Sarah has at most $150 to spend on materials the cost will be $4.00 per linear foot of fencing

If one side of a right triangle is 12 feet long and the hypotenuse of the triangle is 7, find the length of the other side of th

Andreas93 [3]

Answer:

9.74 feet

Step-by-step explanation:

the formula for finding a hypotenuse is $a^{2} + b^{2} = c^{2}$ . We can rearrange that to get: $c^2 - b^2 = a^2$ . So: 49 + b^2 = 144. We get the square root of 95, AKA around 9.74.

8 0

4 years ago

some friends went to a local movie theater and bought four large buckets of popcorn and six boxes of candy.The total for the sna

WARRIOR [948]

The total of 2 buckets of popcorn and 3 boxes of candy would be $23.25

To answer this question you need to form a set of simultaneous equations and solve them. We can do this by saying that a bucket of popcorn = P, and a box of candy = C. Then we can say:

4P + 6C = 46.50

P + C = 9.75

There are then two possible ways to solve; you can either say that C = 9.75 - P using the second equation and then substitute it into the first, or you can multiply the second equation by either 4 or 6 to cancel out P or C.

I’m going to multiply the second equation by 4:

4P + 4C = 39

Now we can subtract this for, the first equation:

4P + 6C = 46.50

4P + 4C = 39

2C = 7.50

C = 3.75

Now we can substitute this value of C into one of the equations to find P:

P + C = 9.75

P + 3.75 = 9.75

P = 6

And now to answer the question, you just multiply P by 2 and C by 3 and add them together, which gives you $23.25

I hope this helps! Let me know if you have any questions :)

6 0

3 years ago

A cylinder and a cone have the same measurements for height and radius. The cylinder has a volume of 45 cm ^ 3 . What is the vol

sweet [91]

Answer:

91,125

Step-by-step explanation:

4 0

3 years ago

A large stamp book has 8 pages and each page has 8 stamps.A small stamp has 6 pages and each page has 4 stamps.If francois buy 1

IrinaVladis [17]

Answer:

88

Step-by-step explanation:

8*8=64

6*4=24

64+24=88

88 stamps

8 0

4 years ago

The total stopping distance T for a vehicle is T = 2.5x + 0.5x 2 , where T is in feet and x is the speed in miles per hour. Appr

Kobotan [32]

Answer:

% change in stopping distance = 7.34 %

Step-by-step explanation:

The stooping distance is given by

$T = 2.5 x + 0.5 x^{2}$

We will approximate this distance using the relation

$f (x + dx) = f (x)+ f' (x)dx$

dx = 26 - 25 = 1

T' = 2.5 + x

Therefore

$f(x)+f'(x)dx = 2.5x+ 0.5x^{2} + 2.5 +x$

This is the stopping distance at x = 25

Put x = 25 in above equation

2.5 × (25) + 0.5× $25^{2}$ + 2.5 + 25 = 402.5 ft

Stopping distance at x = 25

T(25) = 2.5 × (25) + 0.5 × $25^{2}$

T(25) = 375 ft

Therefore approximate change in stopping distance = 402.5 - 375 = 27.5 ft

% change in stopping distance = $\frac{27.5}{375}$ × 100

% change in stopping distance = 7.34 %

6 0

3 years ago