Answers
Tan(angle) = Opposite side length/adjacent side lenght
Tan(49 deg) = h/900
Multiply both sides by 900:
900* tan(49deg) = h
Throw it into a calculator
h ≈ 1035.331566
Answer:
SOH-CAH-TOA
Tan(angle) = Opposite side length/adjacent side lenght
Tan(49 deg) = h/900
Multiply both sides by 900:
900* tan(49deg) = h
Throw it into a calculator
h ≈ 1035.331566
Step-by-step explanation:
Related Questions
you are given numbers, {30 + n, n/3, square root n+16}. Find the smallest value of n so that all of the numbers in the set are natural numbers.
Answers
========================================================
Explanation:
Let's assume that n is not negative. If we tried the smallest nonnegative value, n = 0, then we get
30+n = 30+0 = 30n/3 = 0/3 = 0sqrt(n+16) = sqrt(0+16) = 4The middle result 0 isn't a natural number. The set of natural numbers is {1,2,3,4,...} which is the set of positive whole numbers.
So we can't use n = 0.
Through trial and error, you should find that n = 9 is the next value we can try such that sqrt(n+16) is a natural number, and so is n/3.
If n = 9, then,
30+n = 30+9 = 39n/3 = 9/3 = 3sqrt(n+16) = sqrt(9+16) = 5We see that the middle result is now larger than 0 and it's a natural number. The same can be said for the last result as well.
The smallest value of n = 9 is that all of the numbers in the set are natural numbers in {30 + n, n/3, √(n+16)}.
What are Natural Numbers?Natural numbers are defined as which range from 1 to infinity, are the most fundamental sort of numbers. Commonly known as positive numbers or counting numbers, these numbers. Natural Numbers are represented by the symbol N.
Assume n is not negative for the whole number. Using n = 0, the smallest nonnegative value, we obtain
30 + n = 30 + 0 = 30
n/3 = 0/3 = 0
√(n+16) = √(0+16) = 4
In the middle result, 0, there is no natural number. The set of positive whole numbers starting with {1, 2, 3, 4, ..} is known as the natural numbers.
Therefore, n = 0 is not a possibility.
We have to determine by trial and error that n = 9 is the next possible value we may test such that √(n+16) is a natural number and so is n/3.
If n = 9, then,
30 + n = 30 + 9 = 39
n/3 = 9/3 = 3
√(n+16) = √(9+16) = 5
The middle result, which is now greater than 0, is a natural number, as can be shown. The final outcome also corresponds to this description.
Thus, the smallest value of n = 9 is that all of the numbers in the set are natural numbers.
Learn more about Natural Numbers here :
https://brainly.com/question/17429689
#SPJ2
What would be the most logical first step for solving this quadratic equation?
x2 + 2x + 13 = -8
A. Divide both sides by x
B. Take the square root of both sides
Ο Ο
C. Add 8 to both sides
D. Subtract 13 from both sides
Answers
Answer:
C. Add 8 to both sides
Step-by-step explanation:
This is done in order to equate the equation to zero so that it relates to the general equation.
[tex] {ax}^{2} + bx + c = 0[/tex]
c is (13 + 8)
Kelsey deposited $3,600 in a bank account with annual interest rate 4.25%. How much interest was earned in 5 years?
Answers
Answer:
in 1year =4.25%in 5year=xthen 1=4.25%5=x then cross x=4.25%*5=21.25%Answer:
$765
Step-by-step explanation:
If an amount of money, P, called the principal, is invested for a period of t years at an annual interest rate r, the amount of interest, I, earned is given by
I =Prt where
I =interest
P =principal
r =rate
t =time
The following information is given.
Prt=$3,600=4.25%=5 years
Substituting the given information into the simple interest formula and solving for I gives
I =Prt
I =(3,600)(0.0425)(5)
=765
The amount of interest Kelsey earned in 5 years was $765.
