Answer:
The length of side x in a 30-60-90 triangle is 2√3.
Step-by-step explanation:
The numbers 30-60-90 are angles, so we need to find the side x of a right triangle with the following information:
θ: is one angle of the right triangle = 30°
α: is the other angle of the right triangle = 60°
a: is one side of the right triangle = √3
b: is the other side of the right triangle =?
x: is the hypotenuse of the right triangle =?
The length of the hypotenuse can be found by Pitagoras:
[tex] x^{2} = a^{2} + b^{2} [/tex] (1)
So, we need to find the side "b". We can calculate it with the given angles.
From the side "a" we have:
[tex] cos(\alpha) = \frac{a}{x} [/tex]
[tex] cos(60) = \frac{\sqrt{3}}{x} [/tex] (2)
From the side "b":
[tex] sin(\alpha) = \frac{b}{x} [/tex]
[tex] sin(60) = \frac{b}{x} [/tex] (3)
Now, we can calculate "b" by dividing equation (3) by equation (2).
[tex] tan(60) = \frac{\frac{b}{x}}{\frac{\sqrt{3}}{x}} [/tex]
[tex] b = tan(60)*\sqrt{3} = 3 [/tex]
Finally, we can find the length of the hypotenuse with equation (1):
[tex] x = \sqrt{a^{2} + b^{2}} = \sqrt{(\sqrt{3})^{2} + (3)^{2}} = 2\sqrt{3} [/tex]
Therefore, the length of side x in a 30-60-90 triangle is 2√3.
I hope it helps you!
Audrey left her house at time zero and drove for 2 minutes to the store, at a speed of 2
blocks per minute. Then she stopped and went into the store for 7 minutes. From
there, she drove in the same direction at a speed of 1 blocks per minute until she got
to the bank, which is 2 blocks away from the store. She stopped at the bank for 3
minutes. Then she drove home at a speed of 3 blocks every minute. Make a graph of
showing the number of blocks away from home that Audrey is x minutes after she
leaves her house, until she gets back home.
Answer:
b
Step-by-step explanation:
hope it helps
HELP BRAINISET TO WHOEVER RIGHT
Answer:
A: 171.75
B: 170
Step-by-step explanation:
The mean (or average) can be found by...
- add all the numbers together (we will call this y)
- divide the total sum (or y) by the total amount of numbers used to add
Formula:
(x₁ + x₂ + x₃ + ... + xₙ) ÷ n
For A:
(172 + 130 + 173 + 212) ÷ 4 = 171.75
For B:
(136 + 184 + 168 + 192) ÷ 4 = 170
Starting at the 6th floor, an elevator went down 1 floor, up 6 floors, and then down 4 floors. Find the number of the floor on which the elevator finally stopped.
Answer:
The answer is that the elevator stopped at the 7th floor
Step-by-step explanation:
i need the answer pleaseee i cant figure out how to do this
The value of a piece of land in a town is
increasing every year. Its value, in dollars, t
years after 1970 and until 2001 can be modeled
by the function 31,000(1.001). What is the
domain of the function?
OA. All whole numbers greater than or equal to
1971 and less than or equal to 2001.
OB. All real numbers greater than or equal to
1971 and less than or equal to 2001.
c. All non-negative real numbers less than or
equal to 31.
OD. All whole numbers less than or equal to 31
Answer:
B. All real numbers greater than or equal to 1971 and less than or equal to 2001.
Step-by-step explanation:
Correct me if I'm wrong
HELP MEEEEEEEEEE SOOOOOO EASY PLEASE AND BRANLIEST TOOOOOO (07.04 LC)What is the solution to the equation fraction 1 over 3x = 6?
x = 18
x = 2
x = fraction 1 over 2
x = fraction 1 over 18
Answer:
x = 2
divide each term by 3 and simplify.
Answer:
I did the quiz and it is B
Step-by-step explanation:
- You pick a card at random. 1 2 3 4 5 6 7 8 D) What is P(even)? )) Write your answer as a fraction or whole number
Answer:
4/8 or reduced 1/2
Step-by-step explanation:
It's 4/8 or reduced as 1/2 because there are 4 even numbers 2, 4, 6, 8
The volume of a certain cube can be found using the expression 53.
What is 53 written as a product of the same factor?
???? pls help my math test
Answer:
5×5×5
Step-by-step explanation:
hey it's your answer
have a great day dear
Answer:
5³ = 5*5*5Step-by-step explanation:
Volume of a cube:
V = a³, a- side of the cubeIf you have an expression 5³, it means 5 is multiplied by itself 3 times:
5³ = 5*5*5 = 125help needed! please and thank uuu! no links please!
Answer:
(2x×3x)+(3x×-3)
Area=L×W
Blue rectangle = 2x×3x
Pink rectangle = 3x×-3
(2x×3x)+(3x×-3)
find the standard deviation of: 141, 116, 117, 135, 126, 121
Answer:
Please see photos for simplified result
Step-by-step explanation:
Please help solve correctly. NO links or files. Correct answers only if not report. I will even give an additional 10 if correct.
Answer:
144.51326 [tex]cm^{2}[/tex]
Step-by-step explanation:
A = 2πrh + 2π[tex]r^{2}[/tex]
d = 4
r = 4/2 = 2 cm
h = 9.5cm
A = 2π(2)(9.5) + 2π[tex](2)^{2}[/tex] = 144.51326 [tex]cm^{2}[/tex]
Don't know if you need to round it or not
which equation represents the relationship in the table?
Answer:
Y=2X
Step-by-step explanation:
when x=2 & y=4
y= 2(2)
y= 4
when x= -1 & y=4
y= 2(-1)
y= -2
and it goes on
Help ASAP before 2:10
Answer:3 choice
Step-by-step explanation:
When you have this || you put the opposite mark
Answer:
D
Step-by-step explanation:
-6
-2
|-4|
|-5|
6
The || means "absolute value". Thats the distance from 0 on a number line.
What is the equation of the line that passes through the point (1,5) and it parallel to the line 2x + y = 10?
Answer:
To find the x-intercept, substitute in
0
for
y
and solve for
x
. To find the y-intercept, substitute in
0
for
x
and solve for
y
.
x-intercept(s):
(
5
,
0
)
y-intercept(s):
(
0
,
10
)
Step-by-step explanation:
hope it helps make brainlliest ty
Last night, Jasmine and her family went out for dinner. The questions below came up on their way to the restaurant or during the meal. Decide whether or not each question is a statistical question. Select all that apply.
●How far are we from the restaurant?
●How long will it be until we get there? ●Would you rather have burgers or pizza?
●How much should we leave for the tip? ●What was the most frequently ordered dish in the restaurant this evening?
●Did you like the pizza tonight?
●Which table's bill was the highest?
●How many people were sitting at each table this evening?
A statistical question is a question where the data collected can vary.
Ex. Statistical - "How old are the students in my class?" The data can vary based on which student you ask.
The following questions are statistical:
●Would you rather have burgers or pizza?
●How much should we leave for the tip?
●Did you like the pizza tonight?
●How many people were sitting at each table this evening?
These questions can vary based on who you ask or where you look
I hope this was helpful! =)
If a cylindrical vessel is 15 cm long and its surface area is 650 cm?, set up an
equation to find its radius.
Answer:
2π r(15 + r ) = 650
Step-by-step explanation:
The formula for TSA of cylinder is 2πr (r +h)
so
The correct equation is
2π r(15 + r ) = 650
hope it helps :)
Write an equation in standard form for a line that is perpendicular to the line with an equation of y = 3x —5 that passes through the point (8, 5).
Answer:
x + 3y = 23
Step-by-step explanation:
m = -1/3, find 'b'
5 = -1/3(8) + b
15/3 = -8/3 + b
23/3 = b
y = -1/3x + 23/3
multiply each side by 3 to get:
3y = -x + 23
x + 3y = 23
brilliance for the right answer
What does 1 cc mean?
1 cubic inch
1 cubic centimeter
1 cubic feet
1 cubic liter
1 cc (cubic centimeter) refers to a unit of volume in the metric system. It is equal to one cubic centimeter, which is equivalent to one milliliter (ml).
The abbreviation "cc" is commonly used in medical and scientific contexts to represent small volumes, especially when measuring liquids or medications.
A cubic centimeter (cc) is a unit of volume that is commonly used in the metric system. It is equivalent to a cube with edges measuring one centimeter each. The cubic centimeter is often used to measure the volume of small objects or quantities of liquids.
To better understand the size of a cubic centimeter, it can be visualized as the volume occupied by a sugar cube or a small dice. It is a relatively small unit of volume, and larger volumes are typically expressed in terms of liters or cubic meters.
To know more about cubic centimeter here
https://brainly.com/question/5283705
#SPJ2
Which statement about cones is true? If a cone is intersected by a plane parallel to the base, then the cross section is a triangle. If a cone is intersected by a plane parallel to the base, then the cross section is a triangle. If a cone is intersected by a plane parallel to the base, then the cross section is a square. If a cone is intersected by a plane parallel to the base, then the cross section is a square. If a cone is intersected by a plane parallel to the base, then the cross section is a rectangle. If a cone is intersected by a plane parallel to the base, then the cross section is a rectangle. If a cone is intersected by a plane parallel to the base, then the cross section is a circle.
Answer: If a cone is intersected by a plane parallel to the base, then the cross section is a circle.
Step-by-step explanation:Cones are circular
If mAD
-
(17x + 2); mAC = (7x – 10), and m_ABC = (4x + 15), find m_ABC.
A
B
G
C С
D
Answer:
36
Step-by-step explanation:
you add the first two the order of operations then you do big and little
Applying the angle of intersecting tangents theorem, m∠ABC = 99°
What is the Angle of Intersecting Tangents Theorem?If two tangents intersect and form an angle outside a circle, based on the angle of intersecting tangents theorem, the angle formed equals half the positive difference of the intercepted arcs.
Given the following:
m(AD) = (17x + 2)m(AC) = (7x – 10)m∠ABC = (4x + 15),Apply the angle of intersecting tangents theorem:
m∠ABC = 1/2[m(AD) - m(AC)]
Substitute
4x + 15 = 1/2[(17x + 2) - (7x - 10)]
2(4x + 15) = 17x + 2 - 7x + 10
8x + 30 = 10x - 12
8x - 10x = -30 - 12
-2x = -42
x = -42/-2
x = 21
m∠ABC = (4x + 15)
Plug in the value of x
m∠ABC = 4(21) + 15 = 99°
Learn more about the angle of intersecting tangents theorem on:
https://brainly.com/question/9143293
Please help 8th grade algebra here's the problem #16 GEOMETRY The volume of a rectangular prism is 3x3 + 34x2 + 72x – 64. If the
height is x + 4, what is the area of the base of the prism?
I’m really bad at areas and I need this by tonight
Answer:
here is a link
Step-by-step explanation:
https://socratic.org/questions/the-volume-of-a-rectangular-prism-is-3x-3-34x-2-72x-64-if-the-height-is-x-4-what#374628
Someone please help quickly! <3
Answer:
answer is C just look at the line and see where they intersect...
Step-by-step explanation:
hope this helps^_^ plz give brainliest and rating
3x + 2y = 1 4x + 3y = -2 Elimination
Answer:
x=7 y=-10 this is ur answer
A guitarist sets a goal to practice 200 minutes each week. If he only is going to practice 5 days during the week, which of the following amounts of average daily practice will allow him to reach his goal? Check all that is true.
15minutes, 25minutes, 30minutes, 45minutes, 60minutes
Answer:
45 minutes
Step-by-step explanation:
this is an over-estimate and the reason is 200/5=40 the closest one is actually 45 minutes
1/3 divided by 6 with explanation!
Answer:
Step-by-step explanation:
In mathematics, every integer is a rational number, hence a whole number 6 can be written as 6/1. 1/3 ÷ 6 = 1/18 in fraction form. 1/3 ÷ 6 = 0.0556 in decimal form.
Answer:
1/18 or 18 is your answer.
Step-by-step explanation:
Since 1/3 is already in fraction form, we will now turn 6 into fraction form. Which is 1/6. Now we will put it into the equation 1/3 x 1/6 = 1/18. The fraction 1/18 can also be 18. Therefore, 18 or 1/18 is our answer.
HELP ME PLEASE ANSWER THE QUESTION CORRECTLY
Answer:
$4,499.46
Step-by-step explanation:
after year 1 $4160, after Year 2 $4326.40, after 3 years $4499.46
The difference of two numbers is 3. Their sum is 13. Find the numbers.
Answer:
5and 8 is the correct answer
hope it helps you have a good day
A wind turbine has three equally spaced blades that are each 131 feet long. What is the measure of the arc between any two blades?
Answer:
274.23 feet
Step-by-step explanation:
From the question,
The measure of the arc between any two blades (s) = 2πrΦ/360
s = 2πrΦ/360................... Equation 1
Where Ф = angle formed betwen two blades, r = length of each blade.
Given: Ф = 360/3 (the three blades are equally spaced) = 120°, r = 131 feet.
Constant: π = 3.14
Substitute these values into equation 1
s = (2×3.14×131×120)/360
s = 274.23 feet.
Hence, the measure of the arc between any two blades is given = 274.23 feet
PLESE HELP ME! WILL GIVE BRAINLIEST!
Find the area of the shaded regions.
Answer:
[tex]A=41.86 cm^{2}[/tex]
Step-by-step explanation:
The area of the shaded regions= [tex]\frac{0}{360}* \pi [(4)^{2}-(3)^{2}][/tex]
[tex]=\frac{120}{360} *3.14*(10)(4)\\[/tex]
[tex]=\frac{3.14*10*4}{3}[/tex]
[tex]A=41.86 cm^{2}[/tex]
--------------------
hope it helps...
have a great day!!
helpppppppppppppppppppppppp
Answer:
A
[tex]hope \:this \: helps[/tex]
