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3 years ago

6

7: Which of the following numbers is smallest?

2 answers:

iogann1982 [59]3 years ago

6 0

Answer:

d) 0.712

Step-by-step explanation:

Your question isn't clear, so my answer may be wromg

laiz [17]3 years ago

5 0

It’s d it’s the smallest

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Brett has $50 in a savings account. The interest rate is 10% per year and is not compounded. What is the amount of interest in o

adell [148]

Answer:

$5 interest

Step-by-step explanation:

I=prt

I=50*0.1*1

I=50*0.1

I=5

So Brett will make $5 worth of interest in 1 year

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4 years ago

Measure the diameter of the quarter to the nearest eighth of an inch. (Hint: The diameter is the length of the quarter, going th

Katena32 [7]

Answer:

5/8

Step-by-step explanation:

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3 years ago

What is the length of x in the triangle shown

ivann1987 [24]

Since this is a right triangle the angle opposite the side 17 is also 45°

So this can be solved in two ways...

The Law of sines...

x/sin90=17/sin45

x=17/sin45

x≈24.04 to nearest hundredth

or by realizing that both sides are 17 because they are both opposite 45° angles then the hypotenuse x is

x=√(2*17^2)

x=√578

x≈24.04

8 0

3 years ago

If sin theta = 2/3 and sex theta < 0 , find cos theta and tan theta

FromTheMoon [43]

Answer:

$\displaystyle cos\theta=-\frac{\sqrt{5}}{3}$

$\displaystyle tan\theta=-\frac{2\sqrt{5}}{5}$

Step-by-step explanation:

<u>Trigonometric Formulas</u>

To solve this problem, we must recall some basic relations and concepts.

The main trigonometric identity relates the sine to the cosine:

$sin^2\theta+cos^2\theta=1$

The tangent can be found by

$\displaystyle tan\theta=\frac{sin\theta}{cos\theta}$

The cosine and the secant are related by

$\displaystyle cos\theta=\frac{1}{sec\theta}$

They both have the same sign.

The sine is positive in the first and second quadrants, the cosine is positive in the first and fourth quadrants.

The sine is negative in the third and fourth quadrants, the cosine is negative in the second and third quadrants.

We are given

$\displaystyle sin\theta=\frac{2}{3}$

Find the cosine by solving

$sin^2\theta+cos^2\theta=1$

$\displaystyle \left(\frac{2}{3}\right)^2+cos^2\theta=1$

$\displaystyle cos^2\theta=1-\left(\frac{2}{3}\right)^2=1-\frac{4}{9}=\frac{5}{9}$

$\displaystyle cos\theta=\sqrt{\frac{5}{9}}=-\frac{\sqrt{5}}{3}$

$\boxed{\displaystyle cos\theta=-\frac{\sqrt{5}}{3}}$

We have placed the negative sign because we know the secant ('sex') is negative and they both have the same sign.

Now compute the tangent

$\displaystyle tan\theta=\frac{sin\theta}{cos\theta}=\frac{\frac{2}{3}}{-\frac{\sqrt{5}}{3}}=-\frac{2}{\sqrt{5}}$

Rationalizing

$\displaystyle tan\theta=-\frac{2}{\sqrt{5}}=-\frac{2\sqrt{5}}{5}$

$\boxed{\displaystyle tan\theta=-\frac{2\sqrt{5}}{5}}$

5 0

4 years ago

A truck driver drives 2,580 miles in 40 hours. He drives the same number of miles each hour. How many miles does he drive each h

Zina [86]

Answer:

64.5

Step-by-step explanation:

2,580 ÷ 40= 64.5 mls per hour

6 0

3 years ago