The scale for the diagram is 1/4inch = 6 feet. What is the actual length of the house represented by the drawing ? A 18.0 B 19.5 C 78.0 D 84.0
Answers
Answer:
84
Step-by-step explanation:
The ruler indicates that the house is 3 1/2 inches.
Every 1/4 = 6 ft
1/2 = 2/4
2 times 1/4
2/4=12
3 = 12/4
12 times 1/4 = 3
12 times 6 = 72
72 + 12= 84
...........................................
Related Questions
write the inequality shown by the shaded area
Answers
Answer: y≤ [tex]\frac{7}{3}x+2[/tex]
Step-by-step explanation:
Since we are given the equation, all we have to do is to fix the inequality. We have four options: <, >, ≤, and ≥. The line in the graph is a solid line. This means the line reaches and is equal to the points on the line. We can automatically eliminate ≤ and ≥. Now, we know the answer is ≤. The shading shows that the answer is less than 7/3x+2. In other words, y≤ [tex]\frac{7}{3} x+2[/tex].
Which equation is true if the perimeter of the rectangle is 60? A rectangle with a length of 3 x minus 2 and width of x + 5. x + 5 = 3 x minus 2 (x + 5) + (3 x minus 2) = 60 2 (x + 5) + 2 (3 x minus 2) = 60 2 (3 x minus 2) minus 2 (x + 5) = 60
Answers
Answer: 2 (x + 5) + 2 (3 x minus 2) = 60
Step-by-step explanation:
Hi, to answer this question we have to analyze the information given:
Length = 3 x minus 2
Width = x + 5.
Since:
Perimeter of a rectangle = 2 length +2 width
Replacing with the values given:
60 = 2 ( x+5)+ 2 (3x minus 2 )
So, the correct option is:
2 (x + 5) + 2 (3 x minus 2) = 60
Feel free to ask for more if needed or if you did not understand something.
The correct one is option C.
Good luck!!!
Which of the following represents a rotation of △LMN, which has vertices L(−7,7), M(9,9), and N(5,−5), about the origin by 90°?
Answers
Answer:
L'(-7, -7), M'(-9, 9), and N'(5, 5)
Step-by-step explanation:
Assuming you mean 90° counterclockwise, you would use the formula: A(x,y) becomes A'(-y,x)
so L'(-7, -7), M'(-9, 9), and N'(5, 5)
The question was incomplete. Please check below the full content.
Which of the following represents a rotation of ΔLMN. which has vertices L (-7,7), M (9,9), and N(5, -5) about the origin by 90°?
a) L(-7, -7) M(-9. -9) N(5, 5)
b) L(-7. -7) M(-9. 9) N(5, 5)
c) L(-7, -7) M(-9, 9) N(5, -5)
d) L (7, -7) M(9, 9) N(-5, 5)
The rotation of the vertices L (-7,7), M (9,9), and N(5, -5) are
L'(-7,-7), M'(-9,9) and N'(5,-5) respectively.
Rotation of a point :
The rotation of a point (x,y) about the origin by 90° is (-y,x).Given vertices of ΔLMN are L(-7,7), M(9,9), and N(5, -5)Let the rotations of L, M, and N are L', M', and N' respectively.
The rotation of a point L(-7,7) about the origin by 90° is (-7,-7).The rotation of a point L(9,9) about the origin by 90° is (-9,9).The rotation of a point L(5,-5) about the origin by 90° is (5,-5).Hence L'(-7,-7), M'(-9,9), and N'(5,-5) are the rotation of vertices
L, M, and N of ΔLMN about the origin by 90°.
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Please help answer! It’s due today!
Answers
Side PQ corresponds to side TS. 9/7 is roughly 1.29, which would make that its scale factor. (I’m dividing because when side lengths are proportional, there is a specific value, the scale factor, that you can multiply or divide by to find the unknown side length of a corresponding side). Side QR corresponds to side UT. 15/10 is 1.5, thus making that the scale factor between these two sides. Finally, we see that side PR corresponds to side US. 12/8 is 1.5, making the scale factor between those two sides 1.5. Although two pairs of corresponding sides have the same scale factor, the same cannot be said for the third pair of corresponding sides. In order for the triangles to be similar, the scale factor should remain constant between each corresponding side, therefore, the triangles are not similar.
For number 6, since you are only given the side lengths, you would not be able to use the AA (Angle-Angle Similarity Theorem), or SAS (Side-Angle-Side Similarity Theorem). The calculations are shown below:
PQ~TS: 9/6= 1.5
QR~UT: 15/10= 1.5
PR~US: 12/8= 1.5
The scale factor for each pair of corresponding sides is congruent, proving that the triangles are proportional, making them similar.
Answer:
need thiss
Step-by-step explanation:
Solve and graph |-8x|<8 help me lol
Answers
Step-by-step explanation:
|-x|<1 --> -1<-x<1 --> -1<x<1
so the graph is the striped part
Two students use different methods to solve this multiplication problem: 1/2 • -4 4/5 Read each of their methods below and then enter numbers to correctly complete their work.
Answers
Answer:
-2 2/5
Step-by-step explanation:
Barbara's method:
[tex]\frac{1}{2}*-4\frac{4}{5}=\frac{1}{2}*\frac{-24}{5}=\frac{-12}{5}=-2\frac{2}{5}\\[/tex]
Christopher's method:
[tex]\frac{1}{2}*-4\frac{4}{5}=\frac{1}{2}*(-4+\frac{-4}{5})=\frac{1}{2}*-4+\frac{1}{2}*\frac{-4}{5}=-2+\frac{-2}{5}=-2\frac{2}{5}\\[/tex]
Find the perimeter of the shaded region. Round your answer to the nearest hundredth.
Answers
Answer:
20.56 units.
Step-by-step explanation:
Perimeter of the shaded region is the sum of all straight sides and all 4 arcs.
Perimeter of 4 straight sides [tex]=4\times 2=8\text{ units}[/tex]
Perimeter of a arc [tex]=\dfrac{1}{4}\times 2\pi r[/tex]
Perimeter of 4 arcs [tex]=4\times \dfrac{1}{4}(2\pi r)=2\pi r[/tex]
Here, r is the radius. So,
[tex]r=\dfrac{6-2}{2}=\dfrac{4}{2}=2[/tex]
Perimeter of 4 arcs [tex]=2(3.14)(2)=12.56[/tex]
Perimeter of the shaded region = Perimeter of all straight sides + Perimeter of all 4 arcs
[tex]=8+12.56[/tex]
[tex]=20.56\text{ units}[/tex]
Therefore, the perimeter of the shaded region is 20.56 units.
Show all work to solve 3x^2-5x-2=0
Answers
Answer:
The roots are {2, -1/3}
Step-by-step explanation:
The coefficients of this quadratic function are a = 3, b = -5 and c = -2.
Let's use the quadratic formula to find the roots of the given 3x^2-5x-2=0.
The discriminant is b^2 - 4(a)(c), or (-5)^2 - 4(3)(-2), or 25 + 24 = 49.
Thus, the roots are:
-(-5)±√49 5 ± 7
x = ---------------- = ------------ = 2 and -1/3
2(3) 6
•Multiply the coefficient of the first term by the constant term.
3 x -2 = -6
•Ask: Which two numbers add up to -5 and multiply to -6?
1 and -6
•Split -5x as the sum of and –6x.
3x2 + x – 6x – 2
2) Factor out common terms in the first two terms, then in the last two terms.
x(3x+1)-2(3x+1)
3) factor out the common term 3x+1.
(3x+1)(x-2)
What does it mean to make connections when comparing and contrasting? (10 points)
Answers
Answer:
When making connections using compare and contrast, you should look for hidden similarities and differences. Compare/contrast aims to show all the necessary information or details that makes a topic or an object similar of different. Therefore, you should not only state the obvious, but also cite.
*DIFFICULT QUESTION, PLS ANSWER* Wrapping paper costs $0.045 per square inch. If a moving box that is an 5.5 inch cube is being wrapped, how much would the wrapping paper for this box cost (rounded to the nearest dollars and cents)?
Answers
Answer:
$8.17
Step-by-step explanation:
I got it correcty on the test.
The costs $0.045 per square inch will be $8.17. Then the correct option is B.
What is the surface area of the cube?Let the length of the cube be a.
Then the surface area of the cube will be
SA = 6a²
If a moving box that is an 5.5 inch cube is being wrapped.
