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snow_tiger [21]
3 years ago
12

Simplify as far as possible without a calculator.√2(4√7+3√2)

Mathematics
1 answer:
kvv77 [185]3 years ago
7 0

\sqrt{2} (4 \sqrt{7}  +  3\sqrt{2} )

\sqrt{2} (4 \sqrt{7} ) +  \sqrt{2} (3 \sqrt{2} )

4 \sqrt{14}  + 3(2)

4 \sqrt{14}  + 6

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3 years ago
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A circle has a circumference of 6. It has an arc of length 17/3. What is the central angle of the arc, in degrees?
zepelin [54]

Answer:

340 degrees

Step-by-step explanation:

So the key thing here is to notice that we are given the circumference which will allow us to find a value for the radius of the circle and hence the angle subtended by the arc (the central angle).

So the circumference of a circle = 2pi(r)

This means:

6 = 2pi(r)

Which means that

r = 6/2pi or r = 3/pi

Now we can use this value of r to find our angle in conjunction with the value of the arc length. So:

Arc length is defined by: length = θr

Where θ is our angle value.

So lets plug in:

\frac{17}{3} = (angle)\frac{3}{\pi }

Multiply by pi to get:

\frac{17\pi }{3} = 3(angle)

Divide by 3 to get that:

θ = 17pi/9

So if we convert that from radians to degrees we get 340 degrees.

7 0
3 years ago
What is the missing length.
nasty-shy [4]

Answer:

KS = 12

Step-by-step explanation:

Given that ∆KLM ~ ∆RSK, \frac{KL}{KR} = \frac{KM}{KS} (similarity theorem)

KL = 65

KR = 65 - 52 = 13

KM = 60

KS = ?

\frac{65}{13} = \frac{60}{KS}

Cross multiply

65*KS = 60*13

65*KS = 780

\frac{65*KS}{65} = \frac{780}{65}

KS = 12

4 0
3 years ago
A person invests 2000 dollars in a bank. The bank pays 4.75% interest compounded
grin007 [14]

Answer:

t = 2.7

Step-by-step explanation:

1. Use formula provided

2. A = 3500 B = 2000 r = 4.75 n = 12months/4 = 3 months t = ?

3. Solve

3500=2000(1+4.75/3)^3t

3t=logbase(31/12)*1500

t=logbase(31/12)*1500 / 3

t ≅2.568

4 0
3 years ago
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Does anyone know how to answer this?
max2010maxim [7]
Given that
The length of the rectangle 4cm and the breadth is 3cm
Area of rectangle= length * breadth
Area= 4*3
= 12cm^2
Hope it helped
3 0
2 years ago
Read 2 more answers
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