A building is 10 feet tall. A ladder is positioned against the building so that the base of the ladder is 3 feet from the building how long is the ladder? Round your answer to the nearest tenth

Picture relating to the question can be found in the picture attached below.

Answer:

Angle DCA = Angle CAB

Angle A + Angle B + Angle C = 180°

18 + 3x + 3x = 180

27°

Step-by-step explanation:

For 1:

Angle DCA = Angle CAB (Alternate angles are equal)

Angle DCA = 18°, Hence, CAB = 18°

2)

Angle A + Angle B + Angle C = 180° (sum of interior angles in a triangle)

3.)

Angle A = 18°

Angle B = 3x

Angle C = 3x

18° + 3x + 3x = 180°

4.)

18 + 3x + 3x = 180

18 + 6x = 180

6x = 180 - 18

6x = 162

x = 162 / 6

x = 27°

Answer:

x=7/2

Step-by-step explanation:

Answer:

x=7/2

Step-by-step explanation:

Answer:

im getting 148,400 as the answer

Step-by-step explanation:

Step-by-step explanation:

P=$140000

T=3 years

R=5%

We know

SI=PTR/100

=140000×3×5/100

=140000×15/100

=1400×15

=$21000

Again

A=P+I

=140000+21000

=$161000

Answer:

with those u can't lol but it's 6 11 and 13

Answer:

x = 3(y - 2/3)

Step-by-step explanation:

x = 3(y - 2/3)

Distribute through the parenthesis

x = 3y - 6/3

REDUCE

x = 3y - 2

So, your answer is : x = 3(y - 2/3)

Answer:

x = 7

The two smaller angles are 23° each

Step-by-step explanation:

x + 16 = 4x - 5 (vertical angles are congruent)

x + 16 - 4x = 4x - 5 - 4x (subtraction property of equality)

-3x + 16 = - 5 (simplification)

-3x + 16 - 16 = -5 - 16 (subtraction property of equality)

-3x = -21 (simplification)

-3x/-3 = -21/-3 (division property of equality)

x = 7 (simplification)

✔️Measure of the two smaller angles:

Plug in the value of x

x + 16 = 7 + 16 = 23°

4x - 5 = 4(7) - 5 = 28 - 5 = 23°

Answer:

3 1/11

Step-by-step explanation:

Elleven goes into thirty three 3 times, so thats why theres a 3. 11 x 3 = 33, and we tried to get to 34. That leaves excess of 1, and we keep the denominator of 11.

Answer:

I think that maybe the answer is $1.14,91 in 2 years.

Answer:

gggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggg

Step-by-step explanation:

Answer:

I belive its 11

Step-by-step explanation:

Answer:

23.5 cm

Step-by-step explanation:

Step one:

Given data

Circle A has a diameter of 6 centimeter

Circle B has a diameter of 25% greater than Circle A

Step two:

Let us find the diameter of circle B

25% of 5 is given as

=25/100*6

=0.25*6

=1.5 cm

Circle B

= 6+1.5

= 7.5 cm in diameter

radius= 7.5/2= 3.75cm

We know that

Circumference= 2πr

C= 2*3.142*3.75

C=23.5 cm

Answer:

60

Step-by-step explanation:

90-30 = 60

Remember, Complementary angles always = 90°

Supplementary always equals 180°

Answer:

y=4x+3

Step-by-step explanation:

First, see where the line intercepts at the y-axis and use the y-value(which is 3). Then to find the slope(m), use the slope equation y{2}-y{1}/x{2}-x{1}.

Apply this formula to the coordinates(0,3) and (1,7):

This will then equal to

This can be simplified to:

Applying the y-intercept value 3 and the slope 4 to the equation:

Answer:

The equation of the line is:

Step-by-step explanation:

The slope-intercept form of the line equation

[tex]y = mx+b[/tex]

where

Given the points

Determining the slope between (0, 1) and (4, -2)

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(0,\:1\right),\:\left(x_2,\:y_2\right)=\left(4,\:-2\right)[/tex]

[tex]m=\frac{-2-1}{4-0}[/tex]

Refine

[tex]m=-\frac{3}{4}[/tex]

We know that the value of the y-intercept can be determined by setting x = 0 and determining the corresponding value of y.

As

The point (0, 1) is given.

It means at x = 0, the vaule of y = 1

Thus, the y-intercept b = 1

now substituting m = -3/4 and b = 1 in the slope-intercept form of line equation

y = mx+b

y = -3/4x + 1

Therefore, the equation of the line is:

Step-by-step explanation:

modal is £1.17

just arrange them in order feom least to highest and whichever is in the middle is the median

Answer:

7860 feet = 1.49 miles.

Step-by-step explanation:

This question is solved using proportions.

One mile equals 5280 feet.

This means that to convert from feet to miles, we divide by 5280.

1. Convert 7860 feet to miles

7860/5280 = 1.49

So

7860 feet = 1.49 miles.

A:

just muptily 9x279 if you getting wrong im sorry

Step-by-step explanation:

Step-by-step explanation:

Translation is when we slide a figure in any direction. Reflection is when we flip a figure over a line. Rotation is when we rotate a figure a certain degree around a point.

Answer:

(3, 2)

Step-by-step explanation:

I will solve using the elimination method

 x + y = 5

- (x - y = 1)

---------------

       2y = 4

          y = 2

plug y = 2 into any equation and solve for x

x + 2 = 5

x = 3

(3, 2)

Complete Question:

Complete the recursive formula of the arithmetic sequence 12, 10, 8, 6, ....

[tex]b_1 = [\ ][/tex]

[tex]b_n = b_{n - 1} + [\ ][/tex]

Answer:

[tex]b_1 = 12[/tex]

[tex]b_n = b_{n-1} - 2[/tex]

Step-by-step explanation:

Required

Complete:

[tex]b_1 = [\ ][/tex]

[tex]b_n = b_{n - 1} + [\ ][/tex]

From the question, the first term is 12.

So:

[tex]b_1 = 12[/tex]

Solving further:

[tex]b_2 = 10 = 12 - 2 = b_1 - 2[/tex]

[tex]b_3 = 8 = 10 - 2 = b_2 - 2[/tex]

[tex]b_4 = 6 = 8 - 2 = b_3 - 2[/tex]

Following the above sequence:

[tex]b_n[/tex] can then be calculated as

[tex]b_n = b_{n-1} - 2[/tex]

Answer:

270/45= 6

396/12= 33

560/16= 35

484/44= 11

874/46= 19

774/18= 43

Answer:

1. 2x²/y    

2. ab²×ab³×a²b

Step-by-step explanation:

1. First you multiply the exponents and then then you multiply the parentheses, spread out the equation and subtract.

2. Volume=l×w×h

(I know it sounds confusing, but it makes sense later on-hope this helps!)

Answer:

A≈452.39

Step-by-step explanation:

Area of circle =

πr²

= π12²

Answer:

formula: πr2

by this formula we can do

Answer:

.25 as a fraction is 1/4

Answer:

y=−3/2x+29/2

y=−23/16x+225/16

Step-by-step explanation:

Answer:

12 is decompose

13 is distibutive property

Step-by-step explanation:

•ω• Hewo fren!

☆☆●◉✿Answer:✿◉●☆☆

12.) DECOMPOSE

13.) DISTRIBUTIVE PROPERTY

☆☆●◉✿Step-by-step explanation:✿◉●☆☆

Well first of all (most important) I should find out what the words mean to me (since the questions only show definitions) and I know that decompose means breaking down a number and DISTRIBUTIVE PROPERTY is a state and that’s what makes it really simple. Also, if we said

”To DISTRIBUTIVE PROPERTY a number means to break it into parts.” Wouldn’t sound proper. :3

HOPE I HELPED!  ∧∧

Answer:

NO

Step-by-step explanation:

sqrt(3100) = sqrt(100) * sqrt(31)

sqrt(31) doesn't work (gives you 5.56776436283 ...)