EMERGENCY Linda’s adding padding to all the surface inside her attic for extra warmth in the winter she needs to find the approximate surface area of the attic including walls floors and ceilings the attic is in the shape of a triangular prism Linda draws the net and writes the expression below to represent the surface area of the attic Are Linda’s net and expression correct?
Answers
Answer:
4350
Step-by-step explanation:
Linda's net and first term of the expression is correct and the surface area of the attic is 4425 square feet.
What is Surface Area?The area of a three dimensional object on it's outer surface is called the surface area of the object.
Given the attic of Linda's home.
Attic is in the shape of triangular prism.
The net that Linda drawn is correct since she expresses all the measurements right in the net.
So, the net Linda drew is correct.
We can find the surface area from the net of the prism.
Net of the prism consists of 2 identical triangles, 2 identical rectangles and a rectangle.
Area of triangle is [tex]\frac{1}{2}[/tex] × base × height and that of rectangle = length × width
Area of 2 triangles = 2 × [tex]\frac{1}{2}[/tex] × 25 × 15 = 25 × 15
Area of rectangles = (45 × 40) + (45 × 25) + (45 × 25)
= 45(40 + 25 + 25)
Total surface area = 45(40 + 25 + 25) + (25 × 15)
The first term of Linda's expression, 45(40 + 25 + 25) is correct.
The second term of Linda's expression, ([tex]\frac{1}{2}[/tex] × 25 × 15) is not correct.
Surface area of the attic = 45(40 + 25 + 25) + (25 × 15)
= 4425 square feet
Hence the surface area of the attic is 4425 square feet.
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The complete question is given below.
Related Questions
The classic 60° triangle has a hypotenuse of length 2, an opposite side of length √3 and an adjacent side of length 1....find the value of Cos(60°)
Answers
Answer:
The trigonometric values for cos are C = A/H, which means that to find cos(60), you need to divide the adjacent side by the hypotenuse, which in this case gives you 1/2, so that is the value of cos(60).
I hope this helps!
Step-by-step explanation:
Write down step by step the process that you use
to solve multiplying a fraction by an integer.
Answers
Answer:
you place the 1 under the integer and follow the steps keep change it flip it . SO basically you keep the integer and the 1 and you change the sign to division and you place the numerator where the denominator is and the denominator goes where the numerator is.
Step-by-step explanation:
What is the solution to the inequality 7<=-3x-4
Answers
Answer:
The nearest option is -3 (negative 3)
So, Option B is correct.
Step-by-step explanation:
We need to solve the inequality [tex]7 \leq -3x-4[/tex]
Solving:
Step 1: Switching sides of inequality and reversing the inequality
[tex]-3x-4\geq 7[/tex]
Step 2: Adding 4 on both sides
[tex]-3x-4+4\geq 7+4\\-3x\geq 11[/tex]
Step 3: Dividing both sides by -3 and reversing the inequality
[tex]\frac{-3x}{-3}\leq \frac{11}{-3} \\x\leq -3.6\\[/tex]
The nearest option is -3 (negative 3)
So, Option B is correct.
Write a integer for each situation. Explain the meaning of zero in each situation.
1. 3 miles below sea level
2. Earning $45
Answers
"earning 45 dollars" can be written as +45 or simply 45. If you lost 45 dollars, then it would be -45. If you are in debt 45 dollars, then it would be -45.
A motorboat moves across a lake. It begins at 50km from shore after 9 minutes it is 14 km from shore. What’s it’s distance from shore in a function
Answers
Answer:
List all of the solutions.
50 k m =
9 m i n u t e s =
14 k m =
Step-by-step explanation:
Answer:
y = -4x + 50
Step-by-step explanation:
To write the function we'll use y = mx + b, where y is the distance the boat is away from shore, m is how many km/minute the boat moves at, x is how many minutes it's been, and b is how many km away from shore the boat was at the start. We already know the value of b is 50, so we can put that into the equation:
y = mx + 50
To find how many km the boat moves per minute, let's use the given amount of minutes and km (9, 14) and put them into the equation:
14 = m(9) + 50
Now let's solve for m:
14 = 9m + 50
Subtract 50 from both sides to isolate the 9m:
14 - 50 = 9m + 50 - 50
- 36 = 9m
divide both sides by 9 to isolate the m:
-36/9 = 9m/9
-4 = m
The boat moves at -4 km/minute, which is the same thing as saying that after 1 minute passes, the boat gets 4km closer to the shore. Now we can input this value into the equation and we have our answer:
y = -4x + 50
6th grade math I mark as brainliest
Answers
Answer:
false
Step-by-step explanation:
Exponents is basically that number multiplied by itself however many times the number on top is , so lemme just give a quick example, [tex]7^4[/tex] would be 7*7*7*7=2401
so
[tex]16^1[/tex] would just be sixteen because any number to the power of 1 is that number
[tex]8^2[/tex] is 8*8 which gives us 64,
16 does not equal 64, so its
False
Pls help ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! pls
Answers
5x-6y=-4
-6x+6y=-6
solve using elimination
HELP.
Answers
Answer:
x=10 y=9
Step-by-step explanation:
pls help :( plssss plsss pls
Answers
Answer:
you can alwayd use desmos for graphing
What is the value of a for the following circle in general form?
X^2+y^2+ax+by+c=0
Answers
Answer:
ANSWER: 8 A_P_E_X
Step-by-step explanation:
Plug the radius and the center point into the equation, and convert it to general form to get your answer.
The value of a is 4.
What is the standard equation of a circle?The standard equation of a circle is given by
(x -h)² + (y-k)² = r²
The equation given is
x² + y² +ax +by +c = 0
a = -h * 1
(h,k) represents the coordinate for the center of the circle
h = -4 , k =2
a = -(-4) *1 = 4
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What is the slope of the line represented by the equation 3x+4y=12?
Answers
Answer:
-3/4
Step-by-step explanation:
3x+4y=12
-3x -3x
4y=-3x+12
÷4 ÷4
y=-3/4x+12
Answer:
-3/4 or -0.75
Example:
The completely factored form of z^5 + 4z^4 - 12z^3
Answers
Answer:
−108z 5−64z 3+3z 2−24z−384/6
Step-by-step explanation:i just looked it up.
If you have 3 cups of pineapple juice, how many total cups of lunch can you make?
Answers
A store offers different brands of a product. It decides to eliminate the brand
that is most likely to be returned. The table shows the number of items of
each brand that were returned over the past year and the total sold.
Returns
Total sold
Brand A
33
685
Brand B
15
492
Brand C
29
361
Brand D
31
766
Which brand should the store eliminate?
O A. Brand B
O B. Brand D
O C. Brand C
O D. Brand A
Answers
Answer: They should eliminate Brand C
Step-by-step explanation:
You need to divide the total returns by the total sold to which Brand has the greatest percentage returned.
The brand that the store should eliminate out of the 4 given brands using the data in the table is; Brand C
How to Solve Percentage Problems?To find the brand that the store should eliminate we need to find the percentage of sold items that were returned and pick the highest percentage as the brand the store should eliminate.
Brand A percentage = [tex]\frac{33}{685}[/tex] × 100 = 4.81%
Brand B percentage = [tex]\frac{15}{492}[/tex] × 100= 3.04%
Brand C percentage = [tex]\frac{29}{361}[/tex] × 100 = 8.03 %
Brand D percentage = [tex]\frac{31}{766}[/tex] × 100 = 4.04%
Brand C has the highest percentage and as such it is the brand that should be eliminated.
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Help meeeeeee! If it’s correct you will get a something good!
Answers
Answer:
24/4=6
Step-by-step explanation:
In the model, there are 4 rows of 6 blocks. 24 total blocks divided by the 4 rows gives you six objects in each row.
HTH :)
Point Q' is the image of Q(-7,-6) under the translation (x, y) + (x+12, y + 8).
What are the coordinates of Q'?
Answers
Answer:its b
Step-by-step explanation:i took the test
2) f(x) = 27x^6+ 1524x^3+125
Answers
Answer:
Step-by-step explanation:
Let x^3 = y
f(x) = 27(x^3)^2 + 1524(x^3) + 125
f(x) = 27 y^2 + 1524y + 125
You can now put this into the quadratic formula. When you do, you get
(y + 0.0821)(y+56.3623) = 0
So now you substitute x^3 into this
(x^3 + 0.0821)(x^3 + 56.3623)
x^3 + 0.0821 = 0
x^3 = - 0.0821
cuberoot x^3 = cube root 0.0821
x = - 0.4346
x^3 = - 56.3623
x = - 3.8341
On a coordinate plane, point B is at (negative 5, 2). B is located at (−5, 2). If B is reflected across the y-axis, the coordinates will be . If B is reflected across the x-axis, the coordinates will be .
Answers
Answer:
the anwser is (5,2) and (-5,-2)
Step-by-step explanation:
Pi times 2444.57 divided by 344.5=?
Answers
Answer:
I think 22.2814177
Step-by-step explanation:
I used 3.14 that's what my teachers tell me to use sorry if it's wrong
Answer: 22.2927232313
Step-by-step explanation: *Pi = 3.14159265359
*3.14159265359 x 2444.57 = 7,679.84315319
*7,679.84315319 ÷ 344.5 = 22.2927232313
Hence, 22.2927232313 = 3.14159265359 x 2444.57 ÷ (344.5)
How many oz. of a metal containing 40%
gold must be combined with 7 oz. of a
metal containing 90% gold to form an
alloy containing 75% gold?
Answers
Answer:
3 oz
Step-by-step explanation:
Let x represent the number of oz. of the medal with 40% gold:
Set up an equation and solve for x:
0.4x + 7(0.9) = 0.75(x + 7)
0.4x + 6.3 = 0.75x + 5.25
6.3 = 0.35x + 5.25
1.05 = 0.35x
3 = x
So, you will need 3 oz. of the metal with 40% gold
Find the value of X. Geometry!!!
Answers
Answer:
D. 19
Step-by-step explanation:
x+5 has to equal half of the base(3x-9)
I tried everything else. Those answers didn't work. 3*19-9=48 and 19+5=24
48/2=24 Therefore, the answer is D, 19
8.9 x 7 can u solve it with work shown
Answers
Answer:
62.3
Step-by-step explanation:
6
8.9
*7
____
62. 3
I tried to show how to do it but carry the 6 at the top
Answer:
64 (I rounded btw)
Step-by-step explanation:
8.9 × 7 = ??
1. Round 8.9
2. 8.9 can be rounded to 9
3. change equation
4. 9×7= 63
Thus, your answer is 63
(If your supposed to do the math differently tell me and I'll correct it)
If a snail travels at a rate of of a mile every of an hour,
what is the unit rate in miles per hour?
Answers
Answer:
1mph or 1 mile per hour
Step-by-step explanation:
simple
Example 3.7.4: The sum of two positive numbers is 16. What is the smallest possible value of the sum of their squares
Answers
Answer:
The smallest possible value of the sum of their squares is 128.
Step-by-step explanation:
Let the first number = x
let the the second number = y
x + y = 16
y = 16 -x
minimum value, f = x² + y²
f(x) = x² + (16-x)²
f(x) = x² + 256 - 32x + x²
f(x) = 2x² - 32x + 256
f(x)' = 4x - 32
4x - 32 = 0
4x = 32
x = 32 / 4
x = 8
The absolute minimum value of x = 8
y = 16 - x
y = 8
The smallest possible value of the sum of their squares is given by x² + y²;
= (8)² + (8)²
= 128
Therefore, the smallest possible value of the sum of their squares is 128.
Find the value of x. Then, find the measure of each labelled angle.
x=_
(7x+10)°=_
(15x+16)°=_
Answers
Answer:
x = 7deg
Step-by-step explanation:
7x + 10 + 15x + 16 = 180 (angles adjacent to each other in a //polygon are supplementary)
22x = 154
x = 7deg
This is a question on polygons and angles. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)
Given: △ABD cong △CBD. Find each value. (#6)
Answers
Answer: m<C= 31
Step-by-step explanation:
To find m<C: Since the triangles are equal, we know that (4x+10) is equal to 90. Then when you put them equal to each other and solve for x you get X=20. Then all you have to do is plug that x value (20) into the equation for the angle of C (x+11). Then you get that C=31 degrees.
7 large tanks and 40 fish in each tanks how many fish on display
Answers
Answer:
280
Step-by-step explanation:
All you have to do is 7x4 and look for how many 0's there are in the equation and add them on.
Help please ASAP will mark brainliest!!
Answers
Answer:
y=4x-7
Step-by-step explanation:
y=4x+6 (1,-3)
y=mx+b
m= 4 (1,-3)
y-(-3)=4(x-1)
y+3=4x-4
-3 -3
y=4x-7
geometry is experienced that in the early childhood setting through
Answers
playing with blocks??
FIRST TO HELP IS BRAINLIEST
Answers
Answer:
(0,2)
Step-by-step explanation: