Problem 8
The triangles are congruent, which means their corresponding pieces must also be congruent.
angle A = angle Dangle B = angle Eangle C = angle FFocus on the second equation above. We can further say
angle B = angle E
E = B
12x+30 = 50
12x = 50-30
12x = 20
x = 20/12
x = 10/6
----------------
Now move to the equation involving C and F to get
F = C
(y/2) - 10 = 40
y/2 = 40+10
y/2 = 50
y = 2*50
y = 100
----------------
And finally,
D = A
sqrt(z) = 90
z = 90^2
z = 8100
=======================================================
Problem 11
The radius of the circle is r = 5.
The area of the circle is A = pi*r^2 = pi*5^2 = 25pi
The diameter of the circle is 2*r = 2*5 = 10, which is the side length of the square because the circle is fit perfectly inside the square.
Since the square side length is 10, the area is 10^2 = 100
Subtract the two areas: large-small = square - circle = 100 - 25pi
We subtract the areas because we're basically kicking out the circle area when we don't shade it. Think of it like sawing out that portion of a wooden block perhaps.
=======================================================
Problem 19
Part (a)
The point P is directly below the center and it is on the circle.
The location of point P is (18,0) because the x coordinates of both points are the same (so that P is directly below the center) and P resides on the x axis. All points on the x axis have y coordinate 0.
------------------------------
Part (b)
The radius of the circle is r = 10 which is the distance from the center to point P.
The area of the circle is therefore A = pi*r^2 = pi*10^2 = 100pi
Answer: 100pi
There were 35 fish in lake.
Then they Increased to 70. What is percent of change?
Answer:
200%
Step-by-step explanation:
35*200%
35*2
70
Answer:
Step-by-step explanation: The answer is 50% hope you pass the assignment
7 less than one fourth of x is y
Polynomial
27 – 3x3 - 2x
Standard form
Answer:
[tex]-3x^3-2x+27 \ is\ the\ standard\ form.[/tex]
Step-by-step explanation:
The standard form of a polynomial is its representation in a descending order starting from the term with the highest degree to the one with the lowest.
Here,[tex]-3x^3-2x+27 \ is\ the\ standard\ form.[/tex]
somebody please help me what is 15 / 3 ×7/20
Answer:
1.75
Step-by-step explanation:
By Order of Operations, You read it left to right since Multiplication and Division are of the same importance. You would start with 15/3, which is 5.
Then your equation would be: 5*7/20.
Again, you would just read it left to right, 5*7=35
Then divide by 20, which is 1.75.
Plz help me am dam at math I will gave Brainliest
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[tex]volume = 8 \times 7 \times \frac{1}{2} \\ [/tex]
[tex]volume = 8 \times \frac{1}{2} \times 7 \\ [/tex]
[tex]volume = \frac{8}{2} \times 7 \\ [/tex]
[tex]volume = 4 \times 7[/tex]
[tex]volume = 28 \: \: \: {m}^{3} [/tex]
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Answer:
28
Step-by-step explanation:
8 x 7 x 1/2
8 x 7 = 56
56 x 1/2 = 28
The distance on a map between lake view and bay cove is 4.5 inches. The map key says 0.5 inches on the map is equivalent to 1 mile. what is the actual distance between Lake view an bay cove?
Answer:
9 miles
Step-by-step explanation:
yes i used a calculator
Answer:
9 miles.
Step-by-step explanation:
What I did was 4.5/.5
The I got 9. Then I checked it on a calculator and got 9 again.
So.. your answer is 9 miles.
Hope this helped ya!
Which unit rate is the lowest price per ounce? (5 points)
Choice A: 22 ounces of potato chips for $3.49
Choice B: 40 ounces of potato chips for $4.79
Answer:choice b
Step-by-step explanation:
I just took the trst
3x-10=-25
Solve
NEED HRLP ASAP
Answer:
the answer is -5
Step-by-step explanation:
Answer:
x=-5
Step-by-step explanation:
trust
2 3/4 divided by 1 1/2
Answer:
1/2
Step-by-step explanation:
Answer:
1 5/6
Step-by-step explanation:
4. What value should go in the place of the unknown amount.*
2 cakes
25 people
?
125 people
Answer:
8
Step-by-step explanation:
square root of 2222
Answer:
47.1380949976
Step-by-step explanation:
use google calculator or calculator soup
Can someone help me ASAP plz?
Answer:
D
Step-by-step explanation:
1 cm is 18 miles. if you have 14 cm you multiply 14 cm by 18 miles. you get 252 miles for 14 cm.
HELP PLEASE I BEG U I DONT WANNA FAIL
Answer:
The second one
Step-by-step explanation:
A function is a group of ordered pairs that do not have the same ordered pair. The second one has 2 fives in the x coordinate, therefore the second one is not a function
At an online fruit dealer, it costs $39 for 75 cases of bananas. What is the unit price?
Answer:
$0.52 cents per banana. $39 divided by the 75 bananas
Step-by-step explanation:
Answer:
$0.52
Step-by-step explanation:
When finding the unit price, we use divide the certain number of units of an item by the number of units
So for this question we will divide 39/75 to get a result of $0.52
Find the quotient. 6 1/2 divided by 3 2/3
Answer:
Multiply both numbers by 10 and create a fraction. Then simplify that fraction by dividing both top and bottom by the greatest common factor.
Step-by-step explanation:
Treating 3 1/2 as 3.5 you could set up the fraction as such.
3.5 x 10 = 35
21 x 10 = 210
so you have the fraction 35/210. The GCF of the top and bottom is 35. There is one 35 in 35 and six 35s in 210
So the fraction in the simplest form is 1/6. So the quotient is 1/6.
Sales tax is 7.25%. If Liz buys the game system for $245.65, how much will Liz spend altogether?
Unmute your mic and "meow" to show that you need to round to the nearest cent.
can someone help me and explain the equation
Answer:
Jason would have to work 60 hours.
Step-by-step explanation:
The equation you would use would be 450 + 12.50t = 1200.
1200 is the money needed, 450 is a constant factor, but the 12.50 changes depending on how many hours Jason works.
You will have to use inverse operations so you would go 450 + 12.50t - 450 = 1200 - 450. That equals 12.50t = 750. Then you divide 12.50 by 750 because 12.50t is multiplying. 750 ÷ 12.5 = 60. So Jason has to work 60 hours!
If this helped I would appreciate it if you marked me Brainliest. thank you and have a nice day!
Twelve times a number increased by 6
Answer:
12 x n + 6
Step-by-step explanation:
n = unknown number
Please i need help whats 1/5x - 2 = 4
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[tex] \frac{1}{5} x - 2= 4 \\ [/tex]
Add sides 2
[tex] \frac{1}{5} x - 2 + 2 = 4 + 2 \\ [/tex]
[tex] \frac{1}{5} x = 6 \\ [/tex]
Multiply sides by 5
[tex]5 \times \frac{1}{5} x = 5 \times 6 \\ [/tex]
[tex]x = 30[/tex]
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[tex] \frac{1}{5x} - 2 = 4 \\ [/tex]
Add sides 2
[tex] \frac{1}{5x} - 2 + 2 = 4 + 2 \\ [/tex]
[tex] \frac{1}{5x} = 6 \\ [/tex]
Inverse both sides
[tex]5x = \frac{1}{6} \\ [/tex]
Divide sides by 5
[tex] \frac{5x}{5} = \frac{1}{6} \div 5 \\ [/tex]
[tex]x = \frac{1}{6} \times \frac{1}{5} \\ [/tex]
[tex]x = \frac{1}{30} \\ [/tex]
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Answer:
x=1/3
Step-by-step explanation:
Factorise w2 + 4w need help asap
Answer:
hehehehehehehehehehehehehe
Samir's retirement party will cost $294 if he invites 6 guests. If there are 12 guests, how much will Samir's retirement party cost? Solve using unit rates.
Answer:
$588
Step-by-step explanation:
$294 = 6 Guests
$588 = 12 Guests
PLEASE HELP I NEED THIS TODAY!!
Answer:
25[tex]\pi[/tex]
Step-by-step explanation:
the area of circle formula: [tex]\pi r^{2}[/tex]
And the radius is 5, so 5^2= 25
Thus, the answer is 25[tex]\pi[/tex]
Answer:
78.5
Step-by-step explanation:
π[tex]r^{2}[/tex] = APlug in our numbers: 3.14 × [tex]5^{2}[/tex] [tex]5^{2} = 25[/tex] 3.14 × 25 = 78.5I hope this helps!
Jade has $100 to spend on shoes and socks.She buys a pair of shoes for $75 and and wants to spend the rest of the money on socks.Each pair of socks costs $3.50. What is the greatest number of pairs of socks that jade can buy
Answer:
21.5
Step-by-step explanation:
Help.................
Answer:
x=120 degrees
Step-by-step explanation:
Vertical angles are congruent
Andre wrote the expression −5+4x÷3 to represent the relationship shown in the table. Find two other expressions that also represent the relationship shown in the table.
Select all that apply.
A.
5+(−4x÷3)
B.
4x−5
3
C.
3÷(−5)+4x
D.
4
3x−5
E.
(−5+4)+x÷3
F.
4x÷3+(−5)
Answer:
y=mx+b
Step-by-step explanation:
Will give extra points to whoever solves this
Answer:
Step-by-step explanation:
As Angle 5 and Angle 4 form a linear pair, they are supplementary.
Hence,
[tex]Hence,\\Angle\ 5\ +\ Angle\ 4\ =\ 180\\(3x+7)+(9x-43)=180\\12x+(-36)=180\\12x=180+36\\12x=216\\x=18\\\\Hence, Obtuse\ Angle\ UPS = Angle\ 4 + 90\\Hence,\\Obtuse\ Angle\ UPS\ = (3x+7)+90\\\\We\ know\ that\ x=18 \\Hence, Angle\ 4\ = (3*18+7)\\=(54+7)\\=61\\\\Obtuse\ Angle\ UPS\ = 61+90\\=151\\\\\\Reflex\ Angle\ UPS\ = 360-151\\=209[/tex]
Prime numbers up to 30
Answer:
2, 3, 5, 7, 11, 13, 17, 19, 23, 29
Step-by-step explanation:
Answer:
2, 3, 5, 7, 11, 13, 17, 19, 23 and 29!
Step-by-step explanation:
I need some help please
Answer:
its b 2i/5
Step-by-step explanation:
The following graph represents the cost and revenue functions for custom-made computers. How many computers
have been sold at the break-even point?
a 12
b 9
C 5
d. 0
Answer:
A. 12
Step-by-step explanation:
The following graph shows the proportional relationship between the cost and duration of a car rental.Which statements about the graph are true?
Choose all answers that apply:
Choose all answers that apply:
(Choice A)
A
The yyy-coordinate of point AAA represents the total cost of a 555-day car rental.
(Choice B)
B
The total cost of a 222-day car rental is \$90$90dollar sign, 90.
(Choice C)
C
None of the above
Answer:
The y-coordinate of point A represents the total cost of a 5-day car rental.
Step-by-step explanation: