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artcher [175]
2 years ago
9

Find the missing length

Mathematics
1 answer:
olga55 [171]2 years ago
4 0

Answer:

θ ≈ 36.03°

Step-by-step explanation:

We can use tangent (opposite side / adjacent side) for this question:

tan (θ) = 8 / 11

θ = tan⁻¹ (8/11)

θ = 36.02737339

θ ≈ 36.03°

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3x-4y+6=0 solve for y
DiKsa [7]

Answer: y=3/4x+3/2

Step-by-step explanation:

Let's solve for y.

3x−4y+6=0

Step 1: Add -3x to both sides.

3x−4y+6+−3x=0+−3x

−4y+6=−3x

Step 2: Add -6 to both sides.

−4y+6+−6=−3x+−6

−4y=−3x−6

Step 3: Divide both sides by -4.

−4y/−4= −3x−6/−4

y=3/4x+3/2

5 0
2 years ago
A group of engineers is building a parabolic satellite dish whose shape will be formed by rotating the curve y=ax 2 about the y-
Setler79 [48]

Answer:

a = \frac{1}{2}. Surface Area = \frac{4}{3}ft^{2}. and area of the Dish = \frac{4}{3}ft^{2}+pi4^{2} = \frac{4}{3}ft^{2}+50.27=51.6ft^{2}

Step-by-step explanation:

(1) Constant. y(x) = ax^{2} that is the curve that we need to rotate around the y axis to get the parabola with diameter of 8 feet and 2 meter depth that statement is translated in mathematics as x = -4 to 4 and y = 0 to 2.

y max = 2, x max = 4 setting up a equation with a unknown gives

2=a4 and  a = \frac{1}{2}.

so we have now.

y(x) = \frac{1}{2}x^{2} (Done with solving for a Constant).

(2) Surface Area.

Setting Up surface integral.

(i) range in x = 0 to 4.

(ii) range in y = 0 to 2.

integral is.

Integral(0-2)[{integral[(0-4)\frac{1}{32}x^{2}]}]dy

Evaluating this integral gives. \frac{4}{3}ft^{2}.

and area is surface area + area of the circle with 8ft diameter.

= \frac{4}{3}ft^{2}+pi4^{2} = \frac{4}{3}ft^{2}+50.27=51.6ft^{2}...

Note the Difference between area and aurface area.!

6 0
3 years ago
Simplify.<br> 2u? - 20u +42<br> u² – 5u+6
chubhunter [2.5K]

Answer:

The simplified expression is:

\frac{2(u + 7)}{(u- 2)}

Step-by-step explanation:

We want to simplify:

\frac{2 {u}^{2}  - 20u + 42}{ {u}^{2}  - 5u + 6}

We factor the numerator and the denominator to get:

\frac{2(u - 3)(u + 7)}{(u- 2)(u- 3)}

Cancel out u-2 which is common to the numerator and the denominator yo get:

\frac{2(u + 7)}{(u- 2)}

5 0
2 years ago
Add me on Playstation NathanTheSnail for 200 points! Please.
mars1129 [50]

Answer:

You aren't even giving 200 points.

Step-by-step explanation:

4 0
3 years ago
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2/8=__x1/8. i need help plssssssssssss
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Answer:

2

Step-by-step explanation:

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