Find the area of the base of a box of height 4cm and lateral surface area 120cm.sq if its length is twice its breadth.
Answer:
The area of the base of a box is 1800 cm².
Step-by-step explanation:
We have:
H: is the height = 4 cm
[tex]A_{l}[/tex]: is the lateral surface area = 120 cm
L = 2B
We can find the breadth of the base by using the lateral surface area and the height:
[tex] A_{l} = H*B [/tex]
[tex] B = \frac{A}{H} = \frac{120 cm}{4 cm} = 30 cm [/tex]
Now, if the length is twice its breadth we have:
[tex] L = 2B = 2*30 cm = 60 cm [/tex]
Hence, the area of the base is:
[tex] A_{b} = B*L = 60 cm*30 cm = 1800 cm^{2} [/tex]
Therefore, the area of the base of a box is 1800 cm².
I hope it helps you!
I don’t know if it’s decreases or increases
Answer:
I'm pretty sure decreases since the number is negative
hi please help me with this i’ll give brainliest if you give a correct and show your work!
You have a sack of 90 balls. 35 blue, 30 green and 25 pink. If you randomly pull one ball out of the bag, what is the probability of pulling a green ball?
Answer:
P(Green ball) = 1/3
Step-by-step explanation:
You have a sack of 90 balls. 35 blue, 30 green and 25 pink. If you randomly pull one ball out of the bag, what is the probability of pulling a green ball?
The Probability of pulling a green ball =
P(Green ball) =
Number of green balls/ Total number of balls
= 30 green balls/90 balls
P(Green ball) = 1/3
Sally's dance school had 60 students last year. This year there are only 48 students enrolled. By
what percent did the enrollment decrease? Show all of your work to justify your answer.
Answer:
20%
Step-by-step explanation:
60-48=12
changed ÷ original x 100%
= 12 ÷ 60 x 100%
= 20%
can someone help me solve x + 5 = 12
Step-by-step explanation:
Given.
x + 5 = 12
x = 12 - 5
x = 7
Hope it will help ☜☆☞
please help me ( show ur work it’s multiple choice ):)
describe and correct the error in solving the proportion?
Answer: Choice B
They did not perform the cross multiplication properly
The correct step should be m*24 = 8*15 which solves to m = 5
========================================================
Explanation:
In general, if we had the equation A/B = C/D, then it cross multiplies to A*D = B*C. We refer to this as cross multiplication because of the shape made when we connect the terms (to figure out what multiplies with what). The diagram below shows what I mean.
So that's why m/8 = 15/24 cross multiplies to m*24 = 8*15
Simplifying things a bit leads to 24m = 120. Then we divide both sides by 24 to fully isolate m and we get m = 120/24 = 5. Therefore, m = 5.
A middle school principal wants to change the lunch menu at the school. The principal surveys
the students to determine how the students would feel about the changes. Which survey
method will best produce the representative sample?
Multiply.
Your answer should be a monomial in standard form.
(4z^3)(-3z^3)
The answer you are looking for is -12z^6. To find this answer, you first multiply the two values (4 and -3).
4 × -3 = -12
Next, you multiply the variables and exponents. When multiplying with exponents, you simply just add the exponents together. For this instance, simple just add z3 and z3 to get z^6.
Thus meaning your final answer as a monomial is -12z^6. Here's an image to show how i solved the problem. I hope this helps!!
Find the missing value. Hint: Use the number line to find the missing value. -7= -(-2)
Answer:
-9
Step-by-step explanation: I know this problem since I use khan academy too and I got the answer wrong and it helped by saying it was -9.
DIRECTIONS:
Using the Four Principal Rays explained in page 9, analyze and locate the image formed in curved mirrors. The first one is done for you (3 points each). (construct ray diagrams to determine the, Location, Orientation, Size, and Type of images formed by curved mirror)
Steps for drawing the image of light rays includes; rays through the focus
are reflected parallel and rays through the center passes straight through.
Correct Response;Please find attached the required drawing showing the path of rays from the object to the image;Method used in the drawing of light rays;Reflection of light from concave mirrors.
