Answer:
1)54° 2)5π 3)a=3π 4)b 5)(x – 11)^2+ (y – 6)^2=36 6)center=(7,-6) radius=5 8)b
Step-by-step explanation:
1- π radians = 180°
so 3π/10=(3*180)/10=54°
2- in order to find arc length we need to find the ratio of the angles then make that equal to the ratio of the arc length to the perimeter:
x=arc length of HN
150/360=x/2πr
5/12=x/2*6π
5/12=x/12π
12*5π=12x
x=5π
3- in order to find the area of the shaded region we have to take the ratio of the angles and make that equal to the ratio of the area of the shaded region to the whole area:
a=area of the shaded region
30/360=a/πr^2
1/12=a/36π
36π=12a
a=3π
4- a slice of a 16 inch pizza has an area of 64π/8=8π
two slices of a 10 inch pizza has an area of 2*(25π/8)= 6.25π
therefore we would be more satisfied with a slice of an 16 inch pizza, which is b.
5- the formula for the equation of a circle is: (x – h)^2+ (y – k)2 = r2
h=x-coordinate of the center point k= y-coordinate of the center r=radius
in this question the center is (11,6) so h=11, k=6 and the radius is 6 so r=6
we plug in
(x – 11)^2+ (y – 6)^2=36
6- h=7 k=-6 so the center is (7,-6)
radius=5
8- center=(1,3) and radius=2
so the graph that corresponds to these values is b
[tex]3\sqrt{x} -1\leq 12[/tex]
Answer:
0≤x≤169/9
Step-by-step explanation:
Please help ASAP!! Thanks
Answer:
I and III
Step-by-step explanation:
I ) AC // BD , So as per basic proportionality theorem
ΔACE ~ ΔBCD
III)AC // BD
∠A ≅ ∠CBD {Corresponding anlges}
What is the area? Please help
Answer:
75
Step-by-step explanation:
A=1/2h(a+b) =10÷2=5(10+5)=5×15
=75What is 4 and 3/4 - 1 and 1/3? The answer is one of these: 2 and 2/7, 2 and 2/12, 3 and 5/12, or 3 and 5/7
Answer:
3 and 5/12
Step-by-step explanation:
[tex]4 \frac{3}{4} = \frac{19}{4}\\ \\1\frac{1}{3} = \frac{4}{3}[/tex]
[tex]\frac{19}{4} - \frac{4}{3} \\\\\frac{19(3) - 4(4)}{12} \\\\\frac{57 - 16}{12} \\\\\frac{41}{12} \\[/tex]
This fraction is equivalent to,
[tex]3 and 5/12 = 3\frac{5}{12} = \frac{12*3 + 5}{12} = \frac{41}{12}[/tex]
What is the volume of the prism below?
Answer:
432 in.^3 or D.
Step-by-step explanation:
Answer:
D) 432 in³
Step-by-step explanation:
4 x 6 = 24
5 x 6 = 30
30 + 24 = 54
54 x 8 = 432
D Question 5 5) A bag contains colored paper clips. 2 clips are green 4 clips are orange 2 clips yellow A paper clip will be randomly selected from the bag. What is the probability in decimal form that the paper clip selected will be green?
Answer:
0.125
green
Step-by-step explanation:
Since we know that there is 8 clips (2+2+4) and then we take 4/8 as a decimal and we then get 0.125
Answer: 0.25
Step-by-step explanation: 2+4+2=8 8clios in the bag and 2 are green, so 2/8 is the probability it will be a green selected. 2/8 in decimal form is 0.25
A CD usually sells for $17.00. If the CD is 20% off, and sales tax is 6%, what is the total price of the CD, including tax?
A.
$14.42
B.
$15.32
C.
$13.52
D.
$14.62
Answer:
14.42
Step-by-step explanation:
17.00 x .80 20% off means price is 80% (or .80) of price
=13.6
13.6 x .06 = .82 sales tax
13.60 + .82 = 14.42 sales price plus sales tax
Heather drew a scale drawing of a shopping center. The parking lot, which is 60 meters long in real life, is 12 centimeters long in the drawing. What is the scale of the drawing?
Answer:
1 cm = 5 meters
Step-by-step explanation:
A scale drawing is a reduced form in terms of dimensions of an original image / building / object
the scale drawing is usually reduced at a constant dimension
scale of the drawing = original dimensions / dimensions of the scale drawing
60 meters / 12 centimetres
5 meters / 1 centimetres
Gayle graphs the parabola (y + 1)2 = 12 (x – 3). How does she proceed? Drag a value, coordinates, equation, or word to the boxes to correctly complete the statements. Gayle identifies that the vertex of the parabola is The parabola opens and the focus is units away from the vertex. 1 The directrix is units from the focus. The focus is the point The directrix of the equation is TE <
Answer:
1. (3,-1)
2. Right
3. 3
4. 6
5. (6,-1)
6. x=0
Explanation: Took the test
Answer:
Step-by-step explanation:
Please help, thankss
Answer:
The second option 5x.
Step-by-step explanation:
Because it says 'x inches each' knowing that it said 5 before that. (5x) no math included just wording and phrasing :)
Please help me out, right answers are favored
Answer:
y<_19x-11
Step-by-step explanation:
<_ it means less than and equal too hope it helps
Please help and show workings!
Answer:
[tex]162\sqrt{3}[/tex]
Step-by-step explanation:
The equation for finding the area of a hexagon with a side length is
[tex](s^23\sqrt{3} )/2[/tex]
insert [tex]6\sqrt{3}[/tex]
and you are left with 162\sqrt{3}
Hope that helps :)
Answer:
[tex] \displaystyle E)\: 162 \sqrt{3} [/tex]
Step-by-step explanation:
we are given a side a polygon
and said to figure out the area
recall the formula of regular polygon
[tex] \displaystyle \: \frac{ {na}^{2} }{4} \cot \left( \frac{ {180}^{ \circ} }{n} \right) [/tex]
where a represents the length of a side
and n represents the number of sides
the given shape has 6 sides
and has a length of [tex]\displaystyle 6\sqrt{3}[/tex]
so our n is 6 and a is 6√3
substitute the value of n and a:
[tex] \displaystyle \: \frac{ {6 \cdot \:( 6 \sqrt{3} })^{2} }{4} \cot \left( \frac{ {180}^{ \circ} }{6} \right) [/tex]
reduce fraction:
[tex] \displaystyle \: \frac{ {6 \cdot \:( 6 \sqrt{3} })^{2} }{4} \cot \left( \frac{ { \cancel{180}^{ \circ}} ^{ {30}^{ \circ} } }{ \cancel{6 \: } } \right) [/tex]
[tex] \displaystyle \: \frac{6 \cdot \: (6 \sqrt{ {3} } {)}^{2} }{4} \cot( {30}^{ \circ} ) [/tex]
simplify square:
[tex] \displaystyle \: \frac{6 \cdot \: 36 \cdot \: 3 }{4} \cot( {30}^{ \circ} ) [/tex]
reduce fraction:
[tex] \displaystyle \: \frac{6 \cdot \: \cancel{36} \: ^{9} \cdot \: 3 }{ \cancel{ 4 \: } } \cot( {30}^{ \circ} ) [/tex]
[tex] \displaystyle \: 6 \cdot \: 9 \cdot \: 3 \cot( {30}^{ \circ} ) [/tex]
simplify multiplication:
[tex] \displaystyle \: 162\cot( {30}^{ \circ} ) [/tex]
recall unit circle:
[tex] \displaystyle \: 162 \sqrt{3} [/tex]
hence, our answer is E
TJ's Cat Food plans to use tins that are the shape of cylinders. Find the height of the tin, if its bottom diameter is 12 cm and volume is 757.36cm.
Answer:
6.69 cm
Step-by-step explanation:
Given data
Diameter= 12cm
Radius= 6cm
Volume= 757.36cm^3
The expression for the volume of a cylinder is
V= πr^2h
Substitute
757.36= 3.142*6^2*h
757.36=113.112h
h= 757.36/113.112
h= 6.69 cm
Help me pleaseeeee!!!
Answer:
(6, 5) is the answer.
Step-by-step explanation:
The y's intersect at (6, 5)
A car accelerates from rest to 25 miles per hour in 3.0 seconds. What was the car's
acceleration?
Answer:
The car's acceleration was 3.73 metre per second square = 3.73m/s²
Step-by-step explanation:
The car accelerated from rest.
initial velocity (u) = 0m/s
final velocity (v) = 25miles/hr = 11.2m/s
time (t) = 3s
a = ?
v = u+at
a = (v-u)/t
a = (11.2 - 0) / 3
a = 11.2/3
a = 3.73
a = 3.73m/s²
a
-5x + 4y = 7
-5x - 3y = -14
Answer:
1. x = [tex]\frac{4}{5}y + \frac{-7}{5}[/tex]
2. x = [tex]\frac{-3}{5}y + \frac{14}{5}[/tex]
Step-by-step explanation:
Please help!!! I’ll mark you as brainliest!!!
