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Anton [14]
1 year ago
10

Madeline drove 180 miles in 4 hours. If she drove at a constant rate, how far did shetravel in one hour?On the double number lin

e below, fill in the given values, then use multiplication ordivision to find the missing value.

Mathematics
1 answer:
Tcecarenko [31]1 year ago
8 0

We have a question on motion with the elements of distance, time taken and speed.

This question in particular is asking us for distance per unit time (in this case, hours).

We are required to find out how much distnace is covered in on hour and our approach will be as follows:

\text{Speed= }\frac{\text{Distance}}{\text{time}}=\frac{180\text{miles}}{4\text{hours}}=\frac{45\text{ miles}}{1\text{ hour}}

This right here just tells us that 4 hours, Madeline covered 180 miles and since her rate was constant (equal distances in equal times), then she also covered 45 miles in an hour.

Now we plot our number line.

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Lines AB and CD are parallel. Find the measures of the three angles in triangle ABF.
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Answer:

42 Degrees

Step-by-step explanation:

Angle ABF is parallel to the angle DCF

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The figure shown models a roof truss. Based on the markings, is there enough information to prove that ΔACD ≅ ΔBCD?
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C

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2 years ago
What is x^4+25 factored
OLga [1]

(x^2+5)(x^2-5)

I hope this helps :)

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3 years ago
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What is the simplified form of the quantity y-squared plus 7y plus 12 over the quantity y-squared plus 8y plus 15
Burka [1]
Firstly, let's factorise each equation individually - to do this, find 2 numbers that when summed add to the value of the second term, and when multiplied give the value of the third term.

7 and 12 give us 4 and 3 (4+3=7, 4*3=12) -- 8 and 15 give us 5 and 3 (5+3=8, 5*3=15)

Now we can rewrite these equations as (y+4)(y+3) and (y+5)(y+3) respectively.

Putting this in a fraction: (y+4)(y+3)/(y+5)(y+3) -- We can clearly see that there is a y+3 on both sides of the fraction, and given there are no terms outside of the brackets being multiplied, we can directly cancel.

This gives us our final answer:
(y+4)/(y+5)
8 0
3 years ago
2V2 km<br> 2 km<br> X<br> A) 2V5 km<br> C) 2 km<br> B) 2V3 km<br> D) 4 km<br> HELP PLEASEE
Rasek [7]

Answer:

x=2\sqrt3\ km

Step-by-step explanation:

Given that,

The base of a triangle = 2 km

The perpendicular height of the triangle = 2\sqrt{2} \ km

We need to find the value of x. It is the Hypotenuse of the triangle. It can be solved as :

x=\sqrt{(2\sqrt{2})^2+2^2 } \\\\=2\sqrt{2+1 } \\\\=2\sqrt3\ km

So, the value of x is equal to 2\sqrt3\ km.

3 0
3 years ago
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