Answer:
x = 58°
Step-by-step explanation:
First, we need to find the green angle on the bottom left of the triangle.
We know that straight lines are supplementary, or equal 180 degrees, so we can say that 114° + a (a variable representing the measure of the angle) = 180°.
Equation:
114 + a = 180
Solve:
114 + a = 180
-114 -114
a = 66
Therefore, the value of the green angle is 66 degrees.
Now, we need to find the value of angle x.
We know that the sum of the angles in a triangle is 180 degrees.
So, 56° + 66° + x = 180°
Equation:
56 + 66 + x = 180
Add:
56 + 66 + x = 180
122 + x = 180
Subtract:
122 + x = 180
-122 -122
x = 58
Therefore, x is 58 degrees.
Answer:
58
Step-by-step explanation:
An exterior angle is equal to the two remote interior angles. It would be easier to understand that just by adding the numbers in an equation.
Exterior angle = 114
Remote interior angles = x and 56
exterior angle = sum of x and 56 which are the two remote interior angles.
x + 56 = 114 Subtract 56 from both sides.
x+56-56=114-56
x = 58
Can some one help me with 27?
Answer:
11.8
Step-by-step explanation:
Please help me find the properties of a square
Answer:
1)all the sides of the square are equal
2)all the angles in a square are 90°
3)diagonals are perpendicular to each other
4)diagonals are in equal length
I know this properties only
I hope it was helpful to u
Answer:
x=2
Step-by-step explanation:
Since all sides of the square are equal, hence here GD=FG
so,
8x = x+14
8x-x = 14
7x = 14
Dividing both sides by 7
x=2
Come up with your own system to measure angles. What would you call your unit of measure and how would it work. Describe your system and give some examples of typical angle measures like the corner of a room or a slice of pizza.
Answer:
You can try a picture memory method to help students
An example write down notes of what the triangle laws are for angles.
Then interpret them into your picture measurement theory.
Example could be the perpendicular measures of a right angle can be used
to find an area would be the M but as we are finding angles we could use the Big A instead of degrees sign.
We could provide pictures of cars to represent trigonometry
Where back wheels opposite angles and sides from slant are both the unit measure used in Side/sin( A) x sin (B) so this way you label the car wheel angle above of the square boot 'side on' and this angle is A
The B is the one above it linking the slant to find the other measure.
You are asked to design a theme around measuring angles so you need to look at other sin cos and tan calculus to design a picture that can create an image like i've given to find slant.
You need to one that finds angles.
However if you do find a car can help you can always call it square boot as in square root, considering 2/3 of sin cos and tan are square root measures.
Step-by-step explanation:
See the attached ideas and trigonometry
Picture memory Trigonometry
Picture 1. Sunrise Ah side looks for side measure.
The number above is the hypotenuse
A/H = cos ( ) x hyp =base A/H = cos ( ) x hyp = side
Picture 2.Sunrise Soh looks for side measure.
The number above it is the hypotenuse
O/H = sin ( ) =p (for product) take the p x hyp.
Picture 3 Sunrise Toast (Toa) looks for side measure = O/A
Tan ( lower angle ) x base = side
Picture 4 Side of car (Soh) with window as hypotenuse.
Two wheels are the 2 angles given and the back seat is perpendicular to both wheels =
so the triangle structure looks like this /00|7
so you type in 7/sin ( 1st wheel) x (2nd wheel) = hypotenuse.
Both angles given or worked out this is when this is used.
Picture 5 Electric mast looking for slope SIN =S/P = O/A
Angle at top
We have the side at 70 and looking for the slope
Sin( top angle) = p then side/p = hyp
Picture 6
Top angle and base given creates a T this means half both of them before dividing.
To find hypotenuse
Half = 1/2 base / sin (1/2) = hypotenuse
Picture 7
Top angle and base given creates a T this means half both of them before dividing.
To find height =
Half = 1/2 base /Tan 1/2) = Triangle height.
Key checker after pictures are drawn is;
sunrise = low angle x side or low angle x base = hypotenuse.
car = backseat x wheels = hypotenuse always remember when car on side the first
wheel first, second wheel 2nd first in the calculator. The wheels are the 2 angles that
make the car when flipped.
Half = 1/2 base / sin (1/2) = hypotenuse
Half = 1/2 base / tan (1/2) = height
Just take care with top angle and lower angle key words in the drawing descriptions and then the pictures will help.
Need help with this question thank you
I'm pretty sure it's A and D
There are 20 cars competing in a race. In how many ways can the cars be awarded first, second, and third place?
826,880
6,840
1140
51,680
Please help me!
Answer:
6,840
Step-by-step explanation:
The total number of possible ways in which the position can be awarded are 1140.
What is the formula to expand the combination function f(n, r) = C(n, r)?We can write the combination expansion formula as -
f(n, r) = C(n, r) = n!/(n - r)!r!
