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SSSSS [86.1K]
3 years ago
12

Scott is using a 12 foot ramp to help load furniture into the back of a moving truck. If the back of the truck is 3.5 feet from

the ground, what is the horizontal distance from where the ramp reaches to the ground to the truck?
Mathematics
1 answer:
frosja888 [35]3 years ago
3 0

Answer:

11.48 feet.

Step-by-step explanation:

The ramp forms a Right triangle with ground and height of truck.

In the Right triangle, hypotenuse is 12 feet and height is 3.5 feet. We need to find horizontal base of right triangle.

We can use Pythagorean theorem that is given by :-

(Hypotenuse)² = (Base)² + (Height)²

(12)² = (Base)² + (3.5)²

144 = (Base)² + 12.25

(Base)² = 144 - 12.25

(Base)² = 131.75

(Base) = √131.75

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Find the quotient of n(x) = 6x^5y^7 and m(x) = 2x^3y
likoan [24]

Answer:

a.  Yes

b.  Yes

c. Yes

d. Degree 8

Step-by-step explanation:

a. Yes, n(x) is a polynomial of one single term (also called monomial) because it contains variables raised to positive integers.

b. Yes, m(x) is a polynomial of also one single term (also called monomial) because it contains variables raised to positive integers.

c. The quotient of n(x) / m(x) can be reduced to a polynomial of one single term as follows:

\frac{n(x)}{m(x)} =\frac{6\,x^5\,y^7}{2\,x^3\,y} =3\,x^2\,y^6

which as can be seen, also contains variables raised to positive integers.

d. The degree of the polynomial resultant is the addition of the powers of all variables present (x and y) which results in: 2 + 6 = 8

Therefore the degree of this polynomial is 8.

6 0
4 years ago
A Tom bought these 3 t shirts at the sale price of $ 14. 50. How much money did he save compared to the original total of the t
lidiya [134]

Answer:

$2.47

14.6%

Step-by-step explanation:

Total of the original prices:

$3.99 + $6.99 + $5.99 = $16.97

He paid $14.50 for the 3 shirts.

$16.97 - $14.50 = $2.47

He saved $2.47.

The percent he saved is

2.47/16.97 × 100% = 14.6%

5 0
3 years ago
The area of a rectangular-shaped garden can be no more than 64 square feet. If the length of the garden is 16 feet, what could b
Klio2033 [76]

Answer:

4 square feet

Step-by-step explanation:

Area = Length * Width

64 = 16 * W.

W = 4.

So, 4 square feet.

Mark me as Brainliest if this is correct! I really appreciate it! :D

8 0
3 years ago
The population of a town is 81,712 and declines continuously at a rate of 4.1% each year. What is the approximate population of
Ganezh [65]
Data:

P (Final population) = ?
Po (Initial population) = 81712
r (rate) = 4,1% = 0,041
t (time in years) = 17

P = Po - (Po*r*t)
P = 81712 -(81712*0,014*17)
P = 81712 - 56953.264
P =24758.736
\boxed{P \approx 24759}

Answer:
B) 24759

4 0
4 years ago
Which equation best represents this situation? The number 88 is equal to a number divided by 11. A. 88 = 11g B. 88 = 11 + g C. 8
miv72 [106K]
The answer is D. 88=g/11

4 0
3 years ago
Read 2 more answers
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