Answer:
Step-by-step explanation:
surface area=area of sides +area of top and bottom
=2(4+5)×8+2×(4×5)
=2[(9×8)+20]
=2[72+20]
=2×92
=184 m²
The total surface area of the given rectangular prism is square meters.
How to calculate the surface area of a rectangular prism?The surface area of a rectangular prism can be calculated by adding the areas of all its faces.
Given that a rectangular prism with a base 4 m by 5 m and a height 8 m,
The surface area can be calculated as follows:
The surface area = area of sides + area of top and bottom
The surface area = 2(4+5)×8+2×(4×5)
The surface area = 2[(9×8)+20]
The surface area = 2[72+20]
The surface area = 2 × 92
The surface area = 184 m²
Therefore, the total surface area of the rectangular prism is 184 square meters.
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1. Determine the total cost of the automobile after down payment and finance cost. Round your answer to the nearest penny; do not use commas in your answer.
price of car: $24.800.00, percent down: 18%, finance cost: 36 months at $760.00 per month
answer: ?
Answer:
24.800.000=100000
Step-by-step explanation:
gooogglleeeee PeRiOd
The cost of the car is $31824
What are percentages?A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate the percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred. The word percent means per 100. It is represented by the symbol “%”
Given here: Price of the car =$24,800 down payment % =18 and monthly installment of $760
Thus Total cost= $24,80×0.18+36×760
= $31824
Hence, The cost of the car is $31824
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Which represents the solution(s) of the equation x2 = 289?
A) x =
17
B) x = ±
17
C) x = −
289
D) x = ±
289
Answer:
B) x = +/- 17
Step-by-step explanation:
Answer:
it D
Step-by-step explanation:
I took the usatestprep
What are the zeros of the quadratic function shown on the graph?
A) 3 and 2
B) −3 and 2
C) 3 and −2
D) −3 and −2
Two angles are vertical angles. One angle
measure is 68. What is the measure of
the other angle?
A. 22°
B. 68°
C. 90°
D. 112
In the context of geometry, vertical angles are always congruent, which means they have the same measure. If one of the vertical angles measures 68°, the measure of the other angle is also 68°. Therefore, the correct answer is B. 68°.
Explanation:The question is asking for the measure of the second angle, given that two angles are vertical angles and one of them measures 68°. In terms of geometry, vertical angles are the angles that are opposite each other when two lines intersect. An important property of vertical angles is that they are always congruent, which means they have the same measure. So, if one of the vertical angles is 68°, the other angle is also 68°. Hence, the correct answer is B. 68°.
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Since vertical angles are always congruent, the measure of the other angle is also 68°.
The question involves identifying the measure of the other angle when two angles are vertical angles. Vertical angles are angles that are opposite each other when two lines intersect. They are always equal to each other in measure.
Given that one angle measures 68°, the other angle, being a vertical angle, will also measure 68°.
Therefore, the correct answer is: B. 68°
1 1/4 pints how many ounces
Answer:
20 oz
Step-by-step explanation:
Answer:
Your answer would be 20. Just multiply the volume value by 20.
Solve the quadratic equation: 3x2 + x - 5 = 0
Hey there!
[tex]3x^2 + x -5 = 0[/tex]
This equation is in standard form, which is [tex]ax^2+bx+c=0[/tex].
We are going to solve this with the quadratic equation, so we need to find the values for a, b, and c in the given equation. We can just look at it and identify the variables.
a = 3, b = 1, c = -5
Let's plug these values into the quadratic equation:
[tex]x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]
[tex]x=\frac{-1\pm\sqrt{1^2-4(3)(-5)} }{2(3)}[/tex]
Multiply 4(3)(-5) together and multiply 2(3). Square 1.
[tex]x=\frac{-1\pm\sqrt{1+60} }{6}[/tex]
Add 1 and 60.
[tex]x=\frac{-1\pm\sqrt{61} }{6}[/tex]
This is our answer in exact form. If you need this as an approximate value, let me know and I will do that for you.
Hope this helps!
Leah and Christopher work at a dry cleaners ironing shirts. Leah can iron 25 shirts per hour, and Christopher can iron 15 shirts per hour. Leah and Christopher worked a combined 13 hours and ironed 265 shirts. Write a system of equations that could be used to determine the number of hours Leah worked and the number of hours Christopher worked. Define the variables that you use to write the system.
