Given:
Dimensions of a rectangular prism are 6 meters by 3 meters by 12 meters.
To find:
The surface area of the prism.
Solution:
The surface area of a rectangular prism is:
[tex]A=2(lb+bh+hl)[/tex]
Where, l is length, b is breadth and h is height.
Putting [tex]l=6,b=3,h=12[/tex], we get
[tex]A=2(6\times 3+3\times 12+12\times 6)[/tex]
[tex]A=2(18+36+72)[/tex]
[tex]A=2(126)[/tex]
[tex]A=252[/tex]
Therefore, the surface area of the prism is 252 square meters.
A student has taken three math tests so far this semester. His scores for the first three tests were 71, 75, and 79. Part A: Suppose his test scores continue to improve at the same rate. What will be the grade on the sixth and (final) test?
Answer:
The grade of this sixth and (final) test would be 91.
Step-by-step explanation:
This is an arithmetic series since each time the data is increasing by the common difference of 4, and we already know a₁ which is the first term in the sequence is 71, therefore we can say:
a₁ = 71
r = 4
a₆ = the sixth term that needs to be found out
n = 6
Formula of an arithemetic series:
aₙ = a₁ + r(n - 1)
a₆ = 71 + 4(6 - 1)
a₆ = 71 + 4(5)
a₆ = 71 + 20
a₆ = 91
Hence, the grade of this sixth and (final) test would be 91.
Hope this helps!
In the figure below, which angle pair is a pair of alternate interior angles?
Helppp
(find the value of x from the given
figures.)
F
a)
120
3
solo
Answer:
sorry,
can u repost yr question with figure plz
stay safe healthy and happy.ASAP need help look at picture thx !!
Answer:
G
Step-by-step explanation:
We can rule out F and H because those have decaying equations. If the answer was to be J, the first point would have been 1000.
Therefore, the answer is G.
Find the distance d. Round your answer to the nearest tenth. Show all your work. Thanksss!
Answer: the distance for d is about 5.8 units
Step-by-step explanation:
Use the pythagorean theorem. a^2 + b^2+= c^2 . in this case, c^2 is the distance for d.
5^2 + 3^2= d^2
25+9= d^2
34= d^2
square both sides and d is approximately 5.818
A rectangular pasture has a fence around the perimeter. The length of the fence is 8x^7 and the width is 6x^4. What is the area of the pasture?
Answer:
Answer:
The area of the rectangular pasture is 768x^{11}\ unit^{2}.768x
11
unit
2
.
Step-by-step explanation:
Formula
Area of a rectangle = Length × Breadth
As given
A rectangular pasture has a fence around the perimeter. The length of the fence is 16x^{7}16x
7
and the width is 48x^{4}48x
4
.
Put all the values in the formula
Area\ of\ a\ rectangular\ pasture = 16x^{7}\times 48x^{4}Area of a rectangular pasture=16x
7
×48x
4
Now by using the exponent
x^{a}\times x^{b} = x^{a+b}x
a
×x
b
=x
a+b
Area\ of\ a\ rectangular\ pasture = 16\times 48\times (x^{7+4})Area of a rectangular pasture=16×48×(x
7+4
)
Area\ of\ a\ rectangular\ pasture = 768(x^{11})Area of a rectangular pasture=768(x
11
)
Therefore the area of the rectangular pasture is 768x^{11}\ unit^{2}.768x
11
unit
2
.
Answer:
C. 768x11
Step-by-step explanation:
4+9=−2−3
What is the solution to the equation above?
Answer:
13= -1
Step-by-step explanation:
What is the solution to the system of equations?
y = 4x – 10
y = 2
O (3, 2)
O (2, 3)
O (-2, 2)
O (2, -2)
Answer:
4x-10=2
4x=12
X=3
y=(4×3)-10
y=12-10
y=2
(3,2)
In two or more complete sentences, describe the similarities and differences of making a purchase with a debit card and/or a credit card.
Answer:
See below
Step-by-step explanation:
When you make purchases with a debit card, you are borrowing funds from your own bank account. When you make purchases with a credit card, you are borrowing funds from the bank, typically to pay it back to the bank later.
Help me please!!!!
i'll give brainliest!!
Answer:
Step-by-step explanation:
The answer is 23 i am 100% positive this answer is correct
A square has an area of 144 square feet. Select all the expressions that equal the side length of this square, in feet.
Answer:
A,D
Step-by-step explanation:
The square root of 144 is 12, which is one of the side lengths, and then you have 12, which is your side length.
Remember, all squares have equal sides so if you have your area or just one side length, you would square the side length or you would square root the area.
Answer:
Option A &D
SEE IMAGE FOR SOLUTION
Hope it helps
Have a great day
João comprou uma TV por R$ 2 400,00; um celular por R$ 1 325,00 e um tênis por R$ 130,00, qual o valor total da compra?
Answer:
R $ 3855
Step-by-step explanation:
João comprou uma TV por R $ 2400,00; um celular por R $ 1350,00 e um tênis por R $ 130,00 qual o valor total da compra?
O preço total de compra é calculado como:
Custo da TV + Custo do Celular + Custo do Tênis
R $ 2400,00 + R $ 1350,00 + R $ 130,00,
= R $ 3855
If anyone's good with interquartile range, median, upper quartile, lower quartile stuff, please help ASAP!
Answer: B, Range is 16, IQR is 7
Step-by-step explanation:
Quartiles:
Quartiles mark each 25% of a set of data:
The first quartile Q1 is the 25th percentile
The second quartile Q2 is the 50th percentile
The third quartile Q3 is the 75th percentile
The second quartile Q2 is easy to find. It is the median of any data set and it divides an ordered data set into upper and lower halves. The first quartile Q1 is the median of the lower half not including the value of Q2. The third quartile Q3 is the median of the upper half not including the value of Q2.
How to Calculate Quartiles:
Order your data set from lowest to highest values
Find the median. This is the second quartile Q2.
At Q2 split the ordered data set into two halves.
The lower quartile Q1 is the median of the lower half of the data.
The upper quartile Q3 is the median of the upper half of the data.
If the size of the data set is odd, do not include the median when finding the first and third quartiles. If the size of the data set is even, the median is the average of the middle 2 values in the data set. Add those 2 values, and then divide by 2. The median splits the data set into lower and upper halves and is the value of the second quartile Q2.
How to Find Interquartile Range
The interquartile range IQR is the range in values from the first quartile Q1 to the third quartile Q3. Find the IQR by subtracting Q1 from Q3.
IQR = Q3 - Q1
How to Find the Minimum:
The minimum is the smallest value in a sample data set.
Ordering a data set from lowest to highest value, x1 ≤ x2 ≤ x3 ≤ ... ≤ xn, the minimum is the smallest value x1. The formula for minimum is:
Min=x1=min(xi)ni=1
How to Find the Maximum:
The maximum is the largest value in a sample data set.
Ordering a data set from lowest to highest value, x1 ≤ x2 ≤ x3 ≤ ... ≤ xn, the maximum is the largest value xn.
Dale made $252 for 18 hours of work. at the same rate, how much would he make for 11 hours of work
Answer:
$154
Step-by-step explanation:
First, we need to find out how much Dale will make for 1 hour of work which means we need to divide $252 by 18 which is 14. Next, to find out how much he will make for 11 hours at work, we need to multiply 11 by 14 which is $154.
Here are the equations:
$252÷18=$14
$14×11=$154
Bobby is playing hide-and-seek with Clarence and Heather. Clarence is hiding 75 feet south of
Bobby, and Heather is hiding due east of Clarence. If Bobby is 85 feet from Heather, how far
apart are Clarence and Heather?
Sage and Tom started the month with the same number of talk minutes on their cell phones. Sage talked for 7 minutes with her dad. Tom talked for 4 minutes with a friend and 3 more minutes with his mom. Do Sage and Tom have the same number of talk minutes left on their cell phone plans?
Complete the model to represent Sage’s minutes.
Enter the correct answers in the boxes.
Answer
omgggggggg same i dont know how to do it either
Step-by-step explanation:
Answer:
there is 11 min all to together for sage and tom so they did not have the same cell phone line
Step-by-step explanation:
its easy
PLS HELP find the lead coefficient
Answer:
it is 7
Step-by-step explanation:
Mary invested $15,000 in an account that paid 5% simple interest annually. She will not
make any additional deposits or withdrawals. How much interest will Mary earn on her
investment at the end of 3 years?
$2,250.00
F
$17,364.38
H
$50,625.00
J
$225,000.00
Answer:
$2,250
Step-by-step explanation:
5% of 15,000 is 750. If we multiply 750 by the number of terms, 3, we get an answer of $2,250.
Answer:
$2,250
Step-by-step explanation:
Use the simple interest formula i = prt. Here the principal, p, is $15,000 and the interest rate, r, is 0.05. Then:
i = ($15,000)(0.05)(3) = $2,250
A female sea turtle buries 200 eggs in the sand. After the baby turtles hatch they hurry to make it to the relative safety of the ocean. Of the 176 babies that hatched, 124 were eaten by birds, 37 were eaten by other predators, and 3 ran the wrong direction. Suppose that just after the eggs were laid that you marked one with an X. What is the probability that your egg hatched and the baby turtle made it to the ocean?
Answer: 12%
explanation: i subtracted the ones that had been eaten, and the ones that ran off and solved for x.
The radius of a circle is 7.2 cm. Find the circumference to the nearest tenth
Answer:
45.24 cm
Step-by-step explanation:
C = pi(d)
Since we have our radius, we can find our diameter. To get the diameter, we multiply the radius by 2. In this case; 7.2 cm.
7.2(2) = 14.4
Then, we multiply the diameter by pi.
(pi)(14.4) = 45.238
45.238 ---> 45.24
What is the equation of the graph in slope intercept form
Answer:
y=1/4x-4
Step-by-step explanation:
slope is 1/4 and the y intercept is -4
Find the area of a figure
Answer:
4.62 sq ft
Step-by-step explanation:
Area of rectangle = 2.5 x 1 = 2.5
To get area of triangle we must use the altitude theorem to find the height:
let 'x' = altitude (or height)
x/1.5 = 2/x
cross-multiply to get:
x² = 3
x = [tex]\sqrt{3}[/tex]
Area of triangle = 1/2(2.5)([tex]\sqrt{3}[/tex])
= 1.25[tex]\sqrt{3}[/tex] which is approx 2.12
Total area = 2.5 + 2.12 = 4.62
If (a−8)/3=(a−3)/2 , then a = ?
Answer:
[tex] \frac{(a - 8)}{3} = \frac{(a - 3)}{2} \\ 2(a - 8) = 3(a - 3) \\ 2a - 16 = 3a - 9 \\ 3a - 2a = - 7 \\ a = - 7[/tex]
Answer:
The value of a is -7. You can see the solution in the picture.
y is directly proportional to the square root of x
if y = 60 when x = 36
find x when y = 80
Answer:
x = 64
Step-by-step explanation:
Given y is directly proportional to [tex]\sqrt{x}[/tex] then the equation relating them is
y = k[tex]\sqrt{x}[/tex] ← k is the constant of proportion
To find k use the condition y = 60 when x = 36, then
60 = k [tex]\sqrt{36}[/tex] = 6k ( divide both sides by 6 )
10 = k
y = 10[tex]\sqrt{x}[/tex] ← equation of proportion
When y = 80 , then
80 = 10[tex]\sqrt{x}[/tex] ( divide both sides by 10 )
8 = [tex]\sqrt{x}[/tex] ( square both sides )
64 = x
find the value of x and y pls help
Answer:
x = 50° and y = 80°
Step-by-step explanation:
x + 130° = 180° { being linear pair }
x = 180° - 130°
x = 50°
And we can see in the triangle two sides are equal so it is an isosceles triangle so the base angles are also equal.
Then
y + 50° + 50° = 180° { being sum of angles of triangle }
y + 100° = 180°
y = 180° - 100°
y = 80°
Hope it will help :)❤
Estimate: 55 +8
50
60
7
8
Answer:
60But the actual solution is 63.
Step-by-step explanation:
55+8=63
63
3<5 so you don't round up, you round down.
Rounding down... 60
60
But the actual solution is 63.
Please someone help me I don’t understand please please help
Answer:
604
Step-by-step explanation:
Answer:
604
Step-by-step explanation:
6x10^2+4
6x100+4
600+4
= 604
The diagram shows a triangle.
What is the value of v?
Answer:
30
Step-by-step explanation:
What is the answer for 2v-6/3-v ?
Step by step explanation:
2v−6
3-v
Factor the expressions that are not already factored.
2(v−3)
−v+3
Extract the negative sign in −3+v.
−2(−v+3)
−v+3
Cancel out −v+3 in both numerator and denominator.
−2
Answer:
-2
Can someone solve and explain this this is due by 1:00 pm est so no rush
Answer:
y = -x + 4
y = 3/4x - 3
Step-by-step explanation:
3x - 4y = 12
-4y = -3x + 12
y = 3/4x - 3
One with arrow on the left is y = -x + 4, the other is y = 3/4x - 3