What is the volume of the prism?
5.6 cm
cm
9 cm
7.8 cm

Answer:

Yes the amount Greta has budgeted ($1,500) is enough to complete the project which will cost $1,443.75

Step-by-step explanation:

The amount Greta has budgeted to have a concrete patio = $1,500

The cost (per square foot) of the concrete, C/Ft² = $5.50/ft²

From the dimension of the backyard, we have;

The total area, A = The area of a rectangle + The area of a trapezium

The area of the rectangle = 6 ft. × 28 ft. = 168 ft.²

The area of the trapezium = (8 ft. + (28 ft. - 15 ft.))/2 × (15 ft. - 6 ft.) = ((8 ft. + 13 ft.)/2) × 9 ft. = 94.5 ft.²

The total area, A = 168 ft.² + 94.5 ft.² = 262.5 ft.²

The total cost of the concrete, C = A × C/Ft²

∴ C = 262.5 ft.² × $5.50/ft² = $1,443.75

Therefore, given that Greta budgeted $1,500 for the project which is more than the $1,443.75 required, Greta has budgeted enough money to complete the project

Answer:

the correct answer is 6....

Answer:

3,3,4,6,6

4,4,5,6,7

5,5,6,6,8

Step-by-step explanation:

mode = n

median= n+1

mean = n+2

Range = n+3

let sets:

a,b,c,d,e

mode = n, at least two of them are the same and equal to n

n,n,c,d,e

median belong to the set, in ascending order:

n,n,n+1,d,e

which means d,e ≥ n+1, d≠e

mean is n+2

5(n+2)=n+n+n+1+d+e

2n+9=d+e

Assume e is the maximum:

Range is n+3:

e-n=n+3

e=2n+3

d=6≥n+1

n≤5,

Set is n,n,n+1,6,n+3

n+1≤6≤n+3

3≤n≤5

3,3,4,6,6 bimodal

4,4,5,6,7

5,5,6,6,8 bimodal

Answer:

5, 2, 1, 2, 3

Step-by-step explanation:

I’m pretty sure it’s 30%

Answer:

30% of Joey's socks are colored.

Step-by-step explanation:

7/10 x 10

= 70/100

100-70= 30%

Answer:

40 yards greater

Step-by-step explanation:

Perimeter of a triangle, P = a + b + c

perimeter of a triangular field with sides that measure 92 yards, 95 yards, and 84 yard

P = a + b + c

= (92 + 95 + 84) yards

= 271 yards

perimeter of a triangular field with sides that measure 85 yards, 90 yards, and 56 yards

P = a + b + c

= (85 + 90 + 56) yards

= 231 yards

perimeter of a triangular field with sides that measure 92 yards, 95 yards, and 84 yard is 40 YARDS GREATER than perimeter of a triangular field with sides that measure 85 yards, 90 yards, and 56 yards

Answer:

answer goes this way :

0

5

8

9

8

5

0

Answer:

0,5,8,9,8,5,0

Step-by-step explanation:

sub the values

Answer:

0.8

Step-by-step explanation:

0.8x250=200, which is the closest tenth of a decimal.

Answer:

A. 0.8m

Step-by-step explanation:

1m/250m

1m/250m = x(m/212m

x=212/250

x=0.848

0.848m=0.8m

Answer:

Step-by-step explanation:

Answer:

B)  y = -3x+2

Step-by-step explanation:

plug (2,-4) and -3 into y = mx + b to find 'b'

-4 = -3(2) + b

b = -4+6 = 2

Answer:

$11.50

Step-by-step explanation:

Percentage Increase=(Final Value−Starting Value/Starting Value)×100

so its x-7.50/7.50 = 50%

rearranging this it the original price will equal $11.25

Hope this helps!

I believe that 95 isn't one of the measures

Answer:

Yes, she is correct.

Step-by-step explanation:

In the question it is given that Avannah wants to buy food for her dog that may lasts for 2 weeks (or 14 days). Dogs must serve food according to their breed and their weight. The diet of every dog is different. Avannah needs to feed her dog three times a day. So a 20 lb bag of food is enough for her to feed her dog for 2 weeks.

So it is the correct decision to get a 20 lb bag of food for her dog. It will last for 14 days.

Given:

Line segment XY is located at X(2, 6) and Y(4,8).

The line segments is dilated by a scale factor of 2 with a center of dilation of T(-3, 4).

To find:

The coordinates of X'

Solution:

If a figure dilated by a scale factor k with a center of dilation (a,b), then the rule of dilation is:

[tex](x,y)\to (k(x-a)+a,k(y-b)+b)[/tex]

The line segments is dilated by a scale factor of 2 with a center of dilation of T(-3, 4). So, the rule of dilation is

[tex](x,y)\to (2(x-(-3))+(-3),2(y-4)+4)[/tex]

[tex](x,y)\to (2(x+3)-3,2y+2(-4)+4)[/tex]

[tex](x,y)\to (2x+6-3,2y-8+4)[/tex]

[tex](x,y)\to (2x+3,2y-4)[/tex]

The coordinate of X are (2,6).

[tex]X(2,6)\to X'(2(2)+3,2(6)-4)[/tex]

[tex]X(2,6)\to X'(4+3,12-4)[/tex]

[tex]X(2,6)\to X'(7,8)[/tex]

Therefore, the coordinates of X' are (7,8).

Answer:

(3, -1)

Step-by-step explanation:

12×1/4=3

-4×1/4=-1

The coordinates of C' after dilation with a scale factor of 1/4 are (7, -3).

To find the coordinates of C' after dilation, we need to apply the scale factor to the original coordinates of C (12, -4). Since the triangle is dilated with respect to the origin, we can calculate the new coordinates by simply multiplying the original coordinates by the scale factor, which is 1/4.

C' coordinates: (12 * 1/4, -4 * 1/4) = (3, -1)

However, since the triangle is not dilated with respect to the origin, we need to adjust the coordinates according to the translation of the dilation center. In this case, the dilation center is at vertex A (4, -2).

Translation vector: (4 - 0, -2 - 0) = (4, -2)

Final coordinates of C': (3 + 4, -1 - 2) = (7, -3)

So, the coordinates of C' after the dilation are (7, -3).

know more about vertices of a triangle, here:

https://brainly.com/question/1674684

#SPJ11

Answer: 48

Step-by-step explanation:

Answer:

$21.81

Step-by-step explanation:

add the reduced number to the new number

Answer:

21.81

Step-by-step explanation:

add 1.05 to 20.76

Answer:

by frying it duh

Step-by-step explanation:

Answer:

they are born from taking fermented eggs and heating them up in a incubater

i would know i actualy have chickens oh and it has to be a chicken egg Step-by-step explanation:

Answer:

72

Step-by-step explanation:

1/8 and 7/18 common denominator

Answer:

Population of wolves in 2016 = 23

Step-by-step explanation:

Equation of the line of best fit has been given as,

y = 1.5x - 1

Here, y = population of a pack of wolves

x = duration (in years) since year 2000

Duration between year 2000 and 2016 = 16 years

Now we substitute the value x = 16 in the equation of line of best fit,

y = 1.5(16) - 1

y = 24 - 1

y = 23

Therefore, population of wolves in 2016 = 23

Answer:

-2.2

Step-by-step explanation:

Answer:

-19.04 + 38.08 = 19.04

Answer:

Step-by-step explanation: sleep

The triangle with sides 9 , 12 and 14 is an acute triangle

What is a Triangle?

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

Given data ,

Let the Triangle be ΔABC

Let the three sides of the Triangle be

First side = AB

Second side = BC

Third side = CA

Now , the three sides are having lengths as

AB = 9

BC = 12

CA = 14

Now , from the Pythagoras Theorem ,

If ,  base² + height² = hypotenuse² , it is a right angled triangle

If , base² + height² > hypotenuse² , it is a acute angled triangle

If , base² + height² < hypotenuse² , it is a obtuse angled triangle

So , substituting the values , we get

AB² + BC² > AC²

So ,

9² + 12² > 14²

81 + 144 > 196

225 > 196

Therefore , the triangle ABC is an acute angled triangle

Hence , The triangle with sides 9 , 12 and 14 is an acute triangle

To learn more about triangles click :

https://brainly.com/question/16739377

#SPJ2

Step-by-step explanation:

Simply multiply: 8.60 × 9

Answer:

£ 77.40

Step-by-step explanation:

Money earned per hour = £ 8.60

Money earned in 9 hours = 8.60 * 9

                                          = £ 77.40

Answer:

B

Step-by-step explanation:

84=7d

Divide by 7

12=d