Six and a half hours at a speed of 45 mph. 45 mph is forty five miles per hour. since there are six full hours, multiply six (time) by speed (45) to get the distance within the six full hours, which is 270 miles. you also have an additional half hour at a 45 mph speed, so rather than going 45 miles in one hour, you for half an hour, meaning you go 22.5 miles. add these two together (270 + 22.5) to get 292.5 miles. a faster way to get to this would be to multiply 6.5 * 45. hole this helps!
A = p + prt
The above equation can be solved for “r” in such a
way.
Subtract “p” from both sides;
A – p = p + prt – p
A – p = prt
Divide both sides by “p” and “t”;
A/pt – p/pt = prt/pt
A/pt – 1/t = r
Or
<span>r = A/pt – 1/t</span>
Problem 1
<h3>Answer:
104 cubic inches</h3>
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Explanation:
The prisms are similar so they have the same shape, but different sizes.
The linear scale factor from small to large is:
large/small = 10/4 = 2.5
Meaning that we multiply each dimension of the smaller prism by 2.5 to get the corresponding side length of the larger prism
4*2.5 = 10
This linear scale factor is then cubed to get the volume scale factor
(2.5)^3 = 15.625
Which tells us:
larger volume = 15.625*(smaller volume)
smaller volume = (larger volume)/15.625
smaller volume = (1625)/15.625
smaller volume = 104 cubic inches
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Problem 2
<h3>Answer: 650 square inches</h3>
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Explanation:
We will go back to the linear scale factor of 2.5
This time, we square it to get (2.5)^2 = 6.25
This is the surface area scale factor.
larger surface area = 6.25*(smaller surface area)
larger surface area = 6.25*(104)
larger surface area = 650 square inches
Answer:
Step-by-step explanation:
(x+2)/2 = 0
x + 2 = 0
x = -2
(y - 3)/2 = 2
y - 3 = 4
y = 7
(-2, 7)
Answer:
Step-by-step explanation:
The degree of polynomial is the sum of exponents of the variables involved in the expression,hence the given degree is
2+3=5,so 5 is the degree of the polynomial.
