An instrument maker creates a triangle in the shape of an isosceles triangle by bending a metal rod. the rod is 13 inches long, and the bottom of the triangle is longer than the two sides. what is the length of the longest side?

the length of the longest slide is inches. the other two sides will each be
inches in length.

Answers

Answer 1

The length of the longest slide is 5 inches. he other two sides will be 4  inches in length.

Length of the longest slide

Isosceles triangle

Given:

Total length=13 inches

Hence:

AC=BC<AB

Let AC=BC=x-1 inches

AB=x inches

Thus:

x-1+(x-1)+x=13

3x-2=13

3x=13+2

3x=15

divide both side by 3x

x=15/3

x=5 inches

Hence:

Other two side

x-1=5-1=4 inches

Therefore the length of the longest slide is 5 inches. he other two sides will be 4  inches in length.

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Answer 2

Answer:

4 in

Step-by-step explanation:

I Just Took the Test.


Related Questions

Given 184% what is the equivalent fraction and decimal in simplest form?

Answers

Step-by-step explanation:

184% = 46/25 = 1 21/25 as a fraction

Which graph shows a negative slope and a positive y-intercept?

Answers

Answer:

The last one ( bottom left)

Step-by-step explanation:

negative slope means the line is going downwards

positive y intercept means the line hits the y axis on a positive number

For questions 2 z 3. simplify each polynomial
2. 3x²+6-2x+5x-4x²+9
3. 2x²+6x-7x+8-3x²+1​

Answers

Answer:

2. [tex]-x^{2} +3x+15[/tex]

3. [tex]-x^{2} -x+9[/tex]

Step-by-step explanation:

We add like terms together to simplify

2.  3x²-4x²= -x²     -2x+5x= 3x  6+9= 15  all equal to -x²+3x+15

3.  2x²-3x²= -x²      6x-7x= -x    8+1=9      all equal to -x²-x+9

does anyone know this answer?

Answers

the question says that the samples included 100 people each, so it's just 100 multiplied by the amount of samples:

7×100=700

Answer: It looks like the answer is 50. But i would go over it with a calculator.

Step-by-step explanation:

How many balloons are in the air if there are 20 ballons and 5 pop how many are left

Answers

Answer:

15 balloons

Step-by-step explanation:

20 - 5 = 15

hope this helps:)

Answer:

15 ballons

Step-by-step explanation:

The catalog is advertising a stack of these cups that is 95 cm tall. Lori says, “That must be a misprint because a stack of that height is not possible.”



Do you agree or disagree with Lori? Explain your reasoning.

Answers

Answer:

in particular, the relationship between height of stack and number of cups yields a non-whole number of cups, corresponding to a height of 95 cm. In this context, that is not possible because we do not allow for parts of cups.

Step-by-step explanation:

It is possible for a stack of cups to be 95 cm tall depends on the size and shape of the cups and how they are stacked.

What is Area of Rectangle?

The area of Rectangle is length times of width.

Assuming the cups are all the same size and shape, the height of the stack would depend on the number of cups in the stack.

if each cup is 5 cm tall, a stack of 19 cups would be 95 cm tall (19 x 5 = 95).

If the cups are irregularly shaped or have varying sizes, it may be more difficult to stack them in a way that reaches 95 cm in height.

It is possible for a stack of cups to be 95 cm tall depends on the size and shape of the cups and how they are stacked.

It is possible for some stacks of cups to reach this height, but not necessarily all stacks of cups.

Hence, it is possible for a stack of cups to be 95 cm tall depends on the size and shape of the cups and how they are stacked.

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What is the percent change 3.9 to 0

Answers

Answer:

a decrease of 100%

Step-by-step explanation:

im not fully sure butni hope it helps

Four friends are sharing 5 cups of lemonade. If they share the lemonade equally, how many cups will each friend get?

