Yolanda is making a banner for a school pep rally. She cuts fabric in the shape of a parallelogram. The angle at the bottom-left corner measures 80°.

A parallelogram is shown. The top left angle is x degrees and the bottom left angle is 80 degrees.



What is the value of x?

40
50
100
160

Answer: 1:4

Step-by-step explanation: It is 7:28, but simplified is 1:4.

Answer:

11

Step-by-step explanation:

a^2 + 3b / c - 2d

put the numbers in the equation

3^2  + 3 x 8 / 2 - 2 x 5

pedmas

3^2 would be first, then 3 x 8, then that answer divided by 2, then 2 x5

9 + 12 - 10

left to right

9 + 12 = 21

21 - 10 = 11

Answer:

the correct answer is 11

+ (3x8)/2 - (2x5)

9+ - 10

9+12-10=11

Step-by-step explanation:

The greatest quotient is 292 and the least quotient will be equal to 45.8.

The four basic mathematical operations are the addition, subtraction, multiplication, and division of two or even more integers. Among them is the examination of integers, particularly the order of actions, which is crucial for all other mathematical topics, including algebra, data organization, and geometry.

As per the given information in the question,

The greatest quotient will be,

3 ) 876 (

= 292 and,

The smallest quotient will be,

8) 367 (

= 45.8

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Answer:

Find the answer below.

Step-by-step explanation:

1. A = {mountain, valley, plateau, plains and hills}

2. B = {23, 29, 31, 37 and 41}

3. C = {2, 4, 8, 10 and 12}

4. D = {2/3, 1/2, 3/4, and 1/5}

5. E = {ant, angel, angle, anaconda, and ark}

The surface area of the triangular prism would be =324,000cm²

To calculate the surface area of the triangular prism the formula that should be given would be as follows:

Surface area of triangular prism;

Surface area of triangular prism;= bh+(b1+b2+b3)l

where:

base length = 20cm

height = 15cm

length = 18cm

SA = 20×15(20+15+25)×18

= 300×60×18

= 324,000cm²

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Answer:

SYSTEM 1

\(4x + 3y = 4 - - - eqn(i) \\ - 2x - 3y = - 8 - - - eqn(ii) \\ eqn(i) + eqn(ii) \\ = > 4x - 2x = 4 - 8 \\ 2x = - 4 \\ x = \frac{ - 4}{2} \\ x = - 2 \\ in \: eqn(i) \: \: 4x + 3y = 4 \\ but \: x = - 2 \\ = > 4( - 2) + 3y = 4 \\ = > - 8 + 3y = 4 \\ 3y = 12 \\ y = \frac{12}{3} \\ y = 4\)

SYSTEM 2

\(3x + 2y = 7 - - - eqn(i) \\ 2x - y = 7 - - - eqn(ii) \\ multiply \: eqn(ii) \: by \: 2 \\ = > 4x - 2y = 14 - - - eqn(iii) \\ eqn(i) + eqn(iii) \\ = > 7x = 21 \\ x = \frac{21}{7} \\ x = 3 \\ in \: eqn(ii) \: 2x - y = 7 \\ but \: x = 3 \\ hence \: \: 2(3) - y = 7 \\ y = 6 - 7 \\ y = - 1\)

The equations which define y as a function of x are; −12x−85y=0 and 3x−4y=−2.

Any number that one can think of, except complex numbers, is a real number. Real numbers therefore include rational numbers like positive and negative integers, fractions, and irrational numbers.

On this note, the equations as displayed in the answers provided above define y as a function of x.

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The mathematics SAT score representing the top 1% of all scores is approximately 780.

a. The random variable in this case is the mathematics SAT score.

b. To find the probability that a person has a mathematics SAT score over 700, we need to calculate the z-score first.

The z-score is calculated as \(\frac{(X - \mu )}{\sigma}\),

where X is the value we're interested in, μ is the mean, and σ is the standard deviation.

In this case, X = 700, μ = 514, σ = 117.

Using the formula, the z-score is \(\frac{(700 - 514)}{117 } = 1.59\).

To find the probability associated with this z-score, we can consult a standard normal distribution table or use a calculator.

The probability is approximately 0.0564 or 5.64%.

c. To find the probability that a person has a mathematics SAT score of less than 400, we again calculate the z-score using the same formula.

X = 400, μ = 514, and σ = 117.

The z-score is \(\frac{(400 - 514) }{117 } = -0.9744\).

Looking up the probability associated with this z-score, we find approximately 0.1635 or 16.35%.

d. To find the probability that a person has a mathematics SAT score between 500 and 650, we need to calculate the z-scores for both values.

Using the formula, the z-score for 500 is \(\frac{(500 - 514)}{117 } = -0.1197\),

and the z-score for 650 is \(\frac{(650 - 514)}{117 } = 1.1624\).

We can then find the area under the normal curve between these two z-scores using a standard normal distribution table or calculator.

Let's assume the probability is approximately 0.3967 or 39.67%.

e. To find the mathematics SAT score that represents the top 1% of all scores, we need to find the z-score corresponding to the top 1% of the standard normal distribution.

This z-score is approximately 2.33.

We can then use the z-score formula to calculate the corresponding SAT score.

Rearranging the formula,

\(X = (z \times \sigma ) + \mu\),

where X is the SAT score, z is the z-score, μ is the mean, and σ is the standard deviation.

Substituting the values,

\(X = (2.33 \times 117) + 514 = 779.61\).

Rounded to the nearest whole number, the mathematics SAT score representing the top 1% of all scores is approximately 780.

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The percentage error in the density of metal will be 3.4%.

The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

Given that the density of the metal in the handbook is 4.018 g/mL and the measured value of the density is 4.16 g/mL.

The percentage error will be calculated as:-

Percentage = [ ( 4.16 - 4.018 ) / 4.16 ] x 100

Percentage = 0.034x 100

Percentage = 3.4%

Hence, the percentage error will be 3.4% for the densities.

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If she read 52 pages in one hour, then she'll continue at a rate of 52 pages per hour.

Answer:

52 pages

Step-by-step explanation:

Since she reads 52 pages in 1 hour we multiply 52 by the amount of hours she reads.

52 pages times 1 hour equals 52 pages.

52 x 1 = 52

Answer:

The student forgot about the double angle identity.

Step-by-step explanation:

sin2x/cosx=2

This is the double angle identity

sin2x=2sin(x)cos(x)

(2sinxcosx)/cosx=2

2sinx=2

sinx=1

x=sin^-1(1)

x=90 degrees OR pi/4

This was my answer for the test and got full points :)

Answer:

8

Step-by-step explanation:

18(4/3)=24

6(4/3)=h

h=8

Answer:

h = 8

Step-by-step explanation:

These shapes are similar, so you can set up a proportion to solve for h:

\(\frac{24}{18}= \frac{h}{6}\)

Cross multiply:

\(\frac{144}{18h}\)

Divide 144 by 18:

h = 8

It took Ringani 2.8 years  to accumulate the total amount of R30,000.00 by depositing R8,500.00 yearly into the account with a 7.04% interest rate Compounded annually.The correct answer choice is C. 2.8 years.

To determine how long it took Ringani to accumulate the total amount of R30,000.00 by depositing R8,500.00 yearly into an account with a 7.04% interest rate compounded annually, we can use the formula for compound interest:

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

Where:

A is the final amount

P is the principal amount (initial deposit)

r is the interest rate (in decimal form)

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

t is the time in years

In this case, we have:

P = R8,500.00

A = R30,000.00

r = 7.04% = 0.0704 (in decimal form)

n = 1 (compounded annually)

We want to find the value of t.

Using the formula, we can rearrange it to solve for t:

t = (log(A/P)) / (n * log(1 + r/n))

Substituting the given values, we have:

t = (log(30,000/8,500)) / (1 * log(1 + 0.0704/1))

Calculating this using a calculator, we find that t is approximately 2.8 years.

Therefore, it took Ringani approximately 2.8 years (rounded to one decimal place) to accumulate the total amount of R30,000.00 by depositing R8,500.00 yearly into the account with a 7.04% interest rate compounded annually.

The correct answer choice is C. 2.8 years.

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Answer:

3^\(\frac{2}{5}\)

Step-by-step explanation:

The expression becomes: p^(1/2) = p^(1/2 * 1) = p^(1/2) Now we can simplify p^(1/2) as p^1/2 which equals the square root of p.

The property of exponents that must be applied to the expression p^(1/2) to derive p as the result is the Power of a Power Property.

The Power of a Power Property states that when a power is raised to another power, the exponents are multiplied.

For instance, consider the expression p^(1/2). We can apply the Power of a Power Property to this expression as follows: p^(1/2) = (p^(1/2))^1 By applying the Power of a Power Property, the exponent (1/2) is multiplied by the exponent 1, giving a result of 1/2.

Therefore, the expression becomes: p^(1/2) = p^(1/2 * 1) = p^(1/2)Now we can simplify p^(1/2) as p^1/2 which equals the square root of p.

So we have derived p as the result using the Power of a Power Property.

In summary, we must apply the Power of a Power Property to the expression p^(1/2) to derive p as the result.

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The volume of the prism is 48.75cm³

Volume is defined as the space occupied within the boundaries of an object in three-dimensional space.

A prism is a solid shape that is bound on all its sides by plane faces.

The volume of the prism is expressed as;

V = base area × height

base area = 1/2 bh

area = 1/2 × 6 × 5/2

= 30/4

= 7.5 cm²

Height of the prism = 13/2 = 6.5 cm

Therefore the volume

= 7.5 × 6.5

= 48.75 cm³

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Answers:

Here you go, hope this helps

Step-by-step explanation:

6+2x

Answer:

x = 4

m<AXC = 150

Step-by-step explanation:

m<1 + m<2 = m<AXC

102 + 10x + 8 = 6(6x + 1)

10x + 110 = 36x + 6

26x = 104

x = 4

m<AXC = 6(6x + 1)

m<AXC = 6(24 + 1)

m<AXC = 150

Answer:

6

Step-by-step explanation:

hope it helps

Step-by-step explanation:

The slope of the tangent line of a function f(x) is the derivative, f'(x).

Here, we can use exponent rule to find the derivatives:

If y = xⁿ, then y' = nxⁿ⁻¹.

7. g(x) = x²

g'(x) = 2x

g'(2) = 4

8. g(x) = x² − 4x

g'(x) = 2x − 4

g'(1) = -2

9. g(x) = 5/(x + 3)

g(x) = 5 (x + 3)⁻¹

g'(x) = -5 (x + 3)⁻²

g'(-2) = -5

Answer:

what is the question. the equation is invalid.

The range of whole numbers between which the decimal falls is 0 yards to 1 yard.

The whole number is set to positive integers including 0. i.e 0, 1, 2, 3, and so on.

To find the total amount of fabric Mary Beth needs to make a pillow, we first need to convert 7/12 yards into a decimal. To do this, we can divide the numerator by the denominator:

7/12 = 7 / 12 = 0.5833...

So, Mary Beth needs approximately 0.5833 yards of fabric to make a pillow.

To determine the range of whole numbers between which the decimal falls, we can round up to the next whole number (1 yard) and round down to the previous whole number (0 yards). Therefore, the range of whole numbers between which the decimal falls is 0 yards to 1 yard.

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what is the question?

Answer:

$5,376

$47,376

Step-by-step explanation:

Given :

Price of current model = $42,000

Percentage increase in price = 12.8%

Price increase in dollars :

12.8% of $42000

0.128 * $42000

= $5,376

Price of the next model :

Price of current model + increase in price

$42000 + $5376

= $47,376

Answer:

he is 36 months old or 3 years old, and he ways 82 kilograms.

Step-by-step explanation:

quick mafs

The point shown in the graph tell about the panda which lives in the Washington, DC zoo that the age of panda is 36 months and the weight of panda is 82 kilograms.

In a graph, the line which is horizontal is known as the x-axis of the graph. The vertical line in the graph is called the y-axis of it. These axis helps to read the data from graph in following way-

In the given graph, the x-axis is labeled with age in months and y-axis is labeled with weight of panda.

The point with coordinates (36,82) tells that the age of panda is 36 months and the weight of the panda is 82 kilograms.

Hence, the point shown in the graph tell about the panda which lives in the Washington, DC zoo that the age of panda is 36 months and the weight of panda is 82 kilograms.

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The algebraic expression for the area is:

A = (2H - 8)*H/2

Here we want to write the expression:

"the area of a triangle that has a base 8 inches less than 2 times wider than the height."

Remember that for a triangle of base B and height H, the area is:

A = B*H/2

So if the base is 8 inches less than 2 times the height, we can write:

B = 2*H - 8

Replacing that in the area equation we get:

A = (2H - 8)*H/2

That is the equation for the area.

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Answer:

220

Step-by-step explanation:

It is recommended that you visit your courses on D2L frequently, ideally at least once a day, to stay up-to-date with any new announcements or assignments posted by your instructor. This will help you stay on track with your coursework and prevent you from falling behind. Additionally, regular visits to your courses can help you participate in discussions with your peers and ask questions if you are unsure about any of the material. It's important to remember that online learning requires a high level of self-discipline and responsibility, so making a habit of checking in on your courses regularly can contribute to your overall success in the class.