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Dafna1 [17]
1 year ago
13

Find the side in of point a to point c

Mathematics
1 answer:
vladimir1956 [14]1 year ago
3 0

Step 1:

Calculate the measure of angle ∠ABC

\angle DBC+\angle ABC=180(\text{ sum of angles on a straight line)}\angle ABC=65^0\begin{gathered} \angle DBC+\angle ABC=180 \\ \angle DBC+65^0=180^0 \\ \angle DBC=180^0-65^0 \\ \angle DBC=115^0 \end{gathered}

From the triangle in the question,

a=10\operatorname{km},c=15\operatorname{km},B=115^0

Step 2:

Calculate the value of AB using the cosine rule below

b^2=a^2+c^2-2\times a\times c\times\cos B

By substituting the values, we will have

\begin{gathered} b^2=a^2+c^2-2\times a\times c\times\cos B \\ b^2=10^2+15^2-2\times10\times15\times\cos 115^0 \\ b^2=100+225-300\times(-0.4226) \\ b^2=325+126.78 \\ b^2=451.78 \\ \text{Square root both sides} \\ \sqrt[]{b^2}=\sqrt[]{451.78} \\ b=21.26\operatorname{km} \end{gathered}

Hence,

The distance of point A to point C is = 21.26km

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marshall27 [118]
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5 0
3 years ago
Can someone help me with 1& 2 will mark brainiest
melamori03 [73]
Sin 45° = opposite side / hypotenuse

1/2 = 8/h
h = 16

2)6/12 = 1/2
1/2 = sin 45°

6√3/12 = √3/2
√3/2 = cos 30°

Sum of angles of triangle = 180°
The 3rd angle = 180 - (45 + 30) = 180 - 75 = 105°

Angles = 30° , 45° , 105°


7 0
3 years ago
D/5 = -6 please help
natima [27]

Answer:

Answer given below

Step-by-step explanation:

D = - 6 x 5 = - 30

8 0
3 years ago
How would i calculate 1.9 minus 11/12?
Genrish500 [490]
Step 1) turn 1.9 into an improper fraction.

= 19/10

step 2) find a least common denominator between 10 and 12.

= 60
(10x6 and 12x5)

step 3) convert the fractions so they have the same denominator.

= 19x6 is 114.
10x6= 60.
= 11x5 is 55.
12x5 is 60.
now you have your new fractions.

step 4) subtract.

= 114/60 - 55/60 is 59/60.

step 5) simplify.

the answer is either 0.9833... (3 repeating) or just 59/60 (you can't simplify the fraction any further).
8 0
3 years ago
Name the angle pair relationship and solve for the given angle
Natasha_Volkova [10]

Answer:

The angle (7x-14) and (4x+19) are corresponding angles. Both angles are 63 degrees.

Step-by-step explanation:

Since the two angles are corresponding, they are equal.

7x-14 = 4x + 19

Subtract the 4x on right side to get 19 alone. Do the same on the left side since, whatever you do on one side, you have to do to the other.

3x-14 = 19

Add the -14 on the left side to get 3x alone. Do the same on the right side since, whatever you do on one side, you have to do to the other.

3x = 33

Divide by 3.

x = 11

4 0
3 years ago
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