A ladder is leaning against the side of a building. The building and the ground form a right angle. How high on the
building will the ladder touch if the ladder is 17 ft long and the base of the ladder is 8 ft from the base of the building?
A. 64 ft
B. 8 ft
OC. 15 ft
O D. 16 ft

Step-by-step explanation:

the right side of the diagram

9^2 + x^2 = 24^2

81 + x^2 = 576

x^2 = 576 + 81

x^2 = 657

x=√657

the left side of the diagram

9^2 + x^2 = 24^2

81 + x^2 = 576

x^2 = 576 + 81

x^2 = 657

x=√657

Answer:

x = 2

y = -3

Step-by-step explanation:

6x+6y = -6

x = -5y-13

substitute for x

6(-5y-13) + 6y = -6

-30y-78+6y = -6

-24y-78 = -6

add 78m to each side

-24y = 72

divide each side by -24

y = -3

x =-5(-3)-13 = 2

Complete question :

Mr. Hopkins has a 1 meter wire he is using to make clocks. Each fourth meter is marked off with 5 smaller equal lengths. If Mr. Hopkins bends the wire at ¾ meter, what fraction of the marks is that?

Answer:

15 th ; 15/20

Step-by-step explanation:

Length of wire = 1 m

Number of fourth length possible = 1 ÷ 1/4 = 1 * 4/1 = 4

Each fourth length divided into 5 equal sizes :

Hence. Total number of equal spaced division :

5 * 4 = 20

If wire is bent at 3/4 meter :

Fraction of the mark

3/ 4 of 20

3/4 * 20

(3 * 20) / 4

60 / 4

= 15th

= 15/ 20

Use the formula:

Radio= r, Height= h

V= 3.14xrx2h

r =25, h=31

V= 3.14 x 25 x 2 (31) =. 4867

V= 4867 cubic inches

Step-by-step explanation:

Answer:

[tex](5t+3), (t+3), (t-3)[/tex]

Step-by-step explanation:

Reorder terms.

[tex]5t^3+3t^2-45t-27[/tex]

Factor out the greatest common factor from each group

[tex]t^2(5t+3)-9(5t+3)[/tex]

Factor the polynomial by factoring out the greatest common factor, [tex]5t +3[/tex]

[tex](5t+3)(t^2-9)[/tex]

Factor.

[tex](5t+3), (t+3), (t-3)[/tex]

hope this helps :)

Answer:

1 solution

Step-by-step explanation:

A system of linear equations has no solution when the graphs are parallel.

Answer:

b = 6

Step-by-step explanation:

Let's solve for b.

(3x−1)2=9x2−bx+1

Step 1: Flip the equation.

−bx+9x2+1=9x2−6x+1

Step 2: Add -9x^2 to both sides.

−bx+9x2+1+−9x2=9x2−6x+1+−9x2

−bx+1=−6x+1

Step 3: Add -1 to both sides.

−bx+1+−1=−6x+1+−1

−bx=−6x

Step 4: Divide both sides by -x.

b = 6

Hope this helpss!!!

Answer:

Skewed to the left

Step-by-step explanation:

Khan Academy

The shape of the sampling distribution of the proportions is "approximately normal" is the correct answer.

"The sampling distribution of proportion measures the proportion of success, i.e. a chance of occurrence of certain events, by dividing the number of successes i.e. chances by the sample size n".

For the given situation,

Total number of random samples = 1000

A map website claims to be available of time = 99.995%

⇒ [tex]0.99[/tex]

Let us assume the website's claim is accurate.

Sample proportions closest to 0.6 would be most common, and sample proportions far from 0.6 in either direction would be progressively less likely. In other words, the shape of the distribution of sample proportion should bulge in the middle and taper at the ends: it should be somewhat normal.

Hence we can conclude that the shape of the sampling distribution of the proportions is "approximately normal" is the correct answer.

Learn more about the sampling distribution of the proportion here

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Answer:

net is before tax

gross is after tax

Answer:

26 are left-handed

Step-by-step explanation:

Answer:

$8.00 tip

$48.00 total (haircut+tip)

Step-by-step explanation:

40 x .20 = 8

40 + 8 = 48

Answer:

Step-by-step explanation:

Answer:

x-4=y

Step-by-step explanation:

im pretty sure

Answer:

hjgfghjk

Step-by-step explanation:

:)

Answer:

x = 84

Step-by-step explanation:

The sum of the angles around a point = 360°

sum the given angles and equate to 360

x + 132 + 54 + 90 = 360

x + 276 = 360 ( subtract 276 from both sides )

x = 84

Answer:

x = 84°

Step-by-step explanation:

→ Recall the fact that angles around a point add up to 360°

360 - (90 + 54 + 132 ) = x

→ Simplify

360 - 276 = x

→ Simplify again

84 = x ∴ x = 84°

The answer is  [tex]\frac{5}{10}[/tex]

And that is correct

Answer:

5/10

Step-by-step explanation:

can be reduced to 1/2 or 0.5

Answer:

the first one!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answer:

4

Step-by-step explanation:

25- 9.5 is 15.5 and 4 ×3.75 is 15 you would have still have .5 cents

Answer:

the sum of 10 and the product of 4 and 9

Step-by-step explanation:

Answer:

26km/hr

Step-by-step explanation:

78 divided by 3 hours is equal to 26km/hr

Answer:

Initial amount = 8

Decay rate = 15%

Step-by-step explanation:

Given the exponential function :

y = 8(1 – 0.15)

The general form of an exponential Decay function is :

A = P(1 - r)^t

Where

A = final amout ; P = initial amount ; r = days cay rate ; t = time

Hence, comparing with the equation given :

P = 8 = initial amount

r = 0.15 = 0.15 * 100% = 15% = Decay rate

Answer:

x=8 and y=−3

Answer:

64,512 m3

Step-by-step explanation:

3 1

​  

(base area)(height) =  3 1

​  

(64⋅64)(48)  =65,536

​  

The volume of the building is 64512 cubic meters if the pyramid that's cut off in a plane parallel to its base.

In geometry, it is defined as the shape having a square base with equal sides length and all the vertex of the squares joints at the top which is perpendicular to the center of the square.

We know volume for the right square pyramid is given by:

[tex]\rm V= \frac{1}{3} b\times h[/tex]

Volume for the cut off portion:

[tex]\rm v = \dfrac{1}{3}\times16\times16\times12[/tex]

v = 1024 cubic meters

Volume for the completer pyramid"

[tex]\rm V=\dfrac{1}{3}\times64\times64\times48[/tex]

V = 65536 cubic meters

Volume of the building = 65536 - 1024

= 64512 cubic meters

Thus, the volume of the building is 64512 cubic meters if the pyramid that's cut off in a plane parallel to its base.

Learn more about the right square pyramid here:

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Answer:

The area of the trapezoidal table top is 2.5 m²

Step-by-step explanation:

The area, A, of a trapezoid is given as half times the sum of the parallel side multiplied by the perpendicular distance between them

Therefore, we have;

[tex]A = \dfrac{a + b}{2} \times h[/tex]

The given parameters of the trapezoidal table top are;

The length of the parallel sides = 2 m and 3 m

The length of the perpendicular distance between the parallel sides = 1 m

Where, for the rectangular table top, we have;

'a', and 'b' = The lengths of the parallel sides = 2 m and 3 m respectively

h = The perpendicular distance between the parallel sides = 1 m

By substituting in the values, we have;

[tex]A = \dfrac{2 \ m + 3 \ m}{2} \times 1 \ m = 2.5 \ m^2[/tex]

The area of the trapezoidal table top, A = 2.5 m².

Step-by-step explanation:

a. 3⁴

b. 7⁵

c. 10²

d. 5⁷

Hope this helps?

hope it's helpful ❤❤❤❤

THANK YOU.

Answer:

17.72[tex]\frac{miles}{hr}[/tex]

Step-by-step explanation:

If you are trying to take 26 ft/s to being miles per hour this is how you do it.

26 [tex]\frac{ft}{s}[/tex] * [tex]\frac{mile}{5280ft}[/tex] *[tex]\frac{3600s}{hr}[/tex]

so

17.72[tex]\frac{miles}{hr}[/tex]

Answer:(0,-4), (1,0), (2,6)