Group A is on the north side of the fire and is 800 ft away from group B and 900 feet away from group C. Group A knows that the angle between its two adjacent sides is 89.6. “
The emergency responders want to properly inform the nearby towns of the danger proximity. They will need all three angles. To do this they need some additional information. The emergency responders need to know the angle of Group B and Group C. They also need to know the distance between Groups B and C.
Answers
Answer:
1. Length BC is 1200 ft
2. Angle B is 48.6°
3. Angle C is 41.8°
Step-by-step explanation:
1. Determination of the length BC
Side opposite C = c = 800 ft
Side opposite B = b = 900 ft
Angle A = 89.6°
Side opposite BC = a =?
Using cosine rule, we can obtain length BC as follow:
a² = b² + c² – 2bc CosA
a² = 900² + 800² – 2 × 900 × 800 × Cos89.6
a² = 810000 + 640000 – 1440000 × 0.007
a² = 1450000 – 10080
a² = 1439920
Take the square root of both side
a = √1439920
a ≈ 1200 ft
Thus, length BC is 1200 ft
2. Determination of angle B
Side opposite B = b = 900 ft
Side opposite A = a = 1200 ft
Angle A = 89.6°
Angle B =?
Angle B can be obtained by using sine rule as follow:
a / Sine A = b / Sine B
1200 / Sine 89.6° = 900 / Sine B
Cross multiply
1200 × Sine B = 900 × Sine 89.6°
1200 × Sine B = 900
Divide both side by 1200
Sine B = 900/1200
Sine B = 0.75
Take the inverse of Sine
B = Sine¯¹ 0.75
B = 48.6°
Thus, angle B is 48.6°
3. Determination of angle C
Side opposite C = c = 800 ft
Side opposite A = a = 1200 ft
Angle A = 89.6°
Angle C =?
Angle C can be obtained by using sine rule as follow:
a / Sine A = c / Sine C
1200 / Sine 89.6° = 800 / Sine B
Cross multiply
1200 × Sine C = 800 × Sine 89.6°
1200 × Sine C = 800
Divide both side by 1200
Sine C = 800/1200
Sine C = 0.6667
Take the inverse of Sine
C = Sine¯¹ 0.6667
C = 48.6°
Thus, angle C is 41.8°
Related Questions
hello I need help to past this test on math:
(more than one answer)
Which of the following is part of the set of integers?
1. negative whole numbers
2. zero
3. natural numbers
4. positive whole numbers
what are the answers (more than one) 1,2,3,or 4?
(u dont need an explanation)
Answers
All of the choices (1 , 2 , 3 and 4) are correct
I need help with this !!!
Answers
Answer:
no it cannot be
Step-by-step explanation:
because :
2/10 equals to 10/2 So 6/10 ÷ 2/10 =6/10×10/2
6×10=60
10×2=20 after reducing the fraction its 3/1
HELP ASAP PLZ DONT GUESS THIS DEPENDS ON MY LIFE FRR(graph in pic)
If Sheila rotates triangle PQR 90° counterclockwise to form triangle LMN, what is the measure of angle MNL?
A.130 °
B.100 °
C.50 °
D.30 °
Answers
Answer:
30
Step-by-step explanation:
This is a bit nasty, but you must keep the order in mind. PQR means that Q is the middle letter. M is also the middle letter. That's the easy part. What does MNL mean?
The lettering goes clockwise. MNL is the same thing as QRP. So what is R?
50 + 100 + R = 180
150 + R = 180
R = 180 - 150
R = 30
True or False.
The expressions 3+y and 13(6+y) are equivalent?
True
False
Answers
Answer:
False
Step-by-step explanation:
Brainliest please?
I got a screenshot, You got answer
Answers
Answer:
A. [tex]V = (pi)(3.25)^2(12)[/tex]
Step-by-step explanation:
The formula for the volume of a cylinder is the formula for the area of the circle, times the height of the cylinder. The formula for the volume of a circle is,
[tex]A = (pi)(r)^2[/tex]
Multiply that by the height to find the formula for the volume of a cylinder,
[tex]V=(pi)(r)^2(h)[/tex]
Where (pi) represents the value (3.1415), (r) represents the radius, and (h) represents the height of the cylinder. Now substitute in the given values, remember, this problem gives the diameter of the cylinder, divide that value by two to find the radius.
