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faust18 [17]
3 years ago
12

Given the triangle below, what is m A. 46.2 B. 41.40 C. 48.4 D. 38.6°

Mathematics
1 answer:
Brrunno [24]3 years ago
5 0

Answer:

B 41.4

Step-by-step explanation:

complete Pythagoras for general triangles :

c² = a² + b² - 2ab×cos(C)

with "c" being the side opposite of the angle C.

=>

8² = 10² + 12² - 2×10×12×cos(C)

64 = 244 - 240×cos(C)

240×cos(C) = 244 - 64 = 180

cos(C) = 180/240 = 18/24 = 3/4 = 0.75

C = 41.40962211... ≈ 41.4

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Evaluate each expression for w=5, x=3, y=4 and z=8.<br> 3y+6/2x
Aliun [14]
Plug in your numbers so the equation will turn out to be 3(4)+6/2(3) , you need to simplify 6/2 which will be 3 and 3 times 3 = 9 so the equation will be 3(4)+9 and 3 times 4 = 12 so the equation will now be 12+9 = 21
Answer= 21
4 0
3 years ago
What is the sample space for the event of flipping a coin and then spinning a four-part spinner, numbered 1, 2, 3, 4?
Anastasy [175]

Answer:it is 2 since it include3s all possible answers for both heads & tails.

Step-by-step explanation:

you can get a H1-4 & a T1-4 since you have 4 parts one the spinner & 2 things on a coin (Heads & tails) you can <u>just times 4*2 & know that you have 8 possible answers.</u>

8 0
3 years ago
A detective has interviewed four witnesses to a crime. From the stories of the witnesses the detective has concluded
SVETLANKA909090 [29]

Answer:

Step-by-step explanation:

Step 1:we should turn the “facts” into logical expressions.

Step 2:Assign variables

Our variables are: b (for butler), c (for cook), g (for gardener), h (for handyman)

Step 3 . Let the value of true indicate that the person is telling the truth. For example, b = T means the butler is telling the truth. Then we can translate the statements as follows:

Check attachment

Step 4

We know all of these must hold. So we really want to know when (b→c)∧¬(c∧g)∧¬(¬g∧¬h)∧(h → ¬c) is true.

Step 5

Behold, another truth table task! If you work out the truth table, you see that this statement is only true when:

Check attachment

Step 6

Therefore we can say the butler and cook are definitely lying, but we can not determine if the gardener or handyman are lying. However, there are four variables in this problem. Instead, we can do this with some straight reasoning. Notice that:

If the butler is telling the truth, then by (a) the cook is telling the truth.

If the cook is telling the truth, then by (b) the gardener is lying.

If the gardener is lying, then by (c) the handyman is telling the truth.

If the handyman is telling the truth, they by (d) the cook is lying.

This leads to a contradiction (the cook can not be both telling the truth and lying)! Therefore the butler and cook must be lying. What about the gardener and the handyman? We don’t have enough information to figure out if they are lying. Since the cook is lying, we can’t use (b) to come to any conclusions about the gardener. Even if we are able to conclude that the gardener is telling the truth, we can’t use (c) to come to any conclusions about the handyman.

4 0
3 years ago
What is the slope of the line that passes through the points ( 8 , − 6 ) and (8,−9)? Write your answer in simplest form.
Natalka [10]

Answer:

No slope

Step-by-step explanation:

The points given are on the vertical line x = 8

   vertical lines have an 'undefined' slope....no slope

4 0
2 years ago
Find an equation in slope intercept form of the line that has a slope of -8 and passes through point A (1,5)
ollegr [7]

Answer:

8x+y-13=0

Step-by-step explanation:

let the given point be

A(1,5)=(x1,y1)

slope(m)= -8

then,equation of straight line is,

(y-y1)=m(x-x1)

(y-5)= -8(x-1)

y-5= -8x+8

8x+y-5-8=0

therefore,8x+y-13=0 ..........(i) is the required equation.

3 0
3 years ago
Read 2 more answers
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