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Rashid [163]
3 years ago
15

A painter leans a 20 foot ladder against a house so that it touches the house 11 feet from the ground. How far from the base of

the house does the ladder rest on the ground?
Mathematics
1 answer:
gogolik [260]3 years ago
8 0

This problem involves using the Pythagorean Theorem which is a^2+b^2=c^2

We already have the values of a and c, but b is unknown. So we plug in: 11^2+b^2=20^2

121+b^2=400

b^2=279

b=sqrt(279)

b=16.7

So the answer is about 16.7 ft

Hope this helped!

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elena-14-01-66 [18.8K]

Answer:

40 and 45

Step-by-step explanation:

i hope this helps

7 0
3 years ago
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Someone help me with these problems ASAP
Komok [63]
2x^4 + x^3 − 8x^2 − 4x
= x ∙ (2x^3 + x^2 − 8x − 4)
= x ∙ (x^2 ∙ (2x + 1) − 4 ∙ (2x + 1))
= x ∙ (x^2 − 4) ∙ (2x + 1)
= x ∙ (x − 2) ∙ (x + 2) ∙ (2x + 1)

Thus the roots are:
x ∙ (x − 2) ∙ (x + 2) ∙ (2x + 1) = 0
⇒ [x = 0] or [x − 2 = 0] or [x + 2 = 0] or [2x + 1 = 0]
⇒ [x = 0] or [x = 2] or [x = −2] or [x = − 1/2]
4 0
3 years ago
A cell phone plan has a monthly cost that is shown in the table below. What is the correct statement regarding the average rate
BARSIC [14]

Answer:

Second from top...

The average rate of change is $0.07, meaning that for each minute of talk time, the monthly bill increases by $0.07.

Step-by-step explanation:

Pick any two points and calculate the slope which will represent the rate of change:

  (Minutes, Cost)

  (0, 9.95)

  (10, 10.65)

Rate of change:

slope m = (y₂ - y₁) / (x₂ - x₁)

             = (10.65 - 9.95) / (10 - 0)

             = 0.7 / 10

             = 0.07

y is cost

m is rate of change

x is minute(s) use

b is fixed monthly cost regardless if any minutes is used

  y = mx + b

  y = .07x + 9.95

4 0
3 years ago
Riverside Elementary School is holding a school-wide election to choose a school color. 5/8 of the voters were for blue 5/9 of t
padilas [110]

Answer:

There were 180 voters for blue color.

Step-by-step explanation:

Let the total number of voters be 'x'.

Given:

Number of Voters for blue color = \frac{5}{8}x

Number of Voters for green color = \frac{5}{9}(x-\frac58x)=\frac59x(1-\frac58)

Now we will use LCM to make the denominator common we get;

Number of Voters for green color = \frac59x(\frac88-\frac58)=\frac59x(\frac{8-5}{9})=\frac59x(\frac38)=\frac{15x}{72}

Number of Voters for red color = 48

We need to find the number of voters for blue color.

Solution:

Now we can say that;

total number of voters is equal to sum of Number of Voters for blue color, Number of Voters for green color and Number of Voters for red color.

framing in equation form we get;

x=\frac58x+\frac{15x}{72}+48

Combining like terms we get;

x-\frac58x-\frac{15x}{72} = 48

Now we will make denominators common using LCM we get;

\frac{72x}{72}-\frac{5x\times9}{8\times9}-\frac{15x\times1}{72\times 1} = 48\\\\\frac{72x}{72}-\frac{45x}{72}-\frac{15x}{72} = 48

Now denominators are common so we will solve the numerators we get;

\frac{72x-45x-15x}{72}=48\\\\\frac{12x}{72}=48\\\\\frac{x}{6}=48

Now multiplying both side by 6 we get;

\frac{1}{6}x\times6=48\times6\\\\x = 288

Number of voters for blue color = \frac{5}{8}x=\frac{5}{8}\times 288= 180

Hence There were 180 voters for blue color.

4 0
3 years ago
The radius of a circle is 13 find its area un terms of pi
Leto [7]

The area of the circle is given as:

A=\pi r^2

Plugging the value of the radius we have that:

A=\pi(13)^2=169\pi

Therefore the area in terms of pi is:

A=169\pi

7 0
1 year ago
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