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klio [65]
3 years ago
15

Evan’s family drove to a theme park for vacation. Assume they drove the same speed throughout the trip. The first day, they drov

e 300 miles in 6 hours. The second day, they drove 250 miles in 5 hours. The third day, they arrived at the park by driving ________ miles in 3 hours.
A. 30
B. 125
C.150
D.100
Mathematics
1 answer:
kykrilka [37]3 years ago
7 0
I say it’s c.150 because 6 hours is 300 then 5 hours is 250 so you’re subtracting 50 for 1 less hour, so 4 hours would be 200 that makes 3 hours 150

got it? hope that’s not too confusing
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A post is supported by two wires (one on each side going in oppositedirections) creating an angle of 80° between the wires. The
Vladimir [108]

Using the Sine rule,

\frac{\sin A}{A}=\frac{\sin B}{B}=\frac{\sin C}{C}\begin{gathered} \text{Let A = 14m,} \\ Substituting the variables into the formula,Where the length of the wires are, AP = xm and BP = ym[tex]\begin{gathered} \frac{\sin80^0}{14}=\frac{\sin40^0}{x} \\ \text{Crossmultiply,} \\ x\times\sin 80^0=14\times\sin 40^0 \\ Divide\text{ both sides by }\sin 80^0 \\ x=\frac{14\sin40^0}{\sin80^0} \\ x=9.14m \end{gathered}

Hence, the length of wire AP (x) is 9.14m.

For wire BP (y)m,

Sum of angles in a triangle is 180 degrees,

A^0+P^0+B^0=180^0\begin{gathered} \text{Where A}^0=\text{ unknown,} \\ P^0=80^0\text{ and,} \\ B^0=40^0 \\ A^0+80^0+40^0=180^0 \\ A^0+120^0=180^0 \\ A^0=180^0-120^0 \\ A^0=60^0 \end{gathered}

Using the side rule to find the length of wire BP,

\begin{gathered} \frac{\sin 60^0}{y}=\frac{\sin 80^0}{14} \\ \text{Crossmultiply,} \\ y\times\sin 80^0=14\times\sin 60^0 \\ \text{Didive both sides by }\sin 80^0 \\ y=\frac{14\times\sin 60^0}{\sin 80^0} \\ y=12.31m \end{gathered}

Hence, the length of wire BP (y) is 12.31m

Therefore, the length of the wires are (9.14m and 12.31m).

4 0
1 year ago
Can someone explain to me how to do this exercise?
kolbaska11 [484]
Hi
You should put into them.I mean
1-This is 2 part.First, you should put f(-1) then you should put what you found.
Solve is:f(-1)=3(-1)-2(-1)^2 so -3-2=-5 then put in other one:if f(-5):-15-50=-65
Is it correct? 
4 0
2 years ago
Which is the value of g(−5) if g(x)=3.4x−8?
Usimov [2.4K]
I believe it is 9
The given function :
To find the value of g(5) , we need to substitute (Using substitution property) the value of x= 5 in the above function.
Now, put x= 5 in g(x), we get
5 0
3 years ago
Quante’ had 15.3 feet of fishing line. He cut off a piece and had 3.2 inches left. How long was the piece he cut off?
Licemer1 [7]

Answer:

180.4 inches (15.033 feet)

Step-by-step explanation:

To solve this, we convert 15.3 feet to inches. We do this by multiplying 15.3 by 12. This gets us 183.6. Now, we subtract 3.2 from 183.6. This gets us 180.4. That means the piece cut off of 180.4 inches long. To convert this to feet, we divide by 12. That gets us 15.033. That means the piece cut off is 180.4 inches long, or 15.033 feet long.

6 0
3 years ago
Given the slope of a graph is 5 and the y-intercept is -2, identify the correct equation in slope-intercept form.
julia-pushkina [17]

Answer: y=-2x+5

Step-by-step explanation:

I am not sure if this is exactly what you are asking but all you have to do is plug the variables into the formula y=mx+b

Which should give you the above answer of y=-2x+5

8 0
3 years ago
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