Answers
The bearing form the cliff to the island is 58.09 degrees
How to determine the bearing form the cliff to the islandInformation 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
Learn more about SOH CAH TOA here:
https://brainly.com/question/29402966
https://brainly.com/question/29334128
#SPJ1
Related Questions
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)
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.
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!
100 points!!! Show your work on paper
Answers
Answer:
10 cm, 15 cmStep-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 = 11Find the values of AC and CB:
AC = x - 1 = 11 - 1 = 10 cmCB = x + 4 = 11 + 4 = 15 cmAnswer:
AC=10cm
BC=15cm is your answer
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.
Learn more about miles here: https://brainly.com/question/20930272
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.
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 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
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:
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!
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.
How is tha main carecter of the rear
Answers
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
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
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
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%.
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
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
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.
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 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
Answer:
A.
Step-by-step explanation:
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
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 cuboidvolume = 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.
Learn more about volume here:
https://brainly.com/question/1578538
#SPJ2
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
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.
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! I need to turn this in today!
Answers
Answer:
45
Step-by-step explanation:
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.
Can you guys help me answer this? It's kinda urgent
Answers
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:
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)