What’s the length of a leg of an isosceles right triangle whose hypotenuse is 100?

Answer:

125

Step-by-step explanation:

5x5=25 25x5=125

5 to the 3rd power (5^3) in standard form is 1.25 * 10^2.

To express 5 to the 3rd power (5^3) in standard form, we'll calculate the result first and then represent it in standard form.

5^3 means multiplying 5 by itself three times:

5^3 = 5 * 5 * 5 = 125.

Now, to express 125 in standard form, we'll use the convention where a number is written as a product of a number between 1 and 10 and a power of 10. This form is used to make large or small numbers more manageable

To do this, we'll write 125 as 1.25 multiplied by a power of 10. Since 125 is equal to 1.25 multiplied by 100 (10^2), we can express it in standard form as:

125 = 1.25 * 10^2.

5 to the 3rd power (5^3) in standard form is 1.25 * 10^2.

In standard form, numbers are expressed as A × 10^n, where A is a number between 1 and 10, and n is an integer representing the power of 10 by which A is multiplied to form the number. In this case, A is 1.25, and n is 2, making it 1.25 × 10^2.

This form simplifies large numbers and is commonly used in mathematics and science for ease of representation.

For more such questions on standard form

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Answer:

3.40

Step-by-step explanation:

17 times .20 = 3.4

Answer:

21.

Step-by-step explanation:

20+1=21

You can like use a calculator for this stuff...

Answer:

you spent a total of 45 minutes

Step-by-step explanation:

you didnt give any answer choices so i just answered the question. if you spent 25 mins reading a book and 10 mins each playing 2 games (20 mins altogether) that makes a total of 45 minutes.

Hope this helps

Please mark brainliest :)

The volume of the cylinder is approximately 21727.938in^3.

The volume (V) of a cylinder is calculated using the formula:

V=πr^2 h

where:

π (pi) is a mathematical constant approximately equal to 3.14159,

r is the radius of the cylinder,

h is the height of the cylinder.

Given that the radius (r) is 16 inches and the height (h) is 27 inches, you can substitute these values into the formula:

V=π×(16in)^2 ×27in

Now, let's calculate the volume. Remember to use the value π as approximately 3.14159:

V≈3.14159×256×27

V≈3.14159×6912

V≈21727.938in^3

So, the volume of the cylinder is approximately 21727.938in^3.

Known :

Sa = 1017.36 yd²

Asked :

r = ...?

Answer :

Sa = 4πr²

1017.36 = 4 × 3.14 × r²

1017.36 = 12.56 r²

r² = 1017.36 ÷ 12.56

r² = 81

r = √81

r = 9 yd

So, the radius is 9 yd (D)

Hope it helpful and useful :)

Answer:

9 yd

Step-by-step explanation:

SA = 4 pi r²

1017.36 = 4 × 22/7 × r²

r² = 1017.36 × 7/88

r = 9 yd

Answer:

An equilateral triangle is a triangle with equal sides. Example: a triangle with each side 4 cm.

Answer:

Step-by-step explanation:

An equilateral triangle is a triangle with equal sides. Example: a triangle with each side 2 cm.

Answer:

64 ivy stems

Step-by-step explanation:

Ratio of ivy stems to centerpieces:

72/18 = 4 ivy stems per centerpiece

Therefore,

16 x 4 = 64

Answer:

64 ivy stems

Step-by-step explanation:

There's 72 ivy stems for 18 centerpieces meaning 4 stems per 1 centerpiece.

to answer multiply by 16:

1:4 x 16 = 16 centerpieces and 64 stems

Answer:

[tex]93\frac{1}{3}[/tex]

Step-by-step explanation:

The area of a bedroom floor is the width multiplied by the length. We know that the length's is [tex]10\frac{2}{3}[/tex] feet and the width is [tex]8\frac{3}{4}[/tex] feet. We just multiply the 2 fractions to find the area of her bedroom floor in feet squared

[tex]10\frac{2}{3} * 8\frac{3}{4}[/tex]

→ There area various methods but I am going to use the improper fraction method. First convert the fractions into improper fractions

[tex]\frac{32}{3} *\frac{35}{4}[/tex]

→ We can cancel out 4 and 32 with 1 and 8

[tex]\frac{8}{3} *\frac{35}{1}[/tex]

→ Multiply like normal fractions

[tex]\frac{280}{3}[/tex]

→ Convert into mixed fraction

[tex]93\frac{1}{3}[/tex]

Final answer:

The area of Kara's bedroom floor is 93 1/3 square feet, which is calculated by converting the given dimensions into improper fractions, multiplying them, and then simplifying.

Explanation:

The area of Kara's bedroom floor is calculated by multiplying the room's length by its width. The dimensions of the room are given as 8 3/4 feet by 10 2/3 feet. We first convert these mixed numbers into improper fractions: 8 3/4 becomes 35/4 and 10 2/3 becomes 32/3. To find the area, we multiply these two fractions together:

Area = (35/4) × (32/3) feet2

Now, we find the product of the two fractions:

Area = (35 × 32) / (4 × 3) square feet

Area = 1120 / 12 square feet

Area = 93 1/3 square feet

Therefore, the area of the bedroom floor is 93 1/3 square feet. When purchasing carpet, Kara would need to round up to ensure she has enough carpet to cover the entire floor, which is typically sold by the whole square foot.

Answer:

All real numbers greater than -3

Step-by-step explanation:

The domain of a log is the baseline is greater than 0.

Set x + 3 greater than zero and solve

x + 3 > 0

x > -3

The domain of the function y = log4(x + 3) is all real numbers greater than -3, as the argument of the logarithm must be positive.

The domain of the function y = log4(x + 3) is determined by the values of x for which the logarithmic expression is defined. Since the logarithm of a number is only defined for positive arguments, we need x + 3 to be greater than zero. Therefore, the domain is all real numbers greater than -3.

What this means is x must be any number such that when you add 3 to it, the result is a positive number. A simple inequality expresses this: x + 3 > 0, which simplifies to x > -3. Hence, the correct domain is all real numbers greater than -3.

Answer:

True

Step-by-step explanation:

Answer:

i think the answer is true

Step-by-step explanation:

Final answer:

The probability of pulling a red marble, then pulling a blue marble without replacement is approximately 0.114.

Explanation:

To calculate the probability of pulling a red marble, then pulling a blue marble without replacement, we need to determine the number of favorable outcomes and the total number of possible outcomes.

The number of red marbles is 5, and the number of blue marbles is 4. When the first marble is pulled, there are a total of 12 marbles. So, the probability of pulling a red marble on the first draw is 5/12.

After pulling out a red marble, the number of blue marbles becomes 3. So, the probability of pulling a blue marble on the second draw is 3/11.

To calculate the overall probability, we multiply the probabilities of each event:

P(Red and then Blue) = P(Red) × P(Blue | Red) = 5/12 × 3/11 ≈ 0.114

Final answer:

The probability of drawing a yellow marble and then a green marble without replacement is 0.1.

Explanation:

The probability of drawing a yellow marble and then a green marble without replacement is calculated as follows:

Calculate the probability of drawing a yellow marble first: 2/9 (2 yellow marbles out of a total of 9 marbles).

Now, after drawing a yellow marble, there are 8 marbles left. Calculate the probability of drawing a green marble next: 4/8 (4 green marbles out of the remaining 8).

Multiply the two probabilities: (2/9) * (4/8) = 1/9 = 0.1111 (rounded to the nearest tenth).

Answer:

18 ferrets

Step-by-step explanation:

From the statement you can write the following:

c+r+f= 108

c=cats

r= rabbits

f= ferrets

Then, you have that one third of the animals are cats:

c= 108*(1/3)= 36

Next, three fourths of the remaining animals are rabbits:

r= (108-36)*(3/4)= 72*(3/4)= 54

Now, as you have determine the amount of cats and rabbits, you can isolate f and find the amount of ferrets:

f=108-c-r

f=108-36-54

f= 18

According to this, the answer is that there are 18 ferrets.

Answer:

3

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Proteins are folded forms of polypeptide chain(S) that uses amino acids as a monomer. Amino acids are joined together during translation by an enzyme (petidyl transferase) that catalyses the formation of peptide bonds to form a polypeptide

Answer:

A.

Step-by-step explanation:

The answer is that peptide bonds connect amino acids.

Answer:

Step-by-step explanation:

Notice that the surface of 24 square centimeters is formed by 6 times 4, which gives 24 square centimeters.

The 12 square centimeres surface is formed by 3 times 4, which gives 12.

The 18 square centimeters surface is formed by 3 times 6, which gives 18.

Therefore, the three dimensiosn to form the prism are 3 cm x 4 cm x 6 cm.

Where 6 cm is the height, 3 cm and 4 cm are the width and length.

Answer:

800

Step-by-step explanation:

782

7 is in the hundreds place.  We look at the digit in the tens place. 8 >= 5 so we round the 7 up

800

Answer: c.28 yards

Step-by-step explanation:

Hi, Since the triangle is a right triangle we have to apply the Pythagorean theorem to find the lenght of Orange Dr street.

c2 = a2+b2

Where c is the hypotenuse (the longest side) and a and b are the other sides of the triangle.

Replacing with the values given

85^2 = 77^2 + b^2

7225 = 5929 +b^2

7225-5929 = b^2

1296 = b^2

√1296 = b

36 = b ( orange Dr length)

Adding the lengths of orange and Peach ave .

36+77 = 113 yards

Subtracting the length of cherry st.(85)

113 -85 = 28 yards

His trip would have been 28 yards further  

Answer:

The shape is not there so i can not solve it

Step-by-step explanation:

Answer:

Un poste de 2,9 m de altura proyecta una sombra de 1,18 m de largo.  

Al mismo tiempo, un edificio cercano proyecta una sombra de 38,25 m de largo.  

¿Cuán alto es el edificio? Redondee su respuesta al medidor más cercano.

1.18/2.9 a 38,25/b

esto le dará una pista

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

y=3x+55

Answer:

b

Step-by-step explanation:

Answer:

Its B

Step-by-step explanation:

btw ya'll shouldn't curse kids see this stuff too.

Answer:

5/2

Step-by-step explanation:

Answer:

V(s) = 332,9 m³

Step-by-step explanation:

The volume of a sphere is:

V(s) = (4/3)*π*r³

if we know  r  = 4,3 m then

V(s)  = (4/3)*3,14*(4,3)³

V(s)  = 332,8693 m³

Rounding the answer to the nearest tenth

V(s) = 332,9 m³

Answer:

The inequality is:

time to leave < 4:15 pm

Step-by-step explanation:

In order to arrive before 4:30 pm in the baseball practice the time I leave my house must be less than 4:30 pm minus 15 minutes, therefore the inequality that represents this statement is shown below:

time to leave < 4:30 - 0:15

time to leave < 4:15 pm

The time to leave the house must be less than 4:15 pm.

Angle DXC and BXC are complementary angle.

Step-by-step explanation:

∠DXC complements with ∠BXC

Complementary angle means the sum of 2 angles that have a vein or form a right angle, which is 90°.

If we add ∠DXC with ∠BXC, it will form a right angle, 90°.

Hope it helpful and useful :)

We want to find the complementary angle to DXC.

We will see that the complementary angle is CXB

Let's start by defining what complementary angles are.

Two angles a and b are complementary if:

a + b = 90°.

This means that we must find another angle such that when we add it to DXC we get a right angle.

Let's look at the diagram.

We can see that we have the line AD, and there is a segment XB, such that the angle AXB is a right angle.

Then the angle DXB is also a right angle.

Now, you can see that the angle DXB is equivalent to DXC + CXB

Then we can see that the complementary angle to DXC is CXB.

If you want to learn more, you can read:

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Answer:

Answer: The mean increases by 3

Step-by-step explanation:

The original data set is 

{50, 76, 78, 79, 79, 80, 81, 82, 82, 83}

The outlier is 50 because it is not near the group of values from 76 to 83 which is where the main cluster is.

The original mean is M = (50+76+78+79+79+80+81+82+82+83)/10 = 77

If we take out the outlier 50, the new mean is N = (76+78+79+79+80+81+82+82+83)/9 = 80

So in summary so far

old mean = M = 77

new mean = N = 80

The difference in values is N-M = 80-77 = 3

So that's why the mean increases by 3

Answer:

The mean increases by 3 would be the correct answer

Step-by-step explanation:

Answer: After 20 days

Step-by-step explanation: you have to find the greatest common multiple so that the number is a multiple for each of them

since 10 is multiple of 5 you have to find the lcm of 10 and 4 or 5 and 4 which is still 20

so just multiply them and if she swims and does cycles every 10 days then you know that if she is swimming she is cycling, but if she is cycling she might not be swimming. So if running is 4 days then just multiply 4*5 = 20

Answer:

the answer to your question will be n = 7

Step-by-step explanation:

as much as I would like to, I'm really not that great at explaining things

The value of x from the given equation is 7.

The given equation is 6(n-3)-2n=10.

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

Here, 6(n-3)-2n=10

6n-18-2n=10

4n-18=10

Transpose -18 to other side of the equation, we get

4n =10+18

4n = 28

Transpose 4 to other side of the equation, we get

x = 28/4

x = 7

Therefore, the value of x from the given equation is 7.

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