Answers

Answer:

each friend will get 5/4 or 1.25 cups of lemonade

Step-by-step explanation:

5 divide by 4 since there are 4 friends.

so 5/4 of the lemonade will be shared by each friend.

Step-by-step explanation:

each friend would get 1.25 cups each

Which term best describes the trend shown on the scatter plot below?
No trend
Negative Trend
Positive Trend

Answers

Answer:

Positive Trend

Step-by-step explanation:

As the y-values tend to increase with increase in x-values, we can consider this scatter plot to have a positive trend.


What is the measure of the base of the rectangle if the area
of the triangle is 32 ft2 ?

Answers

Answer:

it would be a

Step-by-step explanation:

8x4=32

The base of the given triangle is calculated as: 16 ft

How to find the area of a triangle?

The formula that is used to calculate the area of a triangle is expressed as:

Area of triangle= ½ × base × height

We are given that:

Area = 32 ft²

Height = 4 ft

Thus:

32 = ½ × base × 4

32 = 2 * base

base = 32/2

base = 16 ft

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help me find the value of x I will give BRAINLIEST HELP QUICK

Answers

Answer:

560

Step-by-step explanation:

If this isn't correct Im sorry I rushed it should be right but if not it should be close.

Lance paid 6% sales tax on a $30 game. What is the total amount did Lance pay?

Answers

Answer:

The answer is attached.

The sum of three consecutive integers is 90. Find the integers. If the smallest integer is x, the equation will be. I NEED HELP PLS SOLVE THIS QUICKLY I BEG YOU.

Answers

Answer:

x = 29

Step-by-step explanation:

Take the smallest integer as x. The next one as (x+1) and the last one as (x+2)

x + (x+1) + (x+2) = 90

x + x + x + 3 = 90

3x = 87

x = 29

Hence, x = 29

Hope this helps out. Feel free to mark me as brainliest! :)

Solve for the variable:
√5-x= √6-x

Answers

Answer:

There are no solutions. this equation  seems wrong

Step-by-step explanation:

Work out
the area of this circle. Take
(Pi) to be
3.142 and give your answer to
2 decimal places.
11.2cm

Answers

If I’m guessing 11.2cm is the radius of the circle, your area would be 394.08cm squared. Have a good day

First one to answer, i will mark brainlist

Answers

Answer:

Sides in descending order:  YZ > ZX > XY

Step-by-step explanation:

Sum of all angles of triangle = 180

    104 +52 +  ∠Z = 180

            156 + ∠Z = 180

                      ∠Z = 180 - 156

                      Z = 24

The sides opposite to the biggest is the longest side.

Angles in descending order: ∠X  >  ∠Y >  ∠Z

Sides in descending order:  YZ > ZX > XY

Find another angle

m<Z

180-(104+52)180-15624°

We know higher the angle measure higher the opposite side and vice-versa

Here

X>Y>Z

Hence

YZ>XZ>XY

What is the area of the triangle given below?

Answers

Answer:

26

Step-by-step explanation:

Need help quick please! Find the surface area. Hint you will need to use Pythagorean theorem

Answers

Answer:

80

Step-by-step explanation:

Suppose a 12 acre plot of land is being divided into 1/4 acre lots for a hosing development. How many lots will there be in the development.​

Answers

Answer:

48 lots

Step-by-step explanation:

If sin = 2/5, what is csc ? (Answer must be in fraction form)

Answers

Answer:

csc x = [tex]\frac{5}{2}[/tex]

Step-by-step explanation:

using the identity

csc x = [tex]\frac{1}{sinx}[/tex]

then

csc x = [tex]\frac{1}{\frac{2}{5} }[/tex] = [tex]\frac{5}{2}[/tex]



Martin takes a test that has five multiple choice questions. Each question has three possible
answers. If Martin guesses on each question, in how many different ways can he answer the
questions on the test?

Answers

Answer:

about 2/5 of the question probability lol

Which of the following pairs of numbers has 16 as their greatest common factor?


32, 48

32, 48

32, 62

32, 62

48, 36

48, 36

42, 16

42, 16

Answers

Answer:

32, and 48. This is the greatest factor of 16

Thomas found a box that had a volume of 150 in3. He measured the height of the box to be 2 inches and the length was 10 inches more than the width. What is the width of the box?

Answers

The width of the rectangular box with  volume of 150 cubic inches is: 5 inches.

What is the Volume of a Box?

Volume of a box = (length)(width)(height).

Given the following:

Volume of the box = 150 in.³Height = 2 in.Width = w in.Length = w + 10 in.

150 = (w + 10)(w)(2)

2w² + 20w - 150 = 0

Factorize

(w - 5)(w + 15) = 0

w = 5, w = -15

The width cannot be negative, therefore, the width of the box is: 5 inches.

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Need help please answer ASAP!

Answers

#34.

If one's price be d

The expression is 20-2d

#35

20% means 0.2 or 2/10

So old area=150(100)=15000

New area increase

15000(2/10)=3000

New area

15000+3000=18000

Option C

#36

Prime numbers inbetween

2,3,5Probability=3/6=1/2

#37

3(x-2)=2x+63x-6=2x+6x=12

#38

1hr additional=1.5(2)=3$

Equation is

y=5+3x

So

12.5=5+3x7.5=3xx=2.5hours

Option A

Answer:

here i have tried 2 question hope it help u

Find the area of a circle with a diameter of 14 meters. Round your answer to the nearest hundredth of a square meter.

Answers

To find the area of the circle:

 ⇒ need to know the formula: [tex]\pi r^{2}[/tex]

r: radius or half of diameter's length ⇒ 7 meters

Let's calculate:

 [tex]Area = \pi (7)^2=49\pi =153.9380m^3[/tex]

The problem asks us to round to the nearest hundreth:

[tex]Area = 153.94m^3[/tex]

Answer: [tex]153.94m^3[/tex]

Hope that helps!

 

Calculate the values

Answers

Answer:

a=108;b=36;c=72

Step-by-step explanation:

Answer:

a = 108°

b = 36°

c = 72°

Step-by-step explanation:

Note : the sum of the interior angles of a regular pentagon = 540°

Then

The measure of one interior angle of a reg pentagon =540/5 = 108°

Therefore a = 108°

c = 180 - 108 = 72°

SRT is a new isosceles triangle then :

[tex]b=\frac{180-108}{2} = \frac{72}{2} =36[/tex]

y is directly proportional to the square root of x, y is 75 and x is 100. find a formula linking x and y

Answers

Answer:

y = 7.5[tex]\sqrt{x}[/tex]

Step-by-step explanation:

given y is directly proportional to [tex]\sqrt{x}[/tex] then the equation relating them is

y = k[tex]\sqrt{x}[/tex] ← k is the constant of proportion

to find k use the condition y = 75 , x = 100 , then

75 = k[tex]\sqrt{100}[/tex] = 10k ( divide both sides by 10 )

7.5 = k

y = 7.5[tex]\sqrt{x}[/tex] ← equation of proportion

help plsls I’ll brainlist i promise this one’s abit confusing tho.

Answers

Answer:

25

Step-by-step explanation:

Please refer to the picture;

Para hacer los laterales de una caja de madera de 40 cm de ancho, 40cm de largo y 35cm de altura, ¿que superficie de madera necesito?

Answers

Answer:

8800 cm^2

Step-by-step explanation:

superficie = [(40x40)x2] + [(40x35)x2] + [(40x35)x2]

s = (3200) + (2800) + (2800)

s = 8800 cm^2

Solve for x in the equation 3^2(x+3)÷8(x-4)=64÷2x

Answers

Answer:

Hope this helps, it was a hard equation... mark me brainliest

Step-by-step explanation:

9x+27÷8x-24=64÷2x

9x÷8x+3=64÷2x

9x÷8x*2x=61

x^3=244/9

x=

approximately  3.00411

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