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Which of the following formulas would you use in order to find the surface area of the solid figure below?




SA = r + r 2
SA = 4 r 2
SA =2 l + l 2
SA = 2 rh + 2 r 2

If Lina's father has a 15% off coupon, he will only have to pay 85% of the original cost. So the cost of the meal after the discount is:

Cost after discount = 85% of $20

Cost after discount = 0.85 x $20

Cost after discount = $17

Next, a 7% sales tax is applied to the cost after the discount:

Cost after tax = Cost after discount + (7% of Cost after discount)

Cost after tax = $17 + (0.07 x $17)

Cost after tax = $17 + $1.19

Cost after tax = $18.19

Therefore, Lina's father pays $18.19 for the meal after the discount and sales tax are applied.

The height of the right triangle is 24 centimeters. This is determined by solving the equation for the area of the triangle, which is given as 96 cm², and considering that the height is 3 times the length of the base. By substituting the values and solving the equation, we find that the height is indeed 24 centimeters.

To determine the height of the right triangle, we can use the formula for the area of a triangle, which is given by the formula A = (1/2) * base * height. In this case, the area is known to be \(96 cm^2\).

Let's denote the length of the base as x. According to the problem statement, the height is 3 times the length of the base, so the height can be expressed as 3x.

Substituting these values into the area formula, we get:

\(96 = (1/2) * x * 3x\)

Simplifying the equation:

\(96 = (3/2) * x^2\)

To solve for x, we can divide both sides of the equation by (3/2):

\(64 = x^2\)

Taking the square root of both sides, we find:

x = 8

Since the height is 3 times the length of the base, the height is:

3 * 8 = 24 centimeters.

Therefore, the height of the right triangle is 24 centimeters.

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The value of the central angle EJF formed by the given polygon is; 20°

To find the central angle of a polygon, we will simply divide 360 degrees by the number of sides of the polygon.

Now, the number of sides of the given polygon when completed will be 18 sides. Thus, we can say that;

Central angle = 360/18

Central angle = 20°

Now, we know that the base of isosceles triangles are equal. Since we know that the sum of angles in all triangles is 180 degrees, then we can say that;

∠E = ∠F = [180 - 20]/2

∠E = ∠F = 80°

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The given interval of "10.8" cannot be considered a correct interpretation of the 98% confidence interval for widget width as it lacks the necessary details to fully describe the interval.

To interpret a confidence interval, we need to consider two important components: the interval itself and the level of confidence. In this case, the interval is not fully provided, so it is not possible to determine whether it is correct or not. The interval should have two values that define the range of plausible values for the true population parameter (in this case, the widget width).

Furthermore, the level of confidence is also important. A 98% confidence interval means that if we were to repeat the sampling process and construct a confidence interval each time, we would expect 98% of the intervals to contain the true population parameter. Without knowing the level of confidence associated with the interval, it is impossible to determine whether the interval is a valid representation of the data.

Therefore, we cannot determine the correctness of the given interval of "10.8" without additional information.

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Answer:

Anna spent $51 in all.

Step-by-step explanation:

36+15=51

Answer:

$51

Step-by-step explanation:

Anna bought two items: a backpack and a lunch box. If we want to find the total amount of money Anna spent, we have to add the price of the backpack and the price of the lunchbox.

price of backpack+price of lunchbox

The backpack cost $36 and the lunchbox cost $15

$36+$15

Add 36 and 14

$51

Anna spent $51 in total

The absolute value of x minus one is equal to two. Therefore, x must be either one greater than two (x = 3) or one less than two (x = 1).

One less than x results in a value of two in absolute terms. As a result, x minus 1 has an absolute value of 2, which is a positive number. The separation of an integer from zero is its absolute value. As a result, x minus 1 is two units from zero in absolute terms. As x minus one has an absolute value of two, its real value must either be two or a negative two. That is to say, x must either be one more than two (x = 3) or one less than two (x = 1).In order to confirm this, let's look at a few examples. If x = 3, then |x - 1| = |2 - 1| = |1| = 1 which is not equal to two. Therefore, x = 3 is not the answer we are looking for. On the other hand, if x = 1, then |x - 1| = |1 - 1| = |0| = 0 which is not equal to two. Therefore, x = 1 is also not the answer we are looking for. The only two possible solutions for the equation |x - 1| = 2 are x = 3 and x = 1. Therefore, the result of |x - 1| = 2 is that x must be either one greater than two (x = 3) or one less than two (x = 1)

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the measure of the smallest exterior angle is 13. 846 degrees

It is important to note that the sum of the exterior angles of a polygon is expressed with the formula;

Sum of exterior angles = 360

Note that are hexagon is defined as a polygon with 6 sides and six vertices.

Now, substitute the measure of the angles

x + 2x + 6x + 8x + 9x = 360

collect the like terms, we have;

26x = 360

Divide both sides by the coefficient of x, we have;

26x/26 = 360/x

x = 13. 846 degrees

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Answer:

make 90°angle with the help of compase

3ax-36x is the correct answer.

Hope it helps!

Answer:

(-11/24)

Step-by-step explanation:

  3         5

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

  8         6

 3(3)    5(4)

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

 8(3)     6(4)

  9        20       - 11

------- - ------- = -------

  24      24        24

I hope this helps!

The congruent triangles in this problem are given as follows:

Triangles A and B.

Two figures are classified as congruent if their side lengths are the same.

If we rotate triangle B 180º over it's base, we have that it will have a similar format to triangle A, and also with the same side lengths.

Hence the congruent triangles in this problem are given as follows:

Triangles A and B.

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The ball will be 50 feet from the ground approximately 4.4 seconds after it is thrown. For the rectangular stained glass window, let's denote the width as x inches.

1. According to the given information, the length of the window is 7.3 inches longer than its width, so the length can be expressed as (x + 7.3) inches. The area of a rectangle is calculated by multiplying its length and width, so we have the equation (x + 7.3) * x = 569.9.

2. To solve this equation, we can multiply the terms: x^2 + 7.3x = 569.9. Rearranging the equation, we get x^2 + 7.3x - 569.9 = 0. By using methods such as factoring, completing the square, or quadratic formula, we can find the roots of this quadratic equation.

3. Upon solving the quadratic equation, we find that the width of the window is approximately 16.1 inches, and the length is approximately 23.4 inches.

4. Moving on to the ball thrown from a 180-foot building, the height of the ball after t seconds is given by the equation h = -16t^2 - 20t + 180. We need to determine how long it will take for the ball to be 50 feet from the ground, so we set h = 50 and solve for t.

5. Substituting h = 50 into the equation -16t^2 - 20t + 180 = 50, we get -16t^2 - 20t + 130 = 0. This is another quadratic equation. Solving it, we find two values for t, which are approximately -0.7 and 4.4 seconds.

6. However, since we are interested in the time when the ball is 50 feet from the ground after being thrown downward, we consider the positive value. Therefore, the ball will be 50 feet from the ground approximately 4.4 seconds after it is thrown.

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In his 1961 speech, Fidel Castro expressed the idea that a revolution is not an easy or smooth process, comparing it to a struggle to the death between the future and the past.

By analyzing Castro's words, we can understand the following key points:

Revolution as a Challenge: Castro suggests that a revolution is not a "bed of roses," meaning it is not a comfortable or peaceful endeavor. Instead, he emphasizes that it is a challenging and arduous path.

Struggle between Future and Past: Castro characterizes revolution as a struggle between the future and the past. This implies that the revolution represents a clash between the aspirations, progress, and desired changes of the future and the existing social, political, and economic structures of the past.

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The equivalent expression for 1.5 cubed over 1.3 raised to the fourth power all raised to the power of negative six is 1.5 to the eighteenth power over 1.3 to the twenty-fourth power.

Here are the steps to simplify the expression:

Apply the negative power rule: (1.5 cubed over 1.3 raised to the fourth power) raised to the power of negative six is equal to (1.3 raised to the fourth power over 1.5 cubed) raised to the power of six.

Apply the power of a quotient rule: (1.3 raised to the fourth power over 1.5 cubed) raised to the power of six is equal to (1.3 raised to the fourth power)⁶ / (1.5 cubed)⁶.

Apply the power of a power rule: (1.3 raised to the fourth power)⁶ is equal to 1.3(⁴*⁶) = 1.3²⁴.

Apply the power of a power rule: (1.5 cubed)⁶ is equal to 1.5(³*⁶) = 1.5¹⁸.

Therefore, the equivalent expression is 1.5¹⁸ / 1.3²⁴.

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Answer:

x=29

Step-by-step explanation:

Since this is a straight line, it has to be 180 degrees in total.

Solve x+35+4x=180.

Add the similar numbers. (5x+35=180)

Subtract 35 to 180 (145)

Solve for this by divding 145 by 5: 5x=145

145/5 = 29

So, x = 29.

(To check your answer, subsitute it in. 4x29 = 116. 29+35=64. Add both numbers together, making it equal to 180.)  

Answer: G

Step-by-step explanation:

Answer:

34.65

Step-by-step explanation:

Answer:

34.65

is the correct answer.

Answer:

Mean = 32.8

Step-by-step Explanation:

Mean is given as Mean = (Σfx)/Σf

First, find the mid-point, x, of each class, and multiply by the frequency (f) of the class to get fx:

Class ==> f ==> x ==> fx

0-10   =>  3   =>  5  => 15

10-20 =>  8  => 15 => 120

20-30 => 10 => 25 => 250

30-40 => 15 => 35 => 525

40-50 =>  7  => 45 => 315

50-60 =>  4  => 55 => 220

60-70 =>  3  => 65 => 195

Sum the fx of all classes together to get Σfx:

Σfx = 15 + 120 + 250 + 525 + 315 + 220 + 195 = 1,640

Σf = 3 + 8 + 10 + 15 + 7 + 4 + 3 = 50

(Σfx)/Σf = \( \frac{1,640}{50} \)

(Σfx)/Σf = \( 32.8 \)

Mean = 32.8

Using the given information, the height of the tree is 48 ft

From the question, we are to determine the height of the tree

In the given diagram, the height of the tree is (x + 5) feet

First, we will determine the value of x

tan 47° = x / 40

x = 40 × tan47°

x = 42.89 ft

∴ The height of the tree = (42.89 + 5) ft

Height of the tree = 47.89 ft

Height of the tree ≈ 48 ft

Hence, the height of the tree is 48 ft.

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Answer:

72/7

Step-by-step explanation:

Step-by-step explanation:

(a) The slope of the equation y = 9x + 15 is 9, and the y-intercept is 15.

(b) The rate of change or slope of the equation y = 9x + 15 is 9, which represents the constant rate at which the workers are picking oranges. For every hour of work, they pick 9 more oranges. The initial amount or y-intercept of 15 represents the number of oranges they would have picked if they had started working from the beginning of time. However, since this is not possible, it can be interpreted as the number of oranges they picked before starting to work for the period of time that is being measured.

The equation for the number of baskets is an illustration of a linear function.

The function is given as:

\(\bold{y=9x+15}\)

(a) The slope and the y-intercept

A linear function is represented as:

\(\bold{y=mx+b}\)

Where:

m represents the slope, and b represents the y-intercept

By comparison, the slope is 9, and the y-intercept is 15

(b) The rate of change and the initial amount

The rate of change is the slope, and the initial amount is the y-intercept

By comparison, the rate of change is 9, and the is 15

Regarding the exponential function y = 3(2)^x, we have that:

An exponential function is defined as follows:

y = ab^(x/n).

In which the parameters are defined as follows:

The function for this problem is given as follows:

y = 3(2)^x.

Hence the parameters are given as follows:

At x = 3, the numeric value of the function is obtained as follows:

y = 3 x 2^3

y = 3 x 8

y = 24.

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Answer:

1.6

i think

Step-by-step explanation:

Answer:

1.6

Step-by-step explanation:

1.6

1.625

2 is closer to 0 than 10

Answer:

Simplify the expression.

2n⁵−2n⁴+3n+3

Answer:

x=-12

Step-by-step explanation:

first collect all the like terms -28x + 24 = 120-20x

then move variables and constants to the correct side -28x + 20x = 120-24

collect like terms again -8x = 96

divide both side by -8 so -8x/-x n 96/-8 you get x=-12 bc -8 time -12 = 96

Answer:

x = -12

Step-by-step explanation:

First, combine like terms

\(-4x-24x+24 = 10(12-2x)\\-28x+24 = 10(12-2x)\)

Then, use the distributive property on the right side

\(-28x + 24 = 120 - 20x\)

Now, add 28x to both sides to get the Xs all together

\(24 = 120 + 8x\)

Next, subtract 120 from both sides:

\(-96 = 8x\)

divide both sides by 8:

\(-12 = x\)

This means the answer is x = -12

To find the arc length of the segment of the curve defined by the parametric equations x = 5 - 2t and y = 3t^2 for 0 ≤ t ≤ 2, we can use the arc length formula for parametric curves.

The formula states that the arc length is given by the integral of the square root of the sum of the squares of the derivatives of x and y with respect to t, integrated over the given interval.

To calculate the arc length, we start by finding the derivatives of x and y with respect to t: dx/dt = -2 and dy/dt = 6t. Next, we square these derivatives, sum them, and take the square root: √((-2)^2 + (6t)^2) = √(4 + 36t^2) = √(4(1 + 9t^2)).

Now, we integrate this expression over the given interval 0 ≤ t ≤ 2:

Arc Length = ∫(0 to 2) √(4(1 + 9t^2)) dt.

This integral can be evaluated using integration techniques to find the arc length of the segment of the curve between t = 0 and t = 2.

In conclusion, to find the arc length of the segment of the curve defined by x = 5 - 2t and y = 3t^2 for 0 ≤ t ≤ 2, we integrate √(4(1 + 9t^2)) with respect to t over the interval [0, 2].

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Answer:

( y + 2 ) - 8

hope that helps uh..☺