what is the area of the figure
12 in
15 in
3 in
6 in
9 in
6 in
3 in


A-225in ²
B-252in²
C-315in²
D-234in²

Answer:

Step-by-step explanation:

Q1: <B = 150 °

If two parallel lines are cut by a transversal, then alternate interior angles are congruent.

8x-10 = 3x+90

5x=100 (subtract 3 from both sides)

x=20   (divide both sides by 5)

x = 20

<B= 3x +90

<B = 3 (20) +90

<B = 60 + 90

<B = 150

Q2: 62

An angles complement (not compliment, haha) is what the number that added to the angle equals 90°.

An angle is 34 more than its complement.

Let x represent the angle.

Let y represent its complement.

x= 34 +(90-x)

y= (90-x)

x + y = 90

34 + (90-x) + (90-x) =90

x= 62

Check the answer.

x= 34 more than complement.

62-34=28

62+28=90

Checked!

Words of encouragement:

Good luck!

The solution to the literal equation is y = x - 2.

To solve inequality in y, we need a number such that the assertion holds if we replace y with that number. Isolating the variable on one side of the inequality and leaving the other terms constant is the first step in resolving the inequality.

From the given information:

4x + 1 = 9 + 4y

To solve for y, we have to switch the sides:

9 + 4y = 4x + 1

Subtract 9 from both sides

9 - 9 + 4y = 4x + 1 - 9

4y = 4x - 8

Divide both sides by 4

\(\dfrac{4y}{4}= \dfrac{4x}{4}-\dfrac{8}{4}\)

y = x - 2

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As the cardboard is square and the sides are 24 inches each, then the maximize volume of the box is 1024 cm³.

Let each side of the square cut off from each corner be x cm

Then the base of the box will be of side (24 − 2x) cm and the height of the box will be x cm

Then volume of box V=(24−2x)(24−2x)x

V=(24 − 2x) ²x

V=4x³ - 96x² + 576x           -------------------------------------(i)

Differentiating with respect to x, we get

   dV/dx =12x ² − 192x +576

⇒ dV/dx = 12( x² -16x + 48)                ---------------------------- (ii)

​For maximum volume dV/dx =0

⇒12(x² − 16x + 48)=0

⇒ x² -16x +48 =0

⇒ x² - 12x - 4x + 48 =0

⇒ x(x - 12) - 4 (x - 12)

⇒ (x - 12) (x - 4) =0

⇒ x = 12 or 4

Again differentiating, we get,

d²V/ dx² = 2x - 16                         -------------------------------- (iii)

At x = 12,

d²V/dx² = 2× 12 - 16

             = 24 - 16

             = 8

∴ V is minimum at x = 12 at x = 8

At x = 4

d²V/dx² = 2× 4 - 16

             = -8

∴ V is maximum at x=4 at x = -8

∴ Maximum volume

V = (24− 2×4)( 24 − 2×4)×4

  = (24 - 8)(24-8) ×4

  = 16 × 16 × 4

  = 1024 cm³

Therefore, the maximize volume of the box is 1024 cm³.

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Let's break out one by one number by their standup values

Turn = to × and add all

\(\\ \rm\rightarrowtail 2\times 10000+7\times 1000+3\times 100+8\times 10+5\)

Answer:

A

Step-by-step explanation:

Every digit of a number has a place value.  Place value is the value represented by a digit in a number based on its position in the number.  

In the number 27,385:

2 is in ten thousands place ⇒ 2 × 10,000 so its place value is 20,000

7 is in thousands place ⇒ 7 × 1,000 so its place value is 7,000

3 is in hundreds place ⇒ 3 × 100 so its place value is 300

8 is in tens place ⇒ 8 × 10 so its place value is 80

5 is in units place so its place value is 5

Therefore,

27,385 = 2 × 10,000 + 7 × 1,000 + 3 × 100 + 8 × 10 + 5

So the answer is A

Answer:

4 pizzas - 26 cups

13 cups - 2 pizzas

Step-by-step explanation:

4 pizzas:

39 cups : 6 pizzas

6.5 cups : 1 pizza

6.5×4 cups : 4 pizzas

4 pizzas = 26 cups

6.5 cups : 1 pizza

13/6.5 cups : x pizzas

13 cups = 2 pizzas

Answer:

1) necesita 26 tazas de harina .

