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Alex17521 [72]
3 years ago
6

Need Help....

Mathematics
2 answers:
natali 33 [55]3 years ago
5 0

Answer:

the \: expession \: is \: equivalent \: to \: 2

to \: know \: the \: solution \: with \: explanation

refer \: to \: the \: above \: attatchment

<h3>Carry on learning !! </h3>

Alecsey [184]3 years ago
3 0

If 0 < x < π/2, then both sin(x) and cos(x) are positive.

From the Pythagorean identity, we then have

cos²(x) + sin²(x) = 1

⇒   cos(x) = + √(1 - sin²(x))   and   sin(x) = + √(1 - cos²(x))

Then

√(1 - cos²(x))/sin(x) = sin(x)/sin(x) = 1

and

√(1 - sin²(x))/cos(x) = cos(x)/cos(x) = 1

so that the overall expression reduces to

1 - 1 = 0

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A company has developed a new type of light bulb, and wants to estimate its mean
BARSIC [14]

Answer:

628

Step-by-step explanation:

We have the standard deviation of the sample, so we use the t-distribution to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 12 - 1 = 11

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 11 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.95}{2} = 0.975. So we have T = 2.2

The margin of error is:

M = T\frac{s}{\sqrt{n}} = 2.2\frac{59}{\sqrt{12}} = 37

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 665 - 37 = 628 hours.

The answer is 628

4 0
3 years ago
Maura runs 5 miles in 1.25 hours. Ava runs 3 miles in 50 minutes, or 0.83 hour.
Jet001 [13]

Answer:

ava ran the fastest

Step-by-step explanation:

3 0
3 years ago
The short sides of a rectangle are 2 inches. The long sides of the same rectangle are three less than an unknown number of inche
Marat540 [252]

So remember that area of a rectangle is a = bh. In this case, our sides are 2 and n - 3 (three less than unknown number) and our area is 22. Using our info, we can form the equation: 22=2(n-3) . From here we can solve for n.

Firstly, foil 2(n-3): 22=2n-6

Next, add 6 on both sides of the equation: 28=2n

Next, divide both sides of the equation and your answer will be 14 = n. In context, the value of the unknown number is 14 in.

8 0
4 years ago
Read 2 more answers
In fig. AB = AC, D is the midpoint of BC.<br><br> (i)Is  ADB ADC (ii) Is ∠B =∠C?
dexar [7]

Answer:

(i) Yes

(ii) Yes

Step-by-step explanation:

We are given that

AB=AC

(i)D is the mid-point of BC

BD=DC

In triangle ADB and triangle ADC

AD=AD

Reason: Reflexive property

BD=DC

Reason:Given

AB=AC

Reason: Given

\triangleADB\cong\triangleADC

Reason:SSS postulate

Yes, triangle ADB is congruent to triangle ADC

(ii) Angle B=Angle C

Reason: CPCT

Yes , angle B=angle C

3 0
3 years ago
A high school track is shaped as a rectangle with a half circle on either side. A rectangle has a length of 85 yards and width o
jenyasd209 [6]

perimeter=2(85)+π(12.5)=220+2×12.5π

=170+25×3.14

=170+78.5

=248.5

distance ran=3×248.5=745.5 yards.

i hope this work for you

3 0
3 years ago
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