What is the area of a rectangular picture frame with twenty inches in length, and a width of fifteen inches?​

Answer:

120cm

Step-by-step explanation:

We need to find angle a in the figure.

We know that:

x = 9.342 inches

y = 6.692 inches

z = 2.952 inches

We can do so by finding the legs in the following triangle:

The adjacent leg is x. And the opposite leg is found by subtracting z from y, and then dividing the result by two (assuming the figure is symmetric):

Thus, we have:

Answer:

-27

Step-by-step explanation:

5(-3)^3(5)^-1

5(-27)(1/5)

-135(1/5)

-135/5

-27

Hopes this helps please mark brainliest

Answer:

Hello

Midpoints of (-6,4),(-1,-6)

P(a,b)=(x1+x2/2),(y1+y2/2)

        =(-6+-1/2),(4+-6/2)

        =(-7/2),(-2/2)

        =(-7/2),(-1)

Midpoints of the segment with endpoints (-6, 4) and (-1,-6) are (-7/2),(-1)

Hope it helps you......

The length of side X in simple radical form with a rational denominator is 25/√3.

In Mathematics and Geometry, a 30-60-90 triangle is also referred to as a special right-angled triangle and it can be defined as a type of right-angled triangle whose angles are in the ratio 1:2:3 and the side lengths are in the ratio 1:√3:2.

This ultimately implies that, the length of the hypotenuse of a 30-60-90 triangle is double (twice) the length of the shorter leg (adjacent side), and the length of the longer leg (opposite side) of a 30-60-90 triangle is √3 times the length of the shorter leg (adjacent side):

Adjacent side = 5/√3

Hypotenuse, x = 5 × 5/√3

Hypotenuse, x = 25/√3.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

Step-by-step explanation:

i think its 6

Answer:

6

Step-by-step explanation:

Answer:

AB have the length of 9

Step-by-step explanation:

5 is to short 14 is too long in between would be 9

Answer:

height = 52.5 inches

Step-by-step explanation:

Given information:

h = 3b

area: 35\(in^{2}\)

Formula for area of a triangle: 1/2bh = area

Use given info and formula to solve the problem.

1/2bh = 35

Multiply by 2 on both sides.

bh = 70

As we know h is 3b, substitute them for eachother.

b+3b=70

4b=70

b=17.5

Since h is 3 times b,

h = 52.5

Answer: This is the answer. please give me the brainliest. Thanks

Answer:

D. quadrant III

Step-by-step explanation:

Answer:

792 cm

Step-by-step explanation:

8*9*11=792

72*11=792

72+720=792

Answer:

The answer is 396 i hope it helps!

The similar triangles for this problem are given as follows:

RST and VUT.

Then the measure VT is given as follows:

VT = 5.4 units.

Similar triangles are triangles that share these two features listed as follows:

Hence the similar triangles for this problem are given as follows:

RST and VUT.

The proportional relationship for the side lengths is given as follows:

6/14 = (x + 2)/(4x - 1).

Applying cross multiplication, the value of x is obtained as follows:

14(x + 2) = 6(4x - 1)

14x + 28 = 24x - 6

10x = 3.4

x = 3.4.

Then the length VT is given as follows:

VT = 3.4 + 2

VT = 5.4 units.

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Answer:

y=2/3

Step-by-step explanation:

2y+4y=6-3y

⇔ 2y+4y+3y=6

⇔ 9y=6

⇔ y=6/9=2/3

The answer is:

y = 2/3

Work/explanation:

For now, I focus on the left side and combine the like terms:

\(\bf{2y+4y=6-3y}\)

\(\bf{6y=6-3y}\)

Add 3y to each side

\(\bf{6y+3y=6}\)

Combine like terms

\(\bf{9y=6}\)

Divide each side by 9

\(\bf{y=\dfrac{6}{9}}\)

\(\bf{y=\dfrac{2}{3}}\)

Hence, the answer is 2/3.

Using probability we know that the expected value of the insurance company is $141.

So, the expected value of the insurance company:

Now, get the expected value as follows:

Rounding off: $141

Therefore, using probability we know that the expected value of the insurance company is $141.

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The complete question is given below:

There is a .9987 probability that a randomly selected 27-year-old male lives through a year. a life insurance company charges $154 for ensuring that the male will live through the year. if the male does not survive the year, the policy pays out $100,000 as a death benefit.

What is the expected value for the insurance company?

y=-2x+5 is the slope-intercept equation for a line that goes through the point (4,-3) and 5 is the value of b.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

We have to find the slope-intercept equation for a line that goes through the point (4,-3)--with a slope of -2

m=-2

Now let us find the y intercept

-3=-2(4)+b

-3=-8+b

-3+8=b

5=b

Hence, y=-2x+5 is the slope-intercept equation for a line that goes through the point (4,-3) and 5 is the value of b.

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The solution is::

a. 120 ways can they​ arrive.

b. 6 can Eduardo arrive first and Tyrone ​last

c. 0.05 is the probability that Eduardo will arrive first and Tyrone last.

Here, we have,

a) The ways Eduardo, Sarah, Maria, Jim, and Tyrone can arrive to the party is

5! = 5×4×3×2×1 = 120

The logic behind it is

5 different people can arrive first, after that

4 different people can arrive second, when first and second arrived is known,

3 different people can arrive third, then

2 different people can arrive fourth

only 1 person left to be fifth.

b) Using the same logic, when first and last arrived is known, there is

3!=3×2×1=6 ways they can arrive in this case.

c)  The probability that Eduardo will arrive first and Tyrone last is

the division of the ways Eduardo arrive first and Tyrone ​last by the ways 5 people can arrive = 6/120 = 0.05

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complete question:

Eduardo, Sarah, Maria, Jim, and Tyrone have all been invited to a dinner party. They arrive randomly and each person arrives at a different time.

a. In how many ways can they​ arrive?

b. In how many ways can Eduardo arrive first and Tyrone ​last?

c. Find the probability that Eduardo will arrive first and Tyrone last.

We are told that 6 is two-fifths of the brownies. So we can figure it out as such:

\(\frac{6}{x} = \frac{2}{5}\)

Cross multiply

6 * 5 = x * 2

30 = 2x

Divide both sides of the equal sign by 2 to get x by itself

\(\frac{30}{2} =\frac{2x}{2}\)

15 = x

15/5 = 3. Every third piece is 1/5 of the pan.

Answer:

Step-by-step explanation:

The volume of the solid of revolution formed by revolving the region bounded by f(x) = -3x² + 8 and g(x) = 3x² + 2 about the x-axis is 16π cubic units.

To find the volume of the solid of revolution formed by revolving the region bounded by the curves f(x) = -3x² + 8 and g(x) = 3x² + 2 about the x-axis, we can use the method of cylindrical shells and integrate.

First, let's find the points of intersection between the two curves by setting them equal to each other:

-3x² + 8 = 3x² + 2

Rearranging the equation, we get:

6x² = 6

x² = 1

x = ±1

So, the curves intersect at x = -1 and x = 1.

To calculate the volume, we'll integrate along the x-axis from x = -1 to x = 1. The volume of each cylindrical shell can be determined by multiplying the circumference (2πy) by the height (dx), where y represents the distance from the axis of revolution to the curve at a given x-value.

The radius of the cylindrical shell, y, can be obtained by subtracting the lower curve (f(x)) from the upper curve (g(x)). Therefore, y = (3x² + 2) - (-3x² + 8) = 6x² - 6.

The integral to compute the volume of the solid can be expressed as:

V = ∫[from -1 to 1] 2π(6x² - 6) dx

V = 2π ∫[from -1 to 1] (6x² - 6) dx

Simplifying and evaluating the integral, we get:

V = 2π [2x³ - 6x] [from -1 to 1]

V = 2π [(2(1)³ - 6(1)) - (2(-1)³ - 6(-1))]

V = 2π [2 - 6 - (-2 + 6)]

V = 2π [8]

V = 16π

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Based on the capacity of the container and the capacity currently being used, the amount of water in the container is 3/8 gallons.

The container is capable of holding 1/2 gallons of water.

If it is holding 3/4 of that 1/2 gallons, the amount of water it would be holding is:

= Capacity of container x Percentage full

= 1/2 x 3/4

= 3/8 gallons of water

In conclusion, the container is currently holding 3/8 gallons of water.

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The total area of the three triangles is square units is 36 and the area of the figure is square units is 60.

The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.

From the figure, the area of triangles can be calculated using the:

Area = (1/2)height×base length

Area of three triangle = 1/2(4×6) + 1/2(6×4) + 1/2(4×6)

Area of three triangle = 1/2(24×3) = 36 square units

Area of the figure = area of three triangle + area of the rectangle

= 36 + 6×4

= 60 square units

Thus, the total area of the three triangles is square units is 36 and the area of the figure is square units is 60.

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The measure of angle D is 45°

Similar triangles have the same corresponding angle measures and proportional side lengths. When two triangles are similar, the corresponding angles are equal.

And also the ratio of corresponding sides of similar triangles are equal.

To know the corresponding angles

side AC is corresponding to side EF, therefore angle D is congruent to angle A

angle D = 45°

OR , we can use the sum of angles In a triangle , which is 180°

angle D = 180 -( 72+63)

= 180 - 135

= 45°

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Answer:

26880 ways

Step-by-step explanation:

Given

\(Crust = 4\)

\(Toppings = 10\)

\(Cheese = 8\)

Required

Determine the number of ways 3 toppings and 3 cheese can be selected

The number of crusts to be selected was not stated. So, I'll assume 1 crust to be selected from 4.

This can be done in \(^4C_1\) ways

For the toppings:

3 can be selected from 10 in \(^{10}C_3\) ways

For the cheeses:

3 can be selected from 8 in \(^{8}C_3\) ways

Total number of selection is:

\(Total = ^4C_1 * ^{10}C_3 * ^{8}C_3\)

Apply combination formula:

\(Total = \frac{4!}{(4-1)!1!} * \frac{10!}{(10-3)!3!} * \frac{8!}{(8-3)!3!}\)

\(Total = \frac{4!}{3!1!} * \frac{10!}{7!3!} * \frac{8!}{5!3!}\)

\(Total = \frac{4*3!}{3!*1} * \frac{10*9*8*7!}{7!*3*2*1} * \frac{8*7*6*5!}{5!*3*2*1}\)

\(Total = \frac{4}{1} * \frac{10*9*8}{3*2*1} * \frac{8*7*6}{3*2*1}\)

\(Total = 4 * \frac{720}{6} * \frac{336}{6}\)

\(Total = 4 * 120* 56\)

\(Total = 26880\)

Hence, there are 26880 ways

Answer:

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

Formula for area of a rectangle with dimensions l and w is:

Substitute 10 for l and 4 for w:

Step-by-step explanation:

21x²-2x +1/2 = 0

x² - 2x ×21 + 1/2× 21 = 0

Hello!

x = the intersection

5x + 3 = 2x + 15

5x - 2x = 15 - 3

3x = 12

x = 12/3

x = 4

Answer: X=4

Step-by-step explanation: 5x + 3 and 2x + 15 are congruent. sub tract 3 from each side, 5x and 2x + 12 are equal. Subtract 2x from each side, 3x and 12 are equal. Divide each side by 3 and get X=4

Answer:

okay i'll keep this in mind

Step-by-step explanation:

1) Number of participants whose headache remained is: 62

2) The probability of randomly selecting an individual whose headache remained is: 0.4133

3) The probability of randomly selecting an individual whose headache remained and took a placebo is: 0.2933

From the table, we have the parameters as:

Number of participants that took medicine and headache went away = 120

Number of participants that took placebo and headache went away = 68

Number of participants that took and headache remained = 18

Number of participants that took placebo and headache remained = 44

1) Number of participants whose headache remained = 18 + 44 = 62

2) The probability of randomly selecting an individual whose headache remained is:

62/(62 + 120 + 68)

= 62/150

= 0.4133

3) The probability of randomly selecting an individual whose headache remained and took a placebo is:

44/150 = 0.2933

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Answer:

The null hypothesis: there is no difference between the mean IQ level of people who were reared by their biological parents and those who were reared by someone else.

Step-by-step explanation:The null hypothesis can be a general statement mostly in statistics that proposes no difference or no relationship between 2 phenomena etc

Researchers always carry out a study to test against the null hypothesis ie the opposite of the null hypothesis showing that there is a difference. In this study, the researchers aim is to establish that there is a difference between the mean IQ level of people who were reared by their biological parents and those who were reared by someone else. This goes against the null which states that

there is no difference between the mean IQ level of people who were reared by their biological parents and those who were reared by someone else.