Answer:
12 cmStep-by-step explanation:
Let O be the centre of the circle of radii 10 cm and 8 cm.
In given figure,
AP = PB and OP⊥AB
Applying Pythagoras theorem in ∆OPA, we get
↠ OA² = OP² + AP²
↠ (10)² = (8)² + AP²
↠ 100 = 64 + AP²
↠ 100 - 64 = AP²
↠ 36 = AP²
↠ √36 = AP
↠ 6 = AP
Now,
↠ AB = 2AP
↠ AB = 2(6)
↠ AB = 12 cm
Hence,
The length of the chord of the larger circle 12 cmFactorise 9x2+49y2-42xy-30xz+70yz
the equation can not be factored ^
What is the value of the expression? Show your work.
[tex]\dfrac{7^{12} \cdot 7^9}{\left(7^6 \right)^3}\\\\\\=\dfrac{7^{12+9}}{7^{18}}\\\\\\=\dfrac{7^{21}}{7^{18}}\\\\\\=7^{21-18}\\\\\\=7^3\\\\\\=343[/tex]
Answer:
342.9385905398
I’m too lazy to put in any more so ya
Step-by-step explanation:
We solve the top first.
7^12 x 7^9
13,841,287,201 x 40,353,607
558,545,864,083,284,007
The bottom is (7^6)^3
(7^6)^3
(7^18)
1,628,413,597,910,449
558,445,864,083,284,007 divided by 1,628,413,597,910,449
342.9385905398
I’m too lazy to put in any more so ya
Find the probability of rolling a 6 -sided dice and getting a number that is a divisor of 20.
Explanation:
On the die, the divisors or factors of 20 are: 1, 2, 4, 5
We have 4 faces we want out of 6 faces total
So 4/6 = 2/3 is the probability of getting a divisor of 20.
Given the objective Function: Revenue = 75x+85y and the critical points: (0,0) (180,120) (300,0)
Answer
(180,120)
Cannot be determined
Step-by-step explanation:
Fax
The critical point with the maximum revenue is at (180,120)
How to determine the critical point with the maximum revenue?The objective function is given as:
Revenue = 75x+85y
The critical points are (0,0) (180,120) (300,0)
Substitute these points in the objective function.
Revenue = 75(0)+ 85(0) = 0
Revenue = 75(180)+ 85(120) = 23700
Revenue = 75(300)+ 85(0) = 22500
The maximum revenue is 23700.
Hence, the maximum revenue is at point (180,120)
Read more about objective function at:
https://brainly.com/question/16826001
DIRECTIONS: Type your answer in the space provided. The slope must be in fraction form.
What is the equation of the line parallel to the given line through the point (14,0)?
-4x - 7y = 14
hard question help!!!!
Answer:
B
Step-by-step explanation:
An equilateral triangle is shown inside a square inside a regular pentagon inside a regular hexagon. Write an expression for the area of the shaded regions.
Answer:
the shaded area= area of the regular hexagon-the area of the regular pentagon+ the area of the square-the area of the equilateral triangle
Step-by-step explanation:
for the equation to be true we must first identify the shapes used.
the shapes used include
regular hexagonregular pentagonsquareequilateral trianglenow that we know the shapes we must find out which shapes are shaded
regular hexagon (shaded)regular pentagon (not shaded)square (shaded)equilateral triangle (not shaded)now we know which shapes are shaded we can now form the equation to find the area
i will turn the shapes into varibles so its easier on my brain and yours
area of the regular hexagon= harea of the regular pentagon= parea of the square= sarea of the equilateral triangle= tshaded area= Awe can know use the info gathered earlier to create the equation
shaded area = (area of the regular hexagon - area of the regular pentagon (the hexagon is shaded while the pentagon is not therefore you would subtract the area of the hexagon by the area of the pentagon))+(area of the square- area of the triangle( same reason as the hexagon and pentagon the triangle is not shaded therefore creating a gap in the square)
or in other words with the variables
A=( h-p )+( s-t )
if your still not convinced see the attached image
||
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The measures of two supplementary angles have a ratio of 4:5. What is the measure of the larger angle?
The measure of the larger angle is ____
Answer:
100 DEGREES
Step-by-step explanation:
Supplementary means they add to 180 degrees
4x + 5x = 180
x = 20
smaller angle 4 (20) = 80
learger angle 5 (200 = 100
The diameter of a semicircle is 30 miles. What is the semicircles radius ?
Answer:
D by 2 means 30 divides 2 frst of all youuhave to find radius after that semi circle
Select the expression that is equal to 12(6+x)
31x
84x
18+12x
72+12x
18+13x
I don't know
Answer:
72 + 12x
Step-by-step explanation:
Use Distributive proeprty: a*(b +c)= (a*b) + (a*c)
Here, a = 12 ; b = 6 & c = x
12( 6 + x) = 12*6 + 12*x
= 72 + 12x
A squared garden has am area of 81 squared meters what is the permiter of this garden
Answer:
9 meters
Step-by-step explanation:
just find the square root of 81 and it gives you the number 9
HELP!!! ASAP!!!
construct a sequence of ten numbers with the same property using each of the numbers from 1 to 5 twice
1+1+2+2+3+3+4+4+5+5 is your answer. If it's wrong I'm sorry
max measured the wading pool at the Arcadia Community Center and calculated that it has a circumference of 23.864 feet. what is the pools diameter
Marco travels from his house to the beach. The total distance he travels
is 120 miles. In the first hour, Marco traveled 54 miles. What percent of
the distance did he travel the first hour?
Answer:
45%
Step-by-step explanation:
Since he drove 54 miles out of 120 in the first hour, the equation for this would be 54/120×100. This equals 45 and that is the percentage
6. Hadila is 2 years younger than Kai Yee. Kai Yee's father's age is the square of Hadila's age. If Kai Yee is p years old, calculate the total age of the three of them. Express your answer in the form of algebraic expression.
ANSWER: p^2 - 2p + 2
Step-by-step explanation:
Total age of three = p + p-2 + (p-2)^2
= 2p-2 + p^2-4p+4
= p^2 - 2p + 2
math sceenshot answer the sceenshot
Answer:
H(d) = 0.3d + 12
Step-by-step explanation:
It started at 12 inches.
Then it grew 0.3 inches per day.
Let d = number of days.
The growth is 0.3 d.
Add the growth to the original length, to get 0.3d + 12.
Answer: H(d) = 0.3d + 12
Help me please this is due tomorrow and I do not understand the assignment
Answer:
4 and 5 not functions 6 function
Step-by-step explanation:
In a function, each x value can only have one y value. To test this, you can try the vertical line test. Put a vertical line on the function; if it touches only one point the graph is a function. For graph 4, the x value of 3 has y values of 1 and 4 so it is not a function. For graph 5, the x values of 1 and 5 have many y values so the graph isn't a function. For graph 6, each x value has only one y value so it is a function.
Answer:
4. Not a function
5. Not a function
6. Function
Step-by-step explanation:
1 -3 (correct!)
Functions do NOT have repeating x-values. Hence why you were able to determine if # 1-3 are fuctions or not.
4. Not a fuction:
(1, 2)
(2, 3)
(3, 1)
(3, 4)
As we can see, both points have the same x-values. Therefore, not a function.
5. Using our knowledge about functions, we can quickly tell that this graph is NOT a fuction.
There are many points that fall under the same x-value.
6. Function:
(1, 2)
(2, 2)
(3, 3)
(4, 4)
No repeating x-values. Therefore, a function.
Hope this helps!
find the area of a circke with a radius of 9 mm. round to the nearest tenth. use 3.15 or 22/7 for Pi.
Answer:
254.3 mm^2
Step-by-step explanation:
Area of a circle: A = π*r^2
π (pi) = 3.14
r (radius) = 9 mm
Substitute 3.14 for pi and 9 for radius:
A = π*r^2
A = 3.14*9^2
A = 3.14*81
A = 254.34 mm^2
Round to the nearest tenth:
254.34 ==> 254.3
Therefore, our final answer is 254.3 mm^2
Hope this helps!
The first six steps of the derivation of the Quadratic Formula are listed below.
b
x
lo
=
a
a
+
1. ax2 + bx +c=0
2. Cx2 + x + =
3. x2 + x+8 = 0
b
4. x2 +
X=
a
b2
5. x2 + x +
4a2
6. (x + )2
4a2
a
+
a
b2
4a2
b2-4ac
2a
The ninth step in the derivation is to find the lowest common multiple (LCM) to give [tex]x = \frac{-b\; \pm \;\sqrt{b^2 - 4ac}}{2a}[/tex]
The derivation of quadratic formula.In Mathematics, the standard form of a quadratic equation is given by;
ax² + bx + c = 0
Mathematically, the quadratic formula is given by this equation:
[tex]x = \frac{-b\; \pm \;\sqrt{b^2 - 4ac}}{2a}[/tex]
The sixth step in the derivation is:
[tex](x + \frac{b}{2a} )^2 = \frac{b^2 - 4ac}{2a}[/tex]
The seventh step in the derivation is:
We would take the square of both sides to have;
[tex]x + \frac{b}{2a} = \frac{\sqrt{b^2 - 4ac}}{2a}[/tex]
The eigth step in the derivation is:
We would substract b/2a from both sides to have;
[tex]x = -\frac{b}{2a} \pm \frac{\sqrt{b^2 - 4ac}}{2a}[/tex]
The ninth step in the derivation is:
We would find the lowest common multiple (LCM) to have;
[tex]x = \frac{-b\; \pm \;\sqrt{b^2 - 4ac}}{2a}[/tex]
Read more on quadratic equation here: brainly.com/question/1214333
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The entire rectangle below has an area of 36 ft2. Find the area of the shaded triangle. Be sure to include the correct unit in your answer.
help me with this question, please
I think that's it, Hope this helps!!!!!!
Answer:
x = -2
Step-by-step explanation:
4x + 5y = 7
4x + 5 (3x + 9) = 7
4x + 15x + 45 = 7
19x + 45 = 7
19x = -38
x = -2
Find the surface area of the prism.
9 m
5 m. 12m
Answer:
the surface area of the prism is equal to 202 m^2
Step-by-step explanation:
The surface area of the prism is equal to
SA=2B+Ph
where
B is the area of the base
P is the perimeter of the base
h is the height of the prism
Find the area of the base B
B=LW=4*5=20m^2
Find the perimeter of the base P
P = 2(L+W) = 2 (4+5) = 18 m
Find the surface area ---->
SA = 2B + Ph = 2(20) + 18(9) = 202 m^2
btw m^2 is stand for square meter, also called the meter squared! (just if ur wondering)
Classify each of the following angles as acute, obtuse, right,straight, or reflex.
Answer:
1. Acute, because it is less than 90 degrees or less than a right angle.
2. that is obtuse because it is bigger than 90 degrees
3. acute, because it is less than 90 degrees.
Answer:
1. Acute 2. Obtuse 3. Acute
Step-by-step explanation:
1 and 3's angles are smaller than 90 degrees. 2 is obtuse because its angle is larger than 90 degrees.
What is the value of the exponential expression 24?
O A. 8
B. 32
O C. 64
O D. 16
Answer:
16
Step-by-step explanation:
2^4 is the same thing as 2*2*2*2*2. 2 times 2 is 4, times 2 is 8, times 2 again is 16.
What is the vertex and axis of symmetry?
Check the picture below.
now, the Range and Domain are both assuming the lines goes no further, keeping in mind that most lines go to infinity.
the x-intercepts are just where the graph intersects or touches the x-axis.
the y-intercepts are just where the graph intersects or touches the y-axis.
vertex is simply where it makes the U-turn, and axis of symmetry is simply most of the time the x-coordinate of the vertex, of namely the line where the graph begins making a mirror image.
A rectangle with length of 4/9 foot and a width of 2 feet
Answer:
area of rect = 8/9
Step-by-step explanation:
Area of rect.= (L*W)
Area = (4/9) (2)
Area = (4/9) (2/1)
Area = 8/9
Answer:
8/9 feet
Step-by-step explanation:
Area=l*w
4/9ft*2ft
4/9*2/1=8/9ft
Find f(2) if f(x) = (-2x)^2 / (7x-4)
Answer:
4/3
Step-by-step explanation:
f(2) = (-2*2)^2 / (7(2))-4)
f(2) = (-4)^2 / 14-4
f(2) = 16 / 12
f(2) = 4 / 3
what value of x is in the solution set of 8x-6>12+2x
Answer:
3
Step-by-step explanation:
8x-6>12+2x
-2x -2x
_______________
6x-6 >12
+6 +6
____________
6x > 18
/6 /6
____________
x > 3
Hope this helps :)
The solution to the inequality 8x - 6 > 12 + 2x is, 3.
What are inequalities and their types?Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.
The symbol a < b indicates that a is smaller than b.
When a > b is used, it indicates that a is bigger than b.
a is less than or equal to b when a notation like a ≤ b.
a is bigger or equal value of an is indicated by the notation a ≥ b.
Given, An inequality 8x - 6 > 12 + 2x.
Separating the variable and constants to the other sides we have,
8x - 2x > 12 + 6.
6x > 18.
x > 3.
learn more about inequalities here :
https://brainly.com/question/30231190
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(x-5)^2+2=11 solve by using square roots.
Work Shown:
[tex](x-5)^2+2=11\\\\(x-5)^2=11-2\\\\(x-5)^2=9\\\\x-5=\pm\sqrt{9}\\\\x-5=\pm3\\\\x=5\pm3\\\\x=5+3 \text{ or } x = 5-3\\\\x=8 \text{ or } x = 2\\\\[/tex]
Find the midpoint between point A and point B:
A: (-3, 10)
B: (7, -4)
options:
(-5, 3)
(2, 3)
(2, 7)
(-5, 7)
Answer:
2,3
Step-by-step explanation:
Answer: (2,3)
Step-by-step explanation:
add the two x’s and divide them then do the same with your y’s.