Answer:
c=93
=23-16=7
7+93=100
hence proved
A billiard ball is struck by a cue. It travels 100 cm before ricocheting off a rail and traveling another 100 cm into a corner pocket. The angle between the path as the ball approaches the rail and the path after it strikes the rail is 45 degrees. How far is the corner pocket from where the cue initially struck the ball?
Answer:
76.53 cm
Step-by-step explanation:
From the question, the triangle formed has 2 sides and an included angle ;
Angle, θ = C = 45°
We use cosine rule :
Taking the side to find as c
a = 100 ; b = 100
From cosine rule :
c = sqrt(a² + b² - 2abCosC)
c = sqrt(100² + 100² - 2(100*100)Cos45
c = sqrt(10000 + 10000 - 20000 * 0.7071067)
c = sqrt(20000 - 14142.135)
c = sqrt(5857.865)
c = 76.536690
c = 76.53 cm
13. Which expressions are equal?
a. 2(x + 3) + 2x and 4x + 3
b. 3(x + 2) + 4x and 7x + 6
C. 5x + 2(x + 4) and 6x + 8
d. 4 + 5(x + 2) and 5x + 11
Answer:
B
Step-by-step explanation:
3 x X = 3x 3 x 2 = 6 so 4x + 3x = 7x +6
(05.01)
Which equation can be used to calculate the area of the shaded triangle below? (5 points)
(Answers in photo)
Answer:
answer of the above given question is (c) 1/2(10*6)=30,as we know the area of the triangle is 1/2*base*height.So,we can directly find the area of the triangle.
Find the value of x.
.
10
7
Answer:
X = 12.21
Step-by-step explanation:
Since this is a right triangle, use the formula A^2 + B^2 = C^2 and plug in appropriate values.
(10)^2 + (7)^2 = C^2
100 + 49 = C^2
149 = C^2
12.2065 = C
Rounded to two decimal places, this makes X equal to 12.21.
The required value of x is 12.21 for the given right triangle.
What is the right triangle?A right triangle is defined as a triangle in which one angle is a right angle or two sides are perpendicular.
Pythagoras's theorem states that in a right-angled triangle, the square of one side is equal to the sum of the squares of the other two sides.
Since this is a right triangle, use the formula A² + B² = C² and substitute appropriate values.
(10)² + (7)² = x²
100 + 49 = x²
149 = x²
x = √149
x = 12.2066
Rounded to two decimal places,
x = 12.21
Therefore, the required value of x is 12.21.
Learn more about Pythagoras's theorem here:
brainly.com/question/343682
#SPJ2
is XYZ a right triangle if x=12 y=17 and z=20
[tex]\huge\text{Hey there!}[/tex]
[tex]\text{Is XYZ a right triangle if x = 12, y = 17, and z = 20?}[/tex]
[tex]\bold{Well, right\ angles\ usually\ equal\ to\ about\ approximately \ 90^\circ$}[/tex]
[tex]\bold{12(17)(20)}\\\bold{12(17)=204}\\\bold{204(20)=4,080}\\\bold{4,080\neq90^\circ$}\\\boxed{\boxed{\bold{\underline{NO}, because\ 4,080\ DOES\ NOT\ equal\ to\ to\ 90^\circ }}}\huge\checkmark[/tex]
[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Izzy's Frozen Treats sells both frozen yogurt and frozen custard by the ounce. Last week, Marco noticed that a 3-ounce cup of frozen yogurt cost less than a 3-ounce cup of frozen custard. Marco has $5 to spend at Izzy's Frozen Treats today. Which can he buy more of, frozen yogurt or frozen custard?
A)frozen yogurt
B)frozen custard
plz show the work i really need help and this is Compare rates: word problems
Answer:
A. Frozen yogurt
Step-by-step explanation:
The frozen yogurt costs less than the frozen custard, even though you get the same amount (3 ounces)
No matter how much money Marco has, he would be able to buy more of the frozen yogurt because it has a cheaper unit rate.
So, the answer is A, frozen yogurt
2. Determine the value of each variable for parallelogram INDY has diagonals that intersec at P.1P=3x DP = 6x - 2 NP = 3y and YP=7x-2,
Answer:
x = 2/3 and y = 8/9
Step-by-step explanation:
If a parallelogram INDY has diagonals that intersects at P, then O bisects ID and YN
Hence IP = PD and NP = YP
Given
IP=3x
DP = 6x - 2
NP = 3y and
YP=7x-2,
Substitute
3x = 6x-2
3x-6x = -2
-3x = -2
x = 2/3
x = 0.67
Also NP = YP
3y = 7x-2
3y = 7(2/3) - 2
3y = 14/3 - 2
3y = 14-6/3
3y = 8/3
9y = 8
y = 8/9
Hence x = 2/3 and y = 8/9
POSSIBLE POINTS: 33.33
Tyler can complete his Algebra Il project in 2.5 hours, but if he works with Luke they can finish in 1.5 hours. How long would it take Luke to finish the
project on his own?
Which property is used in the problem below?
2(x+4)=2x+8
Answer:
You would use the distributive property.
Step-by-step explanation:
2(x+4) = 2x+8
2x+8x = 2x+8
10x = 2x+8
10x - 2x = 2x-2x+8
8x = 8
8x/8 = 8/8
x = 1
which of the following statements are true?
Answer:
A. C.
Step-by-step explanation:
Someone plz help me I will give brainliest
Answer:
Step-by-step explanation:
3/4 + 3/4 + 3/4 + 3/4 + 3/4 + 3/4 = (6 x 3)/4 = 18/4 = 4 1/2
evaluate 2-(-4) +(-and) where Y = 7.
Answer:
2-4=4+7=11 so that is the answer begginer
The perimeter of a triangle is 19 units. The second side is four units longer than the first side and the third side is three times the length of the first side. What are the lengths of the sides?
Answer:
First: 3 units Second: 7 units Third: 9 units
Step-by-step explanation:
19=x+(x+4)+3x
19=5x+4
15=5x
x=3
first side is 3 units
3+4=7
second side is 7 units
3*3=9
third side is 9 units
721 + 19 =
886 + 33 -
447 22=
915 + 36 =
??
Answer:
Step-by-step explanation:
I dont know if you still need the answers but im on a mathematics streak so imma jus answer dis rq.
x take away 5 is less than 8
Fill in the missing number in this newspaper report:
Houses cost £100 000 one year ago
They now cost £
This is a 25% increase
How much does it now cost ?
Answer:
£125000
Step-by-step explanation:
Original cost of house = £100 000
Percent increase = 25%
Increase in price = 25% of 100,000
Increase in price = 0.25 * 100,000
Increase in price = 25000
New cost = original cost + Increment
New cost = 100,000 + 25,000
New cost = 125,000
Hence it now cost £125000
Que numero es mayor que -5/4
Answer:
4 is greater than -5
Step-by-step explanation:
positive are greater than negative
can someone please help its due soon.ill give brainliest!
Step-by-step explanation:
LINE K is linear equation
y = mx + b
m = delta y/ delta x
= 6/3
= 2
b = y-intercept (at x = 0, y = 0)
y = 2x
Can someone explain how to do this worksheet? when graphing the lines they don't seem to intersect with a UFO.
Answer:
There are 2 equations together in each box, so what you need to do is graph them both. Then see where they intersect, that will be where the ufo they shot is. For example On the first two set of equations (y=x+6 & y=-x-4) when graphed together they intersect at (-5,1) which is where ufo 6 is. Meaning they shot Ufo 6
Suppose the ratio of Lev's age to Mina's age is $1 : 2$ and the ratio of Mina's age to Naomi's age is $3 : 4$. What is the ratio of Lev's age to Naomi's age? Give your answer in simplest form.
Answer:
3:8
Step-by-step explanation:
The ratio of Mina's age to Naomi's age is 3 : 4
Multiplying the above ratio by 2 = 6:8
The ratio of Lev's age to Mina's age is 1 : 2
Multiplying the above ratio by 3
= 3:6
Therefore, ratio of Lev's age to Naomi's age in simplest form.
= 3:8
Answer:
3:8
Step-by-step explanation:
Let L, M, and N stand for the three ages.
The given ratios tell us that
M = 2L
and
N = 4/3M.
Therefore,
N = 4/3 x 2L = 8/3L.
This means that Lev's and Naomi's ages are in the ratio 3:8.
Which graph shows a vertical translation of ƒ(x) up 5 units to give a new function g(x)?
I mist that one its not the first one
Step-by-step explanation:
Answer:
The correct answer is the last image...I just got it right on the quiz.
Step-by-step explanation:
Help me with this please !!!! I will give you 50 POINTS!!!!!!!!!!!!!!!!!!!!
(っ^_^)っ⊂(◉‿◉)つ⊂（♡⌂♡）⊃⊂(◉‿◉)つ⊂(・▽・⊂)
Answer:
Sysem A has 2 real solutions (both the positive and negative form of a number can be squared to get a positive square)
System B has 0 real solutions (you can't square root a negative number and get a real number)
System C has 2 real solutions (same explanation as System A)
Pls tell me where to put the points at!!
Answer:
it's either in between 1 and 2 or it is 2
Step-by-step explanation:
Randy wanted to survey to determine the most preferred pet of the residents in his city.Which method of samplingBEST represents the most unbiased opinion?
Answer:
Survey 100 residents who have pets completely randomly
Step-by-step explanation:
The best sampling method would be to Survey 100 residents who have pets completely randomly. This would provide first-hand information from actual pet owners which would make the results valid. Also, by choosing the individuals to survey completely randomly it allows for the data to be unbiased and representative of the entire pet owner population in the city. This makes the data gathered completely unbiased and valid.
How many cups are in 4 gallons? With work!
Answer:
64 cups
Step-by-step explanation:
If 1 gallon is equal to 16 cups then 4 gallons will be 16×4= 64
Hope that helps you!
Give the domain and range of each relation. Tell whether the relation is function. Explain. (GUYS I NEED HELP IDEK WHAT DOMAIN OR FUNCTION MEANS) pls help
Answer:
Domain: [0, 4]
Range: [0, 4]
Function? Yes
General Formulas and Concepts:
Algebra I
Domain is the set of x-values that can be inputted into function f(x) Range is the set of y-values that are outputted by function f(x) Vertical Line Test - no function can have the same x-value for different y-coordinatesStep-by-step explanation:
According to the graph, our x-values span from 0 to 4. Since both are closed dot, they are inclusive in the domain:
Interval Notation - [0, 4]
Inequality Notation - 0 ≤ x ≤ 4
According to the graph, our y-values span from 0 to 4. Since both are closed dot, they are inclusive in the range:
Interval Notation - [0, 4]
Inequality Notation - 0 ≤ x ≤ 4
Since we see that each x-value has a unique y-value and passes the vertical line test.
∴ the relation is a function.
Q1. Which of the following are well-defined sets?
(a) All the colors in the rainbow.
(b) All the points that lie on a straight line.
(c) All the honest members in the family.
(d) All the consonants of the English alphabet.
(e) All the tall boys of the school.
(f) All the efficient doctors of the hospital.
(g) All the hardworking teachers in a school.
(h) All the prime numbers less than 100.
(i) All the letters in the word GEOMETRY.
Answer:
A. All the colors in the rainbow.
Step-by-step explanation:
I think.
URGENT HELP NEEDED SO PLS HELP
Answer:
1. 18π
2. 39.27cm
3. 4[tex]x^{5}[/tex][tex]z^{8}[/tex]
The width of a rectangle is x. Its length is 3x. How long is the diagonal of the rectangle? Express your answer in simplified radical form.
Answer:
square 3x which equals to 3x squared the square x which equals to x squared then add 3x squared to x squared to get 4x squared and then take the square root which equals to 4x
how many significant figures are in 2856.110
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