A ladder that is 21 feet long is propped against a building. The bottom of the ladder was placed 4 feet from the base of the building. How high up on the building does the ladder reach? Round the answer to the nearest tenth of a foot.
Step-by-step explanation:
20.6 feet
hope it helps !
Answer:
c
Step-by-step explanation:
Which statement identifies a mistake Anna made if any
Answer:
she didn't make a mistake.Her answer is correct
A gym membership costs $25 per month plus a
membership fee of $50. Which equation represents the
situation?
Answer:
Its B
Step-by-step explanation:
Answer:
y=25x+50
Step-by-step explanation:
She has to pay a fee of 50 and then 25 a month. X represents months since we don't know how many months she plans to have a membership.
TV=3x - 12 and TU=5x-24. What is the value of x?
Answer:
x=6
Step-by-step explanation:
The value of x is 6.
What is angle bisector?"It is the line or line segment that divides the angle into two equal parts."
What is incenter?"The point at which the internal angle bisectors of the triangle intersects."
For given example,
AT and BT are angle bisectors of angles A and B respectively.
And T is the incenter.
⇒ TU = TV
⇒ 5x - 24 = 3x - 12
⇒ 5x - 3x - 24 = 3x - 12 -3x
⇒ 2x - 24 + 24 = - 12 + 24
⇒ 2x = 12
⇒ x = 6
Therefore, the value of x is 6.
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Which of these best represents the rate of change in the volume of the gas sample with respect to the temperature
Answer: 1/12 ml
Step-by-step explanation:
The rate of change is 1/12 ml / °C.
What is Rate of Change?The term "rate of change" (ROC) describes the rate at which something changes over time. Thus, it is not the amount of individual changes themselves but rather the acceleration or deceleration of changes (i.e., the rate). Rate of change is a tool used in finance to comprehend price returns and spot trend momentum.
We have graph which shows change in the volume of the gas sample with respect to the temperature.
So, the rate of change is
= (30- 21.5)/ (100- 0)
= 8.5/100
= 85/1000
≈ 1/12 ml / °C
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pls answer its for a test grade
There are three choices of jelly beans: sour apple, cherry, and blue
raspberry. The probability of getting a cherry is 1/4, blue raspberry is 2/5,
what is the probability of getting sour apple?
Answer:
7/20
Step-by-step explanation:
Total probability=1
Total probability of selecting either cherry or raspberry=¼+²/5=13/20
Probability of getting sour apple=1-13/20=7/20
The cost price of an article is Rs 8888 and its loss is Rs 999. Find the selling price of that
article.
Answer:
Step-by-step explanation:
7889
Answer:
Cost price = Rs. 280
Other expenses = Rs. 20
Total Cost =280+20=300
Selling Price = Rs. 337.50
Profit =337.50−300=37.50
Profit %= 37.5/300*100=12.5%
×100=12.5%
Step-by-step explanation:
Which table represents viable solutions for y = 5x, where x is the number of tickets sold for the school play and y is the amount of money collected for the tickets?
Answer:
Where,
x: he number of tickets sold
y: the amount of money collected for the tickets
The domain of the function must be:
Therefore, we must find a table that complies with this restriction and also have the corresponding values for x and y.
The first table complies with the restriction and has correct values for the variables:
x y
0 0
10 50
51 255
400 2000
The answer is the first table that represents viable solutions for y = 5x.
What is a function?Function is a type of relation, or rule, that maps one input to specific single output.
The given function is y = 5x
Where x is the number of tickets sold for the school play
And y is the amount of money collected for the tickets.
For this case we have the following equation:
The first table complies with the restriction and has correct values for the variables:
x y
0 0
10 50
51 255
400 2000
Let's check all of the tables:
Table 1:
x = 0, y = 0 ⇒ 0 = 5 · 0 ⇒ 0 = 0
x = 10, y = 50 ⇒ 50 = 5 · 10 ⇒ 50 = 50
x = 51, y = 255 ⇒ 255 = 5 · 51 ⇒ 255 = 255
x = 400, y = 2000 ⇒ 2000 = 5 · 400 ⇒ 2000 = 2000
Since all calculations from the first table are correct.
We know that the number of tickets and amount of money collected for the tickets cannot be negative thus, options A and B are incorrect.
Since the ordered pair (65,350) does not satisfy the given equation, therefore the option D is incorrect.
Hence, the correct option is C.
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CAN SOMEONE PLEASE HELP ME COMPLETE THIS TABLE I HAVE BEEN STUCK ON IT
Answer:
the first empty box is: $25
the third epty box is: $75
the forth empty box is: $200
Step-by-step explanation:
0.5 = $25
If DH = (4x + 10) in. and HI = (2x − 4) in., then x =_______ , HI =_______ , and ID = _________
i think the answer will be 6.
Answer:
x = -7
HI = -18
ID = -36
Step-by-step explanation:
I'm guessing that H is the midpoint, so that would mean DH = HI.
So plug in.
