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
Stells [14]
3 years ago
12

Q 1 PLEASE HELP ME FIGURE THIS OUT 2

Mathematics
1 answer:
dimulka [17.4K]3 years ago
3 0

Answer: \frac{\pi }{3}

<u>Step-by-step explanation:</u>

cot is \frac{cos}{sin} on the Unit Circle. When is cos = \frac{1}{2} and sin = \frac{\sqrt{3}} {2}?  In other words, where is the coordinate (\frac{1}{2},\frac{\sqrt{3}} {2}) on the Unit Circle?

It occurs at 60° = \frac{\pi }{3} radians

**************************************************************************************

Answer: cot θ

<u>Step-by-step explanation:</u>

  sec (90 - θ) * cos θ

= \frac{1}{cos (90 -\theta)} * cos θ

= \frac{cos\theta}{cos(90 - \theta)}

= \frac{cos\theta}{cos90*cos\theta+sin90*sin\theta}

= \frac{cos\theta}{0*cos\theta+1*sin\theta}

= \frac{cos\theta}{sin\theta}

= cot θ

**************************************************************************************

Answer: BC = √5, AC = 2√5

<u>Step-by-step explanation:</u>

\frac{\pi} {3} = 60°, which means ΔABC is a 30°-60°-90° triangle so we can use the side length formulas: x - x√3 - 2x.

∠C is the 60°. It matches to side AB so: AB = x√3 = √15   ⇒   x = √5

∠A is the 30°. It matches to side BC so: BC = x = √5

∠B is the 90°. It matches to side AC so: AC = 2x = 2(√5)  = 2√5

**************************************************************************************

Answer: k = 4, RS = 12, QS = 28

<u>Step-by-step explanation:</u>

\frac{QR}{MN} = \frac{RS}{NO}= \frac{QS}{MO}

\frac{24}{6} = \frac{RS}{3}= \frac{QS}{7}

proportionality constant k can be found with \frac{QR}{MN} = \frac{24}{6} = 4

\frac{QR}{MN} = \frac{RS}{NO}

→ 4 = \frac{RS}{3}

→ 4(3) = RS

→ 12 = RS

\frac{QR}{MN} = \frac{QS}{MO}

→ 4 = \frac{QS}{7}

→ 4(7) = QS

→ 28 = QS


You might be interested in
Is 10x+15 equivalent to 5(2x+3)
Alexeev081 [22]

Answer:

yes 10x+15 is equivalent to 5(2x+3)

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Given that a­­^b = x, evaluate the following:<br><br><br>2a^3b +a^2b +a^b
8090 [49]

Answer:

  2x^3 + x^2 + x

Step-by-step explanation:

For ...

a^{b}=x

The expression ...

2a^{3b}+a^{2b}+a^{b}

can be rewritten as ...

2(a^{b})^3+(a^b)^2+(a^b)=2x^3+x^2+x

5 0
3 years ago
X+y=5 <br> 3x-y=7 <br> solve this equation
motikmotik
The intercepts for x+y=5
X= (5,0)
Y= (0,5)
Slope is 3 and y intercept is (0,7)
8 0
1 year ago
Is 3.14 a rational or irrational
Karolina [17]

Answer:

Rational

Step-by-step explanation:

4 0
3 years ago
To calculate the density of an object,you wpuld?
il63 [147K]
It would be the mass divided by the volume

the equation is d = m/v from what i remember
5 0
2 years ago
Other questions:
  • How many real number solutoins does the equation have? -8x^2 + 8x - 2 = 0
    13·1 answer
  • A music teacher had six recorders but she decided to buy 4 more boxes with 2 in each box. How many recorders does she have now a
    8·1 answer
  • Twice a number is decreased by 20 is 50. What is the number?
    11·1 answer
  • How many pages can be wrote in 8 hours
    13·1 answer
  • Two hot air balloons are traveling along the same path away from a town beginning from different locations at the same time. Hen
    12·1 answer
  • Find the perimeter of the figure shown below.
    7·1 answer
  • Solve the literal equation: -24x-12=4y-12x
    9·1 answer
  • At a discount grocery store, Sally paid $0.80 for an 8-ounce bottle of spring water. What is the cost of the spring water per ou
    5·2 answers
  • Holt drove 99 kilometers with 9 liters of gas. How many kilometers can he drive with 12 liters of gas?
    14·2 answers
  • Dan is helping to build a stage for a concert.
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!