An easel with sides of equal length opened and placed on a desk. What type of triangle is formed by the easel and the desk by sides and by angles?

Answer:

4

Step-by-step explanation:

Plug in each given value into the expression to see if it is true.

Set given: {2 , 3  , 4}

Equation given: x + 2 = 6

First, plug in 2 for x. When x = 2:

x + 2 = 6

(2) + 2 = 6

4 ≠ 6.

Next, plug in 3 for x. When x = 3:

x + 2 = 6

(3) + 2 =6

5 ≠ 6.

Finally, plug in 4 for x. When x = 4:

x + 2 = 6

(4) + 2 = 6

6 = 6 (True).

In the given set, only 4 complete the equation.

~

Answer:

1) 13 ft.

2) 23.3 m (when rounded to 1 dp)

Step-by-step explanation:

The Pythagorean theorem states that [tex]a^2+b^2=c^2[/tex] when a and b are the two legs (the sides adjacent to the right angle) and c is the hypotenuse (the longest side). This only applies to right triangles.

1) Question 1

The lengths of the two legs in the image are 12 ft. and 5 ft. We know that these are the legs because they are the sides adjacent to the right angle. We're solving for the length of the ladder, which in this case would represent the hypotenuse (c). Plug the values 12 and 15 into the equation as a and b and solve for c:

[tex]a^2+b^2=c^2\\12^2+5^2=c^2\\144+25=c^2\\144+25=c^2\\169=c^2[/tex]

Take the square root of both sides

[tex]\sqrt{169}=\sqrt{c^2} \\13=c[/tex]

Therefore, the length of the ladder is 13 ft.

2) Question 2

The lengths of the legs in the image are 20 m and 12 m. Again, we know that these are the legs because they are the sides adjacent to the right angle, which in this case would be the corner of the garden. We're solving for the length of the fence going diagonally from one corner to the other, which represents the hypotenuse (c). Plug the values 20 and 12 into the equation as a and b and solve for c:

[tex]20^2+12^2=c^2\\400+144=c^2\\544=c^2[/tex]

Take the square root of both sides

[tex]\sqrt{544}=\sqrt{c^2} \\23.3=c[/tex]

Therefore, the length of the fence when rounded to 1 decimal point is 23.3 m.

I hope this helps!

Answer:

Step-by-step explanation:

Using Pythagorean therom ( A aquared + b Squared = c Squared) the answer to the first one is (12 x 12)+( 5 X 5 ) = 169 ft  ( i think)

second one hard srry i not smort forgot how to do person above me correct

Answer:

x= −7/5

Step-by-step explanation:

Step 1: Distribute and combine like terms

3(x−6)−8x=−2+5(2x+1)

(3)(x)+(3)(−6)+−8x=−2+(5)(2x)+(5)(1)(Distribute)

3x+−18+−8x=−2+10x+5

(3x+−8x)+(−18)=(10x)+(−2+5)(Combine Like Terms)

−5x+−18=10x+3

−5x−18=10x+3

Step 2: Subtract 10x from both sides.

−5x−18−10x=10x+3−10x

−15x−18=3

Step 3: Add 18 to both sides.

−15x−18+18=3+18

−15x=21

Step 4: Divide both sides by -15.

Hope this helps! :)

Answer:

Step-by-step explanation:

use formula

F = 1/2*sqrt[ 4* r^2 -CD^2 ]  

F = 4.4721

Answer:

8

Step-by-step explanation:

2 is 40% of 5, so if we stay within this data, then she will win 40% of the next 20 games she plays. 40% of 20 is 8, so she will win 8 games out of 20

Answer:

Each age of the triplets should be 8 years old.

Step-by-step explanation:

38-14=24

24 divided by 3 = 8

Answer:

Triplets are 8 not sure on the equation but I think its y = 8x + 38.

Step-by-step explanation:

I'm assuming that all their ages together equal 38 therefore I would take,

38 - 14 = 24; this means that the triplets ages added together equal 24. Since triplets means 3 I will take,

24 dived 3 = 8.

I check my work by doing 14 + 8 + 8 + 8 = 38.

you asked for an equation I'm sure what you mean but I can try; I'm putting it into slope intercept form.

y = 8x + 38

Answer:

Step-by-step explanation: Last one

Answer:

[tex]x\geq 6[/tex]

Step-by-step explanation:

The last answer listed

Answer:

$26.40

Step-by-step explanation:

22% = 0.22

120(0.22) = 26.4

The distance from point A to B is 1 foot.

Given,

There are 12 steps in the staircase.

We need to find the distance of the steps.

The distance is given by AB.

Feet is the plural form of the foot.

It states that in a right-angle triangle the hypotenuse is equal to the squares of the other two sides.

If the hypotenuse is H and the other two sides are A and B.

H² = A² + B²

We have a figure,

Where it is in a right-angled triangle.

Two sides are given: 7.5 inches and 10 inches.

And hypotenuse  = AB.

Applying the Pythagorean theorem.

7.5² + 10² = AB²

AB² = 56.25 + 100

AB² = 156.25

AB = [tex]\sqrt{156.25}[/tex]

AB = 12.5 inches

Now,

AB = 12.5 inches.

We need to convert it into feet.

12 inches =1 foot

Multiplying 12.5/12 on both sides.

12.5/12 x 12 inches = 12.5/12 x 1 feet

12.5 inches = 1.0416 feet

Rounding to the nearest tenth we get,

12.5 inches = 1 feet

AB = 1 feet

Thus the distance of the staircase from point A to B is 1 foot.

Learn more about the Pythagoras theorem here:

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Answer:

753.6 cubic units

Step-by-step explanation:

A collar of Styrofoam is made to insulate a pipe. Find its volume. The large radius R is to the outer rim. The small radius r is to the edge of the insulation. Use pi ≈ 3.14 r=2 R=4 h=20

The volume of the pipe formula is given as:

Use pi ≈ 3.14 r=2 R=4 h=20

Volume =h × π (R² -r²)

Volume =20 × 3.14 × (4² - 2²) cubic units

Volume = 62.8 × ( 16 - 4) cubic units

= (62.8 × 12 )cubic units

= 753.6 cubic units

The fraction -9 4/5 can be expressed as the sum of its integer and fractional parts, which is -9 + 4/5

The integer part of a mixed number is the whole number portion, while the fractional part is the remaining fraction.

In this case, the integer part of -9 4/5 is -9, and the fractional part is 4/5.

To express the mixed number as the sum of its integer and fractional parts, we simply add the integer and the fraction:

So, we have

-9 + 4/5

When evaluated, we get

-9 + 4/5 = -45/5 + 4/5 = -41/5

Therefore, -9 4/5 can be expressed as the sum of its integer and fractional parts, which is -9 + 4/5 = -41/5.

Read more about fractions at

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Answer:

1809 in.2.

Step-by-step explanation:

So we know that the formula of a circle's area is r^2 * pi.

In this case, the radius is 24 inches. 24^2 = 576. They tell us to use 3.14 for pi.

576 * 3.14 = 1808.64.

The area is 1808.64, which rounds up to 1809 in.2.

Hope this helps!

Answer:

c

Step-by-step explanation:

1809 in.2.

Answer:

Start by setting it up with the divisor 3 on the left side and the dividend 105 on the right side like this:

   3 ⟌ 1 0 5

Step 2:

The divisor (3) goes into the first digit of the dividend (1), 0 time(s). Therefore, put 0 on top:

       0    

   3 ⟌ 1 0 5

Step 3:

Multiply the divisor by the result in the previous step (3 x 0 = 0) and write that answer below the dividend.

       0    

   3 ⟌ 1 0 5

      0    

Step 4:

Subtract the result in the previous step from the first digit of the dividend (1 - 0 = 1) and write the answer below.

       0    

   3 ⟌ 1 0 5

     - 0    

       1    

Step 5:

Move down the 2nd digit of the dividend (0) like this:

       0    

   3 ⟌ 1 0 5

     - 0    

       1 0  

Step 6:

The divisor (3) goes into the bottom number (10), 3 time(s). Therefore, put 3 on top:

       0 3  

   3 ⟌ 1 0 5

     - 0    

       1 0  

Step 7:

Multiply the divisor by the result in the previous step (3 x 3 = 9) and write that answer at the bottom:

       0 3  

   3 ⟌ 1 0 5

     - 0    

       1 0  

         9  

Step 8:

Subtract the result in the previous step from the number written above it. (10 - 9 = 1) and write the answer at the bottom.

       0 3  

   3 ⟌ 1 0 5

     - 0    

       1 0  

     -   9  

         1  

Step 9:

Move down the last digit of the dividend (5) like this:

       0 3  

   3 ⟌ 1 0 5

     - 0    

       1 0  

     -   9  

         1 5

Step 10:

The divisor (3) goes into the bottom number (15), 5 time(s). Therefore put 5 on top:

       0 3 5

   3 ⟌ 1 0 5

     - 0    

       1 0  

     -   9  

         1 5

Step 11:

Multiply the divisor by the result in the previous step (3 x 5 = 15) and write the answer at the bottom:

       0 3 5

   3 ⟌ 1 0 5

     - 0    

       1 0  

     -   9  

         1 5

         1 5

Step 12:

Subtract the result in the previous step from the number written above it. (15 - 15 = 0) and write the answer at the bottom.

       0 3 5

   3 ⟌ 1 0 5

     - 0    

       1 0  

     -   9  

         1 5

     -   1 5

           0

You are done, because there are no more digits to move down from the dividend.

The answer is the top number and the remainder is the bottom number.

Therefore, the answer to 105 divided by 3 calculated using Long Division is:

35

0 Remainder

Step-by-step explanation:

Answer:

5 half of the e

Step-by-step explanation:

Answer:

Set 2 contains an outlier. The outlier would be 63. I would say the most affected measure of spread is the range.

Answer: 287.50

Hope this helps!

Answer:

It is 90.16

Step-by-step explanation:

You can do this quite simply actually.

First, convert the 56 percentage into a decimal.

So, it is .56.

Then all you need to do is multiply .56 x 161 and it will give you 90.16!

Hope this helps and if you can, rate and thank so more people can be helped :)!

Have a great day!

Answer:

649 inches cubed or in^3

Step-by-step explanation:

multiply all 3

so 12 x 6 x 9 =

648

Answer: its A

Step-by-step explanation:

Trust me I learned the hard way

The length of AC after dilation will be 20. Then the measure of the angle ∠A' will be 37°.

Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered.

here, we have,

We have given that,

Triangle ABC is dilated by a factor of 4 to produce AA'B'C'.

The triangle ΔABC is dilated by a factor of 4 to produce the triangle ΔA'B'C'.

Then the length of AC after dilation. We have

A'C' = scale factor x AC

A'C' = 4 x 5

A'C' = 20

Then the measure of the angle ∠A' will be

There is no effect of dilation on the angle.

∠A = ∠A' = 37°

Thus, the correct option is A.

More about the dilation link is given below.

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Answer: x=2/3

Step-by-step explanation:

x3=8/27

(x)^3=(2*2*2)/(3*3*3)

(x)^3=(2)^3/(3)^3

(x)^3=(2/3)^3

same power got cancel

x=2/3

Answer:

vdeuvhgcdfckzjhcvod ygxyfdcDcv

Step-by-step explanation:

Answer:

2

24

5

4

Step-by-step explanation:

The given recipe makes 8 bags.

To make 16 bags, Lily needs twice as many ingredients because 8 + 8 = 16.

Since 1 cup of raisins makes 8 bags, 2 cups of raisins will make 16 bags.

To show the mathematical way:

Variable w = number of cups of raisins

1/8 = w/16

Cross multiply

1 × 16 = 8 × w

16 = 8w

2 = w

2 cups of pretzels makes 8 bags so 6 cups of preztels will make how many bags?

Set up an equation:

Variable x = number of bags

2/8 = 6/x

Cross multiply

2 × x = 8 × 6

2x = 48

x = 24

6 cups of pretzels will make 24 bags.

If 0.5 cup of pecans = 2.5 cups of crackers, then 1 cup of pecans = y cups of crackers?

Variable y = number of cups of crackers

Set up equation:

0.5/2.5 = 1/y

Cross multiply

0.5 × y = 2.5 × 1

0.5y = 2.5

y = 5

1 cup of pecans will need 5 cups of crackers

2 cups of pretzels = 8 bags, so 1 cup of preztels = z bags?

Variable z = number of bags

Set up equation:

2/8 = 1/z

Cross multiply

2 × z = 8 × 1

2z = 8

z = 4

Answer:

A number is written in scientific notation when there is a number greater than or equal to 1 but less than 10 multiplied by a power of 10.

If we have a number greater than 10, we move the decimal point to the left until we have a number between 1 and 10. ...

Answer:

x² − 10x + 25  

Step-by-step explanation:

                        Express (x - 5)² as a trinomial in standard form.

                                              First, you rewrite it.

                                                    (x − 5)(x − 5)

                                              Next, you expand it.

                                                x² − 5x − 5x + 25    

                                       Last, you combine like terms.

                                                    x² − 10x + 25

Answer:

Bru how can u not know that

Step-by-step explanation:

1. 2 pieces

2. 0.008

3. 4 pieces

4.0.016

5. 8 pieces

6.0.32

7.16

8.0.64

Answer:

Translation

Step-by-step explanation:

Not completely sure.

Can I have Brainliest?

Answer:

Translation

Step-by-step explanation:

The square is just moved to another side, its not rotted or reflected (if it were reflection it would be in the -x side)

Because results has been normally distributed and every group of 100 people would have different heights .

Answer:

Two things we need to remember:

Speed of light = c = 299,792,458 m / s

This means that the light in one second covers a distance of 299,792,458 m

And for a circle of radius R, the is:

C = 2*pi*R

where:

pi = 3.14

Then if the radius of the earth is 6,378.1 km, then the of the earth is:

C = 2*(3.14)*6,378.1 km = 40,054.468 km

And we know that 1 km = 1000m

Then the circumference of the earth is:

C = (40,054.468*1000) m = 40,054,468 m

Now we need to see how many times the light can encircle the earth per second. (we assume that the light can move in a circular path, this is not really accurate to the reality)

We know that in one second the light can cover a distance of:  299,792,458 m

And the circumference of the earth is: 40,054,468 m

The quotient between these two distances is the number of times that the light can encircle the earth:

N = (299,792,458 m)/(40,054,468 m)  = 7.5

So light could encircle the earth 7.5 times per second.