A. Step 1B. Step 2C. Yusuf did not make a mistake

Answer:

15

Step-by-step explanation:

a^2 + b^2 = c^2

20^2 +b^2 = 25^2

400 + b^2 = 625

-400           -400

b^2 = 225

b = √225

b = 15

Answer:

See below, please!

Step-by-step explanation:

You can use the cos ratio to find the value of x. Since we know cosine is adjacent/hypotenuse, we can do cos(60)=x/40. Then, we multiply each side by 40 to find the value of x. So, x=20.

Answer:

Step-by-step explanation:

The standard deviation of the sampling distribution of sample means is given by the formula:

standard deviation = population standard deviation / sqrt(sample size)

Here, the population standard deviation is 0.8 years, and the sample size is 38. Substituting these values into the formula, we get:

standard deviation = 0.8 / sqrt(38)

standard deviation ≈ 0.13

Rounding to two decimal places, the standard deviation of the sampling distribution of sample means is approximately 0.13 years.

Answer:

40 slices

Step-by-step explanation:

I rounded 38 to 40 and divided by 8

Answer:

21

Step-by-step explanation:

Answer:

Area of Shaded Area = 18.3

Step-by-step explanation:

P.S - The exact question is -

Given - In the following diagram, a quarter circle has been constructed using an isosceles right triangle whose legs measure 8 inches.

To find - Which of the following represents the area of the shaded region, rounded to the nearest tenth of a square inch?

Proof -

We know that,

Area of a quarter circle = \(\frac{1}{4} \pi r^{2}\)

Also,

We know that ,

Area of isosceles Triangle = \(\frac{1}{2}*Base*Height\)

Now,

Given that,

Radius of quarter circle = 8 inches

Base of Isosceles Triangle = 8 inches

Height of Isosceles Triangle = 8 inches

∴ we get

Area of a quarter circle = \(\frac{1}{4} \pi (8)^{2}\) = 16\(\pi\)

Area of isosceles Triangle = \(\frac{1}{2}*8*8\) = 32

Now,

Area of Shaded area = Area of a quarter circle - Area of isosceles Triangle

                                 = 16\(\pi\) - 32

                                 = 50.265 - 32

                                 = 18.265 ≈ 18.3

⇒Area of Shaded Area = 18.3

Answer:

Multiply both sides by 4

Step-by-step explanation:

y/4 +16=19

yes u r right for the second step

y/4 +16-16=19-16

y/4=3

Now how do i get rid of 4 i do the opposite

y/4x4=3x4

y=12

Given

The base radius is 4cm, and the height is 3cm.

To find: The slant height using pythagoras theorem.

Explanation:

It is given that,

The base radius is 4cm, and the height is 3cm.

That implies,

Hence, the slant height is 5cm.I’ve completed answering the question.

To answer this question, we can proceed following the next steps:

1. Apply the distributive property:

2. We can sum(subtract) like terms in the equations:

3. If we subtract 2w to both sides of the equation, we have:

We can conclude that having this result, 24 is different from 18, we have a false result (24 = 18). Therefore, we do not have solutions to these equations.

Answer:

  b.  61°

Step-by-step explanation:

You want to know base angle RST in isosceles triangle RST where angle R is a vertical angle to a base angle in triangle QRP. Vertex angle Q has a measure of 64°.

The base angles of an isosceles triangle are the complement of half the vertex angle.

  ∠R = 90° -1/2(64°) = 58°

  ∠S = 90° -1/2(58°) = 61°

The measure of ∠RST is 61°.

Answer:

17

Step-by-step explanation:

The closest perfect cube (to 360) is 343 (7^3) .

360-343 = 17

Subtract 17.

Answer:

You should subtract 17 from 360 to make a perfect cube

Step-by-step explanation:

In the coordinate plane, the vertices of triangle PAT are P(-1,-6), A(-4,5), and T(5,-2) forms an isosceles triangle.

To prove that triangle PAT is an isosceles triangle, we need to show that at least two sides of the triangle are congruent.

Let's calculate the distances between the vertices:

Distance between P and A:

PA = √[(x₂ - x₁)² + (y₂ - y₁)²]

= √[(-4 - (-1))² + (5 - (-6))²]

= √[9 + 121]

= √130

Distance between P and T:

PT = √[(5 - (-1))² + (-2 - (-6))²]

= √[(5 + 1)² + (-2 + 6)²]

= √[36 + 16]

= √52

= 2√13

Distance between A and T:

AT = √[(5 - (-4))² + (-2 - 5)²]

= √[(5 + 4)² + (-2 - 5)²]

= √130

We can see that PA = AT = √130, and PT = 2√13.

Since PA = AT, we have shown that two sides of the triangle are congruent.

Therefore, triangle PAT is an isosceles triangle.

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Let a=\(4x^{4} -20x^{2} -3x^{2} +15\) . So the resulting polynomial after factorization is a= \((4x^{2} -3)(x^{2} -5)\).

A polynomial is an expression that only uses the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables. Variables are also known as indeterminates.

In an equation such as the quadratic equation, cubic equation, etc., a polynomial function is a function that only uses non-negative integer powers or only positive integer exponents of a variable. For instance, the polynomial 2x+5 has an exponent of 1.

Let

\(a=4x^{4}-20x^{2} -3x^{2} +15\\=4x^{4} -3x^{2} -20x^{2} +15\\=x^{2} (4x^{2} -3)-5(4x^{2} -3)\\=(4x^{2} -3)(x^{2} -5)\)

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Answer:

Step-by-step explanation:

Go to algebra calculator it will show the answer.

Answer:

(x-1) (x+8)

Step-by-step explanation:

If you factor this question out correctly, you would get the answer above.

The probability that either event will occur is P ( C ) = 0.89

Given data ,

Let the probability that either event will occur  be P ( C )

P ( A ) = 20/36

P ( B ) = 12/36

where P ( A or B ) = P ( C )

P ( C ) = P ( A ) + P ( B )

P ( C ) = 32/36

P ( C ) = 0.88888

Hence , the probability is P ( C ) = 0.89

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Answer:

x = 55

Step-by-step explanation:

First set the equations to equal eachother since theyre corresponding.

3x - 60 = x + 50

Then just solve for x.

3x - 60 = x + 50

     +60       +60

3x = x + 110

-x    -x

2x = 110

/2      /2

x = 55

Step-by-step explanation:

The body reverses direction whenever we go from Positve velocity to negative velocity or vice versa.

So here it is (2,7) exclusive then (7,10) exclusive.

A constant speed means a slope of 0. Here it is (3,6).

c. Since speed is non negative, we would reflect any part of the velocity function that is below the time.axis about the time axis

So we would get

Above is the function, don't worry bout the math part.

D. Knowing that acceleration is the derivative of velocity with respect to time, the derivative of any linear function is the slope of that linear function. So if we find the slope of different paths, we will get a constant and then we can graph it

We must use the original graph because acceleration is a vector meaning it can be negative.

We would get

the second graph is acceleration vs time

Answer:

Factoring the expression \(76d-24\) using the GCF we get \(\mathbf{4(19d-6)}\)

Step-by-step explanation:

We need to factor the expression using the GCF : \(76d-24\)

GCF stands for greatest common divisor.

We need to find the greatest number that is divisible by both terms.

The greatest number that is divisible by both terms is 4

So, Now factoring the term:

\(76d-24\\=4(19d-6)\)

So, factoring the expression \(76d-24\) using the GCF we get \(\mathbf{4(19d-6)}\)

Answer:

-5,1

Step-by-step explanation:

hope that helps

:))))))

Answer:

.21

Step-by-step explanation:

is

Answer: 0.79

Step-by-step explanation:

The series for this problem is absolutely convergent, as the limit assumes a value lower than 1.

The infinite series for this problem is defined as follows:

\(\sum_{i = 1}^{\infty} \frac{1}{n!}\)

Hence the general term is given as follows:

\(a_n = \frac{1}{n!}\)

The limit is given as follows:

\(L = \lim_{n \rightarrow \infty} \left|\frac{a_{n + 1}}{a_n}\right|\)

The (n + 1)th term is given as follows:

\(a_{n + 1} = \frac{1}{(n + 1)!}\)

The factorial can be simplified as follows:

(n + 1)! = (n + 1) x n!.

Hence the limit will be calculated of:

1/[(n + 1) x n!] x n! = 1/(n + 1).

The result of the limit is given as follows:

\(L = \lim_{n \rightarrow \infty} \frac{1}{n + 1} = 0\)

As the limit assumes a value of zero, the series is absolutely convergent.

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Answer:25

Step-by-step explanation:39+26=65,

65-40=25,

39+26=25+40

Answer:

Step-by-step explanation:

65-40=25,

39+26=25+40

Answer:

3x^2 +3x +16

Step-by-step explanation:

do you need an explanation? if so I can put it in the comments

Answer:

16 inches

Step-by-step explanation:

The formula for the area of a circle is A = πr^2, where r is the radius of the circle. To find the diameter, you need to find the radius first.

A = πr^2

200.96 = 3.14 x r^2

Divide both sides by 3.14:

64 = r^2

Take the square root of both sides:

r ≈ 8

The radius is approximately 8 inches.

To find the diameter, you multiply the radius by 2:

d = 2r

d ≈ 16

The diameter of the cookie cake is approximately 16 inches.

Therefore, the answer is 16 inches.

Answer:

14

Step-by-step explanation:

porqe suma  s eextery

The required pounds of peanut that can make one pound of peanut butter is given as 5 1/3

If  2/3 pounds of peanut = 1/8 pounds of peanut butter

? quantity of peanut = one pound of peanut butter

This would be better expressed in numbers as

2/3 = 1/8

? = 1

To solve for this , we would have to cross multiply

such that we would have

2/3 = 1/8?

to get the unknown, we have to divide through by 1/8

2/3 ÷ 1/8 = unknown

2/3 x 8/1

= 16/3

= 5 1/3

Hence the required pound that would be needed to make the peanut butter is given as 5 1/3

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No. The reported return rate appears lower than expected.

To determine whether the reported rate of return is reasonable or not, we can calculate the expected rate of return based on the investment amount and the ending value of the account.

First, we need to calculate the total number of quarters that have elapsed between the initial investment and the current quarter. Let's assume that the investment has been held for n quarters.

Then, we can use the following formula to calculate the expected rate of return:

Expected rate of return = (Ending value / Initial investment) ^ (1/n) - 1

Plugging in the given values, we get:

n = 1 (since we are only given information for a single quarter)

Initial investment = 26,245

Ending value = 26,292

Expected rate of return = (26,292 / 26,245) ^ (1/1) - 1 = 0.18%

Comparing the expected rate of return of 0.18% with the reported rate of return of -0.02%, we can see that they are quite different. However, it's important to note that a single quarter's rate of return may not be indicative of the overall performance of the investment.

Therefore, while the reported rate of return seems lower than expected, we would need to consider the performance over a longer period of time to make a more informed assessment of the investment's performance.

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