Answer:
A is right because 5 is positive integer whereas -5 is negative integer.
Prove that √sec²
Given:
Consider the given statement is
[tex]\sqrt{\sec^2\theta+\text{cosec}^2\theta}=\tan \theta+\cot \theta[/tex]
To prove:
The given statement.
Solution:
We have,
[tex]\sqrt{\sec^2\theta+\text{cosec}^2\theta}=\tan \theta+\cot \theta[/tex]
Taking LHS, we get
[tex]LHS=\sqrt{\sec^2\theta+\text{cosec}^2\theta}[/tex]
[tex]LHS=\sqrt{\dfrac{1}{\cos^2\theta}+\dfrac{1}{\sin^2\theta}}[/tex]
[tex]LHS=\sqrt{\dfrac{\sin^2\theta+\cos^2\theta}{\sin^2\theta\cos^2\theta}}[/tex]
[tex]LHS=\sqrt{\dfrac{1}{\sin^2\theta\cos^2\theta}}[/tex] [tex][\because \sin^2\theta+\cos^2\theta=1][/tex]
[tex]LHS=\dfrac{1}{\sin\theta\cos\theta}[/tex]
[tex]LHS=\dfrac{\sin^2\theta+\cos^2\theta}{\sin\theta\cos\theta}[/tex] [tex][\because \sin^2\theta+\cos^2\theta=1][/tex]
[tex]LHS=\dfrac{\sin^2\theta}{\sin\theta\cos\theta}+\dfrac{\cos^2\theta}{\sin\theta\cos\theta}[/tex]
[tex]LHS=\dfrac{\sin\theta}{\cos\theta}+\dfrac{\cos\theta}{\sin\theta}[/tex]
[tex]LHS=\tan \theta+\cot \theta[/tex]
[tex]LHS=RHS[/tex]
Hence proved.
Two sides of a triangle measure 20 cm and 30 cm. Which of the following could be measure of the third side.
A-3cm
B-6cm
C-11cm
Answer:
11 cm
Step-by-step explanation:
the other two choices are too short
If 30 is the hypotenuse, the other two sides must exceed 30.
Answer:
C-11cm
Step-by-step explanation:
The sum of two sides of a triangle must always be bigger than the third!
3+20 is less than 30
6+20 is less than 30
11+20 is greater than 30!
Hope this helps :)
Kyra was building a bed for her dollhouse. She used her bed, which is 4 feet × 5 feet, as a guide. She scaled down the dimensions of her bed by a factor 1 over 5. What are the dimensions of the model bed she built
You spend $56 dollars on food and beverages. You spent $18 more on food than on beverages,
How much did yo spend on beverages?
How much did you spend on food?
Help ASAP!!!!!!
A school of poetry that advocates using everyday language to capture and present
images in precise, brief poems that suggest, rather than enforce, interpretation is...
Answer: Imagism is a school of poetry that advocates using everyday language to capture and present images in precise, brief poems that suggest, rather than enforce, interpretation
solve the equation < or >? +10 ? +13
Answer:
the answer is <
Step-by-step explanation:
13 is bigger than 10.
find the slope in the graph attached
ty :P
Answer:
[tex]\displaystyle m=\frac{-2}{3}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Reading a Cartesian planeSlope Formula: [tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Find points from graph
Point (-3, 1)
Point (3, -3)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute in points [Slope Formula]: [tex]\displaystyle m=\frac{-3-1}{3+3}[/tex][Fraction] Subtract/Add: [tex]\displaystyle m=\frac{-4}{6}[/tex][Fraction] Simplify: [tex]\displaystyle m=\frac{-2}{3}[/tex]Find the zeros of the function.
Enter the solutions from least to greatest.
g(x) = -10x2 + 490
lesser =
greater x =
Answer:
Lesser = -490
Greater x = 100x
Step-by-step explanation:
The zeros is basically the opposite numbers to make the equation equal to 0.
We have -10x^2(I believe it's a power)
and we have + 490
so,
-10x^2 = -100x
So the opposites to make those is:
+ 100x because, -100x + 100x = 0
and -490 because, 490 - 490 = 0.
What are the solutions to (3x - 2) (4x + 1) = 0?
9514 1404 393
Answer:
x = 2/3, -1/4
Step-by-step explanation:
The zero product rule tells you a product will be zero only if one or more factors is zero. The solutions to this equation are the values of x that make one or the other of the factors be zero.
3x -2 = 0
3x = 2
x = 2/3 . . . . makes the first factor zero
__
4x +1 = 0
4x = -1
x = -1/4 . . . . makes the second factor zero
__
The solutions are ...
x = 2/3 or x = -1/4
helppppppppppppppp meeeeeeeeeeeeeeeeee
Answer:
post better pic and I will help
What is the y-intercept of y=5x-2
Answer:
the y intercept is -2
Step-by-step explanation:
the y intercept is always the value on the end
Answer slope-intercept form is y = mx+ b y = m x + b, where m m is the slope and b b is the y-intercept. y = mx +b y = m x + b Find the values of m m and b b using the form y = mx+b y = m x + b.
Step-by-step explanation:
Please give me the correct answer.
Answer:
The fucntion of number one exchange
Step-by-step explanation:
I took the iready and got 100%
I need help! Can someone pls help with this?
Answer: the third one
Step-by-step explanation:
Charles and Seth are building a ramp for Sasha and Samantha. The base of the triangle is 11ft and it's height is 5ft. How long is the diagonal of the ramp?
