The height of a box that has a base area of 36 sq. in. and a volume of 108 cubic inches is: 3 inches.
Recall:
The formula for the volume of a box = base area × height
Given the following dimensions:
base area of box = 36 sq. in.
Volume = 108 cubic inches.
Required: height of the box
Plug in the given values into the formula for the volume of a box
108 = 36 × height
Divide both sides by 36
height = 108/36
height = 3 inches
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Ndiba left the hardware store and drove toward the train station. Willie left one hour later driving 10 mph faster in an effort to catch up to him. After three hours Willie finally caught up. What was Ndiba's average speed?
[tex]\boxed{\sf Distance=Speed(Time)}[/tex]
Let
Ndibas speed be xWillies speed=x+10Both travelled same distance
[tex]\\ \sf\longmapsto 4x=3(x+10)[/tex]
[tex]\\ \sf\longmapsto 4x=3x+30[/tex]
[tex]\\ \sf\longmapsto x=30mph[/tex]
-12x - 5y = 40
12x - 11y = 88
Answer:
(0, -8)
Step-by-step explanation:
hope this helps! :D
have a miraculous day, and brainliest is immensely appreciated!! <3
subtract:-
-5/12 from 2
2 5/12 or 29/12
hope it helps ?
study well:)
Answer: Deopends. See below.
Step-by-step explanation:
-5/12 from 2
The question is poorly worded. Is it asking us to subtract -5/12 from 2? Or are we being asked to subtract 5/12 from 2?
Assuming the first:
2 - (-5/12)
2 + 5/12
2 5/12 or 24/12 + 5/12 = 29/12
Assuming the second:
2 -5/12
24/12 - 5/12
19/12
can someone help me with this
[tex]\huge \bf༆ Answer ༄[/tex]
Question 1 : [tex] \sf \sqrt{5 {}^{9} } [/tex][tex] \sf{(5 {}^{9} ) }^{ \frac{1}{2} } [/tex][tex] \sf {5}^{ \frac{9}{2} } [/tex]Question 2 : [tex] \sf \dfrac{1}{ \sqrt[3]{12} } [/tex][tex] \sf \dfrac{1}{12 {}^{ \frac{1}{3} } } [/tex][tex] 12 {}^{ - \frac{1}{3} } [/tex][tex]\sf -4(-4x-5)[/tex]
Answer:
[tex] - 4( - 4x - 5) = - 4 \times - 4x - ( - 4) \times ( - 5) \\ = 16x - 20[/tex]
Answer:
[tex]16x+20[/tex]
Step-by-step explanation:
[tex]-4(-4x-5)[/tex]
[tex]\mathrm{Multiply\:}-4\mathrm{\:to\:the\:values\:in\:the\:parenthesis}[/tex]
[tex]-4(-4x-5)[/tex]
[tex]-4\cdot-4=16[/tex]
[tex]-4\cdot-5=20[/tex]
[tex]=16x+20[/tex]
Please help me with this question
if any doubt leave a comment
During her vacation, Leslie traveled 578.78 miles in 3 days.
On the first day, she traveled 197.07 miles, and on the second day, she traveled 187.11 miles. how many did she travel the 3rd day?
Answer:
I think the answer is 194.6 miles on the third day
Step-by-step explanation:
Determine what type of model best fits the given situation: A 4% raise in salary each year. A. none of these B. exponential C. linear D. quadratic
Answer: C. linear
Step-by-step explanation:
Since the raise is going to be a constant amount, a 4% raise, the model will be linear.
Correct me if I am incorrect.
-5⎜x - 3⎟ - 5 < 15
Pls
−5(|x−3|)−5<15
Step 1: Add 5 to both sides.
−5(|x−3|)−5+5<15+5
−5(|x−3|)<20
Step 2: Divide both sides by -5.
−5(|x−3|)
−5
<
20
−5
|x−3|>−4
Step 3: Solve Absolute Value.
|x−3|>−4
We know eitherx−3>−4orx−3<−(−4)
x−3>−4(Possibility 1)
x−3+3>−4+3(Add 3 to both sides)
x>−1
x−3<−(−4)(Possibility 2)
x−3<4(Simplify both sides of the inequality)
x−3+3<4+3(Add 3 to both sides)
x<7
Answer:
x>−1 or x<7
Which graph or graph shows a proportional relationship
Answer:
C) Graph A and Graph C
Step-by-step explanation:
A proportional relationship has a constant rate of change and goes through the origin. When graphed, the line should be straight and should go through the origin (0,0) as well.
Graph b does not show a straight line so B does not show a proportional relationship.
Graph D shows a straight line but the line does not go through the origin and therefore is not a proportional relationship.
Graphs A and C both show straight lines that go through the origin meaning that they are both proportional relationship.
Thus, the answer is C) Graph A and Graph C
Jane drew a scale drawing of a city park. She used the scale 3 centimeters : 4 meters. The soccer field is 108 meters long in real life. How long is the field in the drawing?
The length of the field in the drawing is 81 cm
What is Proportion?
The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.
Given data ,
Scale of the drawing : Length in meters is in the ration 3 cm : 4 m
Length of the soccer field is 108 m
Now , length of 108 m soccer field in scale of drawing = x
From proportion formula , we can deduce that
3 : 4 : : x : 108
So ,
3/4 = x/108
Multiply by 108 on both sides , we get
( 3 x 108 ) / 4 = x
x = 3 x 27 cm
x = 81 cm
Hence , length of the field in the drawing is 81 cm
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If the base of the parallelogram is 8 and the perimeter is 28 then what is the area?
Answer:
the answer is 28 for the area.
Type the missing number in this sequence:
-2,
-50,
-250,
-1,250,
-6,250
Answer:
the next is -2 × 5 = - 10
Step-by-step explanation:
the sequence is times 5
Find the first three term if the general nth term is T = 2-n
Tn = 2n - 6
to find first term ,n= 1
substitute n for 1 in the equation
T1 = 2(1) - 6
T1 = 2 - 6 =-4
to find second term , n =2
substitute n for 2 in the equation
T2 = 2(2) - 6
T2 = 4 - 6 = -2
to find third term, n = 3
substitute n for 3 in the equation
T3 = 2(3) - 6
T3 = 6–6 = 0
FIRST TERM = -4
SECOND TERM = -2
THIRD TERM = 0
What is the missing angle of the triangle 48° 58°
Answer:
74 degrees
Step-by-step explanation:
Start w/180 degrees. (The total measure of a triangle.) Then subtract 106 (the sum of the 2 known angles) from 180. We then get 74 degrees (The measure of the missing angle)
What point of concurrency in a right triangle is also the midpoint of the hypotenuse?
A. centroid
B. incenter
C. circumcenter
D. orthocenter
The point of concurrency in a right triangle is also the midpoint of the hypotenuse is its circumcenter .
What is point of concurrency?A point of concurrency is a place where three or more, but at least three lines, rays, segments or planes intersect in one spot. If they do, then those lines are considered concurrent, or the the rays are considered concurrent.
What is Triangle Concurrency Points?There are 4 different points of concurrency in the triangle are:
1. Circumcenter
The circumcenter is the point of concurrency of the perpendicular bisectors of all the sides of a triangle.
For an obtuse-angled triangle, the circumcenter lies outside the triangle.
For a right-angled triangle, the circumcenter lies at the hypotenuse.
2. Incenter
The incenter is the point of concurrency of the angle bisectors of all the interior angles of the triangle.
3. Centroid
The point where three medians of the triangle meet is known as the centroid.
4. Orthocenter
The point where three altitudes of the triangle meet is known as the orthocenter.
For an obtuse-angled triangle, the orthocenter lies outside the triangle.
According to the question
The point of concurrency in a right triangle is also the midpoint of the hypotenuse.
According to the Triangle Concurrency Points
For a right-angled triangle, the circumcenter lies at the midpoint of the hypotenuse.
Hence, The point of concurrency in a right triangle is also the midpoint of the hypotenuse is its circumcenter .
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HELP!!!!!
M
list the sides of ABC in order from shortest to longest
M list the sides of ABC in order from shortest to longest
Answer:Sum of angles in a triangle = 180
Angles A + B + C = 180
80 + 3x + 5 + 5x - 1 = 180
3x + 5x = 180 - 80 - 5+1
8x = 96
x = 96/8
x = 12
So angle A = 80, B = 3x + 5 = 3*12 + 5 = 36 + 5 = 41, C = 5x - 1 = 5*12 - 1 = 60 - 1= 59
Angle A = 80, B = 41, C = 59
So the smallest side is the side facing the smallest angle and the largest side is the side facing the largest angle.
So from the smallest to biggest side:
AC < AB < BC
Arigatou gozaimasu!!
Which of the following values for x will make relation A shown below a function?
A={(3,5),(4,9),(7,2),(x,6)}
A 3
B 4
C 5
D7
Please help fast!!!!
1) WET SURPRISE A water balloon is launched off of a patio. The path of the water
balloon can be modeled by h(t) = -6t2 + 13t + 5, where h(t) is the balloon's height in feet and t is the time in seconds after the balloon is launched.
a. How long will it take for the balloon to splat on the ground?
The function of the water balloon is an illustration of a quadratic function.
The balloon will splat on the ground after 2.5 seconds
The function is given as:
[tex]h(t) = -6t^2 + 13t + 5[/tex]
When the balloon splats on the ground, the value of h(t) is 0.
So, we have:
[tex]-6t^2 + 13t + 5 = 0[/tex]
Expand the expression
[tex]-6t^2 + 15t- 2t + 5 = 0[/tex]
Factorize the above expression
[tex]-3t(2t - 5)- 1(2t - 5 )= 0[/tex]
Factor out 2t - 5 in the 2t - 5
[tex](-3t - 1)(2t - 5 )= 0[/tex]
Split the equation into 2
[tex]-3t - 1 = 0\ or\ 2t - 5= 0[/tex]
Rewrite as:
[tex]-3t = 1\ or\ 2t = 5[/tex]
Solve for t
[tex]t = -\frac 13\ or\ t = \frac 52[/tex]
The value of t cannot be less than 0 i.e. negative.
So, we have
[tex]t = \frac 52[/tex]
Divide 5 by 2
[tex]t = 2.5[/tex]
Hence, the balloon will splat on the ground after 2.5 seconds
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omg please help for brainlist !!!!!!!!!!!!!!!!!!!
Answer:
f(x) is linear
g(x) is exponential
Step-by-step explanation:
A linear function will always have the same rate of change between equally distant points, while an exponential function will have an increasingly large rate of change between equally distant points.
First, look at f(x). All these points are equally distant at 2 units apart on the x-axis, so they can be directly compared:
[tex](-38)-(-18)=-20\\(-58)-(-38)=-20\\(-78)-(-58)=-20[/tex]
All of these points are the same distance apart on the y, so f(x) must be a linear function.
Now look at g(x). These are also all equally distant at only 1 unit apart.
[tex]30-10=20\\90-30=60\\270-90=180[/tex]
These are very clearly not the same distance apart on the y, so g(x) must be the exponential function.
How many hours is 7:45 to 1:00
Step-by-step explanation:
There are 17 hours between 7:45 to 1:00
What is the product of (6.2*10^4) * (3.4*10^-2)? I got 2,108. am I right?
Answer:
yes you are right
Step-by-step explanation:
Answer:
Yes, you are right!
Step-by-step explanation:
I hope this helps!
Which inequality represents this sentence?
A number is at least 65
On < 65
On > 65
On > 65
On < 65
Answer:
n ≥ 65Step-by-step explanation:
A number is at least 65. It means the number n can be 65 or greater.
Its translation is:
n ≥ 65The answer options don't have this included.
Let the number be n
At least 65 means the number is equal to 65 or greater than 65.Hence here we use greater than equal to sign.Inequality:-
[tex]\\ \sf{:}\Rrightarrow n\geqslant 65[/tex]
Write an equation in slope-intercept form of the line that passes through the points (-2.3) and (2.7)
I'm pretty sure the answer is y=x+5
Write an expression that is equivalent to 2 (4x +9)
Answer:
8x/3+6 is equivalent and simplified
i need help with this!!
Answer:
12
Step-by-step explanation:
So Josh is 6 years older than kims age and the sum of the ages is less than 31, the greatest number that is less than 31 is 30 so we can use that.
We can make an equation out of this and solve it.
n+(n+6)=30
2n+6=30
2n=24
n=12
12 is the oldest Kim could be.
12+(12+6)=12+18=30.
What is 3/10 of 2560
Answer:
768
3/10 times 2560 simply equals 768 after the calculations are done
What is the 2nd equivalent fraction to 5/7
Hello!
2nd equivalent fraction to is 5/7 is 10/14.
Other equivalent fractions are 15/21, 20/28, 50,70...
I hope this helps,
Have a great day!
(
3.9
×
10
−
5
)
(
7
×
10
−
3
)
Answer:
2278
Step-by-step explanation:
(3.9×10−5)(7×10−3)
= (39 - 5)(7 x 10 -3)
= (39 - 5)(70-3)
= 34(70-3)
= 34 x 67
= 2278