show how to use the unit circle to find tan60
[tex]\tan 60^{\circ}~\text{equals y coordinate divided by x coordinate, where }(x,y) = \left(\dfrac 12, \dfrac{\sqrt 3}2 \right)[/tex]
[tex]\tan 60^{\circ}\\\\= \dfrac yx \\\\\\=\dfrac{\sin 60^\circ}{\cos 60^\circ}\\\\\\=\dfrac{\tfrac{\sqrt 3}2}{\tfrac 12}\\\\\\=\dfrac{\sqrt 3}2 \times 2\\\\\\=\sqrt 3[/tex]
This rule is enough
Now
y=sinAx=cosAHere A=60°
tan60=sin60/cos60tan60=√3/2÷1/2tan60=√3Solve 5(x – 4) = 2(x + 5) for x.
Question 9 options:
x = 5
x = –10
x = 10
x = –5
Answer:
Step-by-step explanation:
the answer for 5(x – 4) = 2(x + 5)
is x=10
your welcome!
Answer:
x = 10
Step-by-step explanation:
5(x – 4) = 2(x + 5) DISTRIBUTE
5x - 20 = 2x + 10 COMBINE LIKE TERMS
3x = 30 ISOLATE X
x = 10 FINAL ANSWER
I hope this helps!
The scale drawing is 2 cm:5m. What is the length,width,and area of the actual room. 8cm & 12 cm
Answer:
Length= 20m, width=30m Area= 600m²
Step-by-step explanation:
The length becomes 8/2 × 5m=20m
the width becomes 12/2 × 5m=30m
Area = length × width
= 20m × 30m
=600m²
Which of the following shapes can be a cross section of a cylinder?
Answer:
Below
Step-by-step explanation:
The second ( Oval) (The cross-section of a slanted plane through curved body of the cylinder)
The third (Circle). ( The cross section of a plane parallel to the base)
The fifth (Rectangle) (The vertical cross section of a plane through the diameters of the top and bottom of the cylinder.).
The shapes can be used are oval, circle and rectangle.
What is Geometry?Geometric shapes are defined as figures closed by a boundary which is made by combining the definite amount of curves, points, and line segments. Each shape has a unique name such as circle, square, triangle, rectangle, etc. In real life, we are surrounded by various basic geometric shapes, like the slice of a pizza is in the shape of a triangle, doors or windows are in the shape of a rectangle, and many more.
Types of Geometric ShapesIn geometry, when an object or a shape is not connected with both ends, it is considered an open geometric shape. When an object or a shape is connected with both ends it is considered a closed geometric shape. There are two types of geometric shapes, classified as:
Two-dimensional: These are 2D shapes that have only the x-axis and y-axis. They are flat structures with 2 dimensions. For example, triangle, square, rectangle, etc.Three-dimensional: These are 3D shapes that have an x-axis, y-axis, and z-axis. The z-axis represents the height of the object. They are solid structures with 3 dimensions. For example, cube, cuboid, etc.First, oval can be used as the cross-section of a slanted plane through curved body of the cylinder.
Then, circle (plane parallel to base)
Then, rectangle the vertical cross section of a plane through diameters.
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Pythagorean Theorem
(Rounding)
Find the length of the third side. If necessary, round to the nearest tenth.
SOMEONE PLEASE HELP ME ILL GIVE YOU BRAINLIST ANSWER AND POINTS!!!!
IMAGE DOWN BELOW!!
Work Shown:
[tex]a^2 + b^2 = c^2\\\\a^2 + 5^2 = 8^2\\\\a^2 + 25 = 64\\\\a^2 = 64-25\\\\a^2 = 39\\\\a = \sqrt{39}\\\\a \approx 6.244998\\\\a \approx 6.2[/tex]
Ms. O'hara brought 2 bags of cookies and 1 pie from Carl. She paid with a $20 bill. What is the total amount of change, in dollars, Ms. O'hara should receive?
A bag of cookies sells for $3.
A pie sells for $8.
Answer:
$6.00 (Six dollars)
Step-by-step explanation:
Two bags of cookies = $6 (2 x $3)
One pie = $8
$6 + $8 = $14
$20-$14 = $6
Ms. O'hara should receive $6 in change.
Select the correct answer.
A paper cup in the shape of a cone is used to get water from a water cooler. It has a height of 3 inches and a diameter of 22 inches
What is the lateral surface area of the paper cup to the nearest square Inch?
OA 15 square Inches
OB.
19 square Inches
ОС.
14 square Inches
OD. 18 square Inches
We will see that the lateral surface area of the cone is 14 square inches.
How to find the lateral surface area?
We know that for a cone of height H and radius R, the lateral surface of the cone is:
S = 3.14*R*H
In this case, we know that eh height is 3 + 5/8 inches, and the diameter is 2 + 1/2 inches. Remember that the diameter is twice the radius, then:
R = (2 + 1/2) in = (1 + 1/4) in
Replacing that on the surface equation, we will get:
S = 3.14*( (1 + 1/4) in)*(3 + 5/8)in = 14 in^2
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Answer:
it's 15
Step-by-step explanation:
guy above was close
Which inequality is shown in this graph?
6
5
(-2, 2)
-5
5
(0, -2)
The inequality of the graph is a linear inequality
The inequality shown in the graph is y > -2x -2
How to determine the inequality?The points on the graph are given as:
(x,y) = (-2,2) and (0,-2)
The slope (m) is calculatedusing:
m = (y2 - y1)/(x2 - x1)
This gives
m =(-2 - 2)/(0 + 2)
Evaluate
m = -2
The equation is then calculated as:
y = m(x - x1) + y1
This gives
y = -2(x - 0) -2
y = -2x -2
The upper part of the graph is shaded with a dotted line, so the inequality is a greater than inequality
The equation becomes
y > -2x -2
Hence, the inequality shown in the graph is y > -2x -2
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A local maximum of the function f(x) occurs for which x-value?
Answer:
-4
Step-by-step explanation:
This is according to my sense. please consider other answers as well
What is the missing number in 73, 67, 61,____, 49, _____, 37 A.55,42 b.55,43 c. 55, 32 D. 55, 34
Answer:
b) 55 and 43
Step-by-step explanation:
I can tell by the first 3 or so numbers that the sequence is decreasing by 6 each time, so when you go from 61- blank - 49 it has to be 55 and same with the other one.
What is the value of the expression
below?
8 - 3116
A. -40
-
B. -4
C.
2
D.
20
Answer:
i do not understand how you wrote this please explain better
Step-by-step explanation:
1 20 points Which statement describes an example of causation? When the wather becomes warmer, more meat is purchased at the supermarket. More people go to the mall when students go back to school. The greater the number of new television shows, the lesser the number of moviegoers. After operating costs are paid to a toy shop, as more toys are sold, more money is made.
Answer:
after operating costs are paid to a toy shop, as more toys are sold, more money is made
Which number is rational?
Ov2
M
O 10
O 16
O √2
O π
O √10
✔ O √16
rational numbers are decimals, whole numbers, fractions.
√16 = 4 || which is whole numberπ and √a for non whole numbers fall under irrational numbersWhich object will have more inertia? Object A that has a mass of 250 grams, Object B, that has a mass of 25,000 grams, or Object C that has a mass of 1,250,000 grams.
1.object a
2.b
3.c
4.all have the same
Answer:
3. Object C.
Step-by-step explanation:
The inertia of an object is the measure of the force required to set it in motion. For two objects to have the same motion, the one with the greater mass will require a proportionately greater force to achieve the same motion.
Object C, with a mass of 1,250,000 grams (1,250 kg) will have the greatest inertia.
Paulina is driving 25 miles per hour. Which equation can be used to determine d, the distance Paulina traveled in miles after h hours?
Applying the relation between speed, distance and time, we made distance subject of formula hence the expression for distance is
d = 25*h
Speed, Distance and TimeGiven Data
Speed = 25 miles per hoursDistance = d milesTime traveled = h oursWe know that the expression showing the relationship between speed, distance and time is given as
Speed = Distance/Time
Substituting our given data we have
25 = d/h
Making distance subject of formula we have
25*h = d
d = 25*h
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• Write an expression that is equivalent to 3(7 + x).
3(7+ x) =
Step-by-step explanation:
3(7 + x) = 3×7 + 3x = 21 + 3x
remember, when you multiply two expressions, you need to multiply every term of the first expression with every term of the second expression, and then add all partial results (by considering the individual signs, of course).
Natalie is playing a game using a fair coin. Contestants win the game if the fair coin lands tails up. The theoretical proabaility that the coin will lamd tails is ? If 250 contestants play the game, about of them are expected to win
The theoretical probability of landing on tails is P = 0.5, and out of the 250 contestants, around 125 will win the game.
About how many contestants will win?
The coin has two possible outcomes, so if it is a fair coin, the probability for each of the outcomes will be 0.5 (this is the theoretical probability for a fair coin, where all the outcomes have the same probability).
Now, we know that a person wins if the coin lands tails up, and the probability of landing on tails is 0.5
Then, for a sample N, we can expect that about 0.5*N of the participants win.
In this case, the sample is 250, then we can expect that:
0.5*250 = 125
Around 125 of the contestants win the game
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What is the median of the data set represented by the dot plot?
Enter the answer in the box.
A number line with line with two dots above the number 10, one dot above the number 12, one dot above the number 13, one dot above the number 14, one dot above the number 15, one dot above the number 18, and two dots above the number 19.
Answer:
Median is 14Step-by-step explanation:
The median is the middle number (or average of middle two numbers if data set has even number of elements) of the data set.
According to the graph, the data set has 9 elements.
The 5th number in the set is the median, which is 14
14
Step-by-step explanation:Step-1: Prepare a table that represents the number of dots above a specific number:
[tex]\text{Dots above 10}: || \\ \text{Dots above 12}: | \\ \text{Dots above 13}: | \\ \text{Dots above 14}: | \\ \text{Dots above 15}: | \\ \text{Dots above 18}: | \\ \text{Dots above 19}: ||[/tex]
Step-2: Put the values in ascending or descending upon your choice:
[tex]10, 10, 12, 13, 14, 15, 18, 19, 19[/tex]
Step-3: Determine wether the total number of digits in the data is even or odd. This will help us find the median.
[tex]\text{9 digits in total}\\\\\text{The number of digits is \underline{odd}}[/tex]
Since the number of digits is odd, we will use the formula (a + 1)/2
(where a is the number of digits in the data)
Step-4: Substitute the number of digits in the formula.
⇒ (a + 1)/2th
⇒ (9 + 1)/2th
⇒ (10)/2th
⇒ 5th digit is median
Step-5: Look for the 5th digit in the data. That digit is your median.
[tex]10, 10, 12, 13, \underline{\underline{14}}, 15, 18, 19, 19[/tex]
The median of the dot plot is 14.
m/5 = 25
That is my question
Step-by-step explanation:
m / 5 = 25
m = 25 × 5
m = 125
.............
Answer:
125
Step-by-step explanation:
m/5 = 25
m = 25 x 5
m = 125
Calculate the perimeter of the figure
Answer:
76
Step-by-step explanation:
4+4+4+4+4+4+8+8+18+18 = 76
14
DEF is a dilation of ABC with center (0,0). What is the scale factor?
3
1/2
1/3
1/4
Answer:
that is a 1/3 dialation, becuase you can estimate the base of the bigger triangle to be around 12 and the base of the smaller triangle is 4, and that would be a fraction that is something like 4/12 which happens to be equal to 1/3.
People help me !!!!!!
Answer:
A
Step-by-step explanation:
Find Θ from the problem by using arcos. Find that Θ=64.158....
plug this into cos(Θ) and find that cos(Θ)= [tex]\frac{\sqrt{19} }{10}[/tex] or 0.43589. A is the only answer choice with this so it must be correct.
Help asap due in an hour
Answer:
7. x-2y=-4
-x-y=-5
x-2x=-4
2x+2y=10
Step-by-step explanation:
sorry cant do the rest im sleeping now but use symbolab just add the equations there and easy good night
A sequence of patterns is made from circular tiles and square tiles. Here are the first three patterns in the sequence: a) How many square tiles are needed to make Pattern Number 7? [2 MARKS] b) How many circular tiles are needed to make Pattern Number 20? [2 MARKS] c) When the pattern number is odd, the total number of tiles (SQUARE & CIRCULAR) needed to make the pattern: A - will always be even | B - will always be odd | C - could be even or odd | [2 MARKS] !! PLEASE ANSWER ALL OF THE QUESTIONS !!
The patterns of tiles do not follow an arithmetic sequence or geometric sequence
When the pattern number is odd, the total number of tiles (SQUARE & CIRCULAR) needed to make the pattern will always be odd
The square tiles needed to make Pattern Number 7?From the question, we have the following pattern:
Pattern 1: 1 square and 8 circlesPattern 2: 4 squares and 12 circlesPattern 3: 9 squares and 16 circlesThe number of square tiles is calculated using:
Tn= n²
So, we have:
T₇ = 7²
T₇ = 49
Hence, 49 square tiles are needed in pattern 7
The circular tiles needed to make Pattern Number 20The number of circular tiles is calculated using:
Tn= 4n + 4
So, we have:
T₂₀= 4 * 20 + 4
T₂₀= 84
Hence, 84 circular tiles are needed in pattern 20
c) The conclusion on odd pattern number
Using the computations in (a) and (b), we have:
The total number of tiles in odd pattern number is always odd
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Three moons are in the same circular orbit around a planet. The moons are each 98,000 kilometers from the surface of the planet, located at points A, B, and C. The planet is 12,000 kilometers in diameter and m∠ABC=90°. How far is point A from point C?
Answer:
The distance between points A and C is 275000 kilometers
Which of the following is ALWAYS a property of a parallelogram
A. 4 congruent sides
B. opposite sides are parallel
C. 4 angles that measure 90 degrees
D. 4 equal angles
Answer:
B. Opposite sides are parallel.
Step-by-step explanation:
This is the definition of a parallelogram.
The other 3 conditions may or may not be true.
Opposites sides are parallel is always a property of a parallelogram.
What is parallelogram?
" Parallelogram is defined as the two dimensional polygon whose opposite sides are always parallel and congruent to each other."
According to the question,
As per the properties of parallelogram we have,
Opposites sides are always parallel to each other.Opposite sides are always congruent to each other.Opposite angles are always congruent to each other.Adjacent angles are supplementary.Diagonals bisect each other.Hence, Option (B) is the correct answer.
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The red figure is a dilated image of the blue figure. Which diagram shows the correct
center of dilation?
Dilating the blue figure to create the red figure ensures that both figures have different sizes
The correct center of dilation is (d)
How to determine the center of dilation?The center of dilation influences the position of the image of the dilated figure.
For figure 1, the center of dilation would ensure that the red figure is to the left of the blue figureFor figure 2 and 3, the center of dilation would ensure that the red and the blue figure have the same vertexFor figure 4, the center of dilation would ensure that both triangles have the same centerThe 4 diagrams show that both figures have the same center
Hence, the correct center of dilation is (d)
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The ratio of green cars to yellow cars in a car park is 89 : 61.
Rewrite this as an equivalent ratio of the form n :1.
Give any decimals in your answer to 2 d.p.
BRAINLIEST TO WHOEVER GETS IT RIGHT
Which of the following accurately shows the first step when solving the following system of equations by substitution?
f(x) = -4x^2 + 3x + 1
g(x) = -6x +5
a -4x^2+ 3x + 1 = -6x +5
b 4x^2 + 3x +1 - 6x + 5 = 0
c g(x)= -6(-4x^2 + 3x + 1) + 5
df() = -4(-6x + 5)^2 +3(-6x + 5) +1
Answer:
c and d
Step-by-step explanation:
because
- In f(x),evey time you find X you write(-6x+5) instead
4x²-----------4(-6x+5)²
3x+1------------3(-6x+5) +1
-In g(x),evey time you find X you write(-4x² +3x+1) instead
Can someone solve this so that i can confirm that I’m doing it right?
Answer:
Below in bold.
Step-by-step explanation:
x /18 = 12/10
10x = 18*12
x = 216/ 10
= 21.6.
10/w = 18/24
10/w = 3/4
3w = 40
w = 40/3 = 13 33 to the neaest hundredth.