Answer: 12.1 ft
Step-by-step explanation:
A ramp represents a right-angled triangle so Pythagorean formula can be used to find the diagonal length which will also be the hypotenuse.
c² = a² + b²
Where:
c = hypotenuse
a = base
b = Height
c² = 11² + 5²
c² = 121 + 25
c² = 146
c = √146
c = 12.1 ft
Help I’ll mark you brainly! Please help!
Answer:
Vertex: (-2, -3)
A.O.S: x = -2
Roots: -4.5 and .5
Y-intercept: (0, -1)
Step-by-step explanation:
Look at the graph!!!
This is stumping me please help
Answer:
A) 8
Step-by-step explanation:
Find the domain of the following graph
Answer:
-5,-4,-3,-2,1,0,1,2
Step-by-step explanation:
Domain are all the x values. I believe this is the answer, however the open bracket o is bit confusing, if this it not correct(still should be)try -5,and forever going. But yeah im like 99% sure im right
Please help me it’s due tomorrow morning :(!!
Answer:
Using a variable to represent a pattern is helpful because you do not need to constantly rewrite the pattern.
Step-by-step explanation:
29. You drop a handball from a height of 1 meter. Each curved path has 64% of
the height of the previous path.
a. Write a rule for the sequence using centimeters. The initial height is when n = 1.
b. What height will the ball reach at the top of the sixth path?
Please help! (20 points)
Find the values of A and B in each triangle: show your work
Answer:
soh cah toa
to find a use sin =opp/hyp
sin 32=opp or a /hyp
sin 32*hyp=9.53
then to find b you can pythagorean theorem or just use cah or cos =adj/hyp
same process as above only using cos instead of sin
you get 15.3
then a^2+b^2=c^2
9.53^2+15.3^2=18^2 just to check or to use to find either a or b given c and either a or b
Step-by-step explanation:
Which of the following statements about AB and AC is true?
C(4.4)
A(-11)
B(0-4)
A. AB is longer than AC
B. AC is 6 units long
C. AB and AC are the same length
D. AC is longer than AB
Answer:
AB is longer than AC which is the letter a
Use the table to find the relationship between the two quantities. A 2-column table with 4 rows. Column 1 is labeled x with entries 1, 2, 3, 4. Column 2 is labeled y with entries 11, 22, 33, 44. What relationship between the quantities is shown in the table? The relationship between quantities is +10. The relationship between quantities is ×11. The relationship between quantities is – 30. The relationship between quantities is + 20.
Answer:
B
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
A box contains 4 red balls. Three balls are drawn at random, without replacement, from this box. Given that the first ball was red, what is the probability that the next two balls are blue?
Answer:
Step-by-step explanation:
0
I need ur help with this just two questions. lets see who's good at this. n ofc in return ill brainlist.
market stall holder bought a variety of coloured 'hoodies to sell. Each hoodie costs the stall holder $20 and she intends to sell them to the public at a mark up of 65%
write the percentage mark up value as:
1) fraction in simplest form
2) decimal
Answer:
20 x 0.65 = 13
20 + 13 = 33
20 x 65/100 = 13
Answer:
variety of coloured 'hoodies to sell. Each hoodie costs the stall holder $20 and she intends to sell them to the public at a mark up of 65% write the percentage mark up value as: 1) fraction in simplest form ... an acute angle lies in the range. 0 \leqslant \theta ... an angle that measures 65° i
Step-by-step explanation:
i'll give brainliest if you help me!!
Find the value of x. If needed round to the nearest tenth (one decimal place)
Answer:
x = 8.7
Step-by-step explanation:
The triangles are congruent, which means that the sides are proportional to each other. Line DE and line BE are proportional to each other. This means that:
8 = 12
We can simplify this down to
2 = 3
Now that we have this proportion we can apply it to Lines AE and EC
2(13) = 3x
26 = 3x
8.67 = x
Therefore x is equal to 8.67 (or 8.7 rounded)
Check:
8/12 = 0.6667
8.6667/13 = 0.6667
Since both are the same, the answer is correct.
I hope this helps!!
- Kay :)
The given point -7,-2 reflected over the y axis
Answer:
(7, -2)
Step-by-step explanation:
visualize
Simplify using the division rule
14,252
Trs
Answer:
2rs
Step-by-step explanation:
simplify- 2*7r^2s^2/7rs
r^2 divided by r^1=r^(2-1)=r^1=r
s^2 divided by s^1=s^(2-1)=s^1=s
canceling out 7 as it appears on both sides of the fraction line
Jerry started doing sit-ups every day. The first day he did 19 sit-ups. Every day after that he did 4 more sit-
ups than he had done the previous day. Today Jerry did 81 sit-ups. Write an equation that could be solved
to find the number of days Jerry has been doing sit-ups, not counting the first day. Let n represent the
number of days.
An equation that can help Jerry to find the number of days he has been dolng sit-ups is given by
Answer:
81 - 19 = 62 ÷ 4 = 15.5 days (?)
[tex]y=-4/3x+4[/tex]
Answer:
-4/3x+4
Step-by-step explanation:
HELPPPPPP I HAVE NO IDEA HOW TO DO THIS!!!!!!!
Answer:
3 down 2 right
Step-by-step explanation:
A is at Y = 1, A’ is at Y = 4
4-1 = 3
It moved up 3 units.
A is at X = 1, A’ is at x = -1
1 - -1 = 2
It moved to the left 2 units.