Answer:
75.36cm
Step-by-step explanation:
We use the pithagorean theorem: height^2 = 152^2 - 132^2 = 5680;
height = [tex]\sqrt{5680} = 75..36 cm[/tex]
What is the value of y in the solutions of the system of equations: 3x + 4y = 3 and 2x – 4y = 12?
Answer:
y = -3
Step-by-step explanation:
3x + 4y = 3
2x - 4y = 12
5x = 15 Add the two equation together because the y terms are
opposite each other and goes out when you add the equations
x = 5
Substitute into the first equation and solve for y when x = 5
3x + 4y = 3
3(5) + 4y = 3
15 + 4y = 3
4y = 3 - 15
4y = -12
y = -3
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Answer:
1000 = 450 + 50w
Step-by-step explanation:
She starts with $450 so that is why you add it. The amount she started with will not change.
She earns $50 per week so you add 50 multiplied by the number of weeks she works.
You do this until it equals 1000
Point P(5,0) is on the terminal arm of an angle k in standard position.
Determine the value of cosk.
The value of the cosine of angle [tex]k[/tex] is 1.
Given a point [tex](x,y)[/tex] that is a terminal arm of an angle [tex]k[/tex] in standard position, by trigonometric relations we have the following expression for the cosine:
[tex]\cos k = \frac{x}{\sqrt{x^{2}+y^{2}}}[/tex] (1)
Where:
[tex]k[/tex] - Angle measure, in sexagesimal degrees.[tex]x[/tex] - Horizontal position of the point of the terminal arm, no unit.[tex]y[/tex] - Vertical position of the point of the terminal arm, no unit.If we know that [tex]x = 5[/tex] and [tex]y = 0[/tex], then the cosine of the angle [tex]k[/tex] is:
[tex]\cos k = \frac{5}{\sqrt{5^{2}+0^{2}}}[/tex]
[tex]\cos k = 1[/tex]
The value of the cosine of angle [tex]k[/tex] is 1.
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Hey can some help me
Answer:
zero
Step-by-step explanation:
Zero
Positive means that the slope moves upwards from the left to right
Negative means that the slope moves downwards from the left to right
Zero means the slope doesn't increase nor decrease
Undefined is considered the opposite in how the current slope is
Please help!
Describe a trend line in a scatterplot and how it should look in comparison to the data points.
Answer:
A trend line is a straight line that best represents the points on a scatterplot. The trend line may go through some points but need not go through them all. The trend line is used to show the pattern of the data. This trend line may show a positive trend or a negative trend.
Step-by-step explanation:
answer above
Sample Answer: A trend line describes the relationship between the two variables in a scatterplot. A trend line is sloped according to the general direction of the cluster of data points. It is drawn through the center of the cluster so the distance from the line to the points is minimized.
this is the correct answer on edge!!
You are on level ground in the late afternoon. The Sun is at angle of elevation of 17 degrees. A tree casts a 206-foot long shadow feet. What is the height of the tree in the nearest foot
[tex]\\ \sf\longmapsto tanC=\dfrac{AB}{BC}[/tex]
[tex]\\ \sf\longmapsto tan17=\dfrac{AB}{206}[/tex]
[tex]\\ \sf\longmapsto AB=0.3(206)[/tex]
[tex]\\ \sf\longmapsto AB=61.8ft[/tex]
round 3,817,453 to the nearest 100
Answer:
The nearest hundredth would be 3,817,500
Step-by-step explanation:
The hundreds place is the four and the five behind it rounds the number to a up to a 5
Plz help me NOW I will mark you brainliest
Answer:
[tex] \frac{mn}{p} [/tex]
Hope you could get an idea from here.
Doubt clarification - use comment section.
Graph the equation of the line parallel to 2x−y=6 and passing
through (-3, 1). Show work.
Answer:
It's a graph, see the image.
Step-by-step explanation:
Use the equation to find the slope. Use the slope and the point to graph the line.
Can someone please help me
Answer: B
Step-by-step explanation: I beilieve it's B but, don't take my word.
What is the smallest number that is a multiple of both 4 and 6
Answer:
2
Step-by-step explanation:
4 2x2 is 4
2x3 is 6
sorry for the long type it says 20 character above
-4x +8 = 24
What is the value of x in the equation?
8
4
-4
-8
Answer:
-4x+8=24
24-8
16/-4x
x= -4
Step-by-step explanation:
Answer:
-4
Step-by-step explanation:
-4x + 8 = 24
Subtract 8 from both sides to isolate the x.
-4x + 8 = 24
-8 -8
-4x = 16
Divide -4 from both sides to solve for x.
-4x = 16
/-4 /-4
x = -4
3] What is - 2y + 10 + 2y - 8 simplified?
a) – 4y + 18
C) 18
b) 4y + 2
d) 2
Expressions
Answer:
d. 2
Step-by-step explanation:
-2y +10+2y-8
10-8. ( -2y+2y = 0)
2
Answer:
d) 2
Step-by-step explanation:
We can first combine like terms
-2y + 2y = 0
Now, our expression is simply 10 - 8, which is 2
So, the answer is
d) 2
Harold bought 3 points of red apples and 4.2 pounds of green apples from a grocery store, where both kinds of apple are 1.75 a pound. How much did Harold spend on apples?
Answer:
12.6
Step-by-step explanation:
total weight of apples = 3+ 4.2
= 7.2 pounds
total money spent on apples = 1.75 × 7.2
= $12.6
Answer:
12.6
Step-by-step explanation:
he had 3 points of red apples and 4.2 pounds of green apple and 1.75 pounds so he spend 12.6
What is 20% of 130.8?
Answer:
26.16
Step-by-step explanation:
Answer:
26.16
Step-by-step explanation:
20 percent of 130.8
= (20/100)*130.8
= (20*130.8)/100
= 2616/100 = 26.16
What is meant by a circle's diameter?
Answer:
The diameter is the length of the line through the center that touches two points on the edge of the circle.
Step-by-step explanation:
please mark my answer in brainlist
Answer:
Step-by-step explanation
F u
Help please: A bus and a train leave a station at the same time, t = 0. The graph shows the bus's distance to the next station over time. The train moves more quickly than the bus. Write an equation of a function that could represent the train's distance to the next station.
Answer:
y = (5/2)x + 20
Step-by-step explanation:
Since the bus and train are both at the station at time 0, the y-intercept for the new equation is 20. That is one point on the new graph: (0,20) The question said that the train travels faster, that means it spends less time getting to the next station. The existing graph shows the bus got to the next station in 10 minutes, so maybe the train got there in 8 minutes. So another point on the graph is (8,0) We can use a slope formula to calculate the slope of a new line. Or just count squares on the graph (se image) to find the slope. Slope tells how steep a line is, whether the line is going up or down, but also the slope is like directions how to get from one point to another point on the line.
All you need to write an equation is the slope, m and the y-intercept, b and fill those two numbers into the formula y=mx+b Here slope is 5/2 and y-intercept is 20. So you get
y=(5/2)x +20
80 is the product of Diego's height and 5.
Use the variable d to represent Diego's height.
Answer: The expression is 5d = 80. 80 ÷ 5 = 16. Therefore, the variable D is 16.
Approximately what portion of the box is shaded blue?
A.3/5
B.2/3
C.9/10
Answer:
I think the answer is C.....
How many solutions does this system have?
y = 2/3x + 3
2x - 3y = -9
A. one solution
B. two solutions
C. no solutions
D. infinitely many solutions
Answer:
the answer is A .
Step-by-step explanation:
-2x+y=3 ----> 2x - y = -3
6x=9-3y
6x + 3y = 9
divide by 3 ,
2x + y = 3
Since the slopes are different, they will intersect.
So ONE solution.
Solve the equation :
In(5-x) = In5 - Inx,
giving your answers correct to 3 significant figures.
