Answers
I think your teacher may have made a typo. Refer to the diagram below. If we ignore segment ZA for now, we can see a rectangle forms with angle W = angle Y = 90. Also, we can see that WX = 6 is the horizontal base and WZ = 8 is the vertical height.
However, the side opposite WZ (which is XY) should also be 8 cm tall, and not 6 cm. If XY was 6 cm, then point Y would move to where point A is located (and the quadrilateral would be WXAZ instead of WXYZ). This new quadrilateral would not have a 90 degree angle at point Y's new location.
In other words, if we want angle Y to be 90 degrees, then side XY must be 8 units long. I have a feeling this is where the typo is, but your teacher might have been intending to say something else.
XZ is the line of symmetry
The area = 2 x (1/2 x 6 x 8)
= 48 cm^2
Related Questions
Mrs. Santiago's consumer science class is making two different-size cheesecakes for
a fundraiser.
The large cheesecake has a diameter of 12 inches
The small cheesecake has a diameter of 4 inches
Part A: If the pans are both 3 inches deep, how many times greater is the volume
Of the large pan than that of the small pan? Show your work
Part B: When shipped, the large cheesecakes will be packaged in a box with dimensions of 12 in x
12 in x 3 in. What percentage of the box does the large cheesecake take up?
Show all work for each part and give at least 2 sentences explaination for each part.
Answers
Answer:
Part A: 9 times
Part B: 79%
Step-by-step explanation:
Part A:
Volume of the large pan = πr²h
Where,
radius (r) = ½(diameter) = ½(12) = 6 in.
height (h) = 3 in.
Volume = π*6²*3
Volume of the large pan = 339.29 in.³
Volume of the small pan = πr²h
r = ½(4) = 2 in.
h = 3 in
Volume of small pan = π*2²*3
Volume of the small pan = 37.7 in.³
✔️To determine how many times the volume of the large pan is greater than the small pan, divide the volume of the larger by the smaller:
= 339.29/37.7 ≈ 9
✅The volume of the large pan is about 9 times greater than the volume of the smaller pan.
Part B:
✔️Find the volume of the box:
Volume of box = L*W*H
Where,
L = 12 in.
W = 12 in.
H = 3 in.
Volume of the box = 12*12*3 = 432 in.³
Divide the volume of the large pan over the volume of the box and multiply by 100%
Thus:
339.29/432 × 100
= 78.5393519 ≈ 79%
The large cheesecake takes up about 79%
Juan is 5 and his mom is 35. In how many years will Juan's mom be 3 times Juan's age?
Answers
Juan will be 15 and his mom will be 45
15x3=45
Answer:
10 yrs
Step-by-step explanation:
Juan is 5 yrs now, mom is 35.
add 10 yrs to both the ages
juan is 15 and mom is 45
15 x 3=45
Find the circumference of circle L. Write your answer as a decimal, rounded to the nearest hundredth.
Answers
I hope this answers your question and best of wishes!!
A furniture maker has two pieces of wood. One is 48 inches long, and the other is 64 inches long. The wood needs to be cut into pieces of equal length with no wood left over. What is the greatest possible length the furniture maker can cut each piece of wood?
A) 24 inches
B) 16 inches
C) 12 inches
D) 8 inches
Answers
Answer:
Step-by-step explanation:
16
Young people ages 15-24 are accountable for ____ of the total costs of motor vehicle injuries.
10%
20%
30%
40%
Answers
Answer:
30%
Step-by-step explanation:
How many glasses of lemon juice and water are need to make 15 glasses of lemonade
A.14 glasses of lemon juice 1 glass of water
B.10 glasses of lemon juice 5 glasses of water
C.6 glasses of lemon juice 9 glasses of water
D.3 glasses of lemon juice 12 glasses of water
Answers
Answer:
Option B:10 glasses of lemon juice and 5 glasses of water
Please help!
A circle is defined by the equation below:
x^2 + y^2 - x - 2y - 11/4 = 0
What are the coordinates for the center of the circle and the length of the radius?
Answers
Answer:
Step-by-step explanation:
We know that the equation of a circle is:
(
x
−
a
)
2
+
(
y
−
b
)
2
=
R
2
where a and b are the coordinates of the center, and R is the radius.
So in this question we have to complete the squares:
x² + y² - x - 2y - 11/4 = 0 ->
x² - x + 1/4 + y² - 2y = 11/4 +1/4 ->
(x - 1/2)² + y² - 2y + 1 = 12/4 + 1 ->
(x - 1/2)² + (y - 1)² = 4
Therefore, the coordinates of the center are C = ( 1/2, 1) and the Radius is R = 2
x² + y² - x - 2y - 2³/₄ = 0
x² + y² - x - 2y = 2³/₄
x² - x + y² - 2y = 2³/₄
(x² - x + 1) + (y² - 2y + 4) = 2³/₄ + 1 + 4
(x - 1)² + (y - 2)² = 7³/₄
The coordinates for center of the circle is equal to (1, 2). The coordinates of the length of the radius is √(³¹/₄).
7- write the equation of the line that passes through points A(6,1) and B(9,4)
I
Answers
Answer:y=x-5
Step-by-step explanation: Use (y2-y1)/(x2-x1) fill those in and get (4-1)/(9-6) which is 3/3 and that is 1 for the slope. Now fill in y=1x with a given coordinate and try to find the y-intercept so we would do 1=1(6) and we need to make the right side equal to the left so we subtract 5. Ending us with y=x-5.
pls help me find the operations of 3a^2+4a^2+7a^2
Answers
Answer:
14a^2
Step-by-step explanation:
3a^2+4a^2+7a^2
Combine like terms
Factor out a^2
a^2(3+4+7)
a^2(14)
14a^2
Answer:
14 a²
Step-by-step explanation:
3a² + 4a² + 7a²
collect like terms
(3 + 4 + 7)a² .. ( factor out :- a²)
calculate the sum
14 a²
Samantha earned $15 per hour. After a raise, she now earns $16.50 per hour. What is the percent increase of Samantha’s wages?
Answers
Answer:
1.5 percent I 5hink 9ook
At the beginning of the year, the local aquarium has 2,000 fish. Since then, the population has grown by 5% each month.
Which expressions represent the number of fish, in thousands, in the aquarium 3 years later if the population continues growing at this rate?
They are multiple choice
Answers
Answer: The third one
The area of Ray’s rectangular living room, in square feet, can be found by using the expression 4(3x+3y). Use the distributive property to write an equivalent expression for the area of Ray’s living room. Equivalent Expression Use your equivalent expression to find the area of Ray’s living room, in square feet, if x = 2 and y = 4. Write answer here: square feet Show work
Answers
Answer:
Area = 72 square feet
Step-by-step explanation:
[tex]4(3x+3y)[/tex]
Multiply the four to the values inside the parentheses to find the "equivalent expression"
[tex]12x +12y[/tex]
Using the "equivalent expression" we found above, we now want to find the area of Ray's living room, in square feet if [tex]x=2[/tex] and [tex]y = 4[/tex]
[tex]12(2) + 12(4)[/tex]
[tex]= 24 +48[/tex]
[tex]= 72[/tex]
The point (4, -8.5) is reflected across the y axis on a coordinate plane to create a new point. What is the distance between the two points in units.
Answers
Answer:
8units
Step-by-step explanation:
If the coordinate (x,y) is reflected over the y axis, the resulting coordinate will be (-x, y)
For the coordinate (4,-8.5), the resulting point after reflection will be (-4, -8.5)
Using the distance formula;
D = √(x₂-x₁)²+(y₂-y₁)²
D = √(-8.5+8.5)²)²+(-4-4)²
D =√(-8)²
D = √64
D = 8
Hence the required distance is 8units
On a clear day you can see about 27 miles from the observation deck of the
Empire State Building in New York City. Using the formula below, estimate the
height in feet, h, of the observation deck. The distance, d, is in miles, and the
height, h, is in feet.
dava
A. 4.3 miles
B. 506 feet
C. 875 feet
D. 1050 feet
Answers
According to the Bureau of Labor Statistics, healthcare occupations is projected to grow from approximately 13.6 million jobs in 2018 to about 15.5 million jobs in 2028. Healthcare occupations are projected to add more jobs than any of the other occupational groups. This projected growth is mainly due to an aging population, leading to greater demand for healthcare services.
Answers
Answer:
The correct answer is "14%".
Step-by-step explanation:
Given:
Jobs in 2018,
= 13.6 million
Jobs in 2028,
= 15.5 million
Now,
In healthcare occupation, the projected percent increase will be:
= [tex]Increase \ in \ jobs\times \frac{100}{No. \ of \ jobs \ in 2018}[/tex]
By putting the values, we get
= [tex](15.5-13.6)\times \frac{100}{13.6}[/tex]
= [tex](1.9)\times \frac{100}{13.6}[/tex]
= [tex]13.97[/tex] (%)
or,
= [tex]14[/tex]%
Answer:
its 14
Step-by-step explanation:
i got it right
write 12/16 as a fraction in simplest form . Then write the equivalent decimal and percent. Show your work.
simple form
decimal
Percent
Answers
Answer:
3/4, 0.75, 75%
Step-by-step explanation:
[tex]\frac{12}{16}[/tex]
divide top and bottom by 4
[tex]\frac{3}{4}[/tex]
1. The equation is of the form , where a, b, and c are all positive integers and . Using this equation as a model, create your own equation that has extraneous solutions. (a) Using trial and error with numbers for a, b, and c, create an equation of the form , where a, b, and c are all positive integers and such that 7 is a solution. (Hint: Substitute 7 for x, and choose a value for a. Then square both sides so you can choose a, b, and c that will make the equation true.) (b) Solve the equation you created in Part 2a. (c) If your solution in Part 2b did not have an extraneous solution, revise your equation so that 7 is one solution and there is an extraneous solution. If your solution in Part 2b did have an extraneous solution, create another equation with different values of a, b, and c that also has 7 as one solution and an extraneous solution.
Answers
Answer:
[tex]7 + a = \sqrt{7b + c}[/tex] --- equation
[tex]a = 3; b =5\ and\ c = 65[/tex] --- the equation is true for these values
[tex]a = 4; b=5\ and\ c = 10[/tex] --- the equation is extraneous for these values
Step-by-step explanation:
Given
[tex]x +2 = \sqrt{3x + 10[/tex]
[tex]x + a = \sqrt{bx + c}[/tex]
Solving (a): Equation to solve for a, b and c, using trial by error where [tex]x = 7[/tex]
We have:
[tex]x + a = \sqrt{bx + c}[/tex]
Substitute 7 for x
[tex]7 + a = \sqrt{7b + c}[/tex] --- This is the equation
Solving (b): Solve for a, b and c --- to make the equation true
[tex]7 + a = \sqrt{7b + c}[/tex]
Let a = 3 ----- Here, we choose a value for a
[tex]7 + 3 = \sqrt{7b + c}[/tex]
[tex]10 = \sqrt{7b + c}[/tex]
Square both sides
[tex]100 = 7b + c[/tex]
Let b = 5 --------- Here, we choose a value for b
[tex]100 = 7*5 + c[/tex]
[tex]100 = 35 + c[/tex]
Subtract 35 from both sides
[tex]c = 65[/tex]
So, [tex]x + a = \sqrt{bx + c}[/tex] is true for
[tex]a = 3; b =5\ and\ c = 65[/tex]
Solving (b): Solve for a, b and c --- to make the equation false
[tex]7 + a = \sqrt{7b + c}[/tex]
Substitute [tex]a = 4; b=5\ and\ c = 10[/tex]
So, we have:
[tex]7 + 4 = \sqrt{7*5 + 10}[/tex]
[tex]11 = \sqrt{35 + 10}[/tex]
Square both sides
[tex]121 = 45[/tex] --- This is false
i.e.
[tex]121 \ne 45[/tex]
1. Find the sum of the measures of the interior angles of a convex hexagon.
a. 900°
b. 1080°
c. 720°
d. 1440°
Answers
Answer:
could you include a pic please?
What is the mass of an object that has an acceleration of 55 m/s^{2} when a net force of 20 N is applied? (round to the nearest tenth)
Answers
55/20= 2.75
So 2.75 would be your answer
work out 37.56 divided by 12 and show working out
Answers
[tex]\longrightarrow{\green{3.13}}[/tex]
[tex]\sf \bf {\boxed {\mathbb {Step-by-step\:explanation:}}}[/tex]
[tex] \frac{37.56}{12} [/tex]
➺ [tex]\:3.13[/tex]
[tex]\bold{ \green{ \star{ \orange{Mystique35\:ヅ}}}}⋆[/tex]
Answer:
3.13
Step-by-step explanation:
sorry that is All what I can say please don't be mad at me
Find the area of the sector in
terms of pi.
12
210°
Area
=
[?]
T
Answers
A= 210/360 x π(12)^2
Answer:
84pi
Step-by-step explanation:
Sector Area = (pi x r^2 x *angle*)/ 360
(pi x 12^2 x 210)/ 360
= 84pi
= 263.893
Given the functions f(x) = 2x – 1 Tand g(x) = 2x + 4, which operation results in the largest coefficient on the x term
Answers
Multiplication.
Step-by-step explanation:Given functions:
f(x) = 2x - 1
g(x) = 2x + 4
Let's perform some basic arithmetic operations on them to see which will result in the largest coefficient of the x term
i. Addition.
f(x) + g(x)
(2x - 1) + (2x + 4)
2x - 1 + 2x + 4
4x + 3
Here, the x term has a coefficient of 4
ii. Subtraction
f(x) - g(x)
(2x - 1) - (2x + 4)
2x - 1 - 2x - 4
-5
Here, the x term does not exist or has a coefficient of 0
iii. Multiplication.
f(x) * g(x)
(2x - 1) * (2x + 4)
4x² + 8x - 2x - 4
4x² + 6x - 4
Here, the x term has a coefficient of 6
iv. Division
Division is not exactly applicable here since there are not terms cancelling out.
Therefore, the multiplication operation will result in the largest coefficient on the x term with the coefficient being 6
A medical company tested a new drug on 100 people for possible side
effects. This table shows the results.
Side effects No side effects
Total
Adults
6
44
50
Children
20
30
50
Total
26
74
100
Compare the probability that an adult has side effects with the probability
that a child has side effects. Draw a conclusion based on your results.
Answers
Answer:
the answer is 0.40 and 0.12 children have much greater chance of having side effects than adults mark me brainiest
Step-by-step explanation:
The correct option is P(side effects | child) = 0.40 and P(side effects | adult) = 0.12. Conclusion is Children have a much higher chance of having side effects than adults.
Total number of people tested = 100
Number adults = 50
Number of adults who got side effects = 6
Probability that the adult got side effects = 6/50 = 0.12
Number of children = 50
Number of children who got side effects = 20
Probability that the children got side effects = 20/50 = 0.40
Here, it is clear that probability that the children got side effects is greater than that adult got side effects.
So, Children have a much higher chance of having side effects than adults.
Learn more about Probability here :
https://brainly.com/question/29864422
#SPJ7
Write an equation of the parabola that passes through the point (46, - 150) and has x-intercepts - 4 and 56 . Then find the average rate of change from x= -4 to x=6.
An equation is y =
The average rate of change is
Answers
Answer:
6w83ywytahausjsshshfwgwyee
$70,000 - 17 1/2 % .
if i get this right i get the iphone xr
Answers
Answer:
$57750
Step-by-step explanation:
$70,000 - 17.5%
17.5 % = .175
.175 * $70000 = $12250
$70000 - $12250 = $57750
Can someone please help me with this. ANYONE!
Answers
Answer:
Step-by-step explanation:
1 OF 3OR5
The speed of an airplane is 1,240 km per hour. Find the distance covered by the airplane in
3 hours and 20 minutes. Also, express the distance in scientific notation.
Answers
Answer:
the answer is 4133.33...km
Explaination:
Distance = speed x time
Distance = 1240 x 10 / 3 = 4133.33... Km
If f(x) = 3x - 1 and g(x) = x + 2, find (f+ g)(x).
Answers
Answer:
D. 3x + 1
Step-by-step explanation:
CAN SOMEONE HELP ME WITH THIS PLEASE AND THANK YOU.
Answers
Answer:
six and one over twelve
Step-by-step explanation:
1/4 + 5 5/6=1/4+35/6 = 6 1/12
step 3 35
6
step 4 answer = 35
6
Larry deposits $1,500 in a savings account. How much interest would accrue after 10 years at a 2.5% rate?
Answers
Answer:
6000 dollar store for the day of a rectangle
Answer:
if its simple interest: $375 in interest, so he would have $1875 in total
if its compound interest: $420.13 in interest, so he would have $1920.13 in total
Step-by-step explanation:
I=Prt for simple interest, where I is interest, P is principle or the original amount, r is the interest rate, and t is the amount of time.
but compound interest adds on to the total instead of the initial savings so its more complicated