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grigory [225]
3 years ago
12

Mr Reid needs 5 1/2 yards of fabric to make a costume. He already has 2 1/4 yards. How many yards of fabric does he need?

Mathematics
1 answer:
KiRa [710]3 years ago
8 0
He needs 3 1/4 more yards of fabric because 5.5 - 2.25 = 3.25
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What is the arc length of the arc sub tended in a circle with radius 6 and an angle of 7 pi/ 8
KengaRu [80]

Answer:

Formula for the Arc length is given by:

\text{Arc length} = 2 \pi r \cdot \frac{\theta}{360^{\circ}}

As per the statement:

radius of circle(r) = 6 units

Angle (\theta) = \frac{7 \pi}{8} radian

Use conversion:

1 rad = \frac{180}{\pi}

\frac{7 \pi}{8} = \frac{180}{\pi} \cdot \frac{7 \pi}{8} = \frac{1260}{8} = 157.5^{\circ}

then;

substitute these given values we have;

Use value of \pi = 3.14

\text{Arc length} = 2\cdot 3.14 \cdot (6) \cdot \frac{157.5^{\circ}}{360^{\circ}}

or

\text{Arc length} = 2\cdot 3.14 \cdot (6) \cdot 0.4375

Simplify:

\text{Arc length}=16.485

Therefore, the arc length of the arc substended in a circle with radius 6 units an angle of 7 pi/8 is 16.485 units

7 0
3 years ago
To make grape juice, water is added to a large cylindrical vat of grapes. If the diameter of the vat is 16 feet, what is the are
amid [387]

Answer:

200.96cm^2 base area

Step-by-step explanation:

Eq of circle area  = πr^2

= 3.14 x 8^2

  3.14 x 64

  200.96cm^2

 

.

5 0
3 years ago
The domain of the function f(x) = 3x3 is {2, 5}. What is the function’s range?
Sholpan [36]
The domain is {2,5} which the set containing the numbers 2 and 5. I'm assuming that the function is f(x) = 3x3<span>. So...

</span>when x = 2, f(x) = 3*23<span> = 3*8 = 24.
</span>when x = 5, f(x) = 3*53<span> = 3*125 = 375.

so this means the functions range is {24, 375}

hope this helped you out</span>
6 0
3 years ago
Assuming the standard definitions of addition and scalar multiplication, decide whether or not the following sets are vector spa
nadezda [96]

Answer:

See attached pictures.

Step-by-step explanation:

See attached pictures.

4 0
3 years ago
the sum of ages of father and his son is 60 years.if the difference between their ages is 40 years then find the age of father a
cluponka [151]

Answer:

Father's age is 50, Son's age is 10

Step-by-step explanation:

X+Y=60

X-Y= 40

Let X represent the Father's age while Y represents the Son's age;

therefore, from the two equations, the value of X is

X= 60-Y

X= 40+Y  then putting in the value of x

(40+Y) + Y= 60,

40+2Y=60

2Y=60-40 =20

Y= 10,

Now that we know the value of Y, we can get the value of x

If X+Y=60, then

X+10=60,

X=60-10,

X= 50

8 0
3 years ago
Read 2 more answers
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