25x + 15y = 265
x+y = 13
Step-by-step explanation:
Step 1:
Given
Number of shirts Leah can iron in an hour = 25 shirts
Number of shirts Christopher can iron in an hour = 15 shirts
Total number of hours worked by both = 13 hours
Total number of shirts ironed by them = 265 shirts
Step 2 :
Let x represent the number of hours Leah works and y represent the number of hours Christopher works
Leah irons 25 shirts in one hour, so in x hours he would iron 25x shirts
Christopher irons 15 shirts in one hour, so in y hours he would iron 15y shirts
Given total shirts ironed by them together is 265 , we have
25x + 15y = 265
They worked a combined of 13 hours, so
x+y = 13
Step 3:
The system of equations that could be used to determine the number of hours Leah worked and the number of hours Christopher worked are ,
25x + 15y = 265
x+y = 13
Answer:
System of Equations:
x + y = 13
25x + 15y = 265
x = number of hours Leah works
y = the number of hours Christopher works
Syd has $125 in her bank account. She makes a withdrawal of $75. How much does she have now.
Answer:
$50
Step-by-step explanation:
$125 - $75 = $50!
A square has a perimeter of 32 inches what the length and width of the square
The length and width of square is 8 inches.
Step-by-step explanation:
Given,
Perimeter of square = 32 inches
We know that all sides of square are equal, therefore,
Length = width = s
Perimeter of square = 4s
[tex]32=4s\\4s=32[/tex]
Dividing both sides by 4
[tex]\frac{4s}{4}=\frac{32}{4}\\s=8[/tex]
Therefore,
The length and width of square is 8 inches.
Final answer:
The length and width of the square are each 8 inches, calculated by dividing the given perimeter of 32 inches by the number of sides of a square, which is 4.
Explanation:
To find the length and width of a square given its perimeter, we need to recall that all four sides of a square are of equal length. Since the perimeter of the square is 32 inches, we divide this number by 4 to find the length of one side. So, the length and width of the square are:
32 inches ÷ 4 = 8 inches.
Therefore, each side of the square is 8 inches long.
CAN SOMEONE PLEASE GIVE ME THE ANSWER
Here you are: B and E
A car travels 20 1/2 miles in 2/3 of an hour. What is the average speed, in miles per hour, of thr car?
Average speed of the car is 29.85 miles/hr
Step-by-step explanation:
Step 1: Calculate speed when distance = 20 1/2 = 20.5 miles and time = 2/3 hr = 0.67 hrs.Speed = Distance/Time
= 20.5/0.67
= 29.85 miles/hr
Four groups of students are doing a probability experiment with a standard number cube to see how many times they roll a 4 out of 500 trails. The theoretical probability of rolling a 4 is 16 or approximately 0.17 and one group came close to this probability with an experimental probability of 0.175. This MOST LIKELY came from which group?A)Group AB)Group BC)Group CD)Group D
Answer:
Group a, I did it
Step-by-step explanation:
The solution is Group A. As the number of trials get larger, experimental probability approaches theoretical probability. With a probability of 0.175 group A rolled a 4 14 out of 80 times.
PLEASE MARK BRAINLIEST
Answer:
The answer is Group A
Step-by-step explanation: I got it correct
Solve for b.
7b = 35
Answer:
b = 5
Step-by-step explanation:
to get b, you see that is multiplied by 7. to get rid of the 7, you have to divide both sides by 7. this is because 7/7 = 1, so you would just have b. then, 35/7 equals 5, and it is on the other side of the equal sign, so you would have b = 5.
Answer:
[tex]b = 5[/tex]
Step-by-step explanation:
[tex]7b = 35 \\ \frac{7b}{7} = \frac{35}{7} \\ b = 5[/tex]
In an apartment building, 45% of
the families have pets. If 27 families
have pets, how many families live in
the building?
Answer:
60 people
Step-by-step explanation:
27/.45=60
Assessment started: undefined. Item 1 Rosa buys a bag of cat food for $6.75 and a pack of cat treats for $1.89. How much money does Rosa spend altogether? Enter your answer in the box
Answer:
8.68?
Step-by-step explanation:
adding them together just like that she buys cat food 6.75+ 1.89 for cat treats wouldn't thw be right? unless your needing tax as well and that's typically 10cents to ever dollar you spend
Answer:
The answer is 8.64
Step-by-step explanation:
It is decimals not actually cash so there is no tax, Plus I took the K-12 test and got it right!
Mike is painting a backdrop for the school play. The rectangular backdrop is 60 inches by 48 inches. If his container of paint can cover 250 square feet, does he have enough paint to cover the backdrop?
Answer:
Yes 240sq ft is only required.
Step-by-step explanation:
60 x 48 =2880 inch square
We convert to feet 1 ft = 12 inches
2880/12 = 240sq ft
On average, Ainsley and her friends could complete 44 sit-ups in one minute. The number of sit-ups done by each of her friends is listed below. How many did Ainsley complete? *
47, 46, 38, 45, 41
Answer:
47
Step-by-step explanation:
The numbers given as 47, 46, 38, 45, 41 represent 5 people and adding Ainsley, they are 6 people.
