The first angle in a triangle is three times that of a second angle. The second angle is two times that of the third angle. Find the ratio of the angles in the triangle.

Answer:

10.9

Step-by-step explanation:

\(a^2+b^2=c^2\)

\(9.1^2+6^2=c^2\)

\(82.81+36=c^2\)

\(c^2=118.81\)

\(c=\sqrt{118.81} =10.9\)

Answer:

11.5 meters

Step-by-step explanation:

Since width x length = area, and area/width = length, we divide 51.75 by 4.5 and get 11.5 meters.

Hope this helps :)

Answer:

a x 4.5 = 51.75

a = 51.75 ÷ 4.5

a = 11.5

Answer 11.5m

The value of the expression x² + 10x, when x = 2 is 24.

In the expression x² + 10x, x represents a variable, which is a placeholder for a value that can change. We are given that x = 2, which means we substitute 2 for x in the expression:

x² + 10x = 2² + 10(2)

Here, 2² means 2 raised to the power of 2, which is 2 multiplied by itself: 2² = 2 x 2 = 4.

10(2) means 10 multiplied by 2, which is 20.

So we can substitute these values in the expression:

x² + 10x = 2² + 10(2)

= 4 + 20

= 24

Therefore, when x is equal to 2, the value of the expression x² + 10x is 24.

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The complete question:

Evaluate the expression x² + 10x, when x = 2.

Answer:

95816.2222

Step-by-step explanation:

you divide 2874500 by 3

The number of packages that Team B ships is 15969

We make use of the following representations

\(A \to\) Team A

\(B \to\) Team B

\(C \to\) Team C

From the first statement in the question

\(A = 6B\) ---- 6 times as many as B

From the second statement

\(A =\frac{1}{3}C\) ---1/3 as many as C

From the third

\(C = 287450\) ---- packages by team C

To calculate the number of packages by team B,

Substitute \(C = 287450\) in \(A =\frac{1}{3}C\)

\(A = \frac{1}{3} * 287450\)

\(A = \frac{287450}{3}\)

Next, we calculate the number of packages by team A by substituting \(A = \frac{287450}{3}\) in \(A = 6B\)

\(\frac{287450}{3} =6B\)

Make B the subject

\(B = \frac{287450}{3*6}\)

\(B = \frac{287450}{18}\)

\(B = 15969\) -- approximated to the nearest whole number

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Answer: \(20x^2 + 47x+24\)

Step-by-step explanation:

We just multiply the values on the edges like we are finding the area of a square, L * L = area.

4x * 5x = 20x^2

4x * 8 = 32x

3 * 8 = 24

3 * 5x = 15x

Next add the answers together

20x^2 + 47x + 24

Answer:

option 3

Step-by-step explanation:

you need to times (4x+3) by (5x+8)

so you basically need to expand the brackets and collect like terms

Answer:

Example of commutative property of multiplication

Step-by-step explanation:

The radius of the cylinder is equal to 10 feet.

In Mathematics and Geometry, the volume of a cylinder can be calculated by using the following formula:

Volume of a cylinder, V = πr²h

Where:

By substituting the given parameters into the formula for the volume of a cylinder, we have the following;

V = πr²h

1,570 = 3.14 × r² × 5

1,570 = 15.7r²

r² = 1,570/15.7

r² = 100

Radius, r = √100

Radius, r = 10 feet.

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The total value of the loan with quarterly compounded interest is approximately $45,288.38, while the total value of the loan with monthly compounded interest is approximately $45,634.84. The difference in total interest accrued is approximately $346.46.

Part A: To determine the total value of the loan with quarterly compounded interest, we can use the formula for compound interest:

A = P(1 + r/n)^(nt),

where:

A is the total value of the loan,

P is the principal amount (initial loan amount),

r is the interest rate (in decimal form),

n is the number of times interest is compounded per year,

and t is the number of years.

Given:

P = $20,000,

r = 9% or 0.09,

n = 4 (quarterly compounding),

t = 10 years.

