MSL7

Dificuit Dimensions

A tool box has the dimensions of 8 in by 7 in by 4 in. If Jacob plans to double all three

dimensions to build a larger tool box, he believes he would double the volume of the tool box,

Is he correct?

Answer:

hi!

Step-by-step explanation:

Answer: Figure B is 2x bigger on all sides

Explanation: You can see that each of the numbers times 2 would equal all of the numbers on B.

2  =

3  =

6 : 9  =

Step-by-step explanation:

Here are some solutions! Hope this helps.

-Lei

Answer:

678.672cm^2

Step-by-step explanation:

Given data

A cone is described by the length and radius

l=19cm

r=8cm

The formula for the surface area of the cone is

T.S.A=πrl+πr^2

Substitute

T.S.A=3.142*8*19+3.142*8^2

T.S.A=477.584+201.088

T.S.A=678.672

Hence the surface area is

678.672cm^2

Answer:

There is a 1/3 (or 0.33%) probability of rolling a number greater than or equal to 5.

Step-by-step explanation:

First, find what numbers are greater than or equal to 5:

5 and 6

Find what options you can get on a number cube:

1, 2, 3, 4, 5, and 6

Out of the 6 possible outcomes, there are only 2 that will get a number greater than or equal to 5. Write this as a fraction:

2/6

Simplify:

1/3

Answer:

[tex]\sqrt{968}[/tex]

Step-by-step explanation:

Since this is a right triangle, we are able to use pythagorean theorem, a^2+b^2=c^2. In this case x would be the "c", so 22^2+22^2=x^2. Isolate the variable and solve for x. 484+484=x^2

968=x^2

[tex]\sqrt{968\\}[/tex]=x

Answer:161.56

Step-by-step explanation:

8 x5=40

8 x 7.07=56.56

1/2 x 5 x 5 x 2= 25

8 x 5=40

Add that all together

Answer:

The inequality that can be used to determine the number of guitar lessons Gale could take using her birthday money is:

[tex]25x + 50 \leqslant 200[/tex]

The solution to the inequality is:

[tex]x \leqslant 6[/tex]

She can take at most, 6 guitar lessons

Step-by-step explanation:

Total amount Gale received is $200

For rental equipment, she paid $50

Each guitar lesson will cost $25

Let x represent the number of lessons she could take, then the total amount she will spend must bot exceed $200

The guitar lesson will cost a total of 25x

So, her total spending will be:

[tex]25x + 50[/tex]

This must be at most $200

[tex]25x + 50 \leqslant 20[/tex]

Solving the above inequality:

[tex]25x \leqslant 200 - 50 = 150[/tex]

[tex]x \leqslant \frac{150}{25} = 6[/tex]

Answer: See explanation

Step-by-step explanation:

Total number of children = 369

Percentage of children on museum trip = 20%

Number of children on museum trip = 20/100 × 369

= 1/5 × 369

= 73.8 = 74 approximately

Number of children in school = 369 - 73.8 = 295.2 = 295 approximately

Step-by-step explanation:

[tex]16 {x}^{2} - 25 = 0 \\ 16 {x}^{2} = 0 + 25 \\ 16 {x}^{2} = 25 \\ {x}^{2} = \frac{25}{16} \\ x = \sqrt{ \frac{25}{16} } \\ = 1.25 \: or \frac{5}{4} \: or1 \frac{1}{4} [/tex]

Do note that this question might have two answers as Square roots will actually give you a positive and negative solution. Clarify with your teacher about this.

Answer:

x=0.09765625 or rounded up as 0.1

Step-by-step explanation:

first you have to add 25 to the 0 and subtract it from the sid it is on. making it look like this

16x²=25

256x=25

now divide both sides by 256 and you get

x=0.09765625 or rounded up as 0.1

Answer: 7,833

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

each dozen cost $8 so do the $8 times the 23 dozen she sold to get the answer

Answer:

C)$184

Step-by-step explanation:

8 times 23=$184

plz can i get brainliest:)

Answer:

A) Experimental probability = 0.12

B) Theoretical probability = 1/6

Step-by-step explanation:

A) Experimental probability is based on the total number of times an event occurs with respect to the total outcome of the experiment in question.

Now, we are told that the die was rolled 100 times and that 6 was gotten 12 times for the 100 rolls.

Thus;

Experimental probability = 12/100

Experimental probability = 0.12

B) Theoretical probability is the number of ways that an event can occur in relation to the total outcomes.

Here, the number of ways 6 can occur is 1 and the total outcome is 6 possible due numbers.

Thus,

Theoretical probability = 1/6

Answer:

4 hours/30 min=12

-2*12=-24

6-24=-18

-18°C

Step-by-step explanation:

Answer:

43

Step-by-step explanation:

43 is the most the lowest number while the others are around the same range

Hope this helps! Pls mark brainliest!

Answer:

i got u fam!!!!!!!!!!!!!!!

its 15625

Step-by-step explanation:

Answer:

1. −51,−41,−38,13,41,50

2. $140 each pair of shoes costs $20 (80 divided by 4). 20 times 7 is 140

3. 5x +6y+1

4. 5+15(n) or using instead of using n for hours use h so, 5+15(h)

5. cylinder

Answer/Step-by-step explanation:

-51, -41, -38, 13, 41, 50

140

5x + 6y + 1

5 + 15h

Cube.

Answer:

x=6

Step-by-step explanation:

[tex]\frac{9}{3} =\frac{6}{2}[/tex]      

Answer: it's  1 1/2

please give me brainlest

Answer:add 11 on both sides sorry

Answer: subtract 11 from both sides

Step-by-step explanation: this was an assigned assignment for me two days ago

Answer:

see explanation

Step-by-step explanation:

Since the marked angles are congruent, let them be x

(6)

The sum of the interior angles of a quadrilateral = 360°

Sum the angles and equate to 360

x + x + 120 + 90 = 360

2x + 210 = 360 ( subtract 210 from both sides )

2x = 150 ( divide both sides by 2 )

x = 75

Then ∠ X = ∠ Y = 75°

---------------------------------------------------------------------

(7)

The sum of the interior angles of a hexagon = 720°

Sum the angles and equate to 720

x + x + 108 + 103 + 149 + 90 = 720

2x + 450 = 720 ( subtract 450 from both sides )

2x = 270 ( divide both sides by 2 )

x = 135

Then ∠ X = ∠ Y = 135°

Answer:

Step-by-step explanation:

Sum of the interior angles of a regular polygon:

Quadrilateral has sum of angles:

Sum the given angles and consider x = y as marked congruent:

Hexagon has sum of angles:

Sum the given angles and consider x = y as marked congruent:

Answer:

472

Step-by-step explanation:

break it up into two rectangles

1) 12x18=216 in

2) 8x32=256

Hope this helped

Answer:

472 in²

Step-by-step explanation:

The figure is composed of 2 rectangles , then

area = area of lower rectangle + area of upper rectangle, that is

area = (8 × 32) + (12 × 18) = 256 + 216 = 472 in²

Step-by-step explanation:

f(3)= -2*3^2 +3 -5

= -2*9 +3 -5

= 16

Answer:

[tex](a)\ Area = 3765.32[/tex]

[tex](b)\ Area = 4773[/tex]

Step-by-step explanation:

Given

[tex]A_1 = 169in^2[/tex] --- area of each square

[tex]Shade = 4in[/tex]

See attachment for window

Solving (a): Area of the window

First, we calculate the dimension of each square

Let the length be L;

So:

[tex]L^2 = A_1[/tex]

[tex]L^2 = 169[/tex]

[tex]L = \sqrt{169[/tex]

[tex]L=13[/tex]

The length of two squares make up the radius of the semicircle.

So:

[tex]r = 2 * L[/tex]

[tex]r = 2*13[/tex]

[tex]r = 26[/tex]

The window is made up of a larger square and a semi-circle

Next, calculate the area of the larger square.

16 small squares made up the larger square.

So, the area is:

[tex]A_2 = 16 * 169[/tex]

[tex]A_2 = 2704[/tex]

The area of the semicircle is:

[tex]A_3 = \frac{\pi r^2}{2}[/tex]

[tex]A_3 = \frac{3.14 * 26^2}{2}[/tex]

[tex]A_3 = 1061.32[/tex]

So, the area of the window is:

[tex]Area = A_2 + A_3[/tex]

[tex]Area = 2704 + 1061.32[/tex]

[tex]Area = 3765.32[/tex]

Solving (b): Area of the shade

The shade extends 4 inches beyond the window.

This means that;

The bottom length is now; Initial length + 8

And the height is: Initial height + 4

In (a), the length of each square is calculated as: 13in

4 squares make up the length and the height.

So, the new dimension is:

[tex]Length = 4 * 13 + 8[/tex]

[tex]Length = 60[/tex]

[tex]Height = 4*13 + 4[/tex]

[tex]Height = 56[/tex]

The area is:

[tex]A_1 = 60 * 56 = 3360[/tex]

The radius of the semicircle becomes initial radius + 4

[tex]r = 26 + 4 = 30[/tex]

The area is:

[tex]A_2 = \frac{3.14 * 30^2}{2} = 1413[/tex]

The area of the shade is:

[tex]Area = A_1 + A_2[/tex]

[tex]Area = 3360 + 1413[/tex]

[tex]Area = 4773[/tex]

Answer:

It will take her 15 weeks to have enough money for the computer.

Step-by-step explanation:

$1200 - $300 = $900

900 divided by 60 gives you 15

Therefor, it'll take Shirley 15 weeks to save $1200.

Answer:

theres no answer

Step-by-step explanation:

Answer:

A

Step-by-step explanation: