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3 years ago

The diameter of a circle is 12 yards. What is the circle's area? Use 3.14 for .

Mathematics

1 answer:

slamgirl [31]3 years ago

4 0

Answer:

r= d/2 => 12/2 => 6

a= πR²

a= 3.14×{6}²

a= 113.04 square yard (yd²)

a= 94.51 m²

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Convert 17.42 m to customary units. A.57'-17/8" B. 36-10 1/2" C. 442 1/2" D. 367/8" E. None of these answers is reasonable.

mars1129 [50]

Answer:

Option E - None of these answers is reasonable.

Step-by-step explanation:

To find : Convert 17.42 m to customary units ?

Solution :

The customary units is defined as the measure length and distances in the customary system are inches, feet, yards, and miles.

The options belong to feet and inches.

We have to convert meter into inches, feet.

Meter into feet,

$1 \text{ feet} = 0.3048 \text{ meter}$

$1 \text{ meter} = \frac{1}{0.3048}\text{ feet}$

$17.42 \text{ meter} = \frac{17.42}{0.3048}\text{ feet}$

$17.42 \text{ meter} = \frac{174200}{3048}\text{ feet}$

$17.42 \text{ meter} =57 \frac{464}{3048}\text{ feet}$

$17.42 \text{ meter} =57 \frac{58}{381}\text{ feet}$

Now, Feet into inches

$1 \text{ feet} = 12\text{ inches}$

$\frac{58}{381} \text{ feet} = 12\times \frac{58}{381}\text{ inches}$

$\frac{58}{381} \text{ feet} =\frac{232}{381}\text{ inches}$

i.e. $17.42 \text{ meter} =57\text{ feet }\frac{232}{381}\text{ inches}$

or $17.42 \text{ meter} =57'\frac{232}{381}''$

None of these answers is reasonable.

Therefore, Option E is correct.

5 0

3 years ago

Select the graph that represents the solution of the compound inequality -6 s 4x + 6 < 14.

uranmaximum [27]

Answer:

Use Ga_thMath(u) (brainly doesn't allow me to type it) To use the app u need to take a pic of the problem and then it will process it and you'll get ur answer ASAP(most of the time). Many questions have been asked before so search it on brainly.

Step-by-step explanation:

8 0

3 years ago

one container is filled with a mixture that is 30% acid a second container is filled with the mixture that is 50% acid the secon

Romashka [77]

Answer:

42%

Step-by-step explanation:

x is for the volume of the container

the amount filled in the first container=0.30x

the volume of the first container + 50% of the second=(x+x*50%)=1.5 x

the amount of acid in the second container= 1.5x * 50%=0.75x

total amount of acid in the third one =0.3x+0.75x=1.05x

total solution : x+1.5x=2.5x

percentage=1.05x/2.5x= 0.42 or 42%

4 0

4 years ago

Prove whether the quadrilateral is a parallelogram using the Distance & Slope Formulas D(-5, -6), E(5, 2), F(4, -4), G(-6, -

amm1812

Answer:

See the distances bellow

Step-by-step explanation:

Given data

D(-5, -6), E(5, 2)

substitute into the expression for the distance

$d= \sqrt((x_2 - x_1)^2 + (y_2 - y_1)^2)\\\\d= \sqrt((5+5)^2 + (2+6)^2)\\\\d= \sqrt((10)^2 + (8)^2)\\\\d= \sqrt(100 +64)\\\\d= \sqrt((164)\\\\d= 12.80$

E(5, 2), F(4, -4)

$d= \sqrt((x_2 - x_1)^2 + (y_2 - y_1)^2)\\\\d= \sqrt((4-5)^2 + (-4-2)^2)\\\\d= \sqrt((-1)^2 + (-6)^2)\\\\d= \sqrt(1+36)\\\\d= \sqrt((37)\\\\d= 6.08$

F(4, -4), G(-6, -12)

$d= \sqrt((x_2 - x_1)^2 + (y_2 - y_1)^2)\\\\d= \sqrt((-6-4)^2 + (-12+4)^2)\\\\d= \sqrt((-10)^2 + (-8)^2)\\\\d= \sqrt(100+64)\\\\d= \sqrt((164)\\\\d= 12.80$

G(-6, -12), D(-5, -6)

$d= \sqrt((x_2 - x_1)^2 + (y_2 - y_1)^2)\\\\d= \sqrt((-6+5)^2 + (-12+6)^2)\\\\d= \sqrt((-1)^2 + (-6)^2)\\\\d= \sqrt(1+36)\\\\d= \sqrt((37)\\\\d= 6.08$

8 0

3 years ago

Can you please help me graph the function using intercepts

dexar [7]

See explanation below

Explanation:

The equation: 4x + 3y = -12

To plot the graph using the intercept, we need to find the y and x intercept

To get the y intercept, we replace x with 0

4(0) + 3y = -12

0 + 3y = -12

3y = -12

divide both sides by 3:

3y/3 = -12/3

y = -4

To get the x intercept, we will replace y with 0

4x + 3(0) = -12

4x + 0 = -12

4x = -12

divide both sides by 4:

4x/4 = -12/4

x = -3

Plotting the x and y intercept on the graph:

5 0

1 year ago

The diameter of a circle is 12 yards. What is the circle's area? Use 3.14 for ​.

The diameter of a circle is 12 yards. What is the circle's area? Use 3.14 for .