Answers
It's not entirely clear what the full instructions are, and I wish your teacher posted a diagram of figures A and B. However, I think I know what your teacher is after.
I'm assuming this is pertaining to similar polygons.
The larger figure has a side length of 88 ft and corresponds to the smaller side length of 11 ft. This is a scale factor of 11/88 = 1/8 = 0.125
What it means is that we multiply each larger side length by 1/8 or 0.125 to get the smaller corresponding side length. In other words, 88*(1/8) = 11
Square this linear scale factor to get the area scale factor
(1/8)^2 = (0.125)^2 = 0.015625
This value of 0.015625 is the area scale factor. We multiply this by the area of figure A to get
4928*0.015625 = 77
This is how your teacher got 77 as the final answer for figure B.
------------------------------------------------------
Admittedly this concept is a bit confusing at first.
Let's do another example.
Consider a 2 by 3 rectangle of area 2*3 = 6 square units.
Now apply a linear scale factor of 4 to quadruple each side. We get a 8 by 12 rectangle of area 8*12 = 96.
Notice the jump from 6 to 96 is "times 16" (since 96/6 = 16) and it's no coincidence that 16 is 4^2, i.e. the result of squaring the linear scale factor.
new area = (area scale factor)*(old area)
new area = 16*(old area)
new area = 16*6
new area = 96
This shows that 16 is the area scale factor.
Related Questions
I need help like a lot
Answers
i just want the points but if i do some math based off of the question i think its C
State the center and radius of each circle. then write the equation of the circle in standard form.
See attached:
Answers
Answer:
Step-by-step explanation:
Center: (h, k) (the coordinate of the middle point)r(radius): d(diameter)/2 (can be found by counting the number of units vertically or horizontally)Standard form of a circle: (x - h)² + (y - k)² = r²1.
Center: (-2, 3)
Radius: 10/2 = 5
Standard form/ equation: (x + 2)² + (y - 3)² = 25
Standard form:
(x - (-2))² + (y - 3)² = 5²
(x + 2)² + (y - 3)² = 25
2.
Center: (1, 1)
Radius: 6/2 = 3
Standard form/ equation: (x - 1)² + (y - 1)² = 9
Standard form:
(x - 1)² + (y - 1)² = 3²
(x - 1)² + (y - 1)² = 9
Hope this helps!
#1
Centre(-2,3)Radius=5=rEquation:-
(x-h)²+(y-k)²=r²(x+2)²+(y-3)²=5²(x+2)²+(y-3)²=25★More simply.
x²+4x+4+y²-6y+9=25x²+y²+4x-6y=12#2
Centre(1,1)Radius=3Equation
(x-1)²+(y-1)²=3²(x-1)²+(y-1)²=9★if a+ b = 5 ( a and b positive), find the maximum value of a² + b²
Answers
Answer:
2 for A, 1 for B
The tiny floating two means multiply the number by itself, so;
[tex]2 * 2 = 4[/tex]
[tex]1 * 1 = 1[/tex]
Add the two together.
[tex]4 + 1 = 5[/tex]
Please help!! A red block and a block are on a scale right. The red block weighs 9 ounces. The total weight of both blocks is 16 ounces. Which inequality best represents b, the possible weight of the blue block in ounces?
Answers
Answer:
b ≤ 7
Step-by-step explanation:
Given that:
A red block and a blue block are on a scale. The red block weights 9 ounces. The total weight of both blocks is 16 ounces.
To Find:
Which inequality best represents b, the possible weight of the blue block in ounces?
Knowing that;
< ⇒ less than
> ⇒ Greater than
≤ ⇒ less than or equal to
≥ ⇒ greater than or equal to
Solve:
Since the total blocks is 16 ounces that means it can't be pass 16 also known as can't be greater than. As well as, it given us that the red block weight 9 ounces that means
16 - 9 = 7
which given us that it must be equal to 7 or less than 7 to make it true.
Thus,
b ≤ 7
Kavinsky
The sum of the measures of the interior angles of a polygon is given. How
many sides does the polygon have?
3) 3060
4) 6480
Sides:
Sides:
Answers
Answer:
19sides if sum is 3060
38sides if sum is 6480
Find the midpoint of the segment with the given endpoints.
G(–4, 4) and H(2, 10)
Answers
Answer:
Midpoint (-1,7)
Step-by-step explanation:
To find a midpoint, average the x's and then average the y's (add and divide by 2)
The x-coordinate of the midpoint is: (-4+2)/2
= -2/2
= -1
and the y-coordinate is:
(4+10)/2
= 14/2
= 7
So the midpoint is:
(-1,7)
Answer:
(-1, 7)
Step-by-step explanation:
Midpoint of a line segment
[tex]\textsf{Midpoint}=\left(\dfrac{x_2+x_1}{2},\dfrac{y_2+y_1}{2}\right)\quad \textsf{where}\:(x_1,y_1)\:\textsf{and}\:(x_2,y_2)\:\textsf{are the endpoints}[/tex]
[tex]\textsf{let}\:(x_1,y_1)=(-4,4)[/tex]
[tex]\textsf{let}\:(x_2,y_2)=(2,10)[/tex]
[tex]\implies \textsf{Midpoint}=\left(\dfrac{2+(-4)}{2},\dfrac{10+4}{2}\right)=(-1,7)[/tex]
this picture represents 1-4 of the distance from maria house to the park which represents the whole distance?
Answers
BRAINLIEST! and MAX POINTS! PLUS 200 POINTS FOR A GOOD JOB!!
Given the following numbers:
π,2√5,√8,√3,√27
part A. Approximate the square root terms using the perfect squares approximation method. Your answer should be a mixed fraction. Make sure to show your work.
Please note pi does not need to be approximated by the perfect squares approximation method as it is not a square root.
part B. Order the numbers from least to greatest. Please show your answer using the original symbols and radicals provided. You may use decimals or fractions as part of your work for figuring it out.
Answers
Answer:
Part A)
0.47/1=0.47x100/1x100=47/100\
Part B)
0.47=47/99
Part C)
0.47=47/99
-------------------------------------------------------------------------------------------------------------
this is what I got for the first problem
Part A, 2√5)
5=2.2360679775 5=2x2.2360679775=4.472135955=4.47
Part A, √8)
2 3
V4 8 v9
2 4/5
Part A, √3)
1 2
V1 3 v4
1 2/3 Part A, √27)
5 6
V25 27 v39
5 2/14
-------------------------------------------------------------------------------------------------------------
Part B)
1 2/3 2 3/5 4.47 5 2/14
and this is what I got for the second problem
Step-by-step explanation:
Hope tis helps
1)
В
13
C
105°
7
A
a. 36.2
b40.2
c81.6
d43.9
Answers
Answer:
Step-by-step explanation:
Could you update the question? It is not clear enough
What is the base of a parallelogram with an area of 36 square centimeters, if its height is 3 centimeters?
15 cm
33 cm
9 cm
12 cm
PLS HELP ASAP
Answers
Answer:
12 cmStep-by-step explanation:
Formula_____________
Area of a parallelogram = base × height
==================================
Area of the parallelogram = base × height
⇔
36 = base × 3
⇔
base = 36/3
= 12
What is the most important question jamir needs to consider before he agrees to a lease? will he enjoy driving his new car? will he be able to stay under the 15,000 miles per year limit? will he be able to afford his $432 payment? will he be able to come up with the $2,500 down payment?
Answers
Answer:
Answer is B. Will he be able to stay under the 15,000 miles per year limit?
Step-by-step explanation:
Just took the tes
Answer:
B. Will he be able to stay under the 15,000 miles per year limit?
Step-by-step explanation:
Express the number 68,708 in word form and expanded form.
Word form ?
Expanded form ?
Answers
60000+8000+700+8 in expanded form
hey please i need this really quick
Answers
Answer:
the answer of that question is 45
Consider this quadratic equation. 2x2 − 1 = 3x + 4 Which equation correctly applies the quadratic formula?
Answers
Answer:
[tex]\frac{-(-3)+-\sqrt{(-3)^2-4(2)(-5)}}{2(2)}[/tex]
Step-by-step explanation:
Quadratic formula: [tex]\frac{-b+-\sqrt{b^2-4ac} }{2a}[/tex]
[tex]2x^2-1=3x+4\\\\2x^2-3x-5=0\\\\\\frac{-(-3)+-\sqrt{(-3)^2-4(2)(-5)}}{2(2)} \\\frac{3+-\sqrt{9+40} }{4}[/tex]
[tex]x = \frac{3+-7}{4}[/tex]
Hope this helps and God bless!
12x + 3y = 9 solve for y
Answers
Answer:
[tex]\Longrightarrow: \boxed{\sf{y=3-4x}}[/tex]
Step-by-step explanation:
To solve for y, you have to isolate it on one side of the equation.
12x+3y=9First, you have to subtract by 12x from both sides.
[tex]\Longrightarrow:\sf{12x+3y-12x=9-12x}[/tex]
Solve.
[tex]\Longrightarrow:\sf{3y=9-12x}[/tex]
Then, you divide by 3 from both sides.
[tex]\Longrightarrow:\sf{\dfrac{3y}{3}=\dfrac{9}{3}-\dfrac{12x}{3}}[/tex]
Solve.
[tex]\sf{\dfrac{9}{3}-\dfrac{12x}{3}}[/tex]
[tex]\sf{\dfrac{9-12x}{3}}[/tex]
Use the distributive property.
[tex]\underline{\text{DISTRIBUTIVE PROPERTY:}}[/tex]
⇒A(B+C)=AB+AC9-12x=3(3-4x)
[tex]\sf{\dfrac{3\left(3-4x\right)}{3}}[/tex]
Divide the numbers from left to right.
3/3=1
3-4x
Then, rewrite the problem down.
[tex]\Longrightarrow: \boxed{\sf{y=3-4x}}[/tex]
Therefore, the correct answer is y=3-4x.I hope this helps! Let me know if you have any questions.
Answer:
y = (3) - (4x)
Step-by-step explanation:
Note: Since there is only one equation given, the value of "y" will not be a fixed value.
Given equation:
12x + 3y = 9Our main goal to solve for "y" is to have the y-variable on one side, and a specific value or variable on the other side (e.g., y = 3 or y = 4x) . Start out by subtracting both sides by 12x. This will isolate the y-variable and it's cooeficient (3).
⇒ 12x + 3y = 9⇒ 12x + 3y - 12x = 9 - 12x⇒ 3y = 9 - 12xOnce the y-variable and the cooeificent of the variable have been isolated, we can divide both sides by the cooeficient to isolate the variable.
⇒ 3y/3 = (9 - 12x)/3⇒ y = (9 - 12x)/3⇒ y = (9 ÷ 3) - (12x ÷ 3)⇒ y = (3) - (4x)Therefore, the value of "y" is 3 - 4x.
When building a house, the number of days required to build varies inversely with with the number of workers. One house was built in 136 days by 7 workers. How many days would it take to build a similar house with 34 workers
Answers
Answer:
it would take them 4 days to build the house
Good people I critically need an assistance with great pleasure!!
Answers
Answer:
(y + 3)² - 8
Step-by-step explanation:
y² + 6y +1
Step 1: Divide the co efficient of y by 2
6 ÷2 = 3
Step2: Now find the square of 3
3² = 9
Step3: Add and subtract 9
y² + 6y + 9 - 9 + 1 = y² +6y + 9 - 8
= y² + 2*y*3 + 3² - 8
Compare y² +2 * y*3 + 3² with a² +2ab + b²
= (y + 3)² - 8
Mary is 63.5 inches tall and her sister Tonya is 70 inches tall. Tonya wants to know how many inches taller she is than Mary. Which equation and solution can be used to solve this problem?
x + 70 = 63.5: Subtract 70 from both sides. The answer is 6.5 inches.
63.5 + x = 70: Subtract 63.5 from both sides. The answer is 6.5 inches.
x minus 63.5 = 70: Add 63.5 to the left side and subtract 63.5 from the right side. The answer is 6.5 inches.
63.5 minus x = 70: Subtract 63.5 from both sides. The answer is 6.5 inches.
Answers
Answer: second option
Step-by-step explanation: Mary's age plus X = 70
63.5 + X = 70
Subtract 63.5 from both sides
X = 70 -63.5
Answer 6.5
A bag contains 8 red marbles, 4 blue marbles and 2 green marbles. If two marbles are
drawn out of the bag, what is the exact probability that both marbles drawn will be
red?
Answers
Answer:
Step-by-step explanation:
solve for x : -18 = x -17
Answers
Answer: X= 306/19
Step-by-step explanation:
help I have to turn this is tomorrow and I don’t know how to do it
Answers
Step-by-step explanation:
The area of the triangular base is: 19
square units
How to calculate the base area
The given parameters are:
Volume = 27.36 cubic units
Height = 2.88 unit
The volume of a triangular prism is:
V = 0.5 * B *h
Where B represents the base area.
So, we have:
27.36 = 0.5 * B * 2.88
27.36 B * 1.44 -
Solve for B
B = 19
Hence, the area of the triangular base is: 19 square units
A technology company is going to issue new ID codes to its employees. Each code will have two letters, followed by one digit, followed by one letter. The letters D ,Z G , and and the digit 8 will not be used. So, there are 23 letters and digits that will be used. Assume that the letters can be repeated. How many employee ID codes can be generated?
Answers
The number of times employee ID codes can be generated is that have two letters, followed by one digit, followed by one letter is 109503.
What is arrangement?Arrangement of the things or object is mean to make the group of them in a systematic order, in all the possible ways.
The number of possible ways to arrange is the n!.Here, n is the number of objects.
A technology company is going to issue new ID codes to its employees. Each code will have two letters, followed by one digit, followed by one letter.
The letters D ,Z, G and Z and the digit 8 will not be used. So, there are 23 letters and 9 digits that will be used. The letters can be repeated.[tex]\text{Each code=Two latter + One digit}[/tex]
The first letter is chosen from the 23 letters in 23 number of ways. As letters can be repeated, thus second letter chosen from 23 letters in 23 ways.
One digit can be chosen from the 9 digits in 9 different ways. The last letter can also be chosen in 23 ways. Thus, the number of times employee ID codes can be generated is,
[tex]n=23\times23\times9\times23\\n=109503[/tex]
Thus, the number of times employee ID codes can be generated is that have two letters, followed by one digit, followed by one letter is 109503.
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Determine the total annual fica tax for an annual salary of $38,480. a. $294.37 b. $717.96 c. $2,385.76 d. $2,943.72
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The total annual fica tax for an annual salary of $38,480 is: d. $2,943.72.
Total annual FICA taxFICA tax comprises of:
Social security= 6.2%
Medicare=1.45%
Hence:
Social Security=$38,480 x 0.062
Social security =$2,385.76
Medicare= $38,480 x 0.0145
Medicare=$557.96
FICA tax=$2,385.76+$557.96
FICA tax=$2,943.72
Therefore the total annual fica tax for an annual salary of $38,480 is: d. $2,943.72.
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Answer:
D
Step-by-step explanation:
(Pls need help ASAP) Willing to give 10 points for 1 question)
Answers
Answer:
D. {(1,2) , (2,3) , (3,4) , (4,5)}
Step-by-step explanation:
Functions are relations with one output for any unique input. Relations that pass the vertical line test have one output for each input. In this case, D was the only set that met the criteria.
A dog is leashed to a point in the center of a large yard. If the leash is 18.8 feet long, what is the total area of the region the dog is able to explore? Round to the nearest tenth.
Worth 25 points!! pls hurry I have a test
Answers
Answer:
1109.8 square feet
Step-by-step explanation:
In this case, assume the leash to be the radius of the circular yard.
Area
πr²3.14 x (18.8)²3.14 x 353.441109.8 square feetHELP PLEASE! Chords NO and PQ are congruent. Arc NO measures 4x + 10 and Arc PQ measures 2x + 20. What is each of their measures?
Answers
4x - 2x = 20 - 10
2x = 10
x = 5
The measure of each arc is 30.
What is the arc of a circle?The arc of a circle is defined as the part or segment of the circumference of a circle.
Given that, a circle, Chords NO and PQ are congruent. Arc NO measures 4x + 10 and Arc PQ measures 2x + 20.
We know that,
Chord Arcs Theorem :-
If two chords in a circle are congruent, then their intercepted arcs are congruent.
2x+20 = 4x+10
2x = 10
x = 5
Therefore,
2(5) + 20 = 30
Hence, the measure of each arc is 30.
Learn more about arcs, click;
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Colleen is attending a carnival. The price of admission to the carnival is shown. It costs $3 to play a game. Colleen has $35.
A Ferris wheel is shown. Carnival admission is eight dollars.
What is the greatest number of games she can play?
Answers
Answer:
9
Step-by-step explanation:
Reduce the admission fee. Then divide the rest with cost per game
35 - 8 = 27
=> 27/3 = 9
Which is an equation for the line that contains the points (-2, 3) and (2, -1)?
Answers
Answer:
J
Step 1. Find slope
(-1 - 3)/(2 + 2)
-4/4
m = -1
Step 2. Write equation
y - 3 = -1 (x + 2)
y = -x -2 + 3
y = -x + 1
Answer:
Step-by-step explanation:
First find the slope:
[tex]\frac{-4}{4} =-1[/tex]
This immediately rules out all answers but J.
3x−4/5=−1/2
What is the value of x?
Answers
3x = -5/10 + 8/10
3x = 3/10
x = 3/10 / 3
x = 3/10 x 1/3
x = 1/10
The function f is defined by f(x) = x^2 + 3x -10 , if f(x + 5) = x^2 + kx + 30, k=
Answers
Answer:
k = 13
Step-by-step explanation:
substitute x = x + 5 into f(x) , that is
f(x + 5) = (x + 5)² + 3(x + 5) - 10 ← expand squared factor using FOIL
= x² + 10x + 25 + 3x + 15 - 10
= x² + 13x + 30
compare this with f(x + 5) = x² + kx + 30
for the 2 expressions to be equal , then k = 13