Substituting the values into the formula, we have:

A = 20000(1 + 0.09/4)^(4*10).

Calculating this value, we find:

A ≈ $45,288.38.

Therefore, the total value of the loan with quarterly compounded interest is approximately $45,288.38.

Part B: To determine the total value of the loan with monthly compounded interest, we follow the same formula but with a different value for n:

n = 12 (monthly compounding).

Substituting the values into the formula, we have:

A = 20000(1 + 0.09/12)^(12*10).

Calculating this value, we find:

A ≈ $45,634.84.

Therefore, the total value of the loan with monthly compounded interest is approximately $45,634.84.

Part C: The difference between the total interest accrued on each loan can be calculated by subtracting the principal amount from the total value of each loan.

For the loan with quarterly compounding:

Total interest = Total value - Principal

Total interest = $45,288.38 - $20,000

Total interest ≈ $25,288.38.

For the loan with monthly compounding:

Total interest = Total value - Principal

Total interest = $45,634.84 - $20,000

Total interest ≈ $25,634.84.

The difference between the total interest accrued on each loan is approximately $346.46.

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Answer:

  D subtracting $6.23 from an account balance of $5.23

Step-by-step explanation:

Numbers to the left of 0 on the number line are negative. The values in options A–C are all positive.

Subtracting more from an account than the account has in it (option D) will result in a negative balance. That value will be plotted left of 0 on the number line.

Answer:

Reasoning:

200=1/2h(10+15)

400=h(25)

16=h

I hope this helped and good luck!

a) The probability that student will graduate from the college chosen is 75%

b) The probability she went to Expanding University is 80%

The term probability refers the possibility of happening the particular event.

Here we have given that a large high school, the favorite colleges for students to go on to are Floral College, Expanding University, Disco Tech, and Reform Institute. Of the students who go to one of these, 40% go to Floral, 25% to Expanding, 20% to Disco, and 15% to reform. According to the records of those colleges, 75% of Floral entrants graduate, 60% of Expanding entrants graduate, 80% of Disco entrants graduate, and only 40% of Reform entrants graduate.

And we need to find the following.

a) The probability that student will graduate from the college chosen

Through the given question, we have identified the values as, the only college in the given list is Floral College that has the graduation percentage as 75%.

b) The probability she went to Expanding University,

Here we have identified that the probability given for Expanding university is 80%, so, the probability for she went to that particular 80%

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Answer:

477 square foot

Step-by-step explanation:

cause yea

Earth's diameter is 0.0092 times less than the sun's diameter.

The Diameter of Earth = 1.3 * 10⁴ km

The Diameter of Moon = 3.5 * 10³ km

Let the diameter of sun be x km

According to the question

The diameter of the sun is 400 times that of the moon.

x = 400 * 3.5 * 10³ km

= 14 * 10⁵ km

The Diameter of earth / diameter of sun

=  1.3 * 10⁴ / 14 * 10⁵

= 0.0092

Hence, The diameter of the Earth is 0.0092 times that of the Sun.

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Answer:

x=4, y =5

Step-by-step explanation:

there's no factorization involved, just elimination and substitution. First subtract equation 1 and 2. The x's cancel out and you get y by itself and can solve for it. Then plug the value of y into equation 2 and solve for x and you get it. (In my picture I put value of y in equation 1 but your question asks for putting it in equation 2 so do that instead)

26: 9

Step-by-step explanation:

52:18 = 52/18

\( \frac{52}{18} = \frac{26}{9} \)

Answer:

(n-2)180

Step-by-step explanation:

Answer:

Kindly check explanation

Step-by-step explanation:

(a)

H0 : μ = 12

H1 : μ > 12

This is a right tailed test ; the alternative hypothesis has a greater than sign, difference between sample and population mean value will be positive.

(b)

H0 : μ = 10

H1 : μ > 10

This is a right tailed test ; the alternative hypothesis has a greater than sign, difference between sample and population mean value will be positive.

(c)

H0 : μ = 100

H1 : μ < 100

This is a left tailed test ; the alternative hypothesis has a less than sign, difference between sample and population mean value will be negative.

(d)

H0 : μ = 12

H1 : μ > 12

This is a right tailed test ; the alternative hypothesis has a greater than sign, difference between sample and population mean value will be positive.

Answer:

840

Step-by-step explanation:

You can divide by 5 and get 168

840/6 = 140

840/21 = 40

Answer:

The largest 3 digit number divisible by 5, 6, & 21 is 840.

Answer:

x= 9.37

y = 17.69

Step-by-step explanation:

in order to find the answer, use the trigonometries.

First finding x which is tan(32) = x/15

x = tan(32)15

and Y is cos(32) = 15/y

y = 15/cos(32)

I hope this helps

Answer:

12 cup of milk.

Step-by-step explanation:

if 3 cups of milk can make 30 cookies it means 1 cup of milk can make 10 cookies then for 100 cookies we need 10 cup of milk and 30 more means 3 more so answer is 12

Answer:

the percent that got cookies is 45

Step-by-step explanation:

I'm too lazy so here's the picture

The quadratic form ax² + bx + c for the given set of factors is 5x² - 2x - 4.

The quadratic equation that takes the form ax^2+bx+c can be determined from a given set of factors by applying the rule:

Let us expand the eqaution: 2(x-1) (2x+3)

So, we have:

2(x - 1)(2x + 3) ⇒ 4x² + 2x - 6.

= 4x² + 2x - 6 + x² - 4x + 2

Now, let us group like terms, we have:

= 4x² + x² + 2x - 4x - 6 + 2

= 5x² - 2x - 4

Therefore, we can conclude that the quadratic form ax² + bx + c for the given set of factors is 5x² - 2x - 4.

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Answer:

15 is the answerof this question

Answer:

Your answer is

1/2 <x<8

as per triangular rules

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Based on the sample response given, the statements included in the explanation on the horizontal line test are:

The horizontal line test is used to not only find out if a graph has an inverse function, but also if that inverse is also a function itself.

To pass the horizontal line test, the function has to be one-to-one which means that a horizontal line can intersect the graphed function at one point in all places. If this happens, then there is an inverse and the inverse itself is a function.

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Answer:

the answer is 16/20 feet oooooooooooo

The notation to write the rule that maps each preimage to its image will be rotation about the origin.

A point, line, or geometric figure can be transformed in one of four ways, each of which affects the structure and/or location of the object.

From before the refers to the object's initial condition, and Picture, after transformation, refers to the object's ultimate structure and location.

Rotation does not change the shape and size of the geometry. But changes the orientation of the geometry.

If the geometry is rotated, then there is no change in angles.

Preimage           Image

A(-4,4)                A'(4,4)

B(-1,2)                B' (2, 1)

C(-4,1)                C’(1,4)

From the diagram, we can conclude that the notation to write the rule that maps each preimage to its image will be rotation about the origin.

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9514 1404 393

Answer:

  -11, -9, -7, -5

Step-by-step explanation:

Let x represent the third of the odd integers. Then the first is (x -4) and the last is (x +2). We are told their sum is ...

  (x -4) +(x +2) = x -9

  2x -2 = x -9

  x = -7 . . . . . . . . . . add 2-x

The integers are -11, -9, -7, -5.

An exponential expression with base 25 and a single, simplified exponent is \((25)^{-28}\)

In Mathematics, an exponent simply refers to a mathematical operation that is typically used in conjunction with an algebraic expression in order to raise a quantity to the power of another.

Generally speaking, an exponent is represented by the following mathematical expression;

bⁿ

Where:

By applying the law of indices for powers of the same base number, we have the following:

\((25^7)^{-4}=(25)^{7 \times -4}\\(25)^{7 \times -4}=(25)^{-28}\)

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