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3 years ago

Please give the correct answer and no links!

Mathematics

1 answer:

Studentka2010 [4]3 years ago

3 0

Answer:

KL ≈ 16.6 ft

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos25° = $\frac{adjacent}{hypotenuse}$ = $\frac{MK}{KL}$ = $\frac{15}{KL}$ ( multiply both sides by KL )

KL × cos25° = 15 ( divide both sides by cos25° )

KL = $\frac{15}{cos25}$ ≈ 16.6 ft ( to the nearest tenth )

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At a large nursery, a border for a rectangular garden is being built. Designers want the border’s length to be 5 feet greater th

Salsk061 [2.6K]

Let

x--------> the border’s length

y--------> the border’s width

P--------> perimeter of the border

we know that

x=5+y------> equation 1

P=2*[x+y]-----> P=2x+2y

P <=180 ft

(2x+2y) <= 180-------> equation 2

substitute the equation 1 in equation 2

2*[5+y]+2y <= 180

10+2y+2y <= 180

4y <= 180-10

4y <=170

y <=42.5 ft

the maximum value of the width is 42.5 ft

for y=42.5 ft

x=42.5+5------> x=47.5 ft

the answer is

the width of the border is less than or equal to 42.5 ft

6 0

3 years ago

A person can order a new car with a choice of 13 possible colors, with or without air conditioning, with or without automatic tr

Gnoma [55]

Answer:

208

Step-by-step explanation:

13 options for colours = 13C1 = 13

AND

2 options for A/C = 2C1 = 2

AND

2 options for transmission = 2C1 = 2

AND

2 options power windows = 2C1 = 2

AND

2 options for CD player = 2C1 = 2

So,

13×2×2×2×2 = 208

3 0

3 years ago

Evaluate the function f(x) at the given numbers (correct to six decimal places).

statuscvo [17]

Answer:

The values of given function are shown in the below table.

Step-by-step explanation:

The given function is

$f(x)=\frac{x^2-5x}{x^2-x-20}$

Simplify the given function.

$f(x)=\frac{x(x-5)}{x^2-5x+4x-20}$

$f(x)=\frac{x(x-5)}{x(x-5)+4(x-5)}$

$f(x)=\frac{x(x-5)}{(x+4)(x-5)}$

Cancel out the common factor.

$f(x)=\frac{x}{x+4}$

Substitute x=5.5 in the above equation.

$f(5.5)=\frac{5.5}{5.5+4}$

$f(5.5)=\frac{5.5}{9.5}$

$f(5.5)=0.57894736842$

$f(5.5)\approx 0.578947$

Similarly find the value for all values of x.

The values of given function are shown in the below table.

8 0

3 years ago

What should Equation B be multiplied by in order to eliminate the y variable in the system?

german

Multiply equation B by 5

5 0

3 years ago

The sum of the lengths of any two sides of a triangle must be greater than the third side. If a triangle has one side that is 18

kogti [31]

Answer: One side could be 18 and the other side will be 33.

Step-by-step explanation:

Side #1 = 18
Side #2 = 2x - 3
Side #3 = x

One way of setting up the inequality is: Side #2 + Side #3 > Side #1

$2x-3+x>18\\3x-3>18\\3x>18+3\\3x>21\\x>7$

Another way of setting up the inequality is: Side #1 + Side #3 > Side #2

$18+x>2x-3\\18+3>2x-x\\x$

Final way of setting up the inequality is: Side #1 + Side #2 > Side #3

$18+2x-3>x\\15>x-2x\\15>-x\\x>-15$

Therefore, we have the range for our value of x, which is between 7 and 21. Any possible value between works. Negative measurements are rejected. One of the sides would equal the x-value, while the other side would equal the value of 2x-3.

3 0

3 years ago