tell whether the angles are adjacent or vertical.​

Answer:

x = 4

Step-by-step explanation:

The volume (V) of the triangular prism is calculated as

V = area of triangular face × length

Area of triangle = [tex]\frac{1}{2}[/tex] bh

b is the base and h the perpendicular height

here b = 9 and h = 12 ← sides at right angles

A = [tex]\frac{1}{2}[/tex] × 9 × 12 = 54 m²

The length of the prism = x and V = 216, hence

54x = 216 ( divide both sides by 54 )

x = 4

Answer:

A 36

Step-by-step explanation:

We can determine the scale factor

From triangle ABC BC =9

                     DEF  EF = 90

We multiply by 10

The scale factor is 10

AC ( 10) = DF

We know DF = 360

b  * 10 = 360

Divide each side by 10

10b/10 = 360/10

b = 36

Answer:

C.  3x2 − 3x − 60

Step-by-step explanation:

3(x + 4) (x - 5) = (3x+12) (x-5)

(3x+12) (x-5) = 3x2+12x-15x-60

3x2+12x-15x-60 = 3x2 − 3x − 60

C. 3x^2-3x-60 Hope it helps

Answer:

The answer is A.

Step-by-step explanation:

I got this answer by going through the regular division system.

Answer:

x = 63 degrees.

Step-by-step explanation:

So first, 2y - 30 = 68 degrees.

It is because of alternative interior angles.

2y - 30 = 68

2y = 98   Move the -30 to the other side

98/2 = 49  So, y = 49

So in a triangle, the 3 angles equal 180 degrees.

So you do 49 + 68 = 117 degrees. You do this, because the 2 angle not including x is 49 and 68

Then you subtract 117 from 180

180 - 117 = 63 degrees. You do this because the 3 angles of a triangle equal 180 degrees.

So x = 63 degrees

Answer:

x = 63

Step-by-step explanation:

Since AB and CD are parallel lines, then

2y - 30 = 68 ( corresponding angles )

Add 30 to both sides

2y = 98 ( divide both sides by 2 )

y = 49

The third angle in the triangle = 68 ( alternate angles )

The sum of the 3 angles in the triangle = 180°, that is

x + y + 68 = 180 ← substitute value of y

x + 49 + 68 = 180

x + 117 = 180 ( subtract 117 from both sides )

x = 63

The average number of feet per day they need to ascend is 'Feet climbed per day ≥ 1,761.5'.

The mountain climbing team must calculate the average number of feet to climb each day in order to reach the summit of Mount Everest, which is at an altitude of 29,029 feet. Starting from an altitude of 18,460 feet, the team needs to climb the remaining distance to the summit within 6 days. To find the average feet per day they need to ascend, we use an inequality.

First, we determine the total feet that the team must climb:

Total feet to climb = Summit altitude - Current altitude
                        = 29,029 feet - 18,460 feet
                        = 10,569 feet

Now we divide the total feet by the number of days to find the average feet per day:

Average feet per day = Total feet to climb / Number of days
                      = 10,569 feet / 6 days

Since the team must climb at least this average number of feet daily, the inequality will be:

Feet climbed per day ≥ 10,569 feet / 6 days

By solving the inequality, we find that the team must climb at least 1,761.5 feet per day.

Therefore, the inequality to represent the average number of feet the team must climb per day to reach the summit within 6 days is:

Feet climbed per day ≥ 1,761.5

Answer:

an = -1.3n -2.4

Step-by-step explanation:

The formula for an arithmetic sequence is

an = a1 +d (n-1)

where a1 is the first term and d is  the common difference

an = -3.7 - 1.3(n-1)

Distribute

an = -3.7 -1.3n +1.3

an = -2.4 - 1.3n

an = -1.3n -2.4

The like terms are 1.3b and -3.2b because they both have the variable b attached to it so you may combine them

(1.3b + (-3.2b) ) + 7.8

-1.9b + 7.8

Hope this helped!

~Just a girl in love with Shawn Mendes

Answer: f(x) has a domain that contains the domain of g(x).

Step-by-step explanation:

The domain of f(x) is: x - 2 > 0

                             -->       x > 2

The domain of the graph g(x) is: x ≥ 3

All of the values of x ≥ 3 are included in x > 2.

Answer:

The length of the diagonal of a poster board is [tex]35.6\ in[/tex]

Step-by-step explanation:

Let

x----> the length of the diagonal of a poster board

we know that

Applying the Pythagoras Theorem

[tex]x^{2}=22^{2}+28^{2} \\ \\x^{2}=1,268\\ \\x=35.6\ in[/tex]

Answer:

The length of the diagonal of a poster board is 35.6 inches.

Step-by-step explanation:

To find : What is the length of the diagonal of a poster board with dimensions 22 inches by 28 inches?

Solution :

The dimensions of a poster board is

Length = 22 inches

Breadth = 28 inches

The diagonal is given by,

[tex]D=\sqrt{L^2+B^2}[/tex]

[tex]D=\sqrt{22^2+28^2}[/tex]

[tex]D=\sqrt{484+784}[/tex]

[tex]D=\sqrt{1268}[/tex]

[tex]D=35.60[/tex]

Therefore, the length of the diagonal of a poster board is 35.6 inches.

ANSWER

[tex]a_n= \frac{1}{2}( {2}^{n - 1} )[/tex]

EXPLANATION

The corresponding ordered pairs from the graph are:

(2,1) (3,2) (4,4) (5,8)

The y-values are:

1,2,4,8

The first term term is the term before 1,this has to be.

[tex]a_1= \frac{1}{2} [/tex]

The common ratio is

[tex]r = \frac{2}{1} = 2[/tex]

The nth term is given by

[tex]a_n=a_1 {(r}^{n - 1} )[/tex]

Let's substitute the values to get,

[tex]a_n= \frac{1}{2} \times {(2}^{n - 1} )[/tex]

This simplifies to,

[tex]a_n= \frac{1}{2} {(2}^{n - 1} )[/tex]

The graph represents a geometric sequence with a common ratio of 2, best defined by the function an = 2(2)^n – 1.

This graph represents a geometric sequence. A geometric sequence is a sequence of numbers where each term after the first is found by multiplying the previous term by a fixed, non-zero number called the 'common ratio'. In this case, the common ratio is 2, because each y-coordinate is twice the y-coordinate of the point before it (2, 1), (3, 2), (4, 4), (5, 8). Therefore, the sequence is best represented by the option A an = 2(2)^n – 1.

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False, the min and max of A are the same distance as the min and max of B from each other, therefore the standard deviation is the same.

6.5 x 4 = 26

The perimeter of the square is 26 ft.

Answer: 26 ft

Step-by-step explanation: you have add all sides.

Answer:

It ends at 7:30.

Final answer:

Tim's swimming practice starts at 7 o'clock and after adding the 30 minutes duration, it ends at 7:30.

Explanation:

The question pertains to adding time, specifically calculating the end time of an activity based on its duration. If Tim's swimming practice starts at 7 o'clock and ends 30 minutes later, the end time can be found by adding 30 minutes to the start time.

Here's how you calculate it:

Start with the initial time of the practice, which is 7:00.

Add the duration of the practice, which is 30 minutes.

Since there are 60 minutes in an hour, adding 30 minutes to 7:00 does not increase the hour value. Therefore, the practice ends at 7:30.

So, Tim's swimming practice ends at 7:30.

To find the missing lengths of the sides, you need to use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

To find the missing lengths of the sides, you need to use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b). So, the equation is: a² + b² = c².

For example, if b is missing and c is 16, you can plug the values into the equation and solve for b: a² + b² = 16². Once you find the value of b, you can follow the same process for the other missing lengths.

Remember to square each side length before adding them. Then, find the square root of the sum to find the length of the hypotenuse.

Answer:  customer is incorrect  

Step-by-step explanation:

I am working this from b first

b $800 x .20 (20%) = $160 discount

$800 - $160 = $640 customers price

the price of the computer after the 20% discount would be $640

a  customer thinks seller is going to break even  this is not true

$640 (customer cost after discount) x .20 (20% discount) =$ 128

$640 + $128 = $768

Cost of the laptop before the 20% markup is $667.67

$666.67 x .20 = $133.33

$666.67 + $133.33 = $800

$768 ≠ $667.67

For this case we must find three consecutive whole numbers whose sum is equal to 363. These numbers should be close to 120. So, these numbers are:

120,121 and 122. If we add them together we have:

[tex]120 + 121 + 122 = 363[/tex]

Answer:

120,121 and 122

[tex]120 + 121 + 122 = 363[/tex]

Take the total price - rate . 0.12

38 - 8 = 30 / 0.12 = 250 <- The customer used 250 mins.

Hope I helped :)

Answer:

Step-by-step explanation:

-1 is included in the inequality. 2 is not included.

-1 ≤ x < 2

So this reads as x is greater than or equal to - 1 and x is less than 2.

Answer: -1 less equals x < 2

Answer:

67

Step-by-step explanation:

First number between 100 to 500 which is divisible by 6 is 102

Multiples of 6 between 100 to 500 :

102,102+6,102+6+6,....

This Forms an AP

a= first term = 102

d = common difference = 6

Last number between 100 to 500 which is divisible by 6 is 498

So, [tex]a_n=498[/tex]

Formula of nth term = [tex]a_n=a+(n-1)d[/tex]

[tex]498=102+(n-1)6[/tex]

[tex]498-102=(n-1)6[/tex]

[tex]396=(n-1)6[/tex]

[tex]\frac{396}{6}=n-1[/tex]

[tex]66=n-1[/tex]

[tex]66+1=n[/tex]

[tex]67=n[/tex]

Hence there are 67 multiples of 6 between 100 to 500.

ANSWER

36√3 square units.

EXPLANATION

The area of a parallelogram is obtained by multiplying the base by the height.

We use the sine ratio to obtain the height.

[tex] \sin(60 \degree) = \frac{h}{6} [/tex]

[tex]h = 6 \sin(60 \degree) [/tex]

[tex]h = 3 \sqrt{3} [/tex]

The area becomes:

[tex]12 \times 3 \sqrt{3} = 36 \sqrt{3} {units}^{2} [/tex]

Answer:

Step-by-step explanation: the answer is 21%

Answer:

21%

Step-by-stStep-by-stepep explanation:

Answer:

d)96π

Step-by-step explanation:

Given:

Cyliner with radius,a= 4

Height b=8

Surface area of cylinder, A=2πrh+2πr^2

=2π(rh+r^2)

=2π(4(8) + 4^2)

= 2π(32+16)

 =2π(48)

 =96π !

Answer: Option D.

[tex]A =96\pi\ cm^2[/tex]

Step-by-step explanation:

The area of the circular bases is:

[tex]A_c = 2\pi(a) ^ 2[/tex]

Where

[tex]a=4\ cm[/tex] is the radius of the circle

Then

[tex]A = 2\pi(4) ^ 2[/tex]

[tex]A = 32\pi\ cm^2[/tex]

The area of the rectangle is:

[tex]A_r=b * 2\pi r[/tex]

Where

[tex]b=8\ cm[/tex]

b is the width of the rectangle and [tex]2\pi r[/tex] is the length

Then the area of the rectangle is:

[tex]A_r=8 * 2\pi (4)[/tex]

[tex]A_r=64\pi\ cm^2[/tex]

Finally the total area is:

[tex]A = A_c + A_r\\\\A = 32\pi\ cm^2 + 64\pi\ cm^2\\\\[/tex]

[tex]A =96\pi\ cm^2[/tex]

Answer:

-6

Step-by-step explanation:

-9+4=-5-3=-8+2=-6

Answer:44

Step-by-step explanation:

The equation relates Alice’s and Martha's ages in years. Alice’s age (a) = Martha’s age (m) + 22 The blank spots on table are filled by 33-11 and 48-26.

An equation represents the equality of two or more mathematical expressions.

When someone asks you to solve an equation, then they usually mean to find the values of the unknowns for which that equation would be true (the equality between expressions should hold true for those values).

Solutions to an equation are those values of the variables involved in that equation for which the equation is true.

The table shows Alice's age (a) and her daughter Martha's age (m).

In order to find the blank spots, we need to find the difference in the filled spots. We are trying to figure out the difference which is subtraction.

28 - 6 = 22

37 - 15 = 22

To find Martha's age when Alice was 33, we would subract 22.

33 - 22 = 11

similarly, when Alice was 48.

48 - 22 = 26

And the last equation is asking the difference between them, which is 22.

Learn more about solving equations here:

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Answer:(-6,-10)

Step-by-step explanation:

Let’s say that A is (-5,-6) and B is (-3,2). The slope of AB is (-6-2)/(-5+3)=(-8)/(-2)=4

The equation of AB is:

y-2=4(x+3)

y=4x+14

The lines intersect in:

4x+14=x-4

3x=-18

x=-6

(-6,-10)

Answer:

3;14;27;48

Step-by-step explanation:

Answer:

3, 12, 27, 48

Step-by-step explanation:

To find the first 4 terms substitute n = 1, 2, 3, 4 into the rule, that is

n = 1 → 3 × 1² = 3 × 1 = 3 ← first term

n = 2 → 3 × 2² = 3 × 4 = 12 ← second term

n = 3 → 3 × 3² = 3 × 9 = 27 ← third term

n = 4 → 3 × 4² = 3 × 16 = 48 ← fourth term

Answer: The answer I got was 39

Step-by-step explanation: