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Karolina [17]
3 years ago
12

Abc is a triangle, ac=19cm bc=17cm and angle bac=60 degrees. calculate the size of angle abc? answer

Mathematics
1 answer:
Sphinxa [80]3 years ago
3 0
\frac{|AC|}{sin\angle ABC}=\frac{|BC|}{sin\angle BAC}\\\\|AC|=19cm;\ |BC|=17cm;\ |\angle BAC|=60^o;\ |\angle ABC|=x\\\\\frac{19}{sinx}=\frac{17}{sin60^o}\\\\cross\ multiply\\\\17sinx=19sin60^O\\\\17sinx=19\cdot\frac{\sqrt3}{3}\ \ \ \ /:17\\\\sinx=\frac{19\sqrt3}{51}\\\\sinx\approx0.6453\Rightarrow x\approx40^o11'\\\\Answer:|\angle ABC|\approx40^o11'
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Jadas family has completed 30% of a trip. They have traveled 15 miles. How far is the trip
valentina_108 [34]

Answer:

50

Step-by-step explanation:

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x=50

8 0
3 years ago
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Two intelligent, honest students are sitting together at lunch one day when their math teacher hands them each a card. “your car
Lady bird [3.3K]
Answer: The loser's card shows 6.

Explanation: Let's start by naming the first student A and the second student B.
Since the product of A and B are either 12, 15, or 18, let's list every single possibility, the first number being A's number and the second number being B's number.

1     12
1     15
1     18
2     6
2     9
3     4
3     5
3     6
4     3
5     3
6     2
6     3
9     2
12  1
15  1
18  1

Now, the information says that A doesn't know what B has, so we can immediately cross off all of the combinations that have the integer appearing once and once ONLY off, because if it happened once only, A would know of it straight away. Now, our sample space becomes much smaller.

1     12
1     15
1     18
2     6
2     9
3     4
3     5
3     6
6     2
6     3

Using this same logic, we know that we can cross off all of the digits that occur only once in B's column.

2     6
3     6

Now, A definitely knows what number B has because there is only one number left in B. Hence, we can conclude that the loser, B, has the integer 6.
4 0
3 years ago
AB is the angle bisector of ∠CAD. Solve for x.
Sliva [168]

Answer: x=7

Step-by-step explanation:

Since AB is a bisector, it cuts the angle in half, and since we know that the angle is a right angle, we know it’s 90 degrees, so knowing that you use the equation 7x-4= 45 (since 45 is half of 90), add 4 to both sides so you have 7x=49, the divide 49 by 7 and you get 7, so x= 7

3 0
3 years ago
A bag contains 3 red balls and 6 blue balls. 2 balls are selected at random. Find the probability of selecting 2 red balls.
Gala2k [10]

Answer: You have 1/3 possibility of grabbing 2 red balls.

Step-by-step explanation:

7 0
3 years ago
PLEASE HELP ME I WILL GIVE YOU POINTS
Brilliant_brown [7]

Answer:I got 18.28

Step-by-step explanation:

so for getting the perimeter, you only need the outer line, so you sum the measurements you have for the rectangle: 1+2+2+7= 12. After that you need the circumference of the circle, you can figure it out by using the formula C = 2pi(r) You can find the radius by substracting the known sides of the rectangle attached to the circle from the bottom base and then dividing it in 2, leaving us with a radius of 2. Then we input values; C=2pi(2) which equals 4pi, but we need to divide that in half since it’s only half a circle. That leaves us with 2pi, or 6.28. Then we add the perimeter of the square, which was 12, and 6.28+12= 18.28

4 0
2 years ago
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