MATHEMATICS HIGH SCHOOL

Solve the equation sin(x - 20°) = cos(42º) for x, where 0

Answers

Answer 1

Answer:

Answer:

$x = 68$

Step-by-step explanation:

Sine are Cosine are Complementary Angles.

We can use this formula

$\sin(x) = \cos(y)$

when x+y=90.

Add the expressions in the parentents to 90 and solve for x.

$x - 20 + 42 = 90$

$x + 22 = 90$

$x = 68$

The answer is

$x = 68$

Related Questions

Which inverse operation would be used to verify the following equation?102 ÷ 3 = 34 A. 34 − 3 = 31 B. 3 + 34 = 37 C. 34 × 3 = 102 D. 102 ÷ 34 = 3
For each hour he babysits, Anderson earns $1 more than half of Carey’s hourly rate. Anderson earns $6 per hour. Which equation can be used to solve for Carey’s hourly rate, c?
In a dilation, the ratio of the length of a side on the image to the length of its corresponding side on the pre-image is called the___ ___A) Center of dilationB) Scale factorC) Expansion or contractionD) Mapping rulePlssss help im stuck on this and correct only please for brainliest
Factor completely 16x4 - 64y8
What times what equals 11 but added together makes 12

redo question 18 above with the same amount of deposit and the same interest rate, but with the interest compounded quarterly. how much money would you have at the end of the four years in this situation?

Answers

There are no given figures. I'll just show what the difference is. Let us assume the following
Principal = 10,000
interest rate = 12%
term = 4 years

Simple Interest = Principal * interest rate * term
S.I = 10,000 * 12% * 4 years
S.I = 4,800

Total value at the end of 4 yrs = 10,000 + 4,800 = 14,800

Compounded Interest. Compounded quarterly.
A = P(1 + r/n)^n*t
A = 10,000 (1 + 12%/4)^4*4
A = 10,000 (1.03)^16
A = 10,000 (1.60)
A = 16,000 value after 4 years.

Find the equivalent fraction of 3/7 having denominator 20

Answers

Answer:

x= the numerator

3/7 = x/20

7x=20*3

7x=60

x=60/7

equivalent fraction of 3/7 having denominator 20: 3/7 = $(60/7)/(20)$

we check:

(60/7)/20= 60/7*20 = 60/140 =6/14 =3/7

Step-by-step explanation:

Which statement is true if the degree of the numerator's polynomial function is greater than the degree of the denominator's polynomial function? A. it has one horizontal asymptote. B. it has one vertical asymtote. C. it has no horizontal asymptote. D. it has no vertical asymptote

Answers

If the degree of the numerator`s polynomial function is greater than the degree of the denominator`s polynomial function than:
lim f ( x ) = ∞
x→∞
Answer:
C ) it hasno horizontal asymptote.

Answer:

Option: C is the correct answer.

C. It has no horizontal asymptote.

Step-by-step explanation:

We know that the horizontal asymptote of a function is obtained as follows:

if the degree of the numerator and denominator are equal then we divide the coefficients of the higher degree term.

If the degree of denominator term is greater than the numerator than the horizontal asymptote is the x-axis.

Also if the numerator is of greater degree as compared to the denominator there are no horizontal asymptote.

Hence, in the given question we are given 3) case.

Hence, there are no horizontal asymptote.

In the equation x^2 + 10x + 24 = (x + a)(x + b), b is an integer. Find algebraically all possiblevalues of b.

Answers

To factor (x² +10x+24); you first have to ask yourself, what 2 numbers will multiply and give me positive 24, but add and give me positive 10? After listing your factors, (1,24)(2,12)(3,8)and (4,6); you decide that (4*6)=24 & adds to get you 10. Meaning that (x²+10x+24) factors are (x+4)(x+6).
Now algebraically, there wouldn't be any other possible value of b, 6, because if you put (-6) & (4), those numbers will multiply and give you (-24) and add & give you (-2); & that is not what you're looking for.

I hope I explained this enough for you to understand. (:

What percent of 19.6 is 10.78?

Answers

It would be: 10.78 /19.6 * 100 = 1078/19.6 = 55%

So, your final answer is 55%

Hope it helped.

The speeds on the interstate are normally distributed with a mean of 70 mph and a standard deviation of 5 mph. Approximately what percent of speeds fall between 60 mph and 80 mph?

Answers

$\mathbb P(60<X<80)=\mathbb P\left(\frac{60-70}5<\frac{X-70}5<\frac{80-70}5\right)=\mathbb P(-2<Z<2)$

The empirical rule asserts that approximately 95% of a distribution falls within two standard deviations of the mean.

Other Questions

What is the value of x in the proportion below?

Find the zeros in simplest radical form: y=1/2x^2-4

Which function has the greatest y-intercept?

(I SCREENSHOT THE WHOLE THING. PLS PLS HELP D: )