The sum of individual sit ups by the 5 will be
47+46+38+45+41=217
Since the mean for 6 people is 44, it means their sum is 6*44=264
Getting the difference between the sum for 6 people and the sum for five people we get that
264-217=47
This is the number of sit-ups for the sixth person who is Ansley
What is the equation of m and n???
Answer:
m=47° n=52°
Step-by-step explanation:
38°,43°,m and n are all on the same line therefore they are all supplementary angles, or equal to 180°. 43° and m are also commplmentary angles or equal to 90°. This information will help with my work above.
can someone help with 9-14
Answer:
5
Step-by-step explanation:
Subtraciting
Answer:
If your asking what 9 - 14 is, than you would get a negative number.
9 - 14 = -5
Step-by-step explanation:
If you have any questions, please let me know.
What is 2 plus 2????
Answer:
4
Step-by-step explanation:
Add 2 And 2, quite Simple
2 + 2 = 4
Hope this helps >.>
Answer:
4
Step-by-step explanation:
[tex]2+2\\Check:4-2=2\\[/tex]
in a equation like 81x^3 +9x^2+3x what would I do to the exponents. And also please solve.
Answer:
3x(27x^2+3x+1)
Step-by-step explanation:
ayou take out the GCF-greatest common factor and then factor it
Answer:
(3x + 1)2 • (3x - 1)2
Step-by-step explanation:
5/4623
Please I need answers as soon
Answer: 0.00108154877
Step-by-step explanation:
The division [tex]\frac{5}{4623}[/tex] results in the simple decimal 0.001081603. This expression is already reduced to the most basic fraction form of itself.
The division is an arithmetic operation that involves splitting a quantity or number into equal parts or groups. It is the inverse operation of multiplication. In division, a number called the dividend is divided by another number called the divisor to obtain the quotient.
The dividend is the total quantity or number being divided, while the divisor is the number by which the dividend is divided. The result of the division is called the quotient, which represents the number of times the divisor can be subtracted from the dividend to achieve equal parts.
Given the expression [tex]\frac{5}{4623}[/tex] ,
[tex]\frac{5}{4623}[/tex] = 5 [tex]\div[/tex] 4623 = 0.001081603.
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Which expression represents x2−12x+36 in factored form?
The factored form of given is:
[tex]x^2 - 12x + 36 = (x-6)(x-6)[/tex]
Solution:
Given that,
[tex]x^2 - 12x + 36[/tex]
We have to find the factored form
From given,
[tex]x^2-12x+36\\\\\mathrm{Rewrite\:}36\mathrm{\:as\:}6^2\\\\x^2-12x+6^2\\\\\mathrm{Rewrite\:}12x\mathrm{\:as\:}2x\cdot \:6\\\\x^2-2x\cdot \:6+6^2\\\\\mathrm{Apply\:Perfect\:Square\:Formula}:\quad \left(a-b\right)^2=a^2-2ab+b^2\\\\a=x,\:b=6\\\\Therefore,\\\\x^2-12x+36 = \left(x-6\right)^2\\\\Which\ is\\\\x^2-12x+36 = (x - 6)(x - 6)[/tex]
Thus the given expression is factored
Final answer:
The expression x²−12x+36 is factored as (x-6)(x-6) or (x-6)².
Explanation:
The expression x²−12x+36 represents a quadratic equation. To factor this expression, we look for two numbers that both add to the middle term, -12, and multiply to the constant term, 36. The numbers that fit this requirement are -6 and -6, since (-6) + (-6) = -12 and (-6) × (-6) = 36. Therefore, the expression in factored form is (x-6)(x-6), which can also be written as (x-6)².
Which numbers are represented by points on the following number line?
Answer:
-7, -2, 1, 6
Step-by-step explanation:
The points that are on the number line are: -7, -2, 1, 6
Answer: -7, -2, 1, 6
Answer:
-7, -2, 1, 6
Step-by-step explanation:
Which statements are true when verifying the solution set of |6-x/3|>18 as x <-36 or x > 72?
Since, you have not mentioned the statements, but I am solving the expression as well as verifying which anyways may be able to make you understand the concept.
Answer:
Both [tex]x<-36\quad \mathrm{or}\quad \:x>72[/tex] are the True solutions.
