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3 years ago

Given that cos 26 degrees= 0.899, write the sine of a complementary angle

1 answer:

5 0

Complementary = angle+other angle = 90 degrees

90-26(given)=64
There is only one complimentary angle to any other angle, so 64 is the only other one. Sin(64)=.899

Sin(64)=cos(26)
This is because cosine and sine are actually THE SAME. Cosine exists because there's sine. Cosine is sine moved over on a graph a bit. The sine of any angle, plus 90degrees (or pi/2) is equal to the cosine of that angle

Cos(x)=sin(x+90) <--degrees
Cos(x)=sin(x+pi/2) <-- radians(from unit circle)

Unit circle has 90 degrees at pi/2 which is why that works. Using a graphing calculator in degrees, you'd use the first equation I gave to prove that they're equal, and in radian mode, you'd use the second one. Cosine is Co in front of sine. Co meaning complimentary, which is why the problem equals each other when solved

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Simplified form the eaquation

IRINA_888 [86]

Answer: C

Step-by-step explanation: You want to find the square root of each number given. The square root of 400 is 20, and the square root of 100 is 10

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3 years ago

The temperature in Miami, Florida is 22 degrees warmer than three times the temperature in Bangor, Maine. The temperature in Mia

Nastasia [14]

Answer:

$y=\frac{x-22}{3} ; y=20$

Step-by-step explanation:

Let Temperature of Maimi $T_{m}$ and that of Bangor be $T_{b}$

Given in the condition is $T_{m}$ is 22 more than 3 times $T_{b}$

i.e. $T_{m}$ = 22+ 3 * $T_{b}$

Hence

$T_{m} - 22 = 3 * T_{b}$

$T_{b} = \frac{T_{m}-22}{3}$

Here also we are given that $T_{m}$ =82

$T_{b} = \frac{82-22}{3}$

$T_{b} = \frac{60}{3}$

$T_{b} = 20$

8 0

3 years ago

Read 2 more answers

Madi has $8.80 in pennies and nickels.

shepuryov [24]

Let p = number of pennies.
Let n = number of nickels.

We are given that n= 2p and the total value is $8.80.

We know that a penny = $0.01 and that a nickel = $0.05.

So $0.01p + $0.05n = $8.80.

Substitute 2p for n:
$0.01p + $0.05*2p = $8.80

$0.01p + $0.10p = $8.80

$0.11p = $8.80

p = 80
So n = 2p = 2*80 = 160

Thus there are 80 pennies ($0.8) and 160 nickels ($8.00). The value of all the coins is $8.80.

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3 years ago

The price of cappuccinos is $5.00 each. The price of pistachios is $1.00 per pound. If Curtiss has income of $32.00 and purchase

lutik1710 [3]

Answer:

curtiss can buy 7 pounds of pistachios

Step-by-step explanation:

5 cappuccinos x $5 = 25, 32 - 25=7

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3 years ago

Is it necessary to have a common denominator when you multiply two fractions? Explain.

Softa [21]

It is not necessary to have a common denominator when you multiply two fractions

<h3>How to determine the true statement?</h3>

The statement is about the relationship between the denominator of fractions when they are multiplied

Take for instance, we have the following fractions

a/b and x/y

In the above fractions, we have

Numerator = a and x

Denominator = b and y

Where b and y do not have the same value

When they are multiplied, we have

Product = ax/by

The denominators do not have the same value

And we were able to calculate the product

This means that the fraction denominator do not have to be common