An architect is creating a scale drawing of a school computer lab. The length of the lab is 32 feet and the width of the lab is 48 feet. If each 16 feet of the lab equals 2 centimeters on a scale drawing, which of the following drawings is the scale drawing of the computer lab?
Answers
Answer:
The answer is B
Step-by-step explanation:
Length:
32ft. / 16ft. = 2
2 x 2cm. = 4 cm.
Width:
48ft. / 16ft. = 3
3 x 2cm. = 6cm
Answer:
b
Step-by-step explanation:
Related Questions
Find the slope and the y-intercept of the line. 6x + 3y = -3 Write your answers in simplest form
Answers
Answer:
[m] slope = -2
[b] y-intercept = -1 ; (0, -1)
[y = mx + b] slope-intercept = -2x – 1
Step-by-step explanation:
Given the algebraic equation 6x + 3y = -3 currently in standard form:
Ax + By = C →
By = C – Ax →
By = -Ax + C →
y = -Ax / B + C / B →
y = (-A / B)x + (C / B) →
y = mx + b →
m = -A / B. b = C / B.
6x + 3y = -3
↓ ↓ ↓
A = 6. B = 3. C = -3.
[Substitute]
m = -A / B. b = C / B
m = -(6) / (3). b = (-3) / (3)
↓ ↓
m = -2. b = -1.
↓. ↓
Slope = -2. y-intercept = -1.
_______________________
Slope is ∆y/∆x [change in y over the change in x] = y2 – y1 / x2 – x1.
The y-intercept is the point where x is 0.
The easiest way to determine this is to substitute 0 in for x in an equation and solve for y.
This means that the y intercept in coordinate form is (0, b).
It has been observed that some persons who suffer acute heartburn, again suffer acute heartburn within one year of the first episode. This is due, in part, to damage from the first episode. The performance of a new drug designed to prevent a second episode is to be tested for its effectiveness in preventing a second episode. In order to do this two groups of people suffering a first episode are selected. There are 45 people in the first group and this group will be administered the new drug. There are 75 people in the second group and this group will be administered a placebo. After one year, 12% of the first group has a second episode and 14% of the second group has a second episode. Conduct a hypothesis test to determine, at the significance level 0.1, whether there is reason to believe that the true percentage of those in the first group who suffer a second episode is less than the true percentage of those in the second group who suffer a second episode.
A. [ z < -1.65, RHo].
B. [ z < -1.65 and z > 1.65, FRHo].
C. [z > 1.65, FRHo].
D. [z < -1.65 and z > 1.65, FRHo].
E. [z > -1.65 and z < 1.65, RHo].
F. None of the above.
Answers
Answer:
F. None of the above.
Step-by-step explanation:
Let the null and alternate hypothesis be
H0: p1 ≥ p2 against the claim Ha: p1 < p2
the significance level is 0.1
The critical region is z < z∝= 1.28
The test statistic is
Z= ( p^1-p^2)- (p1-p2)/√p1^q1^/n1 + p2^q2^/n2
Here n1= 45 , n2= 75
p1= 0.12 p2= 0.14
q1= 0.88 q2= 0.86
z= 0.12- 0.14/√0.12*0.88/45 +0.14*0.86/75
Z= 0.02/ √0.00235 + 0.00161
Z= 0.02/0.062891
z= 0.318
The calculated value of z= 0.318 lies in the critical region z < 1.28
therefore accept Ha.
All of the options are incorrect as the critical value for one tailed test for 0.1 is 1.28 .
Pleaseeee helppppp!!
Answers
Answer:
60.4
Step-by-step explanation:
90-29.6= 60.4
complimentary means either of two angles whose sum is 90°.
the perimeter of a square field is 880m. Find it's area in hectares
Answers
This is the answer hope it helps
The area of the square field is 4840 hectares.
What is perimeter of square?Perimeter of the square is defined as addition the lengths of the square's four sides.
Perimeter of the square equation is 4a
Where, a is length of the square
Given data as :
Perimeter of the square field = 880 m
Side of the square = Perimeter/4
Side of the square = 880/4
Side of the square = 220 m
So, length of each side of the square is 220 m
Area of square = Side × Side
Area of square = 220 m × 220 m
Area of square = 48400 square meters
Area of square = 48.4 square kilometers
As we know that 1 sq km = 100 hectares
So, 48.4 km = 48.4 × 100 = 4840 hectares
Hence, the area of the square field is 4840 hectares.
Learn more about Perimeter of square here:
https://brainly.com/question/11495285
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What is the solution set of the system of equations
x+y = 5 and y=x^2- 25?
1) {(0.5) (11,-6)}
2) {(5,0).(-6,11)
3) {(-5,0),(6,11)
4) {(-5,10).(6.-1)
Answers
Write the expression as a product of expressions.
(Factor this expression.)
`a^{3}b^{3}-a^{2}b^{2}-a^{2}c^{2}`
PLEASE HELP THIS IS URGENT
Answers
Answer:
[tex]a^2(ab^{3}-b^{2}-c^{2})[/tex]
Step-by-step explanation:
Given
[tex]a^{3}b^{3}-a^{2}b^{2}-a^{2}c^{2}[/tex]
Required
Factor
[tex]a^{3}b^{3}-a^{2}b^{2}-a^{2}c^{2}[/tex]
Factor out [tex]a^2[/tex]
[tex]a^2(ab^{3}-b^{2}-c^{2})[/tex]
The expression cannot be further factored
Use
f(x)= 800 (1.32)x for 1-3
What is the intial amount?
What is the growth rate?
What is the growth factor?
Answers
Happy learning!
point A, located at (- 11, -7) on the coordinate plane, is reflected over the x- axis to form point B. Then point B is reflected over the y-axis to form point C. What are the coordinates of points B and C?
Answers
Answer:
Point B: (_11 , 7) Point C: (11, -7)CORRECT ME IF THERE'S WRONG!
Using the figure on the left, what is the measure of
LZWY and ZZYW?
Y
N
60° + c + 90° = 180°
60°
C
cº + dº + 90° = 180°
d =
120°60°
60°
DX
w
Answers
Answer: first 30 second is 60
Step-by-step explanation:
Answer:
30,60
Step-by-step explanation:
Plz help find the rule 50 points
Answers
Answer:
1², 2²,3², 4², 5², 6², 7², 8², 9², 10², 11², 12², 13², 14², 15², 16², 17², 18², 19², 20²,........
Each number is multiplied by itself.
Take a look at the photo and please right an explanation for your answer
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So you have to find the volume of the top part of the shape which is 72. Then you get the other parts, which is 288. Add them up and get 360
Pleaseeee helpppppppp!!!
Answers
Answer:
x = 46°
Step-by-step explanation:
Appling the principle of supplementary angle in Geomentry.
Supplementary angle: These are angles that sum up to 180°
From the diagram above, x and 134° are supplementry because they sum up to 180°.
Therefore,
134+x = 180 (Supplementary angle)
Solve for x
x = 180-134
x = 46°
Therefore, the value of the missing angle is 46°
All of the following are equivalent except _____.
7.5:4.5
5 is to 3
15/5
45/27
Answers
Answer:
15/5
Step-by-step explanation:
because 7.5 ÷ 4.5 = 1.66667
5 ÷ 3 = 1.66667
and 45 ÷ 27 = 1.66667
but 15 ÷ 5 = 3 therefore it's the off one out.
AB has points A at (2,−5) and B at (5,−3).
AB iis reflected across the y-axis and then translated 3 units right. What are the coordinates of the endpoints of the image A′B'?
Answers
9514 1404 393
Answer:
A'(1, -5)B'(-2, -3)Step-by-step explanation:
Reflection over the y-axis and translation 3 right is modeled by the transformation ...
(x, y) ⇒ (-x +3, y)
Then the image end points are ...
A(2, -5) ⇒ A'(-2+3, -5) = A'(1, -5)
B(5, -3) ⇒ B'(-5+3, -3) = B'(-2, -3)
_____
In the attached figure, the reflection is shown as A'B' in light purple. The line after the final translation is shown as A"B" in blue.
Help please!!!! will Brainly!!!
Answers
Answer:
true
Step-by-step explanation:
.................
The Sine Function
According to the National Weather Service, the average monthly high temperature in the Dallas/Fort Worth, Texas area from the years of 2006-2008 is given by the following table:
To get a feel for the relationship between the month and the average high temperatures, the data is plotted on the following scatter plot.
If the plot was extended to a two year period with 1 = Jan of the first year, 12 = Dec of the first year, 13 = Jan of the second year, 24 = Dec of the second year, describe the plot with the additional information.
a. Linear
b. Random dots
c. Wave-like and repetitive
d. Quadratic
Please select the best answer from the choices provided
Answers
Answer:
C. Wave-like and repetitive
Step-by-step explanation:
I calculated it logically
2.247 divided into 7 equals what
Answers
Given the function f(x) = 4^x - 1, explain and show how to find the average rate of change between x = 1 and x = 4.
Answers
Answer:
84
Step-by-step explanation:
f(1)=4^1 - 1 = 3
f(4) = 4^4 - 1 = 255
rate of change = [tex]\frac{f(x_2)-f(x_1)}{x_2-x_1}[/tex]
(255 - 3) / (4 - 1) = 252 / 3 = 84
The sidewalk is 5 feet wide and the garden measures 20 feet across. Which measurement is closest to the area of the outer edge of the sidewalk?
A.
200 ft2
B.
400 ft2
C.
700 ft2
D.
1,000 ft2
Answers
Answer:
A (obviously)
Step-by-step explanation:
Info Given
Sidewalk is 5 ft. wideGarden is 20 ft. acrossthe minute hans on the clock shown below has a length of 7.5 cm. which of the following is closest to the distance that the tip of the hand travels as it moves from 12 to 4
Answers
Answer:
16
Step-by-step explanation:
The following is closest to the distance that the tip of the hand travels as it moves from 12 to 4 should be considered as the 16 cm.
Calculation of the distance:
Since the minute hans on the clock shown below has a length of 7.5 cm
And, the tip of the hand travels as it moves from 12 to 4
So,
For full rotation it should be like [tex]2\pi[/tex] radians
Since angle turned by minute hand in 5 minutes so it should be like [tex]= 2\pi \div 12[/tex] radians
So
[tex]= 7.5 \times 2.094[/tex]
= 15.7 cm
Learn more about distance here: https://brainly.com/question/13448007
round 98,376 to the nearest thousand
Answers
Answer:
98000
Step-by-step explanation:
Five times a number is 80 less than 7 times the number. Find the number.
Answers
I think its 16 but im not completly sure
I will give Brainliest
Please help me find the answer
Answers
Answer:
in the first traingle
sinC = 36/39 = 12/13
CosC= 15/39 = 5/13
TanA= 15/36=5/12
this is the values i didnt understand the question so i just find the values
in the second Triangle
SinA=2√5/5
CosA=√5/5
TanB= √5/2√5=1/2
cos 30 = √3/2
sin45=√2/2
tan60= √3
hopefully its helpful iam sorry i didnt understand what they mean in the question my engilish is bad
Sin of c. Sin'-1(36/39)=90
Cos of c cos'-1(15/39)=67.38
Tan of a tan'-1(15/36)=22.62
Sin of a sin'-1(2squarroot5/5)=63.43
Cos od a cos'-1(squareroot5/5)=63.43
Tan of b tan'-1(2squareroot5/squareroot5)=63.43
Cos30 is pie/6 or squareroot of 3 /2
Sin of 45 is pie/4 or squareroot2/2
Tan60 is pie/3 or squareroot3
The diagram shows the distance a tortoise can walk if it walks at a constant pace for 15 minutes. At the same rate, how many kilometers can the tortoise walk in 1 hour?
Write your answer as a decimal.
Answers
Answer:
3,098
Step-by-step explanation:
when you do the ,ath you will get it
A right-angled triangle, with two sides adjacent to the right angle labeled 7 and 11 respectively, and the hypotenuse is labeled x.
Find the exact value of $x$ .
Answers
Answer:
170
c=a^2+b^2=7^2+11^2≈13.0384 or 170
Step-by-step explanation:
mrk me brainliest please
I do need to know NOTHING.
Answers
Answer:
Thats cool man.
Step-by-step explanation:
HELP ME PLEASEEEEEEEEEEEEEEEEEEE
Answers
Hope it helps..............!
Hi, i need to calculate roots x1 and x2 using the vieta theorem, can anyone help me? I have found the answer for x1 and x2, its 1,5 and 2, all i need is a solution on how to get this answer, the equation is in the picture, will give you brainliest if you type down the correct solution for me, thanks.
Answers
Answer:
Solution given:
-2x²+7x-6=0
2x²-7x+6=0
Comparing above equation with ax²+bx+c
we get
a=2
b=-7
c=6
By using Vieta's theorem
X1+X2=[tex] \frac{-b}{a} [/tex]=[tex] \frac{7}{2} [/tex]
again
X1X2=[tex] \frac{c}{a} [/tex]=[tex] \frac{6}{2} [/tex]=3
Somebody please help!
Answers
Answer:
57 7/9
Step-by-step explanation:
I used a fraction calculator.
Suppose that two investors A and B have exhibited the indifference probabilities as shown in table below. Indifference probability Investor A Investor B Net return (RM) -2000 0 0 - 1000 0.70 0.10 0 0.80 0.20 1000 0.85 0.30 2000 0.90 0.50 3000 0.95 0.60 4000 1.00 1.00 a) Determine the utility value (for each monetary value) for each investor and fill it in table above. b) Graph the utility functions for both investors and categorize each investor as either a risk- averse person or a risk seeker. c) Suppose that investor A has the chance to invest in one of two ventures. Venture I can produce a net return of RM3000 with probability 0.40 or a net loss of RM1000 with probability 0.60. Venture II can produce a net return of RM2000 with probability 0.60 and no return with probability 0.40. Based on utility function in (b), use the expected utility criterion to determine the venture investor A should select. What is the expected monetary value associated with the selected venture?
Answers
Answer:
Da Answer is Suppose that two investors A and B have exhibited the indifference probabilities as shown in table below. Indifference probability Investor A Investor B Net return (RM) -2000 0 0 - 1000 0.70 0.10 0 0.80 0.20 1000 0.85 0.30 2000 0.90 0.50 3000 0.95 0.60 4000 1.00 1.00 a) Determine the utility value (for each monetary value) for each investor and fill it in table above. b) Graph the utility functions for both investors and categorize each investor as either a risk- averse person or a risk seeker. c) Suppose that investor A has the chance to invest in one of two ventures. Venture I can produce a net return of RM3000 with probability 0.40 or a net loss of RM1000 with probability 0.60. Venture II can produce a net return of RM2000 with probability 0.60 and no return with probability 0.40. Based on utility function in (b), use the expected utility criterion to determine the venture investor A should select. What is the expected monetary value associated with the selected venture?
Step-by-step explanation:
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