The measure of an angle is 32.3°. What is the measure of its complementary angle?

Answer:

The answer is 1,000

SInce the beginning number is 3 and there are ten possible numbers to put in the remaining three slots, there are exactly 1,000 possible combinations for a 3-digit code. The answer is 1,000. There are 3 rows of 10 digits. The number of combinations 10 to the thid power which is 1000 (10 * 10 * 10)

Answer:

22/175

Step-by-step explanation:

42 = 1

5,280 = ???

5,280 x 1 : 42= 22/175

Answer:

3.47$

Step-by-step explanation:

ANSWER:

-23 ° C

STEP-BY-STEP EXPLANATION:

With the data of the statements we can propose the following equation

We replace by A and solve for B:

Chemical B freezes at -23 ° C

Answer:

$465

Step-by-step explanation:

100 - 50/3 = 250/3

250/3 ÷ 100 = 5/6

$387.50 ÷ 5/6 = $465

Considering the definition of distance between two points, the distance between the points (-2,1) and (5,-4) is √74= 8.6023.

The distance between two points is equal to the length of the segment that joins them. Therefore, to determine the distance between two different points, you must calculate the squares of the differences between their coordinates and then find the root of the sum of said squares.

In other words, the distance between two points in space is the magnitude of the vector formed by said points.

So, given the coordinates of two distinct points (x1, y1) and (x2, y2), the distance between two points is the square root of the sum of the squares of the difference of the coordinates of the points:

distance= \(\sqrt{(x2-x1)^{2} +(y2-y1)^{2} }\)

In this case, you know:

Replacing in the definition of distance:

distance= \(\sqrt{(5-(-2))^{2} +(-4-1)^{2} }\)

distance= \(\sqrt{(5+2)^{2} +(-5)^{2} }\)

distance= \(\sqrt{7^{2} +(-5)^{2} }\)

distance= \(\sqrt{49+25 }\)

distance= √74= 8.6023

Finally, the distance between the points (-2,1) and (5,-4) is √74= 8.6023.

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Answer:

The answer is "6.635776".

Step-by-step explanation:

If the proportion estimation is not given, then the approximate is true. So, it is in the top condition, which referring its overall error margin that is equal to 0.5.  

Therefore the margin of error=0.05   With z=2.576  

\(\to 0.05=2.576 \times \sqrt{(0.05 \times \frac{0.05}{N})}\\\\\to 0.05=2.576 \times \sqrt{( \frac{0.0025}{N})}\\\\\to \sqrt{N}= \frac{2.576 \times 0.05}{0.05}\\\\\to \sqrt{N}= 2.576\)

square the above equation:

\(\to (N)^2= (2.576)^2\\\\\to N^2= 6.635776\\\\\)

So the number of required residents=6.635776

Answer:

A. The volume of the triangular prism can be calculated using the formula V = (1/2)bh × h, where b is the base of the triangular face and h is the height of the prism. Thus, V = (1/2)(7 cm)(10 cm) × 20 cm = 700 cubic centimeters.

B. If the height of the prism is tripled to 60 cm, then the new volume would be V' = (1/2)(7 cm)(10 cm) × 60 cm = 2100 cubic centimeters. Thus, the volume is tripled.

C. If the base of the triangular face is tripled to 21 cm, then the new volume would be V' = (1/2)(21 cm)(10 cm) × 20 cm = 2100 cubic centimeters. Thus, the volume is tripled.

D. If the height of the triangular face is tripled to 30 cm, then the new volume would be V' = (1/2)(7 cm)(30 cm) × 20 cm = 2100 cubic centimeters. Thus, the volume is tripled.

E. If all three dimensions (base, height of triangular face, and height of prism) are tripled, then the new volume would be V' = (1/2)(21 cm)(30 cm) × 60 cm = 18900 cubic centimeters. Thus, the volume is multiplied by a factor of 27.

Answer:

C and E

Step-by-step explanation:

23 > 16 and \(23\geq 16\) are both true statements since the quantity of 23 is greater than that of 16.

Trapezoid EFGH is not congruent to trapezoid E’F’G’H’ because there is no sequence of rigid motions that map trapezoid EFGH to trapezoid E’F’G’H’. Option D is correct .

What is a trapezoid simple definition?

A trapezoid, also referred to as a trapezium, is an open, flat object with 4 straight sides and 1 set of parallel sides.

                         A trapezium's parallel bases and non-parallel legs are referred to as its bases and legs, respectively.

1) We have and isosceles trapezoid DEFG and and another trapezoid D'E'F'G' dilated.

