Answer:
X = 80°
Step-by-step explanation:
The total number of degrees in a triangle is 180°.
70° + 30° = 100°
180° - 100° = 80°
Prove that:
\cos( \frac{3\pi}{2} + \theta) \cos(2\pi + \theta) [ \cot( \frac{3\pi}{2} - \theta) + \cot(2\pi + \theta) ] = 1
Please solve this problem because tomorrow is my...
Explanation:
On taking LHS
Cos[(3π/2)+θ]Cos(2π+θ)[Cot{(3π/2)-θ}+Cot(2π+θ)]
We know that
π = 180°
2π = 2×180° = 360°
3π/2 = (3×180°)/2 = 540°/2 = 270°
Now
LHS becomes
Cos(270°+θ)Cos(360°+θ)[Cot(270°-θ)+Cot(360°+θ)]
We know that
Cos (270°+θ) = Sin θ
Cos (360°+θ) = Cos θ
Cot (270°-θ) = Tan θ
Cot (360°+θ) = Cot θ
→ Sin θ Cos θ [Tan θ + Cot θ]
→ Sinθ Cosθ[(Sinθ/Cosθ)+(Cosθ/Sinθ)]
→ Sinθ Cosθ[(Sin²θ+Cos²θ)/(SinθCosθ)]
→ Sin θ Cos θ [1/(Sin θ Cos θ)]
Since Sin²θ+Cos²θ = 1
→ (Sin θ Cos θ)/(Sin θ Cos θ)
→ 1
→ RHS
→ LHS = RHS
Hence, Proved.
Here are the formulae that I have used:
→ π = 180°
→ Cos (270°+θ) = Sin θ
→ Cos (360°+θ) = Cos θ
→ Cot (270°-θ) = Tan θ
→ Cot (360°+θ) = Cot θ
Here are the Trigonometric Identities that I have used:
→ Sin²θ+Cos²θ = 1
Hope this helps!!
What is the equation of a line that is paralel to — 3x + 4y = 4 and passes through the point (4, 0)?
Step-by-step explanation:
..............
=> 3x + 4y = 12
Consider the two linear expressions.
−(−12−6x−3) and 3.5−6x
Are the two linear expressions equivalent?
Drag a word or phrase to the box to correctly complete the statement.
Answer:
Your answer is not equivalent :D
Answer: Not Equivelant
Step-by-step explanation: K12 test
Given the function y= {3x+1 if x≥0,x−2 if x<0 }. Find its values for x=−1; 0; 1; 2. Answer: If x = −1, then y = . If x = 0, then y = . If x = 1, then y = . If x = 2, then y = .
Answer:
If x=-1 then y= -3
If x=0 then y=1
If x=1 then y= 4
If x=2 then y= 7
HELPPP!!!
A circular kitchen table has a diameter of 80 inches. How much fabric is needed to cover the table top? Use 3.14 for pi.
25.5
Step-by-step explanation:
The way to do this is:
80 * 3.14 equals to roughly 25.5
The mean height of an adult giraffe is 17 feet. Suppose that the distribution is normally distributed with standard deviation 0.9 feet. Let X be the height of a randomly selected adult giraffe. Round all answers to 4 decimal places where possible.
c. What is the Z-score for a giraffe that is 18.5 foot tall?
d. What is the probability that a randomly selected giraffe will be shorter than 17.5 feet tall?
e. What is the probability that a randomly selected giraffe will be between 16.7 and 17.2 feet tall?
f. The 70th percentile for the height of giraffes is ___ ft.
Answer:
Median =17
Step-by-step explanation:
Given that the mean height of an adult giraffe is 17 feet. Suppose that the distribution is normally distributed with standard deviation 0.9 feet. Let X be the height of a randomly selected adult giraffe. X is a random variable.
a) X is N(17, 0.9)
b) Median giraffe height = 17 ft since in normal distribution mean = median
c) When x = 18.5, Z = 18.5-17/0.9 = Z= 0.1667
d) P( x < 18) = P( Z < 56)
= 0. 2877
e) P(16.9 < x < 17.9) = P(-0.11 < z < 1) = .0.438 + 0.3413
= 0.3851
f) 75th percentile for z is 0.675
x = 17.9 + 0.9 (0.675)
= 18.5075
write the equation for a line that passes through the points (5,5) and (7,-5)
Answer:
y = - 5x + 30
A number written in word is in:
Exponential form
Expanded form
Standard form
Answer:
standerd form
Step-by-step explanation:
because it have to be in standerd form
Find the upper quartile for the data. {9, 6, 13, 8, 8, 10, 9.5, 8, 7.5, 8.5}
A. 9
B. 9.5
C. 10
D. 8.5
Answer:
the answer is 9.5 (B)
Step-by-step explanation:
what is the recurring decimal of 0.68
Answer:
0.68 repeating as a fraction
0.68 repeating as a fraction
Round each number to the nearest ten 24. 311. 107
Answer:
24-20 311-310 107-110
Step-by-step explanation:
Answer:
nearest tenth
......
24= 20
311=310
107=110..........
Predict the missing component of each reaction.
MgO + ? → Mg(OH)2
2MgO → ?
A. 2Mg + H2O
B. 2Mg + O2
C. MgOH + O2
D. MgO + O2
Answer:
In the first equation, it's H20 but the second is B
2Mg + 2O2
here are the answers for both questions on this slide as of edge 2021, the 2nd is the one asked here.
1. 2KClO3 → 2KCl + ?
2Na + Cl2 → ?
A.) 2NaCl
2. MgO + ? → Mg(OH)2
2MgO → ?
B.) 2Mg + O2
Here’s another one.. so sorry if this confused you..
(Also I got this question wrong..)
Answer:
hmmm did you try 14?
Find the unknown value in each proportion. Round to the nearest tenth if needed.
[tex] \frac{4}{5} [/tex]
[tex] \frac{4}{3} [/tex]
[tex] \frac{3}{7} [/tex]
[tex] \frac{13}{15} [/tex]
Answer:
4/5=16/20
4/3=4/3 or 1 1/3
3/7=0.42857
13/15=0.86666
Step-by-step explanation:
i dont know
if i did that right but your welcome
Jenna works in an ice cream shop. When she starts her shift the tub of chocolate ice cream is 2/3 full. When she finishes her shift 6 1/2 h later, there is only 1/6 of the tub left. What was the average hourly change in tub fullness?
0.10
so sorry i couldn't make it a fraction :(
It takes 5 minutes for 7 people to drink 25 pints of water.At this rate,how long would it take 15 people to drink 160 pints of water
Answer:
14.9 min
Step-by-step explanation:
r=rate
r25=5*7
r25=35
r=35/25
r=1.4
substitution
r160=t*15
t=time
r=1.4
1.4*160=t*15
224=t*15/15
224/15=t
14.9 min
What is the solution to the equation 5x-7 = V3x+5?
i’m just stuck on #6, is it d or c???
Quis
Jika
A= 2
B= 3
D=2
maka
A x B ÷C
Answer:
A= 2
B= 3
D=2
maka
A x B ÷C
2 x 3 ÷ 2
=6 ÷ 2
=3
Answer:
A= 2
B= 3
D=2
maka
A x B ÷C
2 x 3 ÷ 2
=6 ÷ 2
=3
586.875 to 2 decimal places
Hello wonderful people! I am having trouble with the one question and I was wondering if someone could help me? I promise brainiest for the correct answer. Thanks so much for your time!
Lillian's bedroom door is 9 feet tall and 3 feet wide. A new door would cost $3.00 per square foot. How much would a new bedroom door cost in total?
Answer:
$81.00
Step-by-step explanation:
First find the square feet:
9*3= 27
Then find total cost:
27*3= 81
Hope this helps! :)
Using diagonals from a common vertex, how many triangles could be formed from a hexagon?
Slope -3/4 and passes through the point (-3, -8). What is the point slope form
Point-slope form is: y - y1 = m ( x - x1 )
You plug in your slope for m and the x and y values from that point for x1 and y1.
y - (-8) = -3/4 ( x - (-3) )
Be sure to clean up the "minus a negative" to get
y + 8 = -3/4 ( x + 3 )
Three years after a tree was planted it was 9 feet tall. Seven years after it was planted it was 17 feet tall. a What is the yearly growth rate of the tree? b. Determine the height of the tree when it was planted.
Answer:
your answer i think is 2/3 sorry if i'm wrong
Step-by-step explanation:
Fill in the missing numbers to complete the division problem.Enter your answers in the boxes.6,957\div 7=6,957÷7=Remainder:
Answer:
6
Step-by-step explanation:
why because when you work this out 6,957÷7 your answer will be 993.8571...
so you take the hole number of the decimal and multiply it by 7 the answer should be subtracted from 6,957
The following table shows the cost of 444 party favor packs. For example, the Slinky costs \$9$9dollar sign, 9 for a pack of 555.
Toy pack Cost (dollars) Quantity
Slinky 999 555
Wind-up robot 161616 888
Yo-yo 151515 666
Emoji beach ball 333 222
Answer:
its the yoyo
Step-by-step explanation:
it was right on the khawn acdemy thing.
a cheetah ran 300ft in 2.92 sec what was the average speed in mph
Answer:
70.05 mph
Step-by-step explanation:
A cheetah ran 300 feet in 2.92 seconds. What is the cheetah's average speed in miles per hour
--------------------------------------
(300 ft/2.92 sec)(1 mi/ 5280 ft)(3600 sec/1 hour)
= {300*1*3600 miles)/(2.92*5280*1 hour)
= 91080000 miles/15417.6 hours
= 70.05 mph
What is the correct number form for ""seven and eighty-three thousandths?""7.8037.0837.837.830
Answer: 7.083
Step-by-step explanation:
Can not be 7.803 because the 8 is in the tens place and the 3 is separated from it. Can't be 7.83 or 7.830 either because the 83 is only in the hundredths place. They are also the same thing seeing as the 0 is not needed, so they are said the same way, which would be seven and eighty-three hundredths.
please help on number 8!! it would be much appreciated
Answer:
a.) 135 degrees
b.) 45 degrees
c.) 45 degrees
Step-by-step explanation:
Use this link to see a visual representation on how to solve for these types of angles, it lets you click on any type of angle and see how it corresponds to other angles within the parallel line and traversal, give it a try!
https://www.mathsisfun.com/geometry/alternate-exterior-angles.html