Answers
Answer:
Surface Area: [tex]18ft^3[/tex]
Volume: [tex]44ft^2[/tex]
Step-by-step explanation:
Volume Formula --> base * height
[tex](4.5 * 2) * 2 = 9*2=18ft^3[/tex]
Surface Area Formula --> 2(width*length + height*length + height*width)
[tex]2((2*4.5) + (2*4.5)+(2*2)) = 2(9+9+4) = 2(22) = 44ft^2[/tex]
Answer:
Volume = 18 ft³
Surface area = 44 ft²
Step-by-step explanation:
Volume
Volume of a cuboid = base length × base width × height
Given:
base length = 4.5 ftbase width = 2 ftheight = 2 ftSubstitute given values into formula:
⇒ Volume = 4.5 × 2 × 2 = 18 ft³
Surface Area
Surface area = 2(base width × height) + 2(base length × height) + 2(base length × base width)
=2(2 × 2) + 2(4.5 × 2) + 2(4.5 × 2)
= 8 + 18 + 18
= 44 ft²
Related Questions
the perimeter of an isosceles triangle is 45 inches. 2 sides of the triangle are congruent and the third side is twice as long as the sum of the congruent sides. what is the length of the third side of the triangle in inches
Answers
Answer:
did this bring a pic because i might need it to answer the question since its not answerable if theres no more details
Step-by-step explanation:
Through: (-4,-2); slope = 0
Answers
Answer:
y = -2
Step-by-step explanation:
y - y₁ = m (x - x₁)
y + 2 = 0 (x + 4)
y + 2 = 0
Final simplified equation: y = -2
Hope this helps!
What is 2/5÷2?
A.) 1/5
B.) 2/5
C.) 4/5
D.) 5
Answers
Answer:
A. 1/5
Step-by-step explanation:
[tex]\frac{2}{5}[/tex] ÷ [tex]\frac{2}{1}[/tex] = [tex]\frac{2}{5}[/tex] times [tex]\frac{1}{2}[/tex]
= [tex]\frac{2}{10}[/tex]
= [tex]\frac{1}{5}[/tex]
hope this helps!
Answer: A.) 1/5
Step-by-step explanation:
When dividing a fraction with a whole number we have to turn that whole number into a fraction as well
[tex]\frac{2}{5}[/tex] ÷ [tex]\frac{2}{1}[/tex]
So now we use the dividing fraction formula: [tex]\frac{a}{b}[/tex] ÷ [tex]\frac{c}{d}[/tex] = [tex]\frac{a*d}{b*c}[/tex]
So we put the numbers in their places: [tex]\frac{2}{5}[/tex] ÷ [tex]\frac{2}{1}[/tex] = [tex]\frac{2*1}{5*2}[/tex] = [tex]\frac{2}{10}[/tex]
However [tex]\frac{2}{10}[/tex] simplified is [tex]\frac{1}{5}[/tex]
Drew has a coin: one side shows heads and the other side shows tails. he also has a six-sided number cube with a number, 1 through 6, on each side. he flips the coin, rolls the number cube, and records his results. what is the probability, written as a fraction, that the coin shows tails and he rolls a 5?
Answers
Using it's concept, it is found that the probability that the coin shows tails and he rolls a 5 is of [tex]\frac{1}{12}[/tex].
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, the coin has two outcomes, one of which is tails, while the number cube has six outcomes, one of which is five. Since the coin and the number cube are independent, we just multiply the probabilities, hence:
[tex]p = \frac{1}{2} \times \frac{1}{6} = \frac{1}{12}[/tex]
The probability that the coin shows tails and he rolls a 5 is of [tex]\frac{1}{12}[/tex].
More can be learned about probabilities at https://brainly.com/question/14398287
What is the area of this figure?
22 mi
8 mi
10 mi
5 mi
9 mi
11 mi
4 mi
6 mi
Answers
Answer:
318 mi²
Explanation:
area of triangle = 1/2 * base * height = 1/2 * 22 * (10+6+3) = 209 mi²area of right bottom rectangle = Length * Width = 11 * 5 = 55 mi²bottom upright rectangle = Length * Width = 9 * 6 = 54 mi²total area = 209 mi² + 55 mi² + 54 mi² = 318 mi²Area of Vertical rectangle:-
9(6)54mi²Area of horizontal rectangle
11(5)55mi²Area of triangle
1/2(22)(10+6+3)11(19)209mi²Total:-
209+55+54318mi²Help me pleaseeeeeeeeeeeeeeee
Answers
Answer:
x=1
Step-by-step explanation:
since one y is positive and the other is negative, they cancel eachother out, making 3x=3. 3/3=1
If f(x) = (x³ + 25), find the inverse of f.
Answers
Answer:
y = ∛x - 25
Step-by-step explanation:
To find the inverse function, swap x and y , and solve the resulting equation for x.
If the initial function is not one-to-one, than there will be more than one inverse.
