Algebra Help?

Question

Question 1:
What is the height of a triangle with base 10.5 cm and area 96.075 cm2?
Enter a decimal number only.




cm
Question 2:
What is the length of the base of a triangle with height 13 cm and area 130 cm2?




cm


Question 3:
What is the height of a triangle with base 17 mm and area 93.5 mm2?




mm


Question 4:
What is the length of the base of a triangle with height 8 mm and area 44 mm2?




mm


Question 5:
What is the length of the base of a triangle with height 14.2 mm and area 173.24 mm2?
Enter a decimal.



mm


Question 6:
What is the length of the base of a triangle with height 26 mm and area 195 mm2?




mm


Question 7:
If the length of a rectangle is 9 1/3 m and the width is 2 2/3 m, what is the perimeter of the rectangle?




m


Question 8:
If the width of a rectangle is 4 1/3 m and the perimeter is 9 7/15 m, what is the length of the base of the rectangle?
Enter a fraction.




m


Question 9:
What is the base of a triangle with height 14 m and area 56 m2?




m


Question 10:
What is the height of a triangle with base 29.7 mm and area 201.96 mm2?

Enter a decimal.




mm


Question 11:
Amber drove to Connor's house at 43 mph. Connor's house is twenty-six miles away. How long did it take her to arrive at Connor's house? Express the following as a fraction.




hour
Question 12:
Samantha drove to Anna's house at 54 mph. Anna's house is sixty-eight miles away. Samantha arrived at Anna's house at 4:45 p.m. How long did it take her to get there (enter a fraction)?




hours
Question 13:
Timothy drove to the mall, which is ten kilometers away. It took him 1/3 hour to arrive. What was his average driving speed?




kph
Question 14:
Last year, Anna's speed in a bike race was 6 kph. She finished in 9 hours. What must be Anna's average speed if she is to finish the same distance in 4 hours this year?
Tip: use last year's information to get the race distance. Then use this with the new information.




kph


Question 15:
The distance from Philadelphia to Atlantic City is 100 miles. How long will it take to get there at 45 mph?
Please answer as a decimal rounded to the tenths place.



hours

Answer 1

You need to solve the problems on your own. You can use the following formulae
1. For the triangle problems
area of triangel = half base X height
i.e A = 1/2 x B x H

2. For rectangle problems
Perimeter = twice width plus twice length
i.e P = 2 x W + 2 x L

3 For distance / speed/ time problems

speed = distance divided by time
i.e S = D/T

Using these and substituting the values in your problems will give you all the answers

Answer 2

The formula for finding the area of a triangle is 1/2 X base X height. This can be written as: A = 1/2 X b X h. When you are trying to find the base(b) or the the height(h) you need to rearrange the formula. If you are trying to find the base, divide both sides of the formula by 1/2 and by h. Then A divided by 1/2h = b. To find height divide both sides of the formula by 1/2 and by b. Then A divided by 12b = h.

Answer 3

For increasing cubic binomials the final formula is as follows: (a + b) ^ 3 = a^3 + 3*a^2*b^a million + 3*a^a million*b^2 + b^3 on your case, a is x and b is -y^5 So (x - y^5)^3 = x^3 + 3*x^2*(-y^5)^a million + 3*x^a million*(-y^5)^2 + (-y^5)^3 Simplified: =x^3 - 3x^2*y^5 + 3x*y^10 - y^15 :D

Answer 4

I agree with Edge, all of your problems relate to the formulas....if you learn/memorize those...the rest is a lot easier. You'll have a lot of formulas to learn in Algebra...it's best if you try to learn them before things get even harder.

Perhaps if you write down formulas on 3x5 cards, you can go over them several times a day until you learn them. Have someone test you on them periodically to make sure you are memorizing them correctly.

Hang in there, it's a lot of work, but you'll be glad you put the extra time into it.