Answer:
14.0362 degrees (round to 14.0 degrees)
Step-by-step explanation:
1. Assume that the math can be deduced by the sides of a triangle due to the "sightline" nature of the problem. This is a classic trig problem you will see.
2. The base of the triangle would be 12 feet and one of the legs of the triangle will be 3 feet.
3. Arctangent will provide the angle of elevation. The equation can be written as arctan(h/b), in this case h = height and b = base.
4. The calculation will be arctan(3/12) which translates to 14 degrees which is, fortunately, the angle of elevation.
I recommend trying this method out with another example such as the angle of elevation between you and the next plane you see in the sky. For example, the height difference between you and the plane is 7 miles and the plane is x miles away. Again we can create a simple triangle to discover many interesting details.
The number of students taking classes at RSM Branch A is 1 4 more than the number of students taking classes at RSM Branch B. If Branch A has 1,650 students, how many students does Branch B have? Write an equation that shows the relationship between the number of students at the two branches, A and B.
The equation illustrates that the number of students that Branch B have will be 2100.
How to solve the equationFrom the question, the number of students taking classes at RSM Branch A is 1.4 more than the number of students taking classes at RSM Branch B. If
Since Branch A has 1,650 students, the number of students that Branch B have will be:
= 1500(1.4)
= 2100
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plssss help!!!!!! #1
Step-by-step explanation:
According to the diagram:
The base is 6 unitsThe height is 3 unitsThe area is:
A = bh = 6*3 = 18 units²Sofia is going to drive from her house to City A without stopping. Let DD represent Sofia's distance from City A t hours after leaving her house. The table below has select values showing the linear relationship between t and D. Determine how long Sofia has been driving the moment she was 157.5 miles away from City A.
Answer:
3.5 Hours
Step-by-step explanation:
I do not know what measurement or timelapse you're looking for. But this should be the answer to it, no I don't have an explanation though.
The distance between the city and the house is 260 miles.
What is an equation?A mathematical statement that has a "equal to" symbol between two expressions with equal values is called an equation. as in 3x + 5 = 15, for instance. There are different types of equations like linear, quadratic, cubic, etc.
t d
1 195
2 130
2.5 97.5
The distance will be calculated by the equation of the line,
y = mx + c
m = ( 130 - 195 ) / ( 2 - 1 )
m = -65
y = -65x + c
195 = -65 + c
c = 260miles
Hence, the distance will be 260 miles.
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Are the expressions 4a+(5a+3c) and (4a+5a)+3c equivalent? If so, determine what property can be applied to determine that they are equivalent.
Answer:
Yes, they are equivalent expressions, by the Associative Property
Step-by-step explanation:
Both of these expressions are equal to:
4a + 5a + 3c
(and then, 9a + 3c)
This is all adding so you can add them all up without any of the parentheses. In the question at first the parentheses are grouping together the 5a and 3c, but in the second expression they are wrapped around the 4a and 5a. But in both expressions the order of the three terms does not change. Only the grouping changes. The terms are grouped differently, but the order DOES NOT change. This is Associative property. If the order changes it is Commutative property.
of the three pools described , model ______ needs the largest amunt of water to be completely filled
Answer:
this pool has a length 18 feet and a width of [tex]9\frac{3}{4}[/tex] feet. The maximum depth of water is [tex]4\frac{1}{2}[/tex] feet .
Consider the equation y = 3x - 1
Identify the slope and y-intercept and
sketch the graph.
Given :-
A equation y = 3x -1 .To Do :-
To identify slope and y intercept and then sketch it's graph .Solution :-
Given equation to us is ,
→ y = 3x -1
As we know that , the slope intercept form of the line is ,
→ y = mx + c
where m is the slope and c is the y intercept .On comparing both , we have ,
slope = 3 y intercept = -1 .So the graph will cut the y axis at (0,-1) . And will have a slope of 3 .
When y coordinate is 0 ,
say the point is (x,0) .So that ,
→ x - 0 / 0 -(-1) = 3
→ x/0+1 = 3
→ x/1 = 3
→ x = 3
Hence one other point is (3,0 ).
Now we may plot the graph using these two points (3,0) and (0,-1) .
For graph see attachment .
I hope this helps .
HELP QUICK!!!
complete the equation represents the relationship between C and A.
Answer:
a = 11c - 4
Step-by-step explanation:
7,18,29,40
constant difference = 11
now,
an = a+(n-1)d
or, an = 7+(n-1)11
or, an = 7 + 11n - 11
or, an = 11n - 4
Solve, solve , solve
Answer:
1.) 5 1/4
2.)1 1/2
Step-by-step explanation:
umm.....
Answer:
1) 5 2/8
2) 1 2/6
Step-by-step explanation:
1) 2 7/8 + 2 3/8
Write these fractions as improper fractions.
23/8 + 19/8
Add the fractions
42/8
Write the answer as a mixed number.
5 2/8
2) 3 1/4 -1 3/4
Write these fractions as improper fractions.
13/4 - 7/4
Subtract the fractions
6/4
Write these fractions as improper fractions.
1 2/6
A television is on sale for $75 off,
The price of the television with the sale is $300,
If you use the equation n - 75 = 300 to solve this problem, what does n represent?
The term n is the initial amount that the television is to be sold.
What is the meaning of n?We are told that the television in this case is to be sold at a discount piece. The implication of this is that there is something that has to be removed from the price of the television as it is sold.
We are told that what they are to remove from the price of the television is about $75 and that when this is done, the price of the television would be about $300. Thus n is the original price of the television.
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The variable n represents the initial value of the television
How to interpret the variable nFrom the question, we have the following parameters that can be used in our computation:
Amount off = $75
New price = $300
When represented as the equation, we have
n - 75 = 300
Add 75 to both sides of the equation
So, we have the following representation
n = 375
This means that the initial price of the television is $375
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6) Write the equation, g(x), that is 9 units below f(x) = 3^X+ 2.
Answer:
g(x) = 3^x -7
Step-by-step explanation:
In an exponential function like this, the constant at the end of the function represents the vertical shift. This means that the original function is shifted 2 units up. So, 9 units lower than +2 is -7. Thus, the new function, g(x), is g(x)=3^x - 7.
We can prove that g(x) is 9 units lower through y-intercepts. The function f(x) has a y-intercept of 3 and g(x) is -6. Since -6 is 9 lower than 3, we know that there is a 9 unit difference between the functions.
Use the diagram of parallelogram ABCD to find the length of each side.
Answer:
Side BC and AD are the same lengths so a=21
Side BC = 14
Side AB = 37
Side CD = 37
Step-by-step explanation:
Hope this helps!
please mark as brainliest =D
There are about 208,000,000,000 different 8-letter passwords that can be formed using a 26-letter alphabet.
Express this number using scientific notation.
Answer:
2.08 × 10^11
Step-by-step explanation:
George decided to accept a 20% drop in his salary during 2020.By what percentage must George's salary increase to get back to where it was before the salary drop during 2020
Answer:
25%
Step-by-step explanation:
Let George's salary = $50,000 per year
If his salary dropped by 20%, then his salary would be 80% of his previous salary (as 100% - 20% = 80%).
Convert 80% to a decimal: 80% = 80/100 = 0.8
Therefore, 80% of 50000 = 0.8 x 50000 = $40,000
We wish to increase his salary back to the original amount of $50,000.
The difference between the two salaries is : 50000 - 40000 = 10000
Therefore, we need to calculate the percentage that $10,000 is of $40,000.
⇒ (10000 / 40000) x 100 = 25%
So George's salary needs to increase by 25% to get back to where it was before the salary drop.
Olde wine corporation has 250000 shares of $40 par common stock outstanding. On February 15, olde wine corporation declared a 2% stock dividend to be issued may 2 to stockholders of record
See screenshot below! :^)
Hope this helps! :^)
add the mixed numbers.
6 2/5 + 7 1/4
Answer:
[tex]\frac{603}{20}[/tex]
Step-by-step explanation:
[tex]\frac{248}{20} +\frac{355}{20} \\\\\frac{248+355}{20} \\\\\frac{603}{20}[/tex]
Consider the equation y = 3x - 1
Identify the slope and y-intercept and
sketch the graph.
Answer:
The slope is 3/1
Y-intercept is at 0,1
Step-by-step explanation:
What does is 9 times 9
Answer:
81
Step-by-step explanation:
What is the probability of hitting the centre if a dart is thrown four times
Answer:
Step-by-step explanation:
If it is on a regular dart board and the dart is thrown four times, the probability of hitting the centre would be slim (obviously) but to be more precise it would be 1/4 - if not none at all.
I know this isn't as specific but I hope it will help :)
One of the angles in an isosceles triangle is 74°.
What could the other two angles be?
PLease hurry! i need it! And the testing thing is happening, so before 6 pm?
[tex]\begin{cases} -x+3y=9\\\\ y=\cfrac{2}{3}x \end{cases} \\\\[-0.35em] ~\dotfill\\\\ -x+3y=9\implies 3y=9+x\implies \underline{3y-9=x} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{substituting ont the 2nd equation}}{y=\cfrac{2}{3}(\underline{3y-9})\implies 3y=2(3y-9)}\implies 3y=6y-18\implies 18+3y=6y \\\\\\ 18=3y\implies \cfrac{18}{3}=y\implies \boxed{6=y}[/tex]
The continental U.S. is about 200 miles wider than Australia.
What number should replace the question mark on the U.S. map?
Answer:
i think it is 300 miles,,,,.......
Identify the sum of the angle measures in a decagon (a 10-sided polygon)
O 1800°
0 1440°
0 1620°
O 1260°
Answer:
1440°
Step-by-step explanation:
(n - 2)180° - (10 - 2)180° = 8(180°) = 1440°
Answer:
1440 degrees
Step-by-step explanation:
formula for calculating sum of angles in a polygon is (n-2) 180 where n is 10 that's 10-2 which is 8 and 8 * 180 which is 1440
A boy band is performing a concert on the 10th of December and the stadium has 5000 square metres of space for the audience. The stadium is split such that 40% of the space is the mosh pit and 60% of the space is seated and each seat is 2 square metres in size. If 80% of the people assigned to a seat stand up during the performance, now many people are sitting down during the performance?
A 4,000
B 1,200
C. 1000
D. 300
E. 600
Answer:
C
Step-by-step explanation:
Because 80% of 5,000=4,000 and if there is 5,000 then what is left?
1,000 because 4,000 to 5,000 is 1 more thousand
Also I need my tickets to the concert!
What are the first five terms of the recursive sequence?
9, 30, 93, 282, 849
====================================================
Explanation:
The first term is 9 because of the notation [tex]a_1 = 9[/tex]
To get the second term, we use the recursive rule given to us which is
[tex]a_n = 3a_{n-1} + 3[/tex]
I recommend using parenthesis to separate things like this
[tex]a_n = 3(a_{n-1}) + 3[/tex]
If n = 2, then,
[tex]a_n = 3(a_{n-1}) + 3\\\\a_2 = 3(a_{2-1}) + 3\\\\a_2 = 3(a_{1}) + 3\\\\a_2 = 3(9) + 3\\\\a_2 = 27 + 3\\\\a_2 = 30[/tex]
The second term is 30.
You can use the same idea as above to find the third term, or you can use this slightly different approach
[tex]\text{third term} = 3*(\text{second term}) + 3\\\\\text{third term} = 3*(30) + 3\\\\\text{third term} = 90 + 3\\\\\text{third term} = 93[/tex]
To generate any new term, we first triple the previous term and then add on 3.
If the value of "y" varies directly with "x"
and y = -8 when x = 4.
Find "y" when x = -4.
Answer:
y=8
Step-by-step explanation:
Hope this helps!!
can someone help me with this
Step-by-step explanation:
1. cd and dg
2. angle 2
3. angle gde
4. angle cdh
5. cde is st line
6.cdf = cdh+hdf = 42+117= 159
7. angle fde = 90-73=17
Write an equation.
A line that has a slope of 4 and goes through the point (3,7).
Answer:
y=4x+c now put (-3,7) into the equation to find the y intercept. 7=4×−3+c. 7=−12+c. c=19.
Step-by-step explanation:
y=mx++c is the general equation with m as the slope.
PLEASE HELP I CANT FIGURE THIS OUT!!!!!
How many 6-digit whole numbers have the digits 2, 0, 2, and 2 as a 4-digit consecutively ordered block with no other digits between them?
There are 1680 digits 2, 0, 2, and 2 as a 4-digit consecutively ordered block with no other digits between them
How to determine the selectionTo determine the number of whole numbers, the following must be true
Case 1: If the sequence starts from the first digit
The first digit can be any of the three 2's (i.e. 3 digits)The second digit can only be 0The third digit can be any of the remaining 2's (i.e. 2 digits)The fourth digit can only be the last 2 (i.e. 1 digit)The fifth digit can be any of 0 - 9 (i.e. 10 digits)The sixth digit can be any of 0 - 9 (i.e. 10 digits)So, we have:
[tex]Case\ 1 = 3 * 1 * 2 * 1 * 10 * 10[/tex]
[tex]Case\ 1 = 600[/tex]
Case 2: If the sequence starts from the second digit
The first digit can be any of 1 - 9 (i.e. 9 digits)The second digit can be any of the three 2's (i.e. 3 digits)The third digit can only be 0The fourth digit can be any of the remaining 2's (i.e. 2 digits)The fifth digit can only be the last 2 (i.e. 1 digit)The last digit can be any of 0 - 9 (i.e. 10 digits)So, we have:
[tex]Case\ 2 = 9 * 3 * 1 * 2 * 1 * 10[/tex]
[tex]Case\ 2 = 540[/tex]
Case 2: If the sequence starts from the third digit
The first digit can be any of 1 - 9 (i.e. 9 digits)The second digit can be any of 0 - 9 (i.e. 10 digits)The third digit can be any of the three 2's (i.e. 3 digits)The fourth digit can only be 0The fifth digit can be any of the remaining 2's (i.e. 2 digits)The last digit can only be the last 2 (i.e. 1 digit)So, we have:
[tex]Case\ 3 = 9 * 10 * 3 * 1 * 2 * 1[/tex]
[tex]Case\ 3 = 540[/tex]
The total number of whole numbers is:
[tex]Total = 600 + 540 + 540[/tex]
[tex]Total = 1680[/tex]
Hence, there are 1680 6-digit whole numbers that the digits
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Marcia bought a 500 g packet of flour. She used some flour to bake a cake, and she used two thirds of the remaining flour to make some scones. She used 60 g more flour for the cake than for the scones. How much flour did Marcia use for the cake?
Answer:
The answer should be 236g.
Step-by-step explanation:
If we take the amount of flour used for the cake as 'x,' the flour used to make the scones would be (500-x)×2/3 as 2/3 of the remaining is used for the scones.
We know that 60g more flour is used for the cake.
So,
x-60=(500-x)×2/3
Cross multiply, and brng the 3 to the other side.
3(x-60)=(500-x)2
3x-180=1000-2x
Bring the x-terms to one side and the numbers to one side.
3x+2x=1000+180
5x=1180
Divide both sides by 5 to find x(the amount of flour used to make the cake)
Therefore,
x=236g