find the perimeter and area of a right triangle with legs of 24 feet and 41.57 feet and a hypotenuse of 48 feet

Answer:

{0, -1, 11, 13 }

Step-by-step explanation:

the range of the function are the corresponding values of y from the set of points, in ascending order, that is

{0, -1, 11, 13 }

Answer:

Step-by-step explanation:

The range is the set of y values of the function.

{0, -1, 11, 13]

[tex]w-width\\2w-1-length\\w(2w-1)=2w^2-w-the\ area\\28\ ft^2-the\ area\\\\\text{The equation:}\\\\2w^2-w=28\qquad\text{subtract 28 from both sides}\\\\2w^2-w-28=0\\\\2w^2-8w+7w-28=0\\\\2w(w-4)+7(w-4)=0\\\\(w-4)(2w+7)=0\iff w-4=0\ \vee\ 2w+7=0\\\\w-4=0\qquad\text{add 4 to both sides}\\\boxed{w=4}\\\\2w+7=0\qquad\text{subtract 7 from both sides}\\2w=-7\qquad\text{divide both sides by 2}\\w=-3.5<0\\\\\text{The length:}\ 2(4)-1=8-1=7\\\\Answer:\ \boxed{\text{The length is equal 7\ ft}}[/tex]

Answer:

equation = 2w^2- w- 28 =0

length =7

Answer:

5/12

Step-by-step explanation:

1. Convert 1/4 to 3/12, then convert 1/3 to 4/12

2. Then add 3/12 and 4/12 together, which would be 7/12

3. Then subtract 12/12 by 7/12 which would be 5/12

                                         So, 5/12 is your answer.

                                                Hope this helps

Answer: 137 + 4(n-1)

Step-by-step explanation:

137 + 4(n-1)

Okay, let's test this starting with week 1:

137 + 4(1-1)

137 + 4*0

137, which is correct because she starts with 137.

Week 2:

137 + 4 (2-1)

137 + 4 * 1

137 + 4

141

Alright, let's see if it is correct if we do week 5:

137 + 4 (5-1)

137 + 4(4)

137 + 16

153

To know that 153 is right we could do 137 + 4 + 4 + 4 + 4, which equals 153.

Answer:

Step-by-step explanation:

I hope it will help you

Attachment

Answer:

Perimeter = 64.75 ft

Area = 213.91 ft

Step-by-step explanation:

13.875 ÷ 3 = 4.625

4.625 x 5 = 23.125 ft (This is the length of the rectangle)

4.625 x 2 = 9.25 ft (This is the width of the rectangle)

(23.125 x 2) + (9.25 x 2) = 64.75 ft (Perimeter)

23.125 x 9.25 = 213.90625 ft, or 213.91 ft if rounded to 2 d.p (Area)

The perimeter of the rectangle is approximately 64.75 feet and the area is approximately 213.91 square feet.

[tex]\[L = W + 13.875\][/tex]

We can use these two equations to solve for the values of \(L\) and \(W\).

First, let's use the ratio to set up an equation:

[tex]\[\frac{L}{W} = \frac{5}{2} \implies L = \frac{5}{2}W\][/tex]

Next, substitute this expression for L into the second equation:

[tex]\[\frac{5}{2}W = W + 13.875\][/tex]

Solving for w

[tex]\[\frac{3}{2}W = 13.875\][/tex]

[tex]\[W = \frac{2}{3} \times 13.875\][/tex]

[tex]\[W = 9.25\][/tex]

Now, use this value of \(W\) to find the length \(L\):

[tex]\[L = \frac{5}{2} \times 9.25 = 23.125\][/tex]

Now that we have the dimensions, we can calculate the perimeter and area:

1. perimeter of a rectangle with length \(L\) and width \(W\) is given by:

[tex]\[P = 2(L + W)\][/tex]

Substituting the values:

[tex]\[P = 2(23.125 + 9.25) \approx 64.75 \text{ feet}\][/tex]

2. Area of a rectangle is given by:

[tex]\[A = L \times W\][/tex]

Substituting the values:

[tex]\[A = 23.125 \times 9.25 \approx 213.91 \text{ square feet}\][/tex]

So, the perimeter of the rectangle is approximately 64.75 feet and the area is approximately 213.91 square feet.

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By analyzing the equation and using provided options, we find that the right values for the digits x, y, and z are 1, 2, and 3 respectively. When multiplied together, the product (x)(y)(z) equals 6.

The mathematical problem you've presented is akin to a simple addition of numbers, but with a twist: the digits x, y, and z each represent different unknown digits. Our task is to determine the value of the product (x)(y)(z) given the vertical addition:

Looking at the addition, we can see that when we add the second digit of the second row (2) with the first digit of the third row (x), the result must be a digit with a 1 carried over because there is a 1 in the hundred's place of the result. That means 2 + x has to be equal to 10 or 11 (since x is a digit, the highest value for x could be 9).

Using the option provided (d) x. 1, y. 2, z. 3, we can see that the column with z's would sum to 7 (4z), the column with x's would sum to 11 (since 1 + x = 11, x = 1), and the column with y's would sum to 14 (since y would then be 2) which fits the pattern of the problem provided. Therefore, the values for x, y, and z are 1, 2, and 3 respectively.

The value of (x)(y)(z) is thus 1 × 2 × 3 = 6.

Final answer:

To find the value of (x)(y)(z), we need to solve the equation 4z/27 + x5/y14 = 0. By substituting different values for x, y, and z, we find that (x)(y)(z) = 6.

Explanation:

To find the value of (x)(y)(z), we need to solve the given equation:

4z/27 + x5/y14 = 0

Since x, y, and z each represent a different digit from 0 to 9, we can try different values to solve for (x)(y)(z).

Let's start with the first term: 4z/27. The only possible value for z is 2, because 4z/27 must give us a rational number. So, let's substitute z = 2 into the equation:

4(2)/27 + x5/y14 = 0

8/27 + x5/y14 = 0

Next, let's solve for the second term: x5/y14. To make this term equal to 0, we can set x = 1 and y = 3. Substituting these values into the equation:

8/27 + 15/314 = 0

Now, let's find the value of (x)(y)(z) = (1)(3)(2) = 6.

Answer:

4.4 yd

Step-by-step explanation:

Scale = 50 yd:34 in

Distance from home = 3 × 50/34

Distance from home = 4.4 yd

[tex]\begin{array}{ccc}20.8&-&32\%\\x&-&100\%\end{array}\qquad\text{cross multiply}\\\\32x=(20.8)(100)\\\\32x=2080\qquad\text{divide both sides by 32}\\\\\boxed{x=65}[/tex]

The number that 20.8 is 32% of is 65, achieved by setting up an equation representing 32% of a number equal to 20.8 and solving for that number.

The question is asking you to find a number such that 32% of it equals 20.8. You represent this situation mathematically as '32/100 * X = 20.8', where 'X' is the number we need to find. Solving for 'X' gives us 'X = 20.8 ÷ (32/100)'. Performing this operation gives us 'X = 65'.

So, 20.8 is 32% of 65, which is the solution to the problem. The primary focus here is understanding percentages and how to solve these types of questions.

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Answer:

Multiply 60 by .40

60 * .40 = 24

Answer is B

Step-by-step explanation:

Answer:21.9

Step-by-step explanation:i just finished this question on a test and got it right hope this helps

Answer:

5(15+4)

Step-by-step explanation:

The greatest common factor is the greatest number that will divide two values. We have two values 75 and 20. Each has numbers which multiply together to give the number. We need to find the highest value or most in common they share. Each has the factors:

75: 1,3,5,15,25, 75

20: 1, 2, 4, 5, 10, 20

Both have 5 and this is the GCF. So we write the expression int he form 5(___+___). We divide each term by 5 to find the corresponding factor.

75/5= 15

20/5=4

5(15+4)

Answer:

5(15+4)

Step-by-step explanation:

5

15+

and (4)

add them all together.

Answer:

x = ± [tex]\sqrt{2}[/tex]

Step-by-step explanation:

given the 3 terms of a geometric sequence

[tex]\sqrt{x-1}[/tex], 1, [tex]\sqrt{x+1}[/tex], then the common ratio r

r = [tex]\frac{\sqrt{(x+1)} }{1}[/tex] = [tex]\frac{1}{\sqrt{(x-1)} }[/tex] ( cross- multiply )

[tex]\sqrt{(x+1)(x-1)}[/tex] = 1 ( square both sides )

(x + 1 )(x - 1 ) = 1 ← expand factors on left side )

x² - 1 = 1 ( add 1 to both sides )

x² = 2 ( take the square root of both sides )

x = ± [tex]\sqrt{2}[/tex]

The value of x is ±[tex]\sqrt{2}[/tex].

Given:

Geometric Sequence with first three terms.

[tex]\sqrt{x-1},1, \sqrt{x+1[/tex]

We have to find the value of x.

Now, if the given sequence is geometric then we can find the common ratio of the sequence.

The common ratio is given by:

r = [tex]\frac{1}{\sqrt{x-1} }[/tex] and r = [tex]\frac{\sqrt{x+1} }{1}[/tex]

Now, we can equate the both the values of r to solve for the value of x.

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

Now, multiplying the numerator on both sides by [tex]\sqrt{x-1}[/tex], we get:

[tex]\sqrt{x+1} \sqrt{x-1} =1[/tex]

[tex]\sqrt{(x-1)(x+1)}=1[/tex]

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

Now, squaring on both sides of the equation, we get:

⇒ x² - 1 = 1

⇒ x² = 2

Now, taking square root on both the sides, we get:

⇒ x = ±[tex]\sqrt{2}[/tex]

Therefore, for a given geometric sequence the value of x will be ±[tex]\sqrt{2}[/tex].

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Answer:

the correct answer is 100% C

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

the answer is 1/4 because 7/12 is larger than 1/2 but 1/4 is 2x smaller  

Step-by-step explanation:

The first table represents an exponential relationship.

Rule: [tex]\(y = 5 \times 1.5^x\)[/tex]

The second table represents a linear relationship.

Rule: [tex]\(y = 6x - 6\)[/tex]

The first table represents an exponential relationship.

Rule: The rule for the first table can be expressed as [tex]\(y = 5 \times 1.5^x\)[/tex]. Each (y) value is obtained by multiplying the previous (y) value by 1.5.

The second table represents a linear relationship.

Rule: The rule for the second table can be expressed as [tex]\(y = 6x - 6\)[/tex]. Each (y) value is obtained by multiplying the corresponding (x) value by 6 and then subtracting 6.

Answer:

Step-by-step explanation:

What are the triangles? Did you forget to attach a picture?

Answer: $ 753.34

Step-by-step explanation:

Since, here She earns $12 an hour and works 40 hours each week.

Therefore, her earning in two weeks = 2 × 12 × 40 = $ 960

Now, Her biweekly deductions are Social Security 6.2%. Medicare 1.45%, federal with out holding tax $73.25, state withholding tax $22.50, and health insurance $37.47.

Therefore, Her total deduction = (6.2+1.45)% of 960 + (73.25+22.50+37.47)= 73.44+133.22= 206.66

Since, Net pay is the amount of payee after deductions have been taken from the his gross pay.

Therefore, Net pay = total amount - total deduction = 960 - 206.66  = $ 753.34

Her net pay if she is paid biweekly is  $ 753.34.

we have given that,

She earns $12 an hour and works 40 hours each week.

Therefore, her earning in two weeks,

= 2 × 12 × 40

= $ 960

Her biweekly deductions are Social Security 6.2%. Medicare 1.45%, federal with out holding tax $73.25, state withholding tax $22.50, and health insurance $37.47.

Therefore,

[tex]Her total deduction = (6.2+1.45)% of 960 + (73.25+22.50+37.47)\\\\\\\\Her total deduction= 73.44+133.22\\ \Her total deduction= 206.66[/tex]

Net pay is the amount of payee after deductions have been taken from the his gross pay.

Net pay = total amount - total deduction

Therefore by using formula,

Net pay= 960 - 206.66

Net pay = $ 753.34

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Answer:

he called 1 page and 1/4

Step-by-step explanation: so 5/8+5/8=10/8 sooo.. simpify that and get 1 1/4

1  1/4

Answer:

11 4/5

(I think that is the answer)

Hope I helped :)

Answer:

Answer is to increase trials

Step-by-step explanation:

Theoretical Probability is what it is expected to happen whereas Experimental Probability is what actually happens.

What Jamie should take into serious consideration is that Experimental probability gets gradually closer to theoretical probability as the number of trials increases.

In other words, Jamie needs to increase the number of trials in order to match experimental and theoretical probabilities every time more and more.

Answer: letter A

to increase the number of trials

Step-by-step explanation:

Answer:

15 dimes and 10 nickels

Step-by-step explanation:

15 dimes because 15 multiplied by 10 cents is $1.50

10 nickels because 10 multiplied by 5 cents is $0.50

15 x 0.10 = 1.50         10 x 0.50 = 0.50

0.50 + 1.50 = 2.00

Answer:

15 dimes 10 nickles

Hope this helps!

Answer:

y=−4/3x+10

Step-by-step explanation:

Find the negative reciprocal of the slope of the original line and use the slope-intercept form  y=mx+b to find the line perpendicular to  3x−4y=−2.

Answer: p(x) = 8.7x - 1940

              p(500) = $2410

              p(1000) = $6760

              p(5000) = $41,560

Step-by-step explanation:

p(x) = r(x) - c(x)

      = 9.5x - (0.8x + 1940)

      = 9.5x - 0.8x - 1940

      = 8.7x - 1940

**********************************************************************

p(500) = 8.7(500) - 1940

           = 4350 - 1940

           = 2410

p(1000) = 8.7(1000) - 1940

             = 8700 - 1940

             = 6760

p(5000) = 8.7(5000) - 1940

              = 43,500 - 1940

              = 41,560

***************************************************************************

p(500) =    r(500)    -    c(500)

           = 9.5(500)  -  [0.8(500) + 1940]

           =    4750     - (400 + 1940)

           =     4750    -      2340

           =              2410

p(1000) =   r(1000)    -    c(1000)

            = 9.5(1000)  -  [0.8(1000) + 1940]

            =     9500     - (800 + 1940)

            =     9500     -      2740

            =              6760

p(5000) =    r(5000)    -    c(5000)

           = 9.5(5000)  -  [0.8(5000) + 1940]

           =    47500     - (4000 + 1940)

           =    47500     -      5940

           =              41,560

Answer:

$100

Step-by-step explanation:

if $20 is needed for one bus tip, then $40 is needed for the two buses that the teachers will need

so $240 - $40 = $200 to spend on bus rentals

since there are two buses, the $200 needs to be halved

therefore, each bus rental is $100

Step-by-step explanation:

This ≤ inequality sign means:

-5 ≤ 4

And then:

-3x ≤ 2

OR:

-5 ≤ 4 -3x ≤ 2

Hi!!! Sorry, I didn't know if they were suppose to be together or separate, so I just did it both ways!!! :) Really sorry if I am wrong...

Answer:

Alright well solve for d by cross multiplying

Exact form: d = 115/8

Decimal form: d = 14.375 Hope this helps have a nice day : )

Step-by-step explanation:

Answer:

1.524

Step-by-step explanation:

Answer:

1.52 meters

Step-by-step explanation:

The formula of a surface area of a cone:

[tex]SA=pi rl+\pi r^2[/tex]

r - radius

l - slant height

We have the diameter d = 6 in and a slant height l = 8 in.

[tex]d=2r\to r=6in:2=3in[/tex]

Substitute:

[tex]SA=\pi(3)(8)+\pi(3^2)=24\pi+9\pi=\boxed{33\pi\ in^2}[/tex]

If all angles have the same measure, then this is an equilateral triangle.

Therefore we have the equation:

4x - 30 = 3x - 5    add 30 to both sides

4x = 3x + 25     subtract 3x from both sides

x = 25

Check:

|AB| = 3x - 5 → |AB| = 3(25) - 5 = 75 - 5 = 70

|BC| = 2x + 20 → |BC| = 2(25) + 20 = 50 + 20 = 70

|AC| = 4x - 30 → |AC| = 4(25) - 30 = 100 - 30 = 70

CORRECT :)