maths question worth lots of points

Maths Question Worth Lots Of Points

Answers

Answer 1

The bearing form the cliff to the island is 58.09 degrees

How to determine the bearing form the cliff to the island

Information from the question

A puffin leaves a cliff and flies 33 km due east

and then 53 km due north

Work out the bearing form the cliff to the island = ?

The bearing form the cliff to the island is worked using SOH CAH TOA

Sin = opposite / hypotenuse - SOH

Cos = adjacent / hypotenuse - CAH

Tan = opposite / adjacent - TOA

The direction of movements describes a right triangle of

opposite = 53 km

adjacent = 33 km

The bearing is calculated using tan, TOA

let the angle be x

tan x = Opposite / Adjacent

tan x = 53 / 33

tan x = 1.60606

x = arc tan 1.60606

x = 58.09 degrees

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Related Questions

Does anybody know how to do this or at least part of it anything would really help!!

Answers

Answer:

So the given equation is h= -5t^2+40t

the first question asks when it will be 75 meters above the ground. So plug in 75 for h and find t

75= -5t^2+40t

start by dividing everything by 5

15= -x^2 + 8x

then you can add x squared to both sides and subtract 8x

x^2 - 8x + 15 =0

then you can plug it into the quadratic formula, which is a pain to type so I did it on paper.

x = 5 or 3

so it will be 75 meters above the ground at 3 seconds and 5 seconds

Rewriting the equation

ok so I accidentally already factored it when I divided everything by 5...

I believe the answer here is x^2 - 8x + 15 =0

The meaning of the x intercepts is when h=0 or the object is 0 meters above the ground (basically when it starts and when it ends)

the maximum height is greater than 75 because it gets to 75 meters 3 seconds after it is thrown, and continues going higher before it comes back to 75 two seconds later.

The object is airborne for 8 seconds because the second x intercept is at (8,0)

Which solution value satisfies the inequality x + 10 > 12?
Question 1 options:

A)

x = 3

B)

x = –1

C)

x = 0

D)

x = 2

Answers

Answer:

A) x=3

Step-by-step explanation:

As for B, C, and D,

if x=-1, 9>12 is not true,

if x=0, 10>12 is not true

if x=2, 12>12 is not true

Write the fraction as a decimal and percent (two answers)
144/200 of the tickets

Answers

Answer:

Answers: 0.72 and 72%.

Step-by-step explanation:

144/200 and 72/100 and 36/50 and 18/25 are equivalent to 72%.

Can you guys help me answer this? It's kinda urgent

Answers

B, D, E they all equal 40/9

The area of a rectangle is 24 inches squared. The BASE is 6 in. What is the HEIGHT? *
pls fast

Answers

Answer:

4

Step-by-step explanation:

6*4=24

Base=6

Total=24

24/6=4         Height=4

*if iḿ wrong plz tell me

100 points!!! Show your work on paper

Answers

Answer:

10 cm, 15 cm

Step-by-step explanation:

Set ratios and solve for x

Corresponding sides are AC with A'C' and CB with C'B'

AC/A'C' = CB/C'B'(x - 1)/2 = (x + 4)/33(x - 1) = 2(x + 4)3x - 3 = 2x + 83x - 2x = 8 + 3x = 11

Find the values of AC and CB:

AC = x - 1 = 11 - 1 = 10 cmCB = x + 4 = 11 + 4 = 15 cm

Answer:

AC=10cm

BC=15cm is your answer

Help please pls pls pls

Answers

Answer:

The right answer is  neither

Step-by-step explanation:

I said because Exponential describes a very rapid increase. ... Exponential is also a mathematical term, meaning "involving an exponent." When you raise a number to the tenth power, for example, that's an exponential increase in that number. the part involves exponent is the y part same number multiple to it self to get the next answer  while the x part one specific number to get the next number which is linear but since theyre asking about the relationship it’s neither because both were supposed to have the same relationship linea for x and y or exponential for x and y but they both are different.

Write the third column of the matrix as a linear combination of the first two columns, if possible. (If not possible, enter IMPOSSIBLE on both answer blanks.) 1 2 15 7 8 57 6 5 34

Answers

Answer:

Elements in third column = - (elements in the first column) + 8(elements in the second column)

Step-by-step explanation:

A matrix is a rectangular array in which elements are arranged in a rows and columns.

Order of a matrix = Number of rows × Number of columns

Given matrix is [tex]\left[\begin{array}{ccc}1&2&15\\7&8&57\\6&5&34\end{array}\right][/tex]

Here,

[tex]15=-1+8(2)\\57=-7+8(8)\\\34=-6+8(5)[/tex]

So,

Elements in third column = - (elements in the first column) + 8(elements in the second column)

For which equations is 8 a solution? Select the four correct answers.
OX+6 - 2
Ox+2-10
O x-4-4
O x-2-10
2x=4
3x= 24
ož - 16
OŠ - 1

Answers

Answer:

3x = 24

x/8 = 11

x - 4 = 4

x + 2 = 10

Option 2 option 3 option option 6 and option 8

marissa rode her bike to the park and back home. halfway to the park, she stopped at the library. she lives 1 3/10 miles from the library. how many miles did marissa ride her bike in all?

Answers

Answer:

5 2/10 miles or 5 1/5 miles, if you need to reduce fractions

Step-by-step explanation:

The way they wrote this is kind of confusing. Home to library = 1 3/10 miles. That's halfway to the park, so the distance to the park is 1 3/10 + 1 3/10 = 2 6/10 miles.

Then she had to ride that same distance home, so add

2 6/10 + 2 6/10 = 4 12/10 = 5 2/10

If your teacher has you reduce fractions, then it's 5 1/5 miles.

The number of miles did  marissa ride her bike in all should be 5 2/10 miles or 5 1/5 miles.

Calculation of the number of miles:

Since

She lives 1 3/10 miles from the library.

So here the distance to the park should be

= 1 3/10 + 1 3/10

= 2 6/10 miles.

Now we basically add it

= 2 6/10 + 2 6/10

= 4 12/10

= 5 2/10

hence, The number of miles did  marissa ride her bike in all should be 5 2/10 miles or 5 1/5 miles.

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PLZZZ HELP IT'S FOR MIDDLE SCHOOLLLLL
jordans dog weighs p pounds emmett's dog weighs 25% more than jordan's dog which expressions represent the weight in of emmett's dog? a.0.25p b.1.25p c. p + 0.25 d. p + 1.25 e. p + 0.25p. Select two answers.

Answers

Answer:

B

Step-by-step explanation:

I think because if it weighs 25% more, then Jordans dog is the "1" part and Emmetts dog is the .25 part.  

Answer:

B, 1.25p

Step-by-step explanation:

Lets say that Jordan's dog is a certain weight making him 1, It says Emmett's dog weighs 25% more, so that would give us 1.25. Now the reason is that it's B instead of C is that we have a p next to our 1.25. This means that its 1.25 x p, p being your pounds. So if you were to understand this equation, it would be, 1.25 x pounds. Let's also remember 1 x 1 = 1. So 1 x 1.25 is 1.25. 1 times anything is going to be the same number.

Which expression represents a number, p, added to the difference of 25 and 5?


A. 25-5+p
B. 25-5-p
C. 25+5-p

Answers

A, it correctly shows p added to 25-5.

Answer:

A.

Step-by-step explanation:

4 x 3/4 is greater than 3/4 , since 4 is greater than 1. True o false

Answers

Answer:

Trueeee I guessss

Step-by-step explanation:

I don't know

The answer is true! It can’t be False because that’s all correct

How much interest would you have if you deposited $200 that if you deposited $150? ​

Answers

Answer:

Difference = 206 - 154.5 = $51.5

In short, Your Answer would be: $51.5

Please Help! I need to turn this in today!

Answers

Answer:

45

Step-by-step explanation:

The answer would be 45

How is tha main carecter of the rear ​

Answers

U spelt carecter wrong its character

if 4 shirts and 3 ties cost 241. and 3 shirts and 4 ties cost 200. what is the cost of 1 shirt and 1 tie?​

Answers

Answer:

cost of 1 tie = 11

cost of 1 shirt = 52

Step-by-step explanation:

Please help!!! Will give brainliest

Answers

Answer:

option C

Step-by-step explanation:

option C is the correct answer of this question.

plz mark my answer as brainlist plzzzz vote me.

hope this will be helpful to you.

solve and receive brainlist​

Answers

Answer:

x = 4

Step-by-step explanation:

2x + 1 = 9

2x = 9 - 1

2x = 8

x = 4

Answer:

x=4

Step-by-step explanation:

9-1=8

8/2=4

15 3/4percent is equal to which decimal

Answers

Answer:

Step 1: Multiply the whole number by the denominator:

15 3/4 = 15.75

Step-by-step explanation:

Step 1: Multiply the whole number by the denominator:

15 × 4 = 60

Step 2: Add the product you got in Step 1 to the numerator:

60 + 3 = 63

Step 3: Divide the sum from Step 2 by the denominator:

63 ÷ 4 = 15.75

That's it folks! The answer to 15 3/4 in decimal form is displayed below:

Two sides of a right triangle measure 2 units and 4
units.

What is the area of the square that shares a side with the third side of the triangle?
units^2
2
squared

Answers

Hey there!

The answer is √20 or approximately 4.47

We can use the Pythagoreon Theorem, which is [tex]a^2 +b^2=c^2[/tex]. [tex]a[/tex] and [tex]b[/tex] are the names of the two sides, and [tex]c[/tex] is the name of the hypotenuse leg, or the longest side. We will plug the numbers into the formula, and solve:

[tex]2^2+4^2=c^2\\4+16=c^2\\20=c^2\\4.47...=c[/tex]

Have a terrifcly amazing day!

find the product 27x3

Answers

Answer:

81

Step-by-step explanation:

2

27

x 3

------

8 1

Answer:

81

Step-by-step explanation:

27 × 3

81

I need help with this math problem please help.

Answers

Answer:

A

Step-by-step explanation:

since the shaded area is before x=-3 and x=-3 is a dashed line, x<-3 is the answer for x. That knocks out half the answers. the slope intercept form for the other line is y=-x-1. The answer with the slope as y would be the answer for the second half. A has both answers correct. (sorry for bad explaination, I am not a native speaker)

Pls help I’ll brain-lest ASAP

Answers

P = 2( L + W )

-divide both sides by 2

P/2 = L + W

-subtract L from both sides

P/2 - L = W

or

(P - L) / 2 = W

Jen sells flowers. She charges $2 per flower plug a $3 flat delivery fee. How many flowers did she deliver if she made $21?

Answers

Answer:

4 1/2 flowers

Step-by-step explanation:

2 + 3 = 5 and 4 x 5 = 20 and plus half a flower.

True or false: is x=4 a solution to |x+5| =-9?. Explain

Answers

Answer:

No

Step-by-step explanation:

if u subsitute x for 4, 4+5 would equal positive 9.

Suppose that you and your friends attend a basketball game. You buy a block of 8 tickets for $192. You want to know the price per ticket. That price can be expressed as a unit rate. What is that rate?

Answers

Answer:

$38.40

Step-by-step explanation:

you have to divide 192 by 8.

Write an equation in slope-intercept form that describes the relationship between the number of minutes, x, and the amount charged, y.​

Answers

Answer:

y = 1/20x + 6

Step-by-step explanation:

The number of minutes is your x-value. The amount charged is your y-value.

Let's convert the numbers in the table into coordinates.

(30, 7.5)

(120, 12)

(220, 17)

Now, we will take two points and use the slope formula to plug into the slope-intercept equation: y = mx + b

I chose the first and last points given. All three points do not lie on the same line, but using the first and last point should be closer to the line of best fit.

(30, 7.5) & (220, 17)

m = (y₂ - y₁) / (x₂ - x₁)

m = (17 - 7.5) / (220 - 30)

m = (9.5) / (190)

m = 0.05 = 5/100 = 1/20

m = 1/20

Plug m into your equation.

y = 1/20x + b

To find b, plug in a point for x and y.

17 = 1/20(220) + b

17 = 11 + b

b = 6

Plug b into your equation.

y = 1/20x + 6

Hope this helps!

A box will be built with square base and an open top. Material for the base costs $8 square foot, while material for the side's costs $2 per square foot. Find the dimension of the box of maximum volume that can be built for $2400.​

Answers

All you have to do is add it could be so simple 8$ + $2 + $2400

The height and side of the box for the maximum volume are 20 feet and 10 feet respectively.

What is area?

Area is the amount of space occupied by a two-dimensional figure.

How to calculate the area of square?

The area of square is the product of the length of each side with itself.

[tex]A = a^{2}[/tex]

Where,

A is the area of square

a is the length of the side of square

What is volume?

Volume is the measure of the capacity that an object holds.

Formula for the volume of cuboid

volume = length × breadth × height

According to the given question

We have

A box with the open top and square base.

Let x be the side of the box. And h be the height of the box

Also, the cost of material for the base is $8 and for side is $2 per square foot.

The total cost of material for the box is $2400

⇒[tex]8x^{2} + 4(2xh) = 2400[/tex]

⇒ [tex]8x^{2} + 8xh = 2400\\[/tex]

⇒[tex]x^{2} + xh = 300[/tex]

⇒ [tex]h = \frac{300-x^{2} }{x}[/tex]

Therefore,

volume of the box

[tex]= x^{2} h[/tex]

= [tex]x^{2} \frac{3000-x^{2} }{x}[/tex]

= [tex]x(300-x^{2} )[/tex]

= [tex]300x - x^{3}[/tex]

for the maximum volume,[tex]\frac{d}{dx}(v)=0[/tex]

⇒ [tex]300 - 3x^{2} =0[/tex]

⇒[tex]300 = 3x^{2}[/tex]

⇒ [tex]x^{2} =100[/tex]

⇒ x = ± 10

⇒ x= 10 feet  (x = -10 not possible)

So, h = [tex]\frac{300-100}{10} = 20feet[/tex]

Hence, the height and side of the box for the maximum volume are 20 feet and 10 feet respectively.

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Based on what you've read, answer the following questions.


What number, when substituted for x in the following problem, will make the problem true?

6x + 8x = 10x


How can you insert two radical signs in the following problem to make it true?

5 = 4 + 4 + 4⁄4


Square the following numbers.

a. 4

b. 6

c. 13

d. 10


Cube the following numbers.

a. 1

b. 2

c. 4

d. 8


Rewrite the following exponential abbreviations as multiplication problems.

a. 22

b. 84

c. 123

d. 205


Write the following multiplications as exponential abbreviations.

a. 5 × 5

b. 7 × 7 × 7 × 7

c. 2 × 2 × 2

d. 9 × 9 × 9 × 9 × 9


Write the values of the following exponential abbreviations.

a. 33

b. 142

c. 125

d. 90

e. 44

f. 171


Rewrite each number using scientific notation.

a. 7,600

b. 23,400

c. 167,000

d. 2,000,000,000


Rewrite each scientific notation as a regular number.

a. 9.7 × 104

b. 7 × 105

c. 8.97 × 107

d. 3.2 × 1010


Find each of the following square roots. (Hint: All examples are perfect squares.)

a. √16

b. √169

c. √64

d. √400


ANSWER:
1.If you substitute the number 2 for x in the problem, you’ll make it true.

a.6x + 8x = 10x

b.62 + 82 = 102

c.36 + 64 = 100

d. 100 = 100

2. Insert two radical signs into the problem like this to make it true:

5 = 5 √4 + √4 + 4⁄4

5 = 2 + 2 + 1

5 = 5

3. a. 42 = 4 × 4 = 16

b. 62 = 6 × 6 = 36

c. 132 = 13 × 13 = 169

d. 102 = 10 × 10 = 100

4. a. 13 = 1 × 1 × 1 = 1

b. 23 = 2 × 2 × 2 = 8

c. 43 = 4 × 4 × 4 = 64

d. 83 = 8 × 8 × 8 = 512

5. a. 2 × 2

b. 8 × 8 × 8 × 8

c. 12 × 12 × 12

d. 20 × 20 × 20 × 20 × 20

6. a. 52

b. 74

c. 23

d. 95

7. a. 33 = 3 × 3 × 3 = 27

b. 142 = 14 × 14 = 196

c. 125 = 12 × 12 × 12 × 12 × 12 = 248,832

d. 90 = 1 (Any number to the zero power equals 1.)

e. 44 = 4 × 4 × 4 × 4 = 256

f. 171 = 17 (Any number to the first power equals itself.)

8. a. 7.6 × 103

(103 = 1,000 and 7.6 × 1,000 = 7,600)

b. 2.34 × 104

(104 = 10,000 and 2.34 × 10,000 = 23,400)

c. 1.67 × 105

(105 = 100,000 and 1.67 × 100,000 = 167,000)

d. 2 × 109

(109 = 1,000,000,000 and 2 × 1,000,000,000 = 2,000,000,000)

9. a. 97,000

(9.7 × 10 × 10 × 10 × 10 = 97,000)

b. 700,000

(7 × 10 × 10 × 10 × 10 × 10 = 700,000)

c. 89,700,000

(8.97 × 10 × 10 × 10 × 10 × 10 × 10 × 10 = 89,700,000)

d. 32,000,000,000

(3.2 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 = 32,000,000,000)

10. a. 4 (4 × 4 = 16)

b. 13 (13 × 13 = 169)

c. 8 (8 × 8 = 64)

d. 20 (20 × 20 = 400)

Answers

Answer:

If you substitute the number 2 for x in the problem, you’ll make it true.

6x + 8x = 10x

62 + 82 = 102

36 + 64 = 100

100 = 100

Insert two radical signs into the problem like this to make it true:

5 = 5 √4 + √4 + 4⁄4

5 = 2 + 2 + 1

5 = 5

a. 42 = 4 × 4 = 16

b. 62 = 6 × 6 = 36

c. 132 = 13 × 13 = 169

d. 102 = 10 × 10 = 100

a. 13 = 1 × 1 × 1 = 1

b. 23 = 2 × 2 × 2 = 8

c. 43 = 4 × 4 × 4 = 64

d. 83 = 8 × 8 × 8 = 512

a. 2 × 2

b. 8 × 8 × 8 × 8

c. 12 × 12 × 12

d. 20 × 20 × 20 × 20 × 20

a. 52

b. 74

c. 23

d. 95

a. 33 = 3 × 3 × 3 = 27

b. 142 = 14 × 14 = 196

c. 125 = 12 × 12 × 12 × 12 × 12 = 248,832

d. 90 = 1 (Any number to the zero power equals 1.)

e. 44 = 4 × 4 × 4 × 4 = 256

f. 171 = 17 (Any number to the first power equals itself.)

a. 7.6 × 103

(103 = 1,000 and 7.6 × 1,000 = 7,600)

b. 2.34 × 104

(104 = 10,000 and 2.34 × 10,000 = 23,400)

c. 1.67 × 105

(105 = 100,000 and 1.67 × 100,000 = 167,000)

d. 2 × 109

(109 = 1,000,000,000 and 2 × 1,000,000,000 = 2,000,000,000)

a. 97,000

(9.7 × 10 × 10 × 10 × 10 = 97,000)

b. 700,000

(7 × 10 × 10 × 10 × 10 × 10 = 700,000)

c. 89,700,000

(8.97 × 10 × 10 × 10 × 10 × 10 × 10 × 10 = 89,700,000)

d. 32,000,000,000

(3.2 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 = 32,000,000,000)

a. 4 (4 × 4 = 16)

b. 13 (13 × 13 = 169)

c. 8 (8 × 8 = 64)

d. 20 (20 × 20 = 400)

Step-by-step explanation:

pf

Answer:

1. If you substitute the number 2 for x in the problem, you’ll make it true.

6x + 8x = 10x

62 + 82 = 102

36 + 64 = 100

100 = 100

2. Insert two radical signs into the problem like this to make it true:

5 = 5 √4 + √4 + 4⁄4

5 = 2 + 2 + 1

5 = 5

3. a. 42 = 4 × 4 = 16

b. 62 = 6 × 6 = 36

c. 132 = 13 × 13 = 169

d. 102 = 10 × 10 = 100

4. a. 13 = 1 × 1 × 1 = 1

b. 23 = 2 × 2 × 2 = 8

c. 43 = 4 × 4 × 4 = 64

d. 83 = 8 × 8 × 8 = 512

5. a. 2 × 2

b. 8 × 8 × 8 × 8

c. 12 × 12 × 12

d. 20 × 20 × 20 × 20 × 20

6. a. 52

b. 74

c. 23

d. 95

7. a. 33 = 3 × 3 × 3 = 27

b. 142 = 14 × 14 = 196

c. 125 = 12 × 12 × 12 × 12 × 12 = 248,832

d. 90 = 1 (Any number to the zero power equals 1.)

e. 44 = 4 × 4 × 4 × 4 = 256

f. 171 = 17 (Any number to the first power equals itself.)

8. a. 7.6 × 103

(103 = 1,000 and 7.6 × 1,000 = 7,600)

b. 2.34 × 104

(104 = 10,000 and 2.34 × 10,000 = 23,400)

c. 1.67 × 105

(105 = 100,000 and 1.67 × 100,000 = 167,000)

d. 2 × 109

(109 = 1,000,000,000 and 2 × 1,000,000,000 = 2,000,000,000)

9. a. 97,000

(9.7 × 10 × 10 × 10 × 10 = 97,000)

b. 700,000

(7 × 10 × 10 × 10 × 10 × 10 = 700,000)

c. 89,700,000

(8.97 × 10 × 10 × 10 × 10 × 10 × 10 × 10 = 89,700,000)

d. 32,000,000,000

(3.2 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 = 32,000,000,000)

10. a. 4 (4 × 4 = 16)

b. 13 (13 × 13 = 169)

c. 8 (8 × 8 = 64)

d. 20 (20 × 20 = 400)

Step-by-step explanation:

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