[tex]V=(pi)(\frac{6.5}{2})^2(12)\\\\V = (pi)(3.25)^2(12)[/tex]
A rectangular prism has a volume of 240cm. It's height measures 8 cm. What is the area of its base
Answers
Answer: Base = 90 [tex]cm^{2}[/tex]
Step-by-step explanation:
please hepl with this math
Answers
Answer:
3,10,17,24
Step-by-step explanation:
An Arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant.
3,10,17,24
the difference is 7
PLS HELP HELP ME WITH a question pls
Answers
Step-by-step explanation:
d.
e +e+25=180°{sum of angle of triangle}
2e+25=180°
2e=155
e=155/2
e=77.5°
e.
55°+55°+f=180°{sum of angle of triangle}
f=180-110
f=70°
hope it helps.
What is the equation that represents the relationship shown in the table?
Answers
In the expression “six to the power
of four is 1,296," which number is the
base?
Answers
6/15 as a fraction in its simplest form
Answers
Answer:
2/5
Step-by-step explanation:
DIvide both numbers by 3
Answer:
2/5 !
Step-by-step explanation:
BRAINLIEST!
5 - 3(7n + 8) =??????????
Answers
Answer:
-21x-19
Step-by-step explanation:
Answer:
The answer is -19 - 21n
by the way in the image those are the letter N, I hope this helps you :)
7m - 13 = 43 plzzzzzzzzzzzz help
Answers
Answer:
=8
Step-by-step explanation:
7m-13=43
7m-13+13=43+13
7m=8
Calculator
Enter the unknown value that makes this statement true:
25% of O
is 30.
->
-
1
2
3
Answers
Answer:
X = 120
Step-by-step explanation:
here's your solution
=> we need to find the number whose 25%
is 30
=>. now , let the number be X
=> solve for X
=>. 25/100*X = 30
=> X = 30*100/25
=> X = 120
hope it helps
find the probability that a randomly selected point within the circle falls in the red shaded area round to the nearest hundredth r = 4 cm 2.5 cm 3 cm 3 cm
Answers
Answer:
[tex]p\approx 0.39[/tex]
Step-by-step explanation:
We are given a circle of radius 4 cm, and a triangle inscribed within the circle with a vertical height of 6.5 cm and a base of 6 cm.
To find the probability a randomly selected point lands in the red area, we can divide the red area by the total area.
The area for a circle is given by:
[tex]A=\pi r^2[/tex]
Since the radius is 4 cm, the area of the circle or total area is:
[tex]A=\pi (4)^2=16\pi \text{ cm}^2[/tex]
The area for a triangle is given by:
[tex]\displaystyle A=\frac{1}{2}bh[/tex]
The base of the triangle is 6 cm total and the vertical height is 6.5 cm. Therefore, the area is:
[tex]\displaystyle A=\frac{1}{2}(6)(6.5)=19.5\text{ cm}^2[/tex]
The probability of landing in the red shaded area is:
[tex]\displaystyle p=\frac{\text{Red Region}}{\text{Total Region}}[/tex]
Therefore:
[tex]\displaystyle p=\frac{19.5}{16\pi}\approx 0.39=39\%[/tex]
x−8<−1
Can someone plz tell me the answer
Answers
Answer:
Step-by-step explanation:
you have to add 8 in both sides
x-8<-1
x-8+8<-1+8
x<7
Answer:x<7
Step-by-step explanation:
Step 1: Add 8 to both sides.
x−8+8<−1+8
x<7
hey guys i need some help on this division problem i have
Answers
Answer:
3. 25/28
4. 1 1/7
Step-by-step explanation:
when you divide fractions just flip one of them and then multiply across
so instead of 5/7 ÷ 4/5 its
5/7 • 5/4
please mark me brainliest to help me get ace rank
What is the answer I need to know
Answers
Answer:
Arrange your numbers in numerical order.
