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3 years ago

What is the exact value of cos 45° as found on the unit circle?

1 answer:

Ber [7]3 years ago

4 0

The exact value of cos 45 as per the special triangle would be

Cos 45 = 1/✔️2

Rationalizing the denominator gives

✔️2/2 = 0.707.

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A. Left skewed b. Right skewed C. Symmetric d. Symmetric with outliers

mote1985 [20]

Answer:

1. a: left skewed

2. c: symmetric

6 0

3 years ago

What is the total price of a boat with an original price of 12916$, if it is sold at a 15% discount? The sales tax rate is 3

Dmitriy789 [7]

Answer:

$11390.30

Step-by-step explanation:

Discount

12916 x 0.15 = 1937.4

Discounted price

12916 - 1937.4 = 10978.6

Tax of 3 and 3/4 percent which I think is 0.0375

10978.6 x 0.0375 = 411.6975

Total

10978.6 + 411.6975 = $11390.2975

7 0

2 years ago

An inheritance of $40,000 is divided among three investments yielding $3,500 in interest per year. The interest rates for the th

a_sh-v [17]

Answer:

x = $ 16,000 , y = $13,000 z= $11,000

Step-by-step explanation:

given,

Investment amount $40,000

three investments yielding = $3,500

three investments are 7%, 9%, and 11%

second and third are $3,000 and $5,000 less than the first

0.07 x + 0.09 y + 0.11 z = $ 3,500

x + (x - 3000 ) + (x - 5000) = $ 40,000

3x = $48,000

x = $ 16,000

y = 16000 - 3000 = $ 13,000

z = 16000 - 5000 = $ 11,000

the investment by each

x = $ 16,000 , y = $13,000 z= $11,000

4 0

3 years ago

Find the TWO integers whos product is -12 and whose sum is 1

Deffense [45]

Answer:

$\rm Numbers = 4 \ and \ -3.$

Step-by-step explanation:

Given :-

The sum of two numbers is 1 .

The product of the nos . is 12 .

And we need to find out the numbers. So let us take ,

First number be x

Second number be 1-x .

According to first condition :-

$\rm\implies 1st \ number * 2nd \ number= -12\\\\\rm\implies x(1-x)=-12\\\\\rm\implies x - x^2=-12\\\\\rm\implies x^2-x-12=0\\\\\rm\implies x^2-4x+3x-12=0\\\\\rm\implies x(x-4)+3(x-4)=0\\\\\rm\implies (x-4)(x+3)=0\\\\\rm\implies\boxed{\red{\rm x = 4 , -3 }}$

Hence the numbers are 4 and -3

4 0

3 years ago

Read 2 more answers

a wagon is pulled at speed of 40.0 m/s by a horse exerting 1800 newton horizonal force what is the power of horse

Sonbull [250]

Answer:

The power of horse is: P = 72000 W

Step-by-step explanation:

Given

F = 1800 N

v = 40.0 m/s

To determine

P = ?

Using the formula

$\:\:\:P=\overrightarrow{F\cdot }\overrightarrow{v}$

The ⋅ in the formula represents a scalar product, defined by:

$\overrightarrow{v\cdot }\overrightarrow{w}=|v||w|cos\:\theta$

The angle Ф is zero because F and v are are parallel.

Thus the cosine is 1.

Therefore,

P = (1800) (40.0)

P = 72000 W

Hence, the power of horse is: P = 72000 W

3 0

3 years ago