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Bezzdna [24]
3 years ago
5

What is 1.16 rounded to the nearest tenths?

Mathematics
2 answers:
makkiz [27]3 years ago
6 0

Answer:

To round up 1.16 to the nearest term is 1.2.

You have to round up the 6 so has to be added to 1.

lesya [120]3 years ago
5 0
The answer is 1.2

You want to round to the tenths, and the tenths spot is taken by a 1.
So, you use the 6 (in the hundredths spot) and since it is over 5, you boost it up.
The 1 will now become a 2, so the answer is 1.2.
A helpful phrase I use is “five or above, give it a shove. Four or below, keep it low.”
:) hope i helped :)
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Write each expression as an algebraic​ (nontrigonometric) expression in​ u, u > 0.
max2010maxim [7]

Answer:

\displaystyle \sin\left(2\sec^{-1}\left(\frac{u}{10}\right)\right)=\frac{20\sqrt{u^2-100}}{u^2}\text{ where } u>0

Step-by-step explanation:

We want to write the trignometric expression:

\displaystyle \sin\left(2\sec^{-1}\left(\frac{u}{10}\right)\right)\text{ where } u>0

As an algebraic equation.

First, we can focus on the inner expression. Let θ equal the expression:

\displaystyle \theta=\sec^{-1}\left(\frac{u}{10}\right)

Take the secant of both sides:

\displaystyle \sec(\theta)=\frac{u}{10}

Since secant is the ratio of the hypotenuse side to the adjacent side, this means that the opposite side is:

\displaystyle o=\sqrt{u^2-10^2}=\sqrt{u^2-100}

By substitutition:

\displaystyle= \sin(2\theta)

Using an double-angle identity:

=2\sin(\theta)\cos(\theta)

We know that the opposite side is √(u² -100), the adjacent side is 10, and the hypotenuse is u. Therefore:

\displaystyle =2\left(\frac{\sqrt{u^2-100}}{u}\right)\left(\frac{10}{u}\right)

Simplify. Therefore:

\displaystyle \sin\left(2\sec^{-1}\left(\frac{u}{10}\right)\right)=\frac{20\sqrt{u^2-100}}{u^2}\text{ where } u>0

4 0
3 years ago
THESE ARE SEPARATE QUESTIONS THAT I DECIDED TO COMBINE:
saul85 [17]

1).  Her walking pace is  (1.75 miles) / (50 minutes).

If you want it in units of (miles per hour), do it like this:

               (1.75 miles / 50 minutes) x (60 minutes / 1 hour)

           =  (  1.75 x 60 / 50 ) miles per hour.

2).  The average change was 

                         (30 - 45) degrees  / (5 minutes) .

I'm sure you can do the division and make an integer out of that.

3).  Each bracelet cost $3.10.
Caroline bought five of them, so she spent $3.10 five times.
Either do the multiplication, or else write down $3.10 five times
and do the addition.

4).  In order to factor the expression, the two terms would need
to have some common factor ... both terms need either a power
of 'x', or they need two numbers that have a common factor.
They don't both have an 'x', and 13 and 10 have no common factor.

5).  Todd earned 'T' dollars.
Twice what Todd earned is  2T .
$350 more than that is   2T+350 .
The question says that 2,500 is exactly that amount,
so you can write
                                                  2T + 350 =  2,500

Subtract 350 from each side:    2T           =  2,150

Divide each side by  2:              (you can finish it now)

8 0
4 years ago
Suppose the probability of an IRS audit is 1.5 percent for U.S. taxpayers who file form 1040 and who earned $100,000 or more.
sp2606 [1]

Answer:

(A) The odds that the taxpayer will be audited is approximately 0.015.

(B) The odds against these taxpayer being audited is approximately 65.67.

Step-by-step explanation:

The complete question is:

Suppose the probability of an IRS audit is 1.5 percent for U.S. taxpayers who file form 1040 and who earned $100,000 or more.

A. What are the odds that the taxpayer will be audited?

B. What are the odds against such tax payer being audited?

Solution:

The proportion of U.S. taxpayers who were audited is:

P (A) = 0.015

Then the proportion of U.S. taxpayers who were not audited will be:

P (A') = 1 - P (A)

        = 1 - 0.015

        = 0.985

(A)

Compute the  odds that the taxpayer will be audited as follows:

\text{Odds of being Audited}=\frac{P(A)}{P(A')}

                                    =\frac{0.015}{0.985}\\\\=\frac{3}{197}\\\\=0.015228\\\\\approx 0.015

Thus, the odds that the taxpayer will be audited is approximately 0.015.

(B)

Compute the odds against these taxpayer being audited as follows:

\text{Odds against Audited}=\frac{P(A')}{P(A)}

                                    =\frac{0.985}{0.015}\\\\=\frac{3}{197}\\\\=65.666667\\\\\approx 65.67

Thus, the odds against these taxpayer being audited is approximately 65.67.

8 0
3 years ago
Factor the following expression using the GCF: 10ab + 20.
Lostsunrise [7]
The first one is 10ab + 20
3 0
3 years ago
Read 2 more answers
An item costs $330 before tax, and the sales tax is $23.10 . find the sales tax rate. write your answer as a percentage.
ad-work [718]
Divide sales tax amount over the item's cost
23.1 / 330 = 0.07
Therefore the sales tax is 7%
3 0
3 years ago
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