Given is that there are 20 cars competing in a race. We have to find in how many possible ways can the cars be awarded first, second, and third place.
Total number of cars = {n} = 20
Total number of positions = {r} = 3
Total number of ways in which the position can be awarded -
C(20, 3) = 20!/(20 - 3)!3!
C(20, 3) = 20!/17!3!
C(20, 3) = (20 x 19 x 18 x 17!)/(17! x 3 x 2)
C(20, 3) = (20 x 19 x 18)/6
C(20, 3) = 20 x 19 x 3
C(20, 3) = 1140
Therefore, the total number of possible ways in which the position can be awarded are 1140.
To solve more questions on permutation & combination, visit the link below-
https://brainly.com/question/30649574
#SPJ3
The diagram shows a circle inside a square.
a
16 cm
Work out the area of the circle.
Answer 234
hope helped
F and H are sets of real numbers defined as follows.
F={w | w>3}
H={w | w>6}
Write FUH and Fn H using interval notation.
If the set is empty, write Ø.
Answer:
[tex](a)F \cup H=(3, \infty)\\(b)F \cap H=(6, \infty)[/tex]
Step-by-step explanation:
Given the sets F and H of real numbers defined as given:
F={w | w>3}
H={w | w>6}
To write a set in interval notation, we use these brackets, ( ) for < or > while we use [ or ] for [tex]\leq $ or \geq[/tex].
Since our sets are defined by strict inequalities(< or >)
In interval notation
[tex]F=(3,\infty), H=(6,\infty)[/tex]
[tex](a) F \cup H =(3,\infty) \cup (6,\infty) \\\\F \cup H=(3, \infty)\\\\(b) F \cap H =(3,\infty) \cap (6,\infty) \\\\F \cap H=(6, \infty)[/tex]
Please answer CORRECTLY !!!!!!!!! Will mark brainliest !!!!!!!!!!
What’s the area of the triangle for this question
Answer:
75
Step-by-step explanation:
to find the area of a triangle, multiply the base by the height, and then divide by 2. the division by 2 comes from the fact that a parallelogram can be divided into 2 triangles. for example, in the diagram to the left, the area of each triangle is equal to one-half the area of the parallelogram.
Answer:
75
Step-by-step explanation:
The formula is hb/2
how many pounds fit into one ton
Answer:
2000
Step-by-step explanation:
there are 2000 pounds in a ton
Find the interquartile range (IQR) in the data plot below. I WILL GIVE THE BRAINIESTTO THE RIGHT ANSWER!!!
Answer:
3.5
Step-by-step explanation:
0 1 1 3 3 3 4 5 7
median= 3
Q1= 1
Q3= 4.5
4.5-1= 3.5
Answer: 11...
If wrong I am soooo sorry
For a 11 1/5 mile trail ride, trail markers will be set up every 1/10 mile. How many markers are needed. Show work.
Answer:
112
Step-by-step explanation:
11 1/5 divied by 1/10
someone please help on this questions and I will mark as brainelist if it is correct
Answer: 45 degrees
Step-by-step explanation:
It’s a square so every corner is 90 but it bangs to know half of it which is 45
What is 3 120/10 simpfly to
Answer:
15
Step-by-step explanation:
3 120/10
Please help! I need help on this and it's due today!!! Help help help!
Answer:
20 feet
Step-by-step explanation:
Answer:
20 more feet
Step-by-step explanation:
|-20| = 20 more feet
Find the sum and classify the polynomial based on degree and number of terms. 3n^2(5n^2 -2n +1) + (4n^2 -11n^4 -9) (A.) 4th degree polynomial with 4 terms (B.) 4th degree polynomial with 3 terms (C.) 3rd degree polynomial with 3 terms (D.) 3rd degree polynomial with 4 terms
From the given polynomial , the sum is [tex]4n^4-6n^3+7n^2-9[/tex]
It is a 4th degree polynomial with 4 terms
Given :
The polynomial sum is
[tex]3n^2(5n^2 -2n +1) + (4n^2 -11n^4 -9)[/tex]
Distribute 3n^2 inside the parenthesis
[tex]15n^4-6n^3+3n^2+(4n^2-11n^4-9)\\15n^4-6n^3+3n^2+4n^2-11n^4-9\\combine \; like \; terms\\4n^4-6n^3+7n^2-9[/tex]
From the above polynomial , the highest exponent is 4
The degree of the polynomial is 4
Total we have 4 terms in the polynomial
So the final polynomial is
4th degree polynomial with 4 terms
Learn more : brainly.com/question/10024410
Answer:
A: 4th degree polynomial with 4 terms
Step-by-step explanation:
Justin rolled a number cube 48 times. The cube landed on the number six
4 times. Is the experimental probability greater than or less than the
theoretical probability? Explain.
Answer:
Dam emily really got the answer tho-
Step-by-step explanation:
Because i made a random acc and typed in this to get the answer
(7 x 10^5) divide (2 x 10^2)
Answer:
3.5 ⋅ 10^3
Step-by-step explanation:
Answer:
500
Step-by-step explanation:
(7 x 10^5) divide (2 x 10^2)
(7 x 100000) divide (2 x 100)
700000 divide 200
500
helpppppp me im stupid
Answer:
c
Step-by-step explanation:
Answer:
270,000
Step-by-step explanation:
That is the answer
What is the maximum of the following set of data?
1.2, 1.3, 1.2, 1.5, 1.6, 1.1, 1.0
Answer:
1.6
Step-by-step explanation:
The maximum is the greatest number
Answer:
1.6
Step-by-step explanation:
Construct a stem-and-leaf plot listing the scores below in order from lowest to highest.
14, 10, 22, 27, 35, 39, 53
Pleaseee helppppp!!!
A rectangular prism has a length of 3 m, a width of 4 m, and a height of 2 m.
Which expressions can be used to find the volume of the prism?
Select each correct answer
3.4.2
2( 3 / +44)
(15.2)
153.2
Answer:
The first one and the last
Step-by-step explanation:
Answer:
3[tex]\frac{1}{2}[/tex] . 4[tex]\frac{1}{2}[/tex] . 215[tex]\frac{3}{4}[/tex] . 2Step-by-step explanation:-)
Volume of a Rectangular prism :
Volume=Width×Height×Length
Volume= 3[tex]\frac{1}{2}[/tex] × 4[tex]\frac{1}{2}[/tex] × 2
I will mark as BRAINLIEST
Answer:
the answer will be k^3
Step-by-step explanation:
Sort of confused me, not really good with graphs so please help! :)
Answer:
Step-by-step explanation:
okay on your garph look at the line with the negative numbers and the line with positive numbers. Once you spot them, start with ploting (-8,0) fined -8 and make sure you also fined 0 on the positive line. You have to connect the line to make sure -8 and 0 are on the same line. Then do the same for 0,6 but both are on the positive line so it won't be hard
What is the volume of a hemisphere with a radius of 9.2 cm, rounded to the nearest tenth of a cubic centimeter?
Answer:
volume of the hemisphere ≈1577.5 cm³
Step-by-step explanation:
To find the formula for calculating the volume of a hemisphere, we will follow the steps below:
write the formula for calculating the volume of a hemisphere.
volume of a hemisphere = volume of a sphere ÷2
= [tex]\frac{4}{3}[/tex]πr³ ÷ 2
=[tex]\frac{2}{3}[/tex] πr³
WHERE r is the radius
from the question given, radius= 9.2 cm
π is a constant and is ≈ 3.14
we can now proceed to insert the values into the equation
volume of a hemisphere = [tex]\frac{2}{3}[/tex] πr³
= [tex]\frac{2}{3}[/tex] × 3.14 ×9.2³
= [tex]\frac{2}{3}[/tex] × 3.14 ×753.571
≈1577.5 cm³ to the nearest tenth of cubic centimeter
volume of the hemisphere ≈1577.5 cm³
Answer:
3261.8
Step-by-step explanation:
Which number is written in scientific notation?
A. 4.5 x 10^-3
B. 14.5 x 10^2
C. 0.78 x 10^-6
D. 5.7 x 4^8
Answer:
B hope this helped:) (please tell me if it was right or wrong)
Shen picks a rational number. What is true about the opposite of his number?
Answer:
It is the same distance from 0 as the original number
a rational number is any number that can be written as a fraction.
lets say she picked 1/4...the opposite would be -1/4...both are equidistant from 0.
Step-by-step explanation:
Answer:
Step-by-step explanation:
Opposite: Shen's number changes sign, e. g., -2 to +2.
If you meant "reciprocal," then you must ensure that the denominator of the 'new' number is never zero. 3/5 => 5/3 is ok. But x/6 = 6/x is OK ONLY for x not equal to zero.
The container that hold water for the football team is 1/2 full. After poring 9 gallons of water , it is 5/6 full. How many gallons can the container hold?
Answer:
24 or 18 gallons
Step-by-step explanation:
Answer:
18 gallons. I think.
What is the equation of the linear function ?
Answer:
B: -1/2x +3
Step-by-step explanation:
the graph is up 3 units, making the +3. Rise/run to determine slope. it rises 1 unit for every 2 units it runs. i
A point lies on the line y = 3x - 2
Its x-coordinate is 4
Write down the coordinates of this point.
Answer:
(4, 10)
Step-by-step explanation:
It gives the x coordinate of 4. The y coordinate is found when you plug the x value into the equation. This makes it y = 3(4) - 2. This equals y = 10. So the y coordinate is 10
Answer:
the coordinates are (4,10)
Step-by-step explanation:
y = 3(4) - 2
y = 10
x = 4