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

Answers

Answer 1

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°

A Surveyor Leaves Her Base Camp And Drives 43km On A Bearing Of 032.She Then Drives 28km On A Bearing

Related Questions

Alyssa is going to invest in an account paying an interest rate of 4.3% compounded daily. How much would Alyssa need to invest, to the nearest dollar, for the value of the account to reach $330 in 17 years?

Answers

Answer:

159

Step-by-step explanation:

158.877856673=P

round:

P=159

Answer:

159  

Step-by-step explanation:

please answer with steps

Answers

Answer:

both of these.will be solved by angle sum property which states that sum of all interior angles is 180 degrees

in a

one angle is 30 degrees

other is right angle means 90 degrees

total sum of these angles is 120

total sum of all angle must be 180 degrees

so the third angle is 60 degrees

in b

one angle is 45 degrees

other is a right angle means 90 degrees

total sum of these angles is 135

total sum of all angles must be 180 degrees

so the third angle is 45 degrees

hope this helps

have a good day

thanks for points

Which expression is equivalent to -28 x 2 + 35 x ?

Answers

Answer:

35+28=31

Step-by-step explanation:

Complete the equations below.

Answers

Answer:

3.64 ÷ 7 = 364 hundredths ÷ 7

3.64 ÷ 7 = 52 hundredths

3.64 ÷ 7 = 0.52

Step-by-step explanation:

David correctly graphed an inequality as shown below. -10-9-8-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 The inequality David graphed was written in the form 7 S 2 What is an expression that could be put in place of the question mark so that the inequality would have the same solution set as shown in the graph?​

Answers

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

b for which -x^2+8x+20=b will have no real roots​

Answers

Answer:

Step-by-step explanation:

-x² + 8x + 20 = b

-x² + 8x + 20 - b = 0

a = -1 ; b = 8 ; c = 20 - b

 There is no real roots.

So, b² - 4ac < 0

Plug in a, b and c values

8²- 4(-1)(20-b) < 0

When we multiply (-1) and (-4), we will get 4

64 + 4(20 - b) < 0

64 + 4*20 - 4b < 0

64 + 80 - 4b < 0

144  - 4b    < 0

Subtract 144 from both sides

-4b < -144

Divide both side by -4 and when we are dividing by (-4), < will change to >

b > -144/-4

b > 36

So, when value of b is greater than 36, the equation will have no real roots.

Determine the value of y-x ( •︠ˍ•︡ ) ​

Answers

Answer:

822

rhdjd dbd fn f f fnf f g g

I cant seem to figure this out. Help

Answers

You’re gonna figure out the area of each side first. I’d recommend labeling them by letter to help keep track. Do 8x5=40 then multiply 40 by 2 (because there are two sides that are 8x5) then do 3x4 which is 12 usually you would divide 12 by 2 to get the area of a triangle but in this case just leave it alone because there are two triangles. Then do 3x8 for the rectangle (24) then you’re gonna add all the sides together. So 40+40+12(or 6+6) +24...youre answer should me 116

Answer:

108 cm^2

Step-by-step explanation:

This solid is a triangular prism.

The total surface area is made up of the area of 5 faces.

The front and rear faces are called the bases and are two congruent triangles.

The other three faces are three rectangles and form the lateral area.

SA = area of bases + lateral area

The area of the bases is 2 times the area of a triangle.

The lateral area is the sum of the area of the three lateral faces, 3 rectangles, and is also the product of the perimeter of the base and the height of the prism.

SA = 2 * bh/2 + PH

where

b = base of triangular base,

h = height if triangular base,

P = perimeter of the base, and

H = height of the prism

SA = 2 * (3 cm)(4 cm)/2 + (3 cm + 4 cm + 5 cm) * (8 cm)

SA = 12 cm^2 + 96 cm^2

SA = 108 cm^2

who's holika & who is bhakt prahlad ????​

Answers

Answer:

Hello There!!

Step-by-step explanation:

The answer is that there was once a demon king called Hiranyakashyap, who believed that he was more powerful than the all the gods and he wanted everyone like all the people to worship him but his son, Prahlad, did not worship his father.

hope this helps,have a great day!!

~Pinky~

Cuánto tiempo debe transcurrir para que un capital de $3,000.00 alcance un monto de $7,000.00, si la inversión se hizo con 5% de interés simple mensual?

Answers

Answer:

27 years approx

Step-by-step explanation:

Given data

Principal P= $ 3,000

Final amount A= $ 7000

Rate r= 5%

The simple interest expression is

A=P(1+rt)

substitute and solve for t

7000=3000(1+0.05t)

7000=3000+150r

7000-3000=150r

4000=150t

t= 4000/150

t= 26.66

Hence, the time is 27 years approx

find the value of the variable and the length of each chord.if necessary, round your answers to the nearest tenth

Answers

Answer:

X = 2.4

MN = 7

JL = 7.4

Step-by-step explanation:

After choir practice, Jamal and Bettina shared a pizza that was cut into 10 equal slices. Jamal ate 1/2 of the pizza, and Bettina ate 1/5 of the pizza. What percentage did Jamal and Bettina eat altogether?

A. 20%
B. 50%
C. 70%
D. 100%

Answers

Answer:

C 70%

Step-by-step explanation:

It is 70% because you are see what is it all together and so its 70%

Helppppppppppppppppppp

Answers

the answer to the problem is
x=3

Answer:

x = 3

1. Subtract 5 from both sides of the equation.

6 + 5 = 3 + 1 4 6 + 5 − 5 = 3 + 1 4 − 5

2. Simplify

Subtract the numbers 6 = 3 + 9

3. Subtract 3x from both sides of the equation.

6 = 3 + 9 6 − 3 = 3 + 9 − 3

4. Simplify.

Combine like terms - 3x = 9

5. Divide both sides of the equation by the same term

3 = 9 3 3 = 9 3

6. Simplify

Cancel terms that are in both the numerator and denominator Divide the numbers = 3

Y=x-1 what's the slope please help me I have a test!! :/

Answers

Answer:

you need to add them toether since there is only one .

Step-by-step explanation:

1=y-x

5) Mario owns a plumbing business. He charges an hourly rate plus a onetime set up fee. His first job was 4 hours and he charged $450. His second job was 3 hours and he charged $675. If his set up fee is $150, how much does he charge per hour?

Answers

Answer:

Results are below.

Step-by-step explanation:

First, we need to calculate the variable income per job:

First job= 450 - 150= 300

Second job= 675 - 150= 525

Now, the hourly rate:

Hourly rate= total variable income / number of hours

First job= 300 / 4= $75

Second job= 525 / 3= $175

It is probably that the second job was 7 hours long. If not, he doesn't charge the same amount per hour

angelica owns 3 1/4 acres of land . she grows cabbage on 3/4 of the land. on how many acres of land does angelica grow cabbage

Answers

Answer:

2.4375 acres for cabbage

Step-by-step explanation:

15+(√9 *7)/3
Simplify

Answers

Step-by-step explanation:

15+(3×7)/3

simplify by 3

15+7

22

can sum1 please help wit dis look at pic​

Answers

Bd is 12 bc of Pythagorean theorem

The expression (3 + 6i) + (5 - 10i) simplified is

Answers

Answer:

The answer is 8 - 4i

you collect the like terms

The answer is 8 - 4i

Please help me!
[One Step Inequalities]

Answers

Answer: B

Step-by-step explanation:

Answer:

x is greater than or equal to 4

Step-by-step explanation:

divide both sides by two, treating it as an equation

so x is greater than or equal to 4

HELP PLS ASAPP !!! :(

Answers

The Himalaya stay between Indian and China

which of the following could be the lengths of the sides of a triangle?
a. 1,2,1
b.2,3,1
c.3,5,4
d.7,15,7

Answers

Answer:

C

Step-by-step explanation:

The general rule is that any two leg lengths must exceed the third.

A) won't. 1 + 1 = 2. The 2 ones lay flat across the 2.

B) 2 + 1 = 3. Won't work for the same reason as A

C) works fine. Any 2 will exceed the third.

D) can't happen. 7 + 7 < 15.

Complete the following
a)
3
5
20
b)
11
25
30
6.

Answers

Answer:

The answer should be B

PLZ HELP IF ITS CORRECT I WILL MARK U BRAINLIEST

Answers

Answer:

The answer is 45

Step-by-step explanation:

First, you find what is half of 30 by dividing 30 by 2

30/2 = 15

Then you add 15 to 30 since you have to increase it by 1/2

30 + 15 = 45

I hope this helped and have a great day!

The correct answer is 45

During a basketball game, Jeremy scored triple the number of points as Donovan. Kolby scored double the number of points as Donovan. If the three boys scored 36 points, how many points did each boy score?

Answers

Answer:

6.......................

Answer:

Jeremy scored 108 and kobly scored 72 and donvan scored 37

Step-by-step explanation:

Given the roots of 4 and -2 find the equations of the quadratic.
4 points

Answers

Answer:

p(x) = x² - 2x -8

Step-by-step explanation:

We need to find the quadratic equation with roots 4 and -2 , we know that if a and ß are the roots of equⁿ , then the polynomial is ,

[tex]\implies p(x) =k[ x^2-(\alpha + \beta)x+\alpha\beta] [/tex]

Where k is constant . Substitute respective values ,

=> p(x) = k [ x² - ( a + ß )x + aß ]

=> p(x) = k [ x² - ( 4-2) x + (4)(-2) ]

=> p(x) = k [ x² -2x - 8 ]

If k = 1 ,

=> p(x) = - 2x - 8

If one figure is translated, rotated and dilated to create its image, the two figures will be __________ .
Group of answer choices

translation

congruent

similar

opposite
PLEASE ANSWER ASAP

Answers

Similar is the answer because no matter the transformation done to the figure it’s always going to be similar to the image(after transformation figure) not necessarily congruent but similar

Convert the equation –9x2 + 25y2 – 100 – 125 = O into standard form.

Answers

Answer:

C. (y-2)^2/9 - x^2/25 = 1

Step-by-step explanation:

Edge 2021

In the parallelogram below, AC = 18, BD = 30, and BC = 15. What is the length of EC?

Answers

Answer:

30

Step-by-step explanation:

write the following number in standard form plezz

7.6 x 10^3

Answers

10^3=1,000

Anything multiplied by 1 is that number. In this case, multiply 7.6 by 1, then add 3 zeroes.

---

hope it helps

Answer:

7,600

Step-by-step explanation:

when you have to multiply by 10 to a power, you just move the decimal to the left as many times as by the power

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