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kondaur [170]
3 years ago
10

I need help please?

Mathematics
1 answer:
Lapatulllka [165]3 years ago
6 0
It would be D because the division symbol represents subtraction when your expanding a fraction like this one. Hope that helped.
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Two people start from the same point. One walks east at 4 mi/h and the other walks northeast at 8 mi/h. How fast is the distance
kvasek [131]

Answer:

5.89 mi/h

Step-by-step explanation:

This problem can be solved by using different methods. I will use vectors since it's the simplest way in which we can solve it. This can be solved by using related rates of change though.

First, we start by drawing a diagram with the velocity vectors.

A= velocity of the first person

B= velocity of the second person

C= velocity in which they are moving away from each other.

Since there is no acceleration in the problem, we can suppose we are talking about constant speeds, so the velocity at which they are moving away from each other will always remain constant. (It doesn't matter what time it is, the velocity will always be the same)

Having said this we can solve this problem by using the components, by using law of cosines or graphically. I will use law of cosines. The idea is to find the length of side c.

Law of cosines:

C^{2}=A^{2}+B^{2}-2ABcos \gamma

so we can solve the formula for C so we get:

C=\sqrt{A^{2}+B^{2}-2ABcos \gamma}

and now we can substitute the values we know:

C=\sqrt{(4)^{2}+(8)^{2}-2(4)(8)cos 45^{o}}

C=\sqrt{16+64-32\sqrt{2}}

C=\sqrt{80-32\sqrt{2}} mph

if we want an exact answer, then that will be the exact answer, which approximates to:

C=5.89 mph

4 0
3 years ago
Identify the independent variable and the dependent variable.
melamori03 [73]

Answer:

no

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
Jason is 5 foot 11 inches tall. Amy is 63 inches tall. Who's taller and by how much 1 foot = 12 inches
jok3333 [9.3K]
Since 1 foot = 12 inches,
5 feet x 12 inches = 60 inches
Jason would be 60 inches + 11 inches tall which would = 71 inches.

71 inches is greater than 63 inches.
And 71 in -63 in= 8 in.
Therefore, Jason is taller by 8 inches
3 0
3 years ago
Read 2 more answers
Use the equation to answer the following question.
blagie [28]

Answer:

A line with a positive slope that crosses the x-axis at a positive value

Step-by-step explanation:

it would be A because it would be going through quadrant 1 and 5 which has positive values as there divider

8 0
3 years ago
A shipping carton has the shape of a cube with an edge length of 0.4 m.
lbvjy [14]

Answer:

0.064m^{3}  

Step-by-step explanation:

Given :

A shipping carton has the shape of a cube with an edge length of 0.4 m.

To Find:What is the volume of the shipping carton?

Solution:

Since the carton is in the shape of cube

So, we will use he formula of volume of cube

Formula of volume of cube =x^{3}

Where x is the edge of the cube

Since we are given the edge of carton is 0.4m

So, volume of carton =(0.4)^{3}

                                   =0.064m^{3}  

Hence the volume of the shipping carton is  0.064m^{3}  

5 0
3 years ago
Read 2 more answers
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