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SIZIF [17.4K]
3 years ago
5

A 5cm * 11cm rectangle sits inside a circle with a radius of 12 cm

Mathematics
1 answer:
velikii [3]3 years ago
3 0
I gotta answer questions to ask questions
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In triangleABC, angle B= 90 degrees, cos(C)=15/17 and AB = 16 what is the measure of Angle A, Angle C and angle AC
Sergeeva-Olga [200]

Answer:

m∠C=28°, m∠A=62°, AC=34.1 units

Step-by-step explanation:

Given In ΔABC, m∠B = 90°, , and AB = 16 units. we have to find m∠A, m∠C, and AC.

As,  cos(C)={15}/{17}

⇒ angle C=cos^{-1}(\frac{15}{17})=28.07^{\circ}\sim28^{\circ}

By angle sum property of triangle,

m∠A+m∠B+m∠C=180°

⇒ m∠A+90°+28°=180°

⇒ m∠A=62°

Now, we have to find the length of AC

sin 28^{\circ}=\frac{AB}{AC}

⇒ AC=\frac{16}{sin 28^{\circ}}=34.1units

The length of AC is 34.1 units

3 0
3 years ago
The chorus has 30 members. What expression represents the number of ways a group of 6 members can be chosen to do a special perf
RoseWind [281]
The problem uses the concept of Combination where there are number of members chosen from a group and there order is not important. Thus, the expression that would best describe the given above is 30C6 which means the combination of 30 taken 6. The numerical value for this is 593775. 
8 0
3 years ago
Read 2 more answers
What is 18 x 9.24 step by step?
Tanzania [10]

Answer: 166.32

Step-by-step explanation: multiply 18 by 9 first. (162) then multiply the decimal numbers. Then at that to the previous product.

7 0
2 years ago
The first term of an arithmetic sequence is equal to four and the common difference is three. find the formula for the value of
hichkok12 [17]

The formula for the value of nth term is a_{n} = 3n + 1

Step-by-step explanation:

The formula of the nth term in the arithmetic sequence is

a_{n}=a+(n-1)d , where

  • a is the first term of the sequence
  • d is the common difference between each two consecutive terms

∵ The first term of an arithmetic sequence is equal to four

∴ a = 4

∵ The common difference is equal to three

∴ d = 3

- Substitute these values in the rule of the nth term

∵ a_{n}=a+(n-1)d

∴ a_{n}=4+(n-1)3

- Simplify it

∴ a_{n}=4+3n-3

∴ a_{n}=1+3n

The formula for the value of nth term is a_{n} = 3n + 1

Learn more:

You can learn more about the sequence in brainly.com/question/7221312

#LearnwithBrainly

7 0
3 years ago
Evaluate 1/5t + 1/10 when t= 1/2
Aliun [14]

Step-by-step explanation:

\frac{1}{5} ( \frac{1}{2} ) + ( \frac{1}{10} ) \\  \frac{1}{10}  +  \frac{1}{10}  \\  =  \frac{2}{10}  \\  =  \frac{1}{5}

8 0
3 years ago
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