Answers
Answer:
18a) The height of tree is 6.34ft.
Diagram We would scale a right side triangle showing side; 6.34ft x base 13.59ft x 15cm slope.
b) 11.54 degree
Step-by-step explanation:
18a) sin(25) = 0.4226182617 is what you multiply to check the height.
15 x 0.4226182617 = 6.339273926 = 6.34ft.
Using the measurements of pythagoras you can scale each measurement above. 6.34 = (x0.5) = 3.17cm to draw the trees height.
15ft wire = scale the diagram draw 1cm = 2ft So that 7.5cm = = 15ft
Draw a right angle triangle and before creating the slope use protractor or guess 25 degree at bottom of slope and label it.
This will make a 7.5cm slope and label it 15ft.
We also measure out the base which on scale cm per foot is 13.59 x 0.5 = 6.80cm and label it 13.59ft.
We find the base measurement by finding the square of each 15 and 6.34
c^2 - a^2 = b^2
a= 6.34 x 6.34 = 40.1863939089 = √40.19
c = 15 x 15 = √225
c-b = √225 - √40.19 = √184.81
side = b
b^2 = √184.81= 13.5944841756 = 13.59ft
18 b) To find an angle x with given measurements 4ft base and 20ft slope we
use sin( base/slope) = (run/rise)
So that 4/20 = 0.2
Then plug in for sin -1 0.2 = 11.54 degree = (calc ..11.53695903)
Notes;
If 4ft base was not given and the height of wall was given we would do the same using base as run and slant as run run/rise but we would substitute sin-1 and after division run/rise we would plug in the decimal to cos-1 (decimal).
Related Questions
Jake received a student loan for $12,000. He plans on paying off the loan in five years. At the end of five years, J. Cole have paid $3600 in interest. What is a simple interest rate on the student loan?
Answers
Answer:
The simple interest rate on the student loan is 6%.
Step-by-step explanation:
To solve for the simple interest rate, use the formula for total simple interest:
[tex]I = Prt[/tex]
[tex]I[/tex] = total interest paid
P = principal, or starting value
r = interest rate in decimal form
t = time in years
State known values
P = 12,000
t = 5
[tex]I[/tex] = 3,600
Substitute known values and isolate "r"
[tex]I = Prt[/tex]
3,600 = (12,000) (r) (5)
3,600 = (60,000) r
r = 0.06
Since "r" is given as a decimal, convert this to a percentage by multiplying by 100.
0.06 = 6%
∴ The simple interest rate on the student loan is 6%.
Answer=6%
Step-by-step explanation:
Principal(P)=12000
Time(T)=5 yrs
Interest(I)=3600
We have,
I=PTR/100
3600=(12000*5*R)/100
3600*100=60000*R
R=360000/60000
R=6%
1/2 +2/6
A)
1
_
6
B)
3
_
8
C)
5
_
6
D)
5
_
5
Answers
So the right answer is 5/6.
Look at the attached picture
Hope it will help you
Good luck on your assignment
Answer:
[tex] \frac{5}{6} [/tex]
Answer C is correct.Step-by-step explanation:
[tex] \frac{1}{2} + \frac{2}{6} \\ \frac{6 + 4}{6 \times 2} \\ \frac{10}{12} \frac{ \div 2}{ \div 2} \\ = \frac{5}{6} [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
A triangle has a leg with a length of 3 and a hypotenuse with a length of 6.What is the length of the other leg?
Answers
Answer:
3[tex]\sqrt{3}[/tex]
Step-by-step explanation:
Using Pythagoras' identity on the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.
let x be the length of the other leg, then
x² + 3² = 6², that is
x² + 9 = 36 ( subtract 9 from both sides )
x² = 27 ( take the square root of both sides )
x = [tex]\sqrt{27}[/tex] = [tex]\sqrt{9(3)}[/tex] = [tex]\sqrt{9}[/tex] × [tex]\sqrt{3}[/tex] = 3[tex]\sqrt{3}[/tex] ← exact value
The measure of an angle is 15⁰. What is the measure of a complementary angle?
Answers
Answer:
75
Step-by-step explanation:
Because to find a complementary angle you take 90 and subtract it from the angle you already have, then that would be your answer. Complimentary angles are a pair of angles that add up to 90.
Jay borrows $8,000 at a rate of 1.9% interest per year. What is the amount due at the end of 6 years if the interest is compounded continuously?
$8,965.21
$10,027.21
$8,966.02
$25,014.15
Pleeeease show your work on how you solved it because I keep getting 8,962.90 which isn't an option and last time I asked this question, no one explained how to solve it
Answers
Interest formula: A = Pe^rt
A = amount
P = principal amount
r = interest rate
t = time
We know that in the question we have:
P = 8,000
r = 0.019
t = 6
Now, solve with the given values:
A = 8000e^(0.019*6)
A = 8000e^(0.114)
A = 8966.016...
Round to the nearest hundredth:
8966.016... → 8,966.02
Therefore, the answer is [ $8,966.02 ]
Best of Luck!
Answer:
$8,966.02
Step-by-step explanation:
Amount = 8000 × e^(6 × 1.9/100)
Amount = 8000 × e^0.114
Amount = 8966.016999
What’s the additive inverse of -10 1/4
Answers
Answer:
3/7 -1/4
Step-by-step explanation:
Answer:
3/7 -1/4
Step-by-step explanation:
2. Use the image below to answer the question.
D
E
F
Using the segment addition postulate, find the length of segment EF.
Answers
Answer:
26
Step-by-step explanation:
I subtracted DF and DE to find the missing difference for the segment EF. I'm not sure if this is correct though. I hope it helps.
The length of line segment EF is 26.
What is a line segment ?A line segment is a subset of a line which has two endpoints.
A ray has one end point and extends indefinitely on the other direction.
A line extends indefinitely on both of it's directions.
From the given data
Line segment DF has a length 38 and line segment DE has a length 12.
To find the length of line segment EF we have to subtract the length of line segment DE from length segment DF.
∴ EF = DF - DE
EF = 38 - 12'
EF = 26.
So, the line segment EF has a length of 26.
Learn more about Line segments here :
https://brainly.com/question/25727583
#SPJ6
The number of hours worked by the employees of Bob's Car Wash in one week are listed.
20, 40, 30, 36, 36, 40, 39, 36, 38
The mean is 35 hours per week and the median is 36 hours per week.
Which statement best explains why the mean is less than the median?
O
A. There are only 9 employees.
O
B. Nobody works more than 40 hours.
O
c. The smallest number is half the largest.
O
d. One worker works much fewer hours than everyone else.
PLEASE HURRY
Answers
Answer:
Option D
One worker works for much fewer hours than everyone else
Step-by-step explanation:
First of all, we will need to clarify the concepts.
The median of a distribution is the middle number in that distribution, after the values have been arranged in either an ascending or descending order.
The mean is a weighted average of a distribution.
The mean has the characteristic of usually being affected by extremely low or extremely high values.
In our case, we have a relatively low value in terms of hours worked. This means that in the distribution, the worker that worked only 20 hours, will affect the mean hours worked by all the workers, making it lower than the median value.
Means give better results, when used to analyse distributions with smaller ranges.
PLEASE HELP - Select the TWO sets of points that CANNOT belong to a linear function.
Answers
We see for each row the x coordinates are in arithmetic progression, with a constant difference between successive points. For example in A x coordinates 3-5=1-3. So for this to be a line, the same has to be true of the y coordinates; they have to be in arithmetic progression.
A. 5/2, 3/2, 1/2 is just 5,3,1 (constant factors don't matter) so those are in arithmetic progression like the x coordinates so we have a line.
B. 1/2, 1, 3/2. In AP, a line
C. -1/2, -1/3, -1/4 multiplying by common denominator -12 makes 6, 4, 3. Those aren't in arithmetic progression. Not a line.
D. 2,3,4 in AP, a line.
E. 3/4, 1 3/4, 2 3/4 mixed numbers but obvious AP.
Answer: C
Sophia invests 12,500 in an account that earns 4% annual simple intrest. Assuming she makes no addititonal deposits or withdraws, how much intrest will Sophia earnafter 3 years?
Answers
Answer:
$3,125
Step-by-step explanation:
Answer:
1440
Step-by-step explanation:
obtain all the zeros of the polynomial f[x]=x^4-3x^2-x^2+9x-6 if two of its zeros are-√3 and√3
Answers
Answer:woah
Step-by-step explanation:
The dimensions of a figure are doubled, how many times larger will the volume be? Only enter numerical answers
Answers
Answer:if you double all of the dimensions of a rectangular prism, you create a similar prism with a scale factor of 2. The surface area of the similar prism will increase as the square of the scale factor (22 = 4) and the volume will increase as the cube of the scale factor (23 = 8).
Step-by-step explanation:
Scale factor are used to increase or diminish the original figrure. The new volume will be 8times larger than the initial volum
Scale factorsScale factor are used to increase or diminish the original figrure.
Assume the original dimension of the figure is a, b and c, the volume of te figure will be expresed as:
A = length * width * heiht
A = abc
If the measure of the sides are doubled, hence;
New volume = 2a * 2b * 2c
New volume = 8abc
Ratio = 8abc/abc
Ratio = 8
Hence the new volume will be 8times larger than the initial volume
Learn more on volume of a figure here: https://brainly.com/question/511679
A bag contains 28 marbles: 9 black, 14 red, and 5 blue. A marble is drawn from the bag at random.
What is the probability of getting a red or blue marble? Write answer as SIMPLIFIED FRACTION.
ASAP
Answers
Answer:
steps
1) 14/28 to convert to a percent you have to first divide the numerator from the demoninator and then you multiply by 100 and you get get %50 (you could had known bc 14 is half of 28)
2) 5/28 do the same thing as the first step and get %17.85
-Feel free to ask for more help :)
Given:
m∠QPS=107∘
m∠RPS=4x+27∘
m∠QPR=9x-115∘
Find m∠QPR
**This was on Khan Academy, so please hurry lol**
Answers
Answer:
m∠QPR = 20°
Step-by-step explanation:
If we make a sketch of the triangle, it will be observed, that line R bisects angle P.
Considering Triangle, ΔQPS;
∠QPS=107∘
Considering triangle, QPR;
∠QPR=9x-115∘
Considering triangle, RPS;
∠RPS=4x+27∘
Thus, ∠RPS + ∠QPR = ∠QPS
4x+27° + 9x-115° = 107°
13x - 88° = 107∘
13 x = 107∘ + 88∘
13x = 195°
x = 195°/13
x = 15°
m∠QPR = 9x - 115°
= (9 x 15) - 115°
= 135° - 115°
= 20°
Therefore, m∠QPR = 20°
A square pyramid has a base side length of 20.4cm and a height of 18.2cm which square pyramid is similar
Answers
Answer:
C) base side length = 30.6 cm, height = 27.3 cm
Step-by-step explanation:
Answer:
c on ed
Step-by-step explanation:
Solve the equation for all values of x by completing the square.
3x^2-60x+255=0
Answers
Answer:
x=5 and x=15
Step-by-step explanation:
3x^2-60x+225=0
3x^2-60x+225/3=0/3
x^2-20x+75=0
x^2-5x-15x+75=0
x(x-5)-15(x-5)=0
(x-5)(x-15)=0
x-5=0 x-15=0
x=5 x=15
Is 3x+0y a monomial, binomial or trinomial?
Answers
Answer:
trinomial
Step-by-step explanation:
it has 3 terms. an expression with three terms is a trinomial.
(mark as brainliest)
Answer:
the answer would be monomial
because there is one term it is 3x
0y is not term
Which of the following properly describe “slope”?
Answers
Answer:
#3 1/2
Step-by-step explanation:
if you start where the line and the boxes in the graph line up like at (0,-2) and then you go up 1 and right 2 the line will be there again line up with the boxes and since slope is rise/run it is 1/2
Write the expression: 3 divided by the sum of x and 9. A) 3 + 9 x B) x 3 + 9 C) x + 9 3 D) 3 x + 9
Answers
how: 3 divided by the SUM or x and 9
sum means to add and therefore we have x+9 on the denominator.
4x+8y=-4
-5x + 3y=-21
(3-2)
Answers
Answer:
x + 2y + 1 = 0
-5x+3y-21 = 0
(3-2) = 1
Help!!! On a piece of paper graph then determine which answer choice matches the graph you drew
Answers
Answer:
C
Step-by-step explanation:
You read piece wise as
2 turns on at x = -5, then turns off at x = - 1 and so on
Simple Probability - Item 20781
Question 4
Which of the following events has a probability closest to 1?
CLEAR
CHECK
It will snow in July in Phoenix, Arizona.
If you roll a die, it will come up with an even number.
If you flip a coin, it will come up either heads or tails.
The next child born in the United States will be a girl.
O
Answers
Answer:
C. If you flip a coin, it will come up either heads or tails.
Step-by-step explanation:
A. My guess is it doesn't rain much in Phoenix in July. A probability of 1 means it will happen for sure, so this is not it.
B. A die has 3 even numbers and 3 odd numbers. The probability of rolling an even number is 3/6 = 0.5. This is not it.
C. If you flip a coin, you either get heads or tails. The probability of heads or tails is 1 since one of the two outcomes will always happen. This is the answer.
D. The probability of the birth of a girl is 1 out of 2, so it is 0.5. This is not it.
Answer:
If you flip a coin, it will come up either heads or tails. It either will fall on heads or tails everytime so that is closest to one.
Step-by-step explanation:
14 is 12 1/2% of what number?
Answers
Answer:
112
Step-by-step explanation:
The edge length of a cube-shaped crate is the square of the edge length of a cube-shaped box. Write an expression for the number of boxes that can fit in the crate.
Answers
Answer:
[tex]s^3[/tex]
where s is the edge length of the cube-shaped box
Step-by-step explanation:
Let the edge length of the cube-shaped box=s
The edge length of a cube-shaped crate is the square of the edge length of a cube-shaped box.
Therefore, edge length of the cube-shaped crate[tex]=s^2[/tex]To determine the number of boxes that can fit in the crate, we first find the volume of the crate and the box.
Volume of the cube-shaped crate of side length [tex]s^2=(s^2)^3=s^6 $ cubic units[/tex]Volume of the cube-shaped box of side length [tex]s=s^3 $ cubic units[/tex]Therefore, the number of boxes that can fit in the crate
=Volume of Crate divided by Volume of Box
[tex]=\frac{s^6}{s^3}\\=s^{6-3}\\=s^3$ boxes[/tex]
Therefore, an expression for the number of boxes that can fit in the crate is [tex]s^3[/tex].
Find the area. Will mark brainliest
Answers
Answer:
54 sq in.
Step-by-step explanation: 9x12= 108 108 divided by 2 = 54
so yeah
PLEASE HELP ITS A GRADE I WILL GIVE 5 STARS AND BRAINLIEST !!!! :)
Answers
Answer: 1 i think is option b, 2 i think is option c, page 2, question 1 i think is option b, question 2 i think is option a, page 3, question 1 i think is option a or b, and the last one i think is option c
Step-by-step explanation: i cant figure out others
What is the value of g?
The image is of a circle with a tangent and a secant, which are intersecting at an angle 38 degrees. Measure of smaller arc cut by them is g degrees and that of bigger arc is 119 degrees.
A. 124
B. 43
C. 100
D. 86
Answers
We have been given a circle with a tangent and a secant, which are intersecting at an angle 38 degrees. We are asked to find the measure of arc g.
We can see that angle with 38 degrees measure is a secant tangent angle outside the circle.
We know that measure of an angle formed by intersection tangent and secant outside circle is half the difference of intercepted arcs.
[tex]38^{\circ}=\frac{1}{2}(119^{\circ}-g^{\circ})[/tex]
[tex]38^{\circ}\cdot 2=\frac{1}{2}\cdot 2(119^{\circ}-g^{\circ})[/tex]
[tex]76^{\circ}=119^{\circ}-g^{\circ}[/tex]
[tex]76^{\circ}+g^{\circ}=119^{\circ}-g^{\circ}+g^{\circ}[/tex]
[tex]76^{\circ}+g^{\circ}=119^{\circ}[/tex]
[tex]76^{\circ}-76^{\circ}+g^{\circ}=119^{\circ}-76^{\circ}[/tex]
[tex]g^{\circ}=43^{\circ}[/tex]
Therefore, the measure of smaller arc is 43 and option B is the correct choice.
Solve this equation for x. Round your answer to
the nearest hundredth.
0 = In(x + 7)
Answers
Answer:
x = -6
Step-by-step explanation:
0 = In(x + 7)
x + 7 = e⁰
x + 7 = 1
x = 1 - 7
x = -6
Steps to solve:
0 = In(x + 7)
~Log definition
e^0 = x + 7
~Simplify
1 = x + 7
~Solve for x
1 - 7 = x + 7 - 7
-6 = x
Therefore, the answer is x = -6
Best of Luck!
Which of the following is a solution to this inequality? Y<2/3x+2
(0,3)
(-3,1)
(3,5)
(1,2)
Answers
Answer:
(1,2)
Step-by-step explanation:
I graphed the inequality on the graph below and found which answer was a solution.
If this answer is correct, please make me Brainliest!
Which could be the missing data item for the given set of data if the
median of the complete data set is 50?
21 23 60 60 50 54 54 59 26 15 43 15
OA) 18
OB) 24
OC) 45
OD) 57
Answers
Explanation:
Answer:
It is D, and or 57
Step-by-step explanation:
