Answer:
1. Arc angle
2. Angle at circumference
3. Base angle of an isosceles triangle
4. Sum interior of angles in a triangle
5. Sum interior of angles in a triangle
6. The sum of angles on a straight line
7. Sum interior of angles in a triangle
8. Sum interior of angles in a triangle
9. Angle from a tangent to the radius of a circle
10. Alternate angles of line crossing two parallel lines
Step-by-step explanation:
Here, we note that, the angles where derived as follows;
1. mBC = 90°, therefore, angle subtended by the arc BC at the center of the circle = 1 = 90°
2. 90° The angle at the center which is the straight line diameter with angle 180° = 2 × angle at the circumference
∴ The angle at the circumference, angle 2 = 180°/2 = 90°
3. Angle subtended by the sum of arcs CD + DE at the center = 50°, therefore, ∡EOC = 50° and ∡EOA = 180° - 50° = 130° (the sum of angles on a straight line), since ΔAOE is an isosceles triangle, therefore, ∡OAE = ∡OEA = (180° - 130°)/2 = 25°
4. ∡A + ∡E + ∡C = 180° (Sum interior of angles in a triangle)
∴ 25° + 90° + ∡C = 180°
Hence ∡C = 180° - (90° + 25°) = 65°
5. From arc CD = 30°, ∡COD = 30°, ∴ ∡OBD = 30° = base angle of isosceles triangle with sides equal to the radius
Hence ∡8 = 30° from ∡8 + ∡1 + ∡OBD = 180° which gives
∡8 + 90° + 30° = 180°, hence;
∡8 = 180° - (90° + 30°) = 60°
∡8 = opposite ∡8 = 60°
Opposite ∡8 + ∡C + ∡5 = 180° (Sum interior of angles in a triangle)
Therefore ∡5 = 180° - (opposite ∡8 + ∡C) = 180° - (60° + 65°) = 55°
6. Angles 6 plus angle 5 = 180° (The sum of angles on a straight line)
Therefore, ∡6 = 180° - ∡5 = 180° - 55° = 125°
7. ∡7 + opposite ∡5 + ∡E = 180° (Sum interior of angles in a triangle)
∡E + ∡2 = 180° (The sum of angles on a straight line)
∴ ∡E = 180° - ∡2 = 180° - 90° = 90°
Hence, ∡7 + opposite ∡5 + ∡E = 180° = ∡7 + 55° + 90° = 180°
∴ ∡7 = 35°
8. ∡8 = 60° as found above
9. ∡9 = 90° (Angle from a tangent to the radius of a circle)
10. ∡10 = ∡8 = 60° (Alternate angles).
there are 12 inches in 1 foot
write an equation to find the number of inches in any number of feet
Answer:
divide the number of inches by 12
Step-by-step explanation:
What is the value of x?
A.2
B.3
C.6
D.7
Answer:
A
Step-by-step explanation:
Given 2 secants from a point outside the circle.
Then the product of the external part and the entire secant of one secant is equal to the product of the external part and the entire secant of the other secant, that is
(x + 1)(x + 1 + 11) = (x + 4)(x + 4 + 1)
(x + 1)(x + 12) = (x + 4)(x + 5) ← expand both sides
x² + 13x + 12 = x² + 9x + 20 ← subtract x² + 9x from both sides
4x + 12 = 20 ( subtract 12 from both sides )
4x = 8 ( divide both sides by 4 )
x = 2 → A
help quick!!!!?????
Omg I’m so sorry to interrupt but I really need help on my homework :( it’s two questions for 20 points||| can someone please help
Answer:
none
Step-by-step explanation:
57+75+95= 227
24+70+75= 169
48+64+80= 192
19+27+80=73
A right triangle equals 180 degrees.
|n|=5 what is the value for n.
A -5or5
B 0 and 5
C -5 only
D 5 only
Answer:
A -5or5
Step-by-step explanation:
|n|=5
Absolute value means take the positive value of the number
|5|=5
|-5|=5
so positive 5 and -5
If you save $3,000 at an interest rate of 14 percent per year, how much will you have at the end of six years? The interest should be compounded. A. $5,805.96 B. $6,502.34 C. $6,584.91
Answer:
C.) $6,584.91
Step-by-step explanation:
Amount earned in compound interest = P(1 + r)^n;
where P is the principal,
r is the rate and n is the number of periods.
Amount = 3,000(1 + 14%)^6 = 3,000(1 + 0.14)^6 = 3,000(1.14)^6 = $6,584.91
Answer:
C) 6584.91
Step-by-step explanation:
plato
Find the volume of the following solid figure. Use = 3.14.
V = 4/31tr3. A sphere has a radius of 4.5 inches.
Volume (to the nearest tenth) =
cubic inches.
381.5
56.5
84.8
What is the solution to this system of equations?
Negative 3 x + 5 y = negative 2. 3 x + 7 y = 26.
(4, 2)
(2, 3 and one-third)
no solution
infinitely many solutions
Answer:
4,2
Step-by-step explanation:
did the test
The solution of the system of equation is (4, 2) which is correct option(A).
What is equation?Equation is the defined as mathematical statements that have a minimum of two terms containing variables or numbers is equal.
Given the two systems of equations,
-3x + 5y = -2
3x + 7y = 26
Adding the both equations
-3x + 5y + 3x + 7y = -2+26
12y = 24
y = 2
Substitute the value of y in any one of the equations,
3x + 7 y = 26
3x + 7(2) = 26
3x = 26-14
3x = 12
x = 4
Hence, the solution of the system of equation is (4, 2).
Learn more about equation here:
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Which is the longest length?
a 1 yd. 20 in.
b 1yd. 1 ft.
С
40 in.
d 3 ft.
Answer:
a-1yd20in
Step-by-step explanation:
a-4ft 8in
b-4ft
c-3ft 4in
d-3ft
Answer:
it's A, one yard and 20 inches
Step-by-step explanation:
If you convert them all to inches, a yard and a 20 inches are equal to 56 inches, so you can rule out the 40 inches answer. a yard and a foot are equal to 48 inches, so we can rule out that also. 3 feet is equal to 36 inches, because we know that a foot is equal to 12 inches. so you are left with A. 1 yard and 20 inches.
(x*y)*z=144
x = y*3
z = y*2
please help
Answer:
whats the question that u need help with
Which values are solutions to the inequality below
Check all that apply
What I want you to do is think of yourself as a tourist who just landed in Nebraska. You've decided to take a road trip across the northwestern US (as presented in the states shown on the map) and you want to cross each state border exactly once. So for example, you want to make sure that you cross the border between SD-ND, SD-NE, SD-WY, SD-MT. You don't just want to visit South Dakota, but you want to cross all of the borders as well... but only once! You can visit each state as many times as you wish, but you can only cross each border once. Can you think of a way to cross ALL of the state borders in the map exactly once, while ending back where you started in Nebraska?
Answer: up, left, down, right
Step-by-step explanation:
because
A Bowling ball is rolled down the alley with the constant velocity of 1.6 m/sec at an angle of 85° to the starting line, the position of the person throwing a bowling ball can be represented by the point (0,0). where is the ball after six seconds?
We have been given that a Bowling ball is rolled down the alley with the constant velocity of 1.6 m/sec at an angle of 85° to the starting line, the position of the person throwing a bowling ball can be represented by the point (0,0).
We are asked to find the position of ball after 6 seconds.
We will use horizontal position and vertical position formula to solve our given problem.
Horizontal position is given by formula: [tex]x=v\cdot \text{cos}(\theta)\cdot t[/tex] and vertical position is given by formula: [tex]y=v\cdot \text{sin}(\theta)\cdot t[/tex],where,
v = Velocity,
t = Time,
[tex]\theta[/tex] = Angle to the starting line.
For our given problem [tex]v=1.6[/tex], [tex]t=6[/tex] and [tex]\theta=85^{\circ}[/tex].
[tex]x=1.8\cdot \text{cos}(85^{\circ})\cdot 6[/tex]
[tex]x=10.8 \cdot 0.087155742748[/tex]
[tex]x=0.9412820216784\approx 0.94[/tex]
[tex]y=1.8\cdot \text{sin}(85^{\circ})\cdot 6[/tex]
[tex]y=10.8\cdot 0.996194698092[/tex]
[tex]y=10.7589027\approx 10.76[/tex]
Therefore, the position of ball after 6 seconds would be [tex](0.94,10.76)[/tex].
Answer:
(0.8,9.6)
Step-by-step explanation:
x=1.6*cos85* 6=0.8
y=1.6*sin85 *6=9.6
A sports stadium holds 14,600 people. There are eight home games in
a season. Find the total number of people who could attend home
games in one season.
Answer:
116800
Step-by-step explanation:
14600x8
166800
Answer:
b
Step-by-step explanation:
hope this helps you
Factor the expression below.
x2 - 6x + 9
A.
(x + 3)(x + 3)
B.
3(x2 - 2x + 3)
OC. (x-3)(x-3)
OD.
(x - 3)(x + 3)
HELP
This is a perfect square trinomial in the form a^2 - 2ab + b^2 = (a-b)^2. In this case, a = x and b = -3.
Another way you can look at it is to ask yourself "what two numbers multiply to 9 (last term) and add to -6 (middle coefficient)?". Those two numbers are -3 and -3
-3 plus -3 = -6
-3 times -3 = 9
So this is why x^2-6x+9 = (x-3)(x-3)
We can expand (x-3)(x-3) back out to get x^2-6x+9 again using the FOIL rule, distributive property, or the box method.
Answer:
C. (x-3)(x-3)
Step-by-step explanation:
x² - 6x + 9 = 0
x² - 3x - 3x + 9 = 0
x(x - 3) - 3(x - 3) = 0
(x - 3) (x - 3) = 0
Please help with question off algebra nation
Answer:I’m on that same question and I need help to
Step-by-step explanation:
Answer:
Table C is a linear function. Table A is an exponential function. And lastly table B is a quadratic function.
Step-by-step explanation:
I know that table C is linear because it has a constant rate of change the whole entire time.
I know table A is exponential because of the way it drastically increases at the end.
And lastly I know that table B is quadratic because if I were to graph it and keep on placing points, it would make a parabola.
I hope I helped.
What is the volume of the cone to the nearest cubic millimeter? (Use π = 3.14)
A) 52 mm3
B) 157 mm3
C) 209 mm3
D) 628 mm3
Answer:
209
Step-by-step explanation:
The volume of the cone, to the nearest cubic millimeters is: C. 209 mm³.
What is a Cone's Volume?Volume of a cone = 1/3πr²h
Where, r = radius of the cone, and h = height of the cone.
Given:
π = 3.14Radius (r) = 5 mmHeight (h) = 8 mmThus:
Volume of a cone = 1/3(3.14)(5²)(8)
Volume of a cone = 209 mm³
Thus, the volume of the cone, to the nearest cubic millimeters is: C. 209 mm³.
Learn more about volume of cone on:
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-3x+1/2=3/8
Whats x? pls someone help step by step
Answer:
x = -1/24 = -0.042
Step-by-step explanation:
Step 1 : Simplify 3/8
Step 2 :
Rewriting the whole as an Equivalent Fraction
Step 3 :
Calculating the Least Common Multiple
Equation at the end of step 3 :
24x + 1
——————— = 0
8
Last step:
Solving a Single Variable Equation :
5.2 Solve : 24x+1 = 0
Subtract 1 from both sides of the equation :
24x = -1
Divide both sides of the equation by 24:
x = -1/24 = -0.042
Hope this helps.
The lowest point of elevation in the United States is at Death Valley National Park in California at 282 feet below sea level. The Dead Sea in Israel is 1,360 feet below sea level. Write a division expression that could be used to find how many times greater the Dead Sea lies below sea level than Death Valley. Then determine how many times greater. Round to the nearest whole number.
Answer:437
Step-by-step explanation:I took the test
HURRY PLEASE!! WILL MARK THE BRAINLIEST
Which of the following are factors of the
polynomial?
Answer:
All of the above
Step-by-step explanation:
In mathematics, a polynomial is an expression consisting of variables and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents of variables. Since, they all have a degree of 1 they are all polynomials.
I NEED HELPPPPP!!!! PLZZZ
Answer:
13.5
Step-by-step explanation:
Students in grade 7 and 8 were asked which food they liked best the results are shown in the table below?
Answer:
55% if the students like hotdods
Answer:
55%
Step-by-step explanation:
2. The length of the side of a square is
represented by the expression 2a²b. Which
term represents the area of this square?
A. 8a3b
B. 4a3b
C. 4a4b2
D. 2a6b2
Simplify the following expression
x^5/x^-2=x^n
A. 8
B. 2
C. 7
D. 10
Answer:
7
Step-by-step explanation:
x^5/x^-2=x^n
x^5=x^n×x^-2
x^5=x^-2+n
5=-2=n
n=7
this is 100% correct
plzz mark me brainliest
5(x-10)=30-15x
Ox=1
Ox=4
Ox=5
Ox=8
Answer:
x = 4
Step-by-step explanation:
5x-50=30-15x
5x +15x =30+50
20x= 80
Divide both sides of the equation by 20
x = 4
I hope it helps
answer with work pls !!
The senior class at Snellville rented and filled 12 vans and 14 buses with 796 students. General High rented and filled 14 vans and 12 buses with 738 students. How many students would fill 2 buses and 3 vans?
Answer:
133 students would fill 2 buses and 3 vans
Step-by-step explanation:
Let x be the no. of students in each van
No. of students in 12 vans = 12x
No. of students in 14 vans = 14x
Let y be the no. of students in each bus
No. of students in 14 buses = 14y
No. of students in 12 buses = 12y
We are given that The senior class at Snellville rented and filled 12 vans and 14 buses with 796 students.
12x+14y=796 ---1
We are also given that General High rented and filled 14 vans and 12 buses with 738 students.
14x+12y=738 ---2
Plot 1 and 2 on graph
12x+14y=796 --- Green line
14x+12y=738 --- Purple line
Intersection point gives the solution
Intersection point=(x,y)=(15,44)
No. of students in 1 van = 15
No. of students in 3 vans = [tex]15 \times 3 = 45[/tex]
No. of students in 1 bus = 44
No. of students in 2 buses =[tex]44 \times 2 = 88[/tex]
So,Total no. of students in 3 vans and 2 buses = 45+88=133
Hence 133 students would fill 2 buses and 3 vans
Apollo does 240 push-ups in 5 minutes. How many push-ups can Apollo do in 1 minute
Answer:
48
Step-by-step explanation:
240/5 = 48
Answer:
48 push ups in 1 minute
Step-by-step explanation:
We can use a ratio to solve
240 pushups
-----------------------
5 minutes
Divide each by 5
48 pushups
--------------------
1 minutes
AC =
Round your answer to the nearest hundredth.
40°
The table shows the cost in dollars, y, for renting a pair of snow skis or renting a snowboard for x days. Which function shows the combined cost in dollars, y, for renting two pairs of snow skis and two snowboards for x days? y = 45x + 60 y = 90x + 120 y = 25x + 25 y = 20x + 35
Answer: this is the right answer y = 90x + 120
Step-by-step explanation:
Need help with this
Answer:
5 to the power of -2
Step by Step explanation:
Because you are diving, you need to subtract the powers.
For example, you subtract 10 from 12 to get -2
The 5 remains the same so the answer should be 5 to the power of -2
Hope this helps
