a)Scale factor is 72.
b)The area of the scale drawing is 3.75 square inches.
c)To find the area of the actual drawing, multiply the area of the scale drawing by 5184.
Length of the smaller rectangle =2.5inches
Width of the smaller rectangle = 1.5inches
So, the area of the smaller rectangle = 2.5*1.5 = 3.75 square inches.
Length of larger rectangle = 5 yards
Width of larger rectangle =3 yards
So, the area of the larger rectangle = 15 square yards = 15*36*36 = 19440 inches.
What is the scale factor?The scale factor is the factor by which the dimension of an object is enlarged.
a)Scale factor = dimension of the larger rectangle/ corresponding dimension of the smaller rectangle
Scale factor = 5 yards/ 2.5 inches
as we know that 5 yards equals 180 inches
So, scale factor = 180/2.5 = 72
b)The area of the scale drawing = 3.75 square inches.
c)Area of actual drawing/ area of scale drawing = 19440/3.75 = 5184
So, to find the area of the actual drawing, multiply the area of the scale drawing by 5184.
therefore, a)Scale factor is 72
b)The area of the scale drawing is 3.75 square inches.
c)To find the area of the actual drawing, multiply the area of the scale drawing by 5184.
To get more about scale factor visit:
https://brainly.com/question/25722260
Answer:
(A) 2
(B) 3.75
(C) square
Step-by-step explanation:
Got it right edge 2022
Show that x + y : x - y= 3 : 2
Answer:
x + y : x - y = (5/2+1/2) : (5/2-1/2)
x + y : x - y = 3 : 2
Therefore, x + y : x - y= 3 : 2 is proved.
Step-by-step explanation:
Given
x + y : x - y = 3 : 2
As
[tex]x + y = 3[/tex]
[tex]x - y = 2[/tex]
Solving to find x and y
[tex]\begin{bmatrix}x+y=3\\ x-y=2\end{bmatrix}[/tex]
[tex]x-y=2[/tex]
[tex]-[/tex]
[tex]\underline{x+y=3}[/tex]
[tex]-2y=-1[/tex]
[tex]\begin{bmatrix}x+y=3\\ -2y=-1\end{bmatrix}[/tex]
solve for y
[tex]-2y=-1[/tex]
Divide both sides by 2
[tex]\frac{-2y}{-2}=\frac{-1}{-2}[/tex]
[tex]y=\frac{1}{2}[/tex]
[tex]\mathrm{For\:}x+y=3\mathrm{\:plug\:in\:}y=\frac{1}{2}[/tex]
[tex]x+\frac{1}{2}=3[/tex]
[tex]x+\frac{1}{2}-\frac{1}{2}=3-\frac{1}{2}[/tex]
[tex]x=\frac{5}{2}[/tex]
so
[tex]x=\frac{5}{2},\:y=\frac{1}{2}[/tex]
Thus,
x + y : x - y = (5/2+1/2) : (5/2-1/2)
x + y : x - y = 3 : 2
Therefore, x + y : x - y= 3 : 2 is proved.
PLEASE HELP! 80 POINTS AND BRAINLIEST TO FIRST ANSWER!
A rectangular pen is constructed with 300m of fencing against a barn wall. What dimensions give the maximum area?
PLEASEEEEE HELP WILL MARK BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Triangle HJK is transformed to similar triangle H’J’K’:
What is the scale factor of dilation?
1/2
1/3
1/4
1/5
Answer:
the scale factor is 1/4 because the big one has four squares on the bottom so it's four times as big
can someone please help me
Answer:
a. h(t) = 5t + 10
b. 70
c. h(5) = 35 means that in 5 seconds, it will be 35 feet above ground.
Step-by-step explanation:
a. Since the elevator is already 10 feet of the ground, u have to add that in the equation. And since it's 5 feet per second, 5 will be a multiplier so:
h(t) = 5t + 10
b. We have the equation already and in the equation it said that "t" represents the seconds so just replace 1 with 12:
h(12) = 5(12) + 10
h(12) = 60 + 10
h(12) = 70
c. Refer to b that we just did if u will, "t" represents seconds so h(t) becoming h(5) means 5 seconds. So h(5) = 35 means that in 5 seconds, it will be 35 feet above ground.
