A rectangular piece of metal is 30 in longer than it is wide. Squares with sides 6 in long are cut from the four corners and the flaps are folded upward to form an open
box. If the volume of the box is 1050 in3, what were the original dimensions of the piece of metal?
What is the original width? in
What is the original length in
breadth= X
L= x+30
after you cut a square with 6in from the corners, the length becomes x+30-6 =x+24 and breadth becomes x-6.
The eqn for volume of box is Length x Breadth x height
it's given that LxBxH = 1050
here height is 6, because u are folding the edge where it's been cut off and that side becomes the height.
rewrite with the given information we get
(x+24)*(x-6)*6 = 1050
divide both sides with 6
(x+25)*(x-6) = 175
distribute the brackets we get,
x^2 -18x -144 =175
x^2 -18x-319 = 0
solve for x using quadratic formula.
we get x= 29, -11
since length cannot be negative x= 29
B= 29, L=59.
HELPPP PLEASE YOU’LL GET 10 POINTS
Answer:
angle y and angle x
Step-by-step explanation:
Alexa uses the binomial theorem to correctly expand (x + 2)^4. Which is one of the terms in Alexa's
answer?
24x^2
6x^2
16x
2x^4
Answer:
24x^2
Step-by-step explanation:
When expanded (x+2)^4= x^4+8x^3+24x^2+32x+16
The only term that matches with these is 24x^2
Answer:
24x^2
Step-by-step explanation:
HELP PLEASE DUE IN 4 MINUTES
Step-by-step explanation:
A rectangular poster has an area of 38 square feet. It is 4 3/4 feet wide at its base. What is the height of the poster
Answer: The height is 8
Step-by-step explanation:
4.75 x 8 = 32
a Carver begins work on the following block of granite that weighs 2700g what is the density of the granite
Density" of the given granite block is 2.7g/cm
3
.
Explanation:
Density of an object is defined as the mass occupied per unit volume. “Density” is represented by “ρ”. Mathematically, \rho=\frac{m}{v}ρ=
v
m
where, “m" mass of an object and "v" is volume of an object.
Given that,
Dimensions of the block are 20 cm, 5 cm and 10 cm.
\text { Volume of the block is } l \times b \times h Volume of the block is l×b×h
\text { Volume of the block is } 20 \times 5 \times 10 Volume of the block is 20×5×10
\text { Volume of the block is } 1000 \mathrm{cm}^{3} \text { . } Volume of the block is 1000cm
3
.
Mass of the block is 2700 g.
Substitute the given values in \rho=\frac{m}{v}ρ=
v
m
to find density of a block.
\rho=\frac{2700}{1000}ρ=
1000
2700
\rho=2.7 \mathrm{g} / \mathrm{cm}^{3}ρ=2.7g/cm
3
\text { "Density" of the given granite block is } 2.7 \mathrm{g} / \mathrm{cm}^{3} "Density" of the given granite block is 2.7g/cm
3
2. Define any variables and tell the slope and y-intercept of the situation. Then, write an equation to represent
the situation.
An electrician charges $75 for a service call and $25 for each hour they are on the job. If the electrician spends x hours at a house, what will the total charge, C(x) be?
Answer:
x=number of hours
c(x)= 25x+75
y-intercept= (0, 75)
Equation= y=25x+75
Slope= 25
Step-by-step explanation:
75 would be the y intercept(constant) because that's the initial charge for a call.
25 would be the coefficient for x because the hour you spend on the call varies.
The slope is how steep the line is, in this case it is 25.
x is the number of hours because that is the time that varies.
Find the exact trigonometric value:
sin 255
Answer:
−0.965925826289068
Step-by-step explanation:
sin 255 = −0.965925826289068
The data is shown below:
91, 48, 86, 49, 77, 86, 64, 78
What is the median?
a. 72.37
b. 74
c. 86
Answer: 72
Step-by-step explanation: Its in the middle
a lot of points, Show your work to explain how you found your answers?
Answer:
5500 ml or 5.5 liters
Step-by-step explanation:
First, we should note that there are 1000 milliliters in 1 liter of liquid.
So, in milliliters, Peter filled three containers with 1500 ml, 750ml, and 2250 ml with 1000ml left over.
To find the total amount, we find the sum of all the milliliters:
1500 + 750 + 2250 + 1000 = 5500 ml
Again, we know that there are 1000 milliliters in 1 liter of liquid, so:
[tex]\frac{5500}{1000}[/tex] = 5.5 liters
SOME ONE HELP PLEASE
Answer:
1 23/32
Step-by-step explanation:
hi, dont sweat it! i gotchu.
I need help quick !!!!!!!!!!!!!!!!!!!!!!
Answer:
192ft squared. But remember it says don't put the square feet so just type in: 192.
Step-by-step explanation:
The top triangle is 42 ft squared.
The rectangle below it is 150 feet squared.
You add them together and get 192 ft squared hope this helps!
Anybody can tell me How to solve |8|+|-6|?
A Random survey of 25 students in each grade level of school was conducted to determine whether the students preferred to have less time between classes. The results are shown in the table
Answer:it is b
Step-by-step explanation:
Because I know
Is it a function yes or no
Answer:
no
Step-by-step explanation:
Answer:
yes
Step-by-step explanation:
What is the probability of flipping a coin 85 times and getting tails 30 times or
fewer?
A. 99.8%
B. 33.2%
C. 95.9%
D. 0.4%
Answer:
C
Step-by-step explanation:
Answer:
0.4
Step-by-step explanation:
Explain why (x+1)(3x-6) is NOT a complete factorization of 3x^2-3x-6
Answer:
The real answer is:
3x^2 -6x+3x-6
Step-by-step explanation:
If θ is an angle in standard position whose terminal side lies in quadrant III and sin θ=-√3/2, find the exact value of the tan θ
Answer:
C) √3
tanθ = √3
Step-by-step explanation:
Step:-1
Given that θ be an angle in standard position whose terminal side
Given that the angle
sinθ = [tex]\frac{-\sqrt{3} }{2}[/tex]
Given that the Opposite side AB = [tex]\sqrt{3}[/tex]
Hypotensue AC = 2
Step(ii):-
By using Pythagoras theorem
AC² = AB² +BC²
BC² = AC² - AB²
BC² = 4 - (√3)²
= 4-3
BC = 1
Adjacent side(BC) = 1
Step(iiI):-
Given that 'θ' lies in the third quadrant so tanθ is positive
tanθ = [tex]\frac{AB}{BC} = \frac{\sqrt{3} }{1}[/tex]
Answer:
b. -1/2
Step-by-step explanation:
:)
NEED HELP ASAP!!!!!!!!!
Answer:
i dont get it.....................................................................
Step-by-step explanation:
question is above in the picture
Answer:
Known
Step-by-step explanation:
I hope this helps :)
Answer:
Known. The other answers are absurd.
Step-by-step explanation:
In geometry, often times you must have at least one angle to problem solve and find the rest. So having a known angle to build off of is important. Vertical Angles and Supplementary Angles are examples of things that require a known angle to find the rest. Why?
Say you only know one angle and the other is congruent to that angle, but across from it...Due to the theory of vertical angles, you now know the other side has to be the same/congruent. For supplementary angles, say you're dealing with a shape like the one I've attached. Once you have a or b, you can determine c. You have to know at least one of those angles to determine it's other unknown angles.
Mariel says that a jewelry box that is 3 inches high, 4 1/2 inches wide, and 5 inches long has a volume of 67 1/2 inches. Katie says that answer is not quite correct. What is the error in Mariel's answer?
Answer: inside width, length and heights may be smaller
Step-by-step explanation. Walls of box have certain thickness, assume 0.1 inches. Then inner measures would be 2.8 in, 4.3 in and 4.8 in. You need to reduce thickness of wall from both sides.
Eight more than the product of a number and 4 is equal to 9
Answer:
1/4
Step-by-step explanation:
8 + 4n = 9
4n = 1
n = 1/4
2. What is the solution to the inequality
--4x > 132? Show your work
Answer:
x < -33 ( mark me as the brainliest )
Step-by-step explanation:
1) -4x > 132
2) -4x/4 > 132/-4
3) x < -33
x
What is the angle of elevation of the sun when a 50-ft
mast casts an 18ft shadow? Round to the nearest
whole number.
Tano
50
Tan 0 =
18
0=
Opposite Leg
Adjacent Leg
Submit
50ft
How do I solve this please it’s the last problem
Answer:
[tex]\theta \approx 1.23^\circ[/tex]
Step-by-step explanation:
The expression has been given as:
[tex]tan(\theta) = \frac{50}{18}[/tex]
Required: Find [tex]\theta[/tex]
Simplify the fraction
[tex]tan(\theta) = 2.7778[/tex]
Take arc tan of both sides
[tex]\theta = tan^{-1}(2.7778)[/tex]
[tex]\theta \approx 1.23^\circ[/tex]
20 POINTS HELP MATH RN SUCSSS
Answer:
A
Step-by-step explanation:
3. $595 refrigerator; 22% discount.
Show the work
Answer:
Discount: $130.90
Total cost after discount: $464.10
Step-by-step explanation:
Since I don't know what the actual question is, I will solve for the discount:
595 × 22%
Convert percentage into decimal
595 × 0.22
130.9
Discount is 130.9
Now I'll solve for how much that will take off from the original price:
595 - 130.9
464.1
A science teacher fills a spherical bubble
Which answer best describes the shape of this distribution?
uniform
skewed left
bell-shaped
skewed right
An untitled line plot from 35 to 49. The plot displays the following values as dots above the corresponding value on the number line. One dot at 36. One dot at 37. One dot at 38. One dot at 40. Two dots at 41. One dot at 42. Three dots at 43. Four dots at 44. Five dots at 45. Three dots at 46. Two dots at 47. One dot at 48.
Answer:
huh what am i looking at
Step-by-step explanation:
step-by-step explanation
Answer:
its skewed left if you are in k12
Step-by-step explanation:
²³√∛·×÷±≈≠≤≥βα∞∨∧∉∈⇔,⇒≅≡ΔπФω↑↓∵∴↔→←⇵∀⊅⊄⊇⊆⊃⊂∑∫⇆⇄⇅°∠∡⊥∪∩∅¬⊕║∦∝㏑㏒∞
What do all of these symbols stand for?
Answer:
Mathematical symbols used for different calculations?
Mari left a tip of $14.00 for a meal that cost $69.00. Approximately, what percent of the tip did she leave?