Answers
Answer:
The first step that we are going to do is to solve the area of the top rectangle. We are given a width of 15 cm and a length of 25 cm so we can just multiply them against each other to get the area.
[tex]Area = l * w[/tex]
[tex]Area = 25\ cm * 15\ cm[/tex]
[tex]Area = 375\ cm^2[/tex]
The second side that we are going to solve for is the bottom rectangle. We are given a width of 12 cm and a length of 25 cm so lets just multiply them against each other to get the area.
[tex]Area = l * w[/tex]
[tex]Area = 25\ cm * 12\ cm[/tex]
[tex]Area = 300\ cm^2[/tex]
The next area that we are going to determine is the back rectangle which has a width of 9 cm and a length of 25 cm so lets just multiply them against each other to get the area.
[tex]Area = l * w[/tex]
[tex]Area = 25\ cm * 9\ cm[/tex]
[tex]Area = 225\ cm^2[/tex]
The final area that we have to determine are the side triangles. After determining the area of one triangle we will have to multiply it by 2 to get the area for both of the triangles. We are given a base of 12 cm and a height of 9 cm so lets just use the formula to find the area.
[tex]Area = \frac{1}{2}* b*h[/tex]
[tex]Area = \frac{1}{2}* 12\ cm*9\ cm[/tex]
[tex]Area = 54\ cm^2[/tex]
Multiply it by two to get the area for both of the triangles.
[tex]Area = 54\ cm^2 * 2[/tex]
[tex]Area = 108\ cm^2[/tex]
Finally, we are onto the last part which is to add up all of the areas and get the surface area after we combine everything.
[tex]Area_{total}=375\ cm^2 + 300\ cm^2 + 225\ cm^2 + 108\ cm^2[/tex]
[tex]Area_{total}=1008\ cm^2[/tex]
Therefore, our final answer is option B, 1008 [tex]cm^2[/tex]
Hope this helps!
Related Questions
In City Park, the playground takes up 3/8 of the area. The soccer field area is 1/3 of the playground area. The product 13×38 can be used to find the area of the soccer field. Which is the area of the soccer field?
Answers
The area of the city park will be equal to 3952 square units.
What is the area?The Area is defined as the space occupied by the two-dimensional geometry in a plane.
We have the following information:-
In City Park, the playground takes up 3/8 of the area:-
[tex]\rm PGA=\dfrac{3}{8}\times CP[/tex]
The soccer field area is 1/3 of the playground area.
[tex]\rm SF=\dfrac{1}{3}\times PGA[/tex]
The product 13×38 can be used to find the area of the soccer field
SF= 13 x 38=494 square units
Noe the PGA will be:-
PGA =3 x SF
PGA= 3 x494=1482 square unit
Now the area of the city park will be calculated as:-
[tex]\rm CP=\dfrac{8}{3}\times PGA\\\\\\CP=\dfrac{8}{3}\times 1482[/tex]
CP=3952 square unit
Hence the area of the city park will be equal to 3952 square units.
To know more about the area follow
https://brainly.com/question/24375372
#SPJ1
Simplify:
2r + 7 + 11r + 3
Answers
Answer:
13r+10
Step-by-step explanation:
1. Combine Like Terms
(2r+11r)+(7+3)
13r+10
Answer:
13r+10
Step-by-step explanation:
2r+7+11r+3
collect like terms
2r+11r+7+3
13r+10
53. (a) if the symbol [tex]\lbrack\rbrack[/tex] denotes the greatest integer function defined in example 10 , evaluate
(i) [tex]\lim _{x\rightarrow-2^+}\lbrack x\rbrack[/tex]
(ii) [tex]\lim _{x\rightarrow-2}\lbrack x\rbrack[/tex]
(iii) [tex]\lim _{x\rightarrow-2.4}\lbrack x\rbrack[/tex]
Answers
If x is between two consecutive integers such that n ≤ x < n + 1, then the greatest integer function [x] maps x to the largest integer smaller than x so that [x] = n.
(i) If x is approaching -2 from above, that means x > -2. As x gets closer to -2, we essentially have -2 < x < -1, so that [x] will approach
[tex]\displaystyle \lim_{x\to-2^+} [x] = \boxed{-2}[/tex]
(ii) However, if x is approaching -2 from below, then x < -2, so that [x] = -3. In other words
[tex]\displaystyle \lim_{x\to-2^-} [x] = -3 \neq -2[/tex]
Because the one-sided limits do not match, the two-sided limit
[tex]\displaystyle \lim_{x\to-2} [x] ~~\boxed{\text{does not exist}}[/tex]
(iii) -2.4 lies between -3 and -2, so
[tex]\displaystyle \lim_{x\to-2.4} [x] = \boxed{-3}[/tex]
NEED HELP IM NOT SURE ILL GIVE BRAINLY !!! PLEASE SOMEONE
Answers
in simple terms, the domain of a function are the values of x that will give a real output
for y = x^2, you can plug in any number for x and get a real number result for y
What is 10% of 695,000
Answers
Answer:
69500
Step-by-step explanation:
[tex]\frac{695000}{x}=\frac{100\%}{10\%}\\\frac{x}{695000}=\frac{10}{100}\\\Rightarrow x=69500[/tex]
A D Show that 4h² - 4dh + x² = 0 T: Join OA, the radius of the centre and use the Pythagoras theorem. Express OA and OB in terms of d and/or h. B 11
Answers
See below for the proof of the equation 4h² - 4dh + x² = 0 using the Pythagoras theorem
How to prove the equation?The Pythagoras theorem states that:
Hypotenuse² = Opposite² + Adjacent²
The question is incomplete, as the figure is not given.
So, I will complete the proof using the following parameters:
Hypotenuse = 2√dhOpposite = xAdjacent = 2hSubstitute the above values in the following equation
Hypotenuse² = Opposite² + Adjacent²
So, we have:
(2√dh)² = x² + (2h)²
Evaluate the exponents
4dh = x² + 4h²
Subtract 4dh from both sides
0 = x² + 4h² - 4dh
Rewrite as:
4h² - 4dh + x² = 0
Hence, the equation has been proved
Read more about Pythagoras theorem at:
https://brainly.com/question/343682
#SPJ1
please please answer (-2)(-4)(-1)(-7)(1) = and explain
Answers
Answer:
56
Step-by-step explanation:
(-2)(-4)(-1)(-7)(1) =
(8)(-1)(-7)(1) =
(-8)(-7)(1) =
(56)(1) = 56
hope this helps
have a good day
Question 1 (1 point)
Consider this right triangle. Determine whether each equation is correct. Select Yes or No fo
each equation
А
5
3
4
4
С
00
B
COS(A)
5
3
O Yes
ONO
Next Page
Answers
Yes
Step-by-step explanation:
[tex] \cos( \alpha ) = \frac{base}{hypoteneuse} [/tex]
Its just correct..
#3. estimate the perimeter and area of the figure to the nearest whole number
Answers
Answer:
Perimeter = 29 unitsArea = 37 square unitsStep-by-step explanation:
Perimeter
1 + 2(3) + 6 + 8 + √(5² + 6²)15 + 6 + √6121 + 8 (nearest whole number)29 unitsArea
2 x 2 + 3 x 6 + 1/2 x 5 x 64 + 18 + 1537 square unitsYou roll a 6-sided die.
What is P(greater than 4 or factor of 5)?
Answers
Answer:
P(greater than 4 or factor of 5) = 1/3
Step-by-step explanation:
→ let A be the set {the numbers greater than 4}
then A : {5 , 6}
p(A) = 2/6
→ let B be the set {the factors of 5}
then B : {1 , 5}
p(B) = 2/6
P(greater than 4 or factor of 5) = p(A∪B)
Formula =================
p(A∪B) = p(A) + p(B) - p(A∩B)
………………………………………………
A∩B : {5}
then
cardA∩B = 1
Then
p(A∩B) = 1/6
Finally :
p(A∪B) = p(A) + p(B) - p(A∩B)
= 2/6 + 2/6 - 1/6
= 3/6
= 1/3
PLEASE HELP !!!!!!!!
Answers
Answer:Angle BCE
Step-by-step explanation:
look across from point C
A sociologist wishes to test . the sociologist takes a sample of size 100 and calculates a standardized test statistic of -2.34. to calculate a p-value for the test in excel, the sociologist should use:
Answers
Answer:
One-sample Z-test
Step-by-step explanation:
As the sample size is greater than 30, assuming the data is a simple random sample, and that the data has a normal distribution, the sociologist should conduct a one-sample z-test to calculate the p-value.
Jar a contains the 8 letters in the word colorado. jar b contains the 11 letters in the word connecticut. what is the probability of randomly drawing an o from jar a, then an o from jar b?
Answers
Answer:
4/19
Step-by-step explanation:
Jar a: 3/8
Jar b: 1/11
8+11 = 19
3+1= 4
4/19
find the volume of the compound shape.
Answers
[tex]v = \frac{4}{3} \pi {r}^{3} [/tex]
[tex]v = \frac{4}{3} \times \pi \times {2}^{3} [/tex]
[tex]v = 33.51 \: {m}^{3} [/tex]
Volume of the cylinder:[tex]v = \pi {r}^{2} h[/tex]
[tex]v = \pi \times {2}^{2} \times 6[/tex]
[tex]v = 75.40 \: {m}^{3} [/tex]
Total volume:[tex]v = 75.40 + 33.51[/tex]
[tex]v = 108.91 \: {m}^{3} [/tex]
Hence, the volume of the given compound shape is 108.91 cubic meters.
sphere:
= 33.51 m^3
cylinder:
= 75.40 m^3
all together:
= 108.91 m^3
SOMEONE PLEASE HELP ME
Answers
Answer:
A= 77/2 or 38.5 cm^2 and p= 29.5 cm
Step-by-step explanation: Remember the formula for area and perimeter for a triangle A=1/2bh and P= a+b+c. So the equations would look like A=1/2 x 11 x 7 and P= 11 + 11 + 7.5 and that'll result in A= 77/2 or 38.5 cm^2 and p=29.5 cm.
how to answer this question ?
Answers
The sides
12-3a
12-3a
4(2a-5)=8a-40
so for perimeter we + them
(12-3a)+(12-3a)+(8a-40)
=
2a-16
Question 1 of 10
List all the factors of 34 from least to greatest. Enter your answer below,
using a comma to separate each factor.
Answer here
I
SUBMIT
Answers
Answer:
Hope the picture will help you.....................
Find the quotient 16)4.88
Answers
Answer:
if this is 4.88/16 then the answer is 0.305.
Juanita has 2 rolls of film with 36 exposures and 3 rolls of film with 24 exposures. How many photos can she take with this film? She can take ____ pictures
Answers
Answer:
65 pictures because 24+36+3+2
Please help me solve these problems *all of them solved. I have been struggling the other day doing these. please give me the answers and the explanation.
Answers
Step-by-step explanation:
Q1. volume of a cylinder
Ans. The way you find a volume of a regular object is multiplying the base area by height Here the base area is a circle so formula would be pi times r square (πr^2). To get the volume multiply it by 4. Final answer would be π(3)^2*4
simplify PLEASE HELP ASAP
Answers
Answer:
[tex]0 < x < 6[/tex]
Step-by-step explanation:
This question asks to solve an inequality which can be written as:
[tex]\sqrt{x^2-6x+9} < 3[/tex]
Solve for x:
[tex]\sqrt{x^2-6x+9} < 3\\x^2-6x+9 < 9\\x^2-6x < 0\\x(x-6) < 0[/tex]
From here we can deduce that the inequality is [tex]0[/tex] when:
[tex]x = 0[/tex] or [tex]x = 6[/tex]
We can write the solution as:
[tex]0 < x < 6[/tex]
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Let's evaluate ~
[tex]\qquad \sf \dashrightarrow \: \sqrt{ {x}^{2} - 6x + 9 } [/tex]
[tex]\qquad \sf \dashrightarrow \: \sqrt{ {x}^{2} - 3x - 3x+ 9 } [/tex]
[tex]\qquad \sf \dashrightarrow \: \sqrt{ {x}^{}(x - 3) - 3(x - 3) } [/tex]
[tex]\qquad \sf \dashrightarrow \: \sqrt{ (x - 3)(x - 3) } [/tex]
[tex]\qquad \sf \dashrightarrow \: \sqrt{ (x - 3) {}^{2} } [/tex]
[tex]\qquad \sf \dashrightarrow \: { (x - 3) {}^{} } [/tex]
Now, we have been given that value of x :
[tex]\qquad \sf \dashrightarrow \:x < 3[/tex]
So, let's plug the value of x as 3 in the given expression ~
[tex]\qquad \sf \dashrightarrow \:3 - 3[/tex]
[tex]\qquad \sf \dashrightarrow \:0[/tex]
Therefore, we can conclude that :
[tex]\qquad \sf \dashrightarrow \: \sqrt{ {x}^{2} - 6x + 9 } < 0[/tex]
Value of the expression should be less than 0
In circle H with m/GHJ = 82 and GH = 12 units, find the length of arc GJ.
Round to the nearest hundredth.
H
Answers
The length of the arc GJ is 17.17 units if the in circle H with m/GHJ = 82 and GH = 12 units.
What is a circle?It is described as a set of points, where each point is at the same distance from a fixed point (called the centre of a circle)
We have angle GHJ = 82 units
Length of GH = 12 units
We know:
s = 2πr(θ/360)
s = (2π)12(82/360)
s = 17.17 units
Thus, the length of the arc GJ is 17.17 units if the in circle H with m/GHJ = 82 and GH = 12 units.
Learn more about circle here:
brainly.com/question/11833983
#SPJ1
The volume of a cone is 48π cm3. If this cone is placed inside of a cylinder with the exact same sized base and height, how much empty space is left in the cylinder?
Answers
Answer:
32π cm^3.
Step-by-step explanation:
The volume of a cone is 1/3 of the volume of a cylinder with the same base area and height.
So the empty space = 2/3 * 48π
= 32π cm^3.
Please help me find the value of x
Answers
Check the picture below.
Which of the following functions is represented in the graph shown?
f(x) = −2cos(2x) + 1
f(x) = −4cos(2x) − 1
f(x) = −2cos(x) − 1
f(x) = −4cos(x) + 1
Answers
Answer:
[tex]f(x)=-2\cos(2x)+1[/tex]
Step-by-step explanation:
Recall the general cosine equation
Function: [tex]f(x)=a\cos(bx+c)+d[/tex]Amplitude: [tex]|a|[/tex]Period: [tex]\frac{2\pi}{|b|}[/tex]Vertical Shift: [tex]-\frac{c}{b}[/tex]Midline: [tex]y=d[/tex]Identify amplitude
[tex]\text{Amplitude}=\frac{\text{Max-Min}}{2}=\frac{3-(-1)}{2}=\frac{4}{2}=2[/tex]
Identify period and solve for b
[tex]\frac{3\pi}{2}-\frac{\pi}{2}=\pi\\ \\\frac{2\pi}{|b|}=\pi\\ \\2\pi=b\pi\\\\2=b[/tex]
Identify midline
[tex]y=d=1[/tex]
Final Equation
[tex]f(x)=-2\cos(2x)+1[/tex]
Also, the reason why [tex]a=-2[/tex] is because a cosine function starts at its maximum, but since it starts at its minimum, the value of [tex]a[/tex] must be negative and causes the wave to flip about the midline.
A cuboid with dimensions 45 cm by 16 cm by 12 cm is cut to form smaller cubes of
length 4 cm. What is the maximum number of cubes that can be obtained?
Answers
Answer:
135 cubes
Step-by-step explanation:
Volume of cuboid :
45 x 16 x 12720 x 128,640 cm³Volume of a small cube :
(4)³64 cm³Number of cubes :
n = 8,640/64n = 135 cubes
5. Caroline is 12 years younger than
twice Anna's age.
Caroline is 32 years old. How old is
Anna?
Answers
Answer:
10
Step-by-step explanation:
32 - 12 (because C is 12 years younger) = 20
20 / 2 (because twice Anna's age, so we do the inverse) = 10
Anna is 10 years old.
Hope this helps!
Answer:44
Step-by-step explanation:
What is 1/4 of 12? I can’t figure it out.
Answers
Answer:
3
Step-by-step explanation:
1/4 of 12 means (1/4) x 12
=> (1/4)x12
=> 12/4
=> 3
Answer: Heyaa! ~
Your Answer would be 3!
Step-by-step explanation:
We can write 1/4 of 12 as 1/4 × 12
To multiply fractions, follow the given steps:
Multiply the numerators.
Multiply the denominators.
Reduce the resultant fraction to its lowest terms.
Now,
1/4 × 12 = (1 × 12) / 4 = 12/4 = 3
Meaning the answer is.. 1/4 of 12 = 3
Hopefully this helps you!
Can somebody please help me?
Answers
Answer:
1 23/36
Step-by-step explanation:
hope this helped
Pls answer I’ll mark brainly
Answers
Answer:
52 miles
Step-by-step explanation:
since 1 unit is 26 miles and the distance from Daytona beach to Orlando on the map is 2 units just multiply 26 by 2 to get 52 miles
1 unit = 26
So multiply 2 times 26