Given:
A figure of a circle.
To find:
The value of x.
Solution:
First label the given figure as shown below.
In triangle ABO,
[tex]OA=OB[/tex] (Radii of same circle)
[tex]\Delta ABO[/tex] is an isosceles triangle. (By the definition of isosceles triangle)
[tex]\angle OAB\cong \angle OBA[/tex] (Base angles of an isosceles triangle)
[tex]m\angle OAB=m\angle OBA[/tex]
[tex]42^\circ=m\angle OBA[/tex]
In triangle ABO,
[tex]m\angle AOB+m\angle OAB+m\angle OBA=180^\circ[/tex] (Angle sum property)
[tex]m\angle AOB+42^\circ+42^\circ=180^\circ[/tex]
[tex]m\angle AOB=180^\circ-42^\circ-42^\circ[/tex]
[tex]m\angle AOB=96^\circ[/tex]
Now,
[tex]m\angle AOB+m\angle BOC=180^\circ[/tex] (Linear pair)
[tex]96^\circ+x=180^\circ[/tex]
[tex]x=180^\circ-96^\circ[/tex]
[tex]x=84^\circ[/tex]
Therefore, the value of x is 84 degrees.
what is the volume of the square pyramid? answer i need this done for my geometry credit thank you
Answer: 171.5
Step-by-step explanation:
1/2 x 7 x 7 x7 = 171.5 cm3
Answer:
[tex]volume=1/3(area ~of ~base) \times( height)[/tex]
[tex]v=1/3(7\times7)\times7[/tex]
[tex]v=343/3[/tex]
[tex]v=114[/tex]
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hope it helps...
have a great day!!
Question 1: Use the image and your knowledge of the isosceles triangle to find the value of x
Answer:
35 degrees
Step-by-step explanation:
since both sides are equal, so are the angles involved.
What percentage of 1hour is 6munites 20seconds
Answer:
10
Step-by-step explanation:
10 percentage for this question answer
List a function that's it's own inverse
==========================================================
Explanation:
If g(x) is the inverse of f(x), and vice versa, then we have these two properties:
f(g(x)) = xg(f(x)) = xSince we want to find a function that is its own inverse, we want f(x) and g(x) to be the same function.
Through trial and error, you should find that f(x) = g(x) = x fit the description.
f(x) = x
f( g(x) ) = g(x) ... replace every x with g(x)
f( g(x) ) = x
You should find that g(f(x)) = x as well.
One possible answer is f(x) = x
---------------------------
Through more trial and error, you should find that f(x) = g(x) = 1/x works as well. In fact, anything of the form f(x) = g(x) = k/x will work.
The proof can be written as follows
f(x) = k/x
f( g(x) ) = k/( g(x) )
f( g(x) ) = k/( k/x )
f( g(x) ) = (k/1) divide (k/x)
f( g(x) ) = (k/1) * (x/k)
f( g(x) ) = x
Through similar steps, you should find that g(f(x)) = x is the case also.
This proves that f(x) = k/x is its own inverse, where k is a real number constant.
Another possible answer is anything of the form f(x) = k/x
If we pick k = 3, then we get f(x) = 3/x which is the answer I wrote above.
You can pick any k value you want.
---------------------------
There may be other types of functions that have this property, but I'm blanking on what they might be.
Kathy travels in a taxi which charges $ 5.75 flat rate in addition to $ 2.50 per mile. Kathy has only $25 in her wallet. How many miles can Kathy travel without exceeding her limit?
HELPP
Answer: 7.7 miles
Step-by-step explanation:
2.5x + 5.75 = 25 (x = each mile traveled)
2.5x = 25 - 5.75
2.5x = 19.25
x = 7.7 miles
use the diagram to compute the perimeter and area of the triangle.
Answer:
The area is 22.5 units
The perimeter is 24.3 units
Step-by-step explanation:
The formula for the area of a triangle is A=bh(1/2)
So, base*height (5*9) is 45. Divide that by 2, and you get 22.5.
To find the perimeter, it looks like the triangle is a right triangle. To solve for that, use the Pythagorean theorem formula: a2 + b2 = c2.
5^2+9^2=c^2
25+81=106=c^2
Find the square root of 106
10.2956301
If your teacher usually asks to round, round.
I'll just round to the tenths place. 10.3
Add all the sides: 5+9+10.3
You get 24.3
Answer:
perimeter= 24.29
area=22.5
Step-by-step explanation:
a^2+b^2=c^2
5^2+9^2=106
106^(1/2)=10.29
perimeter= sum of all sides
""= 5+9+10.29
""=22.29
area= base × height ÷ 2
""= (5×9)÷2
""=22.5
Please help me with this one I seriously suck at math
Answer:
6×5+8×6+6×7+2×1/2×4×8
= 152 in^2
○●○●○●○●○●○
☆Hope it helps...
What is the phenomenon that many types of data analysis become significantly harder as the dimensionality of the data increases
Answer:
the curse of dimensionality
Step-by-step explanation:
the cause of dimensionality has to do with the different phenomena that comes up whenever data is to be analyzed or organized in high dimensional spaces which do not happen in low dimensional spaces. This curse can be explained simply as having error increase just as there are increases in the number of features. when the features we have is more than the observations, it could cause the model to be overfitted.
Which function is graphed below?
algebra 2
Answer:
x=0..............................
Date
Prove that sintheta sec theta+costheta cosec theta=
2 cosec 2theta
Answer:
See Below.
Step-by-step explanation:
We want to prove that:
[tex]\displaystyle \sin\theta\sec\theta+\cos\theta\csc\theta = 2\csc2\theta[/tex]
Let secθ = 1 / cosθ and cscθ = 1 / sinθ:
[tex]\displaystyle \frac{\sin\theta}{\cos\theta}+\frac{\cos\theta}{\sin\theta}=2\csc2\theta[/tex]
Creat a common denominator. Multiply the first fraction by sinθ and the second by cosθ. Hence:
[tex]\displaystyle \frac{\sin^2\theta}{\sin\theta\cos\theta}+\frac{\cos^2\theta}{\sin\theta\cos\theta}=2\csc2\theta[/tex]
Combine fractions:
[tex]\displaystyle \frac{\sin^2\theta + \cos^2\theta}{\sin\theta\cos\theta}=2\csc2\theta[/tex]
Simplify. Recall that sin²θ + cos²θ = 1:
[tex]\displaystyle \frac{1}{\sin\theta\cos\theta}=2\csc2\theta[/tex]
Multiply the fraction by two:
[tex]\displaystyle \frac{2}{2\sin\theta\cos\theta}=2\csc2\theta[/tex]
Recall that sin2θ = 2sinθcosθ. Hence:
[tex]\displaystyle \frac{2}{\sin2\theta}=2\csc2\theta[/tex]
By definition:
[tex]\displaystyle 2\csc2\theta = 2\csc2\theta[/tex]
Hence proven.
Ling must spend no more than $40.00 on decorations for a party. She has spent $10.00 on streamers and wants to buy bags of balloons as well. Each bag of balloons costs $2.50. The inequality below represents x, the number of bags she can buy given the spending limit and how much she has already spent on streamers.
10 + 2.5 x less-than-or-equal-to 40
Which best describes the number of bags of balloons she can buy?
Answer:
She can buy from 0 to 20 bags, but no more.
Answer:
b <3
Step-by-step explanation:
Tìm x €N: a) 24:(2x-4)+14=26
Help and explain !!!!
i believe it's y-intercept!
to be honest i was never taught why it was the y-intercept, i was just told that it was. hope this helps!
whats the function for y=-4x+3
Answer:
the function for y=-4x+3
= soln,
y=mx+b"
What is the domain and range of graph!!! 10 points!!!
Answer:
THIRD OPTION - Domain: (0, infinity)
Range: (-infinity, + infinity)
Step-by-step explanation:
The graph is an asymptote, therefore the domain must start at 0 and end at infinity. The range is all real numbers because eventually it will reach all y values.
Help and explain pls and ty
[tex]\displaystyle\bf (3-5\sqrt{5} )-(5\sqrt{3} -3)=3+3-5\sqrt{5} -5\sqrt{3} =\boxed{6-5\sqrt{5} -5\sqrt{3} } \\\\\\\\\sqrt{5} (\sqrt{5} -2x)=\boxed{-2x\sqrt{5} +5}[/tex]
Let ABCD and EFGH be two quadrilaterals such that ABCD ~ EFGH. If AB = 15 cm, EF = 18 cm and the perimeter of ABCD is 40 cm, find the perimeter of EFGH.
Step-by-step explanation:
this photo is correct answer of this question.
2x - y when x = 0 and y = -5
Answer:
5
Step-by-step explanation:
2x - y when x = 0 and y = -5
2(0) - (-5) =
= 0 + 5
= 5
Answer:
5
Step-by-step explanation:
2x-y
2(0)-(-5)
0-(-5)
0+5
5
What is the equation of the line graphed below?
Answer:
y=2/5x
Step-by-step explanation:
Rise over run: you rise by 2, run by 5. Or you can use the slope formula: m=y2-y1/x2-x1
2-0/5-0=2/5=m
The following table shows the amount of red paint that can be added to different amounts of white paint while making a custom paint color:
Answer:
it is 1:5
Step-by-step explanation:
The table shows the amount of red paint that can be added to different amounts of white paint while making a custom paint color:
Paint Color
Quarts of Red Paint Quarts of White Paint
4 20
5 25
7 35
8 40
Which statement is true about the
ratio of red paint to white paint in the paint color?
it is 1:16
it is 16:1
it is 5:1
it is 1:5
Ratio of red paint to white paint in the paint color = 4 : 20
= 4/20
= 1/5
= 1 : 5
Ratio of red paint to white paint in the paint color = 1 : 5
Ratio of red paint to white paint in the paint color = 5 : 25
= 5/25
= 1/5
= 1 : 5
Ratio of red paint to white paint in the paint color = 7 : 35
= 7/35
= 1/5
= 1 : 5
Ratio of red paint to white paint in the paint color = 8 : 40
= 8/40
= 1/5
= 1 : 5
What percent did the price drop
Answer:
10%
Step-by-step explanation:
You have the correct answer. Nice job!
Type the correct answer in each box. Use numerals instead of words
Answer:
a) 1.73
b)1.32
Step-by-step explanation:
y = f(x) = 3^x
f(1/2) = 3^1/2 = √(3) = 1.73
f(1/4) = 3^1/4 = 1/4√3 = 1.32
Please help! i have no idea how to do this, all i know is it's the sine rule. it's due tomorrow so if you know how to do this please help haha
Answer:
93.2°
Step-by-step explanation:
[tex]\frac{sin(38)}{9} = \frac{sin(c)}{11}[/tex] ... c =48.8
a =180-(38+48.8) = 93.2
what shape is this cause I'm having a bit of trouble?
Answer:
isn't that a square or is it called sum eles-
Step-by-step explanation:
Find the length of side xx in simplest radical form with a rational denominator.
Answer:
Solution given:
Relationship between perpendicular and hypotenuse is given by sin angle
Sin 30°=opposite/hypotenuse
½=[tex]\frac{x}{9}[/tex]
x=[tex]\frac{9}{2}[/tex]
The value of x is [tex]\frac{9}{2}[/tex]
Someone tell me where everyone is going right please !!
Answer:
A 2
B 1
C 4
D 3
Step-by-step explanation:
( ) means not including (also used for infinity)
[ ] means including
The answer choices are in interval form, showing all the possible answer choices between two numbers and if the answer choice includes or excludes a number using the () []
Explanation for A:
x < 7.8 means x won't include 7.8 since the symbol is "less than" and not "less than or equal to".
x can be anything, it just has to be less than 7.8, so the answer is:
2 (-infinity, 7.8)
Explanation for B:
x <= 7.8 means x will include 7.8 since the symbol means "less than or equal to".
x can be anything, it just has to be less than or equal to 7.8, so the answer is:
1 (-infinity, 7.8]
Explanation for C:
x >= 7.8 means x will include 7.8 since the symbol means "greater than or equal to".
x can be anything, it just has to be greater than or equal to 7.8, so the answer is:
4 [7.8, infinity)
Explanation for D:
x > 7.8 means x won't include 7.8 since the symbol means "greater than" and not "greater than or equal to".
x can be anything, it just has to be greater than 7.8, so the answer is:
3 (7.8, infinity)
Hope it helps (●'◡'●)
Answer:
A:2 B:1 C:4 D:3
Step-by-step explanation:
Jamie's chemistry textbook weighs 7/10 of a pound and his geometry textbook weighs 3/5 of a pound. How much more does the chemistry textbook weigh than the geometry textbook?
The tables below show the values of y corresponding to different values of x: Table A x 3 3 2 y 1 0 0 Table B x 3 5 5 y −2 2 −2 Which statement is true for the tables? (1 point) Both Table A and Table B represent functions. Both Table A and Table B do not represent functions. Table A does not represent a function, but Table B represents a function. Table A represents a function, but Table B does not represent a function.
Answer:
is it possable you can show the graph
Step-by-step explanation:
Answer:
2nd option ,that is, Both tables do not represent a function.
Step-by-step explanation:
For a table to represent a function it's input value must correspond to exactly one output value.
As in Table A the input value of 3 corresponds to 2 different outputs, where
as in table B the input value of 5 corresponds to 2 different outputs.
x is taken as the input and y is taken as output for both the tables.Therefore, Both tables dobnot represent a function.
What is the midpoint of the segment with endpoints(-4, -
2) and (2, 6)?
Answer:
(-1,2)
Step-by-step explanation:
hope you find this useful!
https://ncalculators.com/geometry/mid-points-calculator.htm
A cubical water tank can contain 1000/125 cubic meters of water. Find the length of a
side of the water tank.
2 meters 3 meters
1/2 meters
1/3 meters
Answer:
2 meters.
Step-by-step explanation:
We know that a cube of sidelength L has a volume:
V = L^3
Here, we know that the volume of water that the cube can hold is:
(1000/125) m^3
Then the volume of our cube is exactly that:
V = (1000/125) m^3
Then we have the equation:
L^3 = (1000/125) m^3
Which we can solve for L
L = ∛((1000/125) m^3 ) = (∛1000/∛125) m
Where we used that:
∛(a/b) = ∛a/∛b
Solving the cubic roots, we get:
L = (10/5) m = 2m
The length of the side of the water tank is 2 meters.