B. The object at the center of curvature, C;
The image at C
Size of the image = Size of the object
Image is inverted
Image is real
C Object between C and F
Image further than CImage larger than objectImage is invertedImage is realD. Object at F;
Image at infinity
E. Object between F and the vertex
Image is virtual
Image is upright
Image is larger than object
F Object further from C (convex mirror)
Image is virtual and smaller than object
G. Object between the focus, f and the vertex
Image is virtual and smaller than the object
Learn more about the the image formed by concave and convex mirrors here:
https://brainly.com/question/9895618
how to find the angle?
please help I'll give BRAINIEST
** if there is two responses **
Answer:
m∠CDE = 37°
Step-by-step explanation:
Since, AB║CD and AC is a transversal line.
∠EAB ≅ ∠ECD [Alternate interior angles]
m∠EAB = m∠ECD = 25°
m∠CED + m∠AED = 180° [Linear pair of angles]
m∠CED + 62° = 180°
m∠CED = 180° - 62°
= 118°
By triangle sum theorem In ΔCDE,
m∠CED + m∠CDE + m∠ECD = 180°
118° + m∠CDE + 25° = 180°
m∠CDE + 143° = 180°
m∠CDE = 37°
A match box dimension is 4cm×2.5cm×1.5cm.What will be volume of a packet containing such 6 match boxes?How many such packets can be placed in a cardboard box whose size is 60cm×30cm×24cm?
help a dude out lol this is overdue
Answer:
5
Step-by-step explanation:
The right angle is 5 so that means the x is 5
Answer:
5
Step-by-step explanation:
9+6=15, 3*3=9 3*5=15 so the answer for x is 5
525=w(w+20) what is the length and width using this formula
Answer:
525/22
Step-by-step explanation:
if i have 7 quarters, 13 nickles, 23 pennies, 6 dimes and two dollar bills, how much money do i have
Answer:
$5.23
Step-by-step explanation:
(7x.25)+13(.05)+.23+6(.10)+2.00=1.75+.65+.23+.60+2.00=$5.23
Answer:
$5.23
Step-by-step explanation:
7 quarters: $1.75
13 nickels: $0.65
23 pennies: $0.23
6 dimes: $0.60
2 dollar bills: $2
Total: $5.23
Can someone please help with these two questions . Thank you
Answer:
D for the first question
A for the second one
Step-by-step explanation:
The multiples are 27, 81, 243
The factors are 1, 9, 27
The population of a certain animal species decreases at a rate of 2.5%. If there are 400 of this animal in the wild, using an exponential function, predict approximately how many there will be in 4 years. Round to the nearest whole number.
Answer:
20 years
Step-by-step explanations:
You just do the work and figure it out and it gives you the answer of 20 years
Inscribed angles!!
Find A, B, and C
sum of all exterior angles equals to 360
sum of interior angles equal to 180
divide 360 by 122 to find b the rest you'll get it
as you go further in the question
which quantity is proportional to 6/4?
check all that are true
36/24
2/3
72/36
3/2
91/48
In a survey of U.S. Adults, 16% say they have had someone take over their email accounts without their permission. You randomly select 250 U.S. Adults and asked them whether they have had someone take over their email accounts without their permission. Find the probability that the number of U.S. Adults who say they have had someone take over their email accounts without their permission is : a. At most 40 b. Less than 45 c. Exactly 48
Answer:
a. At most 40
Step-by-step explanation:
If we take the survey that was done as a basis then we would use the 16% that was obtained as the number of overall US adults that have had their accounts used without their permission. Assuming that the 250 selected individuals were selected at random and without bias then those 250 would also be representative of the entire population. Therefore, we would simply need to multiply the number of selected individuals by the percentage in decimal form.
16 / 100 = 0.16
250 * 0.16 = 40
Finally, we can see that roughly 40 individuals would have had their email used without permission.
The original price of a cell phone was $250. And its price was marked down to $218 during the holiday. What was the percentage of discount for the cell phone during the holiday? %
Answer:
I would say almost 15% the price dropped $32
PLEASE HELP
Sit-up
Push-up
Plank
Arm
circles
V-stretch
which event has a theoretical probability
of?
A. spinner landing on either sit-up
or V-stretch
B. spinner landing on push-up
c. spinner landing on either sit-up.
plank, or arm circles
D. spinner not landing on sit-up
Answer:
A
Step-by-step explanation:
Answer A has two of the five possibilities, and each section is equal so there is an equal probability for each. Add up the two possibilities for 2/5.
Which of the following is an example of natural selection?
A) Hummingbirds drinking nectar from a plant.
B) Whales and dolphins swimming to the water’s surface to breathe.
C) Sloths making their homes high in trees to protect themselves from predators.
D) Brown-colored lizards surviving and reproducing because they are better able to camouflage themselves from predators.
Answer:
A) Hummingbirds drinking nectar from a plant.
Step-by-step explanation:
Here are some examples of natural selection: In a habitat there are red bugs and green bugs. The birds prefer the taste of the red bugs, so soon there are many green bugs and few red bugs. The green bugs reproduce and make more green bugs and eventually there are no more red bugs.
Plz help me get the right answer
Answer:
Sum is the addition -8x^2+3-9x^2+3x-3 Combine like terms -17x^2+3xA sales woman earns 40% commission on all merchandise that she sells last month she sold $300 worth of merchandise how much commission in dollars did she earn last month
Answer:
120$
Step-by-step explanation:
Alaina needs to sell 225 boxes in order to be the top seller. She sells thin mints and samoas to all of her customers for a total of $628.00 in sales. The thin mints sell for $3.00 each and the samoas sell for $2.50 each. Which system of equations below could be used to find how many boxes of thin mints and samoas were sold?
Answer:
94 boxes of samoas
131 boxes of thin mints
Step-by-step explanation:
m=mints
s=samoas
s+m=225 m=225-s
s(2.5)+m(3)=628
2.5s+3m=628
substitute for m
2.5s+3(225-s)=628
2.5s+675-3s=628
reduce
-0.5s=-47
s=94
m=131
PLEASEEE i REALLY need help!! This is due tonight!!
1. Think of two things that you can measure. Give one that requires high precision, or a low level of uncertainty. Give another that can have lower precision, or a higher level of uncertainty.
2. Explain why you made your choices. Why does one measurement need to be more precise than the other?
Problem 1
Two things you could measure is a person's height and the speed needed to reach the planet Mars. The person's height can be measured with a low level of precision, which means we don't need to be that accurate. We could say "that person is about 6 feet tall" and whoever is listening would get a sense of their height. In contrast, we need high precision for a rocket speed to Mars because getting this figure wrong would likely cause disaster down the road. Very complicated mathematics is essential to make sure we hit the target required in space.
===============================================
Problem 2
As mentioned, we need high precision when it comes to anything dealing with space travel. If the calculations are wrong, then the spacecraft could crash somehow. As one example where things went wrong, engineers used the wrong values and the Mars lander ended up crashing into the planet rather than landing safely. The high cost of such space exploration missions means that it's very crucial to get precise values as much as possible, to as accurate as possible. Things like discussing a person's height isn't that essential to be very precise as we can just relay estimates to whoever we're talking to. This informal setting doesn't demand as much accuracy compared to something like a rocket launch.
Kelly tiene algo de dinero ahorrado. Después de cortar el césped el sábado, agrega $ 40 a sus ahorros. Escribe una expresión para representar cuánto dinero ha ahorrado Kelly
Answer:
x + 40
Step-by-step explanation:
Con la informacion de la pregunta vemos que Kelly tiene una cierta cantidad de plata ahorrada. Este ahorro se puede demonstrar con la variable x. Despues de completar su trabajo le pagaron $40 y los agrego a sus ahorros. Entonces simplemente tenemos que sumar los $40 a los ahorros que ya tenia (x). Esto nos dara la cantidad nueva de sus ahorros
x + 40