All categories

4 years ago

Given that sin 30=0.5, find x by calculation

Mathematics

1 answer:

Natali5045456 [20]4 years ago

5 0

Answer:

x = 10

Step-by-step explanation:

With reference angle 30°

Perpendicular (p) = 5 cm

hypotenuse (h) = x = ?

Now

sin 30° = p / h

0.5 = 5 / x

x = 5/ 0.5

Therefore x = 10

You might be interested in

Calculate simple interest earned on a deposit of $500 at a rate of 5% for 5 years. $125 $500 $625 $12,500

Sergio [31]

Answer:

$125

Step-by-step explanation:

Given:

deposit, P= $500

rate,i = 5%

time,t= 5 years

I=P*i*t

where P is principal amount

i is interest rate

t is time

I is simple interest

Putting values we get:

I=500*0.05*5

= 125 !

8 0

4 years ago

Read 2 more answers

A recipe calls for 4 cups of sugar to 5 cups of flour. How many cup(s) of

Lubov Fominskaja [6]

Answer:

4/9

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

A survey was conducted to determine whether hours of sleep per night are independent of age. A sample of individuals was asked t

alekssr [168]

Answer:

Sleep hours per night is independent.

Step-by-step explanation:

Given the data:

Hours of Sleep 39 or younger 40 or older

> 6 _____38 36

6 to 6.9 _ 61 58

7 to 7.9 __76 74

8 or more 65 92

The Chisquare statistic is to be used to perform the analysis :

The hypothesis :

H0: Sleep hours per night is independent

H1: Sleep hours per night is not independent

χ² = (observed - Expected)² / Expected

To save computation time. We could use a Chisquare calculator to perform the analysis :

The test statistic = 4.0061

The degree of freedom = (row - 1) * (column - 1)

Degree of freedom = (4-1)*(2-1) = 3*1 = 3

The Pvalue = 0.261

Since, Pvalue > α ; We fail to reject the H0 ;and conclude that sleep hours per night is independent.

______________total ___%

> 6 _____38 36__ 74 __ 14.8

6 to 6.9 _ 61 58 __ 119 __23.8

7 to 7.9 __76 74___150__30

8 or more 65 92___157__31.4

_______240 _260__500_100

7 0

3 years ago

Tickets for seniors prom cost $25 for individual tickets and $40 for couples tickets. They collected a total of 2500 from ticket

quester [9]

Answer: 20

Step-by-step explanation:

Given

The cost of an individual ticket is $25

The cost of a couple's ticket is $40

The total sale is $2500

total ticket sold is 70

Suppose there are x individuals and y couples

$\therefore x+y=70\quad \ldots(i)\\\\25x+40y=2500\quad \ldots(ii)\\\text{Solving }(i)\ \text{and}\ (ii)\ \text{we get}$

$x=20,y=50$

So, they sold 20 tickets of the individual.

8 0

3 years ago

Which expression is equivalent to

lutik1710 [3]

Answer:

$\frac{\sqrt[4]{3x^2} }{2y}$

Step-by-step explanation:

We can simplify the expression under the root first.

Remember to use $\frac{a^x}{a^y}=a^{x-y}$

Thus, we have:

$\sqrt[4]{\frac{24x^{6}y}{128x^{4}y^{5}}} \\=\sqrt[4]{\frac{3x^{2}}{16y^{4}}}$

We know 4th root can be written as "to the power 1/4th". Then we can use the property $(ab)^{x}=a^x b^x$

So we have:

$\sqrt[4]{\frac{3x^{2}}{16y^{4}}} \\=(\frac{3x^{2}}{16y^{4}})^{\frac{1}{4}}\\=\frac{3^{\frac{1}{4}}x^{\frac{1}{2}}}{2y}\\=\frac{\sqrt[4]{3x^2} }{2y}$

Option D is right.

8 0

4 years ago