One angle of a right triangle measures 21∘. What is the measure of the other angle?

Answer:

Step-by-step explanation:

Solve for π

Answer:

Step-by-step explanation:

V = 4 π r³

      3

solve for π

3*V = 4π r³

3V = π

4r³

therefore.

π = 3V

      4r³

It will cost $412.50 for equipment for all stations.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Dan orders supplies for the science lab. Each of the 30 stations in the chemistry lab needs 5 feet of rubber tubing. If rubber tubing sells for $8.25 per yard.

The cost will be calculated as below,

3 feet = 1 yard

5 x 30 = 150 feet

8.25 per yard = cost

150/ 3 = 50 yards (total tubing needed)

50 x 8.25 = $ 412.50

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Answer:

12

Step-by-step explanation:

Answer:

The answer is "[tex]\bold{ \mu =0.967, x=3, \ and \ e= 2.718}[/tex]".

Step-by-step explanation:

A distribution of poulet applies because it deals through events (bomb hits) over even a sample space (the region with [tex]0.95 \ km^2[/tex] area).  

Its average hit number per area is:  

[tex]\to \mu = \frac{\text{Number of hits of bomb}}{ \text{number of regions number}}[/tex]

       [tex]=\frac{535}{553} \\\\= 0.967 \\\\[/tex]

[tex]\to x = 3\\\\\to e = 2.718[/tex]

Answer:

I'm pretty sure it's cubic meters

Answer:

1. y² = 169

taking a square root of both sides

y = √169

we know that 13 * 13 = 169

since when squaring a number, the signs on the numbers do not matter

(i.e - 2* 2 = 4 and (-2)*(-2) = 4)

So (-13) * (-13) = 169 as well

Hence we can say that √169 = ±13      OR      √169 = +13   and   -13

2. Volume of a cube-shaped crate = side*side*side

Volume = side³

(We are given that volume = 27)

27 = side³

side = ∛27

Since 3*3*3 = 27     and (-3)*(-3)*(-3) = 27

So, we can say that ∛27  = ± 3

BUT

the side of a crate cannot be negative, so the side will NOT be -3 and hence,

side = 3

3. b³ = 1000

we know that 10*10*10 = 1000    and     (-10)*(-10)*(-10) = 1000

So, ∛1000 =  ∛(10*10*10)= ±10

4. Area of a square(Patio)  = Side²

Area = Side²

196 = Side² (Since we are given the area of the patio)

Side = √196 = √(14*14) or √(-14*-14)

Hence,

Side = + 14 or -14

but the side of a patio cannot be negative

Side = +14 ft

Answer:

2x - 4

Step-by-step explanation:

So first the length is 4 feet less than twice the width meaning that to find the length you subtract twice the width ( 2x ) minus 4.

Thus it becomes 2x - 4

HOPE IT HELPED

Step-by-step explanation:

16. d-4 = -7

or, d = -7+4

or, d = -3

therefore, d = -3.

17. c-34 = 20

or, c = 20+34

or, c = 54

therefore, c = 54

18. a-4 = -18

or, a = -18 + 4

or, a = -14

therefore, a = -14

19. r-3 = 8

or, r = 8+3

or, r = 11

therefore, r = 11

20. z-100 = 100

or, z = 100+100

or, z = 200

therefore, z = 100

21. 5 = d - 1

or, 5+1 = d

or, 6 = d

or, d = 6

therefore, d = 6

Answer:

3 child tickets and 2 adult tickets

Step-by-step explanation:

5t = 26

2c + 10a = 26

c = 3  a = 2

(2 * 3) + (10 * 2) = 26

6 + 20 = 26

The equations are c + a = 5 and 2c + 10a = 26. Then the number of children and adults will be 2 and 3, respectively.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

Mr. Frankel bought 5 tickets to a puppet show and spent $26. He bought a combination of child tickets for $2 and adult tickets for $10 each.

Let 'c' be the number of children and 'a' be the number of adults. Then we have

a + c = 5                     ...1

2c + 10a = 26            ...2

From equations 1 and 2, then we have

2(5 - a) + 10a = 26

10 - 2a + 10a = 26

8a = 16

a = 2

Then the value of the variable 'c' is calculated as,

2 + c = 5

c = 3

The equations are c + a = 5 and 2c + 10a = 26. Then the number of children and adults will be 2 and 3, respectively.

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Answer:

It is 1/2

Step-by-step explanation:

the rise is 2

the run is 4

2 over four simplifies to one half

Answer:

Mitchell's dog is 3 years old

Step-by-step explanation:

9 x 1/3 = 3

9 + 3 = 12

To solve this I just thought of the multiples of three under 12 that if added to 3 are equal to 12 to find Katie's cat age. The multiples of three under 12 are 3, 6 and 9. It couldn't be 3 and 6+3=9 so it had to be 9. So if Katie's cat is 9, you just multiply 9 by 1/3 or divide it by 3 to find Mitchell's dog age.

Answer:

121

we can factor it

121 = 11×11

121=(11)2

121=11

so options c is correct

x=12

This the answer hope this helps

If you need the steps please feel free to contact me in the comments

Answer:

Length of each shelf is 0.45 meters

Step-by-step explanation:

Given

[tex]Total\ Length = 2.25\ meters[/tex]

[tex]Shelves = 5[/tex]

Required

Determine the length of each shelf

This is calculated by dividing the total length by number of shelves as thus:

[tex]Length = Total\ Length/Number\ of\ Shelf[/tex]

[tex]Length = 2.25m /5[/tex]

[tex]Length = 0.45m[/tex]

Hence;

Length of each shelf is 0.45 meters

Answer:

0.45

Step-by-step explanation:

Answer:

Step-by-step explanation:

0.72%, .63= 63%, 69%, 3/4

Answer:

Listen don't use this site

Step-by-step explanation:

They are using people to make money

Answer:

4% out of 100

Step-by-step explanation:

4% out of 100 students took the exam

Answer:

15 inches

Step-by-step explanation:

If 3 miles represents 5 inches and you want to know what represents 9 miles Just multiply 5*3 to get 15

Answer:

it should be D thx

Step-by-step explanation:

Answer:

The answer is Not a line (no constant slope)

Step-by-step explanation:

21/7

-2/-1

78/26

-105/-35

The slope is always different, therefore there is no constant slope!

Hope this helps!

Answer:

$6,000

Step-by-step explanation:

Basically just multiply 25*16 to see how many raffle tickets the class sold in total (400). Then to find the amount of money they raised, multiply 400*15 (6,000).

Answer:

-0.8

Step-by-step explanation:

hope this helps :3

Answer:

-4/5 for fraction or -0.8 for decimal

Step-by-step explanation:

Answer:

Answer:

Boy

Explanation:

Answer:

Boy

Explanation:

Answer:

Boy

Explanation:

Answer:

Boy

Explanation:

Answer:

Boy

Explanation:

Answer:

Boy

Explanation:

Answer:

Boy

Explanation:

Answer:

Boy

Explanation:

Answer:

Boy

Explanation:

Answer:

Boy

Explanation:

Step-by-step explanation:

The required number of employees being laid off is 90.

A percentage is a value that indicates 100th part of any quantity.

A percentage can be converted into a fraction or a decimal by dividing it by 100.

Given that,

The number of employees laid off last year was 75.

The percentage increase in laid off  for present year is 20%.

The number of employees laid off can be calculated as follows,

75 + 20% of 75

= 75 + 20/100 × 75

= 75 + 15

= 90

Hence, the number of employees laid off in the present year is 90.

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Answer:

since angle a and b are vertical angles

therefore we can say that,

i) <A=<B

or,20x+10=30x-10

or,10+10=30x-20x

or,20=10x

.°. x=10.

Answer:

9

Step-by-step explanation:

Answer:

Kindly check explanation

Step-by-step explanation:

Given the data:

79.3, 75.1, 78.2, 74.1, 73.9, 75.0, 77.6, 77.3, 73.8, 74.6, 75.5, 74.0, 74.7, 75.9, 72.9, 73.8, 74.2, 78.1, 75.4, 76.3, 75.3, 76.2, 74.9, 78.0, 75.1, 76.8

a) Calculate a point estimate of the mean pull-off force of all connectors in the population. State which estimator you used and why.

The mean can be used as a point estimate for the pull of force.

Using a calculator :

The mean(m) :

Σx /n = 1966/26

= 75.62 pounds

(b) Calculate a point estimate of the pull-off force value that separates the weakest 50% of the connectors in the population from the strongest 50%.

To obtain this, we calculate the median:

Median = 0.5(n + 1)th term

Median = 0.5(27)th term = 13.5

Take the 13th and 14th term:

(75.1 + 75.3) / 2 = 75.2 pounds

(c) Calculate point estimates of the population variance and the population standard deviation.

Using calculator ; the variance (s²) = 2.73815

The standard deviation (s) = √variance

s = √2.73815 = 1.655

(d) Calculate the standard error of the point estimate found in part (a). Interpret the standard error.

Standard Error = standard deviation / √n

Standard Error = 1.655 / √26

= 0.3245

(e) Calculate a point estimate of the proportion of all connectors in the population whose pull-off force is less than 73 pounds

Number of Proportions less than 73 pounds / number of samples

= 1 / 26

= 0.0385

Answer:

A

Step-by-step explanation:

Notice:  The literal factors are all the combinations of a and b where the sum of the exponents is 4:  a4,  a3b,  a2b2,  ab3,  b4.

The degree of each term is 4.

The first term is actually a4b0, which is a4 · 1.

Thus to "expand" (a + b)5, we would anticipate the following terms, in which the sum of all the exponents is 5:

(a + b)5 =  ? a5 +  ? a4b +  ? a3b2 +  ? a2b3 +  ? ab4 +  ? b5

The question is, What are the coefficients?

They are called the binomial coefficients.  In the expansion of

(a + b)4, the binomial coefficients are

1  4  6  4  1

The coefficients in the expansion are 1, 4, 6, 4, 1.

The sum of exponents of x and y is always n. The binomial coefficients which are equidistant from the beginning and from the ending are equal i.e. [tex]^nC_0[/tex]= [tex]^nC_n[/tex], [tex]^nC_1[/tex]= [tex]^nC_{n-1}[/tex], [tex]^nC_2[/tex]= [tex]^nC_{n-2}[/tex] ,….. etc.

The expansion of [tex](x+ y)^4[/tex]

= [tex]x^4[/tex] + 4x³y + 6x²y² + 4xy³ + [tex]y^4[/tex]

So, the highest degree is 4.

and, The literal factors are all the combinations are  [tex]x^4[/tex], 4x³y, 6x²y², 4xy³,[tex]y^4[/tex]

Hence, the coefficients in the expansion are 1, 4, 6, 4, 1.

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Answer:

Did you mean [tex]\frac{-2x}{9} ?\\[/tex]

Please clarify so that I can work this problem out for you :)

Step-by-step explanation: