use similar triangles to calculate the height h cm of triangale abe

Answer:

Your friends shadow would be 9 foot 3 inches

[tex]4x - 1 - 3(1) - 3( - x) = 10 \\ 4x - 1 - 3 + 3x = 10 \\ 4x + 3x - 1 - 3 = 10 \\ 7x - 4 = 10 \\ 7x = 10 + 4 \\ 7x = 14 \\ \frac{7x}{7} = \frac{14}{7} \\ x = 2[/tex]

ATTACHED IS THE SOLUTION

Answer:

second graph

Step-by-step explanation:

the graph of a proportional relationship is a straight line passing through the origin.

the only graph with points which lie on a straight line with a point at the origin is the second graph.

The inequality expression given as |2x - 6 | < 0  has a solution of x > 3

From the question, the inequality is given as

|2x-6|<0

This gives

|2x - 6 | < 0

Remove the absolute bracket

So, we have the following representation

2x - 6 > 0

Add 6 to all sides of the inequality

So, we have

2x - 6 + 6 > 0 + 6

Evaluate the like terms

So, we have

2x > 6

Divide through by 2

x > 3

Hence, the solution to the expression is x > 3

Read more about inequality at

brainly.com/question/25275758

#SPJ1

The amount Bennet will have when he turns 18 will be equal to $3020.

Compound interest is the type of interest charged by banks or institutions on individuals in which the amount after 1 year becomes the principle for the next year. It can be calculated daily, monthly or yearly etc. The formula for compound interest compounded daily will be

A = P(1 + r/n) ^nt, where A is the amount, P is the principle, which is equal to $2000, r is rate of interest which is 3.2% or 0.032, n is compounding frequency which is equal to 365 and t is the time which is equal to 13 years. Now, the amount will be

A = 2000(1 + 0.032/365) ^365×13

A = 2000(1.51)

A = $3020 which is the required amount.

Learn more about Compound Interest at:

brainly.com/question/19338469

#SPJ1

The length of BK in the triangle is 8 units

The given parameters are

As a general rule, the median of a triangle divides the triangle into the following ratio

Ratio of median = 2 : 1

This means that

Ratio of median, BK : KU = 2 : 1

Substitute 4 for KU

So, we have

BK : 4 = 2 : 1

Multiply the right ratio by 4

BK : 4 = 8 : 4

By comparison, we have

BK = 8

Hence, the value of BK is 8 units

Read more about triangles at

https://brainly.com/question/2437195

#SPJ1

Answer: 3696cm³

Step-by-step explanation:

The formula for a Cuboid's volume is LxWxH = V

so plug the numbers in

11cm x 16cm x 21cm = V

3696cm³ = V

Each bracelet price is $4 if Hyo-Jin makes bracelets and sells them on an online craft website. Last month, she sold 6 bracelets.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

The equation is in the word:

With the commission of $1.25 for each bracelet sold, Hyo-Jin made a total of $16.50.

Let x be the cost of each bracelet:

Total earning = 16.50 + 7.50

Total earning = 24

Each bracelet price x = 24/6 = $4

Thus, each bracelet price is $4 if Hyo-Jin makes bracelets and sells them on an online craft website. Last month, she sold 6 bracelets.

The question is incomplete.

The complete question is:

Hyo-Jin makes bracelets and sells them on an online craft website. Last month, she sold 6 bracelets. After paying the website a commission of $1.25 for each bracelet sold, Hyo-Jin made a total of $16.50. How much does each bracelet sell for on the website? Explain the steps you followed to get your answer.

Learn more about the linear equation here:

brainly.com/question/11897796

#SPJ1

Answer:

1+1=2

Step-by-step explanation:

1111111111111111111111

Answer:

Yes

Step-by-step explanation:

We can say this because monomial is term used when an algebraic expression consisting of one term.

Answer:

y = x

Step-by-step explanation:

an equation that an equation that forms an angle of 45 ° and passes through the origin of the axes is the bisector, and its equation is y = x.

Answer:

24 acres of corn, so the equivalent ratio is 18 acres of barley to 24 acres of corn.

Step-by-step explanation:

18 ÷ 3 = 6, so multiply 4 × 6 to obtain 24 acres of corn.

Alternately: Let c be the number of acres of corn. Set up and solve this proportion.

[tex] \frac{3}{4} = \frac{18}{c} [/tex]

[tex]3c = 72[/tex]

[tex]c = 24[/tex]

The distance from Jessica's school to her house is 7.48 miles.

Consider following diagram.

In right triangle ABC, vertex B is the Jessica's house vertex A be her school.

The route from her house to school consists of two straight legs.

She drives straight for 5 miles, and then she makes a right turn of 45 degrees and drives another 9 miles.

⇒ BC = 5 miles and AC = 9 miles

We need to find the distance from Jessica's school to her house in miles.

i.e., we need to find AB

Using Pythagoras theorem,

AC² = AB² + BC²

9² = AB² + 5²

AB = √(81 - 25)

AB = 7.48

Therefore, the distance from Jessica's school to her house is 7.48 miles.

Learn more about Pythagoras theorem here:

https://brainly.com/question/13956035

#SPJ1

Step-by-step explanation:

Please draw your graph on graph paper unlike me with a proper scale to get accurate results. for parts d and e, I simply substituted the known value back into the original equation s= 20+ 5(t) for each one to either find the s or t value. But the question said to use your graph so you must extrapolate your graph (find the corresponding value for the value they gave) and put that answer. your answer should be correct even if it's a point off from the accurate answer.

draw graph and curve in pencil. you can even shade the region between t=0 and t=10.

if you have any questions feel free to ask, and I apologize if the work is a bit messy :)

The probability that at least one of them is not interested in investment banking is 13/14.

It is a branch of mathematics. The possibility of the outcome of any random event is termed as probability. The range of the probability must be between o to 1. Here o indicates impossibility of an event and 1 indicates certainty. Probability can be expressed in proportions. Probability deals in finding the occurrence of an event.

Probability of the first person who is not interested in investment banking is 6/21

Probability of the second person who is not interested in investment banking and also first person was not interested then it is taken as 5/20.

probability that at least one is not interested in investment banking

=1- The probability that neither one of them is not interested in investment banking

=1-((6/21)×(5/20)

=13/14

Therefore, the probability that at least one of them is not interested in investment banking is 13/14.

To know more about probability, visit:

https://brainly.com/question/11234923

#SPJ4

Answer:

E. [tex] a = 5-2b [/tex]

Step-by-step explanation:

how to find the value of a, we need to subtract 2b from both side to single out the variable

a + 2b = 5

subtract 2b from both sides

a + 2b - 2b = 5 - 2b

a = 5 - 2b

Therefore, Option E is the correct answer

the ratio of feet to yards is:

Now, the proportion to find the equivalent yards for 9 feet is:

Let's solve for x:

Therefore, 9 feet=3 yards.

The correct point slope form is  y - 1 = 2 ( x - 9).

What is the point slope form?

The equation of a straight line that passes through a particular point and is inclined at a specific angle to the x-axis can be found using the point slope form. Every point on a line must satisfy the equation for the line in order for it to exist. This implies that a line is represented by a linear equation in two variables. Depending on the facts at hand, there are different ways to find a line's equation.

To learn more about coordinate geometry click on the link below:

https://brainly.com/question/18269861

#SPJ13

Answer:C

Step-by-step explanation:

i believe it is C because at first i thought it was B then realized it was a negative but c is a positive and a grater number C=5.8

Answer:

Father: 24 Son: 8

Step-by-step explanation:

Adition and subtraction

Answer: 0.072 cm^3

Step-by-step explanation:

density=mass*volume

Volume=gensity/mass

5.4/75=0.72

To determine how much flour is required for 24 cups of sugar, assume that 12 cup of flour is required.

There are in total six types of fractions such as:

8 cup of flour is mixed with 16 cup of sugar

So for 8 cup of flour need 16 cup of sugar

Need to find how much flour is needed for 24 cups of sugar

Assume the amount of flour needed is x.

