Given:
Angle A = 18.6°
Angle B = 93°
Length of side AB = 646 meters
To find:
the distance across the river, distance between BC
Steps:
Since we know the measure of 2 angles of a triangle we can find the measure of the third angle.
18.6° + 93° + ∠C = 180°
111.6° + ∠C = 180°
∠C = 180° - 111.6°
∠C = 68.4°
Therefore the measure of angle C is 68.4°.
now we can use the law of Sines,
![BC[sin(68.4)] = 646 [sin(18.6)]](https://tex.z-dn.net/?f=BC%5Bsin%2868.4%29%5D%20%3D%20646%20%5Bsin%2818.6%29%5D)
meters
Therefore, the distance across the river is 222 meters.
Happy to help :)
If anyone need more help, feel free to ask
Jade can make 403 necklaces.
1/5 of 121024 = 1/5(121024) = 0.2(121024) = 24204.8 = 24204 glass beads
1/10 of 121024 = 1/10(121024) = 0.1(121024) = 12102.4 = 12102 pony beads
To find the number of marbled beads, we add the fraction of the other two kinds together:
1/5 + 1/10
We will use 10 as the denominator:
2/10 + 1/10 = 3/10
The fraction that the marbled beads represents will make up 100%, or the whole number 1:
1-3/10 = 7/10
7/10 of 121024 = 7/10(121024) = 0.7(121024) = 84716.8 = 84716 marbled beads
Since it takes 20 glass beads to make a necklace, we divide the number of glass beads, 24204, by 20:
24204/20 = 1210 necklaces
It takes 30 pony beads to make a necklace. We divide the number of pony beads, 12102, by 30:
12102/30 = 403 necklaces
It takes 50 marbled beads to make a necklace. We divide the number of marbled beads, 84716, by 50:
84716/50 = 1694 necklaces
We must go with the smallest number, in order to ensure we have enough beads; this means she can make 403 necklaces.
Answer: 45
Step-by-step explanation:
The rectangle is: 7 * 5
The triangle is: (4 * 5)/2
7 * 5 = 35
4 * 5 = 20
20/2 = 10
10 + 35 = 45
Answer: 3/10. -2 3/5 = -2 6/10. -2 6/10 - -2 3/10 = - 3/10. -3/10 = 3/10 away on a number line
Answer:
B. 1,2,3,4,6,12
Step-by-step explanation:
Factors of 24: <u>1</u>, 24, <u>2</u>, <u>12</u>, <u>3</u>, 8, <u>4</u>, <u>6</u>
Factors of 30: 1, 36, 2, 18, 3, 12, 4, 9, 6,
