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3 years ago

Choose the correct simplification of (7x^3y^3)^2.

Mathematics

1 answer:

Tamiku [17]3 years ago

7 0

Answer: third option, 49x⁶y⁶

Justification:

1) Given: $(7x^3y^3)^2$

2) Property: power of a product

$(7)^2(x^3)^2(y^3)^2$

3) Property: power of power

$49x^6y^6$

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Kelly made 6 batches of cookies. Her friend asked her to make an extra batch . She used 17 1/4 cups of sugar and needs another 7

Bess [88]

Answer:

Kelly needs 24 3/4 cups of sugar altogether.

Step-by-step explanation:

7 0

3 years ago

A 20 foot ladder leaning against a wall is used to reach a window that is 17 feet above the ground. How far from the wall is the

Liono4ka [1.6K]

Answer:

The wall is 10.5 foot far from the bottom of the ladder.

Step-by-step explanation:

Given:

Height of the ladder leaning against wall (Hypotenuse) = 20 foot.

Height from where the window is above from the ground (Leg1) = 17 feet.

To find the distance of the bottom of the ladder far from the wall (Leg2) = ?

Now, by using the pythagorean theorem:

$Hypotenuse^{2} = (Leg1)^{2} + (Leg2)^{2}$

$20^{2} =17^{2}+(Leg2) ^{2}$

$400=289+(Leg2)^{2}$

$400-289=(Leg2)^{2}$

$111=(Leg2)^{2}$

by squaring both sides

$Leg2=10.535$

10.535 foot rounded nearest tenth is 10.5 foot.

Therefore, the wall is 10.5 foot far from the bottom of the ladder.

6 0

3 years ago

What is the value of x? Enter your answer in the box.

elixir [45]

X = 28, hope this helps

5 0

3 years ago

0.3(n-5)=0.4-0.2 solve for n!

mariarad [96]

Answer:

$n = 5.67$

Step-by-step explanation:

0.3(n-5)=0.4-0.2

0.3(n-5) = 0.2

Dividing 0.3 both side

$\frac{0.3(n-5) }{0.3} = \frac{0.2}{0.3}$

$n-5 = 0.67$

$n = 0.67+5$

$n = 5.67$

4 0

3 years ago

The triangles below are similar. Which similarity statements describe the relationship between the two triangles? Check all that

Gekata [30.6K]

Complete Question

In triangle ABC: AC=10 , AB=5., Angle C = 30 degrees.

In Triangle DEF: ED= 7.5 , DF=15, Angle F =30 degrees , Angle E = 90 degrees.

Answer:

A, D and E

Step-by-step explanation:

The diagram is drawn and attached below.

Triangle ABC is similar to Triangle DEF. (Option E)

Writing it backwards:

Triangle CBA is similar to Triangle FED. (Option A)

Also,

Triangle BAC is similar to EDF. (Option D).

Therefore, A, D and E are the similarity statements that describe the relationship between the two triangles.

5 0

3 years ago