What is this 3(x+2)<4(x−2)
the area of a window is 192 in squared. The width if the window is four inches more than half the length of the window. What are the dimensions of the window?
Answer:
Length = 16 inches and width = 12inches
Step-by-step explanation:
A = 192 in² . The width is 4 + 1/2x. therefore let x = length
Area = LW
192 = x(4 + 1/2 x)
192 = 4x + 1/2x²
384 = 8x + x² Multiply each term by 2 to make a
384 + 16 = x² + 8x + 16 Complete the square
400 = (x + 4)²
[tex]\sqrt{400} = \sqrt{(x + 4)^2}[/tex]
± 20 = x + 4
20 = x + 4 or -20 = x + 4
20 - 4 = x or -20 - 4 = x
16 = x or -24 = x reject the negative amount
Length = 16
width = 4 + 1/2(16); 4 + 8 = 12
A person bought a water tank of circular base having the radius 1.05 meter and height 3.5 m for the use of own house from the shop. If the upper part of the tank is semi spherical , how many liters of water will be contained in the tank. Find it!
Help!! :)
11000 litre of water is needed to fill the tank.
Answer:
solution given:
radius [r]=1.05m
Total height[H]=3.5m
height of cylinder[h]=2.45m
Now
The volume of the cylindrical part of tank=[tex]\pi r^2h=3.14*1.05^2 *2.45=8.4815m^3[/tex]
again
the volume of semi-spherical part of tank=[tex]\frac{2}{3} \pi r^{3} =\frac{2}{3}*3.14*1.05^3=2.4233m^3[/tex]
now
total volume=volume of the cylindrical part of tank + volume of semi-spherical part of tank
=8.4815+2.4233=10.9048 [tex]m^{3}[/tex]
we have
[tex]1m^3=1000litre[/tex]
[tex]10.9048m^3=1000*10.9048=10904.8\:litre[/tex]
Step-by-step explanation:
Two lines are intersecting. What is the value of x?
(x + 26)
(3x - 6)º
Answer:
i don't know sorry
what is the answer in the remainder
Answer:
12 with a remainder of 5
Step-by-step explanation:
have a good day! :)
Can u please help me solve this much appreciated
WHICH PROPERTY IS BEING USED IN THE FOLLOWING?
15 × 1 = 15
Answer:
This is the Idenity Property
Step-by-step explanation:
The Identity Property for multiplication states that anything times 1 is the same number.
3x1=3, and 8192x1=8192 (Do you play 2048?)
The zero property: Anything multiplied by zero is zero.
1000000000000000000000000000000x0=0, 4096 x 0 = 0, and so on.
The associative property: Any where numbers are grouped in parenthesis or brackets, you still get the same answer.
(6 x 7) x 78 is the same as 6 x (7 x 78)
The commutative property: When you switch the order of numbers, you get the same answer.
256 x 32 is the same as 32 x 256
write an equation that represents the data in the table:
x - 5, 10, 15, 20
y - 17, 22, 27, 32
what is the answer to this question 1.6x + 30
NEED HELP NOW!!!
Properties of Perpendicular Bisectors Properties of Both Perpendicular Bisectors and Angle Bisectors Properties of Angle Bisectors
The bisector passes through the midpoint of a segment
The bisector is equidistant from the endpoints of the segment
The bisector can only exist if the original figure is a line segment.
The bisector cuts the original figure into two congruent parts.
The bisector is equidistant from portions of the figure.
Only one of each type of bisector exists in a plane.
The bisector passes through the interior of an angle.
The bisector creates a right angle with the figure.
The bisector is equidistant from the sides of the angle.
Which piece of information is incorrectly placed in the table?
A. The bisector cuts the figure into two congruent parts.
B. The bisector is equidistant from portions of the figure.
C. The bisector passes through the midpoint of a segment.
D. The bisector creates a right angle with the figure.
D.
Explanation:
a landscape of farmland bisected by long straight roads"
divide into two parts.
hope I help you ☺️❤️
:) :>
A sequence starts from -2. The term to term rule is 'square and subtract 3' find the first six numbers of the sequence
Answer:
The first six numbers are [tex]-2,1,-2,1,-2,1[/tex]
Step-by-step explanation:
First term is [tex]-2[/tex]
The term to term rule is 'square and subtract [tex]3[/tex]'
Second term[tex]=(-2)^{2} -3=1[/tex]
Third term[tex]=(1)^{2} -3=-2[/tex]
Fourth term[tex]=(-2)^{2} -3=1[/tex]
Fifth term[tex]=(1)^{2} -3=-2[/tex]
Sixth term[tex]=(-2)^{2} -3=1[/tex]
The first six numbers are [tex]-2,1,-2,1,-2,1[/tex]
Order the side lengths from least to greatest.
Answer:
38, 40, and 102
Step-by-step explanation:
when we take a look at this problem which looks the smallest to you? 38! so then whe look again and which looks the second smallest..? 40. so then we are left with 102 which is the biggest number. Therefore your answer is 38, 40, and 102
Sports science researchers determined that, for those people who skateboard, 22% have never had an injury, 45% have had one injury, 18% have had two injuries, and 15% have had three or more injuries. What is the probability that a randomly chosen skateboarder has had at least one injury?
0.22
0.45
0.50
0.78
Answer: D) 0.78
Step-by-step explanation:
Add all the given probabilities to find the answer:
45/100 + 18/100 + 15/100 = 78/100 = 78% or 0.78
Select the correct answer.
Martha manages a home improvement store and uses this function to model the number of customers that visit the store each hour on a
Saturday afternoon.
n(t) = -2.82t2 + 25.746 + 60.87
Which graph would most likely be associated with this model?
The given quadratic equation gives the parameters of the shape of the
graph of the equation.
The graph that is most likely associated with the model is; graph BReasons:
The given function is n(t) = -2.82·t² + 25.74·t + 60.87
by analyzing the above function, we have;
At t = 0
n(0) = -2.82 × 0² + 25.74 × 0 + 60.87 = 60.87
The x-coordinate of the maximum point is given by [tex]\displaystyle x = -\frac{b}{2 \cdot a}[/tex]
Which gives;
[tex]\displaystyle t = -\frac{25.74}{2 \times (-2.82)} \approx 4.564[/tex]
The maximum value of the function is therefore;
n(4.564) = -2.82 × 4.564² + 25.74 × 4.564 + 60.87 ≈ 119.61
The characteristics of the equation are;
Initial value of equation = 60.87
t-coordinate of the maximum point, t ≈ 4.564
Maximum value of the of the function = 119.61
By comparing with the given graphs, we have;
[tex]\begin{tabular}{c|c|c|}&Graph A&Graph B\\Initial value&100&75\\t-value at max point&7&4\\Maximum value&200&125\end{array}\right][/tex]Therefore, the graph that will most likely be associated with the model is; graph B.
Learn more about graphs of quadratic equations here:
https://brainly.com/question/10989920
Answer:
The correct answer is graph B.
Step-by-step explanation:
I got it right on the Edmentum test.
2. Sol went to the store to buy tomatoes. They were $1.89 per pound: Last week, the
price per pound was 30% lower. What was the price of tomatoes last week?
Answer:
1.323
Step-by-step explanation:
We can find 30% of 1.89 by multiplying: 1.89 x 0.3 = 0.567
Then, we must subtract: 1.89 - 0.567 = 1.323
Which equation choice could represent the graph shown below?
yo can i get sum help over here
Answer:
0.1 i think
Step-by-step explanation:
each line is 0. *number* until u reach 1 then it goes to 1.*number*
Answer:
0.1
Step-by-step explanation:
What number multiplied by 3/10 is equal 2/3?
Answer: 20/9
Step-by-step explanation:
Sarah rolls 2 fair dice and adds the results from each.
Work out the probability of getting a total of 2.
Answer:
1/36.
Step-by-step explanation:
She gets 1 on the first dice and 1 on the second.
This is the only way Sarah can get a sum of 2.
The total possible outcomes is 6*6 = 36.
So the required probability is 1/36.
PLEASE HELP ASAP! I WILL MARK YOU BRAINLIEST.
Answer two questions about Equations A and B
A. 2x-1=5x
B.-1=3x
1)How can we get Equation B from Equation A?
Choose 1 answer:
A. Add/subtract the same quantity to/from both sides
B. Add/subtract a quantity to/from only one side
C. Rewrite one side (or both) by combining like terms
D. Rewrite one side (or both) using the distributive property
2) Based on the previous answer, are the equations equivalent? In other words, do they have the same solution?
A. Yes
B. No
Answer:
2x-1=5x
-1=3x
1.A. we take away 2x from both sides
2.A they are the same sine they both have the same solution of -1/3
Hope This Helps!!!
Answer:
Rewrite one side by combining like terms A yes the equations are equivalent meaning they have the same solution
Step-by-step explanation:
Hope this helped
Please show your work !! 3and 4
Step-by-step explanation:
#3. 3^⅓ × 9^⅓ ......make the bases the same
3^⅓ × (3²) ^⅓
3^⅓ × 3^⅔ .....since the bases are the same, add the powers
3^ (⅓+⅔)
3^1
3
#4. ( x +6) ^ 3/5 = 8¹....multiply both sides by the reciprocal of 3/5
(x + 6) ^3/5 *5/3= 8^¹*5/4
x + 6 = 8^5/3
x + 6= ( 3√8)^5
x + 6 = 2^5
x + 6 = 32
x = 32 -6
x = 26
hope this helps!
Not sure though
on a map of the northwest territories,4.0cm represents 920km. how far is it from tuktoyaktuk to fort smith is the distance on the map js 6.0cm
Answer:
1380 km
Step-by-step explanation:
Each 4 cm = 920 km
6 cm is 1.5 x 4, so multiply 920 x 1.5
M<2= x+49 (geometry)
Use the information in the diagram to determine the height of the tree. The diagram is not to scale.
Step-by-step explanation:
the scenario creates 2 similar triangles :
one main triangle with the house height the double floor distance and the double line of sight from the left point on the floor to the top of the house.
and the other triangle is the height of the tree, the single floor (from the left point to the tree) distance, and the single line of sight from the left point on the floor to the top of the tree.
similar triangles means : all angles are the same. and the side lengths of one triangle correlate to the corresponding side lengths in the other triangle by the same multiplication factor.
and that means that the floor distances of small and large triangle have the same ratio, as the view of line distance AND the height sizes.
we see : large triangle side / small triangle side = 2/1 = 2
and therefore, the same factor (2) applies to the heights.
so,
height of house / height of tree = 2
therefore,
height of tree = height of house / 2 = 150/2 = 75 ft
Tommy is reading at a rate of 4 pages every 16 minutes. Write an equation that shows Tommy’s reading rate in pages per minute.
Answer:
0.25 pages per minute
Step-by-step explanation:
4 pages per 16 mins.
4/16 = 0.25
0.25 pages per minute
its a word equation, hopefully this helped!
NEED HELP ASAP PLZ HELP
Answer:
y=0.68x + 0.22
Step-by-step explanation:
HOPE THIS HELPS :)
I WILL GIVE BRAINLIEST Hey can someone tell me simply HOW to come to this conclusion? im a bit confiused as to how, dont want to cheat i want to learn. (P.S ive missed multiple grades which has left me with alot of gaps to fill.)
Answer:
Option B, x + 2y = 8
Step-by-step explanation:
When two lines are parallel, their gradients are equal i.e M1 = M2
(Note: When two lines are perpendicular, the product of their gradients is equal to - 1 i.e M1M2 = -1)
Gradient of a line = (y2 - y1)/(x2 - x1)
Using coordinates (-4,0) and (4,-4)
Gradient of the line = (-4-0)/[4-(-4)]
= -4/4+4
= -4/8
= -1/2
Therefore gradient of the parallel line is -1/2
Equation of a line using slope intercept form
(y - y1) = m(x - x1)
The parallel line passes through point (2,3)
y - 3 = -1/2 ( x - 2)
2(y - 3) = -1(x - 2)
2y - 6 = -x + 2
2y + x = 8
I hope this helps you to learn....
Trevor paid a total of $1.08 in fines for an overdue library book. If the penalty for overdue books is $0.09 per day, how many days late was the book?
2 days
8 days
12 days
20 days
Answer:
12
Step-by-step explanation:
You have to divide the total by the number per day to solve this problem.
1.08/0.09=12
PLEASE HELP!!!!!!!!!!!!!
PLEASE NO LINKS AND NO NEGATIVITY
Answer:
8.9k
Step-by-step explanation:
Perimeter is the area around the object.
1.8k - 5 + 3.5 + 6.1k + k + 1.5
Combine like terms:
1.8k + 6.1k + k = 8.9k
-5 + 3.5 + 1.5 = 0
Therefore 8.9k is the answer. You dont need to include the +0 because it will not add anything to the answer. In the most simplified form, the answer is 8.9k
Hope that helps
Answer:
Step-by-step explanation: