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VladimirAG [237]
1 year ago
10

Luke is planning to lay two decorative pieces of wood across the 12-inch by 24-inch rectangular glass centerpiece of a cabinet.

Each piece will lie on a diagonal of the centerpiece. Select a number from the drop down menu to correctly complete the statement. Each piece of wood should have a length of approximately how many inches.

Mathematics
2 answers:
Snowcat [4.5K]1 year ago
6 0
What you are looking for is the hypotenuse of a right triangle.
If you have a 12 x 24 rectangle, these would be the sides of the triangle and we would use Pythagorean Theorem to find the hypotenuse.
a^2 + b^2 = c^2
12^2 + 24^2 = c^2
144 + 576 = c^2
720 = c^2
take the square root of both sides
c = sqrt(720)
c = 26.8 inches is the approximate answer.
I don't know what your choices are but one should be close to this answer.
saul85 [17]1 year ago
3 0

Answer:

i can confirm that

<em>26.8</em>

is the right answer.

Step-by-step explanation:

i literally just took the test right now.

<em>~</em><u><em>hope i helped ouo have a nice rest of ur day</em></u><em>~</em>

<em>lots of love,</em>

<em>  lee</em>

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Jennifer has a bag of chips that contains 2 red chips and 1 black chips. If she also has a fair die, what is the probability tha
borishaifa [10]
Find each probability separately and then multiply the two together


Probability for even number is 3/6 or 1/2 because their are 3 even numbers out of 6 numbers

Probability to get a black chip is 1 black chip out of 3 totals so 1/3

Multiply 1/3 by 1/2

Answer 1/6
5 0
1 year ago
Read 2 more answers
Let f: double-struck R4 → double-struck R and c(t): double-struck R → double-struck R4. Suppose ∇f(1, 1, π, e6) = (0, 1, 5, −2),
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d ( f o c) / dt = 9

( solution is attached below)

7 0
1 year ago
An architect designs a castle tower for a new attraction at a popular amusement park. Blueprints of the tower, which is in the s
marin [14]

Answer:

<u>The surface area of the tower is 5,218.1 m²</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Height of the blueprint = 47 cm

Length of the blueprint = 23 cm

Width of the blueprint = 25 cm

Scale factor 1 : 96

2. Calculate the actual surface area of the tower and enter your answer in square meters with two decimal places.

Let's calculate the measurements of the actual tower:

Height of the blueprint = 47 * 96 = 4,512 cm = 45.12 m

Length of the blueprint = 23 * 96 = 2,208 cm = 22.08 m

Width of the blueprint = 25 * 96 = 2,400 cm = 24 m

Now, let's calculate the surface area of the tower, this way:

Surface area of the tower = 2* (24 * 22.08) + 2 * (45.12 * 22.08) + 2 * (45.12 * 24)

Surface area of the tower = 1,059.84 + 1,992.5 + 2,165.76

<u>Surface area of the tower = 5,218.1 m²</u>

4 0
2 years ago
Danny Henry made a waffle on his six-inch-diameter circular griddle using batter containing a half a cup of flour. Using the sam
Mekhanik [1.2K]

Answer:

He'll need 288 cups to make a waffle on his 24 foot diameter circular griddle.

Step-by-step explanation:

In order to find out how much batter Danny needs we first need to compute the area of the first pans, since it is a circular pan their area is given by A = 2*pi*r. So we have:

Area of the first pan = 2*pi*(6/2) = 18.84 square inches

Area of the second pan = 2*pi*(24/2) = 75.36 square foots

We now need to convert these values to be in the same unit, we'll convert from square foots to square inches:

Area of the second pan = 75.36 * (12)^2 = 10851.84 square inches

We can now use a proportion knowing that the batter and the thickness of the waffles are the same. If 0.5 cup of flour can make a waffle on 18.84 square inches then x cup of flour can make a waffle on 10851.85 square inches. Writing this in a mathematical form, we have:

0.5/x = 18.84/10851.84

18.84x = 0.5*10851.85

x = 10851.85*0.5/18.84 =288 cups

7 0
2 years ago
Annie is running a trail that is 4 1/2 miles long. She ran the first 2/3 of the distance. Then the trail became very steep, so s
qwelly [4]

Answer:

Annie walked 1 11/12 miles

Step-by-step explanation:

Trail= 4 1/2 miles

Annie ran the first 2/3 miles

Remaining miles= Total miles - Miles covered first

= 4 1/2 - 2/3

= 9/2 - 2/3

= 27-4 / 6

= 23/6 miles

Remaining miles = 23/6 miles

Annie walked for 1/2 of the remaining distance

1/2 of the remaining miles= 1/2 × 23/6

=23 / 12

= 1 11/12

Annie walked 1 11/12 miles

5 0
1 year ago
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