[tex]\ln(5-x) = \ln 5 - \ln x\\\\\implies \ln(5-x) + \ln x = \ln 5\\\\\implies \ln[(5-x)x] =\ln 5\\\\\implies \ln(5x -x^2) = \ln 5\\\\\implies 5x -x^2 = 5\\\\\implies x^2 -5x +5 =0\\\\\implies x = \dfrac{-(-5) \pm \sqrt{(-5)^2 - 4 \cdot 1 \cdot 5}}{2(1)}\\\\\implies x = \dfrac{5 \pm \sqrt{5}}{2}\\\\\text{Hence} ~x = \dfrac 12\left(5 + \sqrt 5\right)=3.62~~ \text{and}~~ x =\dfrac 12 \left(5-\sqrt 5\right) =1.38[/tex]
Answer:
x1 = 3.618, x2 = 1.382
Step-by-step explanation:
ln(5-x) = ln5 - lnx
ln(5-x) + ln(x) = ln5
ln(5x-x^2) = ln5
5x-x^2=5
0=x^2-5x+5
x = -(-5)±√((-5)²-4(1)(5)) / 2(1)
x = 5±√(25-20) / 2
x = 5±√5 / 2
x1 = 3.618, x2 = 1.382
If we identify the points as follows, what are
the inputs to the slope formula?
(-1, -2) and (3, 0)
Answer:
B
Step-by-step explanation:
Answer:
it is -2
Step-by-step explanation:
i got it right
Select the equation that has a = 112 as its solution.
a−114=35
a+358=434
416+a=523
a×38=214
Answer:
none
Step-by-step explanation:
a-114=35 ⇒ a= 149
a+358=434⇒ a=76
416+a=523⇒ a=107
ax38=214⇒ a=5.63
The equation that has 112 as it's solution is not existing in the options.
What is an Equation?An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.
Given are four linear equations.
Check the solution of each equation.
a - 114 = 35
Adding both sides of the equation with 114,
⇒ a = 35 + 114 = 149
a + 358 = 434
Subtracting both sides of the equation with 358,
⇒ a = 434 - 358 = 76
416 + a = 523
Subtracting both sides of the equation with 416,
a = 523 - 416 = 107
a × 38 = 214
Dividing both sides of the equation with 38,
a = 214/38 = 5.63
Hence none of the equations have 112 as it's solution.
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Determine each measure. M
Check the picture below, tis corrected.
btw the picture is rather long, so the thumbnail here may not show all its size, so you may have to open the image in a new tab or window.
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Describe the x-values for which (a) f is increasing or decreasing, (b) f(x)>0 and (c) f(x) < 0.
a. The function is increasing when _______ and __________ and decreasing when
__ < x < __.
b. The function is greater than zero when _______.
c. The function is less than zero when
___ < x < ____ and _____
A: . The function is increasing when X<-1 and x>1 and decreasing when
-1 < x < 1.
B:The function is greater than zero when x>2
C: The function is less than zero when
-1 < x < 2 and X<-1
The total cost of producing a type of tractor is given by C(x)=11000−20x+0.02x2, where x is the number of tractors produced. How many tractors should be produced to incur minimum cost?
Answer:
Step-by-step explanation:
You need to complete the square.
C(x) = 0.02(x^2 - 1000x ...) + 11000
C(x) = 0.02 (x^2 - 1000x + 500^2) + 11000 - 5000
C(x) = 0.02 (x^2 - 1000x + 500^2) + 6000
C(x) = 0.02(x - 500)^2 + 6000
Now if you look at the answer you will find that the square is completed. That means that number of tractors you could produce is 500 at a cost of 6000
There is a flow to this question that you may have trouble understanding.
First of all the 500^2. That comes from taking 1/2 of 1000 and squaring it. That's what you need to complete the square.
Bur that is not what you have adding into the equation. Remember that there is a 0.02 in front of the brackets.
500^2 = 250000
0.02 * 250000 = 5000
So that number must be subtracted to make the square = 0. When you remove the brackets, you should get 11000 all in all.
So what you have outside the brackets is 11000 - 5000 = 6000
The rest is just standard for completing the square.
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Answer:
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Ignore blue circles pls help guys!!
Answer:
y = 40 , 32 , 56 , -32 , -72
Step-by-step explanation:
Plug your x into your equation for the answer.
Brainliest would be appreciated. :-)
Use slopes and y-intercepts to determine if the lines 5x−5y=5 and 5x−5y=−5 are parallel.
They are parallel because they have the same slopes (5x)
solve the following system of equations
Answer: the answer is D which is (2,1)