Answers
Answer:
D
Step-by-step explanation:
Using the tangent ratio in the right triangle and the exact value
tan60° = [tex]\sqrt{3}[/tex] , then
tan60° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{x}{6}[/tex] = [tex]\sqrt{3}[/tex] ( multiply both sides by 6 )
x = 6[tex]\sqrt{3}[/tex] → D
Related Questions
In circle S with \text{m} \angle RUT= 30m∠RUT=30, find the \text{m} \angle RSTm∠RST.
Answers
Answer:
m∠RST= m RT= 60°
⭒⭒⭒⭒⭒⭒⭒⭒⭒⭒⭒⭒
m RT=2 m∠ROT= 2 (30)=60°✎--------------
hope it helps...
have a great day!!
hey! i’ll give brainliest help thanks
Answers
Answer:
A government by the people
Step-by-step explanation:
In the diagram, three currents x, y and z are flowing in a circuit. The current y is 1 amp less than twice the current x. The current z is 2 ampere more than the current y. The total current x, y and z is 15 amperes. How many amperes is current x?
Answers
Answer:
3 A
Step-by-step explanation:
Current X = x
current Y = 2x -1
current Z = y + 2 = 2x - 1 + 2 = 2x + 1
Here, x + y + z = 15
x + 2 x - 1 + 2 x + 1 = 15
5 x = 15
x = 3 A
So, the current in x is 3 A.
suppose △BUG is an isosceles triangle. Find the measure of <B.
Answers
Answer:
B=44°
Step-by-step explanation:
x+10+3x+x=180
5x= 180-10
x=34
B= 34+10
B=44°
Question 6 The mineral content of a particular brand of supplement pills is normally distributed with mean 490 mg and variance of 400. What is the probability that a randomly selected pill contains at least 500 mg of minerals
Answers
Answer:
0.3085 = 30.85% probability that a randomly selected pill contains at least 500 mg of minerals
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean 490 mg and variance of 400.
This means that [tex]\mu = 490, \sigma = \sqrt{400} = 20[/tex]
What is the probability that a randomly selected pill contains at least 500 mg of minerals?
This is 1 subtracted by the p-value of Z when X = 500. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{500 - 490}{20}[/tex]
[tex]Z = 0.5[/tex]
[tex]Z = 0.5[/tex] has a p-value of 0.6915.
1 - 0.6915 = 0.3085
0.3085 = 30.85% probability that a randomly selected pill contains at least 500 mg of minerals
The probability is 0.3085.
Let X=the amount of minerals.
We have to find P(X≥500).
Mean = 490.
Standard deviation = [tex]\sqrt{400}=20[/tex].
z score of 500 is = [tex]\frac{500-490}{20 } =0.5[/tex].
So, P(X≥500) = P(z≥0.5) = 1 - P(z<0.5) = 1-0.6915=0.3085.
Learn more: https://brainly.com/question/14109853
Does the table show growth or decay?
Answers
Answer:
growth because the numbers are clearly getting higher.
GROWTH
because each x theres more and more y
5/(x+2) + 2/(x+7) please solve for me
Answers
Step-by-step explanation:
this is the answer i guess
A vendor supplies 32 litres of milk to a hotel in the morning and 68 litres of milk in the evening. If the milk costs Rs 15 per litre, a. Write a numerical expression for the given statement. B. Which property of whole numbers would you use to form a numerical expression for the given statement? C. How much money he gets per day for the supply?
Answers
Answer:
a) (15 × 32) + (15 × 68)
b) Distributive property
c) $1500
Step-by-step explanation:
A vendor supplies 32 litres of milk to a hotel in the morning and 68 litres of milk in the evening. If the milk costs Rs 15 per litre,
a. Write a numerical expression for the given statement.
The numerical expression for the given statement is written as:
$15 × 32 liters + $15 × 68 liters
15 × 32 + 15 × 68
B. Which property of whole numbers would you use to form a numerical expression for the given statement?
The property that I would use to form a numerical expression is a distributive property
a × (b + c) = (ab + ac)
Where a = $15
b = 32 liters
c = 68 liters
Hence:
15 (32 + 68) = (15 × 32) + (15 × 68)
C. How much money he gets per day for the supply?
The amount he gets per day:
15 (32 + 68) = (15 × 32) + (15 × 68)
= $1500
Find the volume of the triangular prism.
Answers
Answer:
theres no picture
Step-by-step explanation:
The figure below is a square inside a rectangle
Answers
Answer:
ummmm their isn't no picture showing
have a good day :)
Step-by-step explanation:
A cylinder has a diameter of 10cm. The height of the cylinder is 2 5 the length of the diameter. Calculate the volume of the cylinder in terms of π.
Answers
Answer:
625 π cm^3
Step-by-step explanation:
volume of a cylinder = πr^2h
π = 22/7
r = radius = 10/2 = 5cm
the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.
A radius is half of the diameter
π x (5^2) x 25 = 625 π
please help its easy im just not smart enough to do it lma0
Answers
Answer:
20 feet
Step-by-step explanation:
66/3.3
it's twenty i dont know what else to say
Answer:
20m
Step-by-step explanation:
1m = 3.3ft
66 feet = 20m
Helpppp please!!!!!!
Answers
Without using a calculator, evaluate 3675° - 3680 x 3670 by using special algebraic
identities.
Answers
Answer:
13,505,599 good luck
Answer:
3675
3680-
0015
3670
15
18350
3670+
1202
At the beginning of the week, a puppy weighed 514 pounds. During the week, the puppy gains 8 ounces.
How much does the puppy weigh, in pounds, at the end of the week?
Enter your answer as a mixed number in simplest form by filling in the boxes
Answers
♣ explanation ♣
---------------------------------------------------------------------------------------------------------------
Add 8 ounces onto 5 to get 13, and then, add the unit fraction 1/4 onto it and you get 13 1/4 as your non-simplified mixed number answer.
---------------------------------------------------------------------------------------------------------------
But wait! The answer must be simplified into the mixed number, "5 3/4" by dividing the current answer by 8 1/2, or any other number that involves similarities to the fractions' characteristics.
simplify 5^-2
please help me! i don't know how to do it and its due today
Answers
0.04
jndjnwjnc jwnfjnjwfjn jn jnwjnj njnfjbfwhijfkwb jnj nwjnjfjwkf n
Which line has a slope of -2 and y-intercept of 3
Answers
Answer:
A
Step-by-step explanation:
The line has to go down when x move to the right due to the negative slope. So B and C cannot be right.
The line has to pass through (0,3), that's the y-intercept, so A and D can still both be right.
For every step to the right, the line has to move 2 down (slope -2). Only A does that. D moves 0.5 down for every step to the right.
PLEASE!!! I JUST REALLY NEED HELP RIGHT NOW! T∆T
Using the 45o -45o -90o triangle theorem, solve this triangle.
Answers
Answer:
[tex] k = 24 \sqrt{2} [/tex]
Step-by-step explanation:
Given is a 45° - 45° - 90° triangle.
According to the 45° - 45° - 90° triangle theorem, measure of the side opposite to 45° angle is equal to [tex] \frac{1}{\sqrt 2} [/tex] times of the hypotenuse.
[tex]\therefore 24 = \frac{1}{ \sqrt{2} } k \\ \\ \therefore \: 24 \sqrt{2} = k \\ \\ \therefore \:k = 24 \sqrt{2} [/tex]
Answer:
Step-by-step explanation:
take 45 degree as reference angle
using cos rule
cos 45=adjacent/hypotenuse
1/[tex]\sqrt{2}[/tex]=24/k(do cross multiplication)
24*[tex]\sqrt{2}[/tex] =k*1
24[tex]\sqrt{2}[/tex] =k
Solve the rational equation:
9/x + 1/4 =2/x
Answers
Answer:
D, x=-28
Step-by-step explanation:
Answer:
[tex]x=-28[/tex]
Step-by-step explanation:
[tex]\frac{9}{x} +\frac{1}{4} =\frac{2}{x}\\[/tex]
Move [tex]\frac{9}{x}[/tex] over the equal sign
[tex]\frac{1}{4} =\frac{2}{x} -\frac{9}{x}[/tex]
[tex]\frac{1}{4} =\frac{-7}{x}[/tex]
Cross multiply
[tex]4*-7/x[/tex]
[tex]\frac{-28}{x}[/tex]
[tex]x=-28[/tex]
Hope this is helpful
Select the equivalent expression.
Umm so yeah... happy pride month royals!
Answers
Answer:
Step-by-step explanation:
The first answer is correct because you are really not changing anything about the question
A ship is sighted from the top of a lighthouse. The angle of depression from the lighthouse to the ship is 45degrees. The distance from the top of the lighthouse directly to the ship is 4miles.Calculate the horizontal distance of the ship from the bottom of the lighthouse
Answers
Answer:
[tex]2\sqrt{2} \text{ mi}[/tex]
Step-by-step explanation:
See the attached image for a picture of the situation. The angle of depression lets you find the angle next to it but inside the triangle. It, too, must measure 45 degrees.
That means the triangle is an isosceles triangle (two legs of equal length).
Apply the Pythagorean Theorem.
[tex]x^2+x^2=4^2\\2x^2=16\\x^2=18\\x=\sqrt{8}=2\sqrt{2}\approx 2.83\text{ mi}[/tex]
62n−1=36 help quick thank you soosoo much!!
Answers
Answer:
n = 37/62
Step-by-step explanation:
62n - 1 = 36
(Add 1 on both sides)
62n - 1 + 1 = 36 + 1
62n = 37
(Divide 62 on both sides)
62/62n = 37/62
n = 37/62
Answer:
n equals 0.596!
Step-by-step explanation:
62n − 1 = 36
62n = 36 + 1
62n = 37
n = [tex]\frac{37}{62}[/tex]
n = 0.596 (the number is huge but it can be written in short like this)
if you multiply a certain number by 4 and then by 25 what is the number? (i know the answer but how do i write it in an algebraic equation?)
Answers
Answer:
the algebraic equation would be
4n x 25
What geometric figure is the union of two non-collinear rays AB and AC?
ZBAC
ΔΑΒC.
BC
AB
Answers
Stewart has 18 birds remaining in avery. However he did have 29 until Tim left the door open. There are 8 blue birds and 4 Galahs. What percentage flew away?
Answers
Answer:
37.9%
Step-by-step explanation:
percentage that flew away = number that flew away /total number of birds x 100
number that flew away = 29 - 18 = 11
9/29 x 100 = 37.9%
The radius of a circle is 2 meters. What is the circle's circumference?
r=2 m
Use 3.14 for pi.
Pls helpp
Answers
Answer:
12.56
Step-by-step explanation:
C=2πR
Circumference equals two times Pi times radius
In the diagram of
△△NRQ below, SP∥∥RQ, NS=10, SR=50, and PQ=40. What is the length of NQ?
Answers
Answer:
Step-by-step explanation:
Please help
LOLZ PLEADE BE WUICCKK
Answers
Answer:
answer is 30π cm
Step-by-step explanation:
use formula=2πr
=2*π*r
=2*π*15
=30π
Answer:
30[tex]\pi[/tex]
Step-by-step explanation:
So there is one thing we need to remember to solve thi:
circumfernce = 2[tex]\pi[/tex]r.
We know r(radius) is 15.
Lets plug that in:
2[tex]\pi[/tex]15
Multiply the 2 and 15 together:
30[tex]\pi[/tex]
So, depending on your math teacher, or math question, you might be required to write this in a different form.
So in your case, it seems the answers are written in terms of [tex]\pi[/tex], however sometimes you need to multiply your number by
30[tex]\pi[/tex]
Or
94.248
Looking at your answers, it seems 30[tex]\pi[/tex] is the third answer down.
Hope this helps! :D
Determine the volume of a cube with a side length of 3 2/3 cm.
Answers
Answer:
The volume would be 27
Hope this helps!
Brainliest??
Write an equation in slope intercept form of the line with the given characteristics. = through: (-3,1), slope · 2
Answers
Answer:
y=2x+7
Step-by-step explanation:
Hi there!
Slope-intercept form is given as y=mx+b, where m is the slope and b is the y intercept
we are given the slope (2), and a point (-3,1)
we can subsitute 2 as m into the equation
y=2x+b
we need to find b
Since the equation will pass through the point (-3,1), you can use it to solve for b.
substitute -3 as x and 1 as y
1=2(-3)+b
multiply
1=-6+b
7=b
therefore the equation of the line is y=2x+7
Hope this helps!