The base of a 15-foot ladder is 6 feet from a building. If the ladder reaches the flat roof, how tall is the building?


The height of the building is ft


(Simplify your answer. Type an exact answer, using radicals as needed.)

Answer:

x = 2/7 or 0.285714

Step-by-step explanation:

Your welcome :)

Answer:

x=4

Step-by-step explanation:

3/4(x+8)=9

simplify

3/4x+6=9

-6 -6

3/4x=3

multiply 4

3x=12

divide 3

x=4

Answer:

[tex]g(x) = \frac{ - 19}{3} x \: + 2[/tex]

I hope that is right

Answer:

[tex] \huge \red{ c_3 = - 1}[/tex]

Step-by-step explanation:

[tex]c_1 = 1 \\ \\

c_n= - 2c_{n-1}+5 \\ \\ c_2 = - 2c_{2-1}+5 \\ \\ c_2 = - 2c_{1}+5 \\ \\ c_2 = - 2(1)+5 \\ \\ c_2 = - 2+5 \\ \\ \huge \purple{c_2 =3} \\ \\ c_3 = - 2c_{3-1}+5 \\ \\ c_3 = - 2c_{2}+5 \\ \\ c_3 = - 2(3)+5 \\ \\ c_3= - 6+5 \\ \\ \huge \red{ c_3 = - 1}[/tex]

Answer:

C

Step-by-step explanation:

5.-10.20.-40.80.-160.320

This pattern shows each number being multiplied by -2

Answer:

1/6 x 1/4 2/24= 1/12   Answer 1/12

Step-by-step explanation:

Please mark brainliest

Answer:

1/6

=2/24

=1/2

Step-by-step explanation:

I hope it helps you if it helps you please mark brainliest

Answer:

Era is x and number of wins is y

Edit: I would go up by two's on the y axis and .5 on the x axis

Answer:

1630.77

Step-by-step explanation:

795 * 20% = 159

159 divided 9.75% equals 1630.77

hope this helps :)

Answer:

x=2

Step-by-step explanation:

Answer:

Step-by-step explanation:

Average rate of change is (y2-y1)/(x2-x1)

(2(11)-5-2(8)+5)/(11-8)

6/3

2

However since y =mx+b where m is the slope or rate of change we can see that m=2 without calculating.

Answer:

x = 49

Step-by-step explanation:

Let's solve for x in the first triangle by applying the leg rule.

Leg rule is given as: hypotenuse/leg = leg/part

Hypotenuse = x

Leg = 28

Part = 16

Plug in the values into the equation

x/28 = 28/16

Cross multiply

x*16 = 28*28

16x = 784

x = 784/16

x = 49

✔️Let's check our answer to see if we would get the same value of x for the other triangle. Apply the same leg rule.

Hypotenuse = x

Leg = 21

Part = 9

Thus:

x/21 = 21/9

Cross multiply

x*9 = 21*21

9x = 441

x = 441/9

x = 49

✔️We have the same value. Therefore, x = 49 is the correct answer.

Answer:

a = 1

Step-by-step explanation:

(x²+x-1)(x-1) = x³+x²-x-x²-x+1 = x³-2x+1

Answer:

24

Step-by-step explanation:

S is 24. 24 times 5 equals 120. To find the answer, you need to divide the bigger number (120) by the other number (5) and then you will get your answer.

Answer:

4

Step-by-step explanation:

Answer:

the answer is 3

explanation:

3x+6/9= 3*7+6/9= 27/9 =3

Answer:

They will pay the same amount!

Answer:

Step-by-step explanation:

From the given information:

The uniform distribution can be represented by:

[tex]f_x(x) = \dfrac{1}{1500} ; o \le x \le \ 1500[/tex]

The function of the insurance is:

[tex]I(x) = \left \{ {{0, \ \ \ x \le 250} \atop {x -20 , \ \ \ \ \ 250 \le x \le 1500}} \right.[/tex]

Hence, the variance of the insurance can also be an account forum.

[tex]Var [I_{(x}) = E [I^2(x)] - [E(I(x)]^2[/tex]

here;

[tex]E[I(x)] = \int f_x(x) I (x) \ sx[/tex]

[tex]E[I(x)] = \dfrac{1}{1500} \int ^{1500}_{250{ (x- 250) \ dx[/tex]

[tex]= \dfrac{1}{1500 } \dfrac{(x - 250)^2}{2} \Big |^{1500}_{250}[/tex]

[tex]\dfrac{5}{12} \times 1250[/tex]

Similarly;

[tex]E[I^2(x)] = \int f_x(x) I^2 (x) \ sx[/tex]

[tex]E[I(x)] = \dfrac{1}{1500} \int ^{1500}_{250{ (x- 250)^2 \ dx[/tex]

[tex]= \dfrac{1}{1500 } \dfrac{(x - 250)^3}{3} \Big |^{1500}_{250}[/tex]

[tex]\dfrac{5}{18} \times 1250^2[/tex]

∴

[tex]Var {I(x)} = 1250^2 \Big [ \dfrac{5}{18} - \dfrac{25}{144}][/tex]

Finally, the standard deviation  of the insurance payment is:

[tex]= \sqrt{Var(I(x))}[/tex]

[tex]= 1250 \sqrt{\dfrac{5}{48}}[/tex]

≅ 404

Answer:

Two thousands or 2000

Step-by-step explanation:

2 is in the 4th column from the right which is the thousands

Answer:

thousands place

Step-by-step explanation:

Answer:  

= 50.6 miles per hour

Showing Work:

This is a fraction equal to

405 miles ÷ 8 hours

We want a unit rate where

1 is in the denominator,

so we divide top and bottom by 8

405 miles ÷ 8

8 hours ÷ 8

=  

50.625 miles

1 hour

=  

50.625 miles

hour

= 50.625 miles per hour

rounding to the nearest tenth:

50.6 miles per hour

Answer:

6 no 3 yes

Step-by-step explanation:

for 6 hours no because she already used 200 and now she only has 100 to spend

for 3 hours yes because that fee would be UNDER her budget

Answer:

$13,160

Step-by-step explanation:

5,600*.03=168

168*45= 7,560

5,600+7,560= 13,160

The amount of money in the account of Tom after 3 years with simple interest of 9.5 % is $6135.

Calculating the amount of interest that will be charged on a loan can be done quickly and easily using the simple interest formula. To calculate the simple interest, we need to multiply the principle amount, the number of days between payments (in years), and the interest rate (in decimals).

The formula to calculate Simple Interest is:

SI  = P*I*T

Here, P = Principal amount,

I = interest rate (in  decimals),

T = time duration (in years).

putting the values from question:

SI = 5600 * 0.095*3

Simple Interest = 535

The money in the account will be the sum of principal amount and the simple interest.

Final amount = Principal amount + Simple Interest.

A = 5600 + 535

A = 6135

Therefore, the money in the account after 3 years is $6135 .

To know more about simple interest, go to link

brainly.com/question/2294792

#SPJ2

complete question;

Tom deposits $5,600 into a savings account.  The simple interest rate for the account is 9.5%.  If Tom does not withdraw any money from the account, how much money will be in the account after 3 years?

Answer:

45 minutes

Step-by-step explanation:

They both have 127 pages after 45 minutes.

Answer:

i think is 1

Step-by-step explanation:

Answer:

Socialisation is the process through which individuals learn the norms and values of society, leading to social cohesion and a functional society

hope it helps you

please mark me as brainlist

Step-by-step explanation:

mixing up and following social norms and values as a member of the society is called socialization.

Answer:

>

Step-by-step explanation:

0.13 is greater than 0.091

Answer:

56.7°

Step-by-step explanation:

A rectangle is 5.1 cm wide and each diagonal is 9.3 cm long. What is the measure of the angle between a diagonal and the shorter side of the rectangle to the nearest tenth of a degree?

We solve this question using the Trigonometric function of Sine

From the question, we are told that:

A rectangle is 5.1 cm wide

and each diagonal is 9.3 cm long.

Since we have a diagonal, this means the shape is transformed to a triangle.

The width of the rectangle = Adjacent side of a triangle = 5.1cm

The diagonal of the rectangle = Hypotenuse = 9.3cm

Hence,

cosθ = Adjacent/Hypotenuse

cosθ = 5.1/9.3

cosθ = 0.5483870968

θ = arccos(0.5483870968)

θ = 56.743568714°

Approximately = 56.7°

The measure of the angle is 56.7°

Answer:

There are 2 possible solutions

Step-by-step explanation:

Given

x² = 100 ( take the square root of both sides )

x = ± [tex]\sqrt{100}[/tex] = ± 10

Since 10 × 10 = 100 and - 10 × - 10 = 100

solutions are x = 10 , x = - 10