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katen-ka-za [31]
3 years ago
8

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?<br><br><br><br> 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]

<u>Complete Question</u>

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
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