2) E'F'G'H' is not congruent to EFGH (due to its legs) Besides that, E'F'G'H has undergone not to rigid motions. Rigid motions are better known as translations and rotations and they preserve length and angles. That was not the case.

3) So it's d, the only correct choice:

d) Trapezoid EFGH is not congruent to trapezoid E’F’G’H’ because there is no sequence of rigid motions that map trapezoid EFGH to trapezoid E’F’G’H’.

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The complete question is -

The coordinates of the vertices of trapezoid EFGH are E(-8, 8), F(-4, 12), G(-4, 0), and H(-8, 4).  The coordinates of the vertices of trapezoid E’F’G’H’ are E’(-8, 6), F’(-5, 9), G’(5, 0), and H’(-8, 3).   Which statement correctly describes the relationship between trapezoid EFGH and trapezoid E’F’G’H’?   a)     Trapezoid EFGH is congruent to trapezoid E’F’G’H’ because you can map trapezoid EFGH to trapezoid E’F’G’H’ by reflecting it across the x-axis and then translating it up 14 units, which is a sequence of rigid motions. b)     Trapezoid EFGH is congruent to trapezoid E’F’G’H’ because you can map trapezoid EFGH to trapezoid E’F’G’H’ by translating it down 2 units and then reflecting it over the y-axis, which is a sequence of rigid motions c)     Trapezoid EFGH is congruent to trapezoid E’F’G’H’ because you can map trapezoid EFGH to trapezoid E’F’G’H’ by dilating it by a factor of 34 and then translating it 2 units left, which is a sequence of rigid motions d) Trapezoid EFGH is not congruent to trapezoid E’F’G’H’ because there is no sequence of rigid motions that map trapezoid EFGH to trapezoid E’F’G’H’.

a. The equation shows that a 11-pound turkey would need to be roasted for 335 minutes.

b. A turkey that takes 300 minutes to roast would weigh 14 pounds.

a. The rule for finding the time in minutes needed to roast a turkey is:

time in minutes = 15 + (pounds of turkey * 20)

So, to find the time needed to roast a 11-pound turkey, we would use the following formula:

time in minutes = 15 + (11 pounds * 20)

= 335 minutes

b. To find the weight of a turkey that takes 300 minutes to roast, we would use the following formula:

pounds of turkey = (300 minutes - 15 minutes) / 20 minutes

= 14 pounds

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Because we have a vertical asymptote at x = -1, we conclude that the correct option is C.. Which of the following rational functions is graphed below? In the graph, we can see that we have a vertical asymptote at x = -1.. …

The required statistical parameters has been computed as follows:

Range = 15.

Standard deviation, SD = 4.4441.

Variance = 19.75.

Mathematically, the range of a data set can be calculated by using this formula;

Range = Highest number - Lowest number

Range = 36 - 21

Range = 15.

Mathematically, the mean for these data sets would be calculated by using this formula:

Mean = [F(x)]/n

F(x) = 22 + 29 + 21 + 24 + 27 + 28 + 25 + 36

F(x) = 212.

Mean = 212/8

Mean = 26.5

Next, we would calculate the standard deviation by using this formula:

SD = √(1/n × ∑(xi - u₁)²)

SD = √(1/5 × ∑(22 - 26.5)² + 1/5 × ∑(29 - 26.5)² + 1/5 × ∑(21 - 26.5)² + 1/5 × ∑(24 - 26.5)² + 1/5 × ∑(27 - 26.5)² + 1/5 × ∑(28 - 26.5)² + 1/5 × ∑(25 - 26.5)² + + 1/5 × ∑(36 - 26.5)²)

Standard deviation, SD = 4.4441.

In Statistics, the standard deviation of a data sample is the square root of the variance and this is given by this mathematical expression:

Variance = δ²

Variance = 4.4441²

Variance = 19.75.

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Step-by-step explanation:

10/15 and 5/15 aren't correct. Both aren't equal to a whole number. Irrational numbers.

15/1 is correct. The denominator is over 1, which makes the numerator equal to a whole number, 15.

Answer:

$6.99

Step-by-step explanation:

Divide the total cost by the number of months

4

Step-by-step explanation:

Answer:

Answer:

11+ 9 = 20

Step-by-step explanation:

=> 21-9=11

21 - 9 equals to 11 is actually a wrong answer

So in order to find the subtraction problem that will help us truly know whether the equation is wrong

=> 11+ 9 = 20

OR THE SECOND EQUATION IS

=> 21 - 11 = 10

Answer:
10

Step-by-step explanation:

-3x+7x-8=34+9x-2

(Combine like terms)

4x-8=32

(Add 8 to each side)

4x=40

(Divide by 4)

X=10

Answer:

Step-by-step explanation:

1 Wanderer

2 moves on its own orbits the sun

3 Saturn

4 saturn

Answer:

  9x -4y = -44

Step-by-step explanation:

You want the equation of the line through (-4, 2) and perpendicular to the line through (-4, 6) and (5, 2).

The equation of a line through (h, k) and perpendicular to the line through (x1, y1) and (x2, y2) can be written as ...

  (x2 -x1)(x -h) +(y2 -y1)(y -k) = 0

Using the given points, this becomes ...

  (5 -(-4))(x -(-4)) +(2 -6)(y -2) = 0

  9(x +4) -4(y -2) = 0

Expanding this gives the general form equation:

  9x -4y +44 = 0

Subtracting the constant gives the standard form equation:

  9x -4y = -44

The solution for \(y_{2}\) is \(y_{2}=m({x_{2}-x_{1}})+y_{1}}\).

The given expression is

\(m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\)

We have to solve the given expression for \(y_{2}\).

In the elimination method we use opposite symbol to eliminate the variable. If we have to eliminate the addition then we subtract the same variable and vice versa. If we have to eliminate the multiplication then we use division and vice versa.

To solve the expression for \(y_{2}\) we have to eliminate the all variable that have in subtraction and division of \(y_{2}\).

Firstly we multiply with \(x_{2}-x_{1}\) on both

\(m\times ({x_{2}-x_{1}})=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\times ({x_{2}-x_{1}})\)

Now we simplify the expression.

Since \(x_{2}-x_{1}\) have in division on multiplication so right side on left \({y_{2}-y_{1}}\)

\(m({x_{2}-x_{1}})={y_{2}-y_{1}}\)

Now we add \(y_{1}}\) on both side

\(m({x_{2}-x_{1}})+y_{1}}={y_{2}-y_{1}}+y_{1}\)

There is \(y_{1}}\) in subtraction and addition so right side only left \(y_{2}\)

Now the expression is

\(m({x_{2}-x_{1}})+y_{1}}=y_{2}\\\)

So,

\(y_{2}=m({x_{2}-x_{1}})+y_{1}}\).

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Answer:

Step-by-step explanation:

1-399

2  C

 3-A 99999

4a  

5b

7 b

8 C

9D

10c

Answer:

2S-a1n/n

Step-by-step explanation:

S = n(a1 + an)/2

2S = n(a1 + an)

2S = na1 + nan

nan = 2S - na1

an = (2S - n a1)/n

Answer: w=5 , L= 2+2(5)=12

Step-by-step explanation:

L=2+2W

A= 60

LxW=60, now we will replace the L

(2+2W)(W)=60   we multiply

2w^2+2w=60

2w^2+2w-60=0  we divide by 2 the equation so we can work easier

w^2+w-30=0

find out w using the quadratic equation

we will get 2 solution,

w=5 and another solution is -6, which is not valid, as the side can not be negative

Step-by-step explanation:

The expression in factored form is 5(q-20)(q-80).

The numbers 20 and 80 represent the values of q that make the expression equal to zero.

Setting the expression equal to zero, we get:

5(q-20)(q-80) = 0

This means that either (q-20) = 0 or (q-80) = 0, since the product of two factors is zero if and only if at least one of the factors is zero.

Solving for q in each case, we get:

q-20 = 0 -> q = 20

q-80 = 0 -> q = 80

Therefore, the numbers 20 and 80 represent the values of q that make the profit equal to zero (i.e., the break-even points). If Games 'n' Mods builds and sells fewer than 20 or more than 80 computers, it will operate at a loss. If it builds and sells between 20 and 80 computers, it will make a profit.

Answer:

2.5

Step-by-step explanation:

I took the test :)

Complete question :

A test consists of 10 multiple choice questions. Each question has 5 choices. To pass the test, a student must answer at least 6 questions correctly. If a student guesses on each question, the probability of getting it right is 20%. What is the probability that the student will pass the test?

Answer:

0.006370

Step-by-step explanation:

Number of options = 5, with only one correct,hence, p = 1/5 = 0.2

Number of questions = 10

Number of correct answers required to pass = 6

Using binomial distribution formula :

P(x =x) = nCx * p^x * (1 - p)^(n - x)

p = 0.2 ; 1 - 0.2 = 0.8

n = 10 ; x = 6

P(x ≥ 6) = p(6) + p(7) + p(8) + p(9) + p(10)

The formula above can be used to obtain the individual probabilities then taking the sum or we can obtain the solution using a calculator ;

Using a binomial probability distribution calculator with the parameters given :

P(x ≥ 6) = 0.0063693824

= 0.006370 ( 4 decimal places)

Answer:

Step-by-step explanation:

Its 4.51