What is the point-slope form of an equation for a line that passes through the point (5, –5) with the slope of 2?
Answer:
y-5=2(x+5)
Step-by-step explanation:
Compute the sum (Worth 15 Points!)
[tex]\[51 \cdot 23 + 49\cdot (-11)+49 \cdot 11 + 51 \cdot (-23).\][/tex]
Answer:
268.
Step-by-step explanation:
So we have 51*23+49+49*11*-11+51*-23
2(51+23+49+11) ( the 2 negatives cancel out)
So, 51+23+49+11 is 134.
2(134)
or 268.
Hope this answers your question!!!
Answer:
268 :)
Step-by-step explanation:
Help AsAp
i dont get It
:(
Answer:
(0.0)
(1,2.75)
A line that goes through the origin represents a proportional relationship. Since the line passes through zero-zero, it means that the relationship between the number of notebooks and the cost is proportional The unit rate is represented by the point one-y. The point one, two and seventy-five hundredths represents the unit rate, which means each notebook costs two dollars and seventy-five cents.
Answer:
(0.0)
(1,2.75)
A line that goes through the origin represents a proportional relationship. Since the line passes through zero-zero, it means that the relationship between the number of notebooks and the cost is proportional The unit rate is represented by the point one-y. The point one, two and seventy-five hundredths represents the unit rate, which means each notebook costs two dollars and seventy-five cents.
Step-by-step explanation Hi angry pomerian
A hungry Emperor penguin was swimming 21 feet below sea level. It swam up 9 feet to eat a fish. What is the position of the penguin now relative to sea level?
Answer:
Step-by-step explanation:
21 feet below is written as -21
9 feet up is written as +9
So we have -21 + 9 = -12 or 12 feet below sea level
someone travels 200 miles in 4 hours how many miles per second
Answer:
0.01
Step-by-step explanation:
Find the median of the set of numbers: 100, 200, 450, 29, 1029, 300 and 2001.
Answer: The median is: 300
Hope this helped!
What does x equal In this question?
Answer:
60
Step-by-step explanation:
A triangle is 180 degrees, add 87 and 33 and get 120. Subtract 120 from 180 and get 60 ;)
Answer:
In this equation x = 60
Step-by-step explanation:
I just added 33 and 87 and got 120.
A triangle has 180 degrees so i did 180 - 120 and got 60
Then i checked my work by adding 60 + 33 + 87 and got 180 \
That shows 60 is right
pls mark brainliest
Question 25
2 pts
Seth's father is thinking of buying his son a summer movie pass for $30 dollars.
With the pass, matinees cost $3 each. Without the pass each movie is normally
$8. If Seth plans to go to 30 movies this summer how much money would he
save? ONLY PUT THE NUMBER, NO DOLLAR SIGN.
Answer:
120
Step-by-step explanation:
First, you have to calculate the money that Seth would spent if he goes to 30 movies if his father gets the summer movie pass by adding up the cost of the pass plus the result of multiplying the cost per movie with the pass for the number of movies:
30+(3*30)=30+90=120
Second, you need to calculate the money that Seth would spent if he goes to 30 movies without the pass by multiplying the normal price per movie for the number of movies:
8*30=240
Third, you need to find the difference between both costs:
240-120=120
According to this, the answer is that if Seth plans to go to 30 movies this summer, he would save 120.
75 000 in standard form
Answer:
7.5×10^4
Step-by-step explanation:
Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the 10. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.
Hope this helps <3
Answer: 7.5
Step-by-step explanation:
What is the solution to the system of equations below Y = 1/2 X +6 and Y = -3/4 X -4
Answer:
x = -8, y = 2, or (-8,2)
Step-by-step explanation:
Hope it helps
Which of the following is equivalent to logb sqrt 57/74
could u help me please?
Answer: the answer is b but make sure
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
D is false. If -7,3 was an answer the equation would look like this
y+3=-2(x+7)
Have a nice day,
PumpkinSpice1
The measure of one of the acute angles in a right triangle is 59°.
What is the measure of the other acute angle?
Answer:
31*
Step-by-step explanation:
right triangle means 90* so 90*-59* = 31*
Answer:
31 degrees
Step-by-step explanation:
Graph this function using intercepts:
18x–42y=1,260
Answer: 260 on graph
Step-by-step explanation: 18x - 42y = 1
Find the product of the binomials,
(x - 3)(x + 2) (x + 4) =
Answer:
Step-by-step explanation:
(x - 3)(x + 2) (x + 4) =
x^3+3x^2-10x-24
Answer:
x^3+3x^2-10x-24
Step-by-step explanation:
(x - 3)(x + 2) (x + 4)
multiply the first two together first
(x^2+2x-3x-6)(x+4) add like terms first
(x^2-x-6)(x+4)
then multiply
x^3+4x^2-x^2-4x-6x-24
add like terms
x^3+3x^2-10x-24
( 2 + 2i )^20=
(a) 2^20
(b) 2^30
(c) 2^20i
(d) -2^30
24
34
22i
-34
yup your welcome
logbase2 ²/log base 2 ⁴
Answer:
Please use LaTeX I Assure you it is great
Step-by-step explanation:
Answer:
[tex]\frac{1}{2}[/tex]
Step-by-step explanation:
[tex]\frac{log 2^{2} }{log 2^{4} } =\frac{2 log ~2}{4 log~2} =\frac{2}{4} =\frac{1}{2}[/tex]
What is the y-intercept of the line that passes through the points (2, -1) and
(-3, 9)?
Answer:
the y intercept is (0, 3)
Step-by-step explanation:
y = mx + c
where m is the slope and c is the y-intercept
[tex]m = \frac{y_2 - y_1}{x_2 - x_1 }[/tex]
[tex]m = \frac{9 - -1}{-3 - 2 }[/tex]
[tex]m = \frac{10}{-5}[/tex]
[tex]m = -2[/tex]
hence, y = -2x + c
input a pair of values, in this case i will use (2, -1)
-1 = -2(2) + c
-1 = -4 + c
-1 + 4 = c
3 = c
Explain why a + b = d.
B
A
C
swer
Answer:
Explanation below
Step-by-step explanation:
Angles in a Triangle
There are two basic relations of angles we need to recall:
Supplementary angles add up to 180°Internal angles of a triangle add up to 180°Note a, b, and c are the internal angles of the triangle. The angle c is what is needed to a+b to complete 180°, thus:
c = 180 - ( a + b )
Also, note c and d are supplementary angles. Again, c is what is needed to d to complete 180°, thus
c = 180 - d
From the two relations above, it follows that:
a + b = d
please tell me the answer
Answer:
-3, 1, 5
Step-by-step explanation:
Which equation describes the same line as y-5=-2(x+4)
Answer:
y= -2x-3
Step-by-step explanation:
y-5 = -2x-8
y = -2x-8+5
y = -2x-3
The science club went on a two-day field trip. On the first day, the members paid $60 for transportation plus $15 per ticket to the planetarium. On the second day, they paid $95 for transportation plus $12 per ticket to the geology museum. Write an expression to represent the cost for two days for the "n" members of the club.
Answer:
Total cost for two days for the n members of the club = 155 + 27 n
Step-by-step explanation:
Answer:
155
60+95=155. you have to take day one and add day 2 and there is your answer
Bonus (3 points)
Graph the parabola using the indicated information (you may NOT use decimals) You must show all work to
receive credit.
y = 2^2 + 17x +30
a. equation of the axis of symmetry
b. coordinates of the vertex
c. calculate the coordinates of the x-intercepts
Answer:
c
Step-by-step explanation:
At the end of a basketball game, Michael’s coach tells him that he scored 25% of all of his team’s points. If Michael scored 16 points, exactly how many points did his team score?
Answer:
25% of all points is 16. So 16 is 1/4. Multiply 16 by 4 and then total points is 64
Please answer this question
Answer:
5 units right and 3 units up
Step-by-step explanation:
A shift 5 units to the right, and then a shift 3 units up.
k = +3
+k shifts function up; -k shifts function down,so 3 units up
h = -5
x+h shifts function left; x-h shifts function right, so 5 units right
Help meee ASAP!!!! Pls
Answer:
2/5
Step-by-step explanation:
I found two point and counted the Y change and the X change. Rise over run.
Answer:
4/10 is the slope and the y intercept is 3
Step-by-step explanation: