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Answer:

The measure of the angle is 36°

Step-by-step explanation:

Let the measure of angle be x

Supplementary angles : A pair of angles whose sum is 180° is called supplementary angles

So, Supplement of x = 180°-x°

Complementary angles  A pair of angles whose sum is 90° is called complementary angles

So, Complement of x = 90°-x°

We are given that Three times the measure of a supplement of an angle is eight times the measure of a complement of the angle

So, 3(180-x)=8(90-x)

540-3x=720-8x

8x-3x=720-540

5x=180

x=36

So,  the measure of the angle is 36°

Step-by-step explanation:

To determine whether the ice cream scoop will fit in the cone or overflow, we need to compare the volume of the scoop to the volume of the cone. If the volume of the scoop is less than or equal to the volume of the cone, the scoop will fit in the cone. If the volume of the scoop is greater than the volume of the cone, the scoop will overflow.

The formula for the volume of a sphere is:

V_sphere = (4/3)πr³

where r is the radius of the sphere. In this case, the radius of the ice cream scoop is 3 cm, so:

V_sphere = (4/3)π(3 cm)³ ≈ 113.1 cm³

The formula for the volume of a cone is:

V_cone = (1/3)πr²h

where r is the radius of the base of the cone and h is the height of the cone. In this case, the radius of the cone is also 3 cm and the height of the cone is 5 cm, so:

V_cone = (1/3)π(3 cm)²(5 cm) ≈ 47.1 cm³

Therefore, the volume of the ice cream scoop is greater than the volume of the cone, and the ice cream will overflow when it melts.

To explain this result, we can note that the volume of the ice cream scoop is determined by its shape and size, which cannot be changed. However, the volume of the cone is determined by both its shape and size, as well as the amount of space available inside it. When the ice cream melts, it will fill up the cone and displace the air inside, increasing the volume of the cone. However, the volume of the ice cream scoop will not change, so it will overflow the cone.

Answer: 1.29 x 104 lbs.

Step-by-step explanation:

4.23 x 103 lbs. and 8.7 x 103 lbs.

4.23 x 103 + 8.7 x 103 =

4.23 x 10^3 + 8.7 x 10^3 =

(4.23+8.7) x 10^3 =

(4.23+8.70) x 10^3 =

(12.93) x 10^3 =

1.293 x 10 x 10^3 =

1.293 x 10^1 x 10^3 =

1.293 x 10^(1+3) =

1.293 x 10^4 =

1.293 x 10^4 = 1.29 x 104 lbs.

The total weights of the two animals in scientific notation is

13.32 x 10² lbs

What is scientific notation ?

Scientific notation is a way of writing very large or very small numbers. A number is written in scientific notation when a number between 1 and 10 is multiplied by a power of 10.

According to the given question,

First animal weight 4.23 x 103 lbs

Second animal weigh 8.7 x 103 lbs

adding both the animal weights

= 4.23 x 103 + 8.7 x 103

= (4.23 + 8.7 ) x 103

= 12.93 x 103

= 1331.79 lbs

converting into scientific notation

= 13.3179 x 10² lbs  (rounding off)

≈ 13.32 x 10² lbs

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Answer:

Step-by-step explanation:

    \(y=-\frac{3}{4} x+2\\add\frac{3}{4} x to both sides\\y+\frac{3}{4} x=-\frac{3}{4}x+\frac{3}{4} x+2\\y+\frac{3}{4}x=2\\\frac{3}{4} x+y=2\)

Please mark me as brainliest!

Answer:

x=7   Thx pls mark as brainliest

Step-by-step explanation:

In order for a polygon to be a parallelogram, the polygon needs to be a four-sided rectangle type shape, with two sets of parallel sides.

For this square to be a parallelogram, all  

4

angles need to be  

90

º

. This will give us to the two sets of parallel sides.

Knowing this, and the fact that on of the angles is being bisected, we need only multiply the defined angle by two and set it equal to  

90

.

Answer:

it is answer d

Answer:

The answer is D. Hope this helps! Sorry if it's wrong.

Answer:

1.567 rounded to the nearest tenth place

5 is in the tenth place and 6 is after it. 6 is above 5, so 5 rounds up.

1.6 is your answer

Answer:

When p = 20, n = 600/15 = 40

When = 40, p = 600/40 + 5 = 20

Yes, because an inverse function or an anti function is defined as a function, which can reverse into another function.

Step-by-step explanation:

The measure of the angles of the cyclic quadrilateral are:

Arc PQ = 130

QR = 50°

Arc RS = 70°

∠PSQ = 65°

∠PSB = 65°

∠SBP = 80°

AQS = 30°

PS = 110°

From the figure, the arc PQ is subtended by the angle PAQ.

This means that:

PQ = ∠PAQ

Given that ∠PAQ = 130, it means that:

Arc PQ = 130

The measure of PSQ is then calculated using:

∠PSQ = 0.5 * Arc PQ ----- inscribed angle is half a subtended angle.

This gives: ∠PSQ = 0.5 * 130

∠PSQ = 65°

Hence, the measure of ∠PSQ is 65°

The measure of arc QR

A semicircle measures 180°

Thus:

QR + PQ = 180°

Thus, we get:

QR = 180° - PQ

Substitute 130° for PQ

QR = 180° - 130°

QR = 50°

Hence, the measure of QR is 50°

The measure of arc RS

The measure of arc RS is then calculated using:

∠RPS = 0.5 * Arc RS ----- inscribed angle is half a subtended angle.

Where ∠RPS = 35

So, we have:

35 = 0.5 * Arc RS

Multiply both sides by 2

Arc RS = 70°

The measure of angle AQS

In (a), we have:

∠PSQ = 65°

This means that:

∠PSQ = ∠PSB = 65°

So, we have:

∠PSB = 65°

Next, calculate SBP using:

∠SBP + ∠BPS + ∠PSB = 180° ---- sum of angles in a triangle.

So, we have:

∠SBP + 35 + 65 = 180°

∠SBP + 100 = 180

∠SBP = 80°

The measure of AQS is then calculated using:

AQS = AQB = 180 - (180 - SBP) - (180 - PAQ)

AQS = 180 - (180 - 80) - (180 - 130)

AQS = 30°

The measure of arc PS

A semicircle measures 180°

This means that:

PS + RS = 180°

This gives

PS = 180 - RS

RS = 70

Thus:

PS = 180 - 70

PS = 110°

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Answer:

0.8 or Tenths place. I hope this helped.

Answer:

B. |3x - 6| + 17 > 15

C. |5x - 4| > -8

Step-by-step explanation:

The absolute value of a number is its positive numerical value.

To determine which absolute value inequalities have all real solutions, isolate the absolute value on one side of the equation.

Option A

|5x - 7| < -2

No solutions, as an absolute value cannot be less than zero.

Option B

   |3x - 6| + 17 > 15

⇒ |3x - 6| + 17 - 17 > 15 - 17

⇒ |3x - 6| > -2

True for all values of x, as an absolute value is always positive and therefore will always be greater than -2.

Option C

|5x - 4| > -8

True for all values of x, as an absolute value is always positive and therefore will always be greater than -8.

Option D

-2|3x - 5 | > 3

Divide both sides by -2 (remembering to flip the inequality sign):

⇒ |3x - 5| < -³/₂

No solutions, as an absolute value cannot be less than zero.

Answer:

B. |3x - 6| + 17 > 15

C. |5x - 4| > -8

Step-by-step explanation:

The sample size required for the true proportion of students who have parents who have remarried is 607.

What is termed the Confidence Interval?

The confidence interval is indeed the range of values within which you expect your forecast to fall a certain proportion of the time if you repeat your experiment or re-sample a population in the same manner.

The alpha value determines the confidence level, which is the percentage of times you anticipate reproducing an approximate between both the upper and lower limits of the confidence interval.

The above problem is based on the use of determining sample size to estimate the true percentage of students given the constraints.

We may also need to consult the table to determine the Z value.

For the given question,

α = 0.5

Consider the Z-table,

Zα/2 = Z (0.1/2)

Z (0.025) = 1.96

Let 'n' be the sample size required for the true proportion of students who have parents who have remarried.

For calculating the margin error 'E' is given 3%.

n = Z² (α/2) / E² × (P°(1 - P°))

Put the given values.

n = (1.96)² / (0.03)²  × (0.28(1 - 0.28))

On solving,

n = 4268.444(0.2016)

n = 860.51

n ≈ 860.51

Thus, the sample size required for the true proportion of students who have parents who have remarried is 860.

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There are 15 different possibilities for the three whole numbers whose product is 120.

To find the different possibilities for the three whole numbers, we need to find all the ways we can multiply three whole numbers together to get 120, which is the product.

We can start by listing out the factors of 120:

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

From this list, we can start trying out combinations of three numbers that multiply to 120. For example:

1 x 1 x 120 = 120
1 x 2 x 60 = 120
1 x 3 x 40 = 120
1 x 4 x 30 = 120
1 x 5 x 24 = 120
1 x 6 x 20 = 120
1 x 8 x 15 = 120
2 x 3 x 20 = 120
2 x 4 x 15 = 120
2 x 5 x 12 = 120
2 x 6 x 10 = 120
3 x 4 x 10 = 120
3 x 5 x 8 = 120
4 x 5 x 6 = 120

So there are 15 different possibilities for the three whole numbers that multiply to 120.
To find the different possibilities for the three whole numbers whose product is 120, we need to find the combinations of factors of 120.

Step 1: Find the prime factorization of 120.
\(120 = 2*2*2*3*5 (2^3 * 3 * 5)\)

Step 2: Identify the possible factors.
Using the prime factors, we can generate the different whole number factors for 120:
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, and 120.

Step 3: Find the possible combinations of three whole numbers.
1. 1 × 1 × 120
2. 1 × 2 × 60
3. 1 × 3 × 40
4. 1 × 4 × 30
5. 1 × 5 × 24
6. 1 × 6 × 20
7. 1 × 8 × 15
8. 1 × 10 × 12
9. 2 × 2 × 30
10. 2 × 3 × 20
11. 2 × 4 × 15
12. 2 × 5 × 12
13. 2 × 6 × 10
14. 3 × 4 × 10
15. 3 × 5 × 8

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Set of factors can be rearranged in six different ways, there are actually 60 possible ways to arrange the factors into three numbers.

The possible combinations of three whole numbers that result in a product of 120.

One way to approach this is to list all the factors of 120 and then group them into sets of three.

Another method is to use prime factorization.

120 as a product of its prime factors: 2 x 2 x 2 x 3 x 5.

The possible combinations of three factors, we can use a combination formula.
The formula for the number of combinations of n items taken r at a time is:

\(nCr = n! / (r! \times (n-r)!)\)
In our case, n = 5 (the number of prime factors), and r = 3 (the number of factors we want to choose).

So, the number of possible combinations is:
\(5C3 = 5! / (3! \times 2!) = (5 \times 4 \times 3) / (3 \times 2) = 10\)
There are 10 different possibilities for the three whole numbers that multiply to 120.

These are:
\(\(2 \times 2  \times 30, 2  \times 3  \times 20, 2  \times 4 \times 15, 2  \times 5  \times 12, 2  \times 6  \times 10, 3  \times 4  \times 10, 3  \times 5  \times 8, 4  \times 5  \times 6, 3  \times 2  \times 20, and  5  \times 2  \times 12.\)\)
The order of the factors does not matter, so\(2 \times 3 \times 20\) is the same as\(3 \times 2 \times 20\).

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The correct answers are:

B, D, and E.

A parallelogram is a quadrilateral with both pairs of opposite sides parallel.

A rectangle is a parallelogram with all right angles, so yes, every rectangle is a parallelogram.

A square is a parallelogram with all right angles and all congruent sides; since it is a parallelogram with all right angles, every square is a rectangle.

A rhombus is a parallelogram with all congruent sides.

Since a square is a parallelogram with all congruent sides, then every square is a rhombus.

A trapezoid is a quadrilateral with one pair of parallel sides. Since a rhombus is a parallelogram, with 2 pairs of parallel sides, rhombus are not trapezoids.

The product of the two polynomials is (8x³)(4x⁷) = 32x¹⁰.

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AB and YX are corresponding sides, BC and XZ are corresponding sides, and AC and YZ are corresponding sides of given triangle.

What is triangle?

A triangle is a two-dimensional geometric shape that has three sides, three angles, and three vertices. It is one of the simplest polygonal shapes and is commonly studied in geometry.

Since we have:

∠A ≅ ∠Y

∠B ≅ ∠X

∠C ≅ ∠Z

We can conclude that the two triangles ABC and XYZ are similar by the Angle-Angle (AA) similarity theorem.

Therefore, the corresponding sides of the two triangles are proportional to each other. We can write this as:

AB : YX = BC : XZ = AC : YZ

where AB and YX are corresponding sides, BC and XZ are corresponding sides, and AC and YZ are corresponding sides.

In other words, the ratio of the length of each side in triangle ABC to the corresponding side in triangle XYZ is constant.

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The number of rotations is reduced to 542.501 when the diameter of wheel is increased by 20 %.

The quantity of rotations (n), no unit, done by a wheel is equal by total traveled distance (s), in inches, divided by its circumference (p), in inches:

\(n = \frac{s}{p}\)  

\(n = \frac{s}{\pi\cdot D}\)   (1)

Where D is the diameter of the wheel, in inches.

If we know that n = 651 and D = 31 in, then the travelled distance is:

s = (651) · π · (31 in)   (2)

s ≈ 63400.481 in

The travelled distance of the 31-in diameter wheel with 651 rotations is approximately 63400.481 inches.

By (2) we understand that the travelled distance is directly proportional to the diameter. Hence, if the diameter of the wheel is increased by 20 %, then we must multiply the diameter by 1.2 and divide the travelled distance by this result:

s ≈ 1.2 · π · (31 in)

s ≈ 116.867 in

\(n = \frac{63400.481\,in}{116.867\,in}\)

\(n = 542.501\)

The number of rotations is reduced to 542.501 when the diameter of wheel is increased by 20 %. \(\blacksquare\)

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The length of arc FH is approximately 9.42 units when rounded to the nearest hundredth.

To find the length of arc FH in circle G, we need to use the formula:

Arc Length = (Central Angle / 360°) \(\times\) Circumference

First, let's calculate the central angle m/FGH in degrees:

m/FGH = 60°

Next, we need to find the circumference of the circle. We know that the radius of the circle is equal to half the length of FG:

Radius = FG/2 = 18/2 = 9 units

Circumference = 2 \(\times\) π \(\times\) Radius = 2 \(\times\) π \(\times\) 9

Now, let's substitute the values into the formula to calculate the arc length:

Arc Length = (60/360) \(\\\times\) (2 \(\times\) π \(\times\) 9)

Simplifying this expression:

Arc Length = (1/6) \(\times\) (18π) = 3π units

To round the answer to the nearest hundredth, we can substitute the value of π as approximately 3.14:

Arc Length ≈ 3 \(\times\) 3.14 ≈ 9.42 units

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The mean of the given fuel prices data set is $4.61 with a standard deviation of $1.62.

To calculate the mean and standard deviation in Excel, you can use the following functions:

Mean: The AVERAGE function calculates the mean of a range of values. In this case, enter "=AVERAGE(A1:A30)" in an Excel cell, assuming the data is in cells A1 to A30.

Standard Deviation: The STDEV.S function calculates the standard deviation of a range of values. Enter "=STDEV.S(A1:A30)" in an Excel cell to calculate the standard deviation of the data set.

Using the mean ($4.61) and standard deviation ($1.62), we can now proceed to calculate the Confidence Interval.

The Confidence Interval can be determined using the formula: E = Z * (σ / √n)

In the formula, Z is the z-score corresponding to the desired level of confidence (e.g., 95% confidence corresponds to a z-score of approximately 1.96), σ is the population standard deviation (which can be estimated using the sample standard deviation in this case), and n is the sample size.

Let's assume we want a 95% confidence interval for the data set with a sample size of 30. We can use the formula "=CONFIDENCE.NORM(0.05, STDEV, 30)" in an Excel cell to calculate the E value.

Substituting the values into the formula, we get E = 1.96 * (1.62 / √30) ≈ 0.595.

Now, we can set up the confidence interval using the mean and E value:

Confidence Interval = (mean - E, mean + E)

Confidence Interval = ($4.61 - $0.595, $4.61 + $0.595)

Confidence Interval = ($4.015, $5.205)

Therefore, the 95% Confidence Interval for the given fuel prices data set is approximately $4.015 to $5.205.

In summary, the mean of the fuel prices data set is $4.61 with a standard deviation of $1.62. The 95% Confidence Interval for the data is approximately $4.015 to $5.205.

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Answer: Maybe you could use a brainly tutor?

Step-by-step explanation:

Answer:

slope is 5

Step-by-step explanation:

Answer: 5

Step-by-step explanation:

(4,3) (2,-7)

Put it in the equation of y2 - y1 over x2 - x1

-7-3 = -10 and 2 - 4 = -2 that will give you the fraction of -10/-2

Reduce the fraction and that will give you the answer of 5, slope = 5

In slope-intercept form it would be y - 3 = 5 (x - 4)

Hope this helps! ^^

When the first ball is red, there is a 0.57 percent chance that the second ball will also be red.

The chances that an occurrence will take place or a claim will be true is measured by statistical mechanics, a discipline of mathematics. The probability of an action is a numeric value and 1, where about 0 represents how likely the action is to occur and value of 1 indicates certainty. A probability is a quantifiable illustration of the odds that a specific occurrence will actually happen. Probabilities can also be expressed using percentages ranging from 0% and 100% or from 0 to 1. the ratio of the number of outcomes to the proportion all occurrences in a whole set o equally likely options that lead to a specific occurrence.

There are seven balls in total.

The sample space is

7! / 2!5!

=21 ways

P(red ball and a green ball) =12/21

=4/7

When the first ball is red, there is a 0.57 percent chance that the second ball will also be red.

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Answer:

this is 100 ft converted in kilimeters 0.03048 i hope this helps

Step-by-step explanation:

Answer:

hope its helpful........

Answer:

$850.79

Step-by-step explanation:

Assuming "$ 796-99" meant $796.99

796.99 increase 6.75% =

796.99 × (1 + 6.75%) = 796.99 × (1 + 0.0675) = 850.786825

Answer:

D

Step-by-step explanation:

Because negative is smaller than fractions. and ABC, is all off.

Answer: I think the answer is D/ the last answer

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Got it correct on deltamath

In a right triangle, the Pythagorean theorem states that the sum of the squares of the two shorter sides (legs) is equal to the square of the longest side (hypotenuse). if c^2 is not equal to a^2 + b^2, then a, b, and c cannot form a right triangle.

Given the side lengths a, b, and c, we can determine if they can form the sides of another right triangle. To do so, we need to check if the Pythagorean theorem holds true for any combination of the side lengths. We square the two shorter sides, and if their sum is equal to the square of the longest side, then those side lengths can form a right triangle.

If c^2 = a^2 + b^2, then a, b, and c can be the side lengths of a right triangle. However, if c^2 is not equal to a^2 + b^2, then a, b, and c cannot form a right triangle.

Without specific values for a, b, and c, it is not possible to definitively determine which three numbers can be used as side lengths of another right triangle. It depends on the relationship between the values of a, b, and c and whether the Pythagorean theorem is satisfied.

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