The approximate angle that the ladder makes with the ground is 37 degrees
Angle of elevationThe given question will be solved using the SOH CAH TOA identity.
The given statement will form a right triangle with the following parameters
Hypotenuse = 5m
Height(opposite) .= 3m
Determine the approximate measure of ∠θ
sin ∠θ = opp/hyp
sin ∠θ = 3/5
sin ∠θ = 0.6
∠θ = arcsin(0.6)
∠θ = 37degrees
Hence the approximate angle that the ladder makes with the ground is 37 degrees
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due to inflatation, the cost of harys hot wings grows by 4% every year. this year a dozen hot wings cost 5.99
part a. how much will a dozen hot wings cost next year
part b. how much will a dozen hot wings cost in 2 years
Answer:
Part A : $6.23
Part B : $6.48
Step-by-step explanation:
Let's apply the Simple Interest Formula, which is :
Simple Interest = Principal Amount x Interest rate x Time Period
In one year :
I = 5.99 x 4% x 1I = $0.24Cost = $5.99 + $0.24Cost = $6.23In 2 years :
I = $6.23 x 4% x 1I = $0.25Cost = $6.23 + $0.25Cost = $6.48look at the image and please help
Find the domain in the following
Y=2x+5
Answer
All real numbers or (-∞, ∞)
Step-by-step explanation:
There aren't any X values that can make this linear equation output an invalid results, so we can deduce that the domain is all x values.
Answer:
All Real Numbers
Step-by-step explanation:
The Domain for a function simply is all the possible x values.
When graphing this function, you'll realize that it's continuous and passes all x values.
Additionally, when looking at it, you'll realize you can input any number of your choosing.
When trying to evaluate the domain of other functions, you can look at if any values of x will create an undefined value.
For example, some functions may have x in the denominator, and since the denominator can not be 0, there will be a discontinuity.
Other examples where the domain wouldn't be all real numbers would be if x was under a square root and couldn't be negative, or if the function was a vertical line.
Hope that helps, please let me know if you have any queries.
(a)
Part A
Moira collected some stones at the beach. Now she wants to make a clear plastic container to display the sto
a stones. To plan the container Moura decides that she must find the volume
the stones
Moira has an aquarium that is shaped like a rectangular prism. It is 8 inches wide, 16 inches long and 10 inches high She plans to use the aquarium to find the value of the room
First, Moira pours some water Then Moira puts the stones in
into the aquarium. She
the aquarium. She measures
measures and finds that the and finds that the water
water reaches to a
reaches to a new height of
height of 4 inches.
7 inches
7 in
Bin
4 in
10 in.
10 in
8 in
16 in.
Using this information, find the volume of the stones. Show your work
The volume of the stones will be 384 inch³.he volume of the stone is found by subtracting the volume before stones and the volume after stones in the container.
What is volume?The term “volume” refers to the amount of three-dimensional space taken up by an item or a closed surface. It is denoted by V and its SI unit is in cubic inch.
Volume before the stones are put in the container is;
[tex]\rm V_1 = L bh \\\\ V_1= 4 \times 16 \times 8 \\\\ V_1= 512 \ inch^3[/tex]
The volume after the stones are put in the container is;
[tex]\rm V_2= 7 \times 16 \times 8 \\\\\ V_2= 896 \ inch^3 \\\\[/tex]
The volume of the stone is found by subtracting the volume before stones and the volume after stones;
[tex]\rm V = V_2-V_1 \\\\\ V=896-512 \\\\ V_2= 384 \ inch^3[/tex]
Hence,the volume of the stones will be 384 inch³.
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Molly gives 3% of her paycheck to a charity. If she makes $350 per week, how much goes to the charity?
Answer:
$10.50
trust me
answer:
342$
Step-by-step explanation:
Think about it........................ 77 + 33 =100
A group of friends were working on a student film that had a budget of $1200. They used 62% of their budget on props. How much money did they spend on props?
ANSWER ASSAP PLEASE
Answer:
helloo!!!!
first up first.... i love your profile pic....
oh and the answer is 744..
please read the explanation... it always helps!!
Step-by-step explanation:
alrighty..
so the total budget is 1200, and we want to know how much is 62% of that
so you follow the percent formula as follows:
1200/100= 12 --> 12 x 62= 744 (which is the answer!)
The angle of depression of the top and the foot of a flagpole as seen from the top of a building 145 metres away are 26° and 34° respectively. Find the heights of the pole and the building.
The height of the pole and the building are 27.1 meters and 97.8 meters respectively.
How to find the height of the pole and the building?The situation forms a right angle triangle. The height of the building can be found using trigonometric ratios,
Therefore,
tan 34 = opposite / adjacent
tan 34 = h / 145
h = 145 tan 34
h = 145 × 0.67450851684
h = 97.8037349422
Therefore,
height of the building = 97.8 meters
tan 26 = x / 145
x = 145 tan 26
x = 70.721225342 meters
Therefore,
height of the flagpole = 97.8 - 70.7 = 27.1 meters
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Need help thank you
Using the table below, what is the probability of selecting a girl or someone who likes Michigan?