1. Write an equivalent
ratio by multiplying:
1
-
4
Answers
Answer:
2 4
- _
8 16
Step-by-step explanation:
1 2
- X -
4 2
Or
1. 4
- X -
4. 4
decomponha o número 52.489
Answers
Answer:50.000+2000+400+80+9
Step-by-step explanation:
Answer:
50.000 + 2.000 + 400 + 80 + 9
Answer with Solution
Answer with Solution
Answer with Solution
Answer with Solution
Answer with Solution
Answers
Answer:
-5
Step-by-step explanation:
-3x + 7 < 11
-3(-5) + 7 < 11
Multiplying two negatives together, makes a positive number.
15 + 7 < 11
22 < 11
22 less than 11 is false, therefore -5 is the correct answer.
The correct answer is 4
Here's the Solution:
- 3x + 7 ‹ 11Transpose 7 to the right side
- 3x ‹ 11 - 7Now subtract 11 and 7
- 3x ‹ 4HOPE THIS HELPS. GOODLUCK:)
from information find out measure of angle ABF
Answers
Answer:
if 9x = 180 degree
Step-by-step explanation:
one x equal to 20 degree
and if 3x= 60 degree the ? = 120 degree
Answer:
∠ ABF = 120°
Step-by-step explanation:
HCI is a straight line , so
3x + 2x + 4x = 180 , that is
9x = 180 ( divide both sides by 9 )
x = 20
∠ ABF and ∠ BCI are corresponding angles and are congruent , so
∠ ABF = 2x + 4x = 6x = 6(20) = 120°
Sam baked an equal number of sausage buns and
custard buns. During the day, 68 sausage buns were
sold. Sam also baked another 27 custard buns to meet a last-minute
order. At the end of the day, Sam had baked 6 times as many custard
buns as the number of sausage buns remaining. How many sausage
buns did Sam bake at first?
Answers
Answer:
87
Step-by-step explanation:
number of sausage buns = s
number of custard buns = c
at the start of the day, s = c
at the end of the day
c+27=6(s-68)
since c = s,
s+27=6(s-68)
s+27=6s-408
-5s = -435
s=87
Let us represent:
The number of sausages baked at first = s
The number of custard buns baked at first = c
During the day, 68 sausage buns were sold. This can be expressed using algebraic equations as:s - 68
Sam also baked another 27 custard buns to meet a last-minute order. This can be expressed using algebra as:c + 27
At the end of the day, Sam had baked 6 times as many custard buns as the number of sausage buns remaining.Hence:
c + 27 = 6 (s - 68)
c + 27 = 6s - 408
Note: Sam baked an equal number of sausage buns and custard buns. This means:c = s
Hence,
c + 27 = 6s - 408
s + 27 = 6s - 408
Collect like terms
408 + 27 = 6s - s
435 = 5s
Divide both sides by 5
435/5 = 5s/5
s = 87
Therefore, the number of sausage buns Sam baked at first is 87 sausage buns.
To learn more, visit the link below:
https://brainly.com/question/2237530
What od linear algebra exactly?
Answers
Answer:
Linear algebra is the study of lines and planes, vector spaces and mappings that are required for linear transforms. It is a relatively young field of study, having initially been formalized in the 1800s in order to find unknowns in systems of linear equations.
mark me a brainlistIf we fold 1 mm of cardstock in half and fold it again in half we have a stack of 4 layers that is 4 mm high . If we fold the cardstock in haf 10 times how thick would the stack of cardstock layers be
Answers
Answer:
1024mm
Step-by-step explanation:
1. Fold it would be 2mm
2.Fold It would be 4mm
3.Fold 8mm
4.Fold 16 mm
5.Fold 32mm
6.Fold 64mm
7.Fold 128mm
8.Fold 256mm
9.Fold 512mm
10 Fold 1024mm
The answer is 2¹⁰mm or 1024mm
PLEASE HELPPP Which number is farthest to the right on a number line? O A. -15 O B. -1 ос. О O D. 1
Answers
Answer:
D,1
Step-by-step explanation:
All of the others are negatives, which are to the left. Since 1 is positive, it's the farthest to the right
The value of 8 in 780,401 is than the value of the 8 in 2,806
Answers
Answer: greater
I hope that was what you were looking for...
Solve for v.
V
4
9
12
Simplify your answer as much as possible.
Answers
Answer:
V = 3.
Step-by-step explanation:
(I'll try.)
v/9 = 4/12
you cancel the common factor which is four.
next, you multiple both sides by nine, which make:
9v
_ = 1 , 9
_____
9 3
,,
and I guess you simplify it, and then it becomes V = 3.
I suck at explaining, so you'll just have to trust me by word.
2) There's 5 blue, 2 orange, and 7 green
candy's in a bag, What's the probability of
picking an orange not replacing and then
picking a green?
Answers
To pick an orange first, you have 2/14 chance. (2 orange out of 14 possible)
To pick a green next, you have 7/13 chance. (7 green out of 13 remaining possible)
Total probability is 2/14 * 7/13 = 2/26 = 0. 07692307692. Or about 7.7% chance.
Find the cube of (x+y) 3
Answers
Answer:
cube +27x+27
Hope it is helpfull
Answer:
[tex]x^3+y^3[/tex]
Step-by-step explanation:
[tex]I[/tex] [tex]hope[/tex] [tex]this[/tex] [tex]helped[/tex] [tex]you![/tex]
-[tex]RoseCordelia[/tex]
Please anyone assist me solve those two mathematics questions.
Answers
Answer:
1) The polar form of that equation will be r= √5cos(2θ)
2) i am stuck on this one (sorry)
Step-by-step explanation:
(i) We know that [tex]x = r\cos{\theta}\:\text{and}\:y = r\sin{\theta}.[/tex] So we can write the given equation as
[tex]r^2\cos^2\theta - r^2\sin^2\theta = 5[/tex]
[tex]\Rightarrow r^2(\cos^2\theta - \sin^2\theta) = 5[/tex]
[tex]r^2 = \dfrac{5}{(\cos^2\theta - \sin^2\theta)}[/tex]
[tex]\:\:\:\:\:=\dfrac{5}{\cos{2\theta}} = 5\sec{2\theta}[/tex]
(ii) Recall that
[tex]\cot{\theta} = \dfrac{\cos{\theta}}{\sin{\theta}}[/tex]
[tex]\csc{\theta} = \dfrac{1}{\sin{\theta}}[/tex]
so we can write r as
[tex]r = 8\cot{\theta}\csc{\theta}[/tex]
[tex]\:\:\:\:= 8\left(\dfrac{\cos{\theta}}{\sin{\theta}}\right)\left(\dfrac{1}{\sin{\theta}}\right)[/tex]
[tex]\:\:\:\:= 8\left(\dfrac{x}{y}\right)\!\left(\dfrac{r}{y}\right) = \dfrac{8xr}{y^2}[/tex]
Upon simplification, we get
[tex]y^2 = 8x[/tex]
I don’t get it please help me out
Answers
Answer:
Step-by-step explanation:
1
When the slope is positive, the graph goes from the lower left to the upper right.
Suppose the graph is y = 0.8x + 2. See the inserted graph to see what happens. See the first graph downloaded to see what the above sentence means. The graph is in red.
2
when b>0 the y intercept is above the x axis. The second graph is y = x + 5. It is in blue. The red graph is the same one as the one above.
Sorry, I'm only allowed 1 download. But the red line is for part 1 and the blue line is for part 2.
Review the following problem and answer the questions that follow.
Problem: 23 - (-2)
Answer: 21
1) Where did I make the mistake?
2) What suggestion would you give me to avoid making that same mistake in the
future?
Answers
you forgot the main part!
the correct answer is 25
.
your sign will be + not - because when you multiply two negative signs It will be positive
Select the matrix multiplication that transforms vector A to
vector B
Answers
Answer:
Option C.
Step-by-step explanation:
Notice that only option B and C involves the vectors in transformation
[tex]A=\begin{bmatrix}4\\2\end{bmatrix}, B=\begin{bmatrix}-8\\-4\end{bmatrix}[/tex]
However, option B is not a defined multification since the dimension of both matrices are not matching. Vector A is 2x1 but the second matrix is 2x2.
Which fraction is equivalent to 7/8 ?
A. 5/6
B. 17/18
C. 21/24
D. 49/64
Answers
Answer:
C.21/24 it is equivalent fraction to the 7/8
Step-by-step explanation:
7×3=21
8×3=24
Answer:
C
Step-by-step explanation:
If you divide both the numerator and denominator of 21/24 by 3, you will get 7/8. Therefore, 7/8 is essentially the simplified form of 21/24.