   [tex]\frac{8}{16}[/tex] = [tex]\frac{x}{24}[/tex]

cross multiply them :

 [tex]\frac{8}{16}[/tex] = [tex]\frac{x}{24}[/tex]

[tex]8 * 24 =16x[/tex]

[tex]x = \frac{8 * 24}{16}[/tex]

x = 12

12 cup flour is needed for 24 cups of sugar

To learn more about Fraction refer :

https://brainly.com/question/17220365

#SPJ13

Answer:

x=-6,8

Step-by-step explanation:

First, let's observe our equation, there is an absolute value (|x|) that means 'x' will have two answers most likely positive and negative.

First we will take off the lines.

now we have

2-2x=14

next minus 2 out of both side of the equation

2 - 2 -2x = 14- 2

-2x =12

now we will divide -2 from both side of the equation

[tex] \frac{ - 2x = 12}{ - 2} [/tex]

we will cancel out - 2

[tex]\frac{x = - 6}{1} [/tex]

x= -6

We aren't done yet since this is an absolute value we have to convert the sum of the equation ( 14) to negatives now which will be in this case (-14)

your new equation will look like this

2-2x= -14

next minus 2 out of both side of the equation

2 - 2 -2x = -14- 2

-2x = - 16

now we will divide -2 from both side of the equation

[tex] \frac{ - 2x = - 16}{ - 2} [/tex]

we will cancel out - 2

[tex] \frac{x = 8}{1} [/tex]

x = 8

x = -6

2 - 2x = 14

2 - 2(-6) = 14.

2 + 12 = 14✓.

x= 8

2 - 2x = -14

2 - 2 (8) = -14

2 - 16 = -14✓

hope this helped happy learning

Considering the expression of a line, the slope of the line that passes through the pair of points (3, -4) and (-2,0) is -1.

A linear equation o line can be expressed in the form y = mx + b

where

Knowing two points (x₁, y₁) and (x₂, y₂) of a line, the slope of the line can be calculated using:

m= (y₂ - y₁)÷ (x₂ - x₁)

In this case, being (x₁, y₁)= (3, -4) and (x₂, y₂)= (-1, 0), the slope m can be calculated as:

m= (0 - (-4))÷ (-1 -3)

m= (0 +4)÷ (-1 -3)

m= 4÷ (-4)

m= -1

Finally, the slope of the line is -1.

Learn more about the equation of a line having 2 points:

brainly.com/question/16137599

brainly.com/question/2503591

#SPJ1

The equation of the given line in the diagram above is expressed as: b. y = 2/3x.

For a line that passes through the origin (0, 0) of a graph, the equation that represents the line can be written in slope-intercept form as y = mx, where the slope of the line is represented as m.

The y-intercept of this type of line is zero, that is why we have the equation expressed as y = mx. Where the y-intercept is not equal to zero, the equation of the line would be expressed as y = mx + b, where b is the y-intercept and m is the slope of the line.

Find the slope of the line using two points on the line, (0, 0) and (3, 2):

Slope of the line (m) = (2 - 0)/(3 - 0)

Slope of the line (m) = 2/3.

To write the equation of the line, substitute m = 2/3 into y = mx:

y = 2/3x.

The equation is: B. y = 2/3x.

Learn more about the equation of a line on:

https://brainly.com/question/13763238

#SPJ1

Sandy hiked 13.6 miles on Sunday

The correct option is option c)

What is subtraction?

Subtraction is a basic arithmetic operation in which we remove a number from another number. the other arithmetic operations include addition ,multiplication and division

We are given that, Sandy hiked a total of 37.8 miles in 3 days.

Also that She hiked 12.3 miles on Friday and 11.9 miles on Saturday.

Let the miles hiked by her on Sunday be x

Hence the equation can be given as

37.8=12.3+11.9+x

x=37.8 - 24.2

x= 13.6 miles

Sandy hiked 13.6 miles on Sunday

Hence the correct option is option c)

To learn more about subtraction please refer

https://brainly.com/question/13378503

#SPJ13