Anyone know this ? Please help

If two angles are complementary, then they cannot be congruent. This statement is true. Complementary angles are two angles whose sum is 90°. They do not have to be equal in measure.

On the other hand, congruent angles are angles with equal measure.What are complementary angles?Two angles are said to be complementary when they add up to 90 degrees. This means that the sum of the measures of these angles is 90 degrees.

The measures of complementary angles need not be equal.What are congruent angles? Congruent angles are two or more angles with the same measure. In other words, they have the same angle measurement.

Hence, if two angles are congruent, it means they are exactly equal in measure. If two angles are complementary, they cannot be congruent.

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Answer:b

Step-by-step explanation:

The function f(x) = (kx – 1)³ is continuous at every number x ∈ (-0,2) ∪ (2,10) if and only if k = 1/2.

To see why, note that for the function to be continuous at every point, it must be continuous at the endpoints of the intervals (-0,2) and (2,10).

For x ∈ (-0,2), we have:

lim_{x→a⁺} f(x) = lim_{x→a⁻} f(x) = f(a)

Thus, we need to check that f(x) is continuous at x = 0 and x = 2.

At x = 0, we have:

lim_{x→0⁺} f(x) = lim_{x→0⁻} f(x) = (-1)³ = -1

So we need k = 1/2 to make f(x) continuous at x = 0.

At x = 2, we have:

lim_{x→2⁺} f(x) = lim_{x→2⁻} f(x) = (k(2) - 1)³

By the definition of continuity, we need lim_{x→2⁺} f(x) = lim_{x→2⁻} f(x), which implies:

(k(2) - 1)³ = k²(2)² - 1

Expanding and simplifying this equation gives:

k³ - 3k² + 3k - 1 = k²(4 - k²)

This equation is equivalent to:

k⁴ - 4k³ + 4k² + k - 1 = 0

By the rational root theorem, the possible rational roots of this polynomial are ±1 and ±1/2. It can be verified that k = 1/2 is a root of this polynomial, and by polynomial division, we can see that the remaining factors are all quadratic.

Thus, k = 1/2 is the only solution in the set of rational numbers, and since the function is continuous at every point in its domain if and only if it is continuous at every endpoint, we conclude that k = 1/2 is the only value of k that makes f(x) continuous at every number x.

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Answer:

I only found two point: (0,-3) (1,-2)

Step-by-step explanation:

Answer: $83.35

Step-by-step explanation:

Find 15% of 72.48 = 10.87

10.87 + 72.48 = 83.35

The distance from point B to point A as shown in the diagram is 504.1 m.

Distance is the length between two points.

To calculate the distance from point B to point A, we use the formula below

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

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Answer:

Hello there I would love to assist but could you give me a little more info I think I know the answer but I want to make sure I got it 100% correct unless you cant give me more info ill just tell you what I think it is but if u can give me more info before I give u the answer to make sure its correct would be appreciated

Step-by-step explanation:

Answer:

I'm not that good at math sorry for waiting your time:)

Answer:

D. 6 1/12

Step-by-step explanation:

First add the like fractions.

3 2/3 + 2/3 = 3 4/3 (Don't worry about simplifying yet)

Now find the least common multiple for 3 4/3 and 1 3/4 so we can add them.

3: 3, 6,  9, 12

4: 4, 8, 12

In this case 12 is the least common multiple.

3/4 x 3/3 = 9/12    9/12

4/3 x 4/4 = 16/12

Add those two fractions then add the whole numbers and put it in front.

4 25/12

Simplify

6 1/12

Answer:

d

Step-by-step explanation:

Answer:

\( \frac{1}{3} \times 30 \times 10 \times 10 \times \pi = 1000\pi\)

Answer:

-8

Step-by-step explanation:

When adding a negative number on a number line, we move to the left. This is because adding a negative number is the same as subtracting. If we start at -3 and move 5 to the left, we will end at -8.

Answer:

We have the formula for the area of a circle: S = R² x \(\pi\)

=> S = 5² x 3.14 = 78.5 f²

Step-by-step explanation:

A(11) counts partitions of 11 into parts congruent to ±1 mod 6 is A(11) = 2 and B(11) counts partitions of 11 into distinct parts congruent to ±1 mod 3 is  B(11) = 2. C(11) counts partitions of 11 into parts differing by at least 3 and multiples of 3 differing by at least 6 is C(11) = 1.

A(11) counts the number of partitions of 11 into parts congruent to ±1 mod 6. One such partition is 11, which is already congruent to ±1 mod 6. Another partition is 7+1+1+1+1, which consists of four parts that are congruent to 1 mod 6 and one part that is congruent to -1 mod 6. Therefore, A(11) = 2.

B(11) counts the number of partitions of 11 into distinct parts congruent to ±1 mod 3. One such partition is 11, which is already congruent to ±1 mod 3. Another partition is 7+3+1, which consists of three distinct parts that are congruent to 1 mod 3. Therefore, B(11) = 2.

C(11) counts the number of partitions of 11 into parts that differ by at least 3, with the added condition that any parts that are multiples of 3 must differ by at least 6. One such partition is 11, which is the only way to partition 11 into parts that differ by at least 3. Therefore, C(11) = 1.

Therefore, the partitions of 11 counted by A(11), B(11), and C(11) are:
A(11): 11, 7+1+1+1+1
B(11): 11, 7+3+1
C(11): 11

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Answer:

$40.5

Step-by-step explanation

10% comes from selling biscuit:$ 9

remaining money: $81

50% of the remaining money comes from chocolate cakes: 81*50%=$40.5

Answer:

5cm

Step-by-step explanation:

radius of cone using volume:

v = (r)^2 (h/3)

1. Plug in:

87 = (3.14) (r)^2 (4/3)

2. Divide

87 = (3.14) (r)^2 (1.33333333333)

3. Multiply

87 = 4.18666666667 (r)^2

4. Divide to get r alone:

87 / 4.18666666667 = 4.18666666667 / 4.18666666667 (r)^2

20.7802547771 = r^2

5. Square root

The principal, real, root of:

20.7802547771

√220.78025477712 = 4.55853647 = r

So the radius is 4.55853647 or 5 cm

Nearest centimeter means rounding the value to the closest whole number in centimeters. In this case, the radius of the cone is approximately 4.55853647 cm. Rounding this value to the nearest centimeter gives 5 cm.

Added pictures to help.

Answer:

50

Step-by-step explanation:

The total return on the 3 percent preferred stock for last year is $2.00.

To calculate the total return on the preferred stock, we need to consider two components: capital appreciation and dividends received.

The capital appreciation represents the increase in the stock's price over time. In this case, the stock was purchased for $97.06 and its current market price is $99.06. To calculate the capital appreciation, we subtract the initial purchase price from the current market price:

Capital Appreciation = Current Market Price - Purchase Price

= $99.06 - $97.06

= $2.00

Therefore, the capital appreciation of the stock is $2.00.

Preferred stocks typically pay fixed dividends at regular intervals. Since the question does not provide any information about dividends received, we assume that no dividends were paid during the last year. Hence, the dividend component of the total return is zero.

To calculate the total return, we sum up the capital appreciation and dividend components:

Total Return = Capital Appreciation + Dividends

= $2.00 + $0.00

= $2.00

Therefore, the total return for the last year on the 3 percent preferred stock is $2.00.

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Answer:

The horizontal cross-sections of the prisms at the same height must have the same area.

Step-by-step explanation:

A pyramid and a cone are both 12 centimeters tall and have the same volume.... What is the volume?

Volume is the quantification of the three-dimensional space a substance occupies.

We have to determine the true statement, and it is

The horizontal cross-sections of the prisms at the same height must have the same area cone and given pyramid are looks like same in two-dimensional.

The horizontal cross-sections of the prisms at the same height must have the same area thus the correct option is A.

A pyramid and a cone are both 12 centimeters tall and have the same volume, we know that Volume is the quantification of the three-dimensional space a substance occupies.

We have to determine the true statement, and it is the horizontal cross-sections of the prisms at the same height must have the same area cone and given pyramid are looks like same in two-dimensional.

If we cross-section the figures at the same height, it won't get the same shape but we should get the same area, as the area of the cross-section will be proportional to the base area, and the base area of both figures are the same.

Thus, the correct option is A.

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Answer:

look it up

Step-by-step explanation:

Answer:

Inverse of  -6x+22 is
\(\boxed{-\dfrac{x-22}{6}}\)

Graphs attached

Step-by-step explanation:

Original function y = k(x) = -6x + 22

To find the inverse of this function

Replace x with y
x = -6y + 22

Solve for x

Answer:

Step-by-step explanation:

y = 2.5  sin \(\frac{2}{3}\) x  

a = 2.5

b = \(\frac{2}{3}\)

Answer:

its 8 units long

Step-by-step explanation:

since x is the same we dont have to do much since its a straight line up and down

find the difference in the ys

-11 - -3 = -8

8 units long

hope this helps <3

Answer:

1) 40kg

2) 245kg

Step-by-step explanation:

There is a 99.73% chance that two people selected at random will not share the same birthday out of 365.

The probability of two people not sharing the same birthday out of 365 can be calculated using the formula:P(A) = n(A)/n(S)where n(A) is the number of favorable outcomes and n(S) is the total number of possible outcomes.

In this case, the favorable outcome is that two people do not share the same birthday, and the total number of possible outcomes is 365 × 365 since each person can have a birthday on any of the 365 days.

To find the number of favorable outcomes, we need to subtract the number of ways two people can have the same birthday from the total number of possible outcomes.

The number of ways two people can have the same birthday is simply 365 since there are 365 possible birthdays.

Therefore, the number of favorable outcomes is:365 × 364

The total number of possible outcomes is:

365 × 365

Thus,the probability of two people not sharing the same birthday out of 365 is:P(A) = (365 × 364)/(365 × 365)P(A) ≈ 0.9973

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Answer:

304

Step-by-step explanation:

add them all together and divide by how many weights there are.

Answer:

The mean weight of all the cats is 304 and the mean weight of the largest cats is 475

Step-by-step explanation:

Mean is another word for average

143+227+200+550+400=1,520

1,520/5=304

550+400=950

950/2=475

Answer:

1 student gets 23 pencils. 2 students get 46 pencils. 3 students get 69 pencils.  6 students get 138 pencils.

Step-by-step explanation:

The initial value that I might consider with that slope is the y-intercept. The y-intercept is the point where the line crosses the y-axis, and it is the value of y when x is 0. So, if the slope is 2, then the y-intercept might be 1. This would give us the following linear equation:

y = 2x + 1

This equation represents a line that has a slope of 2 and a y-intercept of 1.