Answer:
1. 9.8 cm
2. 44.5 cm^2
Step-by-step explanation:
1. To find the length of arc AB, we use the formula for the length of an arc
Mathematically, that will be;
theta/360 * 2 * pi * r
theta is the central angle which is 51
r is the radius which is 10 cm
So we have
51/360 * 2 * 22/7 * 10 = 8.9 cm
2. The area of the sector
we use the formula for the area of a sector here,
That is;
theta/360 * pi * r^2
51/360 * 22/7 * 10 * 10
= 44.5 cm^2
1. the smallest composite number is _________
Answer:
hey dear the smallest composite number is 4
the length of a rectangle exceeds its breadth by 4 cm. if the area of the rectangle is 96cm squared . find the length and breadth
Answer:
length=12; breadth=8
Step-by-step explanation:
l=w+4
w(w+4)=96
w²+4w-96=0
(w+12)(w-8)=0
width=8
length=w+4=12
Answer:
length=12; breadth=8
Step-by-step explanation:
Hope this helped have an amazing day!
A water taxi travels around an island in a path that can be modeled by the equation y =0.5(x - 16). A water skier is skiing along a path that begins at the point
(6,6) and ends at the point (8. - 4).
a. Write a system of equations to model the problem.
b. Is it possible that the water skier could collide with the taxi? Explain
I realize that the equation is different, but do it in the same way, it'll help! It is given that the water taxi's path can be modeled by the equation y =0.5(x - 14)^2. Therefore, this is one of the equations in this system. Find a linear equation that will model the path of the water skier, which begins at the point (6,6) and ends at the point (8,-4). The slope is (-5). Use the slope and one point on the line to find the y-intercept of the line. The y-intercept of the line that passes through the points (6,6) and (8,-4) is (0,36). Thus, the equation is y=-5x+36. Now, to determine if it is possible for the water skier to collide with the taxi, we have to determine if there is a solution to the system of equations. To determine if there is a solution to the system of equations, solve the system using substitution. First, write the equation that models the water taxi's path in standard form. y=0.5(x - 14)^2-->0.5x^2-14x+98. Use substitution. Substitute for y in the equation and then solve for x. As the expression on the left side of the equation cannot easily be factored, use the Quadratic Formula to solve for x. Do x=-b(plusorminus)sqrrtb^2-4ac/2a. Identify a, b, and c. a=0.5, b=-9, and c=62. Substitute into the Quadratic Formula. If there is a negative number under the radical, there are NO solutions. Thus, the path of the water skier will never cross the path of the taxi.
In conclusion: It is not possible that the water skier could collide with the taxi as the two paths never cross.
How do you do this for expanding and factoring expressions 8(4x-12)
Answer:
32x - 96
Step-by-step explanation:
Apply the distributed property:
8 × 4x = 32x8 × 12 = 96Re-write the expression: 32x - 96I hope this helps!
Helppppppppppppppppppppppppppppppppppppppp Pleaseeeeeeeeeeeeeeeee
Answer:
2. -1/3x > 12
3. 5+x > 7
4.10-x < 30
5. 2+5x ≤ 3
6.6-2x ≥ 17
8.$400+$49g=$750
at most the enthusiast can buy 7 games along with the player
Step-by-step explanation:
What is the distance between point A and point B? Round to nearest tenth.
Answer:
[tex]d \approx 12.6[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra II
Distance Formula: [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Step-by-step explanation:
Step 1: Define
Find points from graph.
Point A (-4, 2)
Point B (8, 6)
Step 2: Find distance d
Simply plug in the 2 coordinates into the distance formula to find distance d.
Substitute [DF]: [tex]d = \sqrt{(8+4)^2+(6-2)^2}[/tex]Add/Subtract: [tex]d = \sqrt{(12)^2+(4)^2}[/tex]Exponents: [tex]d = \sqrt{144+16}[/tex]Add: [tex]d = \sqrt{160}[/tex]Simplify: [tex]d = 4\sqrt{10}[/tex]Evaluate: [tex]d = 12.6491[/tex]Round: [tex]d \approx 12.6[/tex]A Sweater That normally costs $25.00 is on sale for 10 percent Off.
What will the Discount be?
what will the cost of the Sweater be?
Can Someone Please PLEASE help me??
Answer:
15.00
Step-by-step explanati
the discount is 15% because you need to subtract it
Determine the intercepts of the line
Answer:
x - intercept: -1.2
y - intercept: -0.7
Help i'll give you brainliest
Answer:Step-by-step explanation:
the first one and third one
Jonathan is building a fence for his chickens. The length of a rectangle is
equal to triple the width. The perimeter(P=2L+2W) is 72 centimeters. What
is the width of the fence?
Answer:
Width = 9
Step-by-step explanation:
(P=2L+2W) = 72
L = 3W<- length is triple the width
(P = 2(3W) + 2W) = 72
P = 8W =72
W = 9
This is a test my sister made to see how smart I am plz help.
Answer:
16.) second choice: (5,-6)
17.) third choice: (-10) (-8) (-5) (0) (1)
18.) fourth choice: (.18) (0.4) (1/4) (227)
Given:x-8>-3
Chose the solution set.
1.{x|x€R,x>-5}
2.{x|x€R,x>14}
3.{x|x€R,x>5}
4.{x|x€R,x>-9}
Step-by-step explanation:
x - 8 > -3
x > -3 + 8 (add 8 to both sides)
x > 5
Hence 3.{x|x€R,x>5} is correct.
What is 23/24 as a decimal rounded to the nearest hundredth?
Answer:
95.80
Step-by-step explanation:
The number 23/24 rounded to the nearest hundredth is 0.96
What is rounding up numbers?
There are basically two rules while rounding up numbers
If the number you are rounding is followed by 0, 1, 2, 3, or 4, round the number down and if the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up.
Given data ,
Let the number be A = 23/24
So , in order to round the number
First we need to find the decimal for of the number A
And ,
A = 23/24
A = 0.9583
And , rounding the number to its nearest hundredth is rounding the number to two decimal places
So ,
A = 0.9583
A = 0.96
Hence , The number 23/24 rounded to the nearest hundredth is 0.96
To learn more about rounding of numbers click :
https://brainly.com/question/4896544
#SPJ5
help me quys plz, which one is it
Factor with the distributive property (no variables)
90+27=
Your answer is 9(10 + 3)
Tell me if you need an explanation
In only three days the temperature dropped by 24 degrees.How many degrees per day did the temperature drop?
Answer: 8° per day.
Step-by-step explanation:
Based on the information above, since we are informed that in three days, the temperature dropped by 24 degrees, the number of degrees per day that the temperature dropped will be go by dividing 24° by 3 days. This will be:
= 24° / 3 days
= 8° per day
If bc+ad=b solve for a
Answer:
Step-by-step explanation:
bc + ad = b
bc + ad/bc = b/bc
ad = b/bc
ad/d = b/bc + d
a = b/bc+d
67°
15
h
b
What is the area
Answer:
1005
Step-by-step explanation:
Assuming this is a rectangle, square, or other 4 sided figure, the ft^2 would be 1005
write the formula of mode for grouped data,and explain each term in it.
Answer:
Mode =Li+[f1-f0/2f1-f0-f2] *h
Li=lower limit.
F1= first frequency
F0= upper frequency of first frequency.
F2= second frequency.
H= difference between class intervals.
Hope it is helpful
which one is it , help me on this please please please please please please please
Answer:
D
Step-by-step explanation:
7^-2 = 1/7^2
The negative means you flip it
1/7^2 times 7^6 is 7^6/7^2 (just multiply).
using rules of exponents, 7^6/7^2 is 7^4 (just subtract 2 from 6)
D is the only one that equals 7^4, as 2 times 2 is 4.
The numbers 22 and 35 are relatively prime. TrueFalse
Answer: True
Step-by-step explanation:
Answer:
False They are coprime numbersStep-by-step explanation:
I hope it helps ❤❤I don’t understand so please HELPPPPPPPPPPPPPP
Answer:
C
Step-by-step explanation:
Okay so im going to gudie you thru So what it is asking you is to Count all the cubic squares looking things so what i can see is that You circled 169 aka C that would be correct because it cant be 11 cause it dosent look like 11 square units lol you get what im saying so the answer is C hope this HELPSS!!
By the way follow my insta. exotic. jaliyah if you need anymore help
yaaaa heree ya goo... good luck :D
Answer:
Honestly i dont even know
Step-by-step explanation:
Can someone help me ASAP !
Hope this helps! Have a nice day!
PLEASE HELP ASAP
The graph of which function has an axis of symmetry at x = one-quarter?
A: f(x) = 2x2 + x – 1
B: f(x) = 2x2 – x + 1
C: f(x) = x2 + 2x – 1
D: f(x) = x2 – 2x + 1
Answer:
its A) f(x)= 2[tex]x^{2}[/tex]+x-1
Step-by-step explanation:
Answer: A sounds correct
Step-by-step explanation:
Parkside High School was having a talent show to raise money. It was x dollars for adults and $8 for students. Stephanie's family had 4 adults and 1 student. Her family paid $48 to see the show. Write an equation for the word problem. Use the variable x and leave no spaces.
Answer:
[tex]x = 10[/tex]
Step-by-step explanation:
Given
$x per adult
$8 per student
Population:
[tex]Students = 1[/tex]
[tex]Adults = 4[/tex]
[tex]Total = \$48[/tex]
Required
Determine the equation and solve for x
The system can be analyzed as thus:
The cost for 4 adults is: 4 * x
The cost for 1 students is: 8 * 1
Total Amount is: 48
From the analysis above, the equation is:
[tex]4 * x + 8 * 1 = 48[/tex]
[tex]4 x + 8 = 48[/tex]
Subtract 8 from both sides
[tex]4 x + 8 -8= 48 - 8[/tex]
[tex]4 x= 40[/tex]
Solve for x
[tex]x = 40/4[/tex]
[tex]x = 10[/tex]
An airplane pilot over the Pacific sights an atoll at an angle of depression of 5 . At this time, the horizontal distance from the airplane to the atoll is 4629 meters. What is the height of the plane to the nearest meter?
Answer:
404.98 m
Step-by-step explanation:
The angle of depression is 5°
The horizontal distance from the airplane to the atoll is 4629 meters.
We need to find the height of the plane.
If we consider a triangle. 4629 meters will be the base and angle is 5°. Let h is the height of the plane. Using trigonometry to find it :
[tex]\tan\theta=\dfrac{x}{4629 }\\\\\tan(5)=\dfrac{x}{4629 }\\\\x=\tan(5)\times 4629 \\\\x=404.98\ m[/tex]
So, the height of the plane is 404.98 m.
Rose how r u doing with Sofie???
Helppppppppppp with 3 & 4!!!!!!!!!!!!!!!!!!!!!!!
Answer:
3 is b
4 is also b
Step-by-step explanation:
PLEASE ANSWER 19 PLEASE
Answer:
Step-by-step explanation:
Neither