Ruth is at the park standing next to a slide.
Ruth is 5 feet tall, and her shadow is 3 feet
long. If the shadow of the slide is 7.5 feet
long, what is the height of the slide? Assume
the triangles are similar.

Answer:

420 trees

Step-by-step explanation:

6 volunteers × 70 trees planted by each = 420 trees planted in total.

Answer:

C

Step-by-step explanation:

i used the substitution method to find it out

Answer:

The answers and steps are in the picture

Multiplying fractions

Ok, here's an example:

5/10 x 3/10

The numerator is the number on top. The denominator is the number on the bottom.

You multiply the numerators together to get 15.

Then, you multiply the denominators together to get 100.

Once you have 15/100, you would simplify it to get 3/20.

Dividing Fractions

Here's an example:

5/10 divided by 3/10

This is a little different.

Remember this: Keep, change, flip or KCF

So, keep the first fraction 5/10.

Flip the division sign into a multiplication sign.

Then, flip the 3/10 into 10/3

Right now we have 5/10 x 10/3

Now, use what you've learned from multiplying fraction and multiply the numerators together, than the denominators together.

So, you get 50/30.

Then you can simplify it into 5/3.

Hope I helped!

Answer: I think it's a relflection over x-axis followed by a rotation of 180 degrees which is b

Step-by-step explanation:

The transformations would generate the image of ΔABC with the coordinates A'(-2,-5), B'(-2,-2), C'(-6, -2) is a reflection over the x-axis followed by a rotation of 180° about the origin

There are three types of translations -

Given is to find the set of transformations would generate the image of ΔABC with the coordinates A'(-2,-5), B'(-2,-2), C'(-6, -2).

The transformations would generate the image of ΔABC with the coordinates A'(-2,-5), B'(-2,-2), C'(-6, -2) is a reflection over the x-axis followed by a rotation of 180° about the origin.

Therefore, the transformations would generate the image of ΔABC with the coordinates A'(-2,-5), B'(-2,-2), C'(-6, -2) is a reflection over the x-axis followed by a rotation of 180° about the origin.

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Answer:

a ≤ 15

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

3(a - 4) ≤ 33

Step 2: Solve for a

Here we see that any value a less than or equal to 15 would work as a solution to the inequality.

Discount amount = price x discount percentage as a decimal:

Discount amount = 62.00 x 0.15 = 9.30

Discount = $9.30

Answer:

$52.70

Step-by-step explanation:

Given:

About 3/5th of the registered voters participated in 2016 election.

California has 25 million registered voters.

To find:

The number of registered voters who participated in 2016 election.

Solution:

We have,

Total number of registered voters = 25 million

According to the question,

[tex]\text{Registered voters who participated}=\dfrac{3}{5}\times \text{Total number of registered voters}[/tex]

Now,

[tex]\text{Registered voters who participated}=\dfrac{3}{5}\times 25[/tex]

[tex]\text{Registered voters who participated}=3\times 5[/tex]

[tex]\text{Registered voters who participated}=15[/tex]

Therefore, there are 15 millions of registered voters who participated in 2016 election.

Answer:

y - 2 = 6(x + 9)

General Formulas and Concepts:

Algebra I

Point-Slope Form: y - y₁ = m(x - x₁)  

Step-by-step explanation:

Step 1: Define

Point (-9, 2)

Slope m = 6

Step 2: Write Function

Substitute variables into the general form.

y - 2 = 6(x + 9)

Answer:

Step-by-step explanation:

[tex]x^{2}[/tex] + 18x +c = 25+c

[tex]x^{2}[/tex] + 18x +[tex]9^{2}[/tex] =25+[tex]9^{2}[/tex]    (the c just cancels out and add [tex]9^{2}[/tex])

[tex](x+9)^{2}[/tex] -106 = 0

Answer:

Step-by-step explanation:

2160 = 2a * 3b * 5

2160/5 =2a*3b

432=6*a*b

432/6 = a*b

72 = a * b

72 = 8 * 9

a=8

b=9

The number 2160 can be expressed as 2a x 3b x 5 , where a = 8 and b = 9

Given data:

To find the values of a and b in the expression 2^a * 3^b * 5,

2160 = 2a * 3b * 5

Divide by 5 on both sides:

2160/5 =2a*3b

432=6*a*b

Divide by 6 on both sides:

432/6 = a*b

72 = a * b

The values of a and b can be determined as:

72 = 8 * 9

a = 8

b = 9

Hence, in the expression 2a x 3b x 5 = 2160, the value of a is 8 and the value of b is 9.

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Answer:

im really sorry if this is wrong, but my only thing i can think of is 12.5

Step-by-step explanation:

Answer:

the answers are A and C

Step-by-step explanation:

edge 2020

None of the triangles are congruent to each other.

A triangle is a three-sided polygon, which has three vertices. The three sides are connected with each other end to end at a point, which forms the angles of the triangle. The sum of all three angles of the triangle is equal to 180 degrees.

Given figures,

Measuring with scale and protractor

In triangle XYZ

Length of XY = 2.5 cm

Length  of YZ = 2.1 cm

Length of ZX = 1.8 cm

∠X = 58°

∠Y = 45°

∠Z = 77°

In triangle DEF

Length of DE = 2.8 cm

Length  of EF = 1.9 cm

Length of FD = 2.6 cm

∠D = 42°

∠E = 63°

∠F = 75°

In triangle PQR

Length of PQ = 1.9 cm

Length  of QR = 2.5 cm

Length of RP = 2.1 cm

∠P = 74°

∠Q = 57°

∠R = 49°

Hence, none of the triangles are congruent.

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Answer:

529.41

Step-by-step explanation:

From the above question, we are to find the Principal

The formula to find the Principal (Initial amount invested) is =

P = A / (1 + rt)

Where

A = Amount paid after t years. = 720

r = rate of interest = 6% = 0.06

t = time in years = 6

First, converting R percent to r a decimal

r = R/100 = 6%/100 = 0.06 per year.

Solving our equation:

P = 720 / ( 1 + (0.06 × 6)) = 529.41176470588

Approximately

P = 529.41

Therefore, Kaitlyn's brother borrowed 529.41 for school

Answer:

1

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

(x + 4)/(3x)

x = 2

Step 2: Evaluate

AnswBye

er:

Step-by-step explanation:

Answer:

Thanks

Step-by-step explanation:

Bye:(

Answer:

Step-by-step explanation:

Answer:

C. 1/4

Step-by-step explanation:

Since John has given 2/3 of his pencils to Roy, he has 1/3 of the total left. To find 1/4 of 1/3, multiply the numbers. 1/4(1/3) = 1/12. This means that he gave 1/12 of the beginning total to Maria. 2/3 can also be written as 8/12, and 1 can be written as 12/12. 12/12 - 8/12 = 4/12, and then 4/12 - 1/12 = 3/12. 3/12 can be simplified into 1/4

Answer:

John's remaining pencils in term of p = p/4

Hence, option 'c' is true.

Step-by-step explanation:

Let 'p' be the total number of pencils

Given that John gives 2/3 of his pencils = 2/3 of p

                                                                   = 2/3 × p

                                                                    = 2/3 p

Pencils left:

[tex]p-\frac{2}{3}p[/tex]

Factor out common term p

[tex]p-\frac{2}{3}p=p\left(1-\frac{2}{3}\right)[/tex]

           [tex]=\frac{1}{3}p[/tex]

           [tex]=\frac{p}{3}[/tex]

Pencils John gave to Maria = 1/4 × p/3 = p/12

The remaining Pencils in terms of 'p' = [tex]\frac{p}{3}-\frac{p}{12}[/tex]

                                                              [tex]=\frac{3p}{12}[/tex]

                                                              [tex]=\frac{p}{4}[/tex]

Thus, John's remaining pencils in term of p = p/4

Hence, option 'c' is true.

This question is incomplete

Complete Question

Three dressers are placed side by side. One dresser is 3 feet 9 inches wide, another is 3 feet 3 inches wide, and the third is 5 feet 11 inches wide. How wide are they combined? Write your answer in feet and inches. Use a number less than for inches

Answer:

12 feet 11 inches

Step-by-step explanation:

To solve the above question, we would have to add up all the width of thee dressers together.

Hence:

3 feet 9 inches + 3 feet 3 inches + 5 feet 11 inches

= (3 feet + 3 feet + 5 feet) + (9 inches + 3 inches + 11 inches)

= 11 feet +( 23 inches)

Note that

12 inches = 1 feet

Hence:

11 feet (23 inches/12 inches)

11 feet (1 feet + 11 inches)

= 12 feet 11 inches.

Therefore, the width of the 3 dressers combined = 12 feet 11 inches

Answer:

A. the median number of hours spent on Math was about 2.9

Step-by-step explanation:

The least number of hours was 0 and the greatest was 11.35. The IQR is between 2.27 and 4.54.

The median number of hours spent on Math was about 2.9. Therefore, option A is the correct answer.

The given box plot shows the number of hours students have spent on math this week.

The far left of the chart (at the end of the left “whisker”) is the minimum (the smallest number in the set) and the far right is the maximum (the largest number in the set). Finally, the median is represented by a vertical bar in the centre of the box.

Here, in the given box plot we can see the least number of hours was 0 and the greatest was 11.35. The IQR is between 2.27 and 4.54.

The vertical line represents the median, which is 2.9.

Therefore, option A is the correct answer.

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Answer:

6.50

Step-by-step explanation:

To start off, note that 6 1/2 is a mixed number, also known as a mixed fraction. It has a whole number and a fractional number. We have labeled the parts of the mixed number below so it is easier to follow along.

6 = Whole number

1 = Numerator

2 = Denominator

To get 6 1/2 in decimal form, we basically convert the mixed number to a fraction and then we divide the numerator of the fraction by the denominator of the fraction.

Here are the detailed math steps we use to convert 6 1/2 mixed number to decimal form:

Step 1: Multiply the whole number by the denominator:

6 × 2 = 12

Step 2: Add the product you got in Step 1 to the numerator:

12 + 1 = 13

Step 3: Divide the sum from Step 2 by the denominator:

13 ÷ 2 = 6.5

That's it! The answer to 6 1/2 in decimal form is displayed below:

6 1/2 = 6.50

Hope this helps

Answer:

The decrease is 21%

Step-by-step explanation:

So lets say the Original area is Pi X (Radius^2)

Lets call Radius as R

For the new radius, it would be: R + 0.1R which is 1.1R

The new area is: Pi X 1.1R^2, which going further is 1.21 after squaring 1.1.

The Original area is: Pi X Radius^2

To find the percent decrease, subtract the new area by the original, cross out Pi X Radius squared and you are only left with 21%

I am in middle school so I don't know if it is going to be incorrect, but I ask you to give it a try and tell me if it was right or not. I have barely done this topic but recently I had a bonus homework question on a question almost exactly like this and this is the way I did it and I was correct. Thanks! Hope it helped! :)

Answer:

19%

Step-by-step explanation:

I got it correct in the rsm

9514 1404 393

Explanation:

General information

All of these questions have to do with various translations of the square root function. The first problem deals with the basic function. Other problems translate the graph in various ways.

The basic square root function has its vertex at (0, 0) and is defined for x-values (domain) that are 0 or positive. The resulting y-values (range) are also zero or positive.

The basic function intercepts the x- and y-axes only at the point (0, 0), so both intercepts are 0. Unless the function is reflected vertically or horizontally, its minimum will be at the left end of any interval, and its maximum will be at the right end.

The transformation of a function g(x) to f(x) = g(x -a) +b causes it to be translated 'a' units to the right and 'b' units up. For the functions here, that means the vertex is translated from (0, 0) to (a, b). For the functions here, the vertex values are the limits of the domain and range, so those will be altered accordingly.

Problems

1.

a) The graph is shown in the attachment as f1 (orange).

b) vertex: (0, 0); domain: [0, ∞); range: [0, ∞)

c) x-intercept: 0; y-intercept: 0

d) On the interval [1, 4], the minimum is √1 = 1, and the maximum is √4 = 2.

__

2.

a) The graph is shown in the attachment as f2 (green). The basic function is translated left 1 and down 2.

b) vertex: (-1, -2); domain: [-1, ∞); range: [-2, ∞)

c) x-intercept: 3; y-intercept: -1 (read from the graph)

d) On the interval, [0.5, 5], the minimum is √1.5 -2 ≈ -0.78; the maximum is √6 -2 ≈ 0.45. Min and max values are shown in the table in the second attachment.

__

3.

a) The graph is shown in the attachment as f3 (purple). The basic function is translated up 3.

b) vertex: (0, 3); domain: [0, ∞); range: [3, ∞)

c) x-intercept: (none); y-intercept: 3 (the vertex)

d) On the interval, [2, 4], the minimum is √2 +3 ≈ 4.41; the maximum is √4 +3 ≈ 5. Min and max values are shown in the table in the third attachment.

__

4.

a) The graph is shown in the attachment as f4 (red). The leading multiplier of -2 causes the graph to be reflected over the x-axis and vertically expanded by a factor of 2 before being translated right 2 and up 3.

b) vertex: (2, 3); domain: [2, ∞); range: (-∞, 3]. Note the range is all y-values less than or equal to 3 because of the vertical reflection.

c) x-intercept: 4.25; y-intercept: (none). The x-intercept is found by solving ...

  0 = -2√(x -2) +3

  (-3/-2)² = x-2

  2 +2.25 = x = 4.25

d) On the interval, [4, 7], the minimum is -2√(7 -2)+3 = 3-2√5 ≈ -1.47; the maximum is -2√(4-2)+3 = 3-2√2 ≈ 0.17. Min and max values are shown in the table in the second attachment.

Answer:

[tex]\dfrac{-2}{3} \div 2\dfrac{1}{4} = \dfrac{-8}{27}[/tex]

Step-by-step explanation:

Given

[tex]\dfrac{-2}{3} \div 2\dfrac{1}{4} =[/tex]

Required

Solve

Start by converting the mixed number to improper fraction

[tex]\dfrac{-2}{3} \div \dfrac{9}{4} =[/tex]

Convert the division to muliplication

[tex]\dfrac{-2}{3} * \dfrac{4}{9} =[/tex]

[tex]\dfrac{-2*4}{3*9}=[/tex]

[tex]\dfrac{-8}{27}[/tex]

Hence:

[tex]\dfrac{-2}{3} \div 2\dfrac{1}{4} = \dfrac{-8}{27}[/tex]

Answer:

if this work mark brainliest

Answer:

. Verify experimentally that if two sides of a triangle

are equal, then the angles opposite to them are also

equal. (three triangle required)

You can't find slope intercept form because it is perpendicular so the equation is x= -8

Answer:

k = 3.5

Step-by-step explanation:

The equation representing a proportional relationship is

y = kx ← k is the constant of proportion

Divide both sides by x , then

k = [tex]\frac{y}{x}[/tex]

Using the point (1, 3.5 ), then

k = [tex]\frac{3.5}{1}[/tex] = 3.5

The constant of proportionality [tex](\(\frac{y}{x}\))[/tex] for the given proportional relationship is 3.5.

To find the constant of proportionality [tex](\(\frac{y}{x}\))[/tex], we can use the two given points (0, 0) and (1, 3.5) on the graph, which represent the proportional relationship between x and y.

The constant of proportionality [tex](\(\frac{y}{x}\))[/tex] is the ratio of y-coordinates to x-coordinates for any pair of corresponding points in a proportional relationship.

Let's calculate it using the points (0, 0) and (1, 3.5):

[tex]\(\frac{y}{x} = \frac{3.5}{1} = 3.5\)[/tex]

So, the constant of proportionality is 3.5.

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Answer:

x= 10 bc 4×10 equals 40 +21 equals 61

Answer:

3. missing angle is 35°

M＝cos∧-1(5/7.8)＝50.13°

N＝180°-90°-50.13°＝39.87°