what basic trigonometry identity would you use to identify that sin x cos x tan x = 1 - cos^2x
Answer:
tanx = sinx/cosx
Step-by-step explanation:
Given the expression
sin x cos x tan x = 1 - cos^2x
According to trigonometry identity
tan x = sinx/cosx
Substitute into the expression. From LHS
sin x cos x tan x
= sin x cos x (sinx/cosx)
= sin²x
Also since sin²x+cos²x = 1
Hence sin²x = 1 - cos²x (RHS)
The correct option is therefore tanx = sinx/cosx
a rectangular prism has a base 3 cm by 4 cm and is 5 cm in height
There are 1030 books in the library we bought 67 more books for the library how many books are there in the library now?
Answer:
1097
Step-by-step explanation:
1,030+ 67= 1097
Answer:
1097 Books
Step-by-step explanation:
1030+67=1097
34
Select the correct answer from each drop-down menu.
4 units
4 units
6 units
6 units
4 unitst
The total area of the three triangles is
square units.
The area of the figure is
square units.
Reset
Nextk
Answer:
The total are of the three triangles is 36 square units.
The area of the figure is 60 square units.
Answer:
first box 36 second box 60
Step-by-step explanation:
Evaluate -33.
-27
-9
9
27
Answer:
- 27
Step-by-step explanation:
(- 3)³
= - 3 * - 3 * - 3
= - 27
Hope it will help :)❤
Answer:
[tex] - {3}^{3} \\ = - 27[/tex]
Determine the range of the third side of a triangle given that two sides are 14 inches and 8 inches long
Answer:
Let the triangle be ABC
Let AB = 14 and BC = 8
By Pythagoras theorem ,
[tex]AC^2 = AB^2 + BC^2 = 14^2 + 8^2 = 196 +64 = 260\\AC = \sqrt{260}\ inches[/tex]
Answer:
6 < x < 22
Step-by-step explanation:
Given 2 sides of a triangle then the third side x is in the range
difference of 2 sides < x < sum of 2 sides , that is
14 - 8 < x < 14 + 8
6 < x < 22
I NEED IMMEDIATE HELP!! THIS IS DUE IN TOMORROW MORNING
Answer:
Rotation by 90 degrees clockwise about the point (2,2)
Step-by-step explanation:
Hope this is useful to u
PLEASE HELP ME ASAP
A 30°-60°-90° triangle has a shorter leg with a length of 14 cm. The hypotenuse of the triangle is ___ cm.
Answer:
28 cm
Step-by-step explanation:
side opposite of 30° = x = shorter leg / opposite.
side opposite of 60° = x√3 = adjacent.
side opposite of 90° = 2x = hypotenuse.
Carly buys 3 more band concert tickets than choir concert tickets. Band concert tickets cost $3.50 per ticket. What is the cost for the choir concert and band concert tickets?
Answer:
I'm not to sure, but I'll say 10.5
If you multiply 3.50 x 3 you'll get 10.5
If you add you'll get 13.5.
If it's an addition I'll recommend to go with 13.5
If it's a multiplication I'll recommend to go with 10.5
Find the volume of a pyramid with a square base, where the perimeter of the base is 10.1\text{ ft}10.1 ft and the height of the pyramid is 13.4\text{ ft}13.4 ft. Round your answer to the nearest tenth of a cubic foot. Find the volume of a pyramid with a square base, where the side length of the base is 6.1\text{ m}6.1 m and the height of the pyramid is 4.7\text{ m}4.7 m. Round your answer to the nearest tenth of a cubic meter.
Answer:
28.5 ft^3
58.3 m^3
Step-by-step explanation:
volume of a pyramid = 1/3 x length x width x height
Perimeter of a pyramid = 4 x length
10.1 = 4 x length
length = 10.1 / 4 = 2.525
1/3 x (2.525 x 2.525 x 13.4) = 28.5 ft^3
1/3 x (6.1 x 6.1 x 4.7) = 58.3 m^3
the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero
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Answer:
narr
Step-by-step explanation:
A grocer has 2 kinds of tea, one that sells for $8.00 per pound and the other that sells for $6.00 per pound. How many pounds of each kind must he use to make 50 pounds of tea that will sell for $7.40 per pound?
Answer in _____ pounds of $8.00 tea and _____ pounds of $6.00 tea
ASAP-WILL MARK BRANLIEST!
Answer:
35 pounds of $8.00 tea and 15 pounds of $6.00 tea
Step-by-step explanation:
Let x represent the pounds of tea of the $8 kind. 8x would represent the total cost of that type of tea. We can also say 50 - x is the pounds of tea of the $6 kind, so 6(50 - x) is the total cost of that type of tea. 50 * 7.4 represents the total cost of all the tea, and the expression 8x + 6(50 -x) would also represent the same thing. We can write this as an equation,
8x + 6(50 -x) = 50 * 7.4
simplify,
8x + 300 - 6x = 370
2x + 300 = 370
and solve.
2x = 70
x = 35
This means there is 35 pounds of the $8 kind.
We can subtract that from 50 to find,
50 - 35 = 15,
15 pounds is the amount of the $6 kind.
At her track practice, Marcella can run at 2.4 meters per second. She writes the equation y=2.4.0 to
represent how many meters she runs after a certain number of seconds.
Which statement is true regarding the variables in the equation y = 2.4x?
[tex]\huge\mathcal{\fcolorbox{cyan}{black}{\pink{Answer࿐}}}[/tex]
★Option 3rd is correct
Hope it helps dear✧══════•❁❀❁•══════✧
P(A/B) = P(ANB)
P(B)
Freshmen
Sophomores
Juniors
Seniors
Boys
3
1
4
2
Girls
7
9
6
5
P(Freshman Boy)
The probability of a freshman being a boy is 3/37.
What is probability?
Probability is a branch of mathematics that deals with the study of randomness and uncertainty in events. It is the measure of the likelihood or chance that an event will occur. Probability is expressed as a number between 0 and 1, where 0 indicates that the event will not occur and 1 indicates that the event will occur with certainty.
The total number of students is:
3 + 1 + 4 + 2 + 7 + 9 + 6 + 5 = 37
The number of freshman boys is 3. Therefore,
P(Freshman Boy) = number of freshman boys / total number of students
P(Freshman Boy) = 3/37
Hence, the probability of a freshman being a boy is 3/37.
To know more about probability visit :
https://brainly.com/question/13604758
#SPJ1
draw the graph of 4x-3y=0
Answer:
[tex] slope = \frac{4}{3} [/tex]
Step-by-step explanation:
Hope it is helpful....
WILL MARK BRAINLIEST IF GOTTEN RIGHT!!!!
Answer:
C
Step-by-step explanation:
Using Pythagoras' identity in right triangle BPO
with PB = 4 ( half of AB ) and OB = 5 ( radius of circle )
OP² + 4² = 5²
OP² + 16 = 25 ( subtract 16 from both sides )
OP² = 9 ( take the square root of both sides )
OP = [tex]\sqrt{9}[/tex] = 3
1000 + 874 + 53528 - 1026 =
Answer:
54376
is the answer .......
help meh please!!!!!!!!!!
The radius of a circle is 6 kilometers. What is the length of a 75° arc?
Answer:
7.85km
Step-by-step explanation:
Given data
Radius= 6km
θ= 75°
Arc length = 2πr (θ/360)
substitute
Arc length = 2*3.142*6 (75/360)
Arc length = 2*3.142*6*0.2083
Arc length = 7.85 km
Hence the length of the arc is 7.85km
ILL GIVE BRAINLIEST. plsss help asap
Answer:
first one
Step-by-step explanation:
Answer:
It will be the first answer, Both balls will at the same rate
Which expression has a value of 2/3?
A. 8 + 24 divided by 12 x 4
B. 8 + 24 divided by (12 x 4)
C. (8 + 24) divided by (12 x 4)
D. 8 + (24 divided by 12) x 4
Answer:
C)
Step-by-step explanation:
A) 8 + 24 ÷ 12 x 4 = 8 + 2 x 4 = 8 + 8 = 16
B) 8 + 24 ÷ (12 x 4) = 8 + 24 ÷ 48 = 8 + 1/2
C) 32 ÷ 48 = 2/3
D) 8 + 2(4) = 16
-2x + 6 greater than or equal to -4
Answer:
C
Step-by-step explanation:
-2x+6 [tex]\geq[/tex]-4
-6 -6
-2x [tex]\geq[/tex]-10
divide both sides by -2
-2/2=-1
-10/2=-5
-5*-1=5
x[tex]\geq[/tex]5
x is greater than 5 so the number should be larger than 5 or equal to 5.
The running back ran a total of 258 yards during the football game last Sunday. That was ten less than three times the amount of yards, y, that he ran two weeks ago. Which equation can be used to find the number of yards that he ran two weeks ago?
Answer:
258 = 3y - 10
3y = 258 + 10
3y = 268
Step-by-step explanation:
red rock city got 8 inches of snow. this is 4 times as much snow has Millstown got on the same day.
Answer:
what's the question
Step-by-step explanation:
I don't understand it
I wanna know if any of you guys could possibly help me with my foods work? It’s not hard it’s just a lot of once and I really have to get it done. plz don’t comment to be a moron.
weet is the least common multiple of the two denominators?
4
832
12
32
8
Aşağıda verilen kesirlerin yüzde sembolü kullanılarak verilen gösterimlerden hangisi yanlıştır A 3/4=%75 B 2/4=%50 C 8/25=%32 D 15/75=%12
Cevap:
D
Adım adım açıklama:
Verilen İfadelerin Değerlendirilmesi:
3/4 = 0.75; 0,75 *% 100 =% 75 - doğru
2/4 = 1/2; 1/2 *% 100 =% 50 - Corect
8/25 = 0,32 *% 100 =% 32 - doğru
15/75 = 1/5 = 0,2 * 100 =% 20,% 12 olarak verildiği için yanlıştır
hello please help i’ll give brainliest
Answer:
9
Step-by-step explanation:
8,8,9,10,10
the median is 9 and adding any other number tht isnt 9 would shift that median.
what is the value of x
Answer:
8
Step-by-step explanation:
Lines have angles that are equal to 180. Therefore, because we already have 140 of the 180 necessary, we can subtract 140 from 180 to get 40. 40 divided by 5 is 8.
Hope that this helps!
Answer:
I. x=8
Step-by-step explanation:
lines form 180° angles so
140 +5x= 180 ; subtract 140 from both sides
5x= 180-140; divide both sides by 5
x= 40/5 = 8
"The product of four and a
number is more than ten."
Answer:
x>5/2
Step-by-step explanation:
4x>10
x>10/4
x>5/2