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Klio2033 [76]
3 years ago
5

Which is the best approximation for the measure of angle ABC?

Mathematics
1 answer:
qwelly [4]3 years ago
8 0

Answer:

58.3°

Step-by-step explanation:

Missing Information:

In this question the diagram is missing Following are the attachment of diagram of the given question.

As we seen that the vertex c is making the right angle i,e 90°  also there is an acute angle the Hypotenuse: 20 cm and the perpendicular is 10.5 cm

Now we have find the best approximation of the angle ABC used the cosx  trigonometric function.

cos\ x\ =\ \frac{perpendicular}{Hypotenuse} \\

Putting the value of perpendicular and hypotenuse in the previous formula we get

cos\ x\ =\ \frac{10.5\ cm}{20\ cm} \\

x\ =cos^{-1}\  0.525\\x \ = \ 58.33

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Using the solubility curve, choose all of the statements that are correct.
irinina [24]

Answer:

See explanation below

Step-by-step explanation:

According to the solubility curve attached, let's analyze each sentence to see which one is correct:

<u>"Solubility of NaCl is least affected by temperature"</u>

True. as you can see in the curve, solubility of NaCl remains almost constant at any value of temperature, so in this case, it does not matter the temperature, the NaCl solubility will be the same.

<u>"completely dissolve 60 g of KBr in 100 g of water at 20 °C"</u>

True. As you can see in the graph, solubility of KBr begins at 60 g, so in 20 °C we have something dissolved there. Actually you have like 70 g dissolved there, so, this is true.

<u>"The solubility of KNO3 is the least affected by changes in temperature"</u>

False. The curve for KNO3 is exponencial, so, changes in temperature do actually affect the solubility.

<u>"100 g of KBr will dissolve completely in 100 g of water at 75 °C"</u>

False. According to the curve, 100 g dissolve when we reach more than 100 °C. At 75 °C only about 85 g of KBr is dissolved.

<u>"if you mix 120 g of NaClO3 in 100 g of water at 10 °C, approximately 30 g will not dissolve"</u>

True. In the graph we can clearly see that at 10 °C only about 90 g is being dissolved so, the rest of the mass is still there as mass.

6 0
3 years ago
How many 5/8s are in 15/4​
Rudiy27

Answer:

6

Step-by-step explanation:

15/4 = 30/8

(30/8)/(5/8)

=6

7 0
4 years ago
What percent is equivalent to Two-thirds?
Talja [164]
To find the answer, divide.
2/3≈0.66666667
We know that 1/3 is .333333..., so .666666 is 2.3. To convert to a percent, we multiply by 100.
66.66666%
We can convert this .66666 back into 2/3.
66 2/3%
Therefore, our answer is
= 66 2/3%
I hope this helps!
5 0
3 years ago
Read 2 more answers
Pluto's distance P(t)P(t)P, left parenthesis, t, right parenthesis (in billions of kilometers) from the sun as a function of tim
Xelga [282]

Answer: P(t) = 1.25.sin(\frac{\pi}{3}.t) + 5.65

Step-by-step explanation: A motion repeating itself in a fixed time period is a periodic motion and can be modeled by the functions:

y = A.sin(B.t - C) + D or y = Acos(B.t - C) + D

where:

A is amplitude A=|A|

B is related to the period by: T = \frac{2.\pi}{B}

C is the phase shift or horizontal shift: \frac{C}{B}

D is the vertical shift

In this question, the motion of Pluto is modeled by a sine function and doesn't have phase shift, C = 0.

<u>Amplitude</u>:

a = \frac{largest - smallest}{2}

At t=0, Pluto is the farthest from the sun, a distance 6.9 billions km away. At t=66, it is closest to the star, P(66) = 4.4 billions km. Then:

a = \frac{6.9-4.4}{2}

a = 1.25

<u>b</u>

A time period for Pluto is T=66 years:

66 = \frac{2.\pi}{b}

b = \frac{\pi}{33}

<u>Vertical</u> <u>Shift</u>

It can be calculated as:

d = \frac{largest+smallest}{2}

d = \frac{6.9+4.4}{2}

d = 5.65

Knowing a, b and d, substitute in the equivalent positions and find P(t).

P(t) = a.sin(b.t) + d

P(t) = 1.25.sin(\frac{\pi}{3}.t) + 5.65

The Pluto's distance from the sun as a function of time is

P(t) = 1.25.sin(\frac{\pi}{3}.t) + 5.65

8 0
3 years ago
A rancher has 400 feet of fencing to put around a rectangular field and then subdivide the field into 3 identical smaller rectan
MAXImum [283]

Answer:

longer parallel sides are 150ft each with 4 shorter sides at 25ft each making a rectangle and 3 identical sections.

Step-by-step explanation:

150 + 150 = 300

4 ×25 = 100

300+100=400

5 0
3 years ago
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