Help me please. I don't understand.

Answer:

10.58 feet

Step-by-step explanation:

Hello!

If you think about how it would look in life you will notice that it looks like a right triangle which means we can use the Pythagorean theorem to find the far the ladder needs to be from the house.

The Pythagorean theorem is [tex]a^{2}+ b^{2}= c^{2}[/tex]

a is a leg

b is the other leg

c is the hypotenuse

Since the ladder has to go from the ground to the window ledge it is the hypotenuse and the window ledge is a leg

Put in what we know

[tex]a^{2} +12^{2} =16^{2}[/tex]

Now we solve for a

Simplify

a^2 + 144 = 256

Subtract 144 from both sides

a^2 = 112

Take the square root of both sides

a = 10.583

The answer is 10.58 feet

Hope this helps!

Answer:

11 ft

Step-by-step explanation:

Try to imagine it or draw it out to help you. The ladder is 16 feet long and the window ledge is 12 feet high, so this is a right triangle.

The ladder is the hypotenuse, so use the given values in the pythagorean theorem.

a^2 + b^2 = c^2

12 + b^2 = 16

b = 11

12^2 + 11^2 = 16^2

1 44 + 121 = 265

√265 = 16

Answer:

xy = [tex]\frac{2}{5}[/tex]

Step-by-step explanation:

Given the reciprocal of x is 0.25, that is [tex]\frac{1}{4}[/tex] then

x = [tex]\frac{1}{\frac{1}{4} }[/tex] = 4

Given the reciprocal of y is 10 then

y = [tex]\frac{1}{10}[/tex]

xy = 4 × [tex]\frac{1}{10}[/tex] = [tex]\frac{4}{10}[/tex] = [tex]\frac{2}{5}[/tex]

Answer:

2/5=0.4

Step-by-step explanation:

[tex]\frac{1}{x}\\[/tex]=0.25 ==> x=4

[tex]\frac{1}{y}\\[/tex]=10    ==> y=1/10

Now multiply both x and y

xy=4(1/10)=2/5=0.4

The equations

[tex]x = r*\cos(\theta)\\\\y = r*\sin(\theta)[/tex]

are useful to convert from polar to Cartesian

So,

[tex]x = r*\cos(\theta)\\\\x = r*\cos\left(\frac{\pi}{3}\right)\\\\x = r*\frac{1}{2} \ \text{ use unit circle} \\\\x = \frac{1}{2}r[/tex]

Answer:

$ 79600

Step-by-step explanation:

interest=prt   (p is the amount borrowed, r is the rate, t is the time)

p=60000 , r=8%=0.08  , t=4 years

interest=60000*0.08*4

A=19600

the amount paid at the end of 4 years: 60000+19600=$79600

Answer:

Angle DAB is 29°.

Step-by-step explanation:

The lines in the two angles show that they are equal.

So angle DAB is equal to angle CAD.

m∠DAB is 29°

Given:

m∠CAD = 29°

From the image given showing ΔABC, the two angles, ∠CAD and ∠DAB are congruent to each other. This is indicated in the diagram with each single stroke on each angle.

Congruent angles are equal to each other.

∠CAD and ∠DAB are congruent angles.

Thus,

m∠CAD = m∠DAB = 29°

Therefore, m∠DAB is 29°

Learn more about congruent angles here:

https://brainly.com/question/5218184

Answer:

25 miles

Step-by-step explanation:

We need to convert 30 minutes to hours

30 minutes * 1 hour/ 60 minutes = .5 hours

distance = speed x time

distance = 50 mph * .5 hours

             = 25 miles

Answer: 36

Step-by-step explanation:

The top and bottom of the parallelogram both have lengths of 8.

To determine the length of the parallel diagonal sides, form a right triangle using the left side of the parallelogram as its hypotenuse (in red in my diagram below).

The right triangle has legs of length 6 and 8, so the length of the hypotenuse (c) is:

6^2 + 8^2 = c^2

36 + 64 = c^2

100 = c^2

c = 10

Thus the two diagonal sides of the parallelogram must both have a length of 10, so the perimeter of the parallelogram is 8 + 10 + 8 + 10 = 36.

Answer:

-9

Step-by-step explanation:

Two negatives when adding them together make a negative.

Answer:

(-5)+(-4) = -9

Step-by-step explanation:

-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1

<------------

Answer:

  B

Step-by-step explanation:

The square of 1 is 1, so 1 is less than the square root of 3.

The square of 2 is 4, so 2 is more than the square root of 3.

The point that lies between 1 and 2 is the best approximation of √3.

Answer:

B

Step-by-step explanation:

Answer:

-216

Step-by-step explanation:

6*9= 54

54* (-4) = -216

Answer:

B

Step-by-step explanation:

Any number, regardless of its sign, raised to an even power will always be positive. Therefore, a⁷² will be positive. We know that -3/7 is negative, and since a positive times a negative is negative, the answer will be negative.

Answer:

[tex]k=4[/tex]

Step-by-step explanation:

So we have the graphs of f(x) and g(x).

And we know that g(x) is defined as  f(kx), where k is some constant.

First, from the graph we can note two points:

For g(x), we have the point (1,10) and for f(x), we have the point  (4,10).

In other words:

[tex]g(1)=10[/tex]

And since we know the g(x) is f(kx), this means that:

[tex]g(1)=10\\g(1)=10=f(1(k))=10[/tex]

And we know the for f(x) to be 10, the initial value is 4. Therefore:

[tex]f(1(k))=10=f(4)\\1k=4\\k=4[/tex]

Therefore, the value of k is 4.

Answer:

[tex]\huge \boxed{k=4}[/tex]

Step-by-step explanation:

The graph of g(x) crosses the point (1, 10).

The graph of f(x) crosses the point (4, 10).

So, g(1) = 10. The x (input) is 1. The output is 10.

f(4) = 10. The x (input) is 4. The ouput is 10.

g(1) = f(4)

g(x) = f(k ⋅ x)

g(1) = f(k ⋅ 1)

f(k ⋅ 1) = f(4)

k ⋅ 1 = 4

k = 4

Answer:

1,680

Step-by-step explanation:

If the population is increasing by 60 for the next 13 years, we must multiply 60 and 13 to get 780.

Then, we just add 780 to the original population to get 1,680!

The enrollment after 13 years will be 1680.

We have a whose school population is predicted to increase by 60 students per year for the next 13 years. Current enrollment in that school is 900 ​students.

We have to determine the enrollment be after 13 ​years.

Initial count = x

Count increasing per second = 5

Assume that the bacteria count after t seconds is y. Then -

y = x + 5t

for t = 30 ↔ y = 150 + x

According to question, we have -

Initial population P(i) = 900

Assume the population after the n years is P(n).

Number of students enrolled in 'n' years will be = 60n

Therefore, the following equation can be used -

P(n) = P(i) + 60n

For n = 13 years

P(13) = 900 + 60 x 13 = 900 + 780 = 1680

Hence, the enrollment after 13 years will be 1680.

To solve more questions on equation modelling visit the link below -

brainly.com/question/20876878

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Answer:

<o=180-132=48

so,<s=24(The angle at the circumference is half of its corresponding angle at center)

Answer: False!

This equation is in slope - intercept form, where y = mx + b. B is the y - intercept and m is the slope. They got the location of the y - intercept right, but they forgot to add the negative. It's actually -8.

Hope this helps!

The y-intercept is -8 as the minus always stays with the number to the right of it

Answer:

0 < k < 2

Step-by-step explanation:

In the first quadrant both of x and y get positive values, so

And replacing x with 2k in the second equation:

Since y > 0:

Combining both k > 0 and k < 2, we get:

Answer:

  0 < k < 2

Step-by-step explanation:

The intersection will lie in the first quadrant when the solution has the characteristics: x > 0, y > 0.

For x > 0, we require ...

  x = 2k

  x > 0

  2k > 0 . . . . substitute for x

  k > 0 . . . . . divide by 2

__

For y > 0, we require ...

  y = (12 -3x)/2

  y = (12 -3(2k))/2 = 6 -3k . . . . . substituted for x and simplify

  y > 0

  6 -3k > 0 . . . . . . substitute for y

  2 -k > 0 . . . . . . . divide by 3

  k < 2 . . . . . . . . . add k

So, the values of k that result in the intersection being in the first quadrant are ...

  0 < k < 2

Answer:

Exact weight of quarters now in circulation in the United States  (continuous random variable )

Shoe sizes of humans (discrete random variable)

Political party affiliations of adults in the United States ( random variable)

Step-by-step explanation:

continuous random variable: this is a random experiment where the data usually assume an infinite mode. meaning it is continuous.

discrete random variable: this is the assigning of values based on the outcome of a radom experiment.

random variable: a random variable is a set of possible outcomes from a random experiment

Step-by-step explanation:

The solution of the line x<5

Inequalities are used to represent unequal expressions

The solution to the inequality [tex]4x + 20 < 40[/tex] is [tex]x < 5[/tex]

The inequality is given as:

[tex]4x + 20 < 40[/tex]

Subtract 20 from both sides of the inequalities

[tex]4x < 20[/tex]

Divide both sides of the inequalities by 4

[tex]x < 5[/tex]

This means that the solution to the inequality [tex]4x + 20 < 40[/tex] is [tex]x < 5[/tex]

See attachment for the number line

Read more about inequalities at:

https://brainly.com/question/18881247

Answer:

$32,000 was the profit last year.

Step-by-step explanation:

Answer:

The answer is 32000 profit

Step-by-step explanation:

I just did quiz hope it helps :)

Answer:

Step-by-step explanation:

Add like terms. 3x & 7x are like terms

3x +7x - 2 = 10x - 2

Answer:

0.2

Step-by-step explanation:

3x+7x-2

3x+7x-2=0

3x+7x=2

10x=2

x=2/10

x=[tex]\frac{1}{5}[/tex]

Answer:

4

Step-by-step explanation: midpoint means between so from 1 to b the midpoint is 4

Answer:         X

Step-by-step explanation:

Answer:

x < -3

Step-by-step explanation:

–7x > 21

divide each side by -7, remembering to flip the inequality

-7x/-7 < 21/-7

x < -3

open circle at -3, line going to the left

The Rational numbers ( Q ) include the Natural numbers ( N ):

A natural number is always a rational number.

:)

Answer: It is rational because it can be converted to a fraction since it terminates.

Step-by-step explanation:

As

0.692 is rational because it can be a fraction; 173/250 or 692/1,000

♡ Hope this helps! ♡

❀ 0ranges ❀

Answer:

Step-by-step explanation:

To find g-¹( 2) we must first find g-¹(x)

To find g-¹(x) equate g(x) to y

That's

y = g(x)

We have

y = - 2x + 7

Now interchange the terms that's x becomes y and y becomes x

We have

x = - 2y + 7

Make y the subject in order to find g-¹(x)

Move 7 to the left side of the equation

- 2y = x - 7

Multiply both sides by - 1

We have

2y = 7 - x

Divide both sides by 2 to make y stand alone

That's

So we have

Now to find g-¹(- 2) substitute the value of x that's - 2 into the expression

We have

We have the final answer as

Hope this helps you

Answer:

-10

-12

Step-by-step explanation:

Answer:

Answer:

72°

Step-by-step explanation:

Start by putting the information you’re given into an equation. The angle measure is 4 times the compliment so it has the measure 4x.

Complementary angles are two angels with a sum of 90°.

So our equation will be 4x + x = 90

Add your like terms to get 5x = 90

Divide 90 by 5 to get x by itself.

X = 18

Since the angle we’re trying to find is 4 times the compliment you’re going to multiply 18 by 4 which will give you your answer of 72°