Answers
Answer:
592 in²
Step-by-step explanation:
The surface area is the sum of the areas of the rectangles shown in the figure.
__
The light blue central rectangle is 12 in wide and a total of 36 in tall. Its surface area is ...
A = LW = (12 in)(36 in) = 432 in²
The two identical darker blue rectangles on the sides are each 8 in by 10 in, so their total area is ...
A = 2(LW) = 2(8 in)(10 in) = 160 in²
The total surface area of the figure is (432 +160) in² = 592 in².
Related Questions
The circumference of a circle is 31.4 metres. What is the circle's diameter?
Answers
Answer:
9.99m
Step-by-step explanation:
d≈9.99m
C Circumference
31.4m
Using the formulas
C=2πr
d=2r
Solving ford
d=C
π=31.4
π≈9.99493m
I will give brainliest if you answer please
Answers
Answer:
KN = 11
Step-by-step explanation:
In right triangle LNM, by Pythagoras theorem:
[tex]LN=\sqrt{LM^2 -MN^2} \\ \\ \implies \: LN=\sqrt{ {(100)}^{2} -(80)^2} \\ \\ \implies \: LN=\sqrt{ 10000 -6400} \\ \\ \implies \: LN=\sqrt{ 3600} \\ \\ \implies \: LN=60[/tex]
In right triangle LNK, by Pythagoras theorem:
[tex]KN = \sqrt{LK^2-LN^2}[/tex]
[tex]\implies KN = \sqrt{(61)^2-(60)^2}[/tex]
[tex]\implies KN = \sqrt{3721-3600}[/tex]
[tex]\implies KN = \sqrt{121}[/tex]
[tex]\implies\huge{\orange{ KN =11}}[/tex]
Answer:
11[tex] \: [/tex]
Step-by-step explanation:
Before, Finding the length of KN, we must have to find the length of LN. So
[tex] \: [/tex]
Here, LNM is a right angled triangle where measure of two sides are given and we are to find the measure of the third side LN(Perpendicular).
[tex] \: [/tex]
We'll find the measure of third side with the help of the Pythagorean theorem.
[tex] \\ {\longrightarrow \pmb{\sf {\qquad (Base) {}^{2} + (Perpendicular {)}^{2} = (Hypotenuse {)}^{2} }}} \\ \\[/tex]
Here,
The base (NM) is 80The perpendicular is LNThe hypotenuse (LM) is 100.[tex] \: [/tex]
So, substituting the values in the above formula we get :
[tex]\\ {\longrightarrow \pmb{\sf {\qquad (NM) {}^{2} + (LN {)}^{2} = ( LM{)}^{2} }}} \\ \\[/tex]
[tex] {\longrightarrow \pmb{\sf {\qquad (80) {}^{2} + (LN {)}^{2} = ( 100{)}^{2} }}} \\ \\[/tex]
[tex] {\longrightarrow \pmb{\sf {\qquad (LN {)}^{2} = ( 100{)}^{2} - (80) {}^{2}}}} \\ \\[/tex]
[tex] {\longrightarrow \pmb{\sf {\qquad (LN {)}^{2} = 10000 - 6400}}} \\ \\[/tex]
[tex] {\longrightarrow \pmb{\sf {\qquad (LN {)}^{2} = 3600}}} \\ \\[/tex]
[tex] {\longrightarrow \pmb{\sf {\qquad LN = \sqrt{3600} }}} \\ \\[/tex]
[tex]{\longrightarrow \pmb{\sf {\qquad LN = \frak{60}}}} \\ \\[/tex]
Therefore,
The length of LN is 60.[tex] \\ [/tex]
As, we found the length of LN, now we can find the length of KN.
Where,
The base is KNThe perpendicular (LN) is 60.The hypotenuse (LK) is 61.So, in the right angled triangle LKN, by Pythagorean theorem we get,
[tex]\\ {\longrightarrow \pmb{\sf {\qquad (KN) {}^{2} + (LN {)}^{2} = ( LK{)}^{2} }}} \\ \\[/tex]
[tex]{\longrightarrow \pmb{\sf {\qquad (KN) {}^{2} + {60}^{2} = ( 61{)}^{2} }}} \\ \\[/tex]
[tex]{\longrightarrow \pmb{\sf {\qquad (KN) {}^{2} = ( 61{)}^{2} - {(60)}^{2}}}} \\ \\[/tex]
[tex]{\longrightarrow \pmb{\sf {\qquad (KN) {}^{2} =3721 - 3600}}} \\ \\[/tex]
[tex]{\longrightarrow \pmb{\sf {\qquad (KN) {}^{2} = 121}}} \\ \\[/tex]
[tex]{\longrightarrow \pmb{\sf {\qquad KN = \sqrt{121} }}} \\ \\[/tex]
[tex]{\longrightarrow \pmb{\sf {\qquad KN = \frak{11} }}} \\ \\[/tex]
Therefore,
The length of KN is 11.Tara has
cup of ice cream. How many --cup servings are in
3
4
cup of ice cream?
1
5
Answers
Answer: 3.75 Cups
3/4=_/20, to get that multiply the bottom number by each other, in doing so,you will get 15/20, now lets make 1/5= to 20, so we get 4/20 so therefore saying 4/20+4/20+4/20=12/20, so you can make 3 1/5 cups and you will have 3/20 (scoops? cups?) left of ice cream, so 3.75 cups
Step-by-step explanation: HOPE THIS HELPS U!!! LOV<3
In a school, 5/8 of the students are boys. If there are 240 girls, find the number of boys in the school.
Answers
Answer:
400 boys
Step-by-step explanation:
First use the fraction along with the given information (240 girls)
If 5/8 of the school are boys, then that means 3/8 of the school's students are girls. 3/8 happen to be equal to 240, which means we can conclude that 1/8 is equivilant to 240/3 = 80
80 multiplied by 5 = 400
There are 400 boys in the school. (640 total students in school)
Tip: Easy way to check answer is by putting the boys over the total students to find the ratio, and if it matches, your answer is correct. 400/640 = 0.625, which equals 5/8
Hope this helps :)
In the figure below, xZ=25 and YZ=17. Find xY.
xY=
Answers
Answer:
XY = 8
Step-by-step explanation:
XY + YZ = XZ , that is
XY + 17 = 25 ( subtract 17 from both sides )
XY = 8
How many turning points are in the graph of the polynomial function?
2 turning points
3 turning points
4 turning points
5 turning points
Answers
[tex] \mathbb\red{4\:turning\:points} [/tex]
Each student needs 3 3/4 feet of string for an art project. The art
teacher orders string by the yard. How many yards should he order for 67
students?
Answers
Answer:
83.75 yards
Step-by-step explanation:
3.75 x 67 = 251.25ft
251.25 / 3 = 83.75yards
what value of w makes the following equation true?
w+4 1 over 5 = 13 19 over 20
Answers
Answer:
13.15
Step-by-step explanation:
if sin(32)=x , then sin(4) cos(4) cos(8) cos(16)=..............
Solve using double angle trigonometric functions
Answers
If sin 32 is equal to x, then sin 4 · cos 4 · cos 8 · cos 16 is equal to x/8 by using double angle trigonometric functions.
How to simplify an expression by trigonometric expressions
Trigonometric expressions are formulas that utilize trigonometric functions. Trigonometric functions are a kind of trascendental functions, that is, functions that cannot be described in algebraic terms.
In this question we must simplify a given expression by using the following trigonometric formula:
sin 2x = 2 · cos x · cos x (1)
Now we proceed to expand the expression given:
x = sin 32
x = 2 · sin 16 · cos 16
x = 4 · sin 8 · cos 8 · cos 16
x = 8 · sin 4 · cos 4 · cos 8 · cos 16
Thus,
sin 4 · cos 4 · cos 8 · cos 16 = x/8
If sin 32 is equal to x, then sin 4 · cos 4 · cos 8 · cos 16 is equal to x/8 by using double angle trigonometric functions. [tex]\blacksquare[/tex]
To learn more on trigonometric functions, we kindly invite to check this verified question: https://brainly.com/question/6904750
The expected adult weight of a golden retriever puppy is 1.5w, where w is the puppy's weight at 6 months of age. Britney's 6-month-old golden retriever puppy weighs 40 pounds. What is the expected adult weight of Britney's puppy?
Answers
Answer:
60
Step-by-step explanation:
bceuase i got it right just multiply
what is the perimeter ?
Answers
Answer:
53
Step-by-step explanation:
You get the perimeter by adding up all of the sides. I added them up and got 53
A group of friends wants to go to the amusement park. They have no more than $230 to spend on parking and admission. Parking is $8, and tickets cost $27.75 per person, including tax. Write and solve an inequality which can be used to determine xx, the number of people who can go to the amusement park.
Please help me
Answers
Answer:
230=8X+27.75X
230=35.75X
x = 6 Rounded down
8*6=48
27.75*6=166.5
48+166.5=214.5
Amount of frindes can go is 6
Step-by-step explanation:
help me please! THis is the last one i need hurry!!!!!!!!
Answers
Answer:
900 in^2
Step-by-step explanation:
Triangle area = ( b x h )/ 2
rectangle area = b x h
------------------------------------------
triangle:
30 * 40 / 2 = 600 in^2
rectangle:
30 * 20/2 = 300 in^2
---------------------------------------
600 + 300 = 900 in^2
Help me please. I really neeed it
Answers
Answer: You need to put the same shape as it shows there on the top.
Step-by-step explanation: I hope this helped you.
The graph of g(x)=(x-12)^2 is the graph of f(x)=x^2 translated ____ units
Answers
[tex] \black{ \rule{1000pt}{5555555pt}}[tex] [/tex]
Use substitution to solve the system.
2y-13=x
-4x+5y=40
X=
Y=
Answers
y=4
x=-5
Step-by-step explanation:
-4(2y-13) + 5y = 40
-8y + 52 + 5y = 40
-3y + 52 = 40
-3y = -12
y=4
x=-5
pleessss helpppp for brainlyyyyy
Answers
$37.51 - the third option above
Step-by-step explanation:
A
1600 x 1.053^3= 1868.12
B
1600x1.06^3 =1905.63
Difference
1905.63-1868.12= 37.51
$37.51
Hope this helps!
An exam has two papers. Anil scores 22 out of 80 on paper 1 and 75 out of 100 on paper 2. Work out his percentage score for the exam.
Answers
Answer:
53.89%
Step-by-step explanation:
total no. obtainable = 80 + 100 = 180
total scores acquired = 22 + 75 = 97
percentage = (total acquired/total possible) × 100
= (97/180) × 100
= 53.89 %
Dylan has a loyalty card good for a 20% discount at his local pharmacy. What would his total in dollars and cents be, after the discount and before tax, if the total cost of all the items he wants to buy is $30.70? Round to the nearest cent.
Answers
Answer:
$6.14.
Step-by-step explanation:
$30.70×20%
there will be after the tax and discount.
A sollid piece of iron in the form of a cuboid of dimensions 49cm × 33 cm× 24 cm , is moulded to form a solid sphere. find the radius of the sphere
Answers
Answer:
Radius of sphere is 21 cmStep-by-step explanation:
Given:
A sollid piece of iron in the form of a cuboid of dimensions 49cm × 33 cm× 24 cm , is moulded to form a solid sphere.To Find:
Radius of the sphereSolution:
Volume of sphere = Volume of cubiod
↠ 4/3 πr³ = LBH
↠ 4/3 × 22/7 × r³ = 49 × 33 × 24
↠ 4/3 × 22/7 × r³ = 38808
↠ 4 × 22/7 × r³ = 38808/3
↠ r³ = 38808 × 3 × 7/4 × 22
↠ r³ = 441 × 21
↠ r³ = 9261
↠ r = 21 cm
Hence,
Radius of sphere is 21 cmAnswer:
21.00 cm to the nearest hundredth.
Step-by-step explanation:
The volume of the sphere will be equal to the volume of the cuboid.
So 4/3 π r^3 = 49*33*24 where r = radius of the sphere.
r^3 = (49*33*24 ) / 4/3 π
r^3 = 38808 / 4.18879
= 9264.728
r = ∛9264.728
= 21.0028 cm.
The solid below is made from cubes.
Find Its volume.
Answers
Answer:
20
Step-by-step explanation:
2x2x5
please answer quickly!! what is the exact value of x and y? please leave an answer if you’re going to comment!! (i’ve posted this 3 times)
Answers
To solve this problem
⇒ need to use the special right triangle theorem
⇒ 30-60-90 triangle theorem (look at diagram attached for the property)
(we can use this theorem because the square on one of the angles indicates that the angle is 90 degrees. The other angle is indicated as 60 degrees. All the angles of a triangle should add up to 180, so the last angle is 30 degrees)Using the theorem:
the side facing opposite the 60-degree angle is equal ⇒ [tex]x\sqrt{3}[/tex][tex]x\sqrt{3} =17\sqrt{3} \\x = 17[/tex]
the side facing opposite the 90-degree angle is twice the value of x[tex]y = 2x = 2 * 17 =34[/tex]
Answers:
x = 17 and y = 34
Hope that helps!
EXPLANATION:According to the 30 60 90 rule the Y value would be double the x and the x in the longer leg would be the short leg value
Solve for x in the equation x squared minus 12 x 36 = 90.
Answers
Answer:
x = ±3√58
Step-by-step explanation:
Given
x² - (12 x 36) = 90Solving
x² - 432 = 90x² = 522x² = 9 x 58x = ±3√58Answer:
[tex]x =[/tex] ± [tex]22.85[/tex]
Step-by-step explanation:
Step 1: Multiply 12 * 36
[tex]x^2 - (12 * 36) = 90[/tex]
[tex]x^2 - 432 = 90[/tex]
Step 2: Add 432 to both sides
[tex]x^2 - 432 + 432 = 90 + 432[/tex]
[tex]x^2 = 522[/tex]
Step 3: Square root both sides
[tex]\sqrt{x^2} = \sqrt{522}[/tex]
[tex]x =[/tex] ± [tex]22.85[/tex]
Answer: [tex]x =[/tex] ± [tex]22.85[/tex]
Makayla uses 2 1/2 pounds of chocolate to make exactly 3 1/3 dozen truffles. How many dozen truffles could she make with 1 pound of chocolate? How many pounds of chocolate would she need to make 5 dozen truffles? Drag and drop the correct value into each box to make each statement true.
Answers
Answer:
Below in bold.
Step-by-step explanation:
By proportion she can make 3 1/3 * 1 / 2 1/2 truffles
= 10/3 * 1 / 5/2
= 10/3 * 2/5
= 20 / 15
= 1 1/3 dozen truffles from 1 pound chocolate.
1 1/3 dozen truffles is made from 1 pound
4/3 . . .. .. .. .. .. .. 1 pound
1 . . .. .. .. .. .. .. 3/4 ..
5 . . .. .. .. .. .. .. 3/4 * 5 = 15/4 pound of chocalote=
3 3/4 pounds chocolate.
The graph of a function is shown:
which of the following correctly identifies the set of outputs?
a: {(5,-2), (1,-1), (-2,2), (2,5)}
b: {(-2,5), (-1,1), (2,-2), (5,2)}
c: {-2, -1, 2, 5}
d: {-2, 1, 2, 5}
Answers
Answer:
B.
Step-by-step explanation:
Use (X, Y)
X being the horizontal line
Y being the vertical line
Please help, will give 15 points!!!
A standard number cube is tossed. Find each probability.
P(even or less than 4)
Answers
Answer:
total 6
even 2, 4, 6
even or less than 4: 2, 4
p = 2/6 = 1/3
brainliest?
Please help me with algebra question will mark brainliest to first person with a real answer
Answers
Answer:
367/90
Step-by-step explanation:
As [tex]4.\bar{7}=4\frac{7}{9}[/tex], this means that [tex]0.4\bar{7}=4\frac{7}{90}=\frac{367}{90}[/tex], 1/10th of 4.7 repeated.
65%of 320+?=686
Options are:
a) 480
b) 452
c) 461
d) 475
e) none of these
Answers
Answer:
e) none of these
Explanation:
65% * 320 + ? = 686208 + ? = 686? = 686 - 208? = 478Answer:
e) None of these.
Step-by-step explanation:
Let the unknown number be x, then:
0.65*320 + x = 686
208 + x = 686
x = 686 - 208
= 478
Write an equation in slope-intercept form that is parallel to y - 5x = 10 and passes through the point (2, -4).
Answers
Answer:
y = 5x - 14
Step-by-step explanation:
*Parallel lines have the same slopes*
Rewrite your equation to slope-intercept form: y = mx + b
y = mx + b
m = slopeb = y-intercept (when x = 0)y - 5x = 10 <== add 5x to both sides
+ 5x + 5x
y = 5x + 10
The slope of the line that is parallel to this line is 5.
We need to find the y-intercept (b) for the parallel line using (2, -4):
y = 5x + b <== substitue 2 for x and -4 for y
-4 = 5(2) + b
-4 = 10 + b <== subtract 10 from both sides to isolate b
-10 -10
-14 = b
y = 5x + b changes to y = 5x - 14
Hope this helps!
Slope:-
m=5Parallel lines have equal slope
passes through (2,-4)Equation in point slope form
y-y1=m(x-x1)y+4=5(x-2)y+4=5x-10y=5x-14Identify the x-intercept and the y-intercept of the graphs.
Answers
Answer:
1st picture:
y-intercept = -2
x-intercept = 3
2nd picture:
y-intercept = 1
x-intercept = 2
Step-by-step explanation:
y-intercept: the point where the graph intersects the y-axis.
x-intercept: the point where the graph intersects the y-axis.
1st picture:
y-intercept = -2
x-intercept = 3
2nd picture:
y-intercept = 1
x-intercept = 2
