A cereal box is shaped like a rectangular prism. The box is 20 cm long by 5 cm wide by 30 cm high. What is the surface area of the cereal box?
if the sum of the two consecutive odd number is 20 find the numbers
a
Answer:
9 and 11
Step-by-step explanation:
let two numbers be X and X+2
so
x+X+2=20
solve for X
x=9
x=20
Answer:
11 + 9 = 20
Step-by-step explanation:
Consecutive odd nymbers are odd numbers that follow each other.
think which two consecutive odd number when added will give 20.
odd numbers = 1 3 5 7 9 11 13 15 17 19
9 follows 11 and when added will equal 20
Cam's tent (shown below) is a triangular prism.
2 m
2 m
1.7 m
3 m
AK
*
1 m 1 m
Find the surface area, including the floor, of his tent.
Answer:
The surface area of the tent is 21.4 m²
Step-by-step explanation:
To find the surface area of a prism you must calculate:
1. The perimeter of the base
2. The area of the base
3. The height of the prism
We have a triangular prism:
Its base is an equilateral triangle of side length 2 m and height 1.7 m
The height of the prism is 3 m
∵ The surface are of the prism is:
S.A = perimeter of the base × height + 2 × area of the base
∵ The perimeter of the equilateral triangle = 3 × length of a side
∵ The length of the side = 2 m
∴ The perimeter of the base = 3 × 2 = 6 m
∵ The area of the triangle = × base × height
∵ The length of the base of the triangle = 2 m
∵ The height of the triangle = 1.7 m
∴ The area of the base = × 2 × 1.7 = 1.7 m²
∵ S.A = perimeter of the base × height + 2 × area of the base
∵ The perimeter of the base = 6 m
∵ The area of the base = 1.7 m²
∵ The height of the prism = 3 m
∴ S.A = 6 × 3 + 2 × 1.7
∴ S.A = 18 + 3.4
∴ S.A = 21.4 m²
The surface area of the tent is 21.4 m²
If you divide any number by itself, what is the result? How can you apply this result to the expression in part D?
Answer:
1
Step-by-step explanation:
Any number divided by itself is always 1
Interval 0 to 10.5 f(x) dx = 9, interval 0 to 3.5 f(x) dx = 2, and interval 7 to 10.5 f(x) dx = 3, how do I find interval 3.5 to 7 (5f(x)-3) dx?
a. The value of the definite integral [tex]\int\limits^7_{3.5} {f(x)} \, dx = - 1[/tex]
b. The value of the definite integral [tex]\int\limits^7_{3.5} (5{f(x)} - 3)\, dx = -18.5[/tex]
To answer the question, we need to know what definite integrals are.
What are definite integrals?These are integrals which are evaluated between two values of the variable.
a. Integral of [tex]\int\limits^7_{3.5} {f(x)} \, dx[/tex][tex]\int\limits^7_{3.5} {f(x)} \, dx = - 1[/tex]
Given that [tex]\int\limits^{10.5}_0 {f(x)} \, dx = 9, \int\limits^{3.5}_0 {f(x)} \, dx = 7 and \int\limits^{10.5}_7 {f(x)} \, dx = 3[/tex]
We require [tex]\int\limits^7_{3.5} {f(x)} \, dx[/tex]
So, [tex]\int\limits^{10.5}_0 {f(x)} \, dx = \int\limits^{3.5}_0 {f(x)} \, dx + \int\limits^7_{3.5} {f(x)} \, dx + \int\limits^{10.5}_7 {f(x)} \,dx[/tex]
So, [tex]\int\limits^7_{3.5} {f(x)} \, dx = \int\limits^{10.5}_0 {f(x)} \, dx - \int\limits^{3.5}_0 {f(x)} \, dx - \int\limits^{10.5}_7 {f(x)} \,dx[/tex]
Substituting the values of the variables into the equation, we have
So, [tex]\int\limits^7_{3.5} {f(x)} \, dx = \int\limits^{10.5}_0 {f(x)} \, dx - \int\limits^{3.5}_0 {f(x)} \, dx - \int\limits^{10.5}_7 {f(x)} \,dx[/tex]
[tex]\int\limits^7_{3.5} {f(x)} \, dx = 9 - 7 - 3\\\int\limits^7_{3.5} {f(x)} \, dx = 2 - 3\\\int\limits^7_{3.5} {f(x)} \, dx = - 1[/tex]
So, [tex]\int\limits^7_{3.5} {f(x)} \, dx = - 1[/tex]
b. Integral of [tex]\int\limits^7_{3.5} (5{f(x)} - 3)\, dx[/tex][tex]\int\limits^7_{3.5} (5{f(x)} - 3)\, dx = -18.5[/tex]
[tex]\int\limits^7_{3.5} (5{f(x)} - 3)\, dx = \int\limits^7_{3.5} 5{f(x)}\, dx - \int\limits^7_{3.5} 3\, dx\\\int\limits^7_{3.5} (5{f(x)} - 3)\, dx = 5\int\limits^7_{3.5} {f(x)}\, dx - 3(7.5 - 3)\\\int\limits^7_{3.5} (5{f(x)} - 3)\, dx= 5 X (-1 ) - 3 X 4.5 \\\int\limits^7_{3.5} (5{f(x)} - 3)\, dx= -5 - 13.5\\\int\limits^7_{3.5} (5{f(x)} - 3)\, dx = -18.5[/tex]
So, [tex]\int\limits^7_{3.5} (5{f(x)} - 3)\, dx = -18.5[/tex]
Learn more about definite integrals here:
https://brainly.com/question/17074932
Ilya builds a slide that is 2.9 meters long. It is 1.5 meters above the ground. He wants to determine the distance from the bottom of the slide to the base of the ladder leading up to the slide. Which diagram represents this situation?
A triangle with side length 1.5 meters and hypotenuse 2.9 meters.
A triangle with side length 2.9 meters and hypotenuse 1.5 meters.
A triangle with side length 2.9 meters and hypotenuse 2.9 meters.
A triangle with side length 1.5 meters and hypotenuse 2.9 meters.
Answer:
the first one
Step-by-step explanation:
Answer:Option A is correct. (light blue color in the triangle choices)
Help please. It’s urgent. Right answer gets brainliest
Answer: Please check the image below.
A bag contains 7 blue cards, 4 green cards, 6 red cards, and 8 yellow cards. You randomly choose a card. a. How many possible outcomes are there? There are possible outcomes. b. In how many ways can choosing a card that is not red occur? Choosing a card that is not red can occur in ways.
Answer:
Step-by-step explanation:
a. 4 outcomes as there are 4 different colours.
b. 3 ways - getting a blue green or yellow card.
I don’t get this question
Answer:
The equation of the line is y = 4.
Step-by-step explanation:
It looks like they are asking for the equation of the bold line.
The area of a square is 100. The length of its diagonal is approximately:
Answer:
10[tex]\sqrt{2\\} \\[/tex] or 14.14 appromiximately
Step-by-step explanation:
Area of square = 100
So length on side = 10 because all sides of square equal.
Length of Diagonal = Side x [tex]\sqrt{2}[/tex]
So the length of diagonal is 14.14 approximately
Help me please math
Started with $70
Coffee at $8.74/lb
Ended with $35.04
First, subtract $35.04 from $70. Result: 34.96Second, divide $35.04 by $8.74 to see how many pounds she bought. Result: 4 poundsSusan bought 4 pounds of coffee.
:)
PLEASE ANSWER 30 POINTS!!!!!
Answer:
E. Point E
Step-by-step explanation:
First, you would move along the x-axis horizontally for 4½ units. Then, you move along the y-axis vertically for 5 units and land on point E.
I hope this helps.
Explain in a complete sentence on how you would find the area of a triangle when given the base and height
help me find the area please. the examples in delta math arent helping.
Answer:
Answer 10,006
Step-by-step explanation:
We are Multiplying.
Answer:
157.78
Step-by-step explanation:
Solve each shape individually
For the square, we are given both side lengths so multiply them to find its area
9.8 x 8.7 = 85.26m
For the triangle on the right, we know the base and height lengths, so multiply them and divide by two to find the area
9.8 x 7.2 = 70.56 / 2 = 35.28m
For the triangle on the left, we can find the base by subtracting the side length of the square from the length given on the bottom
16.3 - 8.7 = 7.6
We know the height for this triangle so multiply that by the number you just found and divide by two to find the area
9.8 x 7.6 = 74.48 / 2 = 37.24m
Finally add all of the areas found together to get the total area of the trapezoid
37.24 + 35.28 + 85.26 = 157.78
please help i have an assignment due TODAY i need to get this done
rules:
NO LINKS! im not getting myself a virus
Answer:
t = 40
Step-by-step explanation:
The sum of the two angles is 70
70 = t+30
70-30 =t+30-30
40 =t
Answer:
40
Step-by-step explanation:
t = 70 - 30
t = 40
hope it helps
Can someone please help me with this question? Thank you. No links!
Answer:
I CANT DO IT
Step-by-step explanation:
THE PICTURE IS BROKEN
f f(x) = x³ - 2, find f(3)
Answer:
Simply substitute the value of 3 given. In other words, f(3) is the function of f(x) , however, in this case, x is 3. f(3)=3(3)−4.
can i have some quick help? this is in trinomial method
#1
2x²+x-6ac=6(-2)=-12
2x²+4x-3x-62x(x+2)-3(x+2)(2x-3)(x+2)#2
10a²+3a-110a²+5a-2a-15a(a+2)-1(a+2)(5a-1)(a+2)#3
2c²+5c-12ac=-24
2c²+8c-3c-122c(c+4)-3(c+4)(2c-3)(c+4)Answer:
(a) [tex](2x-3)(x+2)[/tex]
(b) [tex](5a-1)(2a+1)[/tex]
(c) [tex](2c-3)(c+4)[/tex]
Step-by-step explanation:
To factor a quadratic in the form [tex]ax^2+bx+c[/tex]
Find 2 two numbers that multiply to ac and sum to b.Rewrite b as the sum of these 2 numbers.Factorize the first two terms and the last two terms separately, then factor out the common term.Part (a)
Given expression: [tex]2x^2+x-6[/tex]
[tex]\implies ac=2 \cdot -6=-12[/tex]
Factors of -12 that sum to 1: 4 and -3
[tex]\implies 2x^2+4x-3x-6[/tex]
Factor first two terms and last two terms separately:
[tex]\implies 2x(x+2)-3(x+2)[/tex]
Factor out common term [tex](x+2)[/tex]:
[tex]\implies (2x-3)(x+2)[/tex]
Part (b)
Given expression: [tex]10a^2+3a-1[/tex]
[tex]\implies ac=10 \cdot -1=-10[/tex]
Factors of -10 that sum to 3: 5 and -2
[tex]\implies 10a^2+5a-2a-1[/tex]
Factor first two terms and last two terms separately:
[tex]\implies 5a(2a+1)-1(2a+1)[/tex]
Factor out common term [tex](2a+1)[/tex]:
[tex]\implies (5a-1)(2a+1)[/tex]
Part (c)
Given expression: [tex]2c^2+5c-12[/tex]
[tex]\implies ac=2 \cdot -12=-24[/tex]
Factors of -24 that sum to 5: 8 and -3
[tex]\implies 2c^2+8c-3c-12[/tex]
Factor first two terms and last two terms separately:
[tex]\implies 2c(c+4)-3(c+4)[/tex]
Factor out common term [tex](c+4)[/tex]:
[tex]\implies (2c-3)(c+4)[/tex]
Gen ALL in Learning Show Summary Text to Speech (on) Previous Next > 6 Line / is shown on the coordinate grid below. y Q1 Que A A 10 9 8 HNWAUOVO 04 Qu х 05 OL 0 1 2 3 4 5 6 7 8 9 10 wful to photocopy or project without permission QOQI Which ordered pair represents a point that is located above line 1? (5.8C | Lesson 10) Q7 Q F (0,7) G (6, 2) H (1,6) DO O O GA
The ordered pairs of the points F, G and H are their locations on the coordinate plane
The point F is above the line 1
How to determine the coordinate point?
The ordered pairs of the points are given as:
F = (0,7)
G = (6, 2)
H = (1,6)
The line is not given; so, I will provide a general explanation.
Of all the three ordered pairs, the point with the greatest y-coordinate is the point F.
This means that the point F can be above the line 1, while the other points G and H are below the line.
See attachment for the illustration of the line and the ordered pairs
Read more about ordered pairs at:
https://brainly.com/question/1090891
What is the area of this 1/4 circle?
[tex] \frac{1}{4} \times \pi \times ({radius})^{2} = \\ [/tex]
[tex] \frac{1}{4} \times \pi \times {12}^{2} = \\ [/tex]
[tex] \frac{1}{4} \times \pi \times 144 = \\ [/tex]
[tex] \frac{144}{4} \pi = \\ [/tex]
[tex]36\pi[/tex]
This year, the sum of Mr Bellini’s age and his son’s age is 28 years. 4years ago, Mr Bellini was 5 times as old as his son
(A) How old is his son this year?
(B) How old is Mr Bellini this year?
Answer:
Let x = son's age
Let 38-x = Mr. Bellini's age (since the sum of their ages must be equal to 38)
Set up the equation using the second statement:
(38 - x) - 4 = 5(x - 4)
Solving,
34 - x = 5x - 20
34 + 20 = 6x
54 = 6x
x = 9 years old (son's age)
38-x = 29 years old (Bellini's age)
Help please! Thankyou
Answer:
Thus, option A is correct.
Explanation:
match the proportions
$240,000 → 60%x → 100%set up a equation:
[tex]\sf \dfrac{60}{100} = \dfrac{240,000}{x}[/tex]
[tex]\sf x = \$400,000[/tex]
is 5.029 less than 5.128
yes
Step-by-step explanation:
After the point the first number of the first number is 0 while the second one is 1
-4y + 14 = 22
-6x + 5 = -1
Answer:
x = 1, y = -2
Step-by-step explanation:
Select all the correct answers.
Which pay rates are common ways employers pay employees?
commission
daily pay
hourly pay
quarterly pay
salary
Answer:
The employers pay their employees based on hourly rates, commission and salary.
Step-by-step explanation:
The employees get their pay based on hourly rates that can range from a minimum hourly rate of say $12 per hour to any maximum figure like $40 per hour.
The final salary is based on the numbers of hours worked multiplied by the hourly rate.
Secondly, the pays are also commission based. That is your base salary plus the commission.
The salary is typical in management positions. These are not hourly based but a lump sum pay.
So, the correct answers are : commission, hourly pay and salary.
does anyone know what the answer for this is??
Answer:
Part 1) 150
Part 2) 6
Step-by-step explanation:
Part 1) All you have to do is multiply 30 by 5, since 30 is only 20% of the number and you have to get to 100%
30×5 = 150
Part 2) There are multiple ways of doing this, but the way I did it is 30 divided by 100 so you have the number of each percentage. Then you multiply that number by 20 since you are trying to get 20%
30÷100 = 0.3
0.3×20 = 6
Please give brainliest if I helped!
The number of boys in a school is 120. If the ratio of boys to girls is 2:3, find the total number of students in the school.
Pleas answer this asap!!!
Answer: B
Step-by-step explanation:B because -3 + 5 is 2 and the line goes from -3 to 2
help
10 points
brainleist
Answer:79 degrees i believe
Step-by-step explanation:
Answer:
79 degrees.
Step-by-step explanation:
There is many ways you can take this problem. The easiest is alternate exterior. Since the 79 degree angle and angle B is outside and on opposite sides, they are the same value.
3
Find the midpoint M of the line segment joining the points C = (-1, 1) and D - - (5.-7).
M - OD
M =
Answer: (2,-3)
Step-by-step explanation: