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Bogdan [553]
3 years ago
8

Three yards of fabric will be cut into pieces so that each piece is 8 inches long . How many pieces can be cut

Mathematics
2 answers:
Viefleur [7K]3 years ago
7 0

there can be four pieces
sergey [27]3 years ago
3 0
<h2>Answer</h2>

13 pieces

<h2>Explanation </h2>

First,  we are going to convert 3 yard to inches, and then divide the result by length of each piece (8 inches)

To convert 3 yards to inches, we are going to take advantage of the fact that 1 yard = 36 inches, so:

3yd*\frac{36in}{1yd} =3*36in=108in

Now we just need to divide 108 inches by the length of each piece (8 inches) to get the number of pieces:

\frac{108in}{8in}=13.5

Since we need whole pieces, we can get rid of the decimal part to get 13 pieces.

We can conclude that we can cut 13 pieces of 8 inches from three yards of fabric.

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Answer:

SA = 2400 cm²

Step-by-step explanation:

SA of a cube = S² x 6 (the number of its faces)

SA = 20² x 6

SA = 400 x 6

SA = 2400 cm²

8 0
2 years ago
Y=2x-5 -3x - 4y=-2
Whitepunk [10]

Answer:

y=-x/5 =3/5. that is how it is.

8 0
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A spherical balloon is inflated with a gas at the rate of 500 cm3/min. How fast is the radius of the balloon increasing at the i
Burka [1]

The volume of the sphere is expressed in the formula V = 4/3 pi r^3. The rate of change of volume is determined by differentiating the formula: dV/dt = 4pi r^2 dr/dt. When we substitute 500 cm3/min as dV/dt and 30 cm as r. Then dr/dt is equal to 0.0442 cm/min
7 0
3 years ago
Seth is using the figure shown below to prove Pythagorean Theorem using triangle similarity. In the given triangle ABC, angle A
lana66690 [7]

The relationship between the lengths of the sides of a right triangle are

given by Pythagoras theorem.

  • Part A: <u>ΔABC is similar to ΔADC</u>
  • Part B: ΔABC and ΔADC are similar according <u>AA similarity postulate</u>
  • Part C: <u>DA = 6</u>

Reasons:

Part A:

∠A = 90°

Segment AD ⊥ Segment BC

Location of point D = Side BC

Part A: In triangle ΔABC, we have;

∠A = 90°, ∠B = 90° - ∠C

In triangle ΔADC, we have;

∠ADC = 90°, ∠DAC = 90° - ∠C

∴ <u>ΔABC is similar to ΔADC</u> by Angle-Angle, AA, Similarity Postulate

Part B: The triangles are similar according to <u>AA similarity postulate</u>,

because two angles in one triangle are equal to two angles in the other

triangle and therefore, by subtraction property of equality, the third angle

in both triangles are also equal.

Part C: The length of DB = 9

The length of DC = 4

Required: Length of segment DA

In triangle ΔABD, we have;

∠BDA = 90°= ∠ADC

∠DAC ≅ ∠B by Congruent Parts of Congruent Triangles are Congruent

Therefore;

ΔABD ~ ΔADC by AA similarity, which gives;

\displaystyle \frac{\overline{DA}}{\overline{DC}}  = \frac{\overline{BD}}{\overline{DA}}

\overline{DA}^2 = \overline{DC} \times \overline{BD}

Which gives;

\overline{DA}^2 = 4 × 9 = 36

\overline{DA} = √(36) = 6

\overline{DA}<u> = 6</u>

Learn more here:

brainly.com/question/2269451

3 0
2 years ago
Find the unknown length of the right triangle. If necessary approximate the length to the nearest thousandth
WARRIOR [948]

We are given a right triangle and we are asked to determine the hypotenuse given the measure of its sides. To do that we will use the Pythagorean theorem:

h^2=(10km)^2+(20km)^2

Now, we solve the square:

h^2=100km^2+400km^2

Now, we add the values:

h^2=500km^2

Now, we take the square root to both sides:

h=\sqrt[]{500km^2}

Solving the operations:

h=22.361km

Therefore, the length of the hypotenuse is 22.361 kilometers.

6 0
1 year ago
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