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never [62]
3 years ago
14

A circle has central angle with an angle measure of 2 rad and a radius with a length of 5.7. Determine the length of the arc sub

tended by this angle. Record answer to the nearest tenth.
Mathematics
1 answer:
lisabon 2012 [21]3 years ago
7 0

Answer:

Step-by-step explanation:

A circle has central angle with an angle measure of 2 rad. We would convert from rad to degrees.

1 rad = 57.296 degrees

2 rads = 2×57.296 = 114.592 degrees.

The radius of the circle is 5.7

To determine the length of the arc subtended by this angle, we would apply the formula,

Length of arc = #/360 × 2πr

r = radius of circle = 5.7

π = constant = 3.14

Length of arc = 114.952 /360 × 2× 3.14 ×5.7 = 11.39

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find the lump sum that must be deposited today to have a future value of $25,000 in 9 years if the funds carn 8%, compounded ann
Nutka1998 [239]

Answer:

The lum sum that must be deposited today is $12,506.25 to have a future value of $25,000 in 9 years if the funds carn 8%, compounded annually.

Step-by-step explanation:

We are given:

Future value (A)=$25,000

Rate r =8% (0.08%)

Time t = 9

Compounded Annually n =1

We need to find:

Principal Amount (P) = ?

The formula used will be:

A=P(1+\frac{r}{n})^{nt}

Putting values and finding Principal Amount (P)

A=P(1+\frac{r}{n})^{nt}\\25000=P(1+\frac{0.08}{1})^{9*1} \\25000=P(1+0.08)^{9} \\25000=P(1.08)^{9} \\25000=P(1+0.08)^{9} \\25000=P(1.9990)\\P=\frac{25000}{1.9990}\\\mathbf{P=12506.25 }

So, The lum sum that must be deposited today is $12,506.25 to have a future value of $25,000 in 9 years if the funds carn 8%, compounded annually.

3 0
3 years ago
Kayden went to the store to buy some walnuts. The price per pound of the walnuts is
Scrat [10]

Answer:

he would have to pay $36.00

7.50p - 1.50

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Can you do this please need it done by midnight<br><br>​
deff fn [24]
<h3><u>Answer:</u></h3>

\boxed{\pink{\sf\leadsto Value \ of \ x \ is \ 24^{\circ}}}

<h3><u>Step-by-step explanation:</u></h3>

In the given parallelogram we can see that , <B is 5x° and <C is equal to 2x + 12°.

And these two are co - interior angles . And sum of co - interior angles is 180°.

Hence , here

\tt:\implies \angle DCB + \angle ABC = 180^{\circ} \\\\\tt:\implies (2x + 12)^{\circ} + 5x^{\circ}=180^{\circ} \\\\\tt:\implies 7x = (180 - 12 )^{\circ} \\\\\tt:\implies 7x = 168^{\circ} \\\\\tt:\implies x =\dfrac{168^{\circ}}{7} \\\\\underline{\boxed{\red{\tt\longmapsto x = 24^{\circ}}}}

<h3><u>Hence the value of x is 24°</u><u>.</u></h3>

\rule{200}2

4 0
3 years ago
I WILL GIVE BRAINLIEST!
Illusion [34]

Answer:

24 ft cubed

Step-by-step explanation:

The volume of a rectangular prism is denoted by the formula: V=lwh , where l is the length, w is the width, and h is the height.

Looking at the diagram, we can see that the length is 2 ft (so l = 2), the width is 4 ft (so w = 4), and the height is 3 ft (so h = 3). Now, we can just plug in these values to find V, the volume:

V=lwh

V=2*4*3=24

Thus, the answer is 24 ft cubed.

Hope this helps!

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3 years ago
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Which point on the number line represents the quotient 12 divided by -2
Afina-wow [57]
Point C is the answer I believe
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2 years ago
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