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
aivan3 [116]
3 years ago
5

What’s the cosine of

Mathematics
1 answer:
Vsevolod [243]3 years ago
4 0

Answer:

√23/√45 or √23/3√5

Step-by-step explanation:

Cosine is adjacent over hypotenuse. Angle W has an adjacent side of WU(√23) and WV .You know the adjacent but not the hypotenuse, so you will use the formula a^2+b^2=c^2 to find the hypotenuse. Plug in the sides for A and B -> (√23)^2+(√22)^2=c^2. Simplify it --> 23+22=c^2 --> 45=c^2. Solve for C alone (not c^2). √45=c. Then use the cosine formula (adjacent/hypotenuse) to plug in the numbers.

You might be interested in
How many square yards of cement are needed to create the walkway around the rectangular pool?
sveticcg [70]
I would first cut off the ends that make a trapezoid and then find the area of the trapezoids and the area of the rectangles.
A trap = (1/2) * h *(b1 + b2)
A rect = L * W
A trap = (1/2) 4 * (6 + 14)
A = (1/2) * 4 * 20
A = 40 (there are 2 trapezoids) 40 * 2 = 80 yds^2
A rect = L * W
A = 12 * 4
A = 48 (there are 2 rectangles) 48 * 2 = 96 yds^2
80 + 96 = 176 yds^2
3 0
3 years ago
Read 2 more answers
An architect is designing a rectangular house that is 60 feet long and 40 feet wide. He uses of the area for the 1/4 living room
Lynna [10]

Answer:

6o×40=2400

area 1/4=2400÷4=600

area 1/6=600÷6=100

(d)=100 ft2

5 0
3 years ago
Suppose that $4000 is placed in a savings account at an annual rate of 6.4%, compounded quarterly. Assuming that no withdrawals
s2008m [1.1K]

Answer:

3.25 years (nearest hundredth)

Step-by-step explanation:

<u>Compound Interest Formula</u>

\large \text{$ \sf A=P\left(1+\frac{r}{n}\right)^{nt} $}

where:

  • A = final amount
  • P = principal amount
  • r = interest rate (in decimal form)
  • n = number of times interest applied per time period
  • t = number of time periods elapsed

Given:

  • A = $4916
  • P = $4000
  • r = 6.4% = 0.064
  • n = 4 (quarterly)

Substitute the given values into the formula and solve for t:

\implies \sf 4916=4000\left(1+\frac{0.064}{4}\right)^{4t}

\implies \sf 4916=4000\left(1.016\right)^{4t}

\implies \sf \dfrac{4916}{4000}=\left(1.016\right)^{4t}

\implies \sf \dfrac{1229}{1000}=\left(1.016\right)^{4t}

\implies \sf \ln \left(\dfrac{1229}{1000}\right)=\ln \left(1.016\right)^{4t}

\implies \sf \ln \left(\dfrac{1229}{1000}\right)=4t \ln \left(1.016\right)

\implies \sf t=\dfrac{\ln \left(\frac{1229}{1000}\right)}{4\ln \left(1.016\right)}

\implies \sf t=3.247594892...

Therefore, it will take 3.25 years (nearest hundredth) for the account to grow to $4916.

Learn more about compound interest here:

brainly.com/question/27747709

brainly.com/question/27806277

8 0
2 years ago
Simplify the expression please
Zolol [24]

Answer: 6.75

Step-by-step explanation:

|6.75| = the absolute value of 6.75. The absolute value of a number is its distance from 0, which will always be positive. So |6.75| = 6.75.

8 0
3 years ago
Read 2 more answers
△STR≅△LMN, SR=7b+8, and LN=11b−12. Find b and SR.
Goryan [66]

Given:

\Delta STR\cong \Delta LMN

SR=7b+8

LN=11b-12

To find:

The value of b and SR.

Solution:

We have,

\Delta STR\cong \Delta LMN                          (Given)

ST\cong LN                                  (CPCTC)

ST=LN

Substituting the given values, we get

7b+8=11b-12

7b-11b=-8-12

-4b=-20

Divide both sides by -4.

\dfrac{-4b}{-4}=\dfrac{-20}{-4}

b=5

Now,

SR=7b+8

SR=7(5)+8

SR=35+8

SR=43

Therefore, the value of b is 5 and the measure of SR is 43 units.

6 0
3 years ago
Other questions:
  • A computer manufacturer releases a new laptop model. The total sales of this computer can be modeled by the function S(t)=75/1+5
    5·2 answers
  • The corporate team-building event will cost $14 if it has 7 attendees. If there are 9
    7·1 answer
  • What is 4/5 of 45 equle
    13·2 answers
  • Find sum of 15/8-(-1/5)​
    12·1 answer
  • What is the missing reason in Step 8? 
    9·1 answer
  • Find the greatest 4 digit number which becomes divisible by 24 and 28 when 100 is added to it
    14·2 answers
  • 50 points!!
    8·1 answer
  • Converd improper fraction into mixed fraction 3/20​
    8·1 answer
  • PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
    15·2 answers
  • PLS HELP WILL GIVE BRAINLIEST
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!