4x + 10 = 2x - 4 (subtract 2x on both sides)
2x + 10 = -4 (subtract 10 on both sides)
2x = -14 (divide by 2 on both sides)
x = -7
PLUG IN TO GET ID because DH + HI = ID
4(-7) + 10 + 2(-7) - 4 (simplify)
-28 + 10 -14 - 4 (collect like terms)
-46 + 10 = -36
ID = -36
HI = 2(-7) -4 (simplify)
HI = -14 -4
HI = -18
Hope this helps!!
You can put more than one answer please help me tyyy
Find the length of DF or state what additional information you would need to find it.
Answer:
DF=3.75
Step-by-step explanation:
24/6=15/x
cross multiply to get 24x=90
x=3.75
The length of side DF will be 5 units.No more additional information would need to find, all the information is already given.
What is the congruent triangle?Congruent triangles are those that are exactly the same size and shape. Congruent is represented by the symbol ≅ When the three sides and three angles of one triangle match the dimensions of the three sides and three angles of another triangle, they are said to be congruent.
All the given information is shown in the figure attached.
Since the two triangles are congruent the ratio of their sides is equal,
BC / EF = AC / EF
Suppose the length of side DF is x.
20/DF=24 /6
20/x = 24 / 6
x = 20 / 4
x=5
DF = 5 units
Thus, the length of side DF will be 5 units.No more additional information would need to find, all the information is already given.
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Evaluate 10q + 4p when q =2 and p= 3 hurry please !!!
Answer:
72
Step-by-step explanation:
10 times 2 Plus 4 times 3
Answer:
10q + 4 p
=10(2) + 4(3)
=20 + 12
= 32
i need help please...asap
i only know the sceond on and its 100
Doors for the small cabinets are 19.5 inches long. Doors for the large cabinets are 2.7 times as long as the doors for the small cabinets. How many large doors can be cut from a board that is 10 feet long?
Answer:
2 Large doors
Step-by-step explanation:
Step 1
We convert 10 feet to inches
1 foot = 12 inches
10 feet = x
Cross Multiply
x = 10 × 12 inches
x = 120 inches
Doors for the small cabinets are 19.5 inches long. Doors for the large cabinets are 2.7 times as long as the doors for the small cabinets.
The length of Large doors = 2.7 × 19.5 inches
= 52.65 inches
Hence, the number of large doors can be cut from a board that is 10 feet long(120 inches long) is
= 120 inches/52.65 inches
= 2.2792022792 doors
Approximately = 2.3 doors
However, the number as to be in whole number, hence, only 2 Large doors can be cut from a board that is 10 feet long(120 inches long)
what is 2/5 - 250.00
Answer:
-249.6
Step-by-step explanation:
Convert 2/5 to 0.4. Then subtract 0.4 and 250 to get -249.6
Hope this helped! :)
A mini toy helicopter ascends 50 feet vertically, then flies horizontally 200 feet. Find the angle of elevation to the helicopter now as seen by an observer at the takeoff point.
Answer:
the answer is 250
Step-by-step explanation:
Answer:
10.036
Step-by-step explanation:
Remark
Draw a triangle starting with a vertical line that goes from (0,0) to (0,50).
At the point (0,50) draw a horizontal line to (200,50)
Join the point (200,50) to (0,0)
What you have is an upside down right triangle. At the point (200,50) your job is to find the angle at the vertex point.
That angle is the same as the angle of elevation.
The horizontal line is 200 feet.
The vertical line is 50 feet
Formula
Tan(angle elevation) = o/a = 50/200 = 1/4 = 0.25
Solution
tan-1(0.25) = 14.036
Conclusion
The reason you use the top angle is because you only need to do one calculation. It gives the angle of elevation because the x axis and the 200 feet are parallel. The angles are in a z formation. so the angle you found and the angle of elevation are the 2 angles defined by the z.
U
(3x -9)
30°
240
w
What is the value of x?
1.
21
2.
39
3
45
4
126
Answer:
option 3, 45
Step-by-step explanation:
3x - 9° + 30° + 24° = 180° (angle sum property of a triangle)
3x - 9° + 54° = 180°
3x + 45° = 180°
3x = 180° - 45°
3x = 135°
x = 135/3
x = 45°
therefore, option 3 is the correct option
A company sells two electronics packages. Package A contains 4 printers and 9 computers and costs $10,100 Package B contains 10 printers and 30 computers and costs $36,000
Answer:
y = $1433.33
x = -$700
Step-by-step explanation:
Since we are not asked what to find, we can as well find the price of each package.
Let x be the price of one printer
Let y be the price of one computer.
If Package A contains 4 printers and 9 computers and costs $10,100, this is expressed as;
4x + 9y = 10,100 ..... 1
If Package B contains 10 printers and 30 computers and costs $36,000, this is expressed as;
10x + 30y = 36,000
x + 3y = 3600 ...... 2
Solve equation 1 and 2 simultaneously
From 2; x = 3600 - 3y ..... 3
Substitute 3 into 1;
From 1;
4x + 9y = 10,000
4(3600-3y) + 9y = 10,100
14400 - 12y + 9y = 10100
14400 - 3y = 10100
-3y = 10100 - 14400
-3y = -4300
y = 4300/3
y = $1433.33
Substitute y = 1433.3 into 2;
From 2: x+3y = 3600
x + 3(1433.33) = 3600
x+4300 = 3600
x = 3600 - 4300
x = -$700
please answer correctly i will give u 10 pts and brainleist ! be first
Answer:
m= 15 b=25
Step-by-step explanation:
the slope is 15 because thta is the unit rate and the missing point that isnt shown is (0,25)
HELP PLS IM STUCK TY
Answerit is the 2nd one i think
Step-by-step explanation:
Solve by using elimination. Express your answer as an ordered pair.
Answer:
(-2, 0)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Algebra I
Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
-x - 2y = 2
4x - 2y = -8
Step 2: Rewrite Systems
-x - 2y = 2
Multiply both sides by -1: x + 2y = -2Step 3: Redefine Systems
x + 2y = -2
4x - 2y = -8
Step 4: Solve for x
Elimination
Combine equations: 5x = -10Divide 5 on both sides: x = -2Step 5: Solve for y
Define equation: 4x - 2y = -8Substitute in x: 4(-2) - 2y = -8Multiply: -8 - 2y = -8Isolate y term: -2y = 0Isolate y: y = 0Greetings again.
The answer is (-2,0)
Explanation:
This one is different from other 2 previous questions. The last and previous 2 questions have positive y for another equation and negative y for another equation which makes them 0 (As y - y = 0)
But this one is different. y-terms both are negative for both equations. If we decide to add -2y and -2y then It'd make -4y which doesn't make 0.
And how are we gonna solve by elimination? That's simple. By multiplying one of the equation by -1.
We can do that, to eliminate y-term out. Choose one equation to multiply. I'll be multiplying -1 in the first equation.
[tex]-x-2y=2[/tex]
Multiply -1 in whole equation.
[tex]-x(-1)-2y(-1)=2(-1)\\x+2y=-2[/tex]
Remind that negative multiply/distribute in negative equal positive always.
And x + 2y = -2 is your new equation from the first equation.
[tex]\left \{ {{x+2y=-2} \atop {4x-2y=-8}} \right.[/tex]
This is our new equations. Then we are able to eliminate y-term.
[tex]5x=-10\\x=-2[/tex]
In case if you forget again, we can simply add/subtract vertically.
x+4x = 5x
2y-2y = 0
-2-8 = -10
That's how we get 5x=-10 and thus x = -2.
We already get x-value, and you know that we need to find the y-value too.
Therefore, substitute x = -2 in any given equations. Less coefficient value, the faster and better.
I'll substitute in -x-2y=2
[tex]-x-2y=2[/tex]
Substitute x = -2 in the equation.
[tex]-(-2)-2y=2\\2-2y=2\\-2y=2-2\\-2y=0\\y=\frac{0}{-2}\\y=0[/tex]
Thus, when x = -2, y = 0. Since you want the answer as ordered pair, then the answer is (-2,0)
Yo if you can help me I'll give brainliest.
Answer: x = 5; y = -5
[tex]\left \{ {{-7x-3y=-20} \atop {3x+6y=-15}} \right. \\\\<=>\left \{ {{-7x-3y=-20} \atop {x+2y=-5}} \right. \\\\<=>\left \{ {{-7(-5-2y)-3y=-20} \atop {x=-5-2y}} \right. \\\\<=>\left \{ {{35+14y-3y=-20} \atop {x=-5-2y}} \right. \\\\<=>\left \{ {{11y=-55} \atop {x=-5-2y}} \right. \\\\<=>\left \{ {{y=-5} \atop {x=5}} \right.[/tex]
Step-by-step explanation:
Answer:
x=5
y=-5
Step-by-step explanation:
44.56 divided by 4.46
Answer:
9.99103139013
Step-by-step explanation:
For the rounded version it would be 10.00 rounded to the nearest whole
Does anyone know the answer to this question. I already tried A and C.
I think the answer would have to be D. If the diameter, which is the distance from one point on the circle through the center to another point on the circle, is halved then the amount of concrete that will be needed will be multiplied by 4. I think that's right I am so sorry in advance if that was incorrect. Have a beautiful rest of your day. Stay safe. C O V I D - 1 9 IS REAL THIS COULD MEAN YOUR LIFE!!!
what is 2% = in simplest form
Answer:
1/50
Step-by-step explanation:
Hope this helped have a nice day!
factor 1/6 out of 1/6x+1/6
Answer:
1/6(1x+1)
Step-by-step explanation:
A can of vegetables is 8 in. high and has a radius of 3 in. Find the volume of the can.
Answer:
226.08 in^2
Step-by-step explanation:
The formula for area of a circle is pi*r^2
3^2 = 9
9*3.14 = 28.26
The formula for volume of a cylinder is surface area times height
28.26*8=226.08
Can someone solve what y=?
Answer:
y = 1
Step-by-step explanation:
This is because the line intersects the y-axis at 1.
Answer: y=-2x+1
Step-by-step explanation: The slope is -2 and the y-intercept is 1