Mohal leans a 20-foot ladder against a wall so that it forms an angle of 72° with the

ground. How high up the wall does the ladder reach? Round your answer to the

nearest tenth of a foot if necessary.

Answers

Answer 1

Answer:

sin(72°)=x÷20ft.

sin(72°)×20ft.= 19ft 252 inches

the ladder reach 19ft 252 inches tall on the building.

Step-by-step explanation:


Related Questions

A sports store has jerseys representing the seven Canadian NHL teams and the eight Canadian CFL teams. Five of these jerseys have to be chosen for display in a store window. The store owner decides to choose three NHL and two CFL jerseys. These jerseys will be arranged in a row in the store window.

The number of displays that can be made by choosing the jerseys and then arranging them in the window is

A. 4900
B. 11 760
C. 117600
D. 1411 200
The answer key says the right Answer is (C), I just don't know how to get there. ​

Answers

Answer:

possible arrangements

CCNNN

CNCNN

CNNCN

CNNNC

NCCNN

NCNCN

NCNNC

NNCCN

NNCNC

NNNCC

Ten ways to arrange the window

for any one of these there are

NHL

7 ways to fill the first position

6 ways to fill the second

5 ways to fill the third

7•6•5 = 210 ways to select the NHL jerseys

CFL

8 ways to fill the first position

7 ways to fill the second

8•7 = 56 ways to select the CFL jerseys

210•56 = 11760 ways to select a set of 5 jerseys

11760•10 = 117 600 possible ways to arrange the window

What is the product of 10 x 10 x 10, using an exponent? ​

Answers

Answer:

10^3

Step-by-step explanation:

Answer:

10³

Step-by-step explanation:

10 × 10 × 10 = 10³

Maya purchased a boat for $18,340. Its value depreciated by 15% in the first year she owned it. What was her boat worth at the end of this first year?

Answers

Answer:

$15,589

Step-by-step explanation:

Since it deteriorated 15%, it is now worth 85% of the original.

18340 * .85 = 15589

3/2 x 4/3 x 5/4… x 2006/2005

Answers

Answer:

1003

Step-by-step explanation:

The problem is a classic example of a telescoping series of products, a series in which each term is represented in a certain form such that the multiplication of most of the terms results in a massive cancelation of subsequent terms within the numerators and denominators of the series.

The simplest form of a telescoping product[tex]a_{k} \ = \ \displaystyle\frac{t_{k}}{t_{k+1}}[/tex], in which the products of n terms is

[tex]a_{1} \ \times \ a_{2} \ \times \ a_{3} \ \times \ \cdots \times \ a_{n-1} \ \times \ a_{n} \ = \ \displaystyle\frac{t_{1}}{t_{2}} \ \times \ \displaystyle\frac{t_{2}}{t_{3}} \ \times \ \displaystyle\frac{t_{3}}{t_{4}} \ \times \ \cdots \ \times \ \displaystyle\frac{t_{n-1}}{t_{n}} \ \times \ \displaystyle\frac{t_{n}}{t_{n+1}} \\ \\ \-\hspace{5.55cm} = \ \displaystyle\frac{t_{1}}{t_{n+1}}.[/tex].

In this particular case, [tex]t_{1} \ = \ 2[/tex] , [tex]t_{2} \ = \ 3[/tex], [tex]t_{3} \ = \ 4[/tex], ..... , in which each term follows a recursive formula of [tex]t_{n+1} \ = \ t_{n} \ + \ 1[/tex]. Therefore,

[tex]\displaystyle\frac{t_{2}}{t_{1}} \times \displaystyle\frac{t_{3}}{t_{2}} \times \displaystyle\frac{t_{4}}{t_{3}} \times \cdots \times \displaystyle\frac{t_{n}}{t_{n-1}} \times \displaystyle\frac{t_{n+1}}{t_{n}} \ = \ \displaystyle\frac{3}{2} \times \displaystyle\frac{4}{3} \times \displaystyle\frac{5}{4} \times \cdots \times \displaystyle\frac{2005}{2004} \times \displaystyle\frac{2006}{2005} \\ \\ \-\hspace{5.95cm} = \ \displaystyle\frac{2006}{2} \\ \\ \-\hspace{5.95cm} = 1003[/tex]

Question 14 of 25
Does this graph show a function? Explain how you know.









O A. No; the graph fails the vertical line test.

O B. No, there are y-values that have more than one x-value.

C. Yes; the graph passes the vertical line test.

O D. Yes, there are no y-values that have more than one x-value.

Answers

Using the function concept, it is found that the correct option is:

C. Yes; the graph passes the vertical line test.

In a function, one value of the input can be related to only one value of the output. In a graph, it means that for each value of x(horizontal axis), there can only be one respective value of y(vertical axis). If it happens, it means that the graph passes the vertical line test.

In this graph, for each value of x, there is only one value of y, hence it passes the vertical line test, and option C is correct.

You can learn more about the function concept at https://brainly.com/question/12463448

what is the value of x

Answers

Answer:

x = 32

Step-by-step explanation:

this is an equilateral triangle where all sides measure the same value; therefore, 2x-4 = 5y

since we are solving for 'x' we can set up this equation:

3(2x-4) = 180

6x - 12 = 180

6x = 192

x = 32

The base of a triangle is 4 ft more than the height. If the area is 30ft2, find the base and the height.

Answers

Answer:

Base = 10 ft. and the height = 6.

Step-by-step explanation:

Area of triangle = 1/2bh

base is 4 + h  ⇔  base = 4 + h

height = h

Using the formula for the area of triangle substitute into the formula the given facts.

A = 1/2bh

30 = 1/2(4 + h) (h)

30 = 1/2(4h + h²)     Multiply both sides by 2

60 = 4h + h²

-60 =           -60      Add -60 to both sides

0 = h²+ 4h -60        

(h + 10)(h - 6) = 0      Factor

h + 10 = 0    h - 6 =0

h = -10         h = 6

reject any negative number and use the positive answer for h.

So h = 6      and the base = 4 + 6 ; base = 10

Solve for the unknown values.
95x
50y
X=
degrees
y =
degrees

Answers

Answer:

x=85 degrees, y=45 degrees

Step-by-step explanation:

solve for x first:

because there is a straight line (meaning that the angle is 180 degrees), the sum of x and 95 must be 180.

x+95=180 so solving for x would result in x=85 degrees (180-95)

then to solve for y:

the total sum of the interior angles of a triangle is 180 degrees.

so if you know x and the given 50, then to solve for y:

50+85(angle x)+y=180

then solve for y to get 45 degrees (180-(50+85))

a person pays a loan of Rs. 3900 in monthly installments each in installment being less than the former by Rs. 20 ,the amount of first is Rs.400 in how many installment will entire amount be paid ? give reason​

Answers

Answer:

15 installments

Step-by-step explanation:

3900 = Σ [tex]\left \ {{x=n} \atop {x=1}} \right.[/tex]   400 - 20*(n - 1)

Which number comes next in the series? 7, 10, 10, 13, 16, 16,

Answers

19 comes next in the series, followed by two 21s.

Answer:

19

Step-by-step explanation:

In the first number, they add three and that number is repeated.

To further explain, the series would continue like this:

7, 10, 10, 13, 16, 16, 19, 22, 22...

Hope this helps! Brainliest would be appreciated!

Which equation best matches the graph shown below?

Answers

Answer:

B

Step-by-step explanation:

because it is actually move to right

Answer:

y= -3(x+1)(x+3)

Step-by-step explanation:

the lowest coordinate of it is -3 and the x-coordinates are 1 and 3

are 6/12 and 12/24 equavilent​

Answers

Answer:

yes because they're both half of each other

Answer:

Yes

Step-by-step explanation:

pls help me
I m giving brainliest

Answers

Step-by-step explanation:

the general line equation format is

y = ax + b

a is the slope or gradient of the line. it is the ratio of "y coordinate change / x coordinate change".

b is the y-intercept, the y value when x = 0. we get this by putting one point into the equation and solve for b.

(i)

A (3, 5)

B (5, 9)

x changes by +2 (from 3 to 5).

y changes by +4 (from 5 to 9).

so, the slope (or gradient) is +4/+2 = 2

(ii)

the semi-finished equation is

y = 2x + b

let's use A to get b :

5 = 2×3 + b = 6 + b

b = -1

and the full equation is

y = 2x - 1

(iii)

for point (4, k) we get

k = 2×4 - 1 = 8 - 1 = 7

PLEASE HELP WILL MARK BRAINIEST!!!!!

Answers

Answer:

c. copy an angle.

there's no angle in this as far as I can see.

Listen
ol
Figure B is a scale image of Figure A, as shown.
2.5
Figure A
Figure B
Enter the scale factor applied to Figure A to produce Figure B.
Enter your answer as a fraction, like this. 42/53

Answers

Answer:

scale factor = [tex]\frac{14}{5}[/tex]

Step-by-step explanation:

The scale factor is the ratio of corresponding sides, image to original.

scale factor = [tex]\frac{7}{2.5}[/tex] = [tex]\frac{7(2)}{2.5(2)}[/tex] = [tex]\frac{14}{5}[/tex]

PLS HELP ME WITH GEOMETRY :0000

Answers

Answer:

GM = 18

Step-by-step explanation:

HJK is congruent to HKL (RHS congruency)

so, JK = KL

JK = 2

GHJ is congruent to MHL (SAS congruency)

so, GJ = LM

LM = 7

GM = 7 + 2 + 2 + 7 = 18

Please help for brainliest!!:)

Answers

Answer:

d)

Step-by-step explanation:

we know, that i = sqrt(-1)

so, i² = -1

i³ = -i

i⁴ = -i × i = - -1 = 1

i⁵ = i⁴×I = 1×i = i

and the cycle begins again for any higher exponents.

so, we find out what i^n is, by dividing n by 4 and look at the remainder.

remainder = 0, i^n = 1

remainder = 1, i^n = i

remainder = 2, i^n = -1

remainder = 3, i^n = -i

so, what is 139 in this regard ?

139 ÷ 4 = 34

remainder 3

so, i¹³⁹ = -i

a) 322 ÷ 4 = 80

remainder 2. not equivalent.

b) 304 ÷ 4 = 76

remainder 0. not equivalent.

c) 221 ÷ 4 = 55

remainder 1. not equivalent.

d) 239 ÷ 4 = 59

remainder 3. this IS equivalent.

Help
Geometry 1
Find z

Answers

Answer:

8

Step-by-step explanation:

The triangles are the same, except one is dilated.

So the hypotenuse of one is 5, and the other is 10. The triangle is dilated to double the other's size. so 4*2 = 8

I have no idea what i just wrote, but the answer is correct.

3----2 = 7
5----4 = 23
7----6 = 47
9----8 = 79
And 19----9 = ??????​

Answers

Answer:

i think 179

Step-by-step explanation:

(3×2)+(2-1) = 7

(5×4)+(4-1) = 23

(7×6)+(6-1) = 47

(9×8)+(8-1) = 79

so 19----9 = (19×9)+(9-1) = 171+8 = 179

help me please please​

Answers

Answer:

alr yeah i get it now

Step-by-step explanation:

its A 11/14

Answer:

[tex]\frac{11}{14}[/tex]

Step-by-step explanation:

[tex]\frac{2}{7}[/tex] + [tex]\frac{7}{14}[/tex]

Before adding er require the fractions to have the same denominators.

Multiply the numerator/ denominator of the first fraction by 2

= [tex]\frac{2(2)}{7(2)}[/tex] + [tex]\frac{7}{14}[/tex]

=[tex]\frac{4}{14}[/tex] + [tex]\frac{7}{14}[/tex]  ( now add numerators leaving the common denominator )

= [tex]\frac{4+7}{14}[/tex]

= [tex]\frac{11}{14}[/tex]


The perimeter of a rectangle is 18.6 km, and its area is 14.6 km“.
Find its length and width.

Answers

Answer:

2 and 7.3

Step-by-step explanation:

[tex]P=2x+2y=18.6[/tex]

[tex]2x=18.6-2y\\x=9.3-y[/tex]

We'll replace x with (9.3-y)

[tex]A=x\cdot y=14.6\\(9.3-y)\cdot y=14.6\\-y^2+9.3y=14.6\\ \\y^2-9.3+14.6=0[/tex]

Now we solve this equation by sum and product:

[tex]S=9.3\\P=14.6\\y=2\ or \ y=7.3[/tex]

Replacing back in the Perimeter equation:

[tex]2x+2y=18.6[/tex]

if y=7.3

[tex]2x+2\cdot7.3=18.6\\2x+14.6=18.6\\2x=4\\x=2[/tex]

if y=2

[tex]2x+2\cdot2=18.6\\2x+4=18.6\\2x=14.6\\x=7.3[/tex]

So, the dimensions are 2 and 7.3 km

Choose the symbol that correctly compares these mixed numbers.

Answers

Answer : =

Step - by - step explanation :

6 3/6 -- simplest form --> 6 1/2

6 6/12 -- simplest form --> 6 1/2

=
6 3/6 is equal to 6 6/12.

Suppose a normal distribution has a mean of 79 and a standard deviation of 7. What is P(x ≥ 72)?

A. 0.84
B. 0.975
C. 0.025
D. 0.16

Answers

Approximately 65% of the distribution lies within one standard deviation of the mean, which is to say,

P(72 ≤ x ≤ 86) ≈ 0.65

Normal distributions are symmetric, so the percentage of values one standard deviation below the mean is equal to the percentage of values one standard deviation above the mean.

P(72 ≤ x ≤ 79) = P(79 ≤ x ≤ 86)

but since the sum of these make up P(72 ≤ x ≤ 86), we find

P(72 ≤ x ≤ 79) ≈ 0.65/2 = 0.325

Also due to symmetry, exactly half of the distribution lies to either side of the mean; namely,

P(x ≥ 79) = 0.5

It follows that

P(x ≥ 72) = P(72 ≤ x ≤ 79) + P(79 ≤ x)

P(x ≥ 72) = 0.325 + 0.5

P(x ≥ 72) = 0.825 ≈ 0.84

Answer: 0.84

Step-by-step explanation:

Need help again first answer gets brainliest

Answers

Answer:

vertical angles are supplementary

Answer:

C. Vertical angles are congruent

Step-by-step explanation:

Angles 1 and 4 are vertical angles.

According to definition of vertical angles, they are congruent.

Correct choice is C

Kelly is nine years older than her sister. Kelly's age is one more than twice her sisters age. What is Kelly's age?

Answers

Answer:

17 years old

I hope this helps

I think it might be right

sorry if it is wrong

A student received scores of 85 and 78 on the first two exams. All exams have a maximum score of 100. What are the possible scores the student could receive on the third exam so that the average of the three exams is at least 80Write your answer in interval notation

Answers

Based on the information given, the student should score at least 77 in the last exam.

Since the student wants to get an average of at least 80. Therefore, the total scores should be:

= 80 × 3 = 240

The student received scores of 85 and 78 on the first two exams. The addition of this will be:

= 85 + 78 = 163

Therefore, his score in the last exam should be:

= 240 - 163

= 77

Learn more about equations on:

https://brainly.com/question/25678139

Suppose log7(10) = a and log7( 5) = b. Use the change-of-base formula along with properties of
logarithms to rewrite each expression in terms of a and b.

Answers

Step-by-step explanation:

log 10/log7=a

log10=alog7

log10=log7^a

10=7^a

log 5/log7=b

log5=blog7

log5=log7^b

5=7^b

Solve each inequality 3+1/2(3-x)<_7

Answers

Answer:

x > 5

Step-by-step explanation:

multiply the fractions, break up the fraction, group like terms, convert integer into a fraction, combine the fraction, combine the numerator, etc. hope this helps.

QUESTION 17 PLEASE HELP ME ASAPP

Answers

Answer: change over time
Explanation: it is decreasing in height therefore is decreasing in altitude

Hey there!

• If it CHANGES it means your temperature/time changes a bit overtime

• If it CONSTANT your temperature/time remains the same

So, basically to this question it was INCREASED then it was DECREASED

Therefore, your answer is: “Option A. “

Because it didn’t stay same

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Which graph or graphs show that a 5 minute phone call costs $4?

Answers

The graph should show an increase of $ 0.80 for every minute that the call lasts.

A 5 minute phone call costs $ 4, with which, to determine the information that the graph should show, the following calculation must be performed:

4/5 = X 0.80 = X

Therefore, the graph should show an increase of $ 0.80 for every minute that the call lasts.

Learn more about maths in https://brainly.com/question/25834039

Answer:

Step-by-step explanation:

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