Answer:
Area of the cabinet to be painted = 56 ft²
Step-by-step explanation:
The cabinet is shown in the diagram. To find the surface area of the cabinet we will find the surface area of the rectangular cuboid.
Surface Area= 2 lb+ 2hb + 2lh
where l = length , b= breadth and h= height.
From the figure we see that the area of the bottom is given by length * breadth so deducting this from the total surface area of the cuboid gives the surface of the cabinet.
Area of the cabinet to be painted= lb+ 2hb + 2lh
Putting the values we get
Area of the cabinet to be painted = lb+ 2hb + 2lh
= 3* 1 1/3 + 2( 6 * 1 1/3) + 2( 3* 6)
= 3* 4/3 + 2( 6 * 4/3) + 2( 3* 6)
= 4+ 2(8) +2(18)
= 4+16+ 36
56 ft²
This is the outside area of the cabinet which is found front,back, top and two sides that need to be painted.
Dog food bad contains 18 cups to fill it up his friend dog eats 1 1/2 each day he says he'll be able to feed his dog for 27 days that true?
Answer:
It's not true because 18 cups will only last 12 days, not 27 days.
Step-by-step explanation:
1 1/2 = 3/2
3/2(27) = 40.5 cups
18 = 3/2c
c = 12
A curve is given the equation xy=25 and the equation of a line y=mx+b.
i. Express m in terms of b given that the line and the curve have one and only one point of intersection.
ii. If the line intersects the curve in two distinct points, find the set of values of b, given m=-5
Answer:
Below in bold.
Step-by-step explanation:
i, This is a rectangular hyperbola with symmetry about the line y = -x
If it touches the graph at one point only then
y = 25/x
y = mx + b so
25/x = mx + b
mx^2 + bx + 25 = 0
Using the quadratic formula:
x = (-b + sqrt(b^2 - 25*4*m)) / 2m
Now there's only one value of x so
b^2 - 25*4*m = 0
b^2 = 100m
m = b^2/100.
m = +/-b/10.
ii In this case b^2 > 100m
If m = |-5|
b^2 > 500
b > +/-√500
So b > √500 or b < -√500.
If Greg Has 15 Jars of Cookies, and there are 143 cookies IN TOTAL how many cookies are left over after EQUALLY distributing them.
WILL GIVE BRAINLIEST!!!!!!
Answer:
8 cookies left over
Step-by-step explanation:
use long division.
divide 143 by 15.the remainder is 8
Help plz i will give brainliest!!
Choose the expression that represents a quadratic expression.
A.) 6x4 − 5x3 + 3x2 −7x − 8
B.) 5x3 + 3x2 −7x − 8
C.) 2x2 + 3x − 1
D.) 3x − 1
Answer:
C. 2x^2 + 3x - 1
is the answer
THIS IS VERY IMPORTANT I WILL GIVE BRAINLIEST TO THE PERSON WHO DOES ALL 5 QUESTIONS FOR ME.
Answer:
Step-by-step explanation:
406525%Answer:
Q1; 40
Q2; 65
Q3; B (25)
Q4; A (?)
Q5; 63
Step-by-step explanation:
I believe
Plz help!!!!!
ctc math
Answer:
7,13,37,55,103
Step-by-step explanation:
y = 5 + 2x^2
if x =1
y = 5 + 2(1)^2
1^2 = 1
2 x 1 = 2
y=5 + 2 or y = 7
you substatute each one in for x to solve for y
PLSSSS HELPPPPPP 20 POINTS
the 180 days of school last year. Grace was absent 15 days . What percent of the days was she absent
Find the distance between the points (1,0) and (2,-2)
Distance = ?
please help!!!!
Answer:
√5
Step-by-step explanation:
use distance formula
PLS HELP!!
In the following diagram, L || M. (i think that's an L, i dont know)
Solve for each of the variables w, x, y, and z. For each solution, explain, in complete sentences which special angles allowed you to create an equation in order to find a solution.
Answer:
Un sistema de ecuaciones es un conjunto de ecuaciones con las mismas incógnitas. Un
sistema de ecuaciones lineales es un sistema de ecuaciones en el que cada ecuación es lineal. Una solución de un sistema es una asignación de valores para las incógnitas que hace
verdadera cada una de las ecuaciones. Resolver un sistema signifi ca hallar todas las soluciones del sistema.
Step-by-step explanation:
Help Pleaseeeeeeeeeeeeeee!
Answer:
12x+5=162
Step-by-step explanation:
Find the slope of the line y= -2/3x
In a class of 30 students, 6 play an instrument and 17 play a sport. There are 9 students who do not play an instrument or a sport. What is the probability that a student chosen randomly from the class plays neither a sport nor an instrument?
Help me please !!!!!!
Answer:
The y-int represents the base price of $200 for airfare from NYC
The slope represents a cost of 30 cents per mile traveled
If the base cost for airfare changed to $50 and the cost per mile is unchanged, the new equation would be y=50+0.30x
If the cost per mile changed to 50 cents, the new equation would be y=200+0.50x
WILL GIVE BRAINLIEST!!!