Then the surface area of the cube will be
SA = 6 x (5.5)²
SA = 181.5 square inches
Then the costs $0.045 per square inch will be
Total cost = 181.5 x 0.045
Total cost = $8.1675 ≈ $8.17
Then the correct option is B.
More about the surface area of the cube link is given below.
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The assessed value of a property is $ 16,000. If the tax rate is
$8/$100 of value, what is annual tax for the property?
Answers
Answer: 1280 dollars
Step-by-step explanation:
Given that the assessed value of a property is $ 16,000.
If the tax rate is $8/$100 of value. That is, 8 dollars in every 100 dollars.
Divide both value of the property by 100.
16000/100 = 160 dollars
Then, multiply it by 8 dollars
8 × 160 = 1280 dollars
The annual tax for the property is therefore, 1280 dollars.
OR
First find the rate or percentage of the tax which will be:
8/100 = 8%
Find the 8% of the value of the property which is 16000 dollars
8/100 × 16000 = 1280 dollars
Two trains leave the station at the same time, one heading east and the other west. The eastbound train travels at 85 miles per hour. The westbound train
travels at 75 miles per hour. How long will it take for the two trains to be 192 miles apart?
Do not do any rounding.
Answers
Answer:
It will take 1 hour and 12 minutes for the two trains to be 192 miles apart
Step-by-step explanation:
The total distance between the two trains is the distance traveled by both trains. The distance traveled by the eastbound train is 85 mph * elapsed time and the distance traveled by the westbound train is 75 * elapsed time.
The combined formula is distance traveled = speed of first train * elapsed time + speed of second train * elapsed time.
Since the elapsed time is equal for both trains then the formula is modified as distance traveled = (speed of first train + speed of second train) * elapsed time.
Solving for the elapsed time
distance traveled = (speed of first train + speed of second train) * elapsed time
192 miles = (85mph + 75 mph) * elapsed time
192 miles = 160 mph * elapsed time
elapsed time = 192 miles / 160 mph
elapsed time = 1.2 hours
elapsed time = 1 hour and 12 minutes
It will take 1 hour and 12 minutes for the two trains to be 192 miles apart.
Cecil is replacing lightbulbs in the office where he works. When he started, he had x boxes of lightbulbs with 2 bulbs in each box. After replacing 16 lightbulbs, he has at least 12 bulbs left. Which inequality represents the number of boxes of lightbulbs Cecil started with? How many boxes of lightbulbs is that?
The inequality represents the number of boxes of lightbulbs that Cecil started with.
Cecil had boxes of lightbulbs when he started.
Answers
Answer:
If we add the Replaced, the Left, that would be 28 LB, 14 boxes.
Answer:
at most or at least
Step-by-step explanation:
Drag the tiles to the correct boxes to complete the pairs.
Match the subtraction expressions with their answers,
1
2
1
a203 ad
1
ad2438
2.
2383a203
adora
aaga
a2b
a282
gბებ
2 - ab
a288
Answers
his is confusing
explanation:
10 points and giving out brainiest!! Please help, this is pretty easy, I forgot how to do it though
Answers
Answer:
Equation of the line; y=x+3
Step-by-step explanation:
Graph the line that passes through the points (5,8) and (3,6) and determine the equation of the line.
Equation of a line: y=mx +b
Let's find the slope: [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
8-6/ 5-3= 2/2 = 1
y=x+b
Substitute the points in.
y= 8
x = 5
8 = 5+b
b= 3
The y-intercept is 3.
y=x+3
Points on the line: (-2,1) (-1,2) (0,3) (1,4) (2,5)
25. On a farm, there are c cows and 15
sheep. There are 4 more sheep than
cows. Which equation represents the
situation?
A C= 15 +4
B C= 15-4
CC=4 - 15
D C = 4 x 15
Answers
Answer:b because if there is 4 more sheep than cows just subtract 4 and you get the number of cows
Step-by-step explanation:
If there are 15 sheep and thats 4 more than the amount of cows, you just subtract 4
In a city, taxicab fare is .80 cents for the first 1/4 mile and .20 for additional 1/4 mile. How far can you travel for $5.00?
Answers
Answer:
5 1/2 MILES
Step-by-step explanation:
$5.00-$.80=$4.20
4.20/.20=21/4= 5 1/4+1/4= 5 2/4 OR 5 1/2 MILES
Hope this help!
In triangle ABC , m angle A=(3x)^ , m angle B=(3x+10)^ , and m angle C=(4x-30)^ Find m m angle C
Answers
Answer:
B
Step-by-step explanation:
Interior angles of a triangle = 180°
3x°+3x+10°+4x-30°=180°
10x°-20°=180°
10x°=180°+20°
10x°= 200°
10x°/10=200°/10
x°=20°
Hence, the angle is [tex]x=20[/tex] degree.
What is the angle?
An angle can be defined as the figure formed by two rays meeting at a common end point.
Here given that,
As we know that the sum of interior angles of a triangle is [tex]180[/tex] degree.
[tex]3x+3x+10+4x-30=180\\\\10x-20=180\\\\10x=180+20\\\\10x= 200\\\\\frac{10x}{10}=\frac{200}{10}\\\\x=20[/tex]
Hence, the angle is [tex]x=20[/tex] degree.
To know more about the angle
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ABCD is a parallelogram.
Given that,
DC = CE
prove that,
area of the ADE triangle is equal to the area of the parallelogram.
need explanation
plzz help!!
will give the brainliest!!
Answers
Answer:
Step-by-step explanation:
We khow that ABCD is a parallelogram so its area is the product of the base (DC) and the the height
Let H be the height of the paralellogram and A its area So A= DC*HADE is a triangle . Its area is the product of the height and the base(DE) over 2
We notice that the paralellogram and the triangle have both the same height Let S be the area of the triangle S= (DE*H)/2= DE/2 *H = DC *HSo the triangle and the parallelogram have the same area
write all factors of 72
Answers
Answer:
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
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Which number has a repeating decimal form?
Answers
Answer:
Option D
Step-by-step explanation:
A. [tex]\sqrt{15}[/tex] = 3.87298
B. 11/25 = 0.44
C. 3/20 = 1.25
D. 2/6 = 0.333........
So, D had a repeating decimal form because it repeats the number 3.
Answer:
Step-by-step explanation:
D: 2/6. Note that 2/6 = 1/3 = 0.3333333.... (repeating decimal form)
What is the 1st term in the sequence of cube numbers?
Answers
Answer:
1
Step-by-step explanation:
The n th term of cube numbers is calculated as
[tex]a_{n}[/tex] = n³
To find the first term let n = 1, that is
a₁ = 1³ = 1
Answer:
1.
Step-by-step explanation:
1 is the first term in the square numbers, as it is in the sequence of cube numbers.
1^3 = 1 * 1 * 1 = 1.
Hope this helps!
Consider this population data set: 4, 6. 7. 11, 12, 18, 26, 23, 14, 31. 22, and 12. The values 11.31. 22. and 12 constitute a random sample drawn
from the data set.
The sample mean is more than the population mean by
A. 3.5
B. 15.5
C. 19
D. 110
Answers
Answer:
The answer is 3.5
Step-by-step explanation:
Tammy is testing the cellphone service in a certain area for a cellphone company. The signal during the test can be modeled by sin t+3 where t is the time in seconds. Focusing on the domain 0 < t < 3 π/2, at what time is the signal the strongest?
Answers
Answer:
4.71
Step-by-step explanation:
3* pi = 9.42
9.42/2 = 4.71
Michael is 6 feet tall and is standing on top of
a building, looking at a park in the distance.
The angle of depression is 53°. If the building
you are standing on is 100 feet tall, how far
away is the park? Round your answer to the
nearest tenth.
ft away from the
The park is
building.
Answers
Answer:
79.9 feet.
Step-by-step explanation:
If you draw out the problem, you can easily visualize it.
We are given the opposite side length and the angle, and we need to find the adjacent. So, we will use tangent (soh cah toa - tangent: opposite/adjacent).
tan(53) = (100 + 6) / x
tan(53) = 106 / x
x = 106 / (tan(53))
x = 106 / 1.327044822
x = 79.87672931
Round your answer to the nearest tenth!
So, the park is approximately 79.9 feet away!
Hope this helps!
A box with a volume of 16 $\text{cm}^3$ can hold 50 paperclips. How many paperclips could a box with a volume of 48 $\text{cm}^3$ hold?
Answers
Answer:
150 paperclips
Step-by-step explanation:
set up the equation as a fraction equaling a fraction i.e. volume 16/ 50 paperclips = volume 48/ x paperclips
cross multiply so you get 16x = 2400
solve for x by dividing 2400 by 16
you should get x = 150
Square
Move the active vertex to change the shape of the quadrilateral and
check all properties that apply.
Square
All sides congruent
Opposite sides congruent
All angles congruent
Opposite angles congruent
Diagonals congruent
OOOO
Diagonals bisect
Check
Answer shown above
Answers
Answer:
shown above
move active check
A car is known to be 88% likely to pass inspection at a certain Motor Vehicle Agency inspection office. What is the probability that at least 90 cars pass inspection if a random sample of 100 cars is taken at this Motor Vehicle Agency inspection office? A. 0.4032 B. 0.6663 C. 0.3337 D. 0.88
Answers
Answer:
The correct option is;
C. 0.3337
Step-by-step explanation:
We note that for a binomial probability distribution, we have;
[tex]p(r\geq \gamma)=\sum_{\gamma = r}^{ n}\dbinom{n}{r}\cdot \left (p\right )^{\gamma }\cdot \left (1-p\right )^{n - \gamma}[/tex]
Which gives;
[tex]p(x \geq 90)=\sum_{r = 90}^{ 100}\dbinom{100}{90}\cdot \left (0.88\right )^{\gamma }\cdot \left (1-0.88\right )^{100 - \gamma}[/tex]
[tex]\dbinom{100}{90}\cdot \left (0.88\right )^{90 }\cdot \left (1-0.88\right )^{10} = 0.108033[/tex]
[tex]\dbinom{100}{91}\cdot \left (0.88\right )^{91 }\cdot \left (1-0.88\right )^{9} = 0.08706[/tex]
[tex]\dbinom{100}{92}\cdot \left (0.88\right )^{92 }\cdot \left (1-0.88\right )^{8} = 0.062456[/tex]
[tex]\dbinom{100}{93}\cdot \left (0.88\right )^{93 }\cdot \left (1-0.88\right )^{7} = 0.039399[/tex]
[tex]\dbinom{100}{94}\cdot \left (0.88\right )^{94 }\cdot \left (1-0.88\right )^{6} = 0.021516[/tex]
[tex]\dbinom{100}{95}\cdot \left (0.88\right )^{95 }\cdot \left (1-0.88\right )^{5} = 0.09965[/tex]
[tex]\dbinom{100}{96}\cdot \left (0.88\right )^{96 }\cdot \left (1-0.88\right )^{4} = 0.003806[/tex]
[tex]\dbinom{100}{97}\cdot \left (0.88\right )^{97 }\cdot \left (1-0.88\right )^{3} = 0.001151[/tex]
[tex]\dbinom{100}{98}\cdot \left (0.88\right )^{98 }\cdot \left (1-0.88\right )^{2} = 0.000258[/tex]
[tex]\dbinom{100}{99}\cdot \left (0.88\right )^{99 }\cdot \left (1-0.88\right ) = 0.0000383[/tex]
[tex]\dbinom{100}{100}\cdot \left (0.88\right )^{100 }\cdot \left (1-0.88\right )^{0} = 0.00000281[/tex]
P(r≥90) is therefore 0.1083 + 0.08706 + 0.062456 + 0.039399 + 0.021516 + 0.09965 + 0.003806 + 0.001151 + 0.000258 + 0.0000383 + 0.00000281 = 0.333685 ≈ 0.3337.
If f(x) = 3x + 2 and g(x) = x2 + 1, which expression is equivalent to (f circle g) (x)? (3x + 2)(x 2 + 1) 3x 2 + 1 + 2 (3x + 2)2 + 1 3(x 2 + 1) + 2
Answers
Answer:
(f circle g) (x) = 3x^2 + 5
Step-by-step explanation:
To find (f circle g)(x), we substitute function g(x) for x in f(x) = 3x + 2:
(f circle g) (x) = 3(x^2 + 1) + 2, or
3x^2 + 3 + 2, or
(f circle g) (x) = 3x^2 + 5
Answer:
(f circle g) (x) = 3x^2 + 5
Step-by-step explanation:
Graph the line: a through the point (3,2) with a slope of −2. PLEASE HELP ONLY 20 MINS LEFT
Answers
Answer:
y = -2x + 8
Step-by-step explanation:
The slope is given, and if we plug in 2 and 3 for y and x respectively, we can solve to get b=8. When graphed, it looks like the picture below.