Answer:
600
Step-by-step explanation:
anything times 1 is itself
Triangles x and y are right-angled.
A) Show that the two shortest sides in triangle x have the same length as the two shorter sides in triangle y.
B)Explain why the two triangle are congruent.
Answer:
give me sec waitttttttt give me sec
3. Solve for x. Round to the nearest tenth.
14
х
49°
meters
kilometers
1
8,000
20
Answer:
1800.02 kilometers
Step-by-step explanation:
1 kilometer = 1000 meters
1800020 meters = 1800.02 kilometers
The top of a ladder slides down a vertical wall at a rate of 2 feet per second. At the moment when the bottom of the ladder is 4 feet from the wall, it slides away from the wall at a rate of 3 feet per second. How long is the ladder
Answer:
The length of the ladder is 7.21 feet
Step-by-step explanation:
Let
y = Height of the wall
x = Distance between the wall and the ladder (bottom)
L = Length of the ladder
So, the given parameters are:
[tex]\frac{dy}{dt} = -2ft/s[/tex]
When [tex]x = 4; \frac{dx}{dt} = 3ft/s[/tex]
The ladder, the wall and the ground forms a right-angled triangle where the hypotenuse is the length of the ladder; So:
[tex]L^2 = x^2 + y^2[/tex]
Differentiate with respect to time
[tex]2L\frac{dL}{dt} = 2x\frac{dx}{dt} + 2y\frac{dy}{dt}[/tex]
The length of the ladder does not change with time. So:
[tex]2L*0 = 2x\frac{dx}{dt} + 2y\frac{dy}{dt}[/tex]
[tex]0 = 2x\frac{dx}{dt} + 2y\frac{dy}{dt}[/tex]
Rewrite as:
[tex]2x\frac{dx}{dt} =- 2y\frac{dy}{dt}[/tex]
Divide both sides by 2
[tex]x\frac{dx}{dt} =- y\frac{dy}{dt}[/tex]
Recall that:
[tex]\frac{dy}{dt} = -2ft/s[/tex] and [tex]x = 4; \frac{dx}{dt} = 3ft/s[/tex]
So:
[tex]4 * 3 = -y * -2[/tex]
[tex]12 = 2y[/tex]
[tex]6 = y[/tex]
[tex]y = 6[/tex]
Substitute [tex]y = 6[/tex] and [tex]x =4[/tex] in: [tex]L^2 = x^2 + y^2[/tex]
[tex]L^2 =4^2 + 6^2[/tex]
[tex]L^2 =52[/tex]
[tex]L = \sqrt{52[/tex]
[tex]L = 7.21ft[/tex]
Find the value of x.
Solve the inequality:
8+4x≥12
Select one:
x≤1
x≥5
x≥1
x≤5
Answer:
x ≤ 1
Step-by-step explanation:
8 + 4x [tex]\geq[/tex] 12
4x [tex]\geq[/tex] 12 - 8
4x ≥ 4
Dividing both sides by 4 gives;
x ≤ 1
Which of these is the algebraic expression for "5 less than 6 times some number"?
6t - 5
5t - 6
5 - 6t
6 - 5t
Find the area of the rhombus. Each indicated distance is half the length of it’s respective diagonal.
(image included)
Answer:
384 ft²
Step-by-step explanation:
12x16x2=384
HELPPPPPPPPPPPPPPPPPPPP
Answer:
around 13.18
Step-by-step explanation:
the middle square is 2*2 = 4
the triangle then is 2^2 + 6^2 = 40 -> sqrt40 = 6.325
and then 2^2 + 2^2 = 8 -> sqrt8 = 2.828
4+6.325+2.828 = 13.18
Answer:
8
Step-by-step explanation:
because since it is a square all sides are the same length you can either add 2+2+2+2 or you can do 2x2=4x2 which equals 8
Consider the diagram. What is the value of x
Answer:
x = 6
Step-by-step explanation:
8x + 7x = 90
15x = 90
15x/15 = 90/15
x = 6
Please help me pleasere
Answer:
7
Step-by-step explanation:
what is the equation of the line in slope-intercept form?
Answer:
y = 8x
Step-by-step explanation:
Slope intercept form is y = mx + b
y = y coordinate
m = slope, rise over run
x = x coordinate
b = y-intercept, where the line crosses the y-axis.
y = mx + b
y = 80/10x + 0
y = 8x + 0
y = 8x
Answer:
y=-8x
Step-by-step explanation:
PLEASE HELP ME!!!! I REALLY NEED HELP!
Answer:
20
Step-by-step explanation:
120*1/5= 24
120*1/3= 40
120*3/10= 36
120-24-40-36= 20
Which of the following describes the number 6 in the equation 6z = 12?
Help pleas
Answer:
2
Step-by-step explanation:
6x2=12
6z=12=2
12/2=6
Answer:
a term
Step-by-step explanation:
Write an equivalent expression that does not use parentheses.
3(6x + 2)
Answer:
Step-by-step explanation:
Apply the Distributive Rule
3(6x+2) = 3·6x + 3·2 = 18x + 6
Plz help if correct ill give brailiest
Answer:
At most 5
At least 0
Step-by-step explanation:
22 - 17 = 5
You can't have no more than 5, and you can have none join at all.
Answer:
At the most, it will be 5
At least it will be 0
You can't have anymore than 5, and you can have none join at all.
Step-by-step explanation:
22 - 17 = 5
You can't have anymore than 5, and you can have none meet at all.
Name the longest and shortest side in each triangle.
Which function is represented by the graph below?
Answer:
Step-by-step explanation:
y=-4x+2
Answer:
y=2x-4
Step-by-step explanation:
Becuase the x axis croses -4, so you would draw a line starting at the bottom through negative 4. Then since their is a positive 2 you would keep drawing the line on the untill you see a 2 which would be on the y axis.
Jordan was planting a garden. She wanted the bottom of the garden to have an area of 48 feet. She wanted the width to be 3/4 the length. What are the dimensions of the garden
16)
X = 5
y=-3
What is the solution to the system of equations?
A)
(0,0)
B)
(5.-3)
(-5,3)
D)
(-3,5)
Answer:
B) (5, -3)
Step-by-step explanation:
A cylinder has a diameter of 14 cm and a volume of 112 Pi cubic centimeters what is the height in centimeters of the cylinder
Answer:
8
Step-by-step explanation:
Which value from the set makes 54/x=9
true?
A.54
B.45
C.27
D.6
Answer:
D
Step-by-step explanation:
PLEASE HELP!!!!
The composite figure shown is made of a trapezoid and a
square. What is the area of the figure
Answer:
164 ft squared
Step-by-step explanation:
Which rational number is NOT greater than point A?
Answers:
2 1/4
1.95
2.05
1 6/24
Roll 2 six-sided number cubez how many possibilties contain only even numbers
Answer:
1/2 of the possibilities are even number
Step-by-step explanation:
Add all of the sides together, you get 12, count on even numbers until you get to 12. 2,4,6,8,10,12. that's six numbers which is half of 12. so half of the possibilities are even.
Daniel measures pieces of wood for a project. These are lengths, In Inches:
3 1/2
10 1/4
4 1/2
6
12 3/4
8
12 1/2
2 1/2
5 1/4
6
9 1/2
12
What is the range of the lengths?
A. 6 in.
B. 7 in .
C.8 1/2 in.
D.10 1/4 in.
E. 12 3/4 in.
if a state issued license plates using the scheme of one letter followed by five digits, how many plates could it use
Answer:
786240 different license plates.
Step-by-step explanation:
The required number of plates that can be used is 2,599,974.
Given that,
State-issued license plates use the scheme of one letter followed by five digits, how many plates could it used is to be determined.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
here,
Maxium five-digit number = 99999
Total letters = 26
Number of plates = 26 × 99999 = 2,599,974
Thus, the required number of plates that can be used is 2,599,974.
Learn more about simplification here:
https://brainly.com/question/12501526
#SPJ2
(question in picture) please help me!!
Answer:
B is the correct answer hope this helps!
What is the maximum value and what is the point the maximum value is at?
9514 1404 393
Answer:
z = 47 at (x, y) = (3, 8)
Step-by-step explanation:
In the attached graph, the inequalities are graphed as their opposites, so the feasible solution region is the white area of the graph. The dashed boundary lines are part of the feasible region. The vertex of the feasible region that is farthest from the origin is ...
(x, y) = (3, 8)
The value of z there is 5·3 +4·8 = 47.
The maximum value of z is 47 at the point (x, y) = (3, 8).
A line has a slope of 2/3 and passes through the point (6,11)
Answer:
y=2/3x+7
Step-by-step explanation:
y-y1=m(x-x1)
y-11=2/3(x-6)
y=2/3x-12/3+11
y=2/3x-4+11
y=2/3x+7