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Elina [12.6K]
4 years ago
13

Can someone help please

Mathematics
1 answer:
Margaret [11]4 years ago
7 0
9. Area of a triangle is proportional to height. If the height increases by a factor of 4, then ...
  The area will increase by a factor of 4. . . . . (2nd selection)

10. The base lengths and height are needed:
  • 5 mm
  • 8 mm
  • 10 mm
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A passenger train left Chicago and traveled toward Elkhart at an average speed of 29 mph. A freight train left 2.4 hours later a
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29*2.4-36.5= 33.1 hrs before the freight train cought up.
5 0
3 years ago
Jeff bicycles 126 miles at the rate of r mph. The same trip would have taken 2 hours longer if he had decreased his speed by 4 m
weqwewe [10]

Given Information:

Distance = 160 miles

Required Information:

Rate = r = ?

Answer:

Rate = r = 20 mph

Step-by-step explanation:

Recall that the rate is given by

Rate = distance/time

r = \frac{d}{t} \\\\t = \frac{d}{r} \\\\t = \frac{160}{r} \\\\

It is given that the same trip would have taken 2 hours longer if he had decreased his speed by 4 mph.

Mathematically,

\frac{160}{(r-4)} = \frac{160}{r} + 2 \\\\

Simplify the equation

\frac{160}{(r-4)} - \frac{160}{r} = 2 \\\\\frac{160r - 160(r-4)}{r(r-4)} = 2 \\\\\frac{160r - 160r+640)}{r(r-4)} = 2 \\\\160r - 160r+640 = r(r-4) (2) \\\\640 = r(r-4) (2) \\\\640 = (r^2 - 4r) (2) \\\\640 = 2r^2 - 8r \\\\2r^2 - 8r-640 =0 \\\\2(r^2 - 4r-320) =0 \\\\r^2 - 4r-320 =0 \\\\

Now we are left with a quadratic equation.

We may solve the quadratic equation using the factorization method  

r^2 - 4r-320 =0 \\\\r^2-20r+16r-320=0 \\\\r(r-20)+16(r-20)=0 \\\\(r-20) (r+16)=0 \\\\

So,

(r-20) = 0 \\\\r = 20 \\\\

OR

(r+16)=0 \\\\r = -16 \\\\

Since rate cannot be negative, discard the negative value of r

Therefore, the rate is

r = 20 \: mph

3 0
4 years ago
A package is in the shape of a triangular prism. The bases are right triangles with perpendicular legs measuring 9 cm and 12 cm.
Y_Kistochka [10]

Answer:

I think that the answer is either A or C. I'm not too sure on which one.

Step-by-step explanation

8 0
3 years ago
What does -2.3f +0.4f-13-5 equal?
koban [17]

Answer:

-1.9f-18

Step-by-step explanation:

Evaluate like terms. (0.4f-2.3f) & (-13-5)

-2.3f+0.4f-13-5 = -1.9f-18

6 0
3 years ago
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