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just olya [345]
4 years ago
5

Can anybody help me on this please I will be giving 15 points..

Mathematics
2 answers:
oksano4ka [1.4K]4 years ago
4 0

Answer:

BC=\sqrt{95}

Angle A (or BAC)=54.31466...

Angle C (or ACB)=35.68533...

Step-by-step explanation:

\frac{7}{\sin \left(\angle \:ACB\right)}=\frac{12}{\sin \left(90\right)}

BC=\sqrt{12^2-7^2}

\sqrt{12^2-7^2}=\sqrt{95}

\frac{\sqrt{95}}{\sin \left(\angle \:BAC\right)}=\frac{12}{\sin \left(90\right)}\quad :\quad \angle \:BAC=54.31466

\frac{7}{\sin \left(\angle \:ACB\right)}=\frac{12}{\sin \left(90\right)}\quad :\quad \angle \:ACB=35.68533

givi [52]4 years ago
4 0

Using the pythagorean theorem

AC^2=AB^2+BC^2\\BC=\sqrt{AC^2-AB^2}\\BC=\sqrt{12^2-7^2}\\BC=\sqrt{144-49}\\BC=\sqrt{95}

sin A=\frac{BC}{AC}=\frac{\sqrt{95} }{12}\\A = sin^{-1}(\frac{\sqrt{95} }{12})\\A = 54.31

A + C = 90\\C = 90-A\\C= 90- 54.31\\C = 35.69

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What should be the next number in the following series? 100 96 104 88 120 56 _ ?_
8090 [49]

Answer:

  • <em>The next number in the series 100, 96, 104, 88, 120, 56, ... is</em>: <u>184</u>

Explanation:

1) You need to try to find a pattern in the given sequence, so that you can conclude a rule to determine each number in the sequence.

2) The first logical approach to find such pattern is to find the differences between any pair of consecutive numbers. That leads you to this:

  • 96 - 100 = - 4
  • 104 - 96 = 8
  • 88 - 104 = - 16
  • 120 - 88 = 32
  • 56 - 120 = - 64

3) From that, you can see that the difference between two consecutive numbers is scaled by a factor of - 2. That is shown here:

  • First difference = - 4
  • Second difference = 8 = - 4 ( - 2)
  • Third difference = - 16 = 8 (- 2)
  • Fourth difference = 32 = - 16 ( - 2)
  • Fifth difference = - 64 = 32 ( - 2)

4) Therefore, in words, the rule is "add (- 2) times the previous difference", which is:

  • - 64 ( -2) = + 128

         ⇒ 56 + 128 = 184.

         ⇒ Answer: the next number is 184.

4 0
3 years ago
Stem<br> a<br> choice<br><br> b<br> choice<br><br> c<br> choice<br><br> d<br> choice
MissTica
C is the answer for sure
8 0
3 years ago
Find the equation of the line parallel to -5x+2y=12 and through (10,21)
Ksivusya [100]

y=5/2x-4

Step-by-step explanation:

im pretty sure

8 0
3 years ago
Read 2 more answers
Please help me asap!
Nata [24]

Answer:

m∠BAC=45°

Step-by-step explanation:

Firs we graph the given points to see the shape of triangle.

We can clearly see that triangle BAC is a right angle triangle whose sides BA and BC both are equal to 4 units.

We know that equal sides of triangle corresponds to equal angles.

Hence

∠A = ∠C ...(i)

We know that sum of all three angles of a triangle is 180°. So we can write

∠A + ∠B + ∠C=180°

∠A + ∠B + ∠A=180°   {from (i) }

∠A + 90° + ∠A=180°   {∠B is right angle}

2∠A + 90° =180°  

2∠A = 90°

divide both siide by 2

∠A = 45°

∠A and ∠BAC are same

Hence

m∠BAC=45°

7 0
3 years ago
A. 312<br> b. 317<br> c. 315<br> d. 316
Soloha48 [4]

Answer:

B.) 317

Step-by-step explanation:

100/2 = 50

124/2 = 62

180/2 = 90

634/2 = 317

5 0
3 years ago
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