Count how many numbers you have.
If you have an odd number, divide by 2 and round up to get the position of the median number.
If you have an even number, divide by 2. Go to the number in that position and average it with the number in the next higher position to get the median.
URGENT!!! WHOEVER GETS THIS CORRECT FIRST GETS BRAINLEST!!
Answers
Explanation:
I suggest using a calculator for this. The height is 4in, correct? And the width is 13in, correct? I suggest multiplying 13 and 4 together. if you got 52 then you are on the right track with this. The top and bottom of this perimeter is 13in each and the height on the left and right is 4in. 4 times 4 is 16. and 13 times 13 is 169. Sometimes people add 169 to 16 to get the answer but that is the wrong answer.
Answer:
The answer to this question is,
13 * 2 = 26
4 * 2 = 8
26 * 8 = 208
{-I apologize if i did the math wrong-}
divide 5/8 3/4 in the most simple form
Answers
Answer:
15/32
3/4 x 5/8 = 15/32 in fraction form.
Step-by-step explanation:
A bowl of cold gazpacho soup is warming to room temperature. The temperature difference
between the soup and the room decreases by 5% every minute. What will the temperature
difference be in 8 minutes if it is currently 24°C?
If necessary, round your answer to the nearest tenth.
Answers
Answer: 25
Step-by-step explanation:
How many faces does the following shape have?
Answers
Answer:
5
Step-by-step explanation:
the back ones 2
the front ones 2
and the bottom one 1
5
PLSSS HELP DUE IN 5 MINUTES!!!!
PLEASE DO NOT ANSWER JUST FOR POINTS!!!
LOOK AT THE IMAGE FOR THE QUESTIONS AND ANSWERS
NOTE: The first answer “(0,9)” is incorrect I tried and it was wrong so please it’s either (9,0) or (3,0)
Answers
Answer:
I think it's (0,3) sorry if it not
Answer:
(3, 0)
Step-by-step explanation:
The vertex point is 3 units to the right of the origin, making the x-coordinate 3, but it doesn’t move up or down, meaning that the y-coordinate is 0.
so it’s (3,0)
Btw, the vertex is the point of the parabola where it’s the minimum or maximu (minimum in this case). You answered for the y-interceptm which is where the parabola touches the y-axis.
elana walked 12 miles. then she walked 1/4 that distance. how far did she walk all together. select all that apply.
12+1/4
12•1/4
12+1/4•12
12(1+1/4)
12•3/4
12•5/4
Answers
Answer:
12+1/4•12
Step-by-step explanation:
Hello friend!
The answer to your question is down below!!
1. 12+1/4•12
2. 12(1+1/4)
3.12+1/4
look at the picture. please please help im stuck.
Answers
Answer:
7 is greater than or equal to x.
Answer:
Hey I’m not sure but I think it’s A
Step-by-step explanation:
COULD SOMEONE HELP ME WITH C? I NEED TO TURN THIS IN ASAP
Answers
I would, but unfortunately i don’t live in your brain. The question is asking for your opinion and what your prefer. Therefore, you have to answer which way is easier for you!
Good luck!
Q. You're working in the sedan section of
Dean's Car Dealership. A customer makes a
down payment of 15% on a new car that costs
$13,450. How much is the down payment?
A. $201.75
B. $2,017.50
C. $269.00
D. $2,690.00
Answers
Answer:
B
Step-by-step explanation:
[tex]15%of$13,450=$2,017.50[/tex]%[tex]of13,450=2,017.50[/tex] therefore the down payment is $2,017.50
PLS HELP
Simply the expression by combining like terms.
6x+9+2x+4=
Answers
Answer:
Combine like terms: 18x + 15x = 33x
(45 + 33x + 6x2)
Step-by-step explanation:
Answer:
Combine like terms: 18x + 15x = 33x
(45 + 33x + 6x2)
Step-by-step explanation:
please help me with this :) thankss
Answers
Answer:
multiply all which would be 110
Step-by-step explanation:
Help fast please....
Answers
Answer:
46 yd²
Step-by-step explanation: