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3 years ago

The right triangle shown has angles x, y, and z and side lengths a, b, and

Mathematics

1 answer:

tekilochka [14]3 years ago

7 0

(You forgot to provide the choices!?!)

A.) Cos Z = b/c

B.) Sin X= c/b

C.) Tan X = b/a

D.) Tan Z = a/b

B is the answer, Sin X = c/b is wong because Sin X= b/c ( sin = opposite/ hypotenuse)

Hope this helps.!

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How do you work out interior angles?

Anvisha [2.4K]

If 2 lines are congruent alternate interior angles are congruent

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3 years ago

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Find the area of the region that lies under the parabola y=5x - x^2, where 1≤x≤4. I would definitely like to see some work :)

Elena L [17]

Answer:

16.5 square units

Step-by-step explanation:

You are expected to integrate the function between x=1 and x=4:

$\displaystyle\text{area}=\int_1^4{(5x-x^2)}\,dx=\left.\left(\dfrac{5}{2}x^2-\dfrac{1}{3}x^3\right)\right|_{x=1}^{x=4}\\\\=\dfrac{5(4^2-1^2)}{2}-\dfrac{4^3-1^3}{3}=37.5-21=\boxed{16.5}$

<em>Additional comment</em>

If you're aware that the area inside a (symmetrical) parabola is 2/3 of the area of the enclosing rectangle, you can compute the desired area as follows.

The parabolic curve is 4-1 = 3 units wide between x=1 and x=4. It extends upward 2.25 units from y=4 to y=6.25, so the enclosing rectangle is 3×2.25 = 6.75 square units. 2/3 of that area is (2/3)(6.75) = 4.5 square units.

This region sits on top of a rectangle 3 units wide and 4 units high, so the total area under the parabolic curve is ...

area = 4.5 +3×4 = 16.5 . . . square units

4 0

2 years ago

Q. Fine Floors can install 15 square yards of carpeting in 4 hours and 30 minutes. At this rate, how

creativ13 [48]

It takes 5.22 hours to install carpeting in a room

Step-by-step explanation:

At first lets find the relation between yard, feet and inch

1. 1 yard = 3 feet

2. 1 foot = 12 inches

3. 1 yard = 36 inches

Let us change all measures to inches

∵ 1 yard = 36 inches

∴ 1 yard² = (36)² inches²

- Fine Floors can install 15 square yards of carpeting in 4 hours and

30 minutes

∵ 15 yard² = 15 × (36)² inches²

∴ 15 yards² = 19440 inches²

∵ 1 hour = 60 minutes

∴ 30 minutes = 30/60 = 0.5 hour

∴ 4 hours and 30 minutes = 4.5 hours

∴ Fine Floors can install 19440 inches² in 4.5 hours

∵ The dimensions of the room are 11 feet 9 inches by 13 feet 4 inches

∵ 1 foot = 12 inches

∴ 11 feet 9 inches = 11 × 12 + 9 = 141 inches

∴ 13 feet 4 inches = 13 × 12 + 4 = 160 inches

∴ The area of the room = 141 × 160 = 22560 inches²

Now lets use the ratio method to answer the question

⇒ area of carpeting (in²) : time of carpeting (hr)

⇒ 19440 : 4.5

⇒ 22560 : h

By using cross multiplication

∴ 19440 h = 4.5 × 22560

∴ 19440 h = 101520

- Divide both sides by 19440

∴ h = 5.22 hrs

It takes 5.22 hours to install carpeting in a room

Learn more:

You can learn more about the rate in brainly.com/question/13053630

#LearnwithBrainly

8 0

3 years ago

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What’s the answer to the problem?

aleksandr82 [10.1K]

Answer:

Step-by-step explanation:

if you do the checker method then you would find that

they add up to make a line which equals 180

so... the equation is (8x-7)+(x+16)=180

do the math and x=19

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2 years ago

What is b for this equation 4b+5=1+5b

aleksley [76]

<h3><u>The value of b is equal to 4.</u></h3>

4b + 5 = 1 + 5b

Subtract 4b from both sides.

5 = 1 + b

Subtract 1 from both sides.

4 = b

6 0

3 years ago