What is 10000 times greater than 7

Mathematics

1 answer:

Aleksandr-060686 [28]3 years ago

6 0

10000 times greater than 7 is 70000

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Find the exact value of tan(pi/12) using the sum and difference formulas

kari74 [83]

Π/12 is half of π/6, which is 30 degree
tan(α/2)=(1-cosα)/sinα)
plug in the values: tan(π/12)=(1-cosπ/6)/sin(π/6)=(1-√3/2)/(1/2)=2-√3

7 0

3 years ago

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Grace has a bag of candy corn with 378 pieces. She wants to divide it equally and give it to 9 friends in smaller bags. How many

borishaifa [10]

Answer:

42 pieces

Step-by-step explanation:

you do 378÷9

then you'll get the answer which is 42 pieces

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1. What is the simple interest on $4,500 for 2 and a half years at 4% per year?

allochka39001 [22]

Answer: 1st is 180$ sorry if I’m wrong

Step-by-step explanation:

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In ΔABC, the lengths of a, b, and c are 22.5 centimeters, 18 centimeters, and 13.6 centimeters, respectively.

Irina-Kira [14]

Given the values of the three sides of the triangle, we can apply the Cosine Law to find the angles of the triangle. Recall that for we can express the value of c through the equation below.

$c^{2} = a^{2} + b^{2} - 2abcosC$

Rearranging this equation, we can find the value ∠C as shown below.

$\cos C = \frac{a^{2}+b^{2}-c^{2}}{2ab}$
$C = cos^{-1} (\frac{a^{2}+b^{2}-c^{2}}{2ab})$

We can apply the same reasoning for finding the value of ∠B as shown.

$B = cos^{-1} (\frac{a^{2}+c^{2}-b^{2}}{2ac})$

Plugging in the values of the sides (see image attached) from the given. It will now be straightforward to compute for ∠B and ∠C.

$C = cos^{-1} (\frac{22.5^{2}+18^{2}-13.6^{2}}{2(22.5)(18)})$
$C \approx 37.19$

$B = cos^{-1} (\frac{22.5^{2}+13.6^{2}-18^{2}}{2(22.5)(13.6)})$
$B \approx 53.13$

Answer: ∠C = 37.19° and ∠B = 53.13°