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Novosadov [1.4K]
3 years ago
8

The value of √222 is between which two integers?

Mathematics
1 answer:
Dmitry_Shevchenko [17]3 years ago
7 0
14 = √196
15 = √225

√196 < √222 < √225
    14 < √222 <  15

<span>b) between 14 and 15</span>
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Law of sines: StartFraction sine (uppercase A) Over a EndFraction = StartFraction sine (uppercase B) Over b EndFraction = StartF
Firdavs [7]

The length 2.3 and 7.8 units

We have given that ΔABC, c = 5. 4, a = 3. 3, and measure of angle A = 20 degrees.

<h3>What is the formula for low of cosine?</h3>

The Law of Cosines, which tells us

a^{2}=b^{2} +c^{2} -2bccosA

giving us a quadratic equation for b we can solve.  But let's do it with the Law of Sines as asked.

\frac{sinA}{a}=\frac{sinB}{b}=\frac{sinC}{c}

We have c,a,A so the Law of Sines gives us sin C

sinC=\frac{csina}{a} =\frac{5.4sin20}{3.3} =0.5597

There are two possible triangle angles with this sine, supplementary angles, one acute, one obtuse

C_{a}=arcsin(0.5597)=34.033^{0}

C_{0}=180-C_{a}  =145.96^0

Both of these make a valid triangle with A=20°.   They give respective B's:

B_{a}=180-A-C_{a}  =125.96^0

B_{0}=180-C_{0}  =14.033^0

So we get two possibilities for b:

b=\frac{asinB}{sinA} \\\\b_{a} =\frac{3.3sin125.96}{sin 20} \\\\b_{a}=7.8\\\\ b_0=2.3

2.3 units and 7.8 units

Therefore we get the length 2.3 and 7.8 units

To learn more about the low of sine and cosine visit:

brainly.com/question/4372174

Answer: 2.3 units and 7.8 units

Let's check it with the Law of Cosines:

There's a shortcut for the quadratic formula when the middle term is 'even.'

Looks good.

4 0
2 years ago
Noah has meter of rope . How many pieces of rope of length 1/2 meter can he cut from it ? Draw a diagram to illustrate your solu
muminat
2? if he had only one meter that would be correct
5 0
3 years ago
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Slope-intercept form of Slope = -9/5, y-intercept = -4
Brilliant_brown [7]

Answer:

y = - \frac{9}{5} x - 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - \frac{9}{5} and c = - 4 , thus

y = - \frac{9}{5} x - 4 ← equation of line

7 0
2 years ago
Read the excerpt from "Introduction to Poetry" by Billy Collins.
Liono4ka [1.6K]

Answer: A

Step-by-step explanation:

when thinking about the figurative language we understand that you have to dig deeper for the answer just like poems lol, but the answer is A because when he says they are beating it with a hose to find out what it truly means it makes sense to criticize the way some readers try and understand poems. plus i got it right on the test kisses :)

if you want please mark me brain list :))))))

3 0
2 years ago
Read 2 more answers
Order the following list of numbers from least to greatest <br>V35, 5.7, 17/3, 5.83<br>​
irina1246 [14]

Answer:  

17/3, 5.7, 5.83, √35.

Step-by-step explanation:

√35, 5.7, 17/3, 5.83

√35 = 5.916

5.7 = 5.700

17/3 =  5.667

5.83 = 5.830.

So the answer is  17/3, 5.7, 5.83, √35.

​

8 0
3 years ago
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