Answer:
x = 33°
Step-by-step explanation:
From the figure attached,
FB and FC are two secants intersecting each other at point F outside the circle.
Measure of angles between the secants measures half of the difference between the intercepted arcs.
x° = [tex]\frac{1}{2}(\text{arc BC}-\text{arc DE})[/tex]
x° = [tex]\frac{1}{2}(108-42)[/tex]
x = 33°
Find the sum of the measures of the interior angles of the indicated convex polygons.
1. 17-gon
2. 24-gon
Answer:
1. 17 - gon
sum of the of measures of interior angles = 180(n-2).....(formula)
here n = 17
therefore, 180(17-2)
= 180(15)
= 2700 degrees
2] 24 - gon
sum of the of measures of interior angles = 180(n-2).....(formula)
here n = 24
therefore, 180(24-2)
= 180(22)
= 3960 degrees.
In a poll to pick the name of a new planet discovered in a distant solar system, a total of 963 scientists voted. There were four names to pick from. The winning name exceeded the other names by 53, 79, and 105 votes, respectively. How many scientists voted for the name which came fourth in the poll?
Answer:
195
Step-by-step explanation:
Let wining name have, x votes
1st = x
2nd = x - 53
3rd = x - 79
4th = x - 105
x + (x - 53) + (x - 79) + (x - 105) = 963
x + x - 53 + x - 79 + x - 105 = 963
4x - 237 = 963
4x = 963 + 237
4x = 1200
x = 1200 / 4
x = 300
4th = x - 105
x - 105 = 300 - 105 = 195
Ben wants to have his birthday at the bowling alley with a few of his friends, but he can spend no more than $80. The bowling alley charges a flat feeof $45 for a private party and $5.50 per person for shoe rentals and unlimited bowling. Write an inequality that represents the total cost of Ben’s birthday for p people given his budget.
Answer:
45+5.50p=80
Step-by-step explanation:
45 is the flat fee and 5.50 is the shoe rental and unlimited bowling, so p is next to that because its 5.50 PER person so if ben had 2 people it would be 5.50 times 2 plus 45. But remember it cannot be over 80. please mark brainliest
please help!! will mark brainliest
What is the area of a circle whose radius is 54 feet?
The area is ___ ∏ ft²
Answer:
2916 pi ft
Step-by-step explanation:
Area of a circle: pi r ^2
54^2 = 2916
Hope this helps!
Help plz im doing homework!!!!!
anyone help with this?
soylindo del 1 al 10
Answer:
6.5
Step-by-step explanation:
Calculate the distance the train will travel in 3/4 hour.
Answer:
what is the speed of the train? if that is miles per hour just figure out what 75% is of that number
Step-by-step explanation:
HELP ME PLEASE!!,I WILL GIVE BRAINLIEST!!I PROMISE:)!!
Answer: C
The denominator is just the number on the bottom. In this case its [tex]2\sqrt{2}[/tex]
Question 2
Which of the following sets of ordered pairs represents a relation that is not a function?
If a train goes 20 km east then it turns and travels 43 km north then it goes 20 km west then travels south in an unknown number of kilometers and at the end there back in the original location how far did the train travel south
Answer:
Answer is 43 km.
Step-by-step explanation:
Let's draw diagram to solve the problem.
Triangle ABC is an acute triangle. Two sides measure 5 and 7. What is the range of possible values for its third side?
Answer:
the desired range is 2 < t < 12.
Step-by-step explanation:
If the third side is 12 (the sum of 5 and 7), we don't really have a triangle, since the 5-unit and 7-unit sides add up to 12 and lie on the third side (of length 12).
Since triangle ABC is acute, all its angles are between 0 and 90 degrees. So the third side can be 12 but not greater. The smallest possible length of the third side is 2, since 5 + 2 = 7.
Thus, the desired range is 2 < t < 12.
2. Mr. Hoffman has a circular chicken coup with a radius of 2.5 feet. He wants to put a chain link fence around the coup to protect the chickens. Which measurement is closest to the length of fence he will need?
Answer: 15.7ft
Step-by-step explanation:
Answer:
15.7 ft
Step-by-step explanation:
took the test
Which expressions are equivalent to 7x - 14? Check all that apply.
A: 14 - 7x
B: x - 2
C: -(14 - 7x)
D: 7(x - 2)
E: 3x - 14 + 4x
F: 2x - 10 + 5x + 4
Answer:
c
d
e
Step-by-step explanation:
A scientist illegally introduces new species of honey bees in their labs. The growth of the population of this new species is modeled by the equation below, where x is the time in weeks following the introduction of the species. If the lab contains 450 bacteria after 2 weeks, how many bacteria did the scientist initially create?
A,30
b.40
c.50
d.60
can u solve this with the work ?
Answer:
just search up Mathaway in your browser you will get your answer and a step by step explanation!
Step-by-step explanation:
Answer:
156
Step-by-step explanation:
HELPPPPPPPPPPPPPPPP
Don’t do it if u don’t know because this is important and I can’t get a bad grade
Answer:
it is A hope this helps
Step-by-step explanation:
Can someone help with numbers 1 and 2 for both of them tell me the answer and how you get it
Answer:
Here a = 20,, b= 8
Step-by-step explanation:
Using Pythagoras theorem,
a^2 + 15^2 = 25^2 ,, b^2 + 6^2 =10^2=100
Answer:
a = 20, b = 8
Step-by-step explanation:
Using Pythagoras' identity
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.
(1)
a² + 15² = 25²
a² + 225 = 625 ( subtract 225 from both sides )
a² = 400 ( take the square root of both sides )
a = [tex]\sqrt{400}[/tex] = 20
(2)
b² + 6² = 10²
b² + 36 = 100 ( subtract 36 from both sides )
b² = 64 ( take the square root of both sides )
b = [tex]\sqrt{64}[/tex] = 8
(2+h)^4 is equal to what
Answer:
16+32h+24h²+8h³+[tex]h^{4}[/tex]
Step-by-step explanation:
Please help me
If you move 5 meters south and then move 2 meters north what is the distance and displacement
Answer:
10
Step-by-step explanation:
6)a garden was square, but last year she made it makes or shortening one side 5 meters and the other 8 meters. If the area of the smaller garden is 180 m², then what was the area of her square garden
Answer:
let dimention of original garden be x
then (x-8)(x-5) = 180
x^2 -13x -140 = 0
(x-20)(x+7)=0
x= 20 or x = -7
x = 20
original area = (20)^2
= 400 m^2
Find the value of the variables
Answer:
Step-by-step explanation:
[tex]\text{Since there are two 45 degree angles.}\\ \\ a=4\sqrt{2}\\ \\ \text{By the Pythagorean Theorem }c^2=a^2+b^2,\text{ and in this case a=b so }\\ \\ c^2=2(4\sqrt{2})^2\\ \\ c^2=2(16)2\\ \\ c^2=64\| \\ c=\sqrt{64}\\ \\ c=8[/tex]
Find the surface area of the triangular prism shown below.
Answer:
the surface area is 544 square units
Step-by-step explanation:
the tringles first
12 x 8 = 96
base
12 x 14 = 168
sides
10 x 14 x 2 = 280
96 + 168 + 280
im going to break it down
000 + 100 + 200 = 300
90 + 60 + 80 = 230
6 + 8 + 0 = 14
300 + 230 = 530
530 + 14 = 544
The surface area of the triangular prism is equivalent to 330 units square.
What is a triangular prism?A triangular prism is a 3D shape with two identical faces in the shape of a triangle connected by three rectangular faces.
Given is a triangular prism as shown in the image.
We can calculate the surface area of the triangular prism as follows -
A{P} = {2 x A(T)} + {2 x A(R)} + A{B}
A{P} = {2 x 1/2 x 12 x 8} + {2 x 14 x 10} + {14 x 12}
A{P} = 12 x 8 + 2 x 140 + 14 x 12
A[P} = 4{3 x 2} + 2(7 + 6) + 280
A[P} = 24 + 26 + 280
A{P} = 330 units square
Therefore, the surface area of the triangular prism is equivalent to 330 units square.
To solve more questions on prisms, visit the link below -
https://brainly.com/question/11336446
#SPJ2
A puppy weighs 4 pounds. Six months later, the puppy weighs 22 pounds. What is the average weight per month?
Answer:
3 pounds per month
Step-by-step explanation:
22-4 = 18
18/6=3
The radius of the base of a right circular cone is 6 yards, and its slant height is 12 yards. If the radius and the slant height are each multiplied by 4, by what factor is the surface area multiplied?
A. 4
B. 8
C. 16
D. 24
Answer:
the correct answer is C
Step-by-step explanation:
i took the test
637m as a fraction of 7.7km
Answer:
637/7700
Step-by-step explanation:
7.7 km = 7700 m
the area of a triangle is 36cm squared. give three possible sets of dimensions for the triangle's base and height, explain whether you can also give the side lengths of the triangle
Answer:
1.
Set 1: b = 1, h = 72
Set 2: b = 2, h = 36
Set 3: b = 3, h = 24
2. Yes, you can accurately find the length of the sides.
Hope this helps. Have a nice day.
find the values of x and y.
Answer:
x= 60° , y = 60 °
Step-by-step explanation:
x = 60°
y = 60°
plz mark my answer as brainlist plzzzz.
hope this will be helpful to you .
if you find it useful.
HELP PLS :(
At a closed landfill, trash is decaying at a rate of 50% every 15 years.
Which type of function best models the amount of
trash that is remaining after x years?
linear
exponential
quadratic
cubic
Answer:
I believe it's linear
Step-by-step explanation:
don't quote me on that tho
Michèle is buying carpet for a room with the dimensions shown