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3 years ago

WORTH 15 POINTS NEED ASAP

1 answer:

3 0

I know you didn’t post the triangle, but hopefully this helps:

Obtuse Triangle: the triangle has an angle greater than 90 degrees

Equilateral Triangle: all sides are the same length

Right Triangle: the triangle has a 90 degree angle

Scalene Triangle: none of the lengths are equal to each other

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Which mathematical terms originated from the Arabic mathematician, al-Khwarizmi? Check all that apply. algebra, decimal, fractio

katrin [286]

Answer:

Algebra

Step-by-step explanation:

7 0

3 years ago

Read 3 more answers

How do I solve for d(real answers only please)

mezya [45]

9514 1404 393

Answer:

multiply by (d/cos(36°))

Step-by-step explanation:

As with any division problem, the equation remains true if you swap the divisor and the quotient (short answer).

cos(36°) = 16/d

d = 16/cos(36°) = 16/0.8090169943749475 ≈ 19.77708763999635

d ≈ 19.78

Here is the longer answer, with respects to the properties of equality. The multiplication and division properties of equality tell you equality only holds if the same operation is performed to both sides of the equal sign. So, when we say "multiply by __", we mean that operation to be performed on boths sides of the equation.

$\cos{(36^{\circ})}=\dfrac{16}{d}\qquad\text{given}\\\\d\cdot\cos{(36^\circ)}=\dfrac{d\cdot 16}{d}=16\qquad\text{multiply by $d$}\\\\\dfrac{d\cdot\cos{(36^\circ)}}{\cos{(36^\circ)}}=\dfrac{16}{\cos{(36^\circ)}}\qquad\text{divide by $\cos{(36^\circ)}$}\\\\d=\dfrac{16}{\cos{(36^\circ)}}\qquad\text{simplify}$

The two operations, multiply by d and divide by cos(36°) can be combined into one: multiply by d/cos(36°). Once you realize this has the effect of the quotient (cos(36°)) and the divisor (d) trading places, you realize you don't need to take 3 steps to do what you can do in 1 step.

_____

Comment on numerical precision

We have kept the 16-digit precision of the numbers shown in the question, "just because." The final answer has 4 significant digits, so there is no real need to keep more than about 6 significant digits.

3 0

3 years ago

The area of a regular hexagon with sides of length 12 cm

hram777 [196]

A= 1/2ap
1/2(6 sq rt of 3)12 times 6
Answer 374.12 cm

3 0

3 years ago

- 1 1/2 +3 1/2 - 5/8

Irina18 [472]

Answer:

1 3/8

Step-by-step explanation:

Step by step explanation is below. See attachment :)

6 0

3 years ago

Read 2 more answers

Assume that the heights of American men are normally distributed with a mean of 69.0 inches and a standard deviation of 2.8 inch

erastovalidia [21]

Answer: 96.2%

Step-by-step explanation:

Assume that the heights of American men are normally distributed, we would apply the formula for normal distribution which is expressed as

z = (x - µ)/σ

Where

x = heights of American men.

µ = mean height

σ = standard deviation

From the information given,

µ = 69.0 inches

σ = 2.8 inches

the probability of men that have heights between 64 and 78 inches is expressed as

P(64 ≤ x ≤ 78)

For x = 64,

z = (64 - 69)/2.8 = - 1.79

Looking at the normal distribution table, the probability corresponding to the z score is 0.037

For x = 78,

z = (78 - 69)/2.8 = 3.2

Looking at the normal distribution table, the probability corresponding to the z score is 0.999

Therefore,

P(64 ≤ x ≤ 78) = 0.999 - 0.037 = 0.962

Therefore, the percent of men meeting these height requirements is

0.962 × 100 = 96.2%

7 0

4 years ago