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kramer
3 years ago
10

The length of the hypotenuse of a 30 -60 -90 triangle is 11, find the perimeter ?

Mathematics
1 answer:
pentagon [3]3 years ago
5 0
Cos(30) = x/11

cos(30) × 11 = 9.53

sin(30) × 11 = 5.5

perimeter = 11+9.53+5.5 = 26.03

Hope this helps
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How many different digits are needed for the base 6 system?​
lorasvet [3.4K]

Answer:

0, 1, 2, 3, 4 and 5

Step-by-step explanation:

In a nutshell, base six  is a number system that employs the numbers 0 through 5 instead of 0 through 9 in each digit. As a result, a number that would be stated as 6 in base ten is written as 10. We count one, two, three, four, five, ten, eleven, twelve, thirteen, fourteen, fifteen, twenty, and so on.

6 0
3 years ago
The standard deviation of a probability distribution is a: A. measure of variability of the distribution B. measure of skewness
GuDViN [60]

Answer:

The standard deviation of a probability distribution is a measure of variability of the distribution.

Step-by-step explanation:

We have been given an incomplete statement. We are asked to complete the given statement.

We know that standard deviation is measure of variability or dispersion of a set of data values.

It tells up how much a data point is spread out from the average or mean of the data set.

Therefore, option A is the correct choice.

4 0
3 years ago
You can jog around the block twice and the park once in 10 min. You can jog around the block twice and the park 3 times in 22 mi
stich3 [128]
B = block     p = park

2b + p = 10 min                2 runs around the block takes 10 minutes
2b + 3p = 22 min        2 runs around the block plus 3 runs around the park                                                       takes 22 minutes

To solve, I will use substitution. First, I will divide the first equation by 2 to get b by itself and subtract p from both sides to get b by itself. Then, substitute 5 - 1/2p in for b in the second equation because they have equal values. Then, subtract 10 from both sides to eliminate it. Divide by 2 to both sides to get 'p' by itself.

2b + p = 10 min ---------→b + 1/2p = 5 ----------→ b = 5 - 1/2p

2(5 - 1/2p) + 3p = 22 ---------→ 10 -p + 3p = 22 --------→ 10 + 2p = 22

10 + 3p = 22 ----------→ 2p = 12

2p = 12 -------------→ p = 6

It takes 6 minutes to jog around the park

Hope this helps!
6 0
3 years ago
If the areas of the given pairs of shapes are equal, find the value of x.​
den301095 [7]

Answer:

x = 8cm

Step-by-step explanation:

we are given a square and rectangle.we want to figure out x which is the width of the rectangle. we are also given a condition i.e

  • the area of the square equal to the area of the rectangle

therefore,

\displaystyle \rm A _{square } = A _{rect}

recall the formula of the area of square and rectangle so,

\displaystyle  {s}^{2} = lw

now assign variables

  • s \implies16cm
  • l \implies32cm
  • w \implies x

thus substitute:

\displaystyle 32cmx =  {16cm}^{2}

simplify square:

\displaystyle 32cmx = 256cm^2

divide both sides by 32:

\displaystyle  \boxed{x = 8cm}

and we're done!

3 0
2 years ago
Read 2 more answers
A savings account with 500 now has 120
vovangra [49]

Answer:380

Step-by-step explanation:

500-120=380

7 0
3 years ago
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