1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
AnnyKZ [126]
3 years ago
13

Which value of x solves the equation cos x° = sin (20° + x°), where 0 < x < 90? A. 30° B. 35° C. 40° D. 45° E. 55°

Mathematics
1 answer:
daser333 [38]3 years ago
4 0

Answer:

Option B (35°).

Step-by-step explanation:

To solve this question, the trigonometric identity sin x = cos (90-x) is required. It can also be written as cos x = sin (90-x). It can be seen that this identity holds when the two angles are complementary i.e. they sum up to 90 degrees. Therefore, the answer can be determined by substituting all the options one by one in the identity cos x = sin (20+x). If x=30 degrees, then x+20=50 degrees. 30 and 50 are not complementary. If x=35 degrees, then x+20=55 degrees. 35 and 55 are complementary since their sum is 90 degrees. Therefore, B is the correct choice!!!

You might be interested in
Evaluate 3x-2y; if x=7 and y=3
Zarrin [17]

Answer:

15

Step-by-step explanation:

3x - 2y = ?

3(7) - 2(3) = ?

21 - 6 = ?

= 15

All you have to do is substitute the given values & follow the order of operations! Best of luck.

3 0
3 years ago
Rosario is rollling a six- sided cube. Rosario rolls the number cube twice. What is the probability that Rosario gets the number
icang [17]
Part 1:the answer is 1/36
each time we roll the dice, the whole probabilities are 6
if we roll it two times
6*6=36

part 2

it's 1/8

each time we flip a coin, the whole probabilities are 2

if we flip it 3 times

2*2*2=8




good luck
5 0
3 years ago
PLEASE ANSWER ASAP !! Have till 11:59pm
Bond [772]

Step-by-step explanation:

you have the formula and the numbers. just calculate !

cost of membership

y = 100 - 0.02x

a)

for x = 2600

y = 100 - 0.02×2600 = 100 - 52 = $48

b)

the reduction element of the cost of membership is the

"- 0.02x" part.

we want to refuse the membership costs by $41, so

0.02x = 41

x = 41/0.02 = $2,050

c)

the same as b)

just now the membership costs need to be reduced to 0.

so, that means we need to reduce by $100 !

0.02x = 100

x = 100/0.02 = $5,000

3 0
2 years ago
Classify the following triangle. Check all that apply.
11Alexandr11 [23.1K]
That is an isosceles right triangle.  (Also known as a 45 45 90 triangle).


7 0
3 years ago
Read 2 more answers
Bartolo is running a race. He determines that if he runs at an average speed of 15 feet/second, he can finish the race in 6 seco
Gelneren [198K]

Answer:

C

Step-by-step explanation:

the distance is 15•6 = 18•5 = 90 feet

so, time needed = 90/30 = 3 second

7 0
3 years ago
Other questions:
  • What is the range and domain of: <br><br>y= 4|x|-1
    13·1 answer
  • Find the geometric mean of 125 and 5..
    11·2 answers
  • I really need help someone please
    9·1 answer
  • If the density of a 35.cm3 block of wood is .85 g./ml calculate the woods mass.
    11·1 answer
  • In the figure, point E is on line DG .
    11·1 answer
  • Factor the polynomial. 24w8 + 30w6
    7·2 answers
  • Sry i cant couse to us 100 points becuse i need them but first to answer correctly
    13·2 answers
  • Convert 4:1 into percentage​
    8·2 answers
  • 3. The measure of one angle is ten less than four times the measure of the other angle. The sum of the measures of the two angle
    7·1 answer
  • Divide rate 456/12 divided 12/12= ?/1
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!