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3 years ago

Can someone please help me out?

Mathematics

1 answer:

maw [93]3 years ago

4 0

Answer:

Step-by-step explanation:

To find the volume of the prism, we'll find the area of the base and multiply it by the height. The base is a triangle, so its area is 1/2 * 6 * 5 = 15. The height is 11, so the total volume is 15 * 11 = A) 165 ft³. Hope this helps!

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I need help on this problem

Arte-miy333 [17]

Answer: $QR=4.04$

Step-by-step explanation:

For this exercise you must use the followinG Trigonometric Identity:

$tan\alpha=\frac{opposite}{adjacent}$

In this case, given the right triangle PQR, you can identify that:

$\alpha=60\°\\opposite=PR=7.0\\adjacent=QR$

Then, the next step is to substitute those values into $tan\alpha=\frac{opposite}{adjacent}$ :

$tan(60\°)=\frac{7.0}{QR}$

And the final step is to solve for "QR" in order to find its value.

So you get that this is:

$(QR)(tan(60\°))=7.0\\\\QR=\frac{7.0}{tan(60\°)}\\\\QR=4.04$

6 0

3 years ago

Write 1,360/200 as a reapeating decimal

julia-pushkina [17]

Answer:

6.8

Step-by-step explanation:

did it

3 0

3 years ago

Help!!

Morgarella [4.7K]

Answer: median

Step-by-step explanation:

8 0

3 years ago

Factorize:<br>(2a - b)² - (a - 2b)²

bagirrra123 [75]

Answer:

3(a - b)(a + b)

Step-by-step explanation:

Factorize: (2a - b)² - (a - 2b)²

Different of Perfect a Square rule: a² - b² = (a + b)(a - b)

(2a - b)² - (a - 2b)² = [(2a - b) + (a - 2b)] × [(2a - b) - (a - 2b)]

1. Distribute and Simplify:

Distribute the (+) sign on the first bracket and simplify: [(2a - b) + (a - 2b)] → 2a - b + a - 2b → (3a - 3b)

Distribute the (-) sign on the first bracket and simplify: [(2a - b) - (a - 2b)] → 2a - b – a + 2b → (a + b)

We now have:

(3a - 3b)(a + b)

2. Factor out the Greatest Common Factor (3) from 3a - 3b:

(3a - 3b) → 3(a - b)

3. Add "(a + b)" back into your factored expression:

3(a - b)(a + b)

Hope this helps!

7 0

2 years ago

Read 2 more answers

Need help finding measure of angle R.

Hunter-Best [27]

Answer:

B.) 113°

Step-by-step explanation:

In the isosceles trapezoid, angles T and S are congruent. Find the value of x:

$4x+7=7x-38$

Subtract 4x from both sides:

$4x-4x+7=7x-38-4x\\7=3x-38$

Add 38 to both sides:

$7+38=3x-38+38\\45=3x$

Divide both sides by 3:

$\frac{45}{3}=\frac{3x}{3}\\\\ 15=x\\\\x=15$

x is equal to 15. Now substitute the value of x into the one of the expressions:

$4(15)+7\\60+7\\67$

$7(15)-38\\105-38\\67$

The angles T and S are 67°.

The angles of a trapezoid will always add up to a total of 360°, so add the angles T and S:

$67+67=134$

Subtract their total from 360:

$360-134=226$

The total of the angles Q and R is 226°. Since this is an isosceles trapezoid, those two angles are also congruent. Divide the value by 2:

$\frac{226}{2}= 113$

Angle R is 113°.

Done.

7 0

3 years ago