Step-by-step explanation:
Considering the expression
[tex]\left|6-\frac{x}{3}\right|>18[/tex]
[tex]\mathrm{Apply\:absolute\:rule}:\quad \mathrm{If}\:|u|\:>\:a,\:a>0\:\mathrm{then}\:u\:<\:-a\:\quad \mathrm{or}\quad \:u\:>\:a[/tex]
[tex]6-\frac{x}{3}<-18\quad \mathrm{or}\quad \:6-\frac{x}{3}>18[/tex]
solving
[tex]6-\frac{x}{3}<-18[/tex]
[tex]6-\frac{x}{3}-6<-18-6[/tex]
[tex]-\frac{x}{3}<-24[/tex]
[tex]3\left(-\frac{x}{3}\right)<3\left(-24\right)[/tex]
[tex]\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}[/tex]
[tex]\left(-x\right)\left(-1\right)>\left(-72\right)\left(-1\right)[/tex]
[tex]x>72[/tex]
also solving
[tex]6-\frac{x}{3}>18[/tex]
[tex]6-\frac{x}{3}-6>18-6[/tex]
[tex]-\frac{x}{3}>12[/tex]
[tex]-x>36[/tex]
[tex]\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}[/tex]
[tex]\left(-x\right)\left(-1\right)<36\left(-1\right)[/tex]
[tex]x<-36[/tex]
[tex]\mathrm{Combine\:the\:intervals}[/tex]
[tex]x<-36\quad \mathrm{or}\quad \:x>72[/tex]
Verifying the solution:
Putting the value x < -36 in [tex]\left|6-\frac{x}{3}\right|>18[/tex]
let suppose x = -37 which is < -36
[tex]\left|6-\frac{x}{3}\right|>18[/tex]
[tex]\left|6-\frac{\left(-37\right)}{3}\right|>18[/tex]
[tex]\mathrm{Apply\:rule}\:-\left(-a\right)=a[/tex]
[tex]=\left|6+\frac{37}{3}\right|[/tex]
[tex]=\left|\frac{55}{3}\right|[/tex]
[tex]\mathrm{Apply\:absolute\:rule}:\quad \left|a\right|=a,\:a\ge 0[/tex]
[tex]\frac{55}{3}>18[/tex]
[tex]\mathrm{Therefore,\:the\:solution\:is}[/tex]
[tex]\mathrm{True}[/tex]
also putting the value x > 72
let suppose x = 73 which is > 72
[tex]|6-\frac{\left(73\right)}{3}|>\:18[/tex]
[tex]=\left|-\frac{55}{3}\right|[/tex]
[tex]\mathrm{Apply\:absolute\:rule}:\quad \left|-a\right|=a[/tex]
[tex]=\frac{55}{3}[/tex]
[tex]\frac{55}{3}>18[/tex]
[tex]\mathrm{Therefore,\:the\:solution\:is}[/tex]
[tex]\mathrm{True}[/tex]
So, both [tex]x<-36\quad \mathrm{or}\quad \:x>72[/tex] are the True solutions.
Answer: 2, 3, 4, & 6.
Step-by-step explanation: edge 2021
The coordinates of point H are (512, −1). Which statement tells how to locate point H on the coordinate plane?
Answer:
512 units towards the right of the y-axis, and 1 unit below the x-axis.
Area of circles
Susan designed a circular pool with a diameter of 25 meters. what is the area of the bottom of the pool? round to rhe nearest tenth.
Answer:
Area is 491.07m to the nearest tenth
Step-by-step explanation:
To "know your audience," you should identify what they
a. Need to know
c. Are interested in
b. Want to know
d. All of these
Please select the best answer from the choices provided
An answer is an option (D) for all of these.
"Know your audience" and Why is it important to know your audience?
Knowing your audience helps you figure out what content and messages people care about.
To "know your audience," you should identify what are ?
a. Need to know
c. Are interested in
b. Want to know
d. all of these
hence the answer is all of these.
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are 2/5 and 8/15 a ratios equivalent
Hey There!
The answer you are looking for is:
False, they are not equivalent.
Explanation / Work
First convert 2/5 into the same 'value' as 8/15
2/5 -> 4/10 -> 6/15.
As you can see, 6/15 is not the same as 8/15.
Meaning they are not equivalent.
Hope I helped! Please rate 5 stars and brainliest!
Find the exact area of the region bounded by two concentric circles with radli 10 inches and 6 Inches.
16pi
64pi
88pi
For this case we have that by definition, the area of a circle is given by:
[tex]A = \pi * r ^ 2[/tex]
Where:
r: It is the radius of the circle
Circle 1:
[tex]A_ {1} = \pi * (10) ^ 2 = 100 \pi \ in ^ 2[/tex]
Circle 2:
[tex]A_ {2} = \pi * (6)^2 = 36 \pi \ in ^ 2[/tex]
Thus, the area of the region bounded is given by:
[tex]A = 100 \pi-36 \pi = 64 \pi \ in ^ 2[/tex]
Answer:
[tex]64 \pi \ in ^ 2[/tex]
Option B