Answer:
The ladder reaches [tex]15ft[/tex]
Step-by-step explanation:
In the first case we have
[tex]cos\theta =\frac{12}{15}[/tex]
In second case let the height be [tex]x[/tex]
We have
[tex]sin\theta =\frac{x}{25}[/tex]
We know that
[tex]cos\theta =\frac{12}{15}\\\\sin\theta =\sqrt{1-\frac{12^{2}}{15^{2}} } \\\\sin\theta =\sqrt{\frac{81}{225} } \\\\sin\theta =\frac{9}{15} }[/tex]
Substituting
[tex]\frac{9}{15} =\frac{x}{25}\\\\x=\frac{25\times9}{15} =15[/tex]
The ladder reaches [tex]15ft[/tex]
is 4y=16x a Direct variation
In the given equation, as the value of y increase, the value of x also
increases.
Yes, 4·y = 16·x is a direct variationReasons:
A direct variation is a relationship that exists between two variables. It is
also known as a direct proportion which can be expressed as; y = k·x
Where k is a number
The given equation is 4·y = 16·x
Dividing both sides by 4 gives;
[tex]\displaystyle \frac{4 \cdot y}{4} = \frac{16 \cdot x}{4} = \frac{4 \times 4 \cdot x}{4}[/tex]
Which gives;
y = 4·x
Comparing the above equation with the equation for a direct variation gives;
y = 4·x
y = k·x
Therefore;
k = 4
The equation, y = 4·x, and therefore, the equation from which it is derived, 4·y = 16·x, is a direct variation.
Learn more about direct variation here:
https://brainly.com/question/6499629
it takes 5 days to repair 1250 meters of road.
At this rate, how many days will it take to repair 8 kilometers of road?
Answer:
2000 Meters
Step-by-step explanation:
First, DIvide 1250 by 5 and you get 250. Multiply by 8 and you get 2000.
Ricardo changed $600 into pounds when the exchange rate was $1 = 0.60 pounds
He later changed all the pounds back into dollars when the exchange rate was $1 = 0.72 pounds
How many dollars did he receive ??
600 x 0.60 = 360 pounds
360 /0.72 = 500
He got $500
PLS HELP ASAP ILL GIVE BRAINLKEST PLS THANKS
Can someone plz help Me?
Answer:
It’s A :D
Step-by-step explanation:
3 goes into 12 4 times
4 times 4 equals 16
so 16 can of soup
and then! 4 goes into 36 9 times
Click the picture to see inside! :3
Hope this helps :DDD
Michael is packing books into boxes. Each box can hold either 15 small books or
8 large books. He needs to pack at least 35 boxes and at least 350 books. Write
and graph a system of linear inequalities to represent the situation
Let x equal the number of tiny book boxes and y equal the number of large book boxes.
Because John must pack at least 35 boxes:
(number of tiny book boxes) + (number of large book boxes) = (at least) 35
x + y ≥ 35
Since John needs to pack at least 350 books:
(number of small books packed) + (number of large books packed) (is at least) 350
(number of small books per box)(number of boxes of small books) + (number of large books per box)(number of boxes of small books) ≥ 350
15x + 8y ≥ 350
Your system of inequalities is:
x + y ≥ 35
15x + 8y ≥ 350
GO INTO DESMOS TO GRAPH
find the ratio of : 800 ml to 4.8 litres
Answer:
The ratio is [tex]\frac{1}{6}[/tex]
Step-by-step explanation:
We have
[tex]\frac{800mL}{4.8L} \\\\\frac{0.8L}{4.8L}\\\\\frac{1}{6}[/tex]
Help plsss I REALLY need help!
Answer:
6x^2√x
Step-by-step explanation:
6 times 6 is 36
So you can take 6 out and leave x^5
However x^5 also have a power to square by:
x^4 which can turn into x^2
So we can take x^2 out
So the answer is 6x^2√x
Hope this helps!
I think its
the bottom left i might be wrong
how to do theoretical probability on calculator
Answer:
below!
Step-by-step explanation:
Theoretical probability is used in mathematics to express the likelihood that a specific phenomenon will occur. Learn about the definition, formula, and real-world examples of theoretical probability like which flavor gumball a machine is most likely to dispense
Evaluate the function.
f(x)=-3x^2-20
Find f(−7)
Answer:
Answer: f(-7) = -167
Step-by-step explanation:
[tex]{ \tt{f(x) = - {3x}^{2} - 20}}[/tex]
• When x is -7, f(x) is f(-7):
[tex]{ \tt{f( {}^{ - }7) = {}^{ - } 3( { {}^{ - }7) }^{2} - 20 }} \\ \\ { \tt{f( {}^{ - } 7) = ( {}^{ - } 3 \times 49) - 20}} \\ \\{ \tt{ f( {}^{ - }7) = {}^{ - } 147 - 20 }} \\ \\ { \boxed{ \tt{f( {}^{ - }7) = {}^{ - } 167 }}}[/tex]
Based on the calculations, the evaluation of this function is equal to -167.
