GEOMETRY Find the volume of the figure

Given:

Let us consider the given sides are:

[tex]BD=21m[/tex]

[tex]BC=25m[/tex]

[tex]DE=40m[/tex]

[tex]AB=xm[/tex]

To find:

The length of side AB.

Solution:

Suppose the measure of AB be x.

From the given figure it is clear that,

[tex]\angle ADE \cong \angle ABC[/tex]                 (Right angles)

[tex]\angle ADE \cong \angle ABC[/tex]                  (Corresponding angles)

In triangles ABC and ADE, two corresponding angles are congruent. So, by AA property of similarity,

[tex]\Delta ABC\sim \Delta ADE[/tex]

We know that, corresponding sides of similar triangle are proportional.

[tex]\dfrac{AB}{BC}=\dfrac{AD}{DE}[/tex]

[tex]\dfrac{x}{25}=\dfrac{(x+21)}{40}[/tex]

[tex]40x=25(x+21)[/tex]

[tex]40x=25x+525[/tex]

Isolating the x terms, we get

[tex]40x-25x=525[/tex]

[tex]15x=525[/tex]

[tex]x=\dfrac{525}{15}[/tex]

[tex]x=35[/tex]

Hence, the measure of AB is 35 m.

Answer: I thinks it’s B

Step-by-step explanation:

Answer:

the price of an adult ticket is $3 and a child ticket is $2

Step-by-step explanation:

Answer:

2.75cm

Step-by-step explanation:

Given data

Area of circle=  23.79cm^2

We know that the formula for the area of a circle is

Area= πr^2

Substitute

23.79=3.142*r^2

23.79/3.142= r^2

7.57=r^2

Square roo both sides

r= √7.57

r= 2.75 cm

Hence the radius is 2.75cm

Answer:

answer: 72

Hope that helps!

Answer:

A. 5 PM

Step-by-step explanation:

5 PM if they woke up at 7 AM as teens under 16 cannot work more than 9 hours

Answer:

the answer is C - 9:00 pm I guess

Answer:

6

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

just took test

Answer:

CE = 3

Step-by-step explanation:

Given 2 intersecting chords, then the product of the parts of one chord is equal to the product of the parts of the other chord, that is

CE × ED = AE × EB , that is

CE × 6 = 18 ( divide both sides by 6 )

CE = 3

Answer:

Step-by-step explanation:

you have to isolate x, the variable. to do so, you have to invert the number to 'cancel' it out

Answer: 32/56, 0.57, 57% rounded = 60%

Step-by-step explanation: 8 times 7 =56 and 8 times 4= 32. our fraction is 32/56. divide 32 by 56 to make out a decimal= 0.57. Multiply 0.57 by 100 to make out a percent = 57%

If you go to school 4 days in a week, you spend 19.1% of that week at school.

percentage, a relative value indicating hundredth parts of any quantity.

The portion of a weekday spent at school is 8 hours out of 24 hours, since there are 24 hours in a day. Therefore:

As a fraction: 8/24

As a decimal: 8/24 = 0.3333

As a percent: 8/24 = 0.3333... = 33.33...%

If you go to school 4 days in a week, then the total time spent at school in a week is:

Total time = 8 hours/day × 4 days = 32 hours

There are 7 days in a week, so the total hours in a week is:

Total hours in a week = 7 days/week × 24 hours/day = 168 hours

To find the percentage of a week spent at school, we can divide the total time spent at school by the total hours in a week and multiply by 100:

Percent of week spent at school = (32 hours / 168 hours) × 100% = 19.05%

Therefore, if you go to school 4 days in a week, you spend 19.1% of that week at school.

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Answer:

3rd option "The data point for player G is an outliner"

His weight is on the extreme side compared to the other players

and plus the other answers are just wrong

but the 4th option may be a possible answer

Answer:

Step-by-step explanation:

Can you at least put the questio here

Answer:

A

Step-by-step explanation:

I just looked it up lol but I hope I helped

The area of the two bases of the cylinder is given as follows:

C. 31.4 cm².

The area of a circle of radius r is given by the multiplication of π and the radius squared, as follows:

A = πr²

The base of a cylinder is circular, hence the area of the base of the cylinder is obtained using the formula presented above.

The radius for the cylinder is given as follows:

r = 2.235 cm².

Considering that there are two bases, the total area for the base of the cylinder is given as follows:

A = 3.14 x 2.235² = 31.4 cm².

The radius for the cylinder is given as follows:

r = 2.235 cm².

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Answer: 63.114

Step-by-step explanation:

Multiply like normal but don’t bring your decimal down count how many number are behind the decimal. You have 2 on the first number and 1 on the second so count 3 places

Answer:

63.114

Step-by-step explanation:

See the picture I attached, I hope this helps!

2 is 4 more than -2

I know this because there is no positive number -4 from 2 so you need to go to the negatives which means 2, 1 ,0, -1,-2.

Hope this helped<3

Have a wonderful day...

-Dignoris :)

Answer:

(a)  s = the original price = $28.38 / 0.67 = $42.36

Step-by-step explanation:

Let s represent the original price of the snowsuit.  

If $28.38 is a discount of 33% from the original price, then (1.00 - 0.33)s = $28.38, or 0.67s = $28.38.

(a)  s = the original price = $28.38 / 0.67 = $42.36

(b) if taxes are 7% then the sale price is (1.07)($42.36) = $45.32.

Of course, if the tax rate is other than 7%, the total sale price will be different.

Answer:

the maid

Step-by-step explanation:

there are no corners in the circular house haha

Answer: 120,000 meters²

Step-by-step explanation:

First find the area of all the land both paved and unpaved:

= Length * Width

= 260 * 500

= 130,000 meters²

The find the area paved:

= 50 * 200

= 10,000 meters²

The area left unpaved:

= Total area - Paved area

= 130,000 - 10,000

= 120,000 meters²

Answer:

1/4 or 0.25

Step-by-step explanation:

The probability that a randomly selected senior voted for an eagle mascot is 11/68.

Given that, the Central High School students voted to select a school mascot. The results of the vote are recorded in the table.

We need to find what is the probability that a randomly selected senior voted for an eagle mascot.

Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event. For an experiment having 'n' number of outcomes, the number of favourable outcomes can be denoted by x. The formula to calculate the probability of an event is as follows.

Probability(Event) = Favorable Outcomes/Total Outcomes = x/n

Now, probability = 55/340 =11/68

Therefore, the probability that a randomly selected senior voted for an eagle mascot is 11/68.

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Answer:

199.5

Step-by-step explanation:

Add all the numbers and divide by  number of responses aka 6

Answer:

C. She could spin a spinner divided into five equal sections three times. On the spinner, four sections represent customers who buy goldfish and one section represents customers who do not buy goldfish.

Step-by-step explanation:

We are told that four out of five customers who bought pets chose goldfish.

Thus;

P(those who bought pets also chose gold fish) = 4/5

Therefore;

P(those who bought pets but do not buy gold fish) = 1 - (4/5) = 1/5

Now, she wants to know the estimated probability that three randomly selected customers buying pets would not buy goldfish.

The probability we have is 1/5.

Therefore,to accommodate the 3 randomly selected customers, we have to multiply the numerator and denominator for each probability by 3.

Thus;

P(those who bought pets also chose gold fish) = 4/5 × 3/3 = 12/15

P(those who bought pets but do not buy gold fish) = 1/5 × 3/3 = 3/15

Looking at the new probabilities, the simulation she can use is to divide a spinner into five equal sections three times so that for each section, we can have the probability of 1/5 and 4/5.

Thus, option C is correct.

Answer:

5x (3x + 2)

Step-by-step explanation:

15x² + 10x​

5x (3x + 2)

Answer:

Here we want to complete the blank to make the equality true:

( ) = (2 - 6)*(-4)

The equality is true if we have the same value in both sides, so we can think of this as an algebraic equation:

x = (2 - 6)*(-4)

We just need to find the value of x.

Then let's solve the right side:

x = (2 - 6)*(-4) = (-4)*(-4)

Remember the rule of signs:

(-)*(-) = (+)

x = (-4)*(-4) = 4*4 = 16

Then we need to complete the blank with the number 16

(16) = (2 - 6)*(-4)

Answer:

74.6

Step-by-step explanation:

Tp find the average, add all the scores and divide by the number of scores.

56 + 90 + 67 + 82 + 78 =  373

Now divide 373 by 5.

373 / 5 = 74.6

Answer:

No

Step-by-step explanation:

No, because one of the x-value is used more than once, this graph is not a function.

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Answer:

I believe the answer is 250. I hope this helps Bye!

Answer: mCBW = 34°

Step-by-step explanation:

117 = 17x + 42x - 1

117 = 59x -1

118 = 59x

2 = x

Substitute!!! 17(2) = 34

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