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3 years ago

5

What’s the cosine of

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.

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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