The square based pyramid is cut horizontally at a height of 15cm to leave this frustum. Calulate the volume of the frustum.

Answer:

Parallelogram

Step-by-step explanation:

When I graphed these points on a coordinate plane and connect the points, I see a parallelogram.

PLZ MARK BRAINLIEST!!!

Answer:

q = 7

Step-by-step explanation:

4q + 9 = 37

If a letter and a number are together it means multiply.

Substitute 7 into the equation:

4(7) + 9 = 37

28 + 9 = 37

So q must equal 7

Answer:

interpretation: -- 1/9 1/3 2/9 2/3

Input:

-(-1)/9×1/3×2/(9 + 2/3)

Exact result:

2/261

Answer:

The answer is explained below

Step-by-step explanation:

The question is not complete, I would explain how to calculate the value of Z

The z score is a measure in statistic used to determine the number of standard deviations by which the raw score if from the mean of a normal distribution. If the z score is positive then the raw score is above the mean while if a z score is negative the raw score is below the mean. The z score (z) is given by the formula:

[tex]z=\frac{x-\mu}{\sigma}[/tex]

Where x is the raw score, μ is the mean and σ is the standard deviation.

Let us assume that the mean (μ) = 20 and the standard deviation (σ) = 3. To calculate the z score for x = 30 it is given by:

[tex]z=\frac{x-\mu}{\sigma}=\frac{30-20}{3}=3.33[/tex]

Answer:

D

Step-by-step explanation:

I would say D because when a car is going from a slower road to a faster, more busy one (the highway) it has to increase its speed. But once it has increased its speed to match with the other cars, it will stay at the same pace.

Answer:

64.21

Step-by-step explanation:

After performing some simple mathematical operations, we know that 6.421 x 10 = 64.21.

So, 6.421 x 10 = ?:

Evaluate as follows:

Therefore, after performing some simple mathematical operations, we know that 6.421 x 10 = 64.21.

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The correct question is given below:

Multiply. 6.421 x 10 = _____

A. 0.6421

B. 64.21

C. 642.10

D. 6,421

Answer:

k = 35, c = 65

Step-by-step explanation:

Solve the following system:

{c + k = 100 | (equation 1)

{11 c + 51 k = 2500 | (equation 2)

Swap equation 1 with equation 2:

{11 c + 51 k = 2500 | (equation 1)

{c + k = 100 | (equation 2)

Subtract 1/11 × (equation 1) from equation 2:

{11 c + 51 k = 2500 | (equation 1)

{0 c - (40 k)/11 = -1400/11 | (equation 2)

Multiply equation 2 by -11/40:

{11 c + 51 k = 2500 | (equation 1)

{0 c+k = 35 | (equation 2)

Subtract 51 × (equation 2) from equation 1:

{11 c+0 k = 715 | (equation 1)

{0 c+k = 35 | (equation 2)

Divide equation 1 by 11:

{c+0 k = 65 | (equation 1)

{0 c+k = 35 | (equation 2)

Collect results:

Answer: {c = 65 , k = 35

Answer:

20,951

Step-by-step explanation:

If the company sold 21,00 ovens and this year they sold 49 fewer, then that means we are being told to subtract 49 from 21,00 which is the initial value.

21,000-49 = 20,951

therefore, this year they sold 20,951 (twenty-thousand nine hundred fifty one) ovens.

Answer:

20,951 ovens

Step-by-step explanation:

Last year, the company sold 21,000 ovens. This year, they sold 49 fewer ovens that that.

Fewer, means less, or subtractions. Therefore; we must subtract 49 (the difference between this year and last year) from 21,000 (the number of ovens sold this year)

21,000-49

20,951

The company sold 20,951 ovens this year.

Answer: (1, 0)

Step-by-step explanation:

Just plug in the coordinates for x and y to see if the final answer has x and y equivalent.

(0) = (1)^2 - 4(1) + 3

0 = 1 - 4 + 3

0 = -3 + 3

0 = 0

Answer:

(2, -1)

Step-by-step explanation:

Ap3x

Answer:

[tex]\dfrac{2}{11}[/tex]

Step-by-step explanation:

It is given that a card is drawn one at a time from a well-shuffled deck of 52 cards.

Total repetitions of this experiment = 11

Number of kings in the experiment = 2

Let E is the event in which a king is drawn in the 11 trials. So

[tex]P(E)=\dfrac{\text{Number of kings in the experiment}}{\text{Total repetitions of this experiment}}[/tex]

[tex]P(E)=\dfrac{2}{11}[/tex]

Therefore, the experimental probability P(E) is [tex]\dfrac{2}{11}[/tex].

Answer:

D. x = +/-sqrt(y - 11)

Step-by-step explanation:

y = x^2 + 11

x^2 + 11 = y

x^2 = y - 11

x = +/-sqrt(y - 11)

Answer:

32%

Step-by-step explanation:

Got it right on the quiz.

Pls give me brainliest

Answer:

32%

Step-by-step explanation:

Answer:

x^2 + 2^3x + 1

Step-by-step explanation:

In order to factor an integer, we need to repeatedly divide it by the ascending sequence of primes (2, 3, 5...).

