Find the volume of the irregular
figure.
1 cm
2 cm
13 cm
[?] cm
2 cm
1 cm
7 cm

Answer: 76 degrees and 14 degrees

Step-by-step explanation:

Complimentary angles add up to 90 degrees. Let x represent the complementary angle.

x+x-62=90

2x-62=90

2x-62+62=90+62

2x=152

2x/2=152/2

x=76

76-62=14

Answer:

Let u represent the lesser angle

u+u-62= 90

2u-62 = 90

2u = 90-62

2u = 28

Divide both sides by 2

u =14 degrees

Then the other angle = 90-14

=> 76 degrees

Answer:

a ground fault circuit interrupted

Answer:

By using what we know about intersecting lines, we will see that: a) ∡7 = 47° b) 47° + (2x - 5)° = 180° c) x = 69 How to get the measures of the angles for two intersecting lines? When two lines intersect, 4 angles are formed. There are two properties that these angles have. If the angles are adjacent, then their measures add up to 180° If the angles are not adjacent, these angles have the same measure. a) We know that ∡5 = 47° And 7 is not adjacent to 5, then 7 has the same measure: ∡7 = 47° b) 6 and 5 are adjacent, then we must have that: ∡5 + ∡6 = 180° 47° + (2x - 5)° = 180° That is the equation we need to solve to get the value of x. c) To solve the linear equation we need to isolate x, let's do that: 47° + (2x - 5)° = 180° (2x - 5)° = 180° - 47° = 133° 2x - 5 = 133 2x = 133 + 5 = 138 x = 138/2 = 69. If you want to learn more about linear equations, you can read: brainly.com/question/1884491

Answer:2x+1

Step-by-step explanation:

El patrimonio neto de Wanda sera simplemente la suma de todos los valores de los ahorros y bienes que ella tiene, menos las deudas que ella tiene.

Obtendremos que el patrimonio de Wanda es: $88,206,00

Para obtener esto, primero calculamos el valor de vienes y ahorros que Wanda tiene.

esto es:

$127,000 por la casa.

$25,236.00 en ahorros

$18,000.00 en artículos del hogar.

El total es:

$127,000 + $25,236.00 + $18,000.00 = $170,236

El total de deudas es:

$68,422.00 en su hipoteca

$8,477.00 de su tarjeta de crédito

$5,131.00 de una cooperativa de ahorro

La deuda total es:

$68,422.00 + $8,477.00 + $5,131.00 = $82,030

El patrimonio entonces es:

P = $170,236 - $82,030 = $88,206

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Answer:

\(\huge\boxed{\sf Slope = \frac{1}{11} }\)

Step-by-step explanation:

Given coordinates are (6,-3) and (-5,-4).

\(\sf Slope = \frac{y2-y1}{x2-x1}\\\\Slope = \frac{-4+3}{-5-6} \\\\Slope = \frac{-1}{-11} \\\\Slope = \frac{1}{11} \\\\\rule[225]{225}{2}\)

Hope this helped!

Answer:

Option B

Step-by-step explanation:

704 cubic centimeters

the first five terms of the sequence are (1, 1, 2, 3, 5). Option (d) correctly identifies this as the answer.

The problem provides a recursive sequence defined by the formula an = an-2 + an-1, where a1 = 1 and a2 = 1. We are asked to find the first five terms of this sequence.

To find the second term, we can use the formula and substitute n = 3:

a3 = a1 + a2 = 1 + 1 = 2

To find the third term, we can use the formula and substitute n = 4:

a4 = a2 + a3 = 1 + 2 = 3

To find the fourth term, we can use the formula and substitute n = 5:

a5 = a3 + a4 = 2 + 3 = 5

To find the fifth term, we can use the formula and substitute n = 6:

a6 = a4 + a5 = 3 + 5 = 8

Finally, to find the sixth term, we can use the formula and substitute n = 7:

a7 = a5 + a6 = 5 + 8 = 13

Therefore, the first five terms of the sequence are (1, 1, 2, 3, 5). Option (d) correctly identifies this as the answer.

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Answer:

(0,0)

Step-by-step explanation:

I think thats the only answer because the line goes through that point.

The many times that  the electricity used in 1950 is more than 1902 scientific notation is 7.131 x 10.

The scientific notation can be described as the notation that have the  form  a x 10^b.

Given:

The use of electricity in the US in 1902  = 6.03 x 10^9 killwatt-hours

The use of electricity in the US in 1950 = 4.3 x 10^11 kilowatt-hours.

to calculate the number of times that  the electricity used in 1950 more than 1902, then we can ,make the division of 4.3 x 10^11 kilowatt-hours.

by 6.03 x 10^9 killwatt-hours as : \(\frac{4.3 * 10^11}{6.03 * 10^9}\)

then if we simply this we can have   7.131 x 10.

Therefore, option D is correct.

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The maximum height of the golf ball on Mars is about 48.8 meters.

To find how much longer it would take for the golf ball hit on Mars to reach the ground, we can use the given equation h = -1.9t² + 26t, where h is the height of the object and t is the time in seconds. First, we need to find the time it takes for the golf ball to reach the ground on Mars. Setting h = 0, we get:

0 = -1.9t² + 26t

Solving for t using the quadratic formula, we get t = 13.684 or t = 0.856. Since the golf ball is launched upward, we need the positive value of t, so it takes about 13.7 seconds for the golf ball to reach the ground on Mars. Therefore, it takes 13.7 − 5.4 = 8.3 seconds longer for the golf ball hit on Mars to reach the ground than the golf ball hit on Earth.

To find the maximum height of the golf ball on Mars, we can use the formula h = -1.9t² + 26t, where t is the time when the height is maximum. Since the formula is a quadratic equation, the maximum height occurs at the vertex of the parabola, which is at t = -b/2a.

In this case, a = -1.9 and b = 26, so the time at maximum height is t = -26 / 2(-1.9) = 6.842. Plugging this value into the equation for h, we get:

= -1.9(6.842)² + 26(6.842) ≈ 48.8 meters

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The two rates that can be used to represent this relationship are:

A ratio is a comparison between two numbers that can be separated with (:) sign or can be represented as a fraction. This comparison deals with the same units.

However,

From the parameters given:

For every 2 cups of barbecue sauce, 4 pounds of pulled pork is used.

Therefore, we can conclude that the two rates that can be used to represent this relationship are:

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\(\textit{Law of Cosines}\\\\ c^2 = a^2+b^2-(2ab)\cos(C)\implies c = \sqrt{a^2+b^2-(2ab)\cos(C)} \\\\[-0.35em] ~\dotfill\\\\ c = \sqrt{7^2+8^2~-~2(7)(8)\cos(32^o)} \implies c = \sqrt{ 113 - 112 \cos(32^o) } \\\\\\ c \approx \sqrt{ 113 - (94.9814) } \implies c \approx \sqrt{ 18.0186 } \implies c \approx 4.2\)

Make sure your calculator is in Degree mode.

The correct answer is that the data set {3, 7, 4} is represented in the given histogram.(option-a)

The given histogram represents the number of children in each age group who need to travel to school. Since the histogram has only three bars, we can conclude that there are only three age groups.

The first bar represents children aged 5-10, of which there are 3. The second bar represents children aged 11-13, of which there are 7. The third bar represents children aged 14-18, of which there are 4.

Therefore, the data set that is represented in the histogram is:

{3, 7, 4}

None of the other data sets given match the values in the histogram. The first data set has duplicate values and is not sorted by age group. The second data set includes ages that are not represented in the histogram. The third data set has values for ages 6, 11, 12, 13, 14, 15, 17, and 18, but the histogram does not have bars for all those ages. (option-a)

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Answer:

2°
one solution
(a) The system has no solution

Step-by-step explanation:

Let the smaller angle be x. According to the given condition, the larger angle is forty-four times the smaller angle, which is 44x. Since the angles are complementary, their sum is 90°.

x + 44x = 90

45x = 90

x = 90/45

x = 2

So, the smaller angle is 2°, and the larger angle is 44 times that, which is 88°.

The given system of equations is:

20y = -24x + 40

6x + 5y = 10

To determine the nature of the system, we can compare the slopes of the two equations. If the slopes are equal and the y-intercepts are also equal, the system has infinitely many solutions. If the slopes are equal but the y-intercepts are not equal, the system has no solution. If the slopes are not equal, the system has one solution.

Let's find the slopes of the two equations:

20y = -24x + 40

Dividing by 20, we get: y = (-24/20)x + 2

6x + 5y = 10

Dividing by 5, we get: (5/5)y = (6/5)x + (10/5)

y = (6/5)x + 2

Comparing the slopes, we see that they are equal (both are 6/5), and the y-intercepts are also equal (both are 2). So, the system has infinitely many solutions. The correct answer is (b) The system has infinitely many solutions.

