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
3x-10=-25
Solve
NEED HRLP ASAP
Answer:
the answer is -5
Step-by-step explanation:
Answer:
x=-5
Step-by-step explanation:
trust
Factorise w2 + 4w need help asap
Answer:
hehehehehehehehehehehehehe
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!
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 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.
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!
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:
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
7 less than one fourth of x is y
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]
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
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]
4. What value should go in the place of the unknown amount.*
2 cakes
25 people
?
125 people
Answer:
8
Step-by-step explanation:
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.
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!
Twelve times a number increased by 6
Answer:
12 x n + 6
Step-by-step explanation:
n = unknown number
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:
2 3/4 divided by 1 1/2
Answer:
1/2
Step-by-step explanation:
Answer:
1 5/6
Step-by-step explanation:
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:
square root of 2222
Answer:
47.1380949976
Step-by-step explanation:
use google calculator or calculator soup
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
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
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
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 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
Help.................
Answer:
x=120 degrees
Step-by-step explanation:
Vertical angles are congruent
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:
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.