Answer:
$57
Step-by-step explanation:
→ Do 20% of $80
( 20 × 80 ) ÷ 100 = 16
→ Add 5 to the previous answer
5 + 16 = 21
→ Add 2 to 21
2 + 21 = 23
→ Minus 23 from the total price
80 - 23 = $57
Please help!!! : )))
Sorry it's flipped lol
Answer:
20-24
Step-by-step explanation:
you can see that when you find the middle of the total data the data set left is in the 20-24 category
hope this helps! :)
In the following arithmetic sequence, which number is
missing from the series?
(2, 104, 206, 308, _____, 512, 614)
Answer:
410
Step-by-step explanation:
Every sequence 102 gets added
'
Identify the zeros/roots: and
Does it have a minimum or maximum?
Axis of symmetry:
Vertex:
y-intercept:
can someone please help!
find the minimum value of the function f(x)=0.2x^2-x+5.2
to the nearest hundredth.
Answer:
min f(x) = 3.95 (for x= 2.5)
Step-by-step explanation:
vertex (x) = 1/0,4 = 2,5
vertex (y) = 0.2(2.5)^2-2.5+5.2 = 3.95
2^(4- )8+16 *2
simplify
Answer:
-32
Step-by-step explanation:
Find the surface area of a square pyramid with side length 6 cm and slant height 6 cm.
Answer: 108 cm
Step-by-step explanation: Formula for square triangle is
SA=
You start at (9, 3). You move down 3 units. Where do you end?
Answer:
9,6 good luck with the answer
answer: (9,0). bc moving down is in the y axis. subtract 3 from (9,3) and it equals (9,0)
Don’t answer if you don’t know, it’s rude
Word search
Vertical, diagonal.horizontal,
backwards
I’ll appreciate if u find atleast 1
Answer:
down here :)
Step-by-step explanation:
Digits: Go to the last E in Greek alphabet, and go down three spaces. The word runs diagonally into the top right corner.
Fraction: Go one above the N in Repeating. runds up diagonally into the top left corner.
Challenge: Jasmine needs 300 centimeters of fabric to make her new dress. The fabric costs $5 for each meter. How much will her fabric cost to make the dress?
Answer: $15
Step-by-step explanation:
Jasmine needs 300 centimeters
$5 each meter
The first step you need to do is convert 300 centimeters to meters, because it’s $5 for each meter.
(You can use the King Henry Chart to help you)
So, 1 centimeter is 1/100 meter
How much is 300 centimeters in meters?
300x1/100
= 300/100
=3
300 cm= 3m
Now, there is $5 for each meter.
How much does it cost for 3 meters?
= 5x3
= $15
It will cost her $15
plss help i’ll give brainliest thank you!
Answer:
its 36 can you give me brainlyyy pleaasee
Answer:
36
Step-by-step explanation:
18 goes into 9 but not 12.
24 goes into 12 but not 9.
36 goes into 9 also into 12.
48 goes into 12 but not 9.
Hope this helps!
is anybody can help me with this one?
[tex]5(1 + n) = 2n ^{2} - 2[/tex]
Answer:
n = -1 , 3.5
Step-by-step explanation:
Move the terms to the left side and set equal to zero. Then set each factor equal to 0
Multiply (a-b) by (2b-a).
Answer:
-2b(a) - a^2 -2b^2
Step-by-step explanation:
Just use the 'foil' method, meaning that you multiply the first number of one part (a), to the first and second to the next part (2b, -a)
Then, multiply the second number of that part (-b), to the first and to the next part (2b, -a)
You would get: -2b(a) - a^2 -2b^2
Multiplication is the process of multiplying. The multiplication of (a-b) by (2b-a) results in 3ab-a²-2b².
What is multiplication?Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.
An expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context. The multiplication of the two given expressions (a-b) and (2b-a) can be done as shown below,
(a-b) × (2b-a)
= a(2b-a) -b(2b-a)
= (a × 2b) - (a × a) - (b × 2b) + (b × a)
= 2ab - a² - 2b² + ab
= -a² -2b² + 3ab
= 3ab -a² -2b²
Hence, the multiplication of (a-b) by (2b-a) results in 3ab-a²-2b².
Learn more about Multiplication here:
https://brainly.com/question/14059007
#SPJ2
9. Is the rate below a unit rate? Explain.
60 miles
3 gallons
Answer quick plzzz
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: 20 miles/1 gallon would be the unit rate so NO 60 miles/3 gallons is not the unit rate
Explanation:
60 / 3 = 20
I hope this helped!
<!> Brainliest is appreciated! <!>
- Zack Slocum
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer:
60/3=20
Step-by-step explanation:
hope this helps!
have a good day :)