The total cost of canvas required to make the tent at the rate of Rs. 15 per square meter is; Rs. 24,997
What is the area of a composite shape?We are told that the bottom part of the tent house is a square cuboid up to a height of 10 m.
Thereafter, it is a pyramid.
Now, formula for volume of a cuboid is;
V = lwh
V = 20 * 20 * 10
V = 4000 m³
Formula for volume of a pyramid is;
V = lwh/3
V = (20 * 20 * h)/3
V = 400h/3
Total volume is 4800 of the entire tent house. Thus;
4000 + (400h/3) = 4800
400h/3 = 800
h = (800 * 3)/400
h = 6 m
Now, from online calculation, the surface area of the pyramid excluding the base is;
TSA_p = 466.48 m²
Total surface area of cuboid excluding the top is;
S.A = 1200 m²
Total surface area of canvas = 1200 + 466.48 = 1666.48 m²
Since cost per sq.m is Rs. 15 per m², then;
Total cost = 15 * 1666.48
Total Cost = Rs. 24,997
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What is the sum of the polynomials? (6x+7+8^2) + (2x^2-3)
Answer:
2(x^2 + 3x + 34)
Step-by-step explanation:
(6x+7+8^2) + (2x^2-3)
= 6x + 7 + 64 + 2x^2 - 3
= 2x^2 + 6x + 68
= 2(x^2 + 3x + 34)
eleven more than twice x is 5 less than x.
Answer:
x= -2
Step-by-step explanation:
11+2x = 5 - x
6 = -3x
x = -2
The number of frogs in a pond doubles every 7 months. The pond started with 2 frogs. how many frogs will there be after 35 months?
Answer:
64 frogs
Step-by-step explanation:
After 7 months: 2 x 2 = 4
After 14 months: 4 x 2 = 8
After 21 months: 8 x 2 = 16
After 28 months: 16 x 2 = 32
After 35 months: 32 x 2 = 64
Mortimer got into his car and drove away. Exactly 1 hour later, his wife Deborah began to chase after him when she realized that he was probably sleepwalking again (sleep driving, that is). If Mortimer drove at 50 mph and Deborah drove along the same route at 75 mph, how many hours did it take Deborah to catch him? (ULx8.5)C OIx¿.D NORI DON abB0 Quiba 12BE WON
It took Deborah 2 hours to catch Mortimer.
Time calculationTo determine, if Mortimer drove at 50 mph and Deborah drove along the same route at 75 mph, how many hours did it take Deborah to catch him, the following calculation must be made:
75X = 50 + 50X75X - 50X = 5025X = 50X = 50 / 25X = 2Therefore, it took Deborah 2 hours to catch Mortimer.
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A scientist used 2 gallons of liquid for ever 7 hours he worked. He uses ------of a gallon each hour he works
Answer:
2/7
Step-by-step explanation:
2 ÷ 7 = 2/7 of a gallon each hour he works
The value y (in dollars) of a farm tractor x years after it is purchased is given by y=-6500x+80000.
a. Graph the Equation.
b. Interpret the slope and y-intercept.
A. Graph is in the picture
B. slope is -6500 and they-intercept is (0, 80000)
5 + 5 equals whaar ???
Answer:
Its 10
Step-by-step explanation:
5 + 5 = 10
Addition can be defined as the process of adding two numbers. The sum of 5 and 5 is 10.
What is Addition?Addition can be defined as the process of adding two numbers such that the result is the combined value of the two numbers.
Given that we need to add 5 and 5. This can be simply understood with the help of an example. One hand has 5 fingers and as we need to add the 5 and 5 therefore, we need to add the number of fingers in the two hands which is equal to 10. therefore, we can write it as,
[tex]5 + 5 =10[/tex]
Hence, the sum of 5 and 5 is 10.
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Find the solution of the system of equations.
2x+5y=-11
-8x-5y= -1
Answer:
x = 2 , y = -3
Step-by-step explanation:
by elimination method
+5y in equation 1 cancel -5y in equation 2
2x - 8x = -11 - 1
-6x = -12
divide both sides by - 6
- 6x/ -6 = -12/-6
x = 2
substitute x = 2 into equation ii
- 8 (2) - 5y = - 1
- 16 - 5y = - 1
collect like terms
- 5y = -1 + 16
- 5y = 15
divide both sides by -5y
-5y/-5y = 15/-5y
y = - 3
Which statement about quadrilateral LAMB is true?
Quadrilateral LAMB is a parallelogram because opposite sides are parallel.
QuadrilateralA quadrilateral is a polygon with four sides and four angles. Types of quadrilaterals are square, rectangle, kite, parallelogram, rhombus and so on.
