A 15-foot ladder is set up 5 feet from the base of a building. How far up the building does the ladder reach? Round your answer to the nearest tenth of a foot

answer:

the probability of choosing a gray button is 3/5

after putting it back the probability remains the same, so 3/5 for both answers

Answer:

[tex]\sf \dfrac{3}{10}[/tex] = 0.3 - 30%

Step-by-step explanation:

[tex]\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}[/tex]

Given:

[tex]\sf P(gray) = \dfrac35[/tex]

If the button is not replaced, there are now:

[tex]\sf P(gray) = \dfrac24=\dfrac12[/tex]

Therefore,

[tex]\sf P(gray)\:AND\:P(gray)= \dfrac35 \times \dfrac12=\dfrac{3}{10}[/tex]

Answer:

0.69

Step-by-step explanation:

In a right triangle, the cosine of one of the acute angles is the ratio of the adjacent ("next to") side to the hypotenuse.

In this triangle, the side adjacent to angle T has length [tex]\sqrt{38}[/tex].  Now you need the length of the hypotenuse, ST.  Use the Pythagorean Theorem:

[tex]ST^2=(\sqrt{38})^2+(\sqrt{41})^2 \\\\ST^2=38+41\\\\ST=\sqrt{79}[/tex]

Build the ratio (adjacent) / (hypotenuse) and approximate it with a decimal.

[tex]\cos{T}=\frac{\sqrt{38}}{\sqrt{79}} \approx 0.69[/tex]

[tex]{\large{\red{\mapsto{\maltese{\underline{\green{\boxed{\blue{\underbrace{\overbrace{\pink{\pmb{\bf{Answer:}}}}}}}}}}}}}}[/tex]

To find :-

Cos T = ?

Given :-

Perpendicular(P) = RS = √41

Base(B) = RT = √38

Formula to be used :-

We will use here a trignometry formula to find hypotenuse (H) which is ST.

(hypotenuse)² = (perpendicular)² + (base)²

[tex] \cos(A) = \frac{base}{hypotenuse} [/tex]

Solution:-

H² = P² + B²

H² = (√41)² + (√38)²

H² = 41 + 38

H² = 79

H = √79

[tex] \cos(T) = \frac{B}{H} \\ \cos(T) = \frac{ \sqrt{38} }{ \sqrt{79} } \\ \cos(T) = \frac{6.17}{8.89} \\ \cos(T) = 0.69[/tex]

Result :-

The value of cos(T) is 0.69.

Answer:

5229 mm³

Step-by-step explanation:

Volume of square pyramid

[tex]\sf \boxed{Volume \ of \ the \ square \ pyramid = \dfrac{1}{3}*b^2*H}[/tex]

      b = base length = 25 mm

       H = height

         We have to find 'H' using Pythagorean theorem,

              slant height (hypotenuse) = 28 mm

                                                  leg₁ = base length  ÷ 2 = 25÷2 = 12.5

                                                  leg₂ = H

     H² + (12.5)² = 28²

                  H²   = 784 - 156.25

                         = 627.75

                   [tex]\sf H = \sqrt{627.75}[/tex]

                 H = 25.01 mm

          [tex]\sf \text{Volume of square pyramid =$\dfrac{1}{3}*25*25*25.1$ }[/tex]

                                                     = 5229 mm³

[tex]\sf \boxed{\text{Volume of square pyramid = \dfrac{1}{3}*25*25*28}}[/tex]

Answer:

1.colon

2. semicoln

3. comma

4. none

5. dash

6. comma

7. i am not sure but i think is a colon

8.comma

9. semicoln

10. dash

Step-by-step explanation:

You use colon when listing out something.

Sorry, I am not sure about this answer

Answer:

The answer would be (D) 4 minutes.

Step-by-step explanation:

18 x 4= 54

I have had this question before have an amazing day!!!!

Answer:

A. 45°

Step-by-step explanation:

When we are given two measurements of interior angles we add both of those angles together.

Also know that a triangle equals 180 degrees

So when we write out this expression     [tex]80+55+x=180[/tex]

[tex]135+x=180\\-135=-135\\x=45[/tex]

Hope this helps

Answer:

y = - 21

Step-by-step explanation:

System of equations:

- 6x + 2y = - 18

- 3x - 2y = 54

To find y will look to eliminate x:

- 6x + 2y = - 18

- 3x - 2y = 54   (multiply both sides by -2)

- 6x + 2y = - 18

 6x + 4y = - 108

---------------------------- (add those two equations)

        6y  =  - 126        (divide both sides by 6)

          y  =  - 126/6           (simplify by 6)

           y = - 21

Answer: -21

Step-by-step explanation:

Answer:

Nice handwriting!

Step-by-step explanation:

I have no idea im only in 8th grade.

Answer:

1. The sum of the score is 667

2. ???

3. for her to have 95 on her last score the sum would be 762

4. ???

Step-by-step explanation:

1 = add all eight scores to get the sum

3 = add 95 to the sum of the eight scores

Answer:

-14

Step-by-step explanation:

let the number= X

from the statement,

(X+6)×2 = X - 2

open bracket

2X +12 = X- 2

2X-X = -2-12

X = -14

Y = 2.9

Or

X= 2.9, y= - 0.9

Hope this helps!

The probability of a late departure or an early arrival P(late departure or early arrival) = 0.12 + 0.27 – 0.04

The probability is defined as the chances of occurence of any event from the sample.

Given: The probability of a late departure is 12 %t, the probability of early arrival is 27%.

i.e. P(late departure)=0.12

P(an early arrival)=0.27

The probability of both a late departure and an early arrival is 4 percent.

P(late departure and early arrival) =0.04

Now, using the formula the probability of the union of two dependent events A and B:-

[tex]\rm P(AUB)=P(A)+P(B)-P(A \cap B)[/tex]

i.e. P(late departure or early arrival) = P(late departure)+P(an early arrival)-P(late departure and early arrival)

=0.12+0.27-0.0.04

Hence, the required equation : P(late departure or early arrival) = 0.12 + 0.27 – 0.04

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The equation that shows how to correctly calculate the probability of a late departure or an early arrival is  P(L∪E)=0.12+0.27-0.04.

Probability of late departure P(L) = 0.12

Probability of early arrival P(E) = 0.27

Probability of both a late departure and an early arrival P(L∩E)= 0.04

Probability is the measurement of the likelihood of an event.

P(L∪E)=P(L)+P(E)- P(L∩E)

Where P(L∪E) is the probability of a late departure or an early arrival.

So, P(L∪E)=0.12+0.27-0.04

Hence, the equation that shows how to correctly calculate the probability of a late departure or an early arrival is  P(L∪E)=0.12+0.27-0.04.

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Answer:

90.93%

Step-by-step explanation:

It is clear that the table is a linear function. That is, every hour, the amount of corn increases by the same amount. You can find the slope of the linear function by using the slope formula:

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

In your case, the number comes out to be 825. So the number of corn will be 825*10 = 8250 cu ft.

Now, we know that the volume is area times height. So if the area is pi * r * r, then the volume of the shape is 2888*pi.

Therefore, the answer is 8250/2888*pi or 90.93%.

The difference in the pay rate of Phoebe in 5 years will be $11850

Your information is incomplete. Therefore, an overview will be given. Let's assume that the pay rate is $20000. When there is a 5% increase, the new pay rate will be:

= $20000 + (5% × $20000)

= $20000 + $1000

= $21000

When there is $0.75 increase per hour, the new pay rate on 5 years will be:

= (0.75 × 43800)

= $32850

The difference will be:

= $32850 - $21000

= $11850

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Answer:

3215.36 ft^2.

Step-by-step explanation:

Area = 3.14 * r^2

= 3.14 * 32^2

= 3215.36 ft^2.

Answer:

3

Step-by-step explanation:

Answer:

The answer is X equals 12

Step-by-step explanation:

I hope you get it right!

Answer:

-4x^2 + 6x +4

Step-by-step explanation:

Answer:

=x^2+5x+2+−1(5x^2−x−2)

=x^2+5x+2+−1(5x^2)+−1(−x)+(−1)(−2)

=x^2+5x+2+−5x^2+x+2

=x^2+5x+2+−5x^2+x+2

=(x^2+−5x^2)+(5x+x)+(2+2)

=−4x^2+6x+4

Answer:

4900

Step-by-step explanation:

You multiply lengthxwidthxheight, all the given dimensions to get (25x14x14) 4900

The value of y in point C is 0. So, C is located at (2, 0) in the Cartesian plane.

Given that a parallelogram ABCD is shown in the Cartesian plane.

The points are:

A = (-1, 2)

B = (2, 3)

C = (2, y)

D = (-1, -1)

We are asked to find the value of y in the point C.

To find the value of y in point C, we can use the fact that the slope of line AB is equal to the slope of line DC, and the slope of line BC is equal to the slope of line DA.

The slope of a line passing through two points (x₁, y₁) and (x₂, y₂) is given by:

slope = (y₂ - y₁) / (x₂ - x₁)

Let's calculate the slope of line AB and DC:

Slope of AB = (3 - 2) / (2 - (-1))

= 1 / 3

∴ Slope of DC = 1 / 3.

So,

1/3 = (y+1) / (2+1)

1/3 = (y + 1) / 3

y + 1 = 1

y = 0

Hence, we get the value of y in point C is 0.

[Note:- you can simply look at the graph and can determine the location of the point C]

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The solution can be simplified to determine when the object will hit the ground is; h(t) = -9.8t² + 20t + 60

Projectile motion is the motion of an object thrown or projected into the air, subject to only the acceleration of gravity. The object is called a projectile, and its path is called its trajectory

Projectile motion

We are told that the projectile motion of an object can be modeled using;

h(t) = gt² + v0*t + h0

Where;

g is the acceleration due to gravity

t is the time since launch

h(t) is the height of the projectile after time t

v0 is the initial velocity

h0 is the initial height.

Now, we are given;

The acceleration due to gravity; g = –9.8 m/s²

Initial velocity; v0 = 20 m/s

Initial height; h0 = 60 m

Hence solution can be simplified to determine when the object will hit the ground is; h(t) = -9.8t² + 20t + 60 h(t) = -9.8t² + 20t + 60

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Answer:

it's c on edge :] have a nice day

[tex]~~-5=a-3\\\\\implies a =-5+3\\\\\implies a = -2[/tex]

Answer:

Step-by-step explanation:

a) 147

b)147

c) 152

d)65

Answer:

a) mean = 147

b) median = 147

c) mode = 152

d) range = 65

Step-by-step explanation:

firsly let’s arrange the numbers of the set in ascending order:

117 , 119 , 138 , 142 , 152 , 152 , 174 , 182

a)

[tex]Mean = \frac{117+119+138+142+152+152+174+182}{8} =\frac{1176}{8} =147[/tex]

b) the median is the average of the two middle numbers :

[tex]117,119,138, \frac{142,152}{} , 152,174,182[/tex]

[tex]median=\frac{142+152}{2}= 147[/tex]

c) the modal height is 152 because 152 is the value that appears most frequently (2 times) in our set

d) the range of a set is the difference between the highest and lowest numbers :

Then

the range = 182-117 = 65

Answer:

Option B, [tex](48x^{8}y^{5})[/tex]

Step-by-step explanation:

Step 1:  Simplify the exponent

[tex](12x^{2}y^{3})(2x^{3}y)^{2}[/tex]

[tex](12x^{2}y^{3})(2^{2}x^{3*2}y^{1*2})[/tex]

[tex](12x^{2}y^{3})(4x^{6}y^{2})[/tex]

Step 2:  Simply the expression

[tex](12x^{2}y^{3}*4x^{6}y^{2})[/tex]

[tex](48x^{2+6}y^{3+2})[/tex]

[tex](48x^{8}y^{5})[/tex]

Answer: Option B, [tex](48x^{8}y^{5})[/tex]

Answer:

A. 30°, 70° and 80°

B. 10cm

Step-by-step explanation:

A. the two triangle have same angles

so the angles of triangle 2 are 30°, 70° and 80°

B. the perimeter of triangle, is twice as long as the perimeter of

triangle 2

so the perimeter of triangle 2 is 20÷2 = 10 cm

Answer: 100% is 10 times as great as 10%

Step-by-step explanation: 10 * 10 = 100 or 100 divided by 10 equals 10. Have a nice day~

Answer:

um.....10

Step-by-step explanation:

100% (1) ÷ 10% (0.10) = 10

[tex]Hope[/tex] [tex]this[/tex] [tex]helps![/tex] [tex]Have[/tex] [tex]a[/tex] [tex]great[/tex] [tex]day![/tex] [tex]:)[/tex]

An expression has numbers, variables, and mathematical operations. The representation of Leroy's total employment compensation is $46,650.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

As it is given that Leroy's total job benefits were $50,150. while his total job expenses for traveling and for professional development for the year were $3,500. As the total employment compensation is the amount that is the difference between job benefits and job expenses. Therefore,

[tex]\rm Total\ employment\ compensation= Job\ benefits + Job\ expenses[/tex]

                                                   [tex]= \$50,150 - \$3,500\\\\= \$46,650[/tex]

Hence, the representation of Leroy's total employment compensation is $46,650.

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Answer:

the representation of Leroy's total employment compensation is $46,650.

Step-by-step explanation:

Step-by-step explanation: 130

[tex]g(n) = 3n + 1[/tex]

[tex]h(n) = 4n + 3[/tex]

[tex](goh) (n)= g(h(n))[/tex]

[tex] = g(4n + 3) = 3(4n + 3) + 1[/tex]

[tex] = 12n + 9 + 1 = 12n + 10[/tex]

Therfore

[tex](gof)(n) = 12n + 10[/tex]

Now

[tex](gof)(10) = 12(10) + 10 = 120 + 10 = 130[/tex]

[tex](gof)(10) = 130[/tex]

I hope it helped you

Step-by-step explanation:

g(n) × h(n)

=(3n+1)(4n+3)

= 12n² +9n +4n +3

= 12n² +13n + 3

then sub 10 in place of n

12n² +13n + 3

= 12(10)²+13(10)+3

=1200+130+3

=1333

Divide the restocking fee by the price of the item:

12/200 = 0.06

9/150 = 0.06

Multiply by 100 to get the percent:

0.06 x 100 = 6%

Answer: 6%