An architect is recreating the blueprint for a deck with an existing scale factor of 1 in. equals 2 ft, that is shown. The architect is using a different scale so that the length of the same deck on the new blueprint measures 8 inches. Complete parts a and b. What is the scale factor of the new blue print? 1 inch = ______feet.
Part 2: What is the width of the deck on the new blueprint?
Answer:
[tex](a)\ k_2 = 1in:3ft[/tex]
[tex](b)\ Scale\ width =\frac{16}{3}\ in[/tex]
Step-by-step explanation:
Given
[tex]k_1 = 1in : 2ft[/tex] --- Initial scale factor
[tex]Blueprint: 12in\ by\ 8in[/tex] --- Missing from the question
Solving (a): The new scale factor.
Convert the initial blueprint to actual measurement using the initial scale factor, we have:
[tex]Length = 12 * 2ft = 24ft[/tex]
[tex]Width = 8 * 2ft = 16ft[/tex]
From the question, we understand the new scale factor represents the width as 8in.
The scale factor (k2) is then calculated as:
[tex]k_2 = \frac{Scale\ length}{Actual\ length}[/tex]
[tex]k_2 = \frac{8in}{24ft}[/tex]
Simplify
[tex]k_2 = \frac{1in}{3ft}[/tex]
Represent as fraction
[tex]k_2 = 1in:3ft[/tex]
The above is the new scale factor
Solving (b): The new width
Using the scale factor above we have:
[tex]k_2 = \frac{Scale\ width}{Actual\ width}[/tex]
[tex]\frac{1in}{3ft} = \frac{Scale\ width}{16ft}[/tex]
The 16 is gotten from:
[tex]Width = 8 * 2ft = 16ft[/tex]
So, we have:
[tex]Scale\ width = 16ft * \frac{1in}{3ft}[/tex]
[tex]Scale\ width = 16 * \frac{1in}{3}[/tex]
[tex]Scale\ width =\frac{16\ in}{3}[/tex]
[tex]Scale\ width =\frac{16}{3}\ in[/tex]
Hence, the scale width of the blueprint is: 16/3 inches
Answer: Part A is 3 and part b is 5 1/3 inches
Step-by-step explanation:
PLZZZZ HELP ASAP PLZZZ
Answer:
1. (5x - 2) + (2x - 2) + x = [tex]180^{o}[/tex]
2. m<J = [tex]113^{o}[/tex]
3. m<K = [tex]44^{o}[/tex]
4. m<L = [tex]23^{o}[/tex]
Step-by-step explanation:
Generally, the sum of angles in a triangle = [tex]180^{o}[/tex].
So that;
m<J + m<K + m<L = [tex]180^{o}[/tex]
(5x - 2) + (2x - 2) + x = [tex]180^{o}[/tex]
5x + 2x + x -2 -2 = [tex]180^{o}[/tex]
8x - 4 = [tex]180^{o}[/tex]
8x = [tex]180^{o}[/tex] + 4
8x = 184
x = [tex]\frac{184}{8}[/tex]
x = [tex]23^{o}[/tex]
Thus,
m<J = (5x - 2)
= 5(23) - 2
= [tex]113^{o}[/tex]
m<K = (2x -2)
= 2(23) - 2
= [tex]44^{o}[/tex]
m<L = x
= [tex]23^{o}[/tex]
Manuel bought 9 pounds of apples.
He has eaten 3
4 of a pound so far and has
$15 worth of apples left. Write and solve an
equation to find the cost of the apples per
pound to the nearest dollar. How much did
the apples cost per pound?
Answer:
1) Since Manuel bought 9 pounds and ate 3/4 of 1 pound, he has 8.25 pounds left (9 - 0.75 = 8.25)
2) Let's call "x" the cost of 1 pound of apples
3) (8.25)*(x) = $15
4) x = $1.81818 rounded to the nearest dollar is $2 / pound
I NEED HELP ASAP question: Sea fans are an example of soft corals,hard corals,atolls or lagoons?
Answer: They’re a type of soft coral I’m pretty sure
Step-by-step explanation:
A baker has 214 cups of blueberries to make three batches of muffins. How many cups of blueberries should the baker put into each batch? The baker should put ___ cup(s) of blueberries in each batch
Answer:
71
Step-by-step explanation:
214/3
!!! I NEED HELP ASAP!!! Please can you help me fill in this chart for 45-45-90 and 30-60-90 triangles I know how to do the first one but the rest I am stuck on, and I will give brainliest.
Answer:
u add 45 + 45 +90 that’s 180 and all triangles equal 180
Step-by-step explanation:
please pls help
a+12=21
Answer:
Down Below
Step-by-step explanation:
[tex]a+12=21\\a+12-12=21-12\\a=9[/tex]
Answer:
9
Step-by-step explanation:
a +12 = 21
a + 12 - 12 = 21 - 12
a = 9
I can’t really understand this can someone help
Me?
4% more than 150 is, can yall explain me each step
Answer:
156
Step-by-step explanation:
Find the unknown angle measures in each triangle
Answer:
Angle Q= 78°
Angle P= 51°
Angle S and Angle U= 56°
Step-by-step explanation:
Angles in a triangle should add up to 180° when added
como fasso essa conta 2x-10=50
Answer:
correct
Step-by-step explanation:
hello please help thanks
Answer:
oceans and the Sun
Step-by-step explanation:
The Sun heats ocean water causing some to evaporate. Tides move the ocean water. Waves move ocean water onto the shore.
i need help find AC please
Answer:
isnt it in your room
Step-by-step explanation:
Find the volume of the shape below
Answer:
112
Step-by-step explanation:
10 - 2 = 8
8 * 2 * 4 = 64
6 * 2 * 4 = 48
64 + 48 = 112
is an increasing slope a positive slope?
Answer: YESSS A line is increasing if it goes up from left to right. The slope is positive. A line is decreasing if it goes down from left to right.
Step-by-step explanation: The concept of slope is very useful in economics, because it measures the relationship between two variables. A positive slope means that two variables are positively related—that is, when x increases, so does y, and when x decreases, y also decreases.
A shed is shaped like a rectangular prism. The base of the shed has an area of 64 square feet. The volume of the shed is 576 cubic feet.
What is the height of the shed? Enter the answer in the box.
feet
Answer:
It’s 64 x 9 equals 576
Step-by-step explanation:
The answer is 9 feet
The value height of shed is 9 feet.
What is Volume of rectangular prism?
The volume of a rectangular prism is defined as the space occupied within a rectangular prism. A rectangular prism is a polyhedron that has two pairs of congruent and parallel bases.
Here, Vol. of rectangular prism = 576 ft³
base area = 64 ft²
Volume of rectangular prism = area of base X height
576 = 64 X h
h = 576 / 64
h = 9 ft.
Thus, the value height of shed is 9 feet.
Learn more about Volume of rectangular prism from:
https://brainly.com/question/21308574
#SPJ2
Answer the question above
Answer:
BA
Step-by-step explanation:
Here, we want to get the hypotenuse side
The hypotenuse represents the longest side
it is the side that faces the largest angle in a right triangle
The largest angle in a right triangle is the right angle which is the angle 90
It is like the square at a corner at the vertex C
The side facing it here is the the length AB (BA)
Help please I need the area of the whole shape
pleaseeeeee show the work
Answer:
I got x=10
Step-by-step explanation:
Step 1
Everything must add up to 180
180= 6x - 6 + 7x + 1 +55
Step 2
Combine everything
6x + 7x = 13x
-6 + 1 +55 =50
180 = 13x + 50
Step 4
Subtract. 180 -50
130 = 13x
Step 5
Divide 130/13
X=10
6(10) -6 = 54
7(10) + 1=71
What value of y makes the equation 4x – 3y = 17 true, when x = 2What value of y makes the equation –2x + y = –8 true when x = 4?
Answer:
1) y = -3
2) y = 0
Step-by-step explanation:
1) When x = 2
4x – 3y = 17
4(2) - 3y = 17
8 - 3y = 17
-3y = 17 - 8
-3y = 9
y = -3
2) When x = 4
–2x + y = –8
-2(4) + y = -8
-8 + y = -8
y = -8 + 8
y = 0
i have to determine if DE is parallel to AC
Answer:
Triangle BDE and triangle BAC are similar triangles
Hence, two lines DE and AC are parallel to each other
Step-by-step explanation:
For proving that DE is parallel to AC, we are required to prove that triangle BDE and triangle BAC are similar triangles
The ratio of sides of both the triangle must be equal to each other
Hence
[tex]\frac{BE}{DB} = \frac{BC}{BA} \\\frac{16.1}{28} = \frac{20.7+16.1}{64}\\0.575 = 0.575[/tex]
and angle B is common.
Hence the two triangles are similar.
Therefore angle BDE and angle BAC are equal like wise angle BED and angle BCA are equal.
Thus, the two lines DE and AC are parallel to each other
6_7/8 + 9_5/16 pls help
Listen
Pat bounces a basketball 25 times in 30 seconds. At that rate, approximately how many
times will Pat bounce the ball in 150 seconds?
Answer: Pat bonces the ball 125 times in 150 seconds.
Is 0.3 the multiplicative inverse of 3 1/3? Why or why not?
Chapter : Rational Numbers
Answer:
3 1/3 = 10/3
0.3 = 3/10
a * 1/a =1
then 1/a is multiplicative inverse of a
0.3* 3 1/3 = 3/10 * 10/3 =1
0.3 is multiplicative inverse of 3 1/3
Step-by-step explanation:
Answer:
3 1/3 = 10/3
10.3 = 0.3 = 3 1/3
x * 1/x = 1
∴ yes, the multiplicative reverse of 3 1/3 is 0.3
hope this answer helps you.....
Angie takes a ferry ride with her niece. The cost of a ticket for an adult (Angie) is three dollars more than the cost of the ticket for a child (her niece). If the cost of an adult ticket is x dollars, which expression gives the total cost of the tickets for Angie and her niece?
2x − 3
2x + 3
2(x + 3)
2(x − 3)
that is just a screenshot of a weird dude on one of the pictures
Answer:
2x − 3
Step-by-step explanat
Simplify the expression by combining like terms.
Write the terms from the highest to the lowest
power of the variable.
-9a^2 - 17a^2 - 8a - 8 - 12a^2 - 17 - 9a + 7a
Answer:
-38a^2 - 10a - 25
Step-by-step explanation:
The highest power of a is a^2. Combine the a^2 terms:
(-9 - 17 - 12)a^2 = -38a^2
Now combine the a terms:
(-8 - 9 + 7)a = -10a
Finally, combine the constants: -8 - 17 = -25
Summing up these three results, we get:
-38a^2 - 10a - 25
Concept 9.7: Write the equation of the circle with center at (-7, 11) and radius of 8.
if it wants the measurement of arcJK....
Answer:
ArcJK= 128
Step-by-step explanation:
Circle is 360 degrees
<KL is the diameter which is a straight line equals 180 degrees
Since <KLis also a central angle arcKL equals 180
Take <K (26) and times by two cause its an inscribe angle, 26*2=52
arcJL=52
add both arcKL and arcJL together: 180+52=232
then you take 360-232=128
and 128 is KLarc
find the missing length!!!!!
Answer:
2x^2+4x
HOPE THIS HELPS
-Todo <3
Step-by-step explanation:
9x^2+2x
2x^2+4x
(if you would like an explanation let me know :D)
3 cm
5 cm
6 cm
What is the surface area of the solid above?
A. 108 cm2
B. 126 cm2
C. 14 cm2
D. 96 cm2
Answer:
check my explanation
Step-by-step explanation:
yes it is c.
by adding the ones on screen
it is option C
what is albgrea pls i am a 5th grade
Answer:
the part of mathematics in which letters and other general symbols are used to represent numbers and quantities in formulae and equations.
Step-by-step explanation:
Answer:
algebra is basically where you have math, and you have to find an unknown number that is represented by a letter
Step-by-step explanation: