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vladimir2022 [97]
2 years ago
15

For triangle ABC, a = 79, b = 68, c = 61, then M∠A= ___ °Round answer to one decimal place.

Mathematics
1 answer:
Nikolay [14]2 years ago
7 0

Given a triangle ABC below

To find the value of m∠A, we use the cosine formula which is

\cos A=\frac{b^2+c^2-a^2}{2bc}

Where

\begin{gathered} a=79 \\ b=68 \\ c=61 \end{gathered}

Substitute the values into the cosine formula above

\begin{gathered} \cos A=\frac{b^2+c^2-a^2}{2bc} \\ \cos A=\frac{68^2+61^2-79^2}{2(68)(61)} \\ \cos A=\frac{2104}{8296} \\ \cos A=0.2536 \\ A=\cos ^{-1}(0.2536) \\ A=75.3\degree\text{ (one decimal place)} \end{gathered}

Hence, m∠A is 75.3° (one decimal place)

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Please need help with #1 it is so confusing
vfiekz [6]

Answer: circle 2 and 5

Step-by-step explanation:

The problem is asking which number can 428 by divided by evenly.

Step 1: 428 divided by 2 is 214 Since it was evenly divided, you circle 2. It is the same for 4.

Step2: Keeping dividing each of the numbers to see if 428 can by divided by the number. If the answer comes out as a decimal number than don’t circle.

7 0
3 years ago
A rounded number for the speed of an insect Is 5.67 meters per second.What are the fastest and slowest speeds to the thousandths
zepelin [54]
Slowest- 5.665 because it is 5 so it will round up.
Fastest- 5.669 will also round up to the nearest hundredth which is 5.67
3 0
4 years ago
Please help due tomorrow please explain if can
Vadim26 [7]

Answer:

16) 9ft, C

17) 1440 cm^3, D

18) 314 m^2, B

Step-by-step explanation:

16) 18 / 6 = 27 / x

18x = 162

x = 9 (C)

17) 24 / 1,920 = 18 / x

24x = 34,560

x = 1440 (D)

18) Surface Area of a sphere = 4 * pi * radius^2 (4r^2)

SA = 4pi(5)^2

SA = 4pi25

SA = 100pi

SA = 100(~3.14)

SA = 314 (B)

5 0
3 years ago
Find the value of side a on the right triange, given that side B=12cm and side C=15cm
docker41 [41]
Use Pythagoras's theorem.
a^{2} + b^{2} = c^{2}

Now, minus 12 from 15:
15 - 12 = 3,
which you need to square.
So the length of a = 9cm.

You can also do:
\sqrt{15^{2} - 12^{2} }
Which gets 9.

Hope this helps.

3 0
3 years ago
you have 3.75 to spend at a vending machine. You want to buy at least three health bars. Regualr health bars cost 0.75 each and
DedPeter [7]

Answer:

Let x be the number of regular health bars you buy and y the number of strawberry health bars you buy. Then:

0.75x+1.25y=3.75

x+y>=3

Step-by-step explanation:

For the first equation, we have to assume that you will spend all of your money, otherwise it becomes an inequation. The money you spend on regular bars is 0.75x dollars and the money you spend on strawberry bars is 1.25y, so if you spend your 3.75 dollars on the bars, then 0.75x+1.25y=3.75.

For the second, you will always buy x+y health bars, regular and strawberry. There isn't enough information to make this into a equation, the only thing we can deduce is the inequation x+y>=3.

If we also assume that x and y are integers (we can't buy half-bars or one-fourth of a bar) then the minimum number of bars we can buy is 3 (3 strawberry bars) and the maximum is 5 bars (5 regular bars). x+y must be an integer too, so the possibilities for the second equation are x+y=3, x+y=4 and x+y=5. There is a finite number of solutions in any case.  

4 0
3 years ago
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