All categories

3 years ago

Find x in this 45°-45°-90° triangle. x = 4.5√2 9 18

Mathematics

1 answer:

postnew [5]3 years ago

5 0

Answer:

x = 9

Step-by-step explanation:

Using the sine ratio in the right triangle and the exact value

sin45° = $\frac{1}{\sqrt{2} }$ , then

sin45° = $\frac{opposite}{hypotenuse}$ = $\frac{x}{9\sqrt{2} }$ = $\frac{1}{\sqrt{2} }$ ( cross- multiply )

x × $\sqrt{2}$ = 9 $\sqrt{2}$ ( divide both sides by $\sqrt{2}$ )

x = 9

You might be interested in

Please help, Thanks!!

Alja [10]

Answer:

I50

Step-by-step explanation:

S you see it has to be a 4th because of the 957 factor

6 0

3 years ago

A certain shade Green is made from five parts yellow mixed with three Pres Blewett two cans of y’all are used how many cans of b

Lostsunrise [7]

Answer:

6/5 blue

Step-by-step explanation:

to find a relation from 5 cans of yellow to 2 cans of yellow you can divide by 5 and * by 2. If you do this with ur 3 cans of blue you get 3/5*2 = 6/5. Hope this helps:)

8 0

4 years ago

Read 2 more answers

Calculate the gross pay per paycheck for C. D. Edgeling, who makes an annual salary of $30,000 and is paid biweekly.?

son4ous [18]

If you get paid a salary, and you want to know the weekly amount of pay, you need to determine the number of weeks in a year. Sure, you might say "But that's 52 weeks". Wrong. There are 365.25 days in a year (364 but then an extra day every 4th or leap year) There are 7 days in a week. So the number of weeks in a year is: 365.25/7 = 52.1785715285714 weeks This is usually rounded to 2decimal places: 52.18 weeks Therefore, for a salary of 60 000 p.a.,

4 0

4 years ago

Log25x-log5=2 Pplllleeeeeaaaassseee

Andreyy89

Since no base is stated, assume base 10
remember
loga-logb=log(a/b)
also
$log_a(b)=c$ translates to $a^c=b$
and log(a^z)=zlog(a)

log25x-log5=2 means
$log_{10}(25x)-log_{10}(5)=2$ translates to
$log_{10}( \frac{25x}{5} )=2$ simplies to
$log_{10}(5x)=2$ translates to
$10^2=5x$ expands to
100=5x
divide both sides by 5
20=x

4 0

3 years ago

Read 2 more answers

Suppose you were given a 95% confidence interval for the difference in two population means. What could you conclude about the p

Savatey [412]

Answer:

(a) The population means are not same.

(b) The population means are same.

Step-by-step explanation:

The hypothesis to test whether there is a significant difference between two population means is:

H₀: There is no difference between the two population means, i.e. μ₁ - μ₂ = 0.

Hₐ: There is no difference between the two population means, i.e. μ₁ - μ₂ ≠ 0.

The decision rule based on confidence interval for the difference between two population means is:

If the confidence interval consists the null value of the difference, i.e. 0 then the null hypothesis will be accepted or else it will be rejected.

(a)

It is provided that the confidence interval for the difference between two population means does not contains 0.

Since the null value of the difference is not contained in the interval, it can be concluded that the null hypothesis will be rejected.

Thus, the population means are not same.

(b)

It is provided that the confidence interval for the difference between two population means does contains 0.

Since the null value of the difference is contained in the interval, it can be concluded that the null hypothesis will not be rejected.

Thus, the population means are same.

6 0

3 years ago

Read 2 more answers