So, swap the variables: y = x³ + 25 becomes x = y³ + 25
Now solve the equation, x = y³ + 25 for y.
y = ∛x - 25
what is the approximate diameter of a sphere with a volume of 268cm^3
A. 12cm
B. 8cm
C. 16cm
D. 4cm
Answers
Answer:
B it is the right answer
Step-by-step explanation:
If log, 2 = 0.69, then log, 32 =
Answers
Answer:
Step-by-step explanation:
log 2 = 0.69
Prime factorise 32.
32 = 2 * 2 * 2 * 2 *2 = 2⁵
[tex]\boxed{log \ a^{m}=m * log \ a}[/tex]
[tex]log \ 32 = log \ 2^{5}[/tex]
[tex]= 5*log \ 2\\\\= 5*0.69\\\\= 3.45[/tex]
divide and simplify. − 8/ 15 ÷ − 3/ 5
Answers
-3 / 5 = -0.6
-0.53333 / -0.6 = 0.88888333
Prove algebraically that the difference between the squares of any two consecutive
odd numbers is always a multiple of 8
Answers
Answer:
See below ↓
Step-by-step explanation:
Let the odd integers be :
2x + 12x + 3Solving
(2x + 3)² - (2x + 1)²4x² + 12x + 9 - 4x² - 4x - 18x + 8 = 8(x + 1)On substituting any value for 'x', the value will be a multiple of x.Examples
8(1) + 8 = 16 = 8 x 28(2) + 8 = 24 = 8 x 38(3) + 8 = 32 = 8 x 4Answer:
Let one odd number be (2n + 1)
Therefore, its consecutive odd number is (2n + 3)
Difference between the two squares of these numbers:
[tex]\begin{aligned}\sf (2n+3)^2-(2n+1)^2 & = \sf (4n^2+12n+9)-(4n^2+4n+1)\\ & = \sf4n^2+12n+9-4n^2-4n-1\\ & = \sf 8n+8\\ & = \sf8(n+1)\end{aligned}[/tex]
Thus proving that the difference between the squares of any two consecutive odd numbers is always a multiple of 8.
1/2 - 1/12 whats the answer
Answers
Answer:
To subtract or add fractions, we need to find a common denominator.
1/2 can turn into 6/12
so now we have
6/12 - 1/12 =
5/12
Since we cant simplify it, it stays as 5/12
Answer:
[tex]I~am~beinggreat78~and~i'll~help~you![/tex]
The answer is [tex]\frac{5}{12}[/tex], because of the math shown in this image.
In shortest words, the solution to this problem is [tex]\frac{5}{12}[/tex] because 1/2 - 1/12 is [tex]\frac{5}{12}[/tex], which is the simplified, yet unsimplified form. If the picture is blurry, please click the button in the center of the image to zoom in.
Identifying Characteristics of Circles from Equations
The equation for a circle is (x + 2)2 + (y – 5)2 = 9.
What is the radius of the circle?
✔ 3
What is the x-coordinate of the circle’s center?
✔ -2
What is the y-coordinate of the circle’s center?
✔ 5
The answers are correct!
Answers
Answer:
Step-by-step explanation:
What are the y-intercept and the horizontal asymptote of g(x) = 2x + 7?
(0, 7) ; y = 2
(0, 9) ; y = 2
(0, 2) ; y = 7
(0, 8) ; y = 7
Answers
The required y-intercept is (0, 7), and the horizontal asymptote y = 2. Option A is correct.
It is to detrmine the y-intercept and the horizontal asymptote of g(x) = 2x + 7.
A line can be defined as it is the shortest distance between two points on the graph called a line. Equation of the y = mx + c, where c is the y-intercept and m is the slope of the line.
The y-intercept of g(x) = 2x + 7 is the y-coordinate of a point where a line, curve, or surface intersects the y-axis i.e. (0, 7).
An asymptote of g(x) = 2x + 7 is a line that a graph approaches without touching i.e. y = 2.
Thus, The required y-intercept is (0, 7), and the horizontal asymptote y = 2. Option A is correct.
Learn more about lines here:
brainly.com/question/2696693
#SPJ2
What is 7/8 - 1/4 in simplest form?
Answers
Answer: 5/8
Step-by-step explanation:
You could convert 1/4 to 2/8 because the numbers you're subtracting have a common factor of 2. After subtracting 2/8 from 7/8, you're left with 5/8.
Answer:
7/8 - 1/4 = 5/8
Step-by-step explanation:
The equation is 7/8 - 1/4 = ?
So you need to have a common denominator for both fractions in order to subtract the two.
In order to make 7/8 and 1/4 have a common denominator, multiply 1/4 by 2. Then it becomes 2/8.
Now you can subtract the two fractions because they both have a common denominator.
7/8 - 2/8 = 5/8
You are shopping at a dvd store and have $49.50 to spend each dvd cost $4.25 estimate how many dvds you buy.