The number of times that each prime divides the original integer becomes its exponent in the final result.

In our example,

    Prime number 2 to the power of 3 equals 8 .

Answer:

15/28

Step-by-step explanation:

3 3/7 ÷ 6 2/5

Change to improper fractions

(7*3+3)/7 ÷ (5*6+2)/5

24/7 ÷32/5

Copy dot flip

24/7 * 5/32

Cancel an 8 from the numerator and denominator

3/7 * 5/4

15/28

Answer: 15/28

Explanation: First write each mixed number as an improper fraction.

As a quick review, to write a mixed number as an improper fraction,

we multiply the denominator times the whole number,

then we add the numerator.

First rewrite 3 and 3/7 as 24/7 and 6 and 2/5 as 32/5.

So we have 24/7 ÷ 32/5.

Dividing by a fraction is the same as multiplying by its reciprocal.

In other words, we can change the division

sign to multiplication and flip the second fraction.

So 24/7 ÷ 32/5 can be rewritten as 24/7 × 5/32.

Before multiplying, noice that the 24 and 32 cross-cancel to 3 and 4.

So we have 3/7 × 5/4 which is 15/28.

Answer:132

Step-by-step explanation:

Answer:

132°

Step-by-step explanation:

first find the interior angle of the triangle.

the interior angle of a triangle is 180°

90°+42°+y°=180°

132°+y°=180°

y°=180°-132°

y°=48°

(y° represents the empty part).

angle on a straight line is equal to 180°

y°+x°=180°

48°+x°=180°

x°=180°-48°

x°=132°

Answer:

Step-by-step explanation:

hello,

I understand that there are only 4 cards  and then the player draw a card out of the 4 cards, replace it so the second draw is still out of the 4 cards

How many ways can you draw two cards?

as the first card is replaced, this is 4*4=16

so there is 16 possibles ways

hearts hearts

hearts clubs

hearts diamonds

hearts spades

clubs hearts

clubs clubs

clubs diamonds

clubs spades

diamonds hearts

diamonds clubs

diamonds diamonds

diamonds spades

spades hearts

spades clubs

spades diamonds

spades spades

out of these 16 ways, how many have same colour for both cards?

I assume that there are only two colours Red and Black, so we can have

only 8 ways so the first probability is 8/16 = 1/2

out of these 16 ways, how many are red ace first and black ace?

There are 4 ways so the probability is 4/16 = 1/4

hope this helps

Standard deck has aces in four colors

Player draws one from four so the probability of drawing any first card is 1/4 (in the first drawing)

We replace the card so in second drowing its the same

So the probability of drawing two card of one chosen color is 1/4*1/4, and we have four colors

The probability of drawing two card of the same color is:

There are 2 red aces and 2 black aces

(sorry for coments - not reading carefully)

So a probability of drawing red ace in first drawing is 2/4=1/2

a probability of drawing black ace in second drowing is the same ('cause we replace the one drawn first)

So the probability that a red ace is drawn first and then the black ace is:

Answer:

X = 6 2/3

Step-by-step explanation:

Steps are in the photo above

Answer:

16/3

Step-by-step explanation:

Begin the solution of 7+x-15=-2 2/3 by combining 7 and -15:  

                                       x - 8 = -8/3, which is equivalent to x = 24/3 - 8/3  

                                                                                   or:          x = 16/3

Answer:

x=-3

Step-by-step explanation:

3x+2=x+4x+8

3x+2=5x+8

-2x+2=8

-2x=6

x=-3

Answer:

[tex]x=-3[/tex]

Step-by-step explanation:

[tex]3x + 2 = x + 4(x+2)[/tex]

Expand the brackets.

[tex]3x + 2 = x + 4x+8[/tex]

[tex]3x + 2 = 5x+8[/tex]

Subtract [tex]-5x[/tex] and [tex]-2[/tex] from both sides of the equation.

[tex]3x-5x=8-2[/tex]

[tex]-2x=6[/tex]

[tex]\frac{-2x}{-2}=\frac{6}{-2}[/tex]

Divide [tex]-2[/tex] on both sides of the equation.

[tex]x=-3[/tex]

Answer:

[tex]5\%[/tex] loss.

Step-by-step explanation:

[tex]7600 \times (1+10\%)[/tex]

[tex]7600 \times 1.1=8360[/tex]

[tex]8000 \times (1+10\%)[/tex]

[tex]8000 \times 1.1=8800[/tex]

His loss is Rs 440.

[tex]\frac{440 \times 100}{8800}[/tex]

[tex]=5[/tex]

Answer:

Profit %age = 4.5 %

Step-by-step explanation:

Mr. Wilson bought the bike for = Rs 7,600

Profit %age = 10% of 7,600

Profit = [tex]\frac{10}{100}* 7600[/tex]

Profit = Rs 760

Amount in which the bike is sold = 7600 + 760 = Rs 8360

If Mr. Wilson had bought the bike for Rs. 8000 and sold it in the same amount,

So he would still be

having a profit of Rs. 360

How much Profit %age:

Profit % age = [tex]Profit * 100/CP[/tex]

Profit %age = 360 * 100 / 8000

Profit % age = 36,000 / 8000

Profit %age = 4.5 %

Answer:

Option B is the right option.

Solution,

P(3)=0.15

P(Not a 3)=1-P(3)

=1-0.15

=0.85

Hope this helps...

Good luck on your assignment

Answer:

I think it's c im not to sure

Step-by-step explanation:

Answer:

The answer is 3√5 mi.

The formula is: d = √(3h/2)

Wyatt:

h = 120 ft

d = √(3 * 120/2) = √180 = √(36 * 5) = √36 * √5 = 6√5 mi

Shawn:

h = 270 ft

d = √(3 * 270/2) = √405 = √(81 * 5) = √81 * √5 = 9√5 mi

How much farther can Shawn see to the horizon?

Shawn - Wyatt = 9√5 - 6√5 = 3√5 mi

Answer:

its b

Step-by-step explanation:

i just did it

Answer:

X = (V / LJ)

Step-by-step explanation:

V = XLJ

Since you're isolating X, divide both sides by (LJ)

(V / LJ) = X

Answer:

62.363°

Step-by-step explanation:

The decimal form of degree is 62.363°.

Geographic coordinates for latitude and longitude can be expressed as decimal fractions of a degree using the notation decimal degrees (DD). Many geographic information systems (GIS), web mapping tools like OpenStreetMap, and GPS units all employ DD.

Latitudes that are positive are north of the equator and those that are negative are south of the equator. Longitudes that are positive are east of the Prime Meridian and those that are negative are west of the Prime Meridian.

Given 62°21'47"

A DMS value is converted to decimal degrees using the formula:

[tex]{\displaystyle \mathrm {D} _{\text{dec}}=\mathrm {D} +{\frac {\mathrm {M} }{60}}+{\frac {\mathrm {S} }{3600}}}[/tex]

D = 62°

M = 21'

S = 47"

substitute the values,

[tex]{\displaystyle \mathrm {D} _{\text{dec}}[/tex] = 62 + 21/60 + 47/3600

[tex]{\displaystyle \mathrm {D} _{\text{dec}}[/tex] = 62 + 0.35 + 0.01305

[tex]{\displaystyle \mathrm {D} _{\text{dec}}[/tex] = 62.3630

[tex]{\displaystyle \mathrm {D} _{\text{dec}}[/tex] = 62.363°

Hence the decimal form is 62.363°.

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Answer:

Correct option: 1) 2600

Step-by-step explanation:

The letter has a total of 26 possible values (from 'a' to 'z'), and each digit has a total of 10 possible values (from 0 to 9).

So, to find the number of reserved seats possible, we just need to multiply the number of possible values of each letter and digit.

We have one letter and two digits, so we have:

26 * 10 * 10 = 2600 possible reserved seats

Correct option: 1)

Answer:

1.) 2,600

Step-by-step explanation:

Answer:

3.5 times 10^7

Step-by-step explanation:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the 10. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

3.5×10^7

Hope this helps :P

Answer:

3.5 × 10^7

Step-by-step explanation:

Put the decimal point after 3.

Count how many decimal places will be needed to move to the right.

10 million has 7 zeros.

Answer:

A+B+C+D = 13

Step-by-step explanation:

The given expression is:

[tex]\dfrac{1+\sqrt{2}}{2+\sqrt{3}}[/tex]

We have to simply it and express it in the form of:

[tex]A(1+\sqrt{B})-(\sqrt{C}+\sqrt{D})[/tex]

Multiply and divide the given expression with [tex]2-\sqrt 3[/tex]:

[tex]\dfrac{1+\sqrt{2}}{2+\sqrt{3}} \times \dfrac{2-\sqrt 3}{2-\sqrt 3}\\\Rightarrow \dfrac{(1+\sqrt{2}) \times (2-\sqrt 3)}{(2+\sqrt{3})\times (2-\sqrt 3)}\\\Rightarrow \dfrac{2+2\sqrt2-\sqrt3-\sqrt6}{2^2-(\sqrt{3})^2}\\\Rightarrow \dfrac{2+2\sqrt2-\sqrt3-\sqrt6}{4-3}\\\Rightarrow \dfrac{2(1+\sqrt2)-(\sqrt3+\sqrt6)}{1}\\\Rightarrow 2(1+\sqrt2)-(\sqrt3+\sqrt6)[/tex]

It is the simplified form of given expression.

Formula used:

[tex](a+b)(a-b) = a^{2} -b^{2}[/tex]

Comparing the simplified expression with [tex]A(1+\sqrt{B})-(\sqrt{C}+\sqrt{D})[/tex]

[tex]2(1+\sqrt2)-(\sqrt3+\sqrt6)=A(1+\sqrt{B})-(\sqrt{C}+\sqrt{D})\\\Rightarrow A =2, B=2, C=3\ and\ D=6[/tex]

So, value of

[tex]A+B+C+D = 2+2+3+6 = 13[/tex]