Heather has a thin piece of wood that measures 14 inches long by 13 inches wide. She wants to make a box with a height of 3 inches. Heather says that she has enough wood to make a box that has bases measuring 6.5 inches by 6.5 inches. Do you agree?

Answers

Answer 1

Answer:

Yes, I agree. Since the area of the piece of wood is greater than the area of the box she wants to make, then she has enough wood to make the box.

Step-by-step explanation:

First, we will calculate the area of the piece of wood Heather has

Area (A) = Length (l) × Width (w)

From the question, l = 14 inches and w = 13 inches

A = 14 inches × 13 inches

A = 182 squares inches

Hence, the area of the piece of wood is 182 square inches

Now, we will calculate the total surface area of the box she desires to make

Area (A) of a box is given by

A = 2lw + 2lh + 2wh

Where l is the length

w is the width and

h is the height

She wants to make a box with a height of 3 inches and bases measuring 6.5 inches by 6.5 inches.

i.e h = 3 inches, l = 6.5 inches and w = 6.5 inches

∴ A = 2(6.5×6.5) + 2(6.5×3) + 2(6.5×3)

A = 84.5 + 39 + 39

A = 162.5 square inches

Hence, the area of the box she wants to make is 162.5 square inches

Since the area of the piece of wood is greater than the area of the box she wants to make, then she has enough wood to make the box.

Answer 2

Answer:

Yes

Step-by-step explanation:


Related Questions

Help, I am very confused

Answers

9514 1404 393

Answer:

  (a)  2S, 1A

Step-by-step explanation:

A triangle is completely specified when all three sides and all three angles are known. This triangle shows the measure of 1 side, so 2 sides are missing (2S). It shows the measures of angle Q and P, so angle N is missing (1A).

The missing information is 2 sides and 1 angle: 2S, 1A.

The city of Houston received 8 more inches of rain than the town of Groesbeck. Which algebraic expression represents the amount of rain in Houston?

Answers

Answer:

8-i=g

Step-by-step explanation:

g= amount of rain Groesbeck gout

i = inches of rain

Answer:

saw this question on egde its b

Madeline has 2 times the number of games as Paulo. Paulo has 4 more games than Tyler. If Tyler has 9 games, how many games are there among the 3 friends?

Answers

There is a total of 48 games among the three friends.

HELPPPP! PLZ HURRY AND SHOW UR WORK!!

TRAP ~ EZYD. Use the diagram on the right to find the scale factor of TRAP to EZYD.


The scale factor of TRAP to EZYD is __.

Answers

Answer:

3/4

Step-by-step explanation:

when you line up the figures you get 9:12 which reduces down to 3/4

PLEASE HELP!!!!!! I NEED THIS ASAP

Answers

Answer:

11.2

Step-by-step explanation:

PYTHAGOREAN THEOREM

14^2 = 8.4^2 + x^2

Your germination rate for lavender seeds is 34%. You planted 1200 seeds, how many sprouted?

Answers

408 seeds
1200 times 0.34 is equal to 408

3x+4y=25 x+5y=23
What does the variable of x and y represent in the system of equations

Answers

x= 1/27

Heart if it helps!

Point form : (3,4)
Equation form : x = 3 , y = 4

PLEESE HELP I need help naw

1+1
I'm on my sisters fone I'm in kindrgarden.​

Answers

Answer

2

Step-by-step explanation:

1+1 equals 2.

have a great day!

da anwer iws eweven(11) uwu

What is the value of the expression 3 x 5 + 32 ?
I just need to know if I put the answer or the expression

Answers

Answer:

3x³+32

Heart if it helped

Answer:

u just simplify the expression

the answer is 50

Step-by-step explanation:

Find the area of the shape shown below.
4
2
2
1
units

Answers

Answer:

7

Step-by-step explanation:

it's a rectangle of area 2*4=8 minus a triangle of area 1*2/2=1 so 8 - 1 = 7

7 units, hope this helps

HELP! I'LL MARK YOU BRAINLIST

Answers

Step-by-step explanation:

are in the solution:

(3,1)

(-1,2)

(6,0)

(0,0)

are not

(-2,-1)

(0,-4)

I need help with these question! Please explain step by step-

Answers

Answer:

3 bags of chocolate chips and 3 bags of walnuts

Step-by-step explanation:

1 pound = 16 ounces (oz). So, our dear Jemina needs 48 ounces. Then, we do system of equations. one of the equations are 3x +2y = 15(dollars), and then second is 12x + 4y = 48. (ounces/pound). Let's solve for x first. We multiply the dollars equation by 2 to eliminate y from both equations. 6x +4y = 30. When you subtract, you get 6x = 18. So, x = 3, Jemina buys 3 chocolate chips bags. So, thats $9. So, she also spends $6 on walnuts. For checking, 3 bags of chocolate chips  = 36 ounces. 3 bags of walnuts = 12 ounces. 36+12 ounces  = 48 ounces. :D

if f (x) = 8 (5x - 2) find f (x)​

Answers

Answer:

f-1(x) = (x - 16)/40

B

Step-by-step explanation:

Call f(x) = y

Interchange x and y

x = (5y + 2)*8             Remove the brackets

x = 40y + 16               Subtract 16 from both sides

x - 16 = 40y                Interchange the left and right sides

40y = x - 16                Divide by 40

y = (x - 16)/40

f-1(x) = (x - 16)/40

Carson can choose one vehicle (car or truck), one color (blue, red, or silver), and one type of transmission (standard or automatic). How many possible outcomes are there?

