Leticia places a 10 foot ladder against a wall at a 70° with the
ground. Determine how far the base of the ladder is from the
wall.
O 3.42 feet
0 27.47 feet
O 9.4 feet
29.24 feet
none of these

Answers

Answer 1

Answer:

To solve this problem you must apply the procedure shown below:

1. You have that ladder measures 10 foot and forms and angle of 70 degrees with the ground.

2. Therefore, you have:

Sinα=opposite/hypotenuse

α=70°

opposite=x

hypotenuse=10

3. When you substitute the values, you obtain:

Sin(70°)=x/10

4. Now, solve for x, as following:

x=(10)(Sin(70°)

x=9.39 feet

Therefore, the answer is: 9.39 feet.

Step-by-step explanation:


Related Questions

Solve the simultaneous equations
2x – 3y = 12
3x + 4y = 1

Answers

Answer:

x=3 and y=−2

Step-by-step explanation:

Multiply the first equation by 4,and multiply the second equation by 3.

4(2x−3y=12)

3(3x+4y=1)

Becomes:

8x−12y=48

9x+12y=3

Add these equations to eliminate y:

17x=51

Then solve17x=51for x:

17x=51

17x

17

=

51

17

(Divide both sides by 17)

x=3

Now that we've found x let's plug it back in to solve for y.

Write down an original equation:

2x−3y=12

Substitute3forxin2x−3y=12:

(2)(3)−3y=12

−3y+6=12(Simplify both sides of the equation)

−3y+6+−6=12+−6(Add -6 to both sides)

−3y=6

−3y

−3

=

6

−3

(Divide both sides by -3)

y=−2

Answer:

[tex](3,-2)[/tex]

Step-by-step explanation:

[tex]2x-3y=12[/tex]

[tex]2(3)-3(-2)=12[/tex]

[tex]6--6=12[/tex]        Two negative signs together makes a addition

[tex]3x+4y=1[/tex]

[tex]3(3)+4(-2)=1[/tex]

[tex]9-8=1[/tex]            

12. The local regional transit authority of a large city was interested in determining the mean
commuting time for workers who drive to work. They selected a random sample of 125
workers who drive to work and asked them how long they spent commuting to work in
minutes). A 95% confidence interval was constructed and reported as (27.74, 30.06).
(a) Show that the conditions for calculating a confidence interval for a mean are satisfied.
(b) Interpret the interval in the context of this problem.

Answers

1. We conclude that the conditions for calculating a confidence interval for a mean are satisfied.

2. Since interval was constructed and is reported, we assume that distribution of the sample mean is normal.

Do the conditions for a mean confidence interval calculation hold?

Let x be the sample mean

Let s be the sample standard deviation

Let n be the sample size

Let α be the significance level

Let Z be the standard normal distribution value.

To determine if conditions for calculating confidence interval for a mean are met, we have to check the followings:

1. Random sampling:

The sample of 125 workers was selected randomly.

2. Independence:

We assume that each worker's commuting time is independent of each other.

3. Sample size:

n = 125 > 30. This satisfies the condition for the central limit theorem to apply.

4. Normality:

The 95% confidence interval was constructed using the formula x ± Zα/2(s/√n).

Since interval was constructed and is reported, we can assume that the distribution of the sample mean is approximately normal. Therefore, we can conclude that the conditions for calculating a confidence interval for a mean are satisfied.

Read more about confidence interval

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Please help me with these questions

Answers

Answer:

A. <EKH and <EKF

B. <EKH and <FKG

C. <HKJ and <GKJ

Step-by-step explanation:

A. A linear pair are two adjacent angles that forms a straight line that equals 180°.

<EKH and <EKF is a linear pair

B. A pair of vertical angles are opposite angles formed when two straight lines intersect. They share a common vertex.

<EKH and <FKG

C. Adjacent angles share a common vertex and a common side. The pair of adjacent angles that are not a linear pair will not form a straight line.

<HKJ and <GKJ are adjacent angles that share the same vertex (<K) and the same side (KJ). However they do not form a straight line. Therefore, <HKJ and <GKJ are a pair of adjacent angles that are not a linear pair.

What is the sum of 4.2 × 10^5 and 5.3 × 10^5

Answers

Answer:

4.2 x 10^5 = 420,000

5.3 x 10^5  = 530.000

Step-by-step explanation:

Help asap please im failing

Answers

Step-by-step explanation:

Convert each fraction by setting up proportion out of 100.

[tex] \frac{60}{90} = \frac{?}{100} [/tex]

[tex] \frac{78}{150} = \frac{?}{100} [/tex]

[tex] \frac{75}{120} = \frac{x}{100} [/tex]

Cross multiply each fraction. let x represent the missing number.

[tex]6000 = 90x[/tex]

[tex]7800 = 150x[/tex]

[tex]7500 = 120x[/tex]

Solve for x

For the first equation.

[tex]x = 66.66666[/tex]

For the second equation

[tex]x = 52[/tex]

For the third equation,

[tex]x = 62.5[/tex]

Round each missing value to the nearest whole value and add the % sign.

60/90=67%

78/150=52%

75/120=63%

He scored the highest on his English test.

On his english test he scored 67%
On his science test he scored 52%
On his math test he scored 63%
To calculate these you would divide by putting the amount of points he earned over the total possible points. Then convert the decimal to a percentage.
He scored the highest on his english test.

The function C(x) = 400x - 0.2x ^ 2 represents the total costs for a company to produce a product, where in dollars and x is the number of units sold. Which statement is true? is the total cost

Answers

Answer: it b y’all

Step-by-step explanation: I took the test

Answer:

B

Step-by-step explanation:

To determine the maxima and minima of the polynomial, differentiate the given based on x and equate to 0.                                   C(x) = 400x - 0.2x²                               dC(x) / dt = 400 - 0.4 x = 0 The value of x is 1000. This is the value of the maxima. As the value of C(x) continously becomes lesser as the value of x is set higher, the minima is not identified. Substitute x to the original equation,                               C(x) = (400)(1000) - 0.2(1000²) = $ 200,000Thus, the answer is letter B. 

15 feet tree cast a shadow that is 15 feet long. What is the distance from the top of the tree to the tip of its shadow?

Answers

Answer: Hi. The height of the tree is 27 ft

Step-by-step explanation:

Answer link- https://socratic.org/answers/601885

Raymond is four times as old as christine plus 5 years.Write an algebraic expression for Raymonds age in terms of christine age

Answers

Answer:

4c + 5 = R

Step-by-step explanation:

This should help you

Question 2: *


What is an equation of a line that is perpendicular to the line whose
equation is 2y + 3x = 1?

Answers

Answer:

[tex]y = \frac{2}{3} x[/tex]

Step-by-step explanation:

Hope it is helpful...

An angle is bisected by a segment forming two new angles find m

Answers

Answer:

60

Step-by-step explanation:

Note that angle ZXY is the bisected angle which was split into angle 1 and 2

Also note that bisectors split angles into to separate congruent angles ( So if angle ZXY was bisected into angle 1 and angle 2 then angle 1 = angle 2 )

If angle 2 = 30 then angle 1 also = 30

Like stated multiple times angle ZXY is made up of angle 1 and 2

Hence, Angle ZXY = Angle 1 + Angle 2

Angle ZXY = 30 + 30 = 60

High school geometry

Answers

Answer:

It would be 12. Do you need me to explain or are you good?

Step-by-step explanation:

Answer:

6√2

Step-by-step explanation:

Find each product

1. (3x)(x^2y^3)

2. (5a^3b)(2ab)

Answers

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

= [tex]3 {x}^{3} {y}^{3} [/tex]

2.[tex](5 {a}^{3} b)(2ab)[/tex]

=[tex]10 {a}^{4} {b}^{2} [/tex]

PLEASE HELP: Evaluate tan^2θ for θ = 60°

1/3
3/4
1
3

Answers

Answer:

3

Step-by-step explanation:

tan 60 = root(3)

tan² 60 = {root (3)}²

tan² 60 = 3

The number of students using a cell phone application doubles every seven days. The initial number of users is 100. Write an equation for f(t) which represents the number of students who are using the application after t days

Answers

Answer:

Following are the solution to the given question:

Step-by-step explanation:

Initial number of users

[tex]N_0=100[/tex] [tex]\text{growth rate=doubles every seven days}[/tex]

[tex]100\% \longrightarrow 7\ days\\\\\frac{100}{100} \longrightarrow 7\ days\\\\1 \longrightarrow 7\ days\\\\[/tex]

When:

[tex]N=N_0\ 2^{rt}\\\\[/tex]

    [tex]=100\times 2^{rt}\\\\=100\times 2^{t\cdot \frac{1}{7}}\\\\=100\times 2^{ \frac{t}{7}}\\\\[/tex]

Checking the value:

After 14 days:

[tex]N=100\times 2^{ \frac{14}{7}}=400\\\\100 \overset{100\ days}{\rightarrow} 200 \overset{7 \ days}{\rightarrow}\ 400[/tex]

pls help me on this i don't know what to do ​

Answers

Answer:

D.

Step-by-step explanation:

Standard Form (Quadratic): [tex]y=ax^2+bx+c[/tex]

Vertex Form (Quadratic): [tex]y=a(x-h)^2+k[/tex]

Intercept Form (Quadratic): [tex]y=a(x-p)(x-q)[/tex]

      p,q are x-intercepts

x-intercepts given in graph: -2,4

[tex]y=a[x-(-2)](x-4)[/tex]

eqn 1: [tex]y=a(x+2)(x-4)[/tex]

Plug in the given point to find 'a' : (3,-5)

[tex]-5=a(3+2)(3-4)[/tex]

[tex]-5=a(5)(-1)[/tex]

[tex]1=a[/tex]

Substitute 'a' in to eqn 1.

[tex]y=1(x+2)(x-4)[/tex]

eqn 2: [tex]y=(x+2)(x-4)[/tex]

Expand eqn 2. (can use FOIL)

[tex]y=x^2-2x-8[/tex]

The hire purchase price of a fridge is 16400. 25% is paid as deposit, the rest is spread over 12 equally monthly instalments. If the cash price is 20% less the hire purchase pries, (a) find the costs price of the fridge (b) calculate the deposit (c) what is the monthly installments (d) what is the differences between the cash price and the hire purchase prie

Answers

Answer: a. 13120

b. 4100

c. 1025

d. 3280

Step-by-step explanation:

(a) find the costs price of the fridge

Since the cash price is 20% less the hire purchase price, then the cost of the fridge will be:

= (100% - 20%) × 16400

= 80% × 16400

= 0.8 × 16400

= 13120

(b) calculate the deposit

Since 25% is paid as deposit, the deposit will be:

= 25% × 16400

= 0.25 × 16400

= 4100

(c) what is the monthly installments

Monthly installments will be:

= (16400 - 4100)/12

= 12300/12

= 1025

(d) what is the differences between the cash price and the hire purchase price.

This will be:

Hire purchase price = 16400

Cash price = 13120

= 16400 - 13120

= 3280

SOMEBODY PLEASE HELPPP ME!!!!

Answers

Answer:

15.6

Step-by-step explanation:

We see a dilation. So the ratio between UT and XW is 2:7.8. That is 1:3.9. If we put 4 in the 1 place, then we get 15.6

Please give brainliest

Hope this helped

19.
Which of the following equations has a graph that crosses the y-axis at a point lower than the graph of y= -2x2 - 1?

A. y= 3x2 - 3

B. y= -3x2 + 3

C. y= -3x2 + 1

D. y= -3x2 - 1

Answers

Answer:

B. y= -3x2 + 3

Step-by-step explanation:

y= -3^2+3

The given equations has a graph that crosses the y-axis at a point lower than the graph is option (C) is correct.

To find the equation/

What is quadratic equation?

Any equation containing one term in which the unknown is squared and no term in which it is raised to a higher power. The quadratic formula to solve a quadratic equation ax2 + bx + c = 0 is x = [-b ± √(b2 - 4ac)]/2a.

Given that:

By definition, the graph of Quadratic function is a parabola.

The Standard form of a Quadratic function is the following:

[tex]f(x)=ax^{2} +bx+c[/tex]

Where "a", "b" and "c" are real numbers (a≠0)

It is important to remember that if the value of the leading coefficient "a" is larger, then the parabola will be narrower.

So, given the following Quadratic equation:

[tex]y=-2x^{2} -1[/tex]

You can identify that:

IaI=2

Therefore, the equation that has a graph that crosses the y-axis at a point lower than the graph, must have a leading coefficient larger than 2.

[tex]y=-3x^{2} +1[/tex]

Where:

IaI=3

Notice that:

3>2

Learn more about quadratic equation here:

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Need this in now like ASAP.
Fill the blanks in with yes or no

Answers

Answer-

a. no

b. yes

c. no

Does anybody know 5.4.7: Teenagers CodeHs. Please help I am stuck in this

Answers

Answer:

The program in Python is as follows:

age = int(input("Age: "))

if age>=13 and age <=19:

   print("Teenager")

else:

   print("Not a teenager")

Step-by-step explanation:

This gets input for age

age = int(input("Age: "))

This checks if age is between 13 and 19 (inclusive)

if age>=13 and age <=19:

If yes, the age is teenage

   print("Teenager")

If otherwise, the age is not teenage

else:

   print("Not a teenager")

What value of n makes the equation true?

Answers

Answer:

10

Step-by-step explanation:

When multiplying numbers of the same base the exponents are added

therefor

n + 10 = 20

n = 10

Answer:

10

Step-by-step explanation:

y^n × y^10 = y^20

y^(n+10) = y^20

n+10 = 20

n = 20-10

n = 10

A company that makes​ hair-care products had 7,000 people try a new shampoo. Of the 7,000 people, 28 had a mild allergic reaction. What percent of the people had a mild allergic​ reaction?

Answers

Answer: 0.4%

Step-by-step explanation:

First, a porportion needs to be set up.

part/whole = percent/100

28/7,000 = x/100

Second, cross multiply.

2800=7,000x

x=0.4

Which graph represents the solution set of the inequality x + 2 greater-than-or-equal-to 6 A number line goes from negative 9 to positive 9. A solid circle appears on positive 3. The number line is shaded from positive 3 through negative 9. A number line goes from negative 9 to positive 9. An open circle appears at positive 3. The number line is shaded from positive 3 through positive 9. A number line goes from negative 9 to positive 9. A closed circle appears at positive 4. The number line is shaded from positive 4 through positive 9. A number line goes from negative 9 to positive 9. An open circle appears at positive 4. The number line is shaded from positive 4 through negative 9.

Answers

The open circle of the positive 9 at 3 x+2

LMNO is a parallelogram. If sides NM=2x+5, OL=x+10,and NO=7x-3. Find the value of X and then find the length of NM and NO

Answers

You want all of the answers or just one?

Answer:

Step-by-step explanation:

opposite sides of a parallelogram are equal . So,

NM = OL

2x + 5 = x + 10

2x - x = 10 - 5

x = 5

substitute the value of x

NM = 2x + 5

=2*5 + 5

=15

for NO also substitute 5 inplace of x

Please give real answers with an explaination. I will follow + I will give the brainliest. No Docs/No Files/No Links only answer with explaination.

Answers

Answer:

129 = x

Step-by-step explanation:

The exterior angle is equal to the sum of the opposite interior angles

47+82 = x

129 = x

Answer:

47+82 = x

129 = x

hope it helps

. Which of these could be the side lengths of a right triangle? Highlight all possible answers. A. 4-7-10 B. 36-48-60 C. 6-10-14 D. 14-48-50

Answers

Answer:

B. ) 36-48-60

Step-by-step explanation:

From Pythagoras theorem, we can determine the sides of the triangle by testing the options

a^2 + b^2 = c^2

Then test the options

B. ) 36-48-60

36^2 + 48^2 = 60^2

3600 + 2304 = 3600

3600= 3600

Since both sides have equal values, then OPTIONS B express a correct sides of the triangle

C.) 6-10-14

6^2 + 10^2 = 14^2

36+ 100= 196

136= 196( it doesn't make an equality then it's not the answer

Write the equation of a line with a slope of-5/7 and a y-intercept of 1.​

Answers

Answer:

y = -5/7x + 1

Step-by-step explanation:

y = -5/7x + 1

Luis put out 6 different pies at a picnic at the end of the picnic, he noticed this about the pies: one whole apple pie was eaten, and 3/4 of another apple pie was eaten 1/2 of the blackberry pie was eaten 1/8 of the blueberry pie was eaten 5/8 of the cherry pie was eaten 3/4 of the peach pie was eaten. What is the total amount of pies that where left over

Answers

Answer:

2 1/4

Step-by-step explanation:

amount left of apple pie = 1 - 3/4 = 1/4

amount left of blackberry pie = 1 - 1/2 = 1/2

amount left of blueberry pie = 1 - 1/8 = 7/8

amount left of cherry pie = 1 - 5/8 = 3/8

amount left of peach pie = 1 - 3/4 = 1/4

add this figures together

1/4 + 1/2 + 7/8 + 3/8 + 1/4

2 4 + 7 + 3 + 2

8

Suppose a city with a population of 700,000 has been growing at a rate of 7​% per year. If this rate​ continues, find the population of this city in 25 years. The population in 25 years will be approximately...?

Answers

Answer:

approximately 1,925,000

Step-by-step explanation:

700,000 * 0.07 = 49,000    this would be the growing rate per year.

49,000 * 1,225,000    this would be the population grown in 25 years.

700,000 + 1,225,000 = 1,925000    this would be the total population that was in the city and the population that has grown in the 25 years.

Hope this helps

I will give u brainliest and 5 star and thanks if its correct

Answers

Answer:

is B and E. They both equal 81

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