can be formed using these measurements. The triangle's opposite side measures 25,000 feet while the adjacent side measures 45,000 feet. The angle of the triangle is x°.

To determine the value of x, we calculate the tan of the given triangle.

$tanx = \frac{opposite side}{adjacent side}.$

Step 2:

The length of the opposite side = 25,000 feet.

The length of the adjacent side = 45,000 feet.

$tan x = \frac{25,000}{45,000} = 0.5555.$

So x = 29.0521°. Since x < 30°, it is a safe landing.

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3 years ago