Answers

Answer:

12 possible outcomes

Step-by-step explanation:

Choosing 1 vehicle from 2 = 2C1 = 2

Choosing 1 color from 3 = 3C1 = 3

Choosing 1 type from 2 = 2C1 = 2

Number of possible outcomes :

2C1 * 3C1 * 2C1

2 * 3 * 2

= 12 different possible outcomes

18.3: Sand Wagon
The Radio Flyer wagon is 27 feet long 13 feet wide and 2 feet deep.
1. A 150-pound bag of sand will fill about 9 cubic feet. About how many bags of sand
will it take to fill the wagon with sand?
Step by step please?

Answers

Answer:

702/9 is 78 your answer is 78

Step-by-step explanation:

27*13*2

Right triangle ABC is shown below. Write an equation that can be used to determine the angle measure, in degrees, of angle DBC. Then determine the measure of n

Answers

Answer:

Step-by-step explanation:

Frank had $65. He spent $2 per day for 7 days. Then he was given $9 to divide equally between himself and his 2 brothers. The following expression can be used to find the amount of money Frank had after that.
65 - 2 ⋅ 7 + 9 ÷ 3 .
Based on this expression, what is the amount of money Frank had remaining?

a.$54
b.$150
c.$2
d.$444​

Answers

Answer:

54

A.)

Step-by-step explanation:

65-2x7+9/3

PEMDAS

65-14+9/3

51+3

54

» What is the area of this trapezoid?

Remember to include in. Or in^2

Answers

Answer:

20 Inches

Step-by-step explanation:

Ok here is how you do it so the formula for a trapezoid is base 1 plus base 2 divided by 2 times the height. so, in this case the two bases are 2 in and 6 in so we add those together and get 8 then, we divided 8 by 2 and we get 4.

Then now, we multiply 4 and 5 for our height and get 20 inches.

How to find surface area of rectangular prism?

Answers

Answer:

.

Step-by-step explanation:

........

hello please help thanks

Answers

Answer:

most likely the last choice

Step-by-step explanation:

Answer: during evaporation

Step-by-step explanation: the sun heats up the water which caused it to evaporate

Simplify the following ​

Answers

Answer: sin ^ 3 ( theta)

Para decorar una pared se disponen de tiras de papel azules de 15 cm, verdes de 20 cm, y rojas de 25 cm. En la pared se quiere armar tres líneas del mismo tamaño, una de cada color y sin cortar ninguna tira. a) ¿Cuánto va a medir la menor línea que se puede armar con cada color? b) ¿Cuántas tiras se deben utilizar? c) ¿Cuántas de cada color?

Answers

Answer:

a) Smallest line that can be made with each color = 300 cm

b) Total strips should be used = 47 strips

c) Total strips used of blue color = 20

  Total strips used of green color = 15

  Total strips used of red color = 12

Step-by-step explanation:

Given - To decorate a wall, there are 15 cm blue, 20 cm green, and 25 cm red strips of paper. On the wall you want to build three lines of the same size, one of each color and without cutting any strip.

To find - a) How long is the smallest line that can be made with each color?

              b) How many strips should be used?

              c) How many of each color?

Proof -

a)

For the smallest line that can be made with each color, we just have to find the lcm (least common multiple) of the 3 srtips.

Firstly,

Decompose the 3 strips to its prime factors , we get

15 = 3×5

20 = 2²×5

25 = 5²

So,

The Lcm(15, 20, 25) = 3×2²×5² = 3×4×25 = 300

∴ we get

Smallest line that can be made with each color = 300 cm

b)

Now,

Total strips used = 300 cm

Strips used by 15 cm blue = [tex]\frac{300}{15}[/tex] = 20 strips

Strips used by 20 cm green = [tex]\frac{300}{20}[/tex] = 15 strips

Strips used by 25 cm red = [tex]\frac{300}{25}[/tex] = 12 strips

So,

Total strips should be used = 20 + 15 + 12 = 47 strips

c)

Total strips used of blue color = 20

Total strips used of green color = 15

Total strips used of red color = 12

State if the three numbers can be the measures of the sides of a triangle.
5, 12, 10
Yes or No

Answers

Answer:

yes

Step-by-step explanation:

Please help meeeee! I’m stuck

Answers

Answer:

x = 12

Step-by-step explanation:

(8x - 1) + (3x + 4) + (3x + 9) = 180 degrees

14x + 12

180 - 12 = 168

14x = 168

/14  |   /14

x = 12

Top left angle: (8x - 1)

8*12 - 1

96 - 1

= 95

Sorry! gtg I hope this helps!

find the missing side. round to the nearest tenth.

Answers

Answer:

A. 5.2

Step-by-step explanation:

I was taught how to do this using the SOH CAH TOA method.

Step 1: Circle your given angle.

Step 2: Label O, H, and A. The line across from your circled angle will be labeled O. The side across from the right angle is H. The last unmarked side is A.

Step 3: Cross off the useless side, in this case, that would be A because there is no corresponding information.

Step 4: Identify if it is sine, cosine, or tangent using SOH CAH TOA. In this case, you only have an O and H so we will use SOH.

Step 5: Set up the equation. The equation is [tex]\frac{sine(31)}{1} =\frac{x}{10}[/tex]. We will use sine of the given angle is equal to the side marked O over the side marked H.

Step 6: Solve for x until x is by itself, then enter into your calculator.

You will enter [tex]sine(31) * 10[/tex] into your calculator and round if necessary.

The measures of three of the interior angles of a quadrilateral are 60o, 110o, and 90o What is the measure of the fourth angle of this quadrilateral?

Answers

Answer:

100 degrees

Step-by-step explanation:

sum of angles in a quadrilateral = 360

missing angle = 360 - (60 + 110 + 90) = 100

the width of a rectangle is 8 feet and the diagnal length of the rectangle is 13 feet which measurement is closest to the length of this rectangle in feet

Answers

Answer:

Well the whole answer is 10.246950 smth smth but I don’t have the multiple choices so your gonna have to round yourself

Step-by-step explanation:

Okay so you have a weigh of 8 and a diagonal of 13.

If you look, theres a triangle there. One side has 8 and the diagonal that was cut forms a 13. So we have a leg and a hypotnuse. To find the other leg (length) just follow the Pythagorean theroum and solve for b or a.

Pythagorean theroum: a^2+b^2=c^2

Now subsitute c for 13 since its the hypotnuse and a or b as 8 but only one.

In this case I’m substituting a for 8.

8^2+b^2=13^2

Solve the squares

64+b^2= 169

Isolate the b

b^2=105

Now square root 105

√105 will give the answer above on a normal calculator but if you have to round, I don’t know what place but you can round.

mo played 30 games of chess he won 18 of these games what fraction of the games did he win give your answer in its simplest form

Answers

Answer:

18/30

Step-by-step explanation:

Calculate the product below and give your answer in scientific notation.
(1.3 x 10-^2) (0.05) = ?

Answers

Answer:

1 Simplify 1.3\times 101.3×10 to 1313.

(13-2)\times 0.05

(13−2)×0.05

2 Simplify 13-213−2 to 1111.

11\times 0.05

11×0.05

3 Simplify.

0.55

0.55

The product of  (1.3 x 10⁻²) and (0.05)  is 0.065x 10⁻²

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

We need to find the product of (1.3 x 10⁻²) and (0.05)

Multiplication is a method of finding the product of two or more numbers

First multiply as if there is no decimal.

Next, count the number of digits after the decimal in each factor.

Finally, put the same number of digits behind the decimal in the product.

1.3×0.05=0.065

So 0.065x 10⁻² is the value of product (1.3 x 10⁻²) and (0.05)

Hence, the product of  (1.3 x 10⁻²) and (0.05)  is 0.065x 10⁻²

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ2

Solve the right triangle shown in the figure, given the following measures. Remember, exact lengths can be approximated on a calculator. For example, StartRoot 2 EndRoot almost-equals 1.414. Angle A = 45 degrees, side A B = 12 StartRoot 2 EndRoot centimeters, Angle C = 90 degrees a. Side B C = 6 StartRoot 3 EndRoot centimeters, angle B = 45 degrees, Side A C = 6 StartRoot 3 EndRoot centimeters b. Side B C = 6 StartRoot 2 EndRoot centimeters, angle B = 45 degrees, Side A C = 6 StartRoot 2 EndRoot centimeters c. Side B C = 24 centimeters, angle B = 45 degrees, Side A C = 24 centimeters

Answers

Answer:

D. BC = 12cm, <B = 45, AC = 12cm

Step-by-step explanation:

Edge 2021

The measures of the lengths and angles are: BC = 12cm, <B = 45, AC = 12cm

What are right triangles?

A right triangle is a triangle that has one of its angle measure to be 90 degrees.

From the question, we have:

Angle B = 45 degrees

Since angle B is 45 degrees, then the legs of the triangle are equal (i.e. 12 cm)

Hence, the measures of the lengths and angles are: BC = 12cm, <B = 45, AC = 12cm

Read more about right triangles at:

brainly.com/question/2437195

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