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4 years ago

Use benchmarks to estimate 16.8-5.94

1 answer:

7 0

The estimated answer is 11. First you round 16.8 to 17 because the decimal is above 5. Then you round 5.94 to 6 because the first decimal place is greater than 5. Lastly you subtract 17 minus 5 to get 11.

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Given a voltage of 80 volts and a current of 5 amps, what is the resistance?

Natasha_Volkova [10]

Resistance = Volt/current
80/5 = 16
The answer is 16 ohms

6 0

3 years ago

Evaluate exactly without the use of a calculator (remember to rationalize any denominators). a.(cos 60o)(sin 270o) + tan 225o b.

Rom4ik [11]

Given:

The trigonometric expressions are given as,

$\begin{gathered} a)\text{ }(\cos 60\degree)(\sin 270\degree)+\tan 225\degree \\ b)-\tan 240\degree+(cos45\degree)(\sec 135\degree) \end{gathered}$

Explanation:

The given expression can be rewritten as,

$=(\cos 60\degree)(\sin (360\degree-90\degree))+\tan (270\degree-45\degree)\text{ . . . . .(1)}$

Since, from the trigonometric ratios,

$\begin{gathered} \sin (360\degree-90\degree)=-\sin 90\degree \\ \tan (270\degree-45\degree)=\cot 45\degree \end{gathered}$

On plugging the obtained ratios in equation (1),

$=(\cos 60\degree)(-\sin 90\degree)+\cot 45$

Substitute the trigonometric values in the above equation.

$\begin{gathered} =\frac{1}{2}(-1)+1 \\ =-\frac{1}{2}+1 \\ =\frac{1}{2} \end{gathered}$

Hence, the exact value of the expression is 1/2.

The given expression can be rewritten as,

$=-\tan (270\degree-30\degree)+(\cos 45\degree)(\sec (90\degree+45\degree))\text{ . . . ..(2)}$

Since, from the trigonometric ratios,

$\begin{gathered} \tan (270\degree-30\degree)=\cot 30\degree \\ \sec (90\degree+45\degree)=-\csc 45\degree \end{gathered}$

On plugging the obtained ratios in equation (2),

$=-\cot 30\degree+(\cos 45\degree)(-\csc 45)$

Substitute the trigonometric values in the above equation.

$\begin{gathered} =-\sqrt[]{3}+\frac{1}{\sqrt[]{2}}(-\sqrt[]{2}) \\ =-\sqrt[]{3}-1 \end{gathered}$

Hence, the exact value of the expression is -√3-1.

7 0

2 years ago

4x - 2y = -8<br> y = 2x + 4<br> Need help show work

Kruka [31]

Answer:

4x - 2y = -8--------equation 1

y = 2x + 4

or, -2x+y=4---------equation 2

multiply equation 2 by 2 and solving equation 1and2 we get,

4x - 2y = -8

-4x+2y=8

---------------=

impossible

8 0

3 years ago

7. A photograph negative measures 15 inches by

ella [17]

Answer:

First we need to set a proportion

Currently the negative measures 15 inches by 2 inches. And the longer dimension of the printed version is 4 inches. Therefore:

$\frac{2}{y} = \frac{15}{4}$

$15y = 8$

$y = 0.5333$

Therefore, the dimension of the shorter dimension is 0.5333.

None of the options matches this response, so maybe you forgot to add some information?

8 0

3 years ago

Order them from least to greatest please! This assignment is due at 3:30 pm and it’s 75% of my grade.

rosijanka [135]

Answer:

-9/25, -0.3, square root 24, 4.92

Step-by-step explanation:

3 0

4 years ago