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ahrayia [7]
3 years ago
7

Which formula shows how to calculate how many inches (I) are in x yards (y)?

Mathematics
1 answer:
Angelina_Jolie [31]3 years ago
4 0
1 yard = 36 inches

So, 
39 inches times the number of yards
39inches times (x)yards

39(x)
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In circle D, angle ADC measures (7x + 2)°. Arc AC
Akimi4 [234]

Answer:

The measure of angle ABC is 36° ⇒ 1st answer

Step-by-step explanation:

Let us revise some important facts in the circle

The measure of the center angle is equal to the measure of its subtended arc

The measure of the inscribed angle is equal to half the measure of the central angle subtended by the same arc

The vertex of a central angle is the center of the circle and its sides are radii in the circle

The vertex of an inscribed angle is a point on the circle, and its sides are chords in the circle

In circle D

∵ D is the center of the circle

∵ A and C lie on the circle

- DA and DC are radii

∴ ∠ADC is a central angle subtended by arc AC

∴ m∠ADC = m of arc AC

∵ m∠ADC = (7x + 2)°

∵ m of arc AC = (8x - 8)°

- Equate them to find x

∴ 8x - 8 = 7x + 2

- subtract 7x from both sides

∴ x - 8 = 2

- Add 8 to both sides

∴ x = 10

Substitute the value of x in the measure of ∠ADC

∵ m∠ADC = 7(10) + 2 = 70 + 2

∴ m∠ADC = 72°

∵ AB and BC are two chords in circle D

∴ ∠ABC is an inscribed angle subtended by arc AC

∵ ∠ADC is a central angle subtended by arc AC

- By using the 2nd fact above

∴ m∠ABC =  m∠ADC

∴ m∠ABC =  × 72

∴ m∠ABC = 36°

7 0
2 years ago
5. (3x2 – 13x – 10) ÷ (x – 5)
IgorC [24]

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( 3 {x}^{2}  - 13x - 10 ) \div (x - 5) =  \\

\frac{3 {x}^{2} - 13x - 10 }{x - 5}  =  \\

\frac{(x - 5)(3x + 2)}{(x - 5)}  =  \\

3x + 2

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3 0
2 years ago
Utilizando a calculadora determine o valor aproximado de raiz quadrada de
Zielflug [23.3K]

Answer:

i think D or F

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
A cylinder has a volume of 83 in3 and is 10 in. tall. What is the radius of the cylinder in inches? Round your answer to the nea
Nataly [62]
To find the radius of the cylinder you will use the volume formula and solve for the radius.

V = pi x r^2 x h
83 = 3.14 x r^2 x 10
83 = 31.4 x r^2; divide both sides by 31.4
r^2 = 2.6; find the square root of 2.6
r = 1.6 in.

The radius is approximately 1.6 in.
3 0
2 years ago
-3y -9x =21. -18x +4y =32
Reil [10]

The value of x  is -2 and the value of y is -1.

Step-by-step explanation:

Step 1; The given equations are taken as

-3y -9x =21 or -9x -3y = 21, take this as equation 1

-18x +4y =32, take this as equation 2

Step 2; We multiply equation 1 with 2 and equation 2 with 1 so we can cancel out the variable x in both equations. By doing this we get

-18x -6y =42, take this as equation 3

-18x +4y =32, this is the same as equation 2

If we subtract 3 with 2, we cancel out the x variable and can calculate the value of y.

10y = -10 , y = -10/10 = -1

Step 3; Substituting this value of y in any of the previous equations we will get x's value. Here this value of y is substituted in equation 2.

-18x +4(-1) =32, -18x -4 = 32 , -18x = 36, x=-2.

So we have x = -2 and y = -1.

5 0
3 years ago
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