the lengths of the other two sides in the 30°-60°-90° triangle are approximately √3/2 inches and 1 inch, respectively.
In a 30°-60°-90° triangle, the ratios of the side lengths are as follows:
- The side opposite the 30° angle is half the length of the hypotenuse.
- The side opposite the 60° angle is √3 times smaller than the hypotenuse.
- The hypotenuse is twice the length of the side opposite the 30° angle.
Let's denote the length of the shortest side as "x" (which is half an inch, i.e., x = 0.5 inches).
Then:
- The side opposite the 30° angle = x = 0.5 inches
- The side opposite the 60° angle = √3 * x = √3/2 inches
- The hypotenuse = 2 * x = 2 * 0.5 inches = 1 inch
So, the lengths of the other two sides in the 30°-60°-90° triangle are approximately √3/2 inches and 1 inch, respectively.
Learn more about triangle here
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Antoin has 17.5 kilograms of clay. He divides it evenly into buckets that hold 2.5 kilograms. How many buckets of clay will he have?
Answer:
7 buckets.
Step-by-step explanation:
17.5 / 2.5 = 7
Answer:
7
Step-by-step explanation:
17.5/2.5=7
a hockey team earns 2 points for a win,1 point for a tie, and 0 points for a loss. the number of points earned can be calculated using this formula
P = 2x + y where P = number of points
x = number of wins
y = number of ties
How many points would a team earn if they played 52 games, won 24 and lost 19?
Answer: 57
Step-by-step explanation: First add the won and lost games then subtract the sum from the total games played to determine how many games were tied. Then take the won games and multiply them by 2, take the tied games, and add them together to get your answer: 57.
Is -1/2 equivalent to - 1/2
Answer:
Yes
Step-by-step explanation:
- 1 / 2 = - 1 / 2
Both are equal.
please help!! thanks!
Answer:
A.) Yes
Step-by-step explanation:
Plug in (3,2) into both equations ....
2(3) - 3(2) = 0
2(3) + 2 = 8
Then solve ....
2(3) - 3(2) = 0
6 - 6 = 0
0 = 0
2(3) + 2 = 8
6 + 2 = 8
8 = 8
Since both equation are true the solution (3,2) is true
2 2/3×2 2/5 please answer quickly
Answer: 6.4 and in fraction form 32/5
Answer:
32/5 or 6 2/5 which 6 2/5 is the simplified answer
Step-by-step explanation:
so first you want to turn your mixed numbers( 2 2/3 and 2 2/5) into fractions
so you turn 2 2/3 into a fraction by multiply 2 times 3 + 2 and you keep the denominator so it would be 8/3
Then you would do the same for the other one 2 times 5 +2 and that would be 12/5
The multiply 8/3 times 12/5 but cross simplify 3 and 12 make 12 four and make 3 one
so then your problem should look like this 8/1 times 4/5 and the answer is 32/5 or if you simplify it would be 6 2/5
'Hope this helped
Evaluate each function for the given value of x, and write the input x and
output f(x) as an ordered pair.
18,20,22,24
Answer:
18) 3
20) -65
22) 12/5
24) -5/2
Step-by-step explanation:
18) f(-5) = -[2(-5)+1] / 3
= -(-10+1)/3
= -(-9)/3
= 3
20) f(7) = -9(7)-2
= -63-2
= -65
22) f(-1) = -[(12 · -1)]÷5
= -(-12)÷5
= 12/5 or 2 2/5
24) f(9) = 2/9(9) - 9/2
= 2 - 9/2
= 4/2 - 9/2
= -5/2 or -2 1/2
Which expression has an equivalent value to x2 + 9x + 8 for all values of x?
(x + 1)(x + 8)
(x + 2)(x + 6)
(x + 4)(x + 4)
(x + 5)(x + 4)
Help meeeeeeeeeeee PLS ASAP
Answer:
A
Step-by-step explanation:
Answer:
angle 1 and angle 5
Step-by-step explanation:
What is -2(3x+12y-5-17x-16y+4) simplified?
A) -40x+8y+2
B) 28x+8y+2
C) 28x+6y+2
D) -28x-8y+2
Answer: B
Step-by-step explanation:
Multiply everything in the bracket by -2 and combine like terms
Answer:
It's B
Step-by-step explanation:
Which set of ordered pairs does not represent a function?
a
O{(-6, -9), (-2, -3), (–9,2), (2, -3)}
O {(-2,0), (-5,8), (7,9), (6,8)}
O {(6,9), (-7,8), (1, –4), (8,8)}
O{(-2, -6), (-1,2), (-2, – 7), (6,6)}
Submit Answer
Answer:
Option 4: {(-2, -6), (-1,2), (-2, – 7), (6,6)}
Step-by-step explanation:
Definitions:A function is a relation for which no two ordered pairs have the same first component (or x-values) and different second component (y-values). The set of first components is the input, also referred as the domain. The set of second components is the output, also referred as the range.In order to determine whether a given relation is a function, one must always take notice of the x-values ⇒ make sure that an x-value does not have more than one corresponding y-value.
Solution:Option 1: {(-6, -9), (-2, -3), (–9,2), (2, -3)} ⇒ This relation is a function. Each input has one corresponding output.
Option 2: {(-2,0), (-5,8), (7,9), (6,8)} ⇒ This relation is also a function. Each input has one corresponding output.
Option 3: {(6,9), (-7,8), (1, –4), (8,8)} ⇒ This relation is also a function. Each input has one corresponding output.
Option 4: {(-2, -6), (-1,2), (-2, – 7), (6,6)} ⇒ This relation is not a function. The x-value, x = -2, has two corresponding y-values: y = -6, and y = -7.
Therefore, the correct answer is Option 4: {(-2, -6), (-1,2), (-2, – 7), (6,6)}.
Answer:
the last one {(-2, -6), (-1,2), (-2, – 7), (6,6)}
Step-by-step explanation:
it has 2 of the same x values with 2 different y coordinates, in other words it fails the vertical line test.
A shark is 205 feet below sea level, it rises 80 feet towards sea level, then 25 points
drops 40 feet. What is the current elevation?
Captionless Image
Answer:
165 feet below sea level.
Step-by-step explanation:
205 - 80 = 125
125 + 40 = 165
Please help! Will mark brainliest.
Convert into an exponential expression.
Answer:
Step-by-step explanation:
5√7²=5√49=9.8
Hey if someone can help me I'd appreciate it please show your work.
Answer:
Step-by-step explanation:
Umm what is your question u did not add it?
8
After a reflection over the line y=-2, which direction will the arrow be facing?
Down
Right
Up
Left
b. Write an equation of the line perpendicular to
x + 2y = 6 through (8,3).
Answer:
y = 2x + 13 or -2x + y = 13
Step-by-step explanation:
1) I would convert x + 2y = 6 to y-intercept/slope-intercept form...
2y = -x + 6 - > y = -1/2x + 3
2) The slope of the line is -1/2. Perpendicular lines have a negative reciprocal slope to the other line, so the slope is 2. Therefore your equation so far is...
y = 2x + b
3) The point that is given is (8, 3). This means that x = 8 and y = 3. Substitute that into the equation and solve for b (the y-intercept)
3 = 2(8) + b
3 = 16 + b
-13 = b
b = 13
4) Now, we know that b = 13 and the slope is 2. Therefore...
y = 2x + 13
Also note, if you want this equation in standard form, it would be...
-2x + y = 13
PLEASE HELP
What is required in order to win a game of pickleball?
Group of answer choices
The winning team must serve.
The winning team must smash the ball.
The winning team must return service.
Answer:
I think A
Step-by-step explanation:
Unlike tennis or badminton, only the serving team can win a point.
Answer:
I believe its c but I barely know how to play that
Could someone explain how to convert from slope intercept form: y=mx+b to standard form: ax+by=c because I don’t understand
Don’t copy from the internet pls
Answer:
basically you move the y and x to one side and the constant to the other
for example if we had 2y=-5x+6, you'd move the 5x other to the other side by adding 5x and you'd get 5x+2y=6
Find the equation of a line that passes through the point (3,4) and has a gradient of 4.
Leave your answer in the form
y=mx+c
Answer:
The equation of a line in the slope-intercept form is:
y = 5x - 18
The slope-intercept form of the line equation
where
m is the slope
b is the y-intercept
In our case, we are given
m = 5
Point (4, 2)
now substituting m = 5 and (4, 2) in the slope-intercept form of the line equation to determine the y-intercept
y = mx + b
2 = 5(4) + b
20 + b = 2
subtract 20 from both side
20 + b - 20 = 2 - 20
b = -18
now substituting b = -18 and m = 5 in the slope-intercept form of the line equation
y = mx + b
y = 5x + (-18)
y = 5x - 18
Therefore, the equation of a line in the slope-intercept form is:
y = 5x - 18
Pls mark me as brainliest thank you
Answer:
Step-by-step explanation:
m = 4
y = mx +c
y= 4x + c
Plugin x = 3 and y= 4 in the above equation
4 = 4*3 + c
4 = 12 +c
4 - 12 = c
c = -8
Equation of the line :
y = 4x - 8
helppp plz is fue today
Answer:
Step-by-step explanation:
A CHOOSE A
Answer:
A
Step-by-step explanation:
sorry:c
how do I solve this linear inequality?
5x - 7 > 4x + 8
Step-by-step explanation:
just like an equation.
5x - 7 > 4x + 8 | -4x + 7
x > 15
and that is your result.
in contrast to an equation, an inequality delivers a range as result and not a single point.
Answer:
[tex]\huge\boxed{\sf x > 15}[/tex]
Step-by-step explanation:
5x - 7 > 4x + 8
Subtract 4x to both sides, and Add 7 to both sides
5x - 4x > 8 + 7
x > 15
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH18074x – 5y = 15
m=
b=
(I need to graph the linner equation)
Answer:
yea I agree that this is correct and it's 15 and it's 4x
Solve the equation for x.
x-8 = 2
Answer:
x=10
Step-by-step explanation:
Somebody plz help ????? I need the answer to this
Answer:
I was thinking it should be -1,2 but that'd not an awnser so B
How many times farther is Jupiter from the Sun than Venus? How many times farther is Saturn from the Sun than Mars? Round your answers to the nearest tenth.
The Jupiter is 6.93 times farther from the Sun than Venus
The Saturn is 6.29 times farther from the Sun than Mars
Distance between the sun and Jupiter = 748.02 million km
Distance between the sun and venus = 108.01 million km
Ratio of the distance between the sun and Jupiter to the distance between the sun and Venus = 748.02/108.01
Ratio of the distance between the sun and Jupiter to the distance between the sun and Venus = 6.93
Therefore, the Jupiter is 6.93 times farther from the Sun than Venus
Distance between the Sun and Saturn = 1.4823 billion km = 1482.3 million km
Distance between the Sun and Mars = 235.66 million km
Ratio of the distance between the Sun and Saturn to the distance between the Sun and Mars = 1482.3/235.66
Ratio of the distance between the Sun and Saturn to the distance between the Sun and Mars = 6.29
Therefore, the Saturn is 6.29 times farther from the Sun than Mars
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Tahap risiko unit amanah?
Step-by-step explanation:
Tahap risiko unit amanah?
d
=
√
(
x
2
−
x
1
)
2
+
(
y
2
−
y
1
)
2
Evaluate
d
if
(
x
1
,
y
1
)
=
(
2
,
−
4
)
and
(
x
2
,
y
2
)
=
(
4
,
3
)
.
Leave your answer in surd form.
[tex](x_1, y_1) = (2,-4) ,~~~(x_2 , y_2) = (4,3)\\\\d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\\\\=\sqrt{(4 - 2)^2 + (3+4)^2}}\\\\=\sqrt{2^2 + 7^2} = \sqrt{4+49} = \sqrt{53}[/tex]
what is the inequality for the graph
Y >= 2X - 5
Step-by-step explanation:
yeah-ya..... right?
easy one for you folks.
Answer:
2/5
Step-by-step explanation:
Six out of 15 are full.
[tex]\dfrac{6}{15}=\dfrac{2*3}{5*3}=\dfrac{2}{5}[/tex]
PLZ help I need to answer quickly!
Answer:
4.2
Step-by-step explanation:
All sides are proportional, so choose a pair and find the proportion
Ex: AB and JK = 7/5=1.4
so each side is multiplied by 1.4 to get the larger figure
So 3*1.4=4.2
How do you write 7460 in standard form?
Answer:
7460
Step-by-step explanation:
To write a linear expression in standard form, rearrange the terms in alphabetical order.
7460
Answer:
a = 7.46
7.46 x 103
103 = 1,000 x 7.46 = 7,460
here your answer
hope it helps you