Given the following data:
[tex]f(x)=-3x^2-20[/tex]How to evaluate a function.In this exercise, you're required to evaluate the given function. This ultimately implies that, we would substitute the vale of x into the function as follows.
Note: The value of x is equal to -7.
Substituting the given parameter into the function, we have;
[tex]f(-7)=-3(-7)^2-20\\\\f(-7)=-3(49)-20\\\\f(-7)=-147-20[/tex]
f(-7) = -167.
Read more on function here: https://brainly.com/question/10439235
ok sooo um another post again hahahaha
but anyways, to the question.
Explain the meaning of the inequality statement in terms of distance from a starting point in a real world setting.
20.2 miles > 17.6 miles
Answer:
Enter a value for a so that the system of equations shown has infinitely many solutions.
y = −5x + 9y = ax + 9
Step-by-step explanation:
I need help ASAP …………….
Answer:
for me the answer is y=0.17x+2
not sure
correct me if im wrong
love ya
Step-by-step explanation:
#brainly
Four times a number, minus 9, is equal to three times the number, plus 2.
If 4/3 liters of water are enough to water 2/5 of the plants in the house, how som:
much water is necessary to water all the plants in the house? *
Answer:Group of answer choices 2/5 x ? = 4/3 ? X 2/5 = 4/3 4/3 x ? = 2/5 ? ÷ 5/2 = 3/4 4/3 ÷ 2/3 = ?
Step-by-step explanation:If 4/3 liters of water is enough to water 2/5 of the plants in the house, how much water is necessary to water all the plants in the house? Select all of the multiplication and division equations that represent this situation.
Answer:
3 1/3 liters of water
Step-by-step explanation:
4/3 is to 2/5
What 1 is to x
(4/3) / (2/5) = 10/3 = 3 1/3
Jameson Middle School gives bottles of water to teachers and students who are going on a field trip. The school orders 500 bottles of water. They plan to give 35 bottles of water to teachers. They ordered at least 2 bottles of water for each student. How many students could be going on the field trip? Show your work.
Answer:
up to 232
Step-by-step explanation:
Let x = number of students
The number of bottles for the students is 2x since they give 2 bottles per student.
2x + 35 = 500
2x = 465
x = 232.5
Answer: 232
A. (7)
Write an equation of a line that is perpendicular to y = 2/3 X + 8 and has a y-intercept of
2.
Answer in slope-intercept form
B. and write the following equation in slope intercept form y + 21 = x - 15
if the two coffee shops combine their supplies, how many stirrers will they have for tousday?
Answer:
50?
Step-by-step explanation:
it's 50 20+25i don't even know if this is the correct answee
Pls help pls help it’s my last question
Answer:
5
Step-by-step explanation:
Answer:
3 3/4
Step-by-step explanation:
Which equation has a solution of 34 for y?
Select all the correct answers.
A.8y=9
B.y−1=−14
C.4y=6
D.7−y=614
E.12y=9
F.214+y=4
Answer:
The answer is I don't know
HELP!! Scaler multiplication of vectors in component form
Answers:
<-6,8> <-3,3> <12,12> <21,4> <18,22> <17,30> <-36,-38> <16,20>===========================================================
Work Shown:
Problem 1
u = <-3,4>
2u = 2*<-3,4>
2u = <2(-3), 2(4)>
2u = <-6,8>
Effectively, we multiplied each coordinate by 2.
-----------------
Problem 2
g = <-1,1>
3g = 3*<-1,1>
3g = <3(-1),3(1)>
3g = <-3,3>
Same idea as problem 1, but we tripled each coordinate.
-----------------
Problem 3
z = <-3,-3>
-4z = -4*<-3,-3>
-4z = <-4(-3),-4(-3)>
-4z = <12,12>
-----------------
Problem 4
v = <6,8>
2v = <12,16> .... double both coordinates
u = <-3,4>
3u = <-9,12> .... triple both coordinates
2v-3u = <12,16>-<-9,12>
2v-3u = <12-(-9),16-12>
2v-3u = <12+9,16-12>
2v-3u = <21,4>
I subtracted the corresponding coordinates.
The general rule is <a,b>-<c,d> = <a-c,b-d>
-----------------
Problem 5
y = <1,1>
6y = <6,6> .... multiply each coordinate by 6
v = <6,8>
2v = <12,16>
6y+2v = <6,6>+<12,16> = <6+12,6+16> = <18,22>
This time we add the corresponding coordinates after scaling up the given vectors.
The general rule is <a,b>+<c,d> = <a+c,b+d>
-----------------
Problem 6
u = <-3,4>
v = <6,8>
3v = <18,24>
y = <1,1>
2y = <2,2>
u+3v+2y = <-3,4>+<18,24>+<2,2>
u+3v+2y = <-3+18+2,4+24+2>
u+3v+2y = <17,30>
-----------------
Problem 7
g = <-1,1>
4g = <-4,4>
y = <1,1>
A = 4g+y = <-4,4>+<1,1> = <-4+1,4+1> = <-3,5>
z = <-3,-3>
v = <6,8>
5v = <30,40>
B = z-5v = <-3,-3> - <30,40> = <-3-30,-3-40> = <-33,-43>
A+B = <-3,5>+<-33,-43> = <-36,-38>
-----------------
Problem 8
u = <-3,4>
v = <6,8>
2v = <12,16>
A = u+2v = <-3,4>+<12,16> = <-3+12,4+16> = <9,20>
w = <8,-1>
g = <-1,1>
B = w+g = <8,-1>+<-1,1> = <8+(-1),-1+1> = <7,0>
A+B = <9,20>+<7,0> = <9+7,20+0> = <16,20>
If the population of Centertown is currently 4,600 and it grows by 200 people each year, when will the population double?
After 23 years
hope this is helpful!
Please help me with this math problem!! I will give brainliest!! NO LINKS PLEASE!! :)
Answer:
(-4, 0)
Step-by-step explanation:
The midpoint M of segment AB is found by averaging the coordinates of the end points:
M = (A +B)/2
Solving this for point B, we find ...
2M = A +B
2M -A = B
Then the other end point is ...
2(2, -4) -(8, -8) = (4 -8, -8 -(-8)) = (-4, 0)
The other end point is (-4, 0).
The quotient of 45% -31. - 15) and a polynomial is (-3). What is the pokyrıcaiak
A
Ox5% -6% -30% * 944 45
0-5
O % 45
O % * 5% 46% - 30% * 944 45
Answer:
A
Step-by-step explanation:
Which of these is a correct statement?
in a class of 55 21 study physics 24 study geography and 23 study economics and physics. if x students study all three subjects and 2x study non of the subjects find
1 the value of x
2 the number of students that study only physics
3 number of students that study only 2 subjects
solve usind venn diagram
The total number of students who studied only two subjects is 13.
The given parameters:
Total number of students, n = 55 Number of physics students = 21Number of geography students = 24Number of economics students = 23Number of students for the 3 subjects, = xNumber of students who studied non = 2xThe number of students who studied only two subjects can be determined by applying overlapping three sets formula as shown below;
[tex]Total = n(phy) + n(geo) + n(econ) + n(none)- n(double) - 2(all \ subjects)\\\\55 = 21 + 24 + 23 + 2x-n(double) - 2(x)\\\\55 = 68- n(double)\\\\n(double) = 68-55\\\\n(double) = 13[/tex]
Thus, the total number of students who studied only two subjects is 13.
Learn more about overlapping three sets here: https://brainly.com/question/2041029
Which is a solution to the following system of inequalities?
A. (6,6)
B. (7,8)
C. (8,7)
D. (9,7)
Answer: the answer is D
Step-by-step explanation: - 2 *9 + 3* 7 = 3
-5 *9 + 6 * 7 = - 3
And 3>1
-3<1
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
V = 14130 inches cubed
Step-by-step explanation:
the volume formula for a sphere is [tex]V=\frac{4}{3} \pi r^{3}[/tex]. To solve plug in the values for each part of the equation. Pi will equal 3.14, and r will equal 15.
PLEASE HELP ME (third times the charm)!!!!!!!
Answer:
the first option i think
There is 1 man and 9 women running a race. What is the ratio of the number of female runners to the total number of runners?
Write your answer as a fraction. Use a slash ( / ) to separate the numerator and denominator.
Answer:
9/1
Step-by-step explanation:
For every 9 women, there is 1 man
Please help! If you do tysm!!
Answer:
32 days
Step-by-step explanation:
5 divided by 2 is 2.5, which means 2.5 gallons will leak per day. 80 divided by 2.5 is 32 which means it will take 32 days for the bucket to completely leak out.
hope that's right <3