Answers
Answer:
[tex]{ \sf{( \sec \theta - \csc \theta)(1 + \tan \theta + \cot \theta) }} \\ = { \sf{( \sec \theta + \tan \theta \sec \theta + \cot \theta \sec \theta) - ( \csc \theta - \csc \theta \tan \theta - \csc \theta \cot \theta)}} \\ = { \sf{( \sec \theta + \sec \theta \tan \theta + \csc \theta) - ( \csc \theta - \sec \theta - \csc \theta \cot \theta)}} \\ = { \sf{ \sec \theta \tan \theta + \csc \theta \cot \theta }} \\ { \bf{hence \: proved}}[/tex]
Related Questions
First, find the length of each edge of the cube.
Then, find the volume.
Answers
since in a cube length, width and height are equal,
h = 6
w = 6
l = 6
and volume is 6³ = 216cm³
hope it helps :)
need help with this!!
Answers
please help, it is similar to angles. halpp
Answers
Answer:
Step-by-step explanation:
Because those 2 lines are parallel, then 2x + 10 and 2x - 30 are same side interior and are supplementary. Therefore,
2x + 10 + 2x - 30 = 180 and
4x - 20 = 180 and
4x = 200 so
x = 50
Answer:
x = 50
Step-by-step explanation:
Two Parallel lines and an transversal.
Given angles are co - interior angles and they are supplementary.
2x + 10 + 2x - 30 = 180
2x + 2x + 10 -30 = 180 {Combine like terms}
4x - 20 = 180
4x = 180 + 20 (Add 20 to both sides}
4x = 200 {Divide both sides by 4}
x = 200/4
x = 50
which are partcial products
for 34 x 28
Answers
Answer:
952
Step-by-step explanation:
34 = (30 + 4)
28 = (20 + 8)
34 x 28 = (30 + 4) x (20 + 8)
34 x 28 = 30 x 20 + 30 x 8 + 4 x 20 + 4 x 8
34 x 28 = 600 + 240 + 80 + 32
34 x 28 = 952
952 = 952
The ratio of Seema's age to the age of her mother is 5:12. The age difference is 21 years. What will be the ratio of Seema's age and her mother's age after three years?
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Let ages of Seema and her mother be “5x” years and “12x” years respectively.
Difference between ages is 21 years
Hence,
12x - 5x = 21
7x = 21
x = 3
Therefore,
Age of Seema = 5 × 3 = 15 years
Age of her mother = 12 × 3 = 36 years
Ratio of ages after three years = ( 15+3 ) / (36+3 )
= 18 / 39
= 6 / 13
= 6 : 13
this is for my lil bro. I kinda forgot how to do this so help would be appreciated.
Answers
Answer:
Yes
Step-by-step explanation:
-10x+4y ≥-4
Plug in (0,-1)
-10(0) +4(-1) ≥-4
-4 ≥ -4
This is a true statement so the point is a solution
Answer:
Yes
Step-by-step explanation:
Substitute x = 0 and y = -1
Then
[tex] - 10(0) + 4( - 1) \geqslant - 4 \\ - 4 \geqslant - 4[/tex]
Helppppp me please…….:/
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Answer:
65.3%
Step-by-step explanation:
what we want: p(2)+p(3)+p(4)
[tex]P(2)={5\choose2}*.4^2*.6^3\\P(3)={5\choose3}*.4^3*.6^2\\P(4)={5\choose4}*.4^4*.6\\P(2)+P(3)+P(4)= .6528[/tex]
which equal 65.28%
which rounds to
65.3%
If 55% people in a city like Cricket, 30% like Football and the remaining like nother games, then what per cent of the people like other games? If the total people is 60 lakh, find the exact number who like each type of games Answer it fast, no spam please
write in notebook
Answers
[tex]\large{\dag\:{\underline{\underline{\frak{\pmb{\red{Answer:-}}}}}}}[/tex]
Cricket = 55%Football = 30%Other games = Remaining (?)So, the percent of people who like other games equals:
= 100 – (55 + 30)
= 100 – 85
= 15%
If the total no. of. people is 60,00,000:
★ Cricket
= 60,00,000 × 55/100
= 33,00,000
★ Football
= 60,00,000 × 30/100
= 18,00,000
★ Other sports
= 60,00,000 × 15/100
= 9,00,000
Givenl || m | n, find the value of x.
. m
44°
77
By
Answer: 0
Submit Answer
attempt 1 out of 2
Can someone pls help
Answers
Answer:
x = 136
Step-by-step explanation:
x and 44 are same- side interior angles and sum to 180° , that is
x + 44 = 180 ( subtract 44 from both sides )
x = 136
Given: x-5> -10.
I clicked it on accident so ignore the blue thing ! Help needed
Answers
Answer:
the first one
Step-by-step explanation:
[tex]x - 5 > - 10 \\ x > - 10 + 5 \\ x > - 5[/tex]
What am i supposed to type here tho, just look at the photo pls
Answers
slope is just "how much up or down" for one step to the right.
its clearly negative here
only -3 seems to be remotely plausible looking at the graph in your screenshot
Answer:
The slope is [tex]-3[/tex]
Step-by-step explanation:
The slope of a line, [tex]m[/tex], that passes through points [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] is given by:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
To find the slope of a line, choose two points that it clearly passes through.
In the given graph, the line clearly passes through points (2, 2) and (0, 8).
Let:
[tex](x_1, y_1)\implies (2, 2)\\(x_2, y_2)\implies (0, 8)[/tex]
Substitute into the slope formula:
[tex]m=\frac{8-2}{0-2}=\frac{6}{-2}=\boxed{-3}[/tex]
Therefore, the slope of the line is -3.
Rick spent 3/5 of his money on books. He spent another 2/7 of his money on stationary. What fraction of his money had he left?
Answers
Answer:
He has 4/35 of with money left
Step-by-step explanation:
1 - 3/5 - 2/7 = 4/35
This basically answers the question
Fill in the missing number in the equation.
Drop down answers: -2, 8, 15, or It is not possible to find the answer
Answers
9514 1404 393
Answer:
8
Step-by-step explanation:
The matrix being multiplied is the same in all cases, so we can "collect terms" in the usual way.
3A +5A = (3+5)A = 8A . . . . . . where A represents the 2×2 matrix
The missing number is 8.
56 = h/9
k/5 - 10 = 3
3t + 5 =2
Answers
Answer:
h = 504, k = 65, t = -1
Step-by-step explanation:
56 = h/9
h = 56 x 9
h = 504
k/5 - 10 = 3
k/5 = 3 + 10
k/5 = 13
k = 13 x 5
k = 65
3t + 5 = 2
3t = 2 - 5
3t = -3
t = -3/3
t = -1
Bài 1 Tìm x biết
X^2=16
Answers
Answer:
x=4
Step-by-step explanation:
13) Stephanie is making lasagna for a party. The recipe uses 1 1/2 teaspoons of basil, teaspoons of salt, teaspoons of
pepper and 2/4 teaspoons of salt, 1/8 teaspoons of pepper and 4 teaspoons of parsley.If she needs to make 1.5 times the recipe, how many teaspoons will she use of each
ingredient? How many teaspoons will she use in total (when she combines all of the ingredients)? Show all of your
work.
Answers
Answer:
10.875 total, 1.5 times each are below.
Step-by-step explanation:
1.5 (1 1/2) x 1.5 = 2.25
0.5 (2/4) x 1.5 = 0.75
0.125 (1/8) x 1.5 = 1.875
4 x 1.5 = 6
2.25 + 0.75 + 1.875 + 6 = 10.875 total
PLEASE HELP DUE TODAY
Answers
Answer:
is it your homework?
Step-by-step explanation:
I need 26/50 simplified so I can answer an assignment
Answers
13/25
Step-by-step explanation:
Find: 26/50 simplified
Step 1: Find the GCF (Greatest Common Factor) of 26 and 50
26: 1, 2, 13 & 26
50: 1, 2, 5, 10, 25 & 50
The GCF (Greatest Common Factor) will be 2
Then simplify 26/50 by 2
26/50 = 13/25
Connor rolled a die 6 times. A 2 occurred three times. Why isn't the theoretical probability 3/6 instead of 1/6?
Answers
2 occurred 3times
[tex]\\ \sf\longmapsto S=6\times 3=18[/tex]
[tex]\\ \sf\longmapsto |S|=18[/tex]
Now
[tex]\\ \sf\longmapsto E=No\:of\:times\: 2\:occured[/tex]
[tex]\\ \sf\longmapsto |E|=3[/tex]
we know
[tex]\boxed{\sf P(E)=\dfrac{|E|}{|S|}}[/tex]
[tex]\\ \sf\longmapsto P(E)=\dfrac{3}{18}[/tex]
[tex]\\ \sf\longmapsto P(E)=\dfrac{1}{6}[/tex]
Find the accumulated value of an investment of $10,000 for 7 years at an interest rate of 5.5% if the money is a. Compounded semiannually;b. Compounded quarterly; c. Compounded monthly; d. Compounded continuously
Answers
Answer:
Results are below.
Step-by-step explanation:
Giving the following information:
Annual interest rate (i)= 0.055
Initial investment (PV)= $10,000
Number of years (n)= 7
To calculate the future value (FV), we need to use the following formula (except in d):
FV= PV*(1+i)^n
a.
Semiannual interest rate= 0.055/2= 0.0275
Number of semesters= 7*2= 14
FV= 10,000*(1.0275^14)
FV= $14,619.94
b.
Quarterly rate= 0.055/4= 0.01375
Number of quarters= 7*4= 28
FV= 10,000*(1.01375^28)
FV= $14,657.65
c.
Monthly interest rate= 0.055/12= 0.0045833
Number of months= 7*12= 84
FV= 10,000*(1.0045833^84)
FV= $14,683.18
d.
To calculate the future value using continuous compounding, we need to use the following formula:
FV= PV*e^(n*i)
FV= 10,000*e^(7*0.055)
FV= $14,696.14
Suppose 60% of the graduating class in a certain high school goes on to college. If 126 students from this graduation class are going on to college, how many students are from this graduating class?
Answers
Answer: 210
percent * base = amount
.6 * base = 126
base = 126/.6
x = 210
Step-by-step explanation:
Triangle ABC is a right triangle.
Triangle A B C. Angle A is x degrees, B is 90 degrees, C is (x minus 10) degrees. The exterior angle to angle C is (2 x + 40) degrees.
Which equations can be used to find the value of x? Check all that apply.
x + 90 + (x minus 10) = 180
x + 90 + (2 x + 40) = 180
2 x + 80 = 180
x + 90 = 2 x + 40
(x minus 10) + 90 = 2 x + 40
Answers
Answer:
x + 90 + (x minus 10)= 180° can be used to find the value of x.
Answer:
A) X+90+ (x-10) - 180
C) 2x+80 = 180
D) x+90 = 2x+40
Step-by-step explanation:
Mrs. hilt baked 7 dozen cookies and sold them for $4.25 per half dozen. how much money would Mrs. Hilt make if she sold all the cookies?
Answers
Answer:
59.5
Step-by-step explanation:
Half dozen = $4.25
Full Dozen = 2 X (4.25)
= 8.5
7 Dozens price = 7 X 8.5 =
= $59.5
Answered by Gauthmath
which choice is equivalent to the expression below?
6√7 - 5x√7 - x√7
Answers
[tex]6 \sqrt{7} (1 - x)[/tex]
make x the subject a=7x/k-r
Answers
Answer:
x = [tex]\frac{a(k-r)}{7}[/tex]
Step-by-step explanation:
Given
a = [tex]\frac{7x}{k-r}[/tex] ( multiply both sides by (k - r) )
a(k - r) = 7x ( divide both sides by 7 )
[tex]\frac{a(k-r)}{7}[/tex] = x
Vera uploaded a hilarious video of a squirrel to a funny video website. It was viewed 320 times on the first day. Each day since then, the number of views was 25% more than the day before.
Let f(n) be the number of views Vera's video for on the nth day side she uploaded it.
What kind of sequence is it?
A. Arithmetic sequence
B. Geometric Sequence
Write an explicit formula for the sequence.
f(n)=
Answers
Answer:
Step-by-step explanation:
On first day , the video was viewed = 320 times .
We are given that Each day since then, the number of views was 25% more than the day before. This means the likes are increasing 1.25 per day .
So, this situation forms G.P.
Where common ratio r = 1.25
First term = f(1) = 320
Formula of nth term in G.P. =
So, nth term of the given situation :
Where f(n) denotes the number of views on nth day .
So, the number of views Vera's video got on the nth day =
Step-by-step explanation:
If a circle has a RADIUS of 12 cm, what is the AREA rounded to the nearest tenth?
Answers
Step-by-step explanation:
R^2*3,14=12^2*3,14=452,16 làm tròn đến phần mười gần nhất là450
What is the area? please help
Answers
Answer:
70.875 [tex]km^{2}[/tex]
Step-by-step explanation:
Using the equation of area of trapezium
[tex]\frac{1}{2} * (a+b)h[/tex]
Put the value into the equation
[tex]\frac{1}{2}(4.8+5.7)*13.5[/tex]
Simplify the equation and you will get:
[tex]2.4*13.5=70.875 km^{2}[/tex]
So, the answer is 70.875km^2
Can someone please help me?
Answers
Answer:I’m not sure
Step-by-step explanation: try and use the scientific demos
find the missing length indicated
Answers
Answer:
192
Step-by-step explanation:
According to Euclidian theorem
x^2 = 144*(400-144)
x^2 = 144*256
x^2 = 36864 find the root of both
x = 192
