All categories

3 years ago

find the value of the variable. if your answer is not an interger, leave it in simplest radical form.

Mathematics

1 answer:

kotykmax [81]3 years ago

4 0

Answer:

Step-by-step explanation:

using the sine ratio in the right triangle, then

sin 45° = $\frac{opposite}{hypotenuse}$ = $\frac{x}{5}$

multiply both sides by 5

note the exact value of sin 45° = $\frac{\sqrt{2} }{2}$

x = 5 × sin 45° = 5 × $\frac{\sqrt{2} }{2}$ = $\frac{5\sqrt{2} }{2}$

You might be interested in

Consider the spreading of a rumor through a company of 1000 employees, allworking in the same building.We assume that the spread

natima [27]

Answer:

On the 12th day, the rumor would have has to all the 1000 employees

Step-by-step explanation:

Given the data in the question;

so, lets consider the rumor spreading thorough the company of 1000 employee;

the given model is; $r_{n+1}$ = $r_{n}$ + 1000k $r_{n}$ ( 1000 - $r_{n}$ )

where k is the parameter that depends on how fast the rumor spreads, n is the number of days.

now, lets assume k = 0.0001, lets also assume r₀ = 4

so to find how soon all 1000 employees will have heard the rumor ;

let n be;

then r1 will be;

r1 = r₀ + ( 0.001)r₀(1000-r₀ )

r1 = 4 + ( 0.001) × 4× (1000 - 4 )

r1 = 7.984

r2 will be;

r2 = r1 + ( 0.001)r1(1000-r1 )

r2 = 7.984 + ( 0.001) × 7.984 × (1000 - 7.984 )

r2 = 15.904255744

r3 will be;

r3 = r2 + ( 0.001)r2(1000-r2 )

r3 = 15.904255744 + ( 0.001) × 15.904255744 × (1000 - 15.904255744 )

r3 = 31.555566137

Using the same formula and procedure by substituting n = 1,2,3,4,5,6,7,8,9,10,11,12.

we will have;

n rₙ

0 4

1 7.984

2 15.904255744

3 31.555566137

4 62.1153785

5 120.372437

6 226.25535

7 401.319217

8 641.58132

9 871.53605

10 983.497013

11 999.727651

12 999.999926

Therefore, On the 12th day, the rumor would have has to all the 1000 employees

5 0

3 years ago

What percent of 90 is 50

andre [41]

To re-phrase this: 50 is a certain percent of 90.

this can be written mathematically as 50=x%*90

let's divide both sides by 10:

5=x%*9

and divide both sides by 9:

$\frac{5}{9} =x%$

which in decimals is approximately 0.56 (but not exactly).

so 0.56=x%

and the x then 56

so 50 is approximately 56% of 90:

exactly 56%of 90 is 50.4

4 0

3 years ago

Which of the following statements are true?

Eduardwww [97]

Answer:

B, C

Step-by-step explanation:

Consider all options:

A. The graph of the function $f(x)=\dfrac{1}{2}\sqrt[3]{x}$ is vertically shrunk by a factor $\frac{1}{2}$ the graph of the function $f(x)=\sqrt[3]{x},$ so the domain and the range of both functions are the same. This option is false.

B. The graph of the function $f(x)=\dfrac{1}{2}\sqrt[3]{x}$ is vertically shrunk by a factor $\frac{1}{2}$ the graph of the function $f(x)=\sqrt[3]{x},$ so the domain and the range of both functions are the same. This option is true.

C. The graph of the function $f(x)=\dfrac{1}{2}\sqrt[3]{(x-2)}$ is translated 2 units to the right and vertically shrunk by a factor $\frac{1}{2}$ the graph of the function $f(x)=\sqrt[3]{x},$ so their graphs are similar except the first graph is shifted right and shrunk vertically by a factor of $\frac{1}{2}.$ . This option is true.

D. The function $f(x)=\dfrac{1}{2}\sqrt{x}$ has the domain and the range all non-negative real values. The function $f(x)=\sqrt[3]{x}$ has the domain and the range all real values. So this option is false.

3 0

3 years ago

An online furniture store sells chairs for $200 each and tables for 166o ach. Every

ladessa [460]

Answer:

15 tables

Step-by-step explanation:

Chairs = $200

Tables = $600

Maximum items = 39

Minimum sales = $13,000

If 20 chairs are sold, revenue is $4,000. At least $9,000 in additional revenue is required. To earn $9,000, a minimum of 15 tables would need to be sold, which is fine since a maximum of 19 tables is permitted to be sold.

4 0

3 years ago

Read 2 more answers

(PLEASE HELP!!)

umka2103 [35]

Congruent because 2 is a larger number then one and 1 is a smalled number then 2

7 0

2 years ago