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2 years ago

What is the value of x to the nearest tenth?

Mathematics

1 answer:

baherus [9]2 years ago

3 0

Answer:
x
≈
16

Explanation:
Remember Sine of an angle is
opposite side
hypotenuse

So let the hypotenuse be
x
:
sin
(
47
°
)
=
opposite side
x

sin
(
47
°
)
=
12
x

To solve for
x
, divide
sin
(
47
°
)
by
12
:
x
=
12
sin
(
47
°
)

x
≈
16

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Which if the following is the equation of a line that passes through the points (2,5) and (4,3)

Taya2010 [7]

Hi there!

First, let's find the slope of the two points using the slope formula (y2 - y1 / x2 - x1).

S = 4 - 2 / 3 - 5
S = 2 / -2
S = -1

Next, we'll plug in the slope and a point into point-slope form (y - y1 = s(x - x1)) in order to find an equation. I will show the work using both points, which will result in two different equations.

(2,5)
y - 5 = -1(x - 2)
y - 5 = -x + 2
y = -x + 7

(4,3)
y - 3 = -1(x - 4)
y - 3 = -x + 4
y = -x + 7

The two equations came out the same! Which is completely okay, and happens sometimes.

Hope this helps!! :)
If there's anything else that you're needing help with, don't be afraid to reach out!

3 0

3 years ago

For each day that Sasha travels to work, the probability that she will experience a delay due to traffic is 0.2. Each day can be

lions [1.4K]

Answer:

0.8213

Step-by-step explanation:

-This is a binomial probability problem given by the function:

$P(X=x)={n\choose x}p^x(1-p)^{n-x}$

Given that n=21 and p=0.2, the probability that she experience a delay on at least 3 days is calculated as:

$P(X=x)={n\choose x}p^x(1-p)^{n-x}\\\\P(X\geq 3)=1-P(X$

Hence, the probability that she experience delay on at least 3 days is 0.8213

6 0

3 years ago

$425 is 17% of what number

9966 [12]

Set it up at 425=.17x
Solve for x by dividing both sides by .17 to get x=2500
Answer is 2500

6 0

3 years ago

Am I correct? If so why?

babunello [35]

Answer: its correct

Step-by-step explanation: and its correct cuase its the answer you choose

7 0

2 years ago

Given the function h(x) =1/3 |x-6| +4, evaluate the function when x = - 3, - 2, and 0

Masja [62]

|x| = x for x ≥ 0

examples:

|3| = 3; |0.56| = 0.56; |102| = 102

|x| = -x for x < 0

examples:

|-3| = -(-3) = 3; |-0.56| = -(-0.56) = 0.56; |-102| = 102

--------------------------------------------------------------------------------

Use PEMDAS:

P Parentheses first

E Exponents (ie Powers and Square Roots, etc.)

MD Multiplication and Division (left-to-right)

AS Addition and Subtraction (left-to-right)

--------------------------------------------------------------------------------

$h(x)=\dfrac{1}{3}|x-6|+4$

Put the values of x to the equation of the function h(x):

$x=-3\to h(-3)=\dfrac{1}{3}|-3-6|+4=\dfrac{1}{3}|-9|+4=\dfrac{1}{3}(9)+4=3+4=7\\\\x=-2\to h(-2)=\dfrac{1}{3}|-2-6|+4=\dfrac{1}{3}|-8|+4=\dfrac{1}{3}(8)+4=\dfrac{8}{3}+\dfrac{12}{3}=\dfrac{20}{3}\\\\x=0\to h(0)=\dfrac{1}{3}|0-6|+4=\dfrac{1}{3}|-6|+4=\dfrac{1}{3}(6)+4=2+4=6$

6 0

2 years ago