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3 years ago

I need help with this one

Mathematics

2 answers:

arsen [322]3 years ago

7 0

Answer:

Step-by-step explanation:

Circumference = 37.68 units

2πr = 37.68

2*3.14*r = 37.68

$r=\frac{37.68}{2*3.14}\\\\$

r = 6 units

Area =πr²

= 3.14*6.6

= 113.04 square units

OlgaM077 [116]3 years ago

3 0

Answer:

112.98 square units

Step-by-step explanation:

Let's work backwards:

Circumference = 2πr

(37.68)/2π = r

Area = π $r^{2}$

Area = π * $((37.68)/2pi)^{2}$

Area = 112.983 square units

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a crate of strawberries costs $4 each or three crates cost $10. what is the minimum cost for $20 crates.

timofeeve [1]

The minimum cost for 20 crates would be 68 dollars. You would buy 18 crates using the 3 for 10 dollars ( this would cost 60 dollars), and then 2 crates using the one crate for 4 dollars (this would cost 8 dollars) all together you would have 20 crates, costing you 68 dollars.

4 0

2 years ago

2/9 of the members are boys in a community service club. if there are 95 more girls than boys, how many girls are there in club?

Talja [164]

Answer:

There are 171 members in the club

Number of boys = 38

Number of girls = 133

Step-by-step explanation:

Let

x = total members of the club

Boys = 2/9x

if there are 95 more girls than boys

Girls = 2/9x + 95

how many girls are there in club?

Total members in the club = boys + girls

x = 2/9x + 2/9x + 95

x = 2+2/9x + 95

x = 4/9x + 95

x - 4/9x = 95

9x-4x/9 = 95

5/9x = 95

Divide both sides by 5/9

x = 95 ÷ 5/9

= 95 × 9/5

= 855/5

= 171

boys = 2/9x

= 2/9 * 171

= 342 / 9

= 38

Girls = 2/9x + 95

= 38 + 95

= 133

Total = 38 + 133

= 171

There are 171 members in the club

Number of boys = 38

Number of girls = 133

5 0

3 years ago

Help me wit dis plz for for 20 points

Alisiya [41]

Answer:

I dont know but combine like terms and then solve it will make It alot easier

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2 years ago

What is the value of AAA when we rewrite \left(\dfrac {6}{17}\right)^{9x}( 17 6 ) 9x (, start fraction, 6, divided by, 17, end

sineoko [7]

We have been given an expression $\left(\dfrac {6}{17}\right)^{9x}$ . We are asked to find the value of A when rewrite our given expression as $A^{x}$ .

To solve our given problem, we will use exponent properties.

Using exponent property $a^{mn}=(a^m)^n$ , we can rewrite our given expression as:

$\left(\dfrac {6}{17}\right)^{9x}=\left(\left(\dfrac {6}{17}\right)^9\right)^{x}$

Now, we will compare our expression with $A^{x}$ .

Upon comparing $\left(\left(\dfrac {6}{17}\right)^9\right)^{x}$ with $A^{x}$ , we can see that $A=\left(\dfrac {6}{17}\right)^9$ .

Therefore, the value of A is $\left(\dfrac {6}{17}\right)^9$ .

We can further simplify $\left(\dfrac {6}{17}\right)^9$ as:

$\left(\dfrac {6}{17}\right)^9=\frac {6^9}{17^9}=\frac{10077696}{118587876497}$

6 0

3 years ago

Calculating cos-1 ( help is gladly appreciated :) )

Alekssandra [29.7K]

Answer:

$\frac{3\pi}{4}$

(Assuming you want your answer in radians)

If you want the answer in degrees just multiply your answer in radians by $\frac{180^\circ}{\pi}$ giving you:

$\frac{3\pi}{4} \cdot \frac{180^\circ}{\pi}=\frac{3(180)}{4}=135^{\circ}$ .

We can do this since $\pi \text{ rad }=180^\circ$ (half the circumference of the unit circle is equivalent to 180 degree rotation).

Step-by-step explanation:

$\cos^{-1}(x)$ is going to output an angle measurement in $[0,\pi]$ .

So we are looking to solve the following equation in that interval:

$\cos(x)=-\frac{\sqrt{2}}{2}$ .

This happens in the second quadrant on the given interval.

The solution to the equation is $\frac{3\pi}{4}$ .

So we are saying that $\cos(\frac{3\pi}{4})=\frac{-\sqrt{2}}{2}$ implies $\cos^{-1}(\frac{-\sqrt{2}}{2})=\frac{3\pi}{4}$ since $\frac{3\pi}{4} \in [0,\pi]$ .

Answer is $\frac{3\pi}{4}$ .

4 0

2 years ago