2) puede hacer solo 2 pizzas .

espero te sirva :)

Step-by-step explanation:

1) 39 dividido en 6 = 6,5 , 6,5 por 4 = 26.

2) 6,5 por 2 = 13.

The difference between the amounts of interest Jacob and Christian paid for their loans is $552.

To calculate the amount of interest paid by Jacob and Christian, we can use the simple interest formula:

Interest = Principal x Rate x Time

Where,

Principal: the amount of the loan

Rate: the annual interest rate

Time: the duration of the loan in years

For Jacob's loan:

Principal = \(\$8,000\)

Rate = 4.2%

Time = 3 years

Interest = \(\$8,000 * 4.2\% * 3 = \$1,008\)

Therefore, Jacob paid $1,008 in interest.

For Christian's loan:

Principal = \(\$8,000\)

Rate = 3.9%

Time = 5 years

Interest = \(\$8,000 * 3.9\% * 5 = \$1,560\)

Therefore, Christian paid $1,560 in interest.

The difference between the amounts of interest Jacob and Christian paid for their loans is:

\(\$1,560 - \$1,008 = \$552\)

Therefore, the answer is D. \(\$552\).

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The comparison between A and B is as follows:A < B.

We are given that:120 % of A is equal to 150 => (120/100)A = 150

Divide both sides by 120/100: A = 150 × 100/120 = 125

And, 105 % of B is equal to 165 => (105/100)B = 165

Divide both sides by 105/100: B = 165 × 100/105 = 157.14

Therefore, A = 125 and B = 157.14

Compare A and B:It can be seen that B is greater than A. Therefore, B > A. Hence, the comparison between A and B is as follows:A < B.

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Answer:

i think it is 262

Step-by-step explanation:

The total money earned by Marcus in the week is $315.1875.

Given that, Marcus works at a coffee shop. He earns $10.25 each hour.

Decimals are one of the types of numbers, which has a whole number and the fractional part separated by a decimal point. The dot present between the whole number and fractions part is called the decimal point.

1) Number of hours =

6.15+7.15+6+6.45+5 =30.75

2) Money earned in the week

= 30.75×10.25

= $315.1875

Therefore, the total money earned by Marcus in the week is $315.1875.

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Answer:

10,000 divided by 5,000 12 times

Step-by-step explanation:

Answer:

R= -3

S= -3

T= -9

Step-by-step explanation:

i got this right

The required sum using the interactive number line is R = -3, S = -3, and T = -9.

Given a table of the form:

a        b       a+b

1         2        3

-1       -2        R

-4       1          S

-6       -3         T

It is required to find the value of R, S, and T.

R = -1 + (-2) = -1 - 2

That is on a number line, -1 is taken 2 units to the left.

Then the point is -3.

So, R = -3.

S = -4 + 1

Here, -4 is taken 1 unit to the right.

Then the point is -3.

So, S = -3

T = -6 + (-3) = -6 - 3

Here, -6 is taken 3 units to the left.

Then the point is -9.

So, T = -9

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Answer:

62.4

Step-by-step explanation:

Volume=L*w*h/3

V=5.2*4*9=187.2

187.2/3-62.4

Answer:

The volume of pyramid is

V = Base area x Height x 1/3

  = (5.2 x 4) x 9 x 1/3 = 62.4 (cm3)

Hope this helps!

:)

Answer:

What is equation?

Step-by-step explanation:

Answer:

A. 25,000 (1 minus 0.15) Superscript 5, or approximately $11,093

Step-by-step explanation:

A. 25,000 (1 minus 0.15) Superscript 5, or approximately $11,093

B. 25,000 minus 1500 (5), or approximately $17,500

C. 25,000 (0.15) Superscript 5, or approximately $18,984

D. 25,000 minus left-bracket (100 minus 15) (5) Right-bracket, or approximately $24,575

Value of the car = $25,000

Percentage decrease per year = 15%

Value after 5 years

Total percentage value of the car = 100%

Percentage value remaining each year = (100% - 15%)

= (1 - 0.15)

Decrease of the car in the next 5 years = $25,000(1 - 0.15)^5

= $25,000(0.85)^5

= $25,000(0.4437053125)

= $11,092.6328125

Approximately = $11.093

Value of the car in the next 5 years = $25,000 - $11,093

= $13,907

Answer:

It's A, $11,093

Step-by-step explanation:

Took the test on Edge

Answer:

Step-by-step explanation:

-2y=2-3x-5y=10-5x

-2y=10-5x

2-3x-5y-5x

(SIMPLIFY)

5x-2y=10

2x-5y=8

(MULTIPLY BOTH SIDES)

-25x-10y=-50

4x-10y=16

(ELIMINATE ONE VARIABLE BY ADDING THE EQUATIONS)

-21x=-34

(DIVIDE BOTH SIDES)

X=34/21

(SUBSTITUTE THE VALUE OF X)

2x34/21-5y=8

(SOLVE EQUATION)

Y=-20/21

(A POSSIBLE SOLUTION IS)

(X,Y)=(34/21 , -20/21)

(CHECK THE SOLUTION)

-2x(-20/21)=2-3x 34/21 - 5x (-20/21)=10-5 X 34/21

(SIMPLIFY)

40/21=40/21=40/21

(X,Y)= (34/21 , -20/21)

(SOLUTION)

When dividing 87 by 17, the quotient is 5 and the remainder is 2.

Given that we need to find 87 divided by 17.

To divide 87 by 17 and find the remainder, we can follow these steps:

1. Divide 87 by 17:

87 ÷ 17 = 5 remainder 2

2. The quotient is 5, meaning that 17 can go into 87 five times evenly.

3. The remainder is 2, which represents the amount left over after dividing 87 by 17.

Operation:

   17 | 87 | 5

    -    85

----------------------

          2

Therefore, when dividing 87 by 17, the quotient is 5 and the remainder is 2.

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Answer:

$250

Step-by-step explanation:

If they are making 100 burritos, you multiply $1.50 and 100 to get $150, and then $1.00 and 100 to get $100. Add $150 and $100 together to get $250, that is how much it cost to make the burritos. If they sold all 100 burritos, they would gain a profit of $550.

The margin of error for the confidence interval for the population proportion with a 95% confidence level is 0.000207

finding the percentage of 65 of 330 individuals

65 / 330 * 100 = 19.697% = 0.19697

number of samples, n = 330

standard deviation, σ   is calculated from

= √{(p(1 - p)) / n}

= √{(0.197 * (1 - 19.7)) / 330}

= √{(0.197 * (0.803)) / 330}

= 0.022

Margin of error, E

= Z(0.95) * σ/√(n)

= 0.171 * 0.022/√(330)

= 0.171 * √(0.022²/330)

= 0.000207

= 0.021%

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Average There are 120 ways to choose the three positions so that at least one freshman and one sophomore is chosen.

There are a total of 4 possible combinations of freshman and sophomore for the three positions, with at least one of each:

1. Freshman President, Sophomore Vice-President, Sophomore Treasurer

2. Sophomore President, Freshman Vice-President, Sophomore Treasurer

3. Freshman President, Sophomore Vice-President, Freshman Treasurer

4. Sophomore President, Freshman Vice-President, Freshman Treasurer

For each of the four combinations, there are 10 possible ways to choose the specific freshmen and sophomores for the positions (5 freshmen and 5 sophomores). That means there are 40 possible ways to choose the three positions with at least one freshman and one sophomore. Multiplying this by the 3 possible orders of the positions (President-Vice-President-Treasurer, President-Treasurer-Vice-President, Vice-President-President-Treasurer) gives us a total of 120 possible ways to choose the three positions so that at least one freshman and one sophomore is chosen.

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Answer:

288 good ways

Step-by-step explanation:

:)

Using the Sample size formula , the sample manufactuer of paints observations or sample size is 22 ton .

Sample size: It is defined as the number of participants or total observations in a study of sample.

we have provided that,

standard deviations of sample (σ)= 3 tons

mean of sample ( X) = 70 tons

confidence level = 98% = 0.98

Margin of error (M.E) = 1 ton

Using the sample size formula,

n = z²(σ)(1-σ) /( M.E)²[1+σ (1-σ)z²/(M.E)²X]

where, X---> population size

s.d --> standard deviations

M.E ---> margin of error

Z-value for confidence level

so, z-value corresponding to 98% of confidence level is 2.32 ..

putting all the values in above formula we get, n = (2.32)²(2)3/(1)²(1+ (2.32)²(6)70×1)

=> n= 32.29/(1+(0.46))= 32.29/ 0.46

= 22.1 ~ 22

Hence, sample size is 22 ton .

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Answer:

C

Step-by-step explanation:

not sure about this but i think ur original answer was right

Answer:

for wat its worth i dont know realy

Answer:

$ 53.33

Step-by-step explanation:

x = original price

.75 * x = 40

x = 40 / .75 = 53.33

Let original price be x

Hence

Answer:

m= 18g

Step-by-step explanation:

m = 18 × g

Answer:

Use a model to find the sum of two fractions with the same denominator

Add fractions with a common denominator without a model

Add fractions with a common denominator that contain a variable h

Step-by-step explanation:

h

Option d) All of the above is correct. If independent variables in a regression model exhibit multicollinearity, it can lead to biased and unreliable regression coefficients, an artificially inflated R-squared value.

Multicollinearity occurs when there is a high correlation between independent variables in a regression model. It can cause issues in the estimation and interpretation of the regression model's results.

When multicollinearity is present, the regression coefficients become unstable and may have inflated standard errors, leading to bias and unreliability in their estimates. This makes it challenging to accurately assess the individual effects of the independent variables on the dependent variable.

Multicollinearity can also artificially inflate the R-squared value, which measures the proportion of variance explained by the independent variables. The inflated R-squared value can give a false impression of the model's goodness of fit and predictive power.

Furthermore, multicollinearity violates the assumptions of the t-test for individual coefficients. The t-test assesses the statistical significance of each independent variable's coefficient. However, with multicollinearity, the standard errors of the coefficients become inflated, rendering the t-tests invalid.

Therefore, in the presence of multicollinearity, all of the given consequences (biased and unreliable coefficients, inflated R-squared, and invalid t-tests) are observed, as stated in option d) All of the above.

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hypotenuse of a right triangle is always the side opposite the right angle.

In geometry, a right triangle is a type of triangle that contains one angle measuring 90 degrees, known as the right angle. Right triangles have several distinguishing properties, and one of the fundamental concepts associated with them is the identification of the sides relative to the right angle. In this detailed explanation, we will explore the term that describes the specific side of a right triangle that is always opposite the right angle.

In a right triangle, there are three sides: the hypotenuse, the adjacent side, and the opposite side. The hypotenuse is the side opposite the right angle and is the longest side of the triangle. The adjacent side is the side that forms the right angle with the hypotenuse, while the opposite side is the side that is opposite the right angle. The term that refers to the side of a right triangle that is always opposite the right angle is the "hypotenuse."

To better understand the concept, let's consider the Pythagorean theorem, which is a fundamental relationship in right triangles. The Pythagorean theorem states that in any right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides. Mathematically, it can be expressed as:

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

In this equation, "c" represents the length of the hypotenuse, while "a" and "b" represent the lengths of the other two sides (adjacent and opposite). By rearranging the equation, we can solve for the hypotenuse (c):

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

From this equation, we can see that the hypotenuse is determined by the lengths of the other two sides of the right triangle. The relationship expressed by the Pythagorean theorem highlights the importance of the hypotenuse in determining the overall shape and size of the right triangle.

Furthermore, the hypotenuse is significant because it provides the longest side of the right triangle. Its length directly influences the triangle's shape and can be used to calculate various properties, such as the triangle's area or the lengths of the other sides.

In trigonometry, the hypotenuse is also crucial for defining trigonometric ratios, such as sine, cosine, and tangent, which are used to establish relationships between the sides and angles of a right triangle.

In conclusion, the side of a right triangle that is always opposite the right angle is called the "hypotenuse." It is the longest side of the triangle and is directly related to the lengths of the other two sides through the Pythagorean theorem. Understanding the concept of the hypotenuse is essential for working with right triangles, as it plays a fundamental role in determining the triangle's properties, shape, and trigonometric relationships.

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