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2 years ago

Work out the perimeter of a quarter-circle with radius 7cm.

Mathematics

2 answers:

Flura [38]2 years ago

7 0

Answer:

Step-by-step explanation:

p=1÷4pir+2r

1÷4×22÷7×7+2(7)

=11cm+14cm

=25

patriot [66]2 years ago

6 0

Answer:

3.5π cm²

Step-by-step explanation:

let P represent the perimeter of a circle with radius 7

P = 2×π×r

= 2×π×7

= 14π

the perimeter of a quarter-circle with radius 7 = P÷4

= 14π÷4

= 3.5π

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A cylinder has a radius of 3.2 meters its volume is 190 Cubic meters find its height to the nearest 10th of a meter

Stels [109]

Answer:

volume = pi r^2 h

or, 190 = pi (3.2)^2 h

or, 190/10.24 = pi h

or, 18.56 = 22/7 h

or, 18.56×7/22 = h

thus , h = 5.9037

5 0

2 years ago

A vat with 700 gallons of beer contains 4% alcohol (by volume). Beer with 6% alcohol is pumped into the vat at a rate of 7 gal/m

dolphi86 [110]

Answer:

5.2%.

Step-by-step explanation:

After 1 hour (60 / 100) * 700 = 420 gallons of beer have been exchanged.

So we have 420 gallons of 6% and 280 gallons of 4% after 1 hour.

So the strength at that time = (420* 6) + 280*4) / 700

= 5.2%.

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2 years ago

Evaluate each expression if x= 6. 8+x

UkoKoshka [18]

Answer:

Step-by-step explanation:

3 0

2 years ago

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What is 57.82 ÷ 0.784 (show ur work)

faltersainse [42]

Answer:

73.75

Step-by-step explanation:

$\frac{57.82}{0.784}$
Multiply numerator and denominator by 1000:

$\frac{57820}{784}$

Divide 57820 by 784 to get 7
Now divide 2940 by 784 to get 3

Now divide 5880 by 784 to get 7

Now divide 3920 by 784 to get 5

The solution of the long division is :

73.75

8 0

1 year ago

1.06t can be written as (1.061/2)2t to give the approximate equivalent monthly interest rate based on an annual rate of 6%. Use

Tema [17]

Answer: $1.06^t$ .

Step-by-step explanation: We are given expression $1.06^t$ .

And $1.06^t$ expression is converted in $(1.06^{1/2})^{2t}$ .

Now, we need to transform the expression into a single exponent expression using the properties of exponents.

We know, according to the properties of exponents

$(a^m)^n = a^{m\times n}$

Applying same rule in given expression, we get

$(1.06^{1/2})^{2t} = (1.06)^{\frac{1}{2} \times 2t}$

On simplifying exponents, we would get t in exponent.

= $1.06^t$ .

5 0

2 years ago

Read 2 more answers