What is 3/4 of 100kg

The proof of ΔRUV ≅ ΔSUT is shown below.

Given that:

RSTV is a rectangle and U is the midpoint of VT.

Here, We have to Prove:

⇒ ΔRUV ≅ ΔSUT

Now, We can prove as;

Statement                               Reason

1) RSTV is a rectangle               Given

2) Angle V and T are                Because every angle in a rectangle is 90

right triangle.

3) ∠V ≅ ∠T                               Because both are right angle.

4) U is the midpoint of VT.        Given

5) VU = UT                                By midpoint theorem.

6) VR ≅ TS                                Opposite sides of rectangle.

7) ΔRUV ≅ ΔSUT                       By SAS congruency theorem.

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Answer:

c) meter

Step-by-step explanation:

Millimeters and Centimeters are too short of units for a soccer field, and kilometers are too big.

Answer:

meter

Step-by-step explanation:

centimeters are way to small and millimeter is also way to small kilometer Is to big so it has to be a meter

all work should be in the picture, lmk if theres anything confusing

Answer:

4,000 pounds

Step-by-step explanation:

2,000 pounds = 1 ton

4,000 pounds = 2 tons

Chow,...!

Daniela should make the shelves 3 feet, 3.5 feet, and 5.5 feet long if she wants to use the entire 12 feet of wood.

Let's use "x" for the centre shelf's length. As a result, the top level will be half a foot shorter than the middle shelf, resulting in a length of (x - 0.5). In addition, the length of the lower shelf will be equal to (2(x - 0.5) - 0.5) because it will be half a foot shorter than the top shelf (2x - 1.5).

The sum of the lengths of the three shelves is the entire length of wood required for the three shelves:

x + (x - 0.5) + (2x - 1.5) = 4x - 2

Daniela possesses a section of number that is 12 feet long, so we can set up the equation as follows:

4x - 2 = 12

To solve for x, we obtain:

4x = 14

x = 3.5

3.5 feet should therefore be the centre shelf's length.

The lowest shelf will be (2(3) - 0.5) = 5.5 feet and the top shelf will be (3.5 - 0.5) = 3 feet based on the lengths we previously calculated.

Therefore, if Daniela wishes to utilise the entire 12 feet of wood, she should make the shelves 3 feet, 3.5 feet, and 5.5 feet long.

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Answer:

120 i think

Step-by-step explanation:

$11.88 rounded to the nearest tenth is 10 and there are 12 months in one year and 10 times 12 is 120

Answer:

13

Step-by-step explanation:

Answer:

I believe it was B.

Step-by-step explanation:

Answer:

X = 5

Step-by-step explanation:

break it down man

Answer:

All of the above

Step-by-step explanation:

Answer:

37

Step-by-step explanation:

If the certain truck traveled 7,605 miles in 15 days. The average number of miles traveled per day will be 507.

It is defined as the single number that represents the mean value for the given set of data or the closed value for each entry given in the set of data.

It is given that, a certain truck traveled 7,605 miles in 15 days.

The average number of miles traveled per day is obtained by dividing the total distance traveled by the total time taken as,

Suppose the average number of miles traveled per day is x,

x=76015 / 15

x=507 miles per day.

Thus, if the certain truck traveled 7,605 miles in 15 days. The average number of miles traveled per day will be 507.

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Answer:

1/6

Step-by-step explanation:

probabilty= no of possible outcome÷

total number of possible outcome

u can only get one 3 in a

six side dice

and the total number of possible outcome is 6

thus the answer is 1/6

(A) Given that:

Present value, P = $7000

Annual percentage rate, r = 5.2% = 0.052

Number of compounding periods, k = 2

(B) Plug the values into the formula

gives

Substitute 8 for n to find the amount of money after 8 years.

In 8 years, Dylan will have $10554.94 in account.

(C) Find the annual percentage yield using the formula

Plug the values into the formula.

The annual percentage yield for the savings account is 5.268%.

Answer: 0.5

Step-by-step explanation:

If the probability of the time to fly between New York City and Chicago is uniformly distributed with a minimum of 120 minutes and a maximum of 150 minutes. Therefore, the probability that a flight is between 125 and 140 minutes is 0.5

Answer:

280

Step-by-step explanation:

Answer:

8×35=280.

This is the best I can give to you

Answer:

-5+√2 and -5-√2

Step-by-step explanation:

With the quadratic formula:

\(\displaystyle x^2 + 10x + 25 = 2\\\\x^2+10x+23=0\\\\x=\frac{-10\pm\sqrt{10^2-4(1)(23)}}{2(1)}=\frac{-10\pm\sqrt{100-92}}{2}=\frac{-10\pm\sqrt{8}}{2}=\frac{-10\pm2\sqrt{2}}{2}=-5\pm\sqrt{2}\)

We can also complete the square (which is faster):

\(x^2+10x+25=2\\(x+5)^2=2\\x+5=\pm\sqrt{2}\\x=-5\pm\sqrt{2}\)

Answer:

The perimeter is

Step-by-step explanation:

perimeter is the whole distance you will go around the shape

Perimeter= 19 +3+(19-5)+(8-3)+5+8

= 19+3+14+5+5+8

= 54

For area, cut the triangle into small and big rectangle

Area = 19 * 3+ (8-3) * 5

= 57 + 25

= 82

Answer:

-4170

Step-by-step explanation:

Given:

[27+3]{14-3(15-5) -53-51-19​}

30{14-3(10)-123}

30{14-30-123}

30*(-139)

-4170

Answer is -4170

The Amy has 42 books, Betty has 36 books, and Carol has 18 books.

Let's set up equations to represent the given information:

Let A represent the number of books Amy has.

Let B represent the number of books Betty has.

Let C represent the number of books Carol has.

Let's say Amy has x books.

Betty has 6 books less than Amy, so Betty has (x - 6) books.

Carol has half as many books as Betty, so Carol has (x - 6)/2 books.

According to the problem, the total number of books they have is 96.

So, we can write the equation:

x + (x - 6) + (x - 6)/2 = 96

To solve the equation, we can simplify it by multiplying through by 2 to remove the fraction:

2x + 2(x - 6) + (x - 6) = 192

2x + 2x - 12 + x - 6 = 192

5x - 18 = 192

5x = 210

x = 42

Amy has 42 books.

Betty has (42 - 6) = 36 books.

Carol has (36)/2 = 18 books.

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Step-by-step explanation:

how where is the graph cause I don't understand that

From greatest to least5.25, 1, 3/4 (or 0.75), -5/2 (or -2.5), -8.345

To sort these numbers from largest to smallest, we must establish a consistent format for swift comparison.

Among the various numbers included are whole figures, fractions and decimals, causing us to mix them uniformly first so that they match— in decimals.

-5/2 = -2.5

5.25 = 5.25 (no alteration required)

1 = 1.0 (to simplify analysis, only adding decimal points)

3/4 = 0.75

-8.345 = -8.345 (essentially unchanged)

At this point, we can effortlessly contrast and compare the numbers.

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Using Scale Factor, the value of x = 33.6.

The ratio of the scale of an original thing to a new object that is a representation of it but of a different size is known as a scale factor (bigger or smaller).

Scale factor = Dimension of the new shape / Dimension of the original shape is the fundamental formula used to calculate it.

The formula is expressed as Scale factor = Larger figure dimensions Smaller figure dimensions in the event that the original figure is enlarged.

Dimension of the large triangle divided by the little triangle is the formula to utilize.

Based on the accompanying figure,

The little triangle's corresponding side length is 28, whereas the giant triangle's side length is x.

Scale factor = 6/5 Scale factor = 6/5 = 28

x = 33.6

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Complete Question -

If the figures below are similar with a scale factor of 6:5, find the value of x

Ok, so

Ivanna is driving on the freeway at a constant speed. She then speeds up to pass a truck. After passing the truck, she exits the freeway and slows

down.

Notice that if the speed is constant, that means that the speed won't increase or decrease its value.

Then, the proper graph could be:

And the correct answer for (a) is c.

Now, the sight-seeing ship is stopped in the water for an hour. This means that it didn't change its distance. Then, the captain heads the ship back to the shore at a constant rate, which means that the distance to the shore is 0. The ship stays there for a while and then returns to the open sea.

Now, the correct graph will be:

The correct option is a.

The inverse function:  \(f^{-1} (x) =\) \((\frac{x -5}{5} )^{2} -13\)

The inverse is defined on the domain x < 5 and x ≥ -13 for the original function, which means that the range of the original function is y ≥ 5.

A function is a relationship that exists between two sets of numbers, with each input from the first set, known as the domain, corresponding to only one output from the second set, known as the range.

Given function is;   \(f(x) = 5\sqrt{(x + 13)} + 5\)

To find the inverse of the given function, we first replace f(x) with y:

⇒  \(y = 5\sqrt{(x + 13)} + 5\)

Subtract 5 from both sides:

⇒ \(y -5 = 5\sqrt{(x + 13)}\)

⇒ \(\frac{(y -5)}{5} = \sqrt{(x + 13)}\)

⇒ \((\frac{y -5}{5} )^{2} = x + 13\)

⇒ \((\frac{y -5}{5} )^{2} -13 = x\)

Now we have x in terms of y, so we can replace x with f⁻¹(x) and y with x to get the inverse function:

f⁻¹(x) = \((\frac{x -5}{5} )^{2} -13\)

The domain of the inverse function is x ≥ 5, because this is the range of the original function, and we were given that the inverse is defined on the domain x < 5. However, we must also exclude the value x = 5, because the denominator of the fraction \((\frac{x -5}{5} )^{2}\) becomes zero at this value. Therefore, the domain of f⁻¹(x) is x > 5.

We were given that x ≥ -13 for the original function, which means that the range of the original function is y ≥ 5. Therefore, the domain of the inverse function becomes the range of the original function, and the range of the inverse function becomes the domain of the original function.

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Answer:

Your choice is correct

Step-by-step explanation:

The first choice

Answer:

15

Step-by-step explanation:

Let's name every side.

AB = 11

AD = 12

CD = 20

We should find out what is the value of BC.

We can draw height from point B - BK.

Let's look at triangle BCK. It is right triangle. To find CK, we may do: CK = 20 - 11 = 9. And we know that BK = AD = 12. So, we can find hypotenuse by Pythagorean theorem.

x² = 144 + 81 = 225 => x = 15

Answer:

90,000

Step-by-step explanation:

The probability that you win first prize and your friend wins second prize is given as follows:

B. 9/990.

A probability is calculated as the division of the desired number of outcomes by the total number of outcomes in the context of a problem/experiment.

The total number of outcomes is given as follows:

990.

The number of desired outcomes is of 9, as:

Hence:

1 x 1 x 9 = 9.

Meaning that the probability is of:

p = 9/990.

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