A surveyor leaves her base camp and drives 43km on a bearing of 032°.She then drives 28km on a bearing of 154°.How far is she then from her base camp and what is her bearing from it
Answer:
36.84km ; 252.13°
Step-by-step explanation:
Using the cosine rule :
a² = b² + c² - 2bcCosA
a² = 28² + 43² - (2*28*43)*Cos58
a² = 2633 - 1276.0455
a² = 1356.9544
a = sqrt(1356.9544)
a = 36.8368
a = 36.84 km
For the bearing,
Obtain the angle at B using the Sine rule
a/SinA = b/SinB
36.84/sin58 = 28/sinB
36.84*SinB = 28 * Sin58
SinB = 23.745346 / 36.84
SinB = 0.6445533
B = sin^-1(0.6445533)
B = 40.13°
180 + (32 + 40.13)
180 - 72.13
= 252.13°
35% of the students on a field trip love the zoo. If there are students on the field trip, how many love the zoo?
Your question is missing an important value. That is the number of people on this trip. So we assume that 250 people are on this trip.
Answer:
88 persons
Step-by-step explanation:
Be cause your question does not have the total number of people on this trip, I assumed that the number of people should be 250.
Now we are to find 35% of 250.
This would give the total number of people they enjoyed the trip
0.35 x 250
= 87.5
approximately 88 persons
So we say that 88 persons loved the zoo.
To trick is to find 35% of whatever number of people are on this field trip.
Write an equation in slope-intercept form: (1,6) and (2,3) are on the line
Step-by-step explanation:
eqn of line : y = mx+ c
m = slope or gradient
c = y-intercept.
Lets take (1,6) = (x1,y1) and (2,3) = (x2,y2)
[tex]m \: = \frac{y1 - y2}{x1 - x2} \\ = \frac{6 - 3}{1 - 2} \\ = \frac{3}{ - 1} \\ = - 3[/tex]
Substitute x = 1 and y = 6 into equation,
[tex]6 = ( - 3)(1) + c \\ 6 = - 3 + c \\ c = 6 + 3 \\ = 9[/tex]
Therefore substituting m and c value, equation of line is
[tex]y = - 3x + 9[/tex]
15 less than twice the sum of 61
Answer: 38
Explanation the answer is 38
Answer both parts please
Answer:
1-21m hight and 23 lenght
2-45 hight and 11 length
Skylar travels 50 meters N and then goes 30 meters W before coming straight back south 20 meters. What distance did she travel?Skylar travels 50 meters N and then goes 30 meters W before coming straight back south 20 meters. What distance did she travel?
Answer:
100 meters
Step-by-step explanation:
Given that:
Distance traveled N = 50 meters
Distance traveled W = 30 meters
Distance traveled straight back south = 20 m
The distance traveled :
Distance traveled N + Distance traveled W + Distance traveled S
(50 + 30 + 20) meters
= 100 meters
On a coordinate plane, quadrilateral J K L M with diagonals is shown. Point J is at (4, 5), point K is at (5, 1), point L is at (1, 2), and point M is at (1, 5). Which statement proves that quadrilateral JKLM is a kite?
Answer:
[tex]LM = MJ = 3[/tex]
[tex]JK = KL = \sqrt{17[/tex]
Step-by-step explanation:
Given
[tex]J = (4,5)[/tex]
[tex]K = (5,1)[/tex]
[tex]L = (1,2)[/tex]
[tex]M = (1,5)[/tex]
Required
Prove it's a kite
Start by calculating the length of the sides of the kite using:
[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 -y_2)^2}[/tex]
[tex]JK = \sqrt{(4 - 5)^2 + (5 -1)^2} = \sqrt{17}[/tex]
[tex]KL = \sqrt{(5 - 1)^2 + (1 -2)^2} = \sqrt{17}[/tex]
[tex]LM = \sqrt{(1 - 1)^2 + (2 -5)^2} = \sqrt{9} =3[/tex]
[tex]MJ = \sqrt{(1 - 4)^2 + (5 -5)^2} =\sqrt{9} = 3[/tex]
Hence:
[tex]LM = MJ = 3[/tex]
[tex]JK = KL = \sqrt{17[/tex]
proves that it is a kite
Answer:
B) LM = JM = 3 and JK = LK = [tex]\sqrt{17}[/tex]
Step-by-step explanation:
Edge 2021
Good Luck :)
$834 at 7.25% for 1 1/2years
Triangle ABC has sides measuring 12 cm, 20 cm, and 28 cm. Which could be the side lengths of the dilated image A’B’C
O 30 cm, 50 cm, 70cm
O 20 cm, 30 cm, 42 cm
O 24 cm, 40 cm, 46 cm
O 6 cm, 12 cm, 14 cm
Answer:
Step-by-step explanation:
12:20:28 = 3:5:7
(30 cm):(50 cm):(70 cm) = 3:5:7
I = prt solve for( r)
Answer:
r = [tex]\frac{l}{pt}[/tex]
Step-by-step explanation:
Given
l = prt ( isolate r by dividing both sides by pt )
[tex]\frac{l}{pt}[/tex] = r
Write ratios for sin C, cos C, and tan C
Answer:
sin c - 25/7
cos c - 7/24
tan c - 25/24
Step-by-step explanation:
does anyone know the answer to this ?
