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IrinaK [193]
2 years ago
5

If a square root parent function is vertically stretched by a factor of 6, what is

Mathematics
1 answer:
natita [175]2 years ago
5 0

Parent function = √x

On stretching vertically by factor of 6

New function G(x) = 6√x

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Find the value of all angles
o-na [289]

Answer:

Step-by-step explanation:

This means that <C and <F are congruent.

So 2x - 15 = x + 15             Add 15 to both sides

2x-15+15=x+15+ 15

2x = x + 30                        Subtract x from both sides

2x-x=x-x+30

x = 30  

I've taken the bottom 2 angles to be equal. The lettering says they

are

3 0
2 years ago
In a park,a sidewalk is built around the edge of a circular pond.The sidewalk is 7 feet wide,and the pond measure 15 feet across
densk [106]

Answer:

91.14 feet

Step-by-step explanation:

Given:

In a park,a sidewalk is built around the edge of a circular pond.

The sidewalk is 7 feet wide, and the pond measure 15 feet across.

Question asked:

What amount of railing would be needed to go completely around the outer edge of the sidewalk?

Solution:

From distance from one edge of the pond to the another =  15 feet

That means diameter of the pond = 15 feet

And width of the sidewalk = 7 feet all around

combined diameter = 15 + 7 + 7 = 29 feet

Radius,r = \frac{Diameter}{2} =\frac{29}{2} ==14.5\ feet

That means distance between outer edge of the sidewalk to the center of the circular pond = 14.5 feet

Now, we will have to find circumference of outer circular edge of sidewalk:

Circumference\ of\ circle=2\pi r

                                        =2\times\frac{22}{7} \times14.5\\ \\ =\frac{638}{7} \\ \\ =91.14\ feet

Therefore, 91.14 feet would be needed to go around the outer edge of the sidewalk.

7 0
3 years ago
A grocer has two kinds of candies: one sells for 90 cents per pound and the other sells for 40 cents per pound. How many pounds
Stels [109]

Answer:

45 lbs of 90 cent candies and 5 lbs of 40 cent candies

Step-by-step explanation:

5 0
3 years ago
A lawyer drives from her​ home, located 2 miles east and 3 miles north of the town​ courthouse, to her​ office, located 5 miles
LekaFEV [45]
Let <span>the town​ courthouse be the origin of coordinate plane, the positive direction of x-axis is west and negative direction is east, the positive direction of y-axis is north and negative direction is south. Then a lawyer home has coordinates (-2,3) and lawyer office has coordinates (5, -21).
</span>
Use the distance formula d= \sqrt{(x_1-x_2)^2+(y_1-y_2)^2} to get the <span>distance between lawyer's home and office:
</span><span>
</span><span /> d=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}=\sqrt{(-2-5)^2+(3-(-21))^2}=
=\sqrt{7^2+24^2}  =  \sqrt{49+576} =  \sqrt{625} =25.
Answer: 25 miles.

7 0
3 years ago
a parent donated 36 fruit cups and 24 bananas to the fifth grade. The teacher wanted to make field trip snack bags with donated
Katyanochek1 [597]

Answer:

24

Step-by-step explanation:

put one fruit cup and banana in each bag

6 0
1 year ago
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