PLEASE HURRY!!!

Lorena and Karla are creating an art project in the shape of a right triangle. They have a 92 cm-long piece of wood, which is to be used for the hypotenuse. The two legs of the triangular support are of equal length. Approximately how many more centimeters of wood do they need to complete the support?

A. 65.1 cm
B. 130.1 cm
C. 260.2
D. 125.7 ​

Answers

Answer 1
Answer Should be B) 130.1 cm
Answer 2

Approximately [tex]130.1[/tex] cm more centimeters of wood will need to complete the support.

What is right triangle ?

Right triangle is a triangle in which one angle is of [tex]90^0[/tex] .

We have,

Hypotenuse [tex]=92[/tex] cm

Let,

Perpendicular [tex]= x[/tex] cm

Base [tex]=x[/tex] cm

So,

Using the Pythagoras theorem,

[tex]H^2=P^2+B^2[/tex]

So,

[tex]92^2=x^2+x^2[/tex]

[tex]92^2=2x^2[/tex]

[tex]2x^2 = 8464[/tex]

[tex]x^2 = 4232[/tex]

⇒[tex]x=65.05[/tex]

So,

Perpendicular [tex]= 65.05[/tex] cm

Base [tex]=65.05[/tex] cm

So,

The required wood to complete support [tex]=65.05+65.05=130.1[/tex] cm

Hence, we can say that approximately [tex]130.1[/tex] cm more centimeters of wood will need to complete the support.

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PLEASE HURRY!!!Lorena And Karla Are Creating An Art Project In The Shape Of A Right Triangle. They Have

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If $n$ is a positive integer such that $2n$ has 28 positive divisors and $3n$ has 30 positive divisors, then how many positive divisors does $6n$ have

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As per the given equation the total number of positive divisors that $6$ has is 38.

What is the positive divisor?

The divisors (or factors) of a positive integer are the integers that evenly divide it.

The formula for calculating the total number of divisor of a number ′n′ where n can be represent as powers of prime numbers is shown as.

If N= paqbrc

Then total number of divisors = (a+1)(b+1)(c+1).

If we want to find the positive divisors for an integer n, we just take the integers 1, 2, 3, . . . , n, divide n by each, and those that divide evenly make up the set of positive divisors for n.

The divisors (or factors) of a positive integer are the integers that evenly divide it

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1 3/8 - 1/12 as a fraction

Answers

Answer:

31/24 or 1 7/24

Step-by-step explanation:

1 3/8 in an improper fraction is 11/8:

1 times the denominator (8)= 8, add the numerator (3), and get 11

then keep the original denominator

multiply 11/8 by 3 to get 33/24

multiply 1/12 by 2 to get 2/24

now you have the same denominator and can subtract

33/24-2/24= 31/24

if AG=5x-24 and GB=3x-12, find GB​

Answers

The value of line GB is 6

How to determine the value of the line

From the diagram shown, we can see that AG, GB and AB form a triangle with two of its sides being equal.

Also, line AG = line GB

Where;

Line AG = 5x - 24Line GB = 3x - 12

Then, we have;

Line AG = LIne GB

Substitute the expressions, we have;

5x - 24 = 3x - 12

Collect like terms

5x - 3x = - 12 + 24

Add or subtract like terms

2x = 12

Divide both sides by the coefficient of x

x = 12/ 2

x = 6

The, GB = 3(6) - 12 = 6

Hence, the value is 6

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Trapezoid DEFG is dilated by scale factor of 2\3 to form trapezoid D'E'FG. Side E'F' measures 32. What is the measure of side EF?

Answers

Answer: 48

Step-by-step explanation:

Given

Trapezoid DEFG is dilated by a scale factor of  [tex]\frac{2}{3}[/tex]

[tex]E'F'=32[/tex]

Suppose the length of EF is [tex]x[/tex]

Multiply the side length of DEFG by [tex]\frac{2}{3}[/tex] to form E'F'

[tex]\Rightarrow E'F'=x\times \dfrac{2}{3}\\\\\Rightarrow 32=x\times \dfrac{2}{3}\\\\\Rightarrow x=16\times 3\\\Rightarrow x=48[/tex]

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Write the name of the polynomial that is obtained when two polynomials are divided and leaves no remainder.

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Step-by-step explanation:

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Answers

Answer:

-8 , (0, -8)

Step-by-step explanation:

Y-intercepts

The y-intercept of a line is where a line intersects the y-axis, or the vertical axis.

Solution

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Answer:

The vertex is (1,-9)

The y intercept is (0, -8)

Step-by-step explanation:

This is a parabola.  The vertex is the low point since the parabola is opening upwards.

The vertex is (1,-9)

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A package states that there are 60 calories in 12 crackers and 75 calories in 15 crackers. Since the relationship is proportional, how many calories are there in 180 crackers?

Answers

answer:
900 calories

step-by-step explanation:
there are 60 calories in 12 crackers or 5 calories per crackers
60/12 = 5
there are 75 calories in 15 crackers or 5 calories per crackers
75/15 = 5
if there are 180 crackers
180 • 5
900 calories total

answer:

900 calories

step-by-step explanation:

there are 60 calories in 12 crackers or 5 calories per crackers

60/12 = 5

there are 75 calories in 15 crackers or 5 calories per crackers

75/15 = 5

if there are 180 crackers

180 • 5

900 calories total

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This should be right and I hope it helps :)

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Answer:

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Step-by-step explanation:

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Answers

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The inequality that shows the maximum number of hours Penelope can rent is 35 + 4x ≤ 75

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Answer:

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Answers

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

There is not a strong relationship between the points making the number 0.5 and it is going down so it is negative

Answer:

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Step-by-step explanation:

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Answers

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bye have a good morning/afternoon/evening!! <3

- berry

Step-by-step explanation:

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Answer:

Step-by-step explanation:

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At Florida A&M University, the ratio of students from Florida to students not from Florida is about `3\ :\ 1`.



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Based on the information given, the number of students from Florida will be; 9000 students.

What is an equation?

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We are given that At Florida A&M University, the ratio of students from Florida to students not from Florida is about 3 : 1

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Fraction from Florida = 3/4

Fraction of students not from Florida = 1/4

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= 9000

Hence, the number of students from Florida is 9000.

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Law of sines: Which measures are accurate regarding triangle JKL? Check all that apply. M∠K = 84° m∠K = 94° k ≈ 3. 7 units k ≈ 4. 6 units KL ≈ 2. 5 units KL ≈ 3. 2 units

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The median's class interval is 20 hours and 30 minutes. And the average number of hours is thought to be 26.17.

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The median is the exact middle value of a dataset after it has been sorted. A measure of central tendency is the distance between the bottom 50% of data and the top 50% of values. The methods for determining the median will vary depending on whether you have an odd or even number of data points.

the class interval that have  median.

total is frequency is as -

∑f = 30

median class of corresponds to half of the value

∑th is the  value

i.e.  15th value.

least cumulative frequency higher than or equal to 15 is obtained by accumulating frequencies starting at the top.

[tex]2+8+9=19[/tex]

So, corresponds to the class interval  = [tex]20 < h\leq 30.[/tex]

Hence, median class is [tex]20 < h\leq 30.[/tex]

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Solve each equation by taking square roots. Show your work. Simplify your answers. Do not write your answers in decimal form.

Answers

Answer:

1) n=±2[tex]\sqrt{5}[/tex]

2) a=±3[tex]\sqrt{10}[/tex]

Step-by-step explanation:

1) [tex]n^{2}[/tex] =20

✰Take the square root of both sides n=±[tex]\sqrt{20\\}[/tex]

✰ Simplify [tex]\sqrt{20\\}[/tex] to 2[tex]\sqrt{5}[/tex]

→ n=±2[tex]\sqrt{5}[/tex]  

⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆

2) [tex]a^{2}[/tex] =90

✰ (Same as above) Take the square root of both sides ​a=±[tex]\sqrt{90\\}[/tex]

✰ Simplify [tex]\sqrt{90}[/tex] to 3[tex]\sqrt{10}[/tex]

→ a=±3[tex]\sqrt{10}[/tex]

Which rational number is equivalent to 2.42

Answers

Answer:

121/50

Step-by-step explanation:

121/150 =2.42

Answer this pls ASAP

Answers

Answer:

19cm^(3)

Step-by-step explanation:

Answer:

V = 9π cm³

Step-by-step explanation:

We require to find the height (h) of the cylinders

The volume (V) is calculated as

V = Ah ( A is the base area and h the height ), then

3πh = 18π ( divide both sides by 3π )

h = [tex]\frac{18\pi }{3\pi }[/tex] = 6

Then the height of the smaller cylinder = 6 - 3 = 3 cm

V = 3π × 3 = 9π cm³ ← volume of smaller can

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