Answer:answer b
Step-by-step explanation:
Answer:
I think it is B
Step-by-step explanation:
which represents the solution to the inequality -3x +5 > 14?
Answer:
x < -3
Step-by-step explanation:
Enter the number that makes the equation true?
Answer:
800
Step-by-step explanation:
happy to help
Step-by-step explanation:
You'll need to add up all the numerators and the answer you'll get is 7226. Then you'll subtract 7226 from 7826 and you'll get 600. The missing value is 600..A bag contains 3 red checkers and 5 black checkers. A checker is selected, kept out of the bag, and then another checker is selected. What is the P(black, then red)?
Answer: 15 / 56
Step-by-step explanation:
Number of red checkers = 3
Number of black checkers = 5
Total number of checkers = 8
P(black, then red) = 5/8 × 3/7 = 15/56
We should note that the probability to pick a black checker first will be 5 out of 8. Then, there'll be 7 checkers left and the probability to pick a res checker will be 3/7. We then multiply the probabality of each together.
7. Tom weighs 168.5 pounds. His 2-year- old son, Nicholas, weighs 33.7 pounds. How many times as much as Nicholas does Tom weigh?
Answer:
Tom weighs 5 times as much as Nicholas
Step-by-step explanation:
To find how many times as much as Nicholas Tom weighs, we will divide Tom's weight by Nicholas' weight. This is done as follows:
Tom's weight = 168.5 pounds
Nicholas' weight = 33.7 pounds
Dividing both weights = 168.5 ÷ 33.7 = 5
∴ Tom weighs 5 times as much as Nicholas
what is 600 divided 2
Answer: 600 divided by 2 is ...*gets calculator* oh its 300
Can Mwamini drink 222 liters of water and 111 liter of juice within her time limit?
And what is her time limit?
2020-2021-T-Math-Gr05-T10
Question: 1-5
Lia cut a long piece of string into 2 pieces. one piece of the string is 24 inches long, and the other place of the string is 12 inches long How many feet long was the piece of string before a cut it?
Answer:
36 inches.
Step-by-step explanation:
If one piece of string is 12 inches
and the second piece = 24 inches
Then the total is 12 + 24 = 36 inches.
A pound is equal to 0.454 kilograms, how many kilograms does a 142-pound man weigh?
A 0.003 kilograms0.003 kilograms
B 64.468 kilograms64.468 kilograms
C 312.77 kilograms 312.77 kilograms
D 644.68 kilograms
Answer:
C 312.77 kilograms 312.77 kilograms
Step-by-step explanation:
A furniture store sell kits that customers use to build cabinets. Each kit contains 18 screws and a set number of boards. Jarred buys 6 of these kits and has a total of 192 screws and boards. The equation shown represents this situation: 6(x + 18) 192. What does the variable represent in Jarred's equation? * O The number of screws in one kit O The number of screws in all 6 kits O The number of boards in one kit? The number of boards in all 6 kits?
the number of boards in all 6 kits
✔✔
HELP ASAPP!!!! PLZZZ
Answer:
x = 4
Step-by-step explanation:
35/60 = (5x+1+35)/96
3,360 = 60(5x+36)
56 = 5x+36
20 = 5x
x = 4
A landscaper will pave the walkway for $5 per square foot. How much will it cost for Mrs. Johnson to have the landscaper pave her walkway If there is 9ft 16ft and 10ft? HELP PLEASE
A: $117
B: $144
C: $585
D: $720
A number x increased by 5 is greater than or equal to 25.
Answer:
equal tell me if i'm wrong
Chris spent half his money on a pair of headphones. Then spent half of his remaining money on CDs. Finally, he spent his remaining $12.00 on a book. How much money did Chris have to begin with
Answer:50.50
Step-by-step explanation:
Today, everything in the store is on sale. The store offers a 20% discount.
A) The regular price of a t-shirt is $18. What is the discount price?
B) Which equation represents this problem?
a) y = 0.8x b) y = 0.2x c) y = 1.80x d) y = 1.20x
C) The discount price of a hat is $18. What is the regular price?
A) The regular price of a t-shirt is $18. What is the discount price?
$14.4
B) Which equation represents this problem?
a) y = 0.8x b) y = 0.2x c) y = 1.80x d) y = 1.20x
The answer would be B.
C) The discount price of a hat is $18. What is the regular price?
22.5
Hope it helped!! ^^
Note: if you need me to explain i Would be happy to do so! :)
Mr. Nakamura cuts 1 2 of a piece of construction paper. He uses 1 5 of the piece to make a flower. What fraction of the sheet of paper does he use to make the flower?
Answer:
1/10th
Step-by-step explanation:
You multiply,
1/2 x 1/5 = 1/10
You can also picture it. Cut half a sheet of paper into 5 pieces. that means the other half would have 5 pieces too you cut it. That means there would be 10 pieces in total. He uses one of those pieces.
Suppose the average driving speed on family trip is 48 mi/h. Which function rule models the distance traveled d(t) as a function of time t spent traveling. A. d(t) = t + 48 B. d(t) = 48 - t C. d(t) = 48t D. d(t) = t/48
5(6x - 2²) fully simplified
PLEASE - 10 points (5 thank you )
Answer:
hello, please listen to me. if u r giving 10 points then others are getting 5 points. so write accordingly