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2 years ago

10

Find Y. Round to the nearest tenth. Y= ? Degrees

2 answers:

lana66690 [7]2 years ago

4 0

Answer:

Y = 59.0°

Step-by-step explanation:

Using the cosine rule in terms of x, y and z

cosY = $\frac{x^2+z^2-y^2}{2xz}$

with x = 22, y = 20 and z = 18

cosY = $\frac{22^2+18^2-20^2}{2(22)(18)}$

= $\frac{484+324-400}{792}$

= $\frac{408}{792}$ , thus

Y = $cos^{-1}$ ( $\frac{408}{792}$ ) ≈ 59.0° ( to the nearest tenth )

torisob [31]2 years ago

3 0

<h2>Answer: <u><em>I think this is the right answer Y = 59.0°</em></u></h2><h2><u><em /></u></h2><h2>Step-by-step explanation: </h2><h2><u><em>And also I hope this one helps</em></u></h2>

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Help please, not sure how to do this...

olga nikolaevna [1]

Answer:

8.38

Step-by-step explanation:

The underlined number is in the hundredths place, so that means that we're going to round there. That means that you look at the number to its right and if it's lower than 5, it stays the same. However, if it's 5 or higher, you round it up. For example, if the number was 8.386, we would round it to 8.39.

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2 years ago

Six more than eight times a number equals thirty. what is that number?

kkurt [141]

6 + 8x = 30
Problem written out
8x = 24
Subtracted 6 to get 8x alone
x = 3
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2 years ago

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Margaret deposits $1,000 in a savings account that pays 1.4% interest compounded

ozzi

Answer:

The balance after 1 year is;

$1,014.05

Step-by-step explanation:

To do this, we use the compound interest formula

That will be ;

A =P (1 + r/n)^nt

A is the amount generated which we want to calculate

r is the rate = 1.4% = 0.014

P is the amount deposited = $1,000

n is the number of times it is compounded annually which is 2 (semi-annually means 2 times in a year)

this the number of years which is 1

we have this as:

A = 1,000( 1 + 0.014/2)^(2*1)

A = 1,000(1 + 0.007)^2

A = 1,000(1.007)^2

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2 years ago

A manufacturer of banana chips would like to know whether its bag filling machine works correctly at the 436.0 gram setting. It

Vilka [71]

Answer:

We conclude that the machine is under filling the bags.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 436.0 gram

Sample mean, $\bar{x}$ = 429.0 grams

Sample size, n = 40

Alpha, α = 0.05

Population standard deviation, σ = 23.0 grams

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 436.0\text{ grams}\\H_A: \mu < 436.0\text{ grams}$

We use one-tailed(left) z test to perform this hypothesis.

Formula:

$z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }$

Putting all the values, we have

$z_{stat} = \displaystyle\frac{429 - 436}{\frac{23}{\sqrt{40}} } = -1.92$

Now, $z_{critical} \text{ at 0.05 level of significance } = -1.64$

Since,

$z_{stat} < z_{critical}$

We reject the null hypothesis and accept the alternate hypothesis. Thus, we conclude that the machine is under filling the bags.

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3 years ago

The table represents a linear equation.which equation shows how (-10,8) can be used to write the equation of this line is point-

larisa86 [58]

Answer:

$\large\boxed{y-8=-0.2(x+10)}$

Step-by-step explanation:

The point-slope form of an equation of a line:

$y-y_1=m(x-x_1)$

m - slope

(x₁, y₁) - point

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

From the table we have the points (-10, 8) and (10, 4). Substitute:

$m=\dfrac{4-8}{10-(-10)}=\dfrac{-4}{20}=-\dfrac{1}{5}=-0.2$

The equation of a line:

$y-8=-0.2(x-(-10))\\\\y-8=-0.2(x+10)$

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2 years ago

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