A parallelogram is a quadrilateral in which opposite sides are opposite and parallel to each other.
Quadrilateral LAMB is a parallelogram because opposite sides are parallel.
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please help I will give 20 points
Answer:
C.) 8
Step-by-step explanation:
[tex]11- (1/2)^4 x 48 = 11- 1/16 x 48= 11-3= 8[/tex]
change 4 and 3/5 to an improper fraction
Answer:
The answer is 23/5, or 23 over 5.
Step-by-step explanation:
4 and 3/5
Multiply the denominator by the whole number and add the numerator, all over the original denominator to calculate the improper fraction.
20 + 3 over 5
Given f (g (x)) = x + 4 and f (x) = 3x + 5, find g (x).
Answer:
g(x) = [tex]\frac{1}{3}(x - 1) = \frac{x}{3} - \frac{1}{3}[/tex]
Step-by-step explanation:
f(x) = 3x + 5
f[g(x)] = 3[g(x)] + 5
⇒ 3[g(x)] + 5 = x + 4
⇒ 3[g(x)] = x + 4 - 5
⇒ 3[g(x)] = x - 1
⇒ g(x) = [tex]\frac{1}{3}(x - 1) = \frac{x}{3} - \frac{1}{3}[/tex]
Luke is 5 feet 11 inches and weighs 170 pounds. Using the body mass index chart as a guide, under which category would he fall? A. Underweight B. Normal C. Overweight D. Obese Please select the best answer from the choices provided. A B C D.
Answer:
Normal
Step-by-step explanation:
If your BMI is less than 18.5, it falls within the underweight range. If your BMI is 18.5 to 24.9, it falls within the normal or Healthy Weight range. If your BMI is 25.0 to 29.9, it falls within the overweight range. If your BMI is 30.0 or higher, it falls within the obese range.
Answer:
The answer is B
Step-by-step explanation:
Took The Test
At a certain restaurant, 8 sandwiches and 10 burritos will cost $123.40. In addition, 5 sandwiches
and 9 burritos cost $97.20. Assuming that we are talking about the same sandwiches and burritos,
what is the cost of 1 sandwich? What is the cost of 1 burrito? Let x represent the cost of a
sandwich and y represent the cost of a burrito
Equation #1:
Equation #2:
Cost of 1 burrito:
Cost of 1 sandwich: $
Answer:
Equation 1: 8x + 10y = 123.4
Equation 2: 5x + 9y = 97.2
cost of a burrito = $7.30
cost of a sandwich = $6.30
Step-by-step explanation:
Let x = cost of a sandwich
Let y = cost of a burrito
Equation 1: 8x + 10y = 123.4
Equation 2: 5x + 9y = 97.2
Rewrite equation 1 to make y the subject, then substitute into equation 2 and solve for x:
8x + 10y = 123.4
⇒ 10y = 123.4 - 8x
⇒ y = 12.34 - 0.8x
5x + 9(12.34 - 0.8x) = 97.2
⇒ 5x + 111.06 - 7.2x = 97.2
⇒ 13.86 = 2.2x
⇒ x = 6.3
So cost of a sandwich = $6.30
Substituting x = 6.3 into equation 2 and solving for y:
5(6.3) + 9y = 97.2
⇒ 31.5 + 9y = 97.2
⇒ 9y = 65.7
⇒ y = 7.3
So cost of a burrito = $7.30
Answer:
8x + 10y = 123.40
5x + 9y = 97.20
OR
40x + 50y = 617
-40x - 72y = -777.6
x = $6.30
y = $7.30
Step-by-step explanation:
we can write this system of equations:
8x + 10y = 123.40
5x + 9y = 97.20
using the 'elimination method', we can multiply the first equation by 5 and the second equation by -8 to get:
5(8x + 10y) = 123.4(5)
40x + 50y = 617
-8(5x + 9y) = 97.2(-8)
-40x - 72y = -777.6
now we can add the new equations and solve for 'y':
40x + 50y = 617
-40x - 72y = -777.6
-22y = -160.6
y = 7.30
now we can substitute 7.3 for 'y' so we can solve for 'x':
8x + 10(7.3) = 123.4
8x + 73 = 123.4
8x = 50.4
x = 6.30
solve these problems
43+(-56) minus 78
-78 minus 65
-19 minus 4
-16 + 9
71 + (-18)
Answer:
Step-by-step explanation:
1. 43+(-56) - 78
43 - 56 - 78 = -91
2. -78 - 65 = -143
3. -19 - 4 = -23
4. -16 + 9 = -7
5. 71 + (-18)
71 - 18 = 53
Hope this helps!
Answer:
Step-by-step explanation:
43+(-56)minus 78= negative 91
43+-56= - 13 13-78= negative 91
-78 subtract 65=143 because when your in negatives it is opposite so when you subtract it is addition so what is -30 add 50=20. So what is -78 subtract 65=143
-19 subtract 4 =-23 because like I said in negatives it's opposite.
-16+9=7.
And last 71 + -18=53 because it is subtracting 18 since it is negatives.
Hope it helps :)
hi who can help me do this 2quetion,I will mark brainlest
Step-by-step explanation:
[tex]8. log_{10}(2.15) = 0.332 \: then \: log_{10}(21500) = ..... \\ log(21500) = log(2.15 \times 10000) \\ = log(2.15) + log(10000) \\ = log_{10}(2.15) + log_{10}( {10}^{4} ) \\ = 0.332 + 4 log_{10}(10) \\ = 0.332 + 4(1) \\ log_{10}(21500) = 4.332[/tex]
9. log(2)=a, log(3)=b, then log(36)=______
log(36) = log(6*6) = log(6) + log(6)
log(36)= log(6) + log(6)
log(36) = log(3*2) + log(3*2)
log(36) = (log(3) + log(2)) + (log(3) + log(2))
log(36) = (a + b) + (b + a)
log(36) = a + b + b + a
log(36) = 2a + 2b
Answer:
4.3324384599
or you can just round it to 4.332
Robyn saves $204 and spends $32.50 on books. She wants to purchase more books from a sale where they cost $8.15 each.
Which answer gives the best estimate for the number of books Robyn can buy?
88
2121
192192
200
Answer:
21 books
Step-by-step explanation:
Subtract $32.50 from her total savings:
$204 - $32.50 = $171.50
Divide the remaining money by the cost for each book from the sale:
$171.50 / $8.15 = 21.0429448
Round:
21 books
A builder needs three pipes of different lengths. The pipes are feet long, feet long, and feet long. How many feet of piping is required in all? (Hint: Try dividing each radicand by 6. ) feet feet feet feet.
All the square root term are equal then they can be added. Then the length of piping is needed in all is 98√6.
What is the length?It is the measure of distance between the two points is called a length. It is a scalar quantity.
A builder needs three pipes of different lengths.
The pipes are 6√96 feet long, 12√150 feet long, and 2√294 feet long.
The length of pipes can be written as
[tex]6\sqrt{96} = 6 \sqrt{2*2*2*2*2*3} = 24\sqrt6[/tex]
[tex]12\sqrt{150} = 12 \sqrt{5*5*6} = 60\sqrt6[/tex]
[tex]2\sqrt{294} = 2 \sqrt{6*7*7} = 14\sqrt6[/tex]
Since all the square root term are equal then they can be added.
[tex]24 \sqrt{6} + 60 \sqrt{6} + 14\sqrt{6}\\\\98\sqrt{6}[/tex]
Thus, the length of piping is needed in all is 98√6.
More about the lenght link is given below.
https://brainly.com/question/8552546
Answer:
98 sqrt 6
Step-by-step explanation:
Jesus told me
An angle measures 36° less than the measure of its supplementary angle. What is the measure of each angle?
Answer:
Measure of each angle is 108 and 72 degrees.
Step-by-step explanation:
Let's the angle be "n"
Supplementary angle = 180 °
n- (180-x) = 36
n - 180 + n = 36
Combine like terms
n - 180 + n = 36
2n - 180 = 36
Add 180 to both sides of the equation
2n - 180+180 = 36+180
Simplify
2n = 216
Divide both sides of the equation by the same term
2n/2 = 216/2
Simplify
n = 108
2n = 216
Measure of each angle
1st = 108
2nd = 180-108 = 72
[RevyBreeze]
Answer:
An angle measures 36° more than the measure of its supplementary angle. What is the measure of each angle?
Step-by-step explanation:
Let's the angle be "n"
Supplementary angle = 180 °
n- (180-x) = 36
n - 180 + n = 36
Combine like terms
n - 180 + n = 36
2n - 180 = 36
Add 180 to both sides of the equation
2n - 180+180 = 36+180
Simplify
2n = 216
Divide both sides of the equation by the same term
2n/2 = 216/2
Simplify
n = 108
2n = 216
Measure of each angle
1st = 108
2nd = 180-108 = 72
Please help I need this please help please just me help
Answer:
It would take 4 minutes.
Step-by-step explanation:
Step 1: divide 63 by 3 to get how many hotdogs the champion can eat in a minute which equals 21
Step 2: Divide 84 by 21 to get 4 minutes
In the diagram, the measure of angle 3 is 105°.
A
1/2
4/ 3
5 6
8 7
Which angle must also measure 105?
041
O24
Answer:
<6
Step-by-step explanation: The total should be 180 and its common sense to know that measure <5 is not 105 degrees
So I'm trying to answer these problems but decimals aren't my strong suit
These are the questions
a - 2.01 = 5.5
b + 2.01 = 5.5
10c = 13.71
100d = 13.71
Answer:
number 1 is a - 2.01 = 5.5 and the answer is a=7-51
number 2 is b + 2.01 = 5.5 and the answer is b=3.49
number 3 is 10c = 13.71 and the answer is c=1.371
number 4 is 100d = 13.71 and the answer is d=0.1371
Step-by-step explanation:
Sarah wrote the whole numbers from 1 to 85 on a sheet of paper. How many times did Sarah write the digit 7?
Answer:
18
Step-by-step explanation:
7, 17, 27, 37, 47, 57, 67
70, 71, 72, 73, 74, 75, 76, 77, 78, 79
Last week, Lisa's Fruit Stand sold 1/3 of a box of kiwis. Down the road, Dave's Fruit Stand sold 3 times as many boxes of kiwis as Lisa's did. How many boxes of kiwis did Dave's Fruit Stand sell?
PLEASE AWNSER WILL GIVE BRAINLIEST TO FIRST RESPONDER
Multiply the amount Lisa’s fruit stand sold by the amount more Daves fruit stand sold:
Daves fruit stand sold 3 times more:
3 x 1/3 box = 3/3 = 1 box
Answer: 1 box
Dave sold
[tex]\\ \tt\hookrightarrow 3(1/3)=3/3=1box[/tex]
Please answer this correctly
Thank you
percentage is a ratio of a number or fraction to 100
percentage =per(every) + cent (100)
per cent = per 100
1. 63 % = 63 /100 = 0.63
2. 9 % = 9/100 = 0.09
3. 152 % = 152/100 = 1.52
If Mr. John plans to replace the carpet in his living room AND bedroom with carpet that cost $2.00 per square foot, how much will it cost to replace it if there are no other charges?
Answer:
1496
Step-by-step explanation:
A = lw
22 x 16 = 352 ( bedroom)
22 x 18 = 396 (living)
352 + 396 = 748
748 x 2 = 1496
hope this helps
pls mark brainliest
Find the measure of AD
Answer:
x=6
Step-by-step explanation:
triangles CDB and ADB are equal so we know that CD=AD and can write this equation:
3x+5 = 5x-7
subtract '3x' from each side:
5 = 2x-7
add 7 to each side:
12 = 2x
12/2 = x
6=x
please answer correctly
Step-by-step explanation:
BF is parallel to CG, DH
so here the ans is choice 1
Answer:
BF is parallel to none of the options.
Step-by-step explanation:
What are the steps to solve (5xy^3)^2(xy)^4?
Answer:
[tex]25x^6y^{10}[/tex]
Step-by-step explanation:
[tex](5xy^3)^2(xy)^4\\\\5^2*x^2*(y^3)^2*x^4*y^4\\\\25*x^{2+4}*y^{3*2}*y^4\\\\25*x^6*y^6*y^4\\\\25x^6*y^{6+4}\\\\25x^6y^{10}[/tex]
Remember to use your exponent rules
Hi!
Given:
[tex](5xy^3)^2(xy)^4[/tex]
Distribute the exponent:
[tex]5^2x^2y^6 * x^4y^4[/tex]
Multiply like terms (add the exponents to do it):
[tex]25x^6y^[/tex]^10
For more information on how to solve these types of questions, see:
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Radio direction finders are placed at points A and B, which are 4.44 mi apart on an east-west line, with A west of B. The transmitter has bearings 39.3 degrees from A and 313.9 degrees from B. Find the distance from A.
Answer:
3.09 miles
Step-by-step explanation:
Given one distance and two angles, we will need to use the Law of Sines. For this, we need to know the internal angles of the triangle formed by the various bearing lines.
The angle between the bearings of A and B from the transmitter will be the difference of the reverse of the given bearings.
A from T = 39.3° +180° = 219.3°
B from T = 313.9° -180° = 133.9°
Then the angle at T between receivers is ...
219.3° -133.9° = 85.4°
The angle between A and T as measured at B will be ...
313.9° -270° = 43.9°
These angles and length AB can be used with the Law of Sines to find AT:
AT/sin(B) = AB/sin(T)
AT = AB(sin(B)/sin(T)) = (4.44 mi)·sin(43.9°)/sin(85.4°)
AT ≈ 3.09 mi
The distance of the transmitter from A is about 3.09 miles.