The volume of the trapezoidal prism is

Answer:

it may be V ≈ 4191.6 cm3 so sorry if i'm wrong!!!

Step-by-step explanation:

Answer: V ≈ 2514.9 cm3

Step-by-step explanation:

To find the volume of the prism, first calculate the area of the base.

To find the apothem of the hexagonal base, recognize that the sum of the measures of the interior angles in a hexagon is (6−2)⋅180°=720°. So, the interior angle has measure 720°6/=120°.

The base angle of the triangles with the hexagon's sides as their base is one-half of 120°, or 60°. The apothem bisects these triangles to form two right triangles with the short leg length of 5.5 cm.

By the definition of tangent, tan 60°=?/5.5.

Solve for ?.

?=5.5 ⋅ tan 60°

Therefore, the apothem length equals 5.5 ⋅ tan 60°.

The area of a hexagonal base.

B=6⋅(12⋅11⋅?)

Substitute 5.5⋅tan60° for ?.

B=6⋅(12⋅11⋅5.5 ⋅ tan60°)

Simplify.

B=181.5 ⋅ tan60° cm2

The volume of a prism.

V=Bh

Substitute 181.5 ⋅ tan60° for B and 8 for h.

V=(181.5 ⋅ tan60°)⋅8

Multiply 181.5 by 8.

V=1452 ⋅ tan60°

Use a calculator to approximate.

V≈2514.9 cm3

Therefore, the volume of the hexagonal prism is approximately 2514.9 cm3.

Answer:

21

Step-by-step explanation:

Answer:

The cyclist can travel 0.9 miles in 2 minutes.

Step-by-step explanation:

1 hour = 60 minutes

Set up a conversion equation:

27 mi/1 hr × 1hr/60 mins

It is easier to see when writing it on paper, but the fractions are set up in a way to cancel the units out until the only units left are miles and minutes

After multiplying the numerators together and then multiplying the denominators together, you should reach the answer:

27 mi/60 mins

The cyclist can travel 27 miles in 60 minutes, but how many miles can he travel in 2 minutes?

Set up an equation:

Variable x = number of miles

27 mi/60 mins = x/2 mins

Cross multiply

27 × 2 = 60 × x

54 = 60x

Divide both sides by 60

0.9 = x

Answer:

3.84m

Step-by-step explanation:

If the scale for this Water tower is 1 : 12 then this means that for every 1cm of the model, the actual water tower has 12cm. Therefore, in order to find the actual depth of the water tower we first need to multiply the depth of the model by 12.

32cm * 12 = 384cm

1 cm is equal to 0.01 m , therefore we now have to multiply the depth of the actual water tower which is in cm by 0.01 to get the actual depth in meters

384 * 0.01 = 3.84m

Answer:

x=25

m∠3=60

m∠60=60

Step-by-step explanation:

angle3= angle6

2x+10=3x-15

x=25

m∠3=2(25)+10=60=m∠6

Answer:

The decrease is exponential.

Step-by-step explanation:

An exponential decrease is something like:

f(x) = A*(r)^x      with 0 < r < 1

A linear decrease is something like:

g(x) = -a*x + b               with a > 0

First ai general formula.

If you have a quantity Q, decreased by an X%, the new quantity will be:

New Quantity = Q - Q*(X%/100%)

Now let's look at the question:

Suppose that the original price of the computer component is K

And the price as a function of the year is P(y)

Then we know that, in the year zero, the price is K.

P(0) = K

One year after, the price decreases by 2.25%

Then:

P(1) = K - K*(2.25%/100%) = K*(1 - 0.0225)

After another year, we will have another decrease of 2.25%

Then:

P(2) =  K*(1 - 0.0225) -  K*(1 - 0.0225)*(2.25%/100%)

P(2) = K*(1 - 0.0225)*(1 - 0.0225) = K*(1 - 0.0225)^2

We already can see the pattern, we can expect that in the year y, the price of the component will be:

P(y) = K*(1 - 0.0225)^y

This clearly is an exponential decrease.

Answer:

how much wood do you need

Answer:

0.7

Step-by-step explanation:

Answer:

this is for scamming me

Step-by-step explanation:

Answer:

n^2 + 12 = 61

-12             -12

  n^2 = 49

Step-by-step explanation:

7 is your answer

7 x 7 = 49 + 12 = 61

Answer:

50%

hope this answer helps you!

Answer:

Step-by-step explanation:

Answer:

(1,9)

Step-by-step explanation:

Answer:

(1,9)

Step-by-step explanation:

Answer:

Scalene

Step-by-step explanation:

It is not right, equilateral, or isosceles.

Answer:

615.44

Step-by-step explanation:

The area of the circle is 196π m².

A circle is a bounded figure which points from its center to its circumference is equidistant.

Area of a circle = πr²

Where :

π14² = 196π m²

To learn more about the area of a circle, please check: https://brainly.com/question/14351152

Answer:

the stated ratio means that of the 180 degrees involving two supplementary angles, the smaller angle is one sixth of that whole. Thus the smaller angle measures 30 degrees & the larger measures 150 degrees.

Step-by-step explanation:

Answer:

i think its the second and third

Step-by-step explanation:

im not completely sure though so please dont get mad if its wrong

Answer:

Quadrilateral MATH is a rectangle

Step-by-step explanation:

Prove quadrilateral MATH, M (-4,-1) A(-3,2). T(3, 0), H(2, -3) is a rectangle

A rectangle is a quadrilateral whose opposite sides have the same lengths and are parallel.

We solve the above question using the formula below to find the length of its sides

= √(x2 - x1)² + (y2 - y1)² when we are given vertices(x1, y1) and (x2, y2)

For side MA

M (-4,-1) A(-3,2)

√(-3 - (-4))² + (2 - (-1))²

= √1² + 3²

= √1 + 9

= √10 units

For side AT

A(-3,2). T(3, 0)

√(3 - (-3))² + (0 - 2)²

= √6² + -2²

= √36 + 4

= √ 40 units

For side TH

T(3, 0), H(2, -3)

√(2 - 3)² + (-3 - 0)²

√-1² + -3²

= √1 + 9

= √10 units

For side MH

M (-4,-1) H(2, -3)

√(2 - (-4))² + (-3 - (-1))²

= √6² + 2²

= √36 + 4

= √40 units

From the above calculation, we can see that

Side MA = Side TH = √10 units

Side AT = Side MH = √40 units

Opposite sides are parallel to each other, hence quadrilateral MATH is a rectangle

Answer:

(10, 5)

Step-by-step explanation:

Starting coordinate : (9, 5)

x = 9 ; y = 5

Vertical distance (up and down) = y

Horizontal distance (left and right) = x

Movement to the right = positive

Movement to the left = negative

Hence, 1 unit moved to the right ; x + 1

Therefore ;

(9 + 1, 5)

= (10, 5)

Answer:

A

Step-by-step explanation:

volume of a cylinder:

[tex]V=\pi r^2h[/tex]

where r = radius and h = height

We are given the volume (V) and the height (h) and we need to find the radius (r).

To find the radius we are going to want to plug in the given values into the formula for volume of a cylinder and solve for r

so, * plug in given values *

[tex]400= \pi r^28[/tex]

Now we solve for r

step 1 take the square root of each side

[tex]\sqrt{400} =20\\\sqrt{\pi r^28} =\sqrt{\pi } 4*r\\[/tex]

now we have [tex]20=\sqrt{\pi } 4*r[/tex]

step 2 divide each side by sqrt (π) 4

[tex]\frac{20}{\sqrt{\pi } 4} =3.989 \\\\\frac{\sqrt{\pi } 4*r}{\sqrt{\pi } 4}=r\\[/tex]

we're left with r = 3.989

Finally we round to the nearest whole number and get that the answer is A.4

Answer:

day 13

Step-by-step explanation:

the y axis represents the money. ans the x represents the days

so go down to 0 on the y acis and see what number the line matches with 0 on

in this case it matches with 13

Answer:

y = -5x + 65 or f(x) = -5x + 65

Step-by-step explanation:

The graph represents a linear function which means the function can be represented using y = xm + a, where y is the target, x is the domain, m is the slope, and a is the y-intercept.

According to the graph, the y-intercept is $65 which means a = 65

y = xm + 65

Since the x intercept is 13 that means when x = 13, then y = 0, plug those values in and solve for m to get the slope.

0 = 13m + 65

-65 = 13m

-65/13 = m

Which can be simplified to

-5 = m

Therefore the function for the graph is y = -5x + 65

Hello, I Am BrotherEye

Answer: Here is an Example On How To Solve Your Problem.

Step-by-step explanation:

Explanation:

29

,

33

,

36

,

37

,

39

,

40

,

41

The minimum is the lowest number in the data set.

Since it is listed from smallest to largest, we know that the minimum is

29

.

The median is the middle number. Cancel out

3

numbers from each side and we are left with the median:

29

,

33

,

36

,

37

,

39

,

40

,

41

Therefore, the median is

37

.

The first quartile (Q1) is the median of the lower half of data which lies at 25% of the data.

Let's look at the lower half of numbers:

29

,

33

,

36

The number in the middle is

33

, so that is the first quartile.

The third quartile (Q3) is the median of the upper half of data which lies at 75% of the data.

Let's look at the upper half of numbers:

39

,

40

,

41

The number in the middle is

40

, so that is the third quartile.

The maximum is the highest number in the data set; it is

41

.

So here's the five-number summary:

Minimum: 29

First quartile: 33

Median: 37

Third quartile: 40

Maximum: 41

Answer:

C. b = -1, c = -2

Step-by-step explanation:

2 roots: x = -1 and x = 2

(x+1)(x-2) = 0

y = x² - x -2

b= -1 , c = -2

Answer:

The andswer is C    b= -1 c=-2

Step-by-step explanation:

I took the quiz!!

Answer:

B

HOPE THIS HELPS

-Todo <3

Step-by-step explanation:

4 parts broken into 4 parts

Answer:

b

Step-by-step explanation:

since you are dividing by four, the graph must show 1/4 in for divisions.

Answer:

Is - 4

Step-by-step explanation:

29/29  cancel it out

so it will leave -4 out

Answer:

[tex]x = \frac{(a+1)f^3}{2e}[/tex]

Step-by-step explanation:

[tex]\frac{a + 1}{2x} = \frac{e}{f^3}\\~\\\\a+1 = \frac{2ex}{f^3}\\~\\\frac{a + 1}{2e} = \frac{x}{f^3}\\~\\x = \frac{(a+1)f^3}{2e}[/tex]

Answer:

10

Step-by-step explanation:

a^2 + b^2 = c^2

6^2 + 8^2 = c^2

36+64 = square root of 100

square root of 100 is 10

Answer:

$87

Step-by-step explanation:

58×50٪=29

58+29=87

Answer:

area is 60 cm sq units

Step-by-step explanation:

16+12+12+20=

16+24+20

40+20=60