Ohio State
Michigan
NC State
Total
Boys
56
14
20
90
Girls
50
22
38
110
Total
106
36
58
200
Using the table of values, the probability of selecting a girl that likes Michigan is 0.11
How to determine the probability?The table is given as:
Ohio State Michigan NC State Total
Boys 56 14 20 90
Girls 50 22 38 110
Total 106 36 58 200
In the above table, 22 girls out of the total sample size of 200 like Michigan.
This means that the required probability is:
P = 22/200
Evaluate the quotient
P = 0.11
Hence, the probability of selecting a girl that likes Michigan is 0.11
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What is the equation of the line?
Answer:
y=1/2x+2
Step-by-step explanation:
I found this out just by looking at the line
Is the triangle proved similar?
10.4 sides polygon with 2 sides of parallel sides. What type of polygon is it?
Answer:
Here is the answer:
Step-by-step explanation:
An isosceles trapezoid is a trapezoid whose non-parallel sides are congruent. A kite is a quadrilateral with exactly two pairs of adjacent congruent sides.
what is the different between replacing the first card and not replacing the first card
Replacing the first card illustrates an independent event, while not replacing the card illustrates a dependent event
How to determine the difference?In probability, when a selected card or item is replaced before another item is selected, then the event is an independent event.
This is so because, the selected card do not have effect on the probability of selecting the next card
However, if the card is not replaced, then the event is dependent
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Students in a school were asked to collect old bottles as part of a recycling drive. Some of the data recorded at the drive is shown in the histogram below:
A histogram is shown with title Recycle Drive Collection. On the horizontal axis the title is Number of bottles. The title on the vertical axis is Students. The range on the horizontal axis is 0 to 3, 4 to 7, and 8 to 11. The values on the vertical axis are from 0 to 10 at intervals of 1. The bar for the first range is till 3, the bar for the second range is till 6, the bar for the third range is till 1.
Which information is not provided in the histogram?
The total number of students who collected bottles
The number of students who collected exactly 9 bottles
The number of students who collected 3 or fewer bottles
The total number of students who collected 7 or fewer bottles
*will Mark Brainliest*
Answer:
I'm very sure it is B. The number of students who collected exactly 9 bottles.
Step-by-step explanation:
A is wrong because it does show the total amount of students.
C is wrong because it does show the amount of students that collected 3 or fewer bottles.
D is wrong because it does show the total number of students who collected 7 or fewer bottles.
So, B would be the only correct answers. Hope I helped!! Pls mark brainliest if I did help.
Answer:
The answer your looking for would be B. "The number of students who collected exactly 9 bottles"
Step-by-step explanation:
I took the FLVS test.
NEED HELP PLEASE!!!!!!
Answer:
i wish i knew im in the same situwantion
Step-by-step explanation:
Assume the random variable X has a binomial distribution with the given probability of obtaining a success. Find the following probability, given the number of trials and the probability of obtaining a success. Round your answer to four decimal places.
P(X=3), n=8, p=0.2
Answer:
P(X = 3) = 0.14680064
Step-by-step explanation:
Formula=============================
[tex]p\left( X=k\right) =C^{k}_{n}p^{k}(1-p)^{n-k}\ \ ;\ k\in \left\{ 0,\ldots ,n\right\}[/tex]
……………………………………………………………………..
Given :
n = 8
p = 0.2
1 - p = 1 - 0.2 = 0.8
k = 3
Then
[tex]p\left( X=3\right) =C^{3}_{8}(0.2)^{3}(0.8)^{5}[/tex]
[tex]=0.14680064[/tex]
Translate the problem into a mathematical sentence, using c as your variable
name. Do not use spaces in your answer.
Tom bought 13 CDs in December. Of those, 5 were jazz, the rest were
classical music. How many classical music discs did he buy?
Answer here
SUBMIT
c=8
Step-by-step explanation:
13-5=c, c=8
You spin the spinner once.
4
1
3
2
What is P (odd)?
Write your answer as a percentage.
4 total numbers, 2 are odd
probability of getting odd = 2/4 = 0.50 =50%
Answer: 50%
round 18.159 to the nearest tenth
Answer:
18.2
Step-by-step explanation:
A tenth is the first decimal, on the right of your unit. 5 to the sky (round up) 4 to the floor (round down)
18.159
To find:The nearest tenth of 18.159
Solution:First value right to the decimal place is tenths place. If the value given in hundredths place is 5 or more round up, if not keep it as it is.
So here the value in hundredths place is 5, so we'll have to add 1 to the tenths place.
18.159
= 18.2 ( nearest tenth )
Find the slope.
y= X/3 + 4
M= ?/?
Answer:
m=1/7
Step-by-step explanation:
The slope of y=x/3 + 4 is 1/7.
x/3+4 = x/7 so m = 1/7.
Answer:
m = 1/3
Step-by-step explanation:
The equation given is in slope-intercept form, which has the basic structure:
y = mx + b
In this equation, "m" is the slope and "b" is the y-intercept.
The value of "b" is 4.
The value of "m" is 1/3. This is because (x/3) is the same as (1/3 times x).
please answer this question
[tex] \bold{\underline{\underline{\underbrace{Answer}}}} [/tex]
x = p and y = -q
Step-by-step explanation:
To findThe value of x and y
Givenpx + qy = p² - q²(equation 1)
qx - py = 2py
Solution{Taking equation 2}
[tex] \sf qx - py = 2py[/tex]
{Taking py on RHS}
[tex] \sf qx = 2py \ + py [/tex]
{Dividing both sides by q
[tex] \sf x = \frac{2pq}{q} + \frac{py}{q} \\ \\ \sf x = 2p + \frac{py}{q} (equation \: 3)[/tex]
{Now substituting the value of equation 3 in equation 1}
[tex] \sf p(2p + \frac{py}{q} ) + qy = {p}^{2} - {q}^{2} \\ \\ \sf 2 {p}^{2} + \frac{ {p}^{2}y }{q} + qy = {p}^{2} - {q}^{2} [/tex]
{Taking 2p² on RHS and taking LCM on LHS}
[tex] \sf \frac{ {p}^{2}y + {q}^{2} y }{q} = {p}^{2} - {q}^{2} - 2 {p}^{2} \\ \\ \sf \frac{y( {p}^{2} + {q}^{2} ) }{q} = - ( {p}^{2} + {q}^{2} )[/tex]
{Dividing (p² + q²) both sides}
[tex] \sf \frac{y}{q} = - 1 \\ \\ \red{ \boxed {\bold{y = - q}} }[/tex]
{Now using value of y in equation 3}
[tex] \sf x = 2p - \frac{pq}{q} \\ \\ \sf x = 2p - p \\ \\ \red{ \boxed{ \bold{ x = p}}}[/tex]
Help me solve this question
-2 1/3 - ( - 5) = ?
Answer:
2 2/3
Step-by-step explanation:
-2 1/3 - ( - 5)
We are subtracting a negative which is like adding
-2 1/3 + ( 5)
The signs are different so we subtract and take the sign of the larger
5 - 2 1/3
Borr from the 5
4 3/3 - 2 1/3
2 2/3
The sign of the larger was positive so the answer is positive
2 2/3
I need to solve for X
Check the picture below.
verify the identity algebraically. Start on one side of the equation and manipulate using techniques to arrive at the other side
sin^2 − sin^4 = cos^2 − cos^4
Answer:
Step-by-step explanation:
sin^2 − sin^4 = cos^2 − cos^4
sin^2 (1-sin^2) = cos^2 − cos^4
sin^2 (cos^2) = cos^2 − cos^4
(1-cos^2) (cos^2) = cos^2 − cos^4
cos^2 − cos^4 = cos^2 − cos^4
Which is True :33 Send love
Match the numbers with the correct label.
Answer:
a = 1/7b = 0.2c = 3/9Step-by-step explanation:
Converting all fractions to decimal (for easier comparison) :
0.21/7 = 0.143/9 = 0.33Hence,
First point (a) = 1/7Second point (b) = 0.2Third point (c) = 3/9find the value of x. cos(67°) = 1/x
[tex]~~~~~\cos 67^{\circ} = \dfrac 1x\\\\\\\implies x = \dfrac 1{\cos 67^{\circ}}\\\\\\\implies x = 2.55[/tex]
Please help, thank you! Image below
Answer:
The diameter divides a circle into fourths. (False)
The diameter is twice the length of the radius. (True)
The diameter is the distance around the circle. (True)
The diameter is a chord. (True)
The diameter passes through the center of a circle. (True)
The diameter is about three times larger that the circumference. (I don't really know this from the top of my head. Sorry!
Step-by-step explanation:
Hope this helps!
From your neighborhood softie. :)
Lillian and Mackenzie clean rooms at a hotel. Today, they cleaned the same number of rooms, but Mackenzie worked fewer hours. Tomorrow, their shifts are the same length. Who will likely clean more rooms?
Answer:Mackenzie
Step-by-step explanation:
Answer:
Step-by-step explanation:
Mackenzie
A borrower has been approved for a loan of $5,000 at 8% interest. The loan will be repaid in nine months. What amount will be repaid at that time?
Answer:
Just multiply 5000 * 0.08, which equals 400.
400 + 5000 = 5400
The borrower will repay $5400 at the end of nine months.
Step-by-step explanation:
Workers Inc. just bought 15 boxes of pens to put in their storage room for employees to use as needed. Each box contains 40 pens. If each of the 26 employees working for Workers Inc. takes 4 pens when they are first brought into the office, how many pens
will be left in the storage room?
A. 230
B. 596
C. 574
D. 496
Answer:
D. 496
Step-by-step explanation:
Start by finding original number of pens:
15 boxes x 40 pens per box = 600 pens in all
find number of pens taken:
26 workers x 4 pens each = 104 pens taken
Find number of pens left:
600 original - 104 taken = 496 left
Answer: D. 496
Answer:
D
Step-by-step explanation:
15x40=600
26x4=104
600-104=496