Question 5(Multiple Choice Worth 1 points)
(07.01 MC)
A box has 6 beads of the same size, but all are different colors. Tania draws a bead randomly from the box, notes its color, and then puts the bead back in the box. She repeats this 3 times. What is the probability that Tania would pick a yellow bead on the first draw, then a blue bead, and finally a yellow bead again?
1 over 216
1 over 36
1 over 6
1 over 2
Answer:
multiply 1/6 by 1/6 by 1/6 essentially
(1/6)^3
1/216
Step-by-step explanation:
Each specific bead color has (each time) a probability of being drawn.
Hence the final probability is 1/216
Answer:
1 over 216
Step-by-step explanation:
I completely forgot how to do this, so if you can answer and give an explanation, I’d really appreciate it!
Answer:
C
Step-by-step explanation:
Well to do this we can eliminate answers that seem unreasonable and just calculate the ones we think might be it
We know it can't be the first one or the second since its perimeter isn't 32
It could be the third one so we can check the perimeter
3+3+16+16=38
so it is the third one
Combine like terms. Which Pokemon has the correct answer?
-17x + 13x = ?
Answer:
-4x
Step-by-step explanation:
You add -17x and 13x and you get -4x.
There are 5 trucks for every 8 cars in a parking lot. If there are a total of 112 cars in the parking lot. How many trucks are there?
the
Answer:
There are 70 trucks
Step-by-step explanation:
trucks : cars:
5 8
Take 112 cars and divide by 8 cars
112/8 =14
We need to multiply each number by 14
trucks : cars:
5*14 8*14
70 112
There are 70 trucks
a line is reflected. Which of these could be the result? Pls help
Answer:
A
Step-by-step explanation:
Answer:
The answer is A.
Step-by-step explanation:
AP EX
F(x)=400-4/5x find the function and intercepts
Answer:
The x-intercept is (500, 0); the y-intercept is (0, 400).
Step-by-step explanation:
F(x)=400-4/5x is already a function: a function of x.
To find the y-intercept, set x = 0 and calculate F(0):
F(0) = 400 - 0 = 400; the y-intercept is (0, 400).
To find the x-intercept, set F(x) = y = 0 and solve for x:
0 = F(x) = 400 - (4/5)x, or (4/5)x = 400. To isolate x, multiply both
sides by (5/4): x = (5/4)(400) = 500. The x-intercept is (500, 0).
A rectangular tank with length 50 cm and width 30 cm contains 36 litres of water. Find the depth of the water.
Answer:
24cm
Step-by-step explanation:
Given data
Length=50cm
Width= 30cm
Volume = 36liters
=36000cm^3
We know that the expression for volume is
V= L*W*H
substitute
36000=50*30*H
36000= 1500*H
H= 36000/1500
H= 24cm
Hence the height is 24cm
1-point free throw 2-point field goal he made 35 shots he scored 62 points how many of each shot does he make in 1 minute write the two equations for the problem
Answer:
x + y = 35 equation 1
x + 2y = 62 equation 2
He made 8 1 point free throw
He made 27 2 point field goal
Step-by-step explanation:
let x = 1 point free throw
y = 2 point field goal
two equations can be derived from the question
x + y = 35 equation 1
x + 2y = 62 equation 2
Subtract equation 1 from 2
y = 27
Substitute for x in equation 1
x = 35 - 27 = 8
He made 8 1 point free throw
He made 27 2 point field goal
Ellen is drawing two polygons. One of the polygons has 3 more angels then the other. What shapes could she be drawing?
Answer:
Step-by-step explanation:
This is quite and easy one, but also vague at the same time.
A polygon is a shape with 5 or more sides, so, if she were drawing a pentagon, then the second polygon has to be an octagon. A pentagon has 5 sides, and an octagon has 5 + 3 sides
In the same vein, if she were drawing a hexagon, with 6 sides, the other polygon has to be monsoon, with 6 + 3 sides.
A heptagon also gives us a 7 + 3 polygon, in decagon.
All in all, it depends on the first polygon she's drawing as the question is vague in that aspect.
A line that passes through the point (-3,-6) has a slope of 4/3. What is another point on this line
Answer:
3,3
Step-by-step explanation:
help please i don’t get it
i need help with trigonometric pleasee
Answer:
Step-by-step explanation:
Cos(61) = 0.4848
This is more or less the value of cos(60) which is 1/2
You know you are in trouble when a question says approximately. How approximate is approximately. My guess, and it is a guess, is that this means the nearest degree. That would be 14 degrees. The more exact answer is 13.80 and that zero matters. It is a place holder.
Sin(67) = 0.9205 Again, how approximate is approximate? Try 0.92 as your answer.
Tan (18) = 0.3249 Try tan(18) = 0.3
Answer PLEASE zoom in the photo to see
Answer: b
Step-by-step explanation: times the # teachers by 20
WILL GIVE BRAINLIEST IF BOTH QUESTIONS ARE CORRECT!!!
Answer:
69824.21
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Step-by-step explanation:
Simplify the following expression by combining like terms: *
-2g - 8 +5g - 5
Answer:
3g -13
Step-by-step explanation:
What is the quotient of the fractions below? 3/5 divided by 2/3?
A. 2/5
B. 10/9
C. 9/10
D. 5/2
HUURRYYY!!!
Answer:
9/10
Step-by-step explanation: