This is Surface Area of Composite Figures and I need help solving this question. I'm gonna fail my math exam if I don't figure this out!!!
Answers
Answer: 302 cm2
Step-by-step explanation:
Hi, to answer this question we have to calculate the surface area of the cubes and the rectangular prism, and the then add them (minus the overlaps)
Surface area of a cube (SAC)= 6 x side length ^2
Since one side of each cube is covered by each other, we simply have to multiply the area of one side by 5 instead of 6.
SAC = 5 x (2)^2 = 20 cm2
Since both cubes are equal, we simply multiply it by 2:
20 x 2 = 40 cm2 (surface area of the 2 green cubes)
Surface Area of a rectangular prism (SAP) = 2wl + 2lh + 2hw
Where:
w = width (5); l = length (11); h = height (5)
SAP = 2 (5x 11) + 2 (11 x5) + 2 (5x5) = 110+110+50=270 cm2
Finally, adding both surface areas, and subtracting the base area of the bottom cube covered by the prism multiplied by 2 ( overlap )
270+40-2(4) = 302 cm2
Related Questions
A square has side lengths of 9 use the Pythagorean theorem to find the length of the diagonal
Answers
Answer:
12.73
Step-by-step explanation:
The diagonal of the square forms the shape of a right angle with two adjacent sides of the square.
The diagonal is the hypotenuse.
Pythagoras theorem states that the square of the hypotenuse is equal to the sum of the square of the other two sides of the triangle:
[tex]d^2 = a^2 + b^2[/tex]
where d = hypotenuse = diagonal.
Since the other two sides are equal, then:
[tex]d^2 = a^2 + a^2\\\\d^2 = 2a^2[/tex]
The length of the side of the square is 9:
[tex]d^2 = 2 * 9^2 \\\\d^2 = 2 * 81\\\\d^2 = 162\\\\d = \sqrt{162}\\ \\d = 12.73[/tex]
The length of the diagonal is 12.73
Answer:
12.73
Step-by-step explanation:
PLEASE HELP WILL MARK BRAINLIEST
find the value of x
Answers
I think,
the value of x is 90°
The sum of 3 angles in a triangle will always equal 180 degrees. So to find x in this problem you can do 180 - 82 - 48 = 50°
four rational numbers between 2/3 and 4/5
Answers
Answer:
5/7, 11/15, 23/31, 47/63
Step-by-step explanation:
any number you can write into a fraction between those numbers
What is the value of x?
Answers
Answer:
4
Step-by-step explanation:
LJK is a special right triangle with angle measures of 90° 60° 30°
If the side length of hypotenuse is 8√2 the side length that sees 30° would be half of it so it's 4√2
LMJ is a special right triangle with angles 90° 45° 45° and if the side length of hypotenuse is 4√2 the the value of equal sides would be 4
If you borrow $300 for 14 years at
an annual interest rate of 4%, how
much will you pay altogether?
Answers
Answer:
$468
Step-by-step explanation:
I = P*R*T
I = 300*0.04*14
I = 168
168 + 300 = 468
Function g can be thought of as a translated (shifted) version of f(x)=x^2.
PLEASE HELP I NEED THISSS!!!
Answers
Answer:
g(x) = x² - 3
Step-by-step explanation:
A quadratic function has been given as,
f(x) = x²
If the function f is translated by 'h' unit down over the y-axis, the new function obtained by the translation is,
g(x) = x² - h
From the graph attached, h = 3 units (shift of 3 units downwards)
Therefore, g(x) = x² - 3 will be the translated version of f(x).
Use the Law of Sines to complete an expression that represents the angle measure x.
Answers
Answer:
The length of a is equal to 14.9.
The angle measure of b is equal to 71°.
The length of c is equal to 25.5.
General Formulas and Concepts:
Pre-Calculus
Law of Sines:
[tex]\displaystyle \bold{ \frac{\sin A}{a} = \frac{\sin B}{b} = \frac{\sin C}{c} }[/tex]
Step-by-step explanation:
Step 1: Define
Identify given from triangle.
Length corresponding with x°: 14.9
Other given angle: 71°
Length corresponding with 71°: 25.5
Step 2: Find Values
[Law of Sines] Substitute in variables:[tex]\displaystyle \frac{\sin x^\circ}{14.9} = \frac{\sin 71^\circ}{25.5}[/tex]Isolate x° term:
[tex]\displaystyle \sin x^\circ = \frac{14.9 \sin 71^\circ}{25.5}[/tex]Isolate x°:
[tex]\displaystyle x^\circ = \sin^{-1} \bigg( \frac{14.9 \sin 71^\circ}{25.5} \bigg)[/tex]Identify variables:
[tex]\displaystyle a = 14.9 , \ b = 71^\circ , \ c = 25.5[/tex]
∴ we have completed the expression using Law of Sines.
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Topic: Precalculus
Unit: Trigonometry
(PIC INSIDE!!!) What is the equation of the following linear function?
Answers
Answer:
y=4x-4
Step-by-step explanation:
Since this line rises 4 units for every 1 it moves to the right, it has a slope of 4/1=4. Also, since it intersects the y axis at the point (0,-4), b=-4.
Therefore, the equation is y=4x-4. Hope this helps!
A store sells an outfit that consists of a shirt, a tie, and a pair of pants. The store purchases the shirt for $18, the tie for $12, and the pants for $35. The percent of markup is 22%. Find the selling price of the outfit.
Answers
Answer:The selling price of the outfit is $79.3
Step-by-step explanation:
18 + 12 + 35 = $65
65* 22% = 14.3
14.3 + 65 = $79.3
or
100% + 22% = 122%
122% of 65
1.22 * 65 = 79.3
The price of a vase was increased by 4% to £22. What was the price before the increase? Give your answer to the nearest penny.
Answers
Answer:
The price before the increase was £21.20
Step-by-step explanation:
Now, let the former price before the increment be £x
The increment would be 22-x
Mathematically, the percentage increment = difference between the prices/old price * 100%
Thus, we have(
(22-x)/x * 100 = 4
100(22-x) = 4x
2200-100x = 4x
100x + 4x = 2200
104x = 2200
x = 2200/104
x = 21.154
which is x = 21.2 to the nearest penny
Answer:
21.15
Step-by-step explanation:
22 × 10 = 220
100%+4%=104
104 ÷ 10 = 10.4
220 ÷ 10.4 =21.15384615
To the nearest penny it would be 21.15
Which angles are corresponding angles?
Check all that apply.
8
4
7
3
6
2
O A. 6 and 3
B. 1 and 6
C. 1 and 3
D. 5 and 7
I E. 6 and 8
F. 7 and 2
Answers
HELP PLEASE
18 miles= how many feet
_________feet
Answers
Answer:
18 miles= how many feet
____95,040_____feet
Step-by-step explanation:
happy to help ya:)
LAT QUESTION AND LAST TRY!!! WILL GIVE BRANLIEST!!!! AT LEAST TAKE A LOOK, SHARE YO SMARTNESSS!!!!!!!! PLS
12. ___________________ lines cross at a right angle.
A) Parallel
B) Slanted
C) Intersecting
Answers
Answer:
The answer is A, parallel.
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
took the test
i will give brainliest. Select the 2 equations that are equal to the expression z^8. Answers in picture below.
Answers
[tex]the \: right \: options \: are \\ option \: b \\ option \: c \\ please \: see \: the \: attached \: picture \: for \: full \: solution \\ hope \: it \: helps[/tex]
En una granja se observa que por 12 patos hay 5 gallinas, por tres gallinas hay 8 pavos ;por 10 pavos hay 9 cerdos. ¿A cuantos patos equivalen 7 cerdos?
Answers
Answer:
7 ducks equals 7 pigs.
Step-by-step explanation:
English Translation
On a farm it is observed that for 12 ducks there are 5 chickens, for three chickens there are 8 turkeys, for 10 turkeys there are 9 pigs. How many ducks equals 7 pigs?
Solution
For 12 ducks, there are 5 chickens
12 ducks = 5 chickens
For 3 chickens, there are 8 turkeys
3 chickens = 8 turkeys
For 10 turkeys, there are 9 pigs
10 turkeys = 9 pigs
We first need to create a direct relationship between ducks and pigs to know how many ducks are equivalent to 7 pigs.
9 pigs = 10 turkeys
8 turkeys = 3 chickens
10 turkeys = (10×3/8) chickens = 3.75 chickens
Hence, 9 pigs = 10 turkeys = 3.75 chickens
9 pigs = 3.75 chickens.
12 ducks = 5 chickens
5 chickens = 12 ducks
3.75 chickens = (3.75×12/5) ducks = 9 ducks.
9 pigs = 3.75 chickens = 9 ducks
9 pigs = 9 ducks.
Hence, 7 pigs = 7 ducks too.
Hope this Helps!!!
One number is 5 more than twice another and their sum is 23.
Which of the following system of equations represents the word problem?
y= 2( x + 5) and x + y= 23
x + y = 23 and y= 2 x + 5
y=x+ 5 and y + 2(x+5) = 23
Answers
Answer:
x + y = 23 and y= 2 x + 5
Step-by-step explanation:
The number is 5 more than twice another so 2x + 5 = y
The two numbers have a sum of 23 so x + y = 23.
Raj was asked to fully simplify this polynomial and put it into standard form.
2x2y + 8x3 – xy2 – 2x3 + 3xy2 + 6y3
Raj simplified the polynomial with a final term of 6y3. What is the first term of the polynomial Raj ended up with?
6x3
8x3
2xy2
3xy2
Answers
Step-by-step explanation:
The first term is 6x3
Because he subtracted like terms 8x3 and 2x3
Answer:
6x³
Step-by-step explanation:
2x²y + 8x³ – xy² – 2x³ + 3xy² + 6y³=
6x³+2x²y+2xy²+6y³
A vegetable garden measures 20m x 30m. He wants to double the area by adding a strip of ground around the outside. How wide should the strip be?
Answers
Answer:
Step-by-step explanation:
SOMEONE PLEASE HELP MEEE !!!
Answers
Answer:
see explanation for answers
Step-by-step explanation:
prism = 12*4 + 5*4 + 12*4 + 5*4 + 12*5 + 12*5 = 256 ft²
lateral surface area of pyramid = 4*1/2*5*5 = 50 ft²
area of square base of the pyramid = 5*5 = 25 ft²
total exposed surface area of the figure = 256 + 50 - 25 = 281 ft²
Please please help!!!!
Which ordered pair is a solution of this
equation?
3x - 7y = 28
Click on the correct answer
A.
(-4,1)
B.
(0,-4)
C.
(-4,0)
D.
(1,-4)
Answers
0+28=28
28=28
First you plug in 0 for x and 3(0) is 0 so you are left with -7y = 28 so you solve that 28/-7 is -4. Then you plug that back into your original equation
3x -7(-4) = 28
3x + 28 = 28
-28. -28
3x = 0
Divide by 3
X= 0
y = -4
(0,-4)
A cube has an edge length of 7 inches. What is its volume, in cubic inches?
Answers
Answer:
343 cubic inches
Step-by-step explanation:
7 times 7 times 7 is 343
Benjamin has 3 gallons of punch. He adds another 1··2gallon of juice to the punch. How many gallons of punch does he have now? How many cups? Explain your reasoning.
Answers
Answer:
4.2 gallons
67.2 cups
Step-by-step explanation:
He had 3 gallons of punch.
He added another 1.2 gallons.
The number of gallons of punch he has now is:
3 + 1.2 = 4.2 gallons
1 gallon = 16 cups
=> 4.2 gallons = 4.2 * 16 = 67.2 cups
He has 67.2 cups
Can someone please help with this answer
Answers
Answer:
16x9= 144 cm2
Step-by-step explanation:
solve ....... x/2 = 7
Answers
Answer:
x=14
Step-by-step explanation:
x/2=7
*7 on both sides
x=14
Answer: x=14
Step by step explanation:
Step 1: Multiply both sides by 2.
X/2*2=7*2
X=14
It was easy as that:D
2,7, 12, 17, 22, 27, 32, 37, ...
f(1) =
Common Difference:
Explicit Rule:
Answers
Answer:
Common difference=5.
what are the zero's f(x)=(x-3)(x+8)
Answers
Answer:
-8, 3
Step-by-step explanation:
[tex]f(x) = (x - 3)(x + 8) \\ plug \: f(x) = 0 \\ (x - 3)(x + 8) = 0 \\ x - 3 = 0 \: or \: x + 8 = 0 \\ x = 3 \: or \: x = - 8 \\ \therefore \: - 8, \: 3 \: are \: zeros \: [/tex]
what is the answer for AC =
Answers
Answer:
The length of AC is 2.33 units.
Step-by-step explanation:
You have to use Tangent Rule, tanθ = opposite/adjacent :
[tex] \tan(θ) = \frac{oppo.}{adj.} [/tex]
Let oppo. = AC,
Let adj. = BC = 5,
Let θ = 25°,
[tex] \tan(25) = \frac{ac}{5} [/tex]
[tex]ac = 5 \tan(25) [/tex]
[tex]ac = 2.33 \: units \: (near.hundredth)[/tex]
If the temperature is 20c what is it in Fahrenheit.
Answers
Answer:
The answer is 68 degrees Fahrenheit.
Step-by-step explanation:
The equation to convert Celsius to Fahrenheit is (C × 9/5) + 32.
So, first we calculate Celsius times 9/5. 20×9/5 = 36.
Then, we add 36 and 32 together. 36+32= 68
So, 68 is your answer.
Solve the system of linear equations by graphing. Round the solution to the nearest tenth.
y = –0.25x + 4.7
y = 4.9x – 1.64
The approximate solution to the system is (
,
).
Answers
Answer:
The approximate solution to the system is (1.2, 4.4)
x = 1.2 and y = 4.4
Step-by-step explanation:
The solution of the system of linear equations equation y = –0.25x + 4.7 and y = 4.9x – 1.64 is shown in the attached graph. The red line represents the equation y = –0.25x + 4.7 and the blue line represents the equation = 4.9x – 1.64.
The solution of the system of equations is their point of intersection shown on the graph.
The point of intersection is (1.231, 4.392). To the nearest tenth, it is (1.2, 4,4). So x = 1.2 and y = 4.4.
So the approximate solution to the system is (1.2, 4.4)
What is the y-value when x equals -12.
Answers
Answer:
-128 it’s on the table
Step-by-step explanation:
HEY!HERE IS UR ANSWER:
So as x=-12
Well then y=-200-6(-12)
y=-200+72 {Positive 72 cause negative 6 * negative 12 equals positive 72}
y=-128
HOPE IT MAKES UR DAY BETTER!!