James had a peach that was 98 \text{ mm}98 mm98, start text, space, m, m, end text in diameter. One day he watered it with a magical solution, and it grew to 188{,}869 \text{ mm}188,869 mm188, comma, 869, start text, space, m, m, end text in diameter.
Approximately how many times as large did the diameter of the peach become after James watered it?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
2 \cdot10^32⋅10
3
2, dot, 10, cubed
(Choice B)
B
9 \cdot10^39⋅10
3
9, dot, 10, cubed
(Choice C)
C
2 \cdot10^42⋅10
4
2, dot, 10, start superscript, 4, end superscript
(Choice D)
D
9 \cdot10^49⋅10
4
9, dot, 10, start superscript, 4, end superscript
Answers
9514 1404 393
Answer:
A. 2×10³
Step-by-step explanation:
The ratio of diameters is ...
(189,869 mm)/(98 mm) ≈ 1927.3 ≈ 2000 = 2×10³
The diameter of the peach became about 2×10³ times as large.
A small publishing company is planning to publish a new book. The production costs will include one-time fixed costs (such as editing) and variable costs (such
as p rinting). There are two production methods it could use. With one method, the one-time fixed costs will total $16,465, and the variable costs will be $20.50
per book. With the other method, the one-time fixed costs will total $37.815, and the variable costs will be $11.75 per book. For how many books produced will
the costs from the two methods be the same?
Answers
9514 1404 393
Answer:
2440
Step-by-step explanation:
The difference in fixed costs is ...
37815 -16465 = 21350
The difference in variable costs is ...
20.50 -11.75 = 8.75 . . . . per book
Then the number of books that must be produced for the difference in variable costs to be equal to the difference in fixed costs is ...
21350/8.75 = 2440
For production of 2440 books, the costs of the two methods will be the same.
_____
Additional comment
You can write expressions for total cost of each production method. When you set them equal and solve for the number of books, you find the math you end up doing is the same as that shown above.
Please urgent
please solve
Answers
Answer:
1
Step-by-step explanation:
steps are in picture.Ignore hand writing
YOU WILL GET 100 POINTS!!
Y=4+∣9-16∣
Answers
Answer:
y = 11Step-by-step explanation:
y = 4 + |9 - 16| =
4 + | - 7| =
4 + 7 =
11
An absolute value is always positive:
|a| = a, if a > 0|a| = -a, if a < 0Done
Need help solving theses
Answers
a. f(x) = 10
b. f(x) = -46
c. x = 5
d. f(x) = sqrt(-2) + 1
e. f(x) = -5
f. x = 10
14. The cost of 10 dozen of caps is Rs.800. How many caps can bebought for Rs.200.
Answers
Answer:
Step-by-step explanation:
10 dozen is equal to 120 so ratio is 800/120 or 80/12
same ration on the other side but 200/x.Cross multiply and u get 3
6 divided by 2 times in brackets 1 plus 2
Work this out please.
Answers
Answer:
9
Step-by-step explanation:
Answer: 12
Step-by-step explanation:
Given worded expression
6 divided by 2 times in brackets 1 plus 2
Convert wordings to numerical expression
6 ÷ 2 × (1 + 2)
Simplify value in parentheses/brackets
=6 ÷ 2 × 3
Simplify by division
=3 × 4
Simplify by multiplication
=[tex]\boxed{12}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used Match each value to the correct expression 8, 22, 27 ,5, 15 ,0
Answers
Step-by-step explanation:
1. 27
2. 15
3. 22
Help please!!! I’m having trouble and don’t know how to word any of this or what to do!
Answers
Answer:
Multiply 7*3
.
5
x√x21
your answer is 5x in square root power of 21
A TV station has 11 minutes of commercials for each 60 minutes of air time. What percent
of air time is used for commercials?
Answers
Answer: Approximately 18.33%
Work Shown:
11/60 = 0.1833 approximately
This decimal converts to 18.33% when moving the decimal point over to the right two spots. Round this value however you need to.