The given system of equations is:

19 = 4y + 12x

12x + 4y = 15

To determine the nature of the system, we can again compare the slopes of the two equations. If the slopes are equal and the y-intercepts are also equal, the system has infinitely many solutions. If the slopes are equal but the y-intercepts are not equal, the system has no solution. If the slopes are not equal, the system has one solution.

Let's find the slopes of the two equations:

19 = 4y + 12x

Dividing by 4, we get: (1/4)(4y + 12x) = 19/4

y + 3x = 19/4

12x + 4y = 15

Dividing by 4, we get: (1/4)(12x + 4y) = 15/4

3x + y = 15/4

Comparing the slopes, we see that they are equal (both are 1/3), but the y-intercepts are not equal. So, the system has no solution. The correct answer is (a) The system has no solution.

Answer:

5x²

-1/2( x+8)

Step-by-step explanation:

The dominant term is 2x^2 *x or 2x^3

We want to know what happens when x goes to negative ∞

2 ( -∞) ^3 → 2 * (-∞) → -∞

As long as we multiply by a positive number, we will still be approaching negative infinity ( or decreasing)

-3  is negative

.2x is negative when x approaches negative infinity

.5 x^2 = .5( -∞)^2 = 5 ( ∞) = ∞ which is positive

-1/2 x is the dominant term  = -1/2(- ∞) =   ∞ which is positive

4(2x) is the dominant term  = 8(- ∞) = - ∞ which is negative

Answer:

3rd and 4th Choices.

\(\displaystyle 5x^2\text{ and } -\frac{1}{2}(x+8)\)

Step-by-step explanation:

We are given the function:

\(f(x)=(2x^2+5)(x-7)\)

And we want to determine the factor(s) that we can multiply to the above function that will cause the graph of f to decrease as x approaches negative infinity.

We can see that the dominant term will be:

\(2x^2(x)=2x^3\)

Thus:

\(2(-\infty)^3\Rightarrow -\infty\)

It is already decreasing (shifting towards negative infinity) as x approaches negative infinity.

In order to preserve this, then, the factors must be positive as x approaches negative infinity.

The first factor is -3.

-3 is always negative, so it will make f increase.

The second factor is \(0.2x\).

\(0.2(-\infty)\Rightarrow -\infty\)

This will also make f increase.

The third factor is:

\(5(\infty)^2\Rightarrow \infty\)

This is positive, so it will allow f to remain decreasing as x approaches negative infinity.

The fourth factor is:

\(\displaystyle -\frac{1}{2}(-\infty+8)\Rightarrow -\frac{1}{2}(-\infty)\Rightarrow \infty\)

This is also positive, so it will also allow f to remain decreasing.

Lastly, the fifth factor is:

\(4(2(-\infty)-7)\Rightarrow 4(-\infty)\Rightarrow -\infty\)

This is negative, so it will make f increasing.

Therefore, our answers are the third and fourth choices.  

Answer:

Surface Area of the box is 190" or in.

Step-by-step explanation:

We start by determining the surface area formula for the box, which is a rectangular prism:

S = 2(l*w+w*h+l*h), where S = surface area of rectangular prism, l = length, w = width, and h = height.

Since length = 7", width = 2", and height = 9", we can substitute the information given into the formula above.

S = 2((7*2)+(2*9)+(7*9))

  = 2(14+18+63)

  = 2(95)

  = 190"

Surface Area of the box is 190" or in.

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Answer:

45 degree . my step-by-step solution is in this picture

Answer:

I think it's right answer is 530

Letter B or π is an irrational number, therefore it's the answer.

Answer: Its A x= -4/3

Step-by-step explanation:

Answer: 6 hours

Step-by-step explanation:

Answer:

C. 6 hours

Step-by-step explanation:

So we have the ratio of 15 pages to 2 hours. To find how long it will take him to read 45 pages, divide 45 by 15 to find what 15 was multiplied by.

45/15 = 3.

Because the answer is 3, multiply the 2 hours by 3 as well.

2 x 3 = 6.

Therefore, it will take Don 6 hours to read 45 pages.

Hope this helps!! Ask questions if you need!

A function that represents a reflection of \(f(x) = \frac{3}{8} (4)^x\) across the y-axis include the following: D. \(g(x) = \frac{3}{8} (4)^{-x}\).

In Mathematics and Geometry, a reflection over or across the y-axis or line x = 0 is represented and modeled by this transformation rule (x, y) → (-x, y).

This ultimately implies that, a reflection over or across the y-axis or line x = 0 would maintain the same y-coordinate while the sign of the x-coordinate changes from positive to negative or negative to positive.

By applying a reflection over the y-axis to the parent exponential function, we would have the following transformed exponential function:

(x, y)                                              →                 (-x, y).

\(f(x) = \frac{3}{8} (4)^x\)                               →              \(g(x) = \frac{3}{8} (4)^{-x}\)

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The fraction of the area of the tray occupied by the blondies is 1/9.

To find the fraction of the area of the tray occupied by blondies, we need to determine the area occupied by the blondies and compare it to the total area of the tray.

Let's calculate the area of each individual blondie:

The blondies are squares with 3-inch sides, so the area of each blondie is 3 inches × 3 inches = 9 square inches.

Now, let's calculate the area occupied by the blondies in each row:

Since there are 4 rows of blondies and each row contains 4 blondies, the total number of blondies is 4 rows × 4 blondies per row = 16 blondies.

So, the total area occupied by the blondies is 16 blondies × 9 square inches per blondie = 144 square inches.

Next, let's determine the area occupied by the brownies:

The brownies are squares with 6-inch sides, so the area of each brownie is 6 inches × 6 inches = 36 square inches.

Since there are also 4 rows of brownies and each row contains 4 brownies, the total number of brownies is 4 rows × 4 brownies per row = 16 brownies.

Therefore, the total area occupied by the brownies is 16 brownies × 36 square inches per brownie = 576 square inches.

Now, let's calculate the total area of the tray:

Given that the tray is completely full and has an area of 648 square inches, we can subtract the area occupied by the brownies from the total area to find the remaining area occupied by the blondies:

Total area of the tray - Area occupied by the brownies = Area occupied by the blondies

648 square inches - 576 square inches = 72 square inches.

So, the fraction of the area of the tray occupied by the blondies is:

Area occupied by the blondies / Total area of the tray = 72 square inches / 648 square inches.

To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 72 in this case:

72 square inches / 648 square inches = 1/9.

Therefore, the blondies' percentage of the tray's surface area is 1/9.

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Answer:  8.5

Step-by-step explanation:

I just took the quiz last week.

Answer:

1. work is the time it takes to move an object once acted upon by a force

Answer:

B. 6 1/3

Step-by-step explanation:

Step-by-step explanation:

Hey there!!

It's so simple.

While finding the coordinates of any point if the midpoint is there it will be much easier. You must remember the midpoint formulae.

Let's simply work with it.

Here, A (2,-1) and midpoint M(3,3) are given.

Let another coordinate be B(x,y).

By midpoint formulae,

\(midpoint(x.y) = \frac{x1 + x2}{2} ,\frac{y1 + y2}{2} \)

Putting their values,

\(m(3 , 3) = \frac{2 + x}{2} , \frac{ - 1 + y}{2} \)

As they are equal, equating with their corresponding elements we get,

\(3 = \frac{2 + x}{2} \)

6= 2 + x

x = 6-2

Therefore, the value of a is 4.

Again,

\(3 = \frac{ - 1 + y}{2} \)

6 = -1 + y

Therefore, the value of y is 7.

Therefore, the coordinates are B (4,7)

Hope it helps....

Answer:

The coordinates of B is (4, 7)

Step-by-step explanation:

To find the answer for B, you have to do the inverse of the midpoint formula, which is M equals (x1 multiplied by x2, over 2; y1 multiplied by y2, over 2).

If you substitute in A's coordinates for x1 and y1, you come up with (3, 3) = (2+x, over 2; and -1+y, over 2)

If the x coordinate answer for AB was 3, you can create an equation like this to solve for B's x coordinate: 2+x over 2 equals 3.

          you multiply 2 by 3 to get 6---> 2+x=6-----> x=4

If the y coordinate for AB was also three, you can create another equation to solve for B's y coordinate: -1+y over 2 equals 3.

         you multiply 2 by 3 to get 6 again---->so -1+y=6---->y=7

so the answer for B's coordinates is (4, 7).

Answer:

4 is not a prime number because it is divisible by 2.

Answer:

-2 83/100       :))))))))))))))