Answers
Answer:
You can get 11 dvds
Find the value of x.*
20
48
36
60
Answers
Answer:
B. 48Step-by-step explanation:
Use the ratio of corresponding sides of similar triangles
x/64 = (100 - 64)/xx/64 = 36/xx² = 64*36x² = 8²*6²x = 8*6x = 48Correct choice is B
Rest Hypotenuse part of triangle=100-64=36
Now
x²=64(36)x²=8(8)(6)(6)x²=8²6²x=8(6)x=48
A bag contains 5 red marbles, 3 blue marbles, 7 yellow marbles, and 2 green marbles. Which ratio can be used to compare the red marbles to the blue marbles?
A) 3/5
B) 3/8
C) 5/3
D) 5/8
Answers
Total red = 5
Total blue = 3
Ratio of red to blue = 5/3
answer: c. 5/3
If a polynomial has a remainder of zero when dividing by x + 3, then x = -3 is a solution of that polynomial.
true or false?
Answers
Answer:
True
this is true there is also another way of thinking of it
Imagine subtracting 3 from both sides so then it will be X= -3
The tree diagram represents an experiment consisting Of two trials. . 3,. 7,. 2,. 8 p(D)
Please help
Answers
Answer:
0.65
.6 x .5 + .7 x .5 = 0.65
Step-by-step explanation:
Please solve for X and Y
Answers
CCan you make it visible to see, please!CCan
Three times a number increased by 9
is equal to twice the number decreased
by 4. Find the number
Answers
Let the number be "x"
According To Question[tex]3x + 9 = 2x - 4[/tex]
Solving It[tex]3x + 9= 2x - 4 \\ \\ \implies 3x - 2x = - 4 - 9 \\ \\ \implies x = - 13[/tex]
[tex] \therefore \text{the required number is = - 13}[/tex]
Hope this helpsAnswer:
- 35
Step-by-step explanation:
let the number be n then increased by 9 is n + 9 and decreased by 4 is n - 4 , so
3(n + 9) = 2(n - 4) ← distribute parenthesis on both sides
3n + 27 = 2n - 8 ( subtract 2n from both sides )
n + 27 = - 8 ( subtract 27 from both sides )
n = - 35
that is the number is - 35
alice has take a job with a starting teacher salary of $50,180 an annual raises of $1750 what will be her salary during her fifth year of the job
Answers
Answer:
$58,930
Step-by-step explanation:
y=mx+b
starting value (b) = $50,180
rate of increase (m) = 1750
number of years (x) = 5
y= (1750)(5) + 50180
y= 8750 + 50180
y= 58930
help it is for calculus
Answers
Answer:
I think 2(x^2−y^2)=3x
Answer:
Its 2(x^2-y^2)=3x
Rewrite each expression as a difference. a+5 a+b
Answers
Answer:
a - 5 and a - b is the required experssion
Answer:
a-(-5);
a+5
a-(-b);
a+b
triangle ABC is similar to triangle DEF. The ratio of the lengths of the corresponding sides of triangle ABC to triangle DEF is 2:3 what is the measure of DF
Answers
The ratio of the lengths of the corresponding sides of triangle ABC to triangle DEF is 2:3, and since side AC is the corresponding side of side DF -> Side DF = 3/2 side AC
-> Side DF = 2.5 x 3/2 = 3.75 cm.
Wes wants to buy a new truck. There are 3 models to choose from, each has 4 choices of engine, 3 choices of transmission, 8 color choices, 3 interior color choices, and 5 different options packages to choose from. How many different trucks can be built with all of these choices? (Wes can only pick one option package.)
Answers
Answer:
1440 different trucks
Step-by-step explanation:
Multiply all of the choices for each part:
3 possible bodies * 4 possible engines * 3 possible transmission types * 8 possible colors * 5 possible options packages
And, you get:
3 * 4 * 3 * 8 * 5
= 1440 different trucks
Answer:
4320 trucks
Step-by-step explanation:
The circumference of a circle is 94.2 kilometers. What is the circle's diameter?
Answers
Answer:
The diameter would be 29.98 kilometers.
Step-by-step explanation:
We know that our circumference is pi * diameter, so we just have to divide 94.2 by pi to solve.
Answer:
30 km
Step-by-step explanation:
We can use the below formula to find the diameter of a circle.
C = π × d
Here,
C ⇒ circumference ⇒ 94.2 km
d ⇒ diameter
To find the diameter make d as the subject in the above formula.
d = C / π
d = 94.2 / 3.14
d = 30 km
Solve for the missing angle labeled "?".
9) M
I
115°
S
U
P
47°
R
Q
A) 47°
B)65°
C) 68°
D)133°
Answers
Answer:
D) 133 degrees.
Step-by-step explanation:
attached as image.
Find the area of a circle with a radius of 21 inches. Use 22/7
for pi.
Answers
Answer:
Area of circle=πr^2
Step-by-step explanation:
Area of circle=πr^2
=22/7*21^2
=22/7*441
=9702/7
=1386 sq.inch