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3 years ago

What is the value of x round to the nearest tenths

Mathematics

1 answer:

ICE Princess25 [194]3 years ago

3 0

Answer:

x = 24.6

Step-by-step explanation:

Reference angle = 26°

Opposite side to reference angle = 12

Adjacent side = x

Thus, apply TOA (trigonometric ratio)

Tan 26 = opp/adj

Tan 26 = 12/x

x × tan 26 = 12

x = 12/(tan 26)

x = 24.6 (nearest tenths)

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jerry has 60 coins consisting of quarters and dimes. The coins combined value is $9.45. Find out how are quarters and how many a

jekas [21]

Eq. 1 .10x + .25y = 9.45
Eq. 2 x + y = 60 rewrite as x = 60 - y and substitute into equation 1.

.10(60 - y) + .25y = 9.45
6 - .1y + .25y = 9.45
6 + .15y = 9.45
.15y = 3.45
y = 23
60 - 23 = 37

23 quarters
37 dimes

23* .25 = 5.75
37 * .1 = 3.70
5.75 + 3.70 =9.45

7 0

4 years ago

What is the the y-intercept and x-intercept of the line.<br> 4x - 4y= 36

algol13

Answer:

x-intercept: (9,0)

y-intercept: (0,-9)

Step-by-step explanation:

The x-intercept and y-intercept is the point at which a line intersects the x-axis and y-axis, respectively. All points on the x-axis have a y-value of 0, while all points on the y-axis have an x-value of 0. Thus, to find the x and y intercepts, substitute 0 for one of the variables in the equation, then solve for the other.

1) To find the x-intercept, substitute 0 for y. Then, isolate x.

$4x-4(0)=36\\4x-0=36\\4x = 36\\x = 9$

So, the x-intercept must be (9,0).

2) To find the y-intercept, substitute 0 for x. Then, isolate y.

$4(0)-4y = 36\\0-4y = 36\\-4y = 36\\y = -9$

So, the y-intercept must be (0,-9).

4 0

3 years ago

I need help?? please help

iris [78.8K]

Its easy you just have to do the pi formula

3 0

3 years ago

A diagonal of a cube measures 294 cm. The diagonal of a face measures 14 cm. What is the length of an edge of the cube? Round to

miv72 [106K]

Answer:

The answer is 9.9

4 0

3 years ago

Read 2 more answers

Suppose you were to draw all possible samples of size 36 from a large population with a mean of 650 and a standard deviation of

Lady_Fox [76]

Answer:

By the Central Limit Theorem, it is approximately normal with mean 650 and standard deviation 4.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean of 650 and a standard deviation of 24.

This means that $\mu = 650, \sigma = 24$ .

Sample of 36:

This means that $n = 36, s = \frac{24}{\sqrt{36}} = 4$

What is the shape of the sampling distribution you would expect to produce?

By the Central Limit Theorem, it is approximately normal with mean 650 and standard deviation 4.

7 0

3 years ago