Answer:
The equation is not an identity.
Step-by-step explanation:
Since we have Sin theta/cos theta + cos theta/sin theta = cos theta sin theta, we re-write as Sinθ/cosθ + cosθ/sinθ = cosθsinθ where theta = θ.
For the equation to be an identity, we need to show that L.H.S(left-hand-side)= R.H.S (right-hand-side)
So,
Sinθ/cosθ + cosθ/sinθ = (Sin²θ + cos²θ)/cosθsinθ (taking L.C.M = cosθsinθ)
= 1/cosθsinθ (Sin²θ + cos²θ = 1)
≠ cosθsinθ
Since L.H.S = Sinθ/cosθ + cosθ/sinθ = 1/cosθsinθ ≠ R.H.S = cosθsinθ, the equation is not an identity.
Orbet used 24 square tiles to make a rectangle. The perimeter of the rectangle is 20 units. What would be the perimeters of the other rectangles Corbet could make using only these 24 tiles? How do the areas of the rectangles compare? Explain.
Answer:
The perimeter of other rectangles are 50, 28, 22 units
The area of all possible rectangles are same and equals to 24 unit²
Step-by-step explanation:
Given - Orbet used 24 square tiles to make a rectangle. The perimeter of the rectangle is 20 units.
To find - What would be the perimeters of the other rectangles Orbet could make using only these 24 tiles? How do the areas of the rectangles compare?
Proof -
We know that
Are of Rectangle = Length × Breadth
And Perimeter of Rectangle = 2 (Length + Breadth )
Now,
Given that,
Orbet used 24 square tiles
And perimeter of the rectangle made = 20
So,
Possible Length of rectangle = 6
Possible breadth of Rectangle = 4
Or Vice-versa.
Total number of Rectangles possible = 4
Possibilities are - 1 × 24, 2 × 12, 3 × 8, 4 × 6
Case I :
Length of rectangle = 1
Breadth of rectangle = 24
∴ Perimeter of rectangle = 2(1 + 24) = 2(25) = 50 units
Area of rectangle = 1 × 24 = 24 unit²
Case II :
Length of rectangle = 2
Breadth of rectangle = 12
∴ Perimeter of rectangle = 2(2 + 12) = 2(14) = 28 units
Area of rectangle = 2 × 12 = 24 unit²
Case III :
Length of rectangle = 3
Breadth of rectangle = 8
∴ Perimeter of rectangle = 2(3 + 8) = 2(11) = 22 units
Area of rectangle = 3 × 8 = 24 unit²
Case IV :
Length of rectangle = 4
Breadth of rectangle = 6
∴ Perimeter of rectangle = 2(4 + 6) = 2(10) = 20 units
Area of rectangle = 4 × 6 = 24 unit²
∴ we get
The perimeter of other rectangles are 50, 28, 22 units
The area of all possible rectangles are same and equals to 24 unit²
anyone have the answer ??
Answer: D- -4 degrees
Step-by-step explanation:
2-3= -1 -1 - 3 = -4
Answer:
D. -4°C
Step-by-step explanation:
A local pizza shop has a membership program for frequent buyers. The
costs $25 per month and members get a discounted price of $1 per slice of pizza.
Montraie purchased a membership to this pizza shop. How much would Montraie
have to pay the pizza shop if he bought 13 slices of pizza this month? What would be
the monthly cost for slices of pizza?
Answer:
13 bucks would be the answer hope this helped
A new high definition TV is on sale for $240, reduced 25% from its original price. What was the
original price?
Help pleaseee
Answer:
$320
Step-by-step explanation:
To find the original price, divide 240 by 0.75
240/0.75
= 320
So, the original price is $320
Answer:
The original price was $320 dollars
Step-by-step explanation:
25% of 320 is 80.
320 - 80 = 240.
So, the answer is 320.
Hope this helps! :)
A store is having a sale on trail mix and jellybeans for 3 pounds of trail mix and 5 pounds of jellybeans the total cost is $23 for 6 pounds of trail mix and 2 pounds of jellybeans the cost is $20 find the cost for each pound of trail mix in each pan of jellybeans
Answer:
The jelly beans cost $2.25 / pound
The trail mix costs $1.25 / pound
Step-by-step explanation:
I just took the test.
What is the slope of the line?
Answer:
8
Step-by-step explanation:
exponential growth
Is income salary? or is it the *take home pay* after tax deductions are made? and if it is the second one, then is income the same as *net monthly salary?*
When finding the probability of getting a heads when flipping a coin. Which of the following should produce an experimental probability closest to the theoretical
probability?
Answer:
ADD EVERTHING UP
Step-by-step explanation:
Ella S, Lily, Aziza, and Kevin earned a total of $100 shoveling snow. Each of them earned the same amount. How much did each of them earn? I will give 13 points
Answer:
$50 :)
Step-by-step explanation:
B. Paula's Flower Shop has 246 tulips. The tulips need to be arranged in large vases that hold
exactly 8 flowers
.
How many large vases can be filled with 8 flowers each?
Will there be any leftover tulips?
• If so, how many?
If one inch represents 3 units, what dimensions would you use to draw a rectangular field that is 20 units by 14 units?
Answer:
Step-by-step explanation:
If 1 inch = 3 units,
Therefore 1 unit = ⅓ inches, so to answer your question we have to
Multiply it by 20, to have :
20 units = 20× ⅓ = 20÷3
20 units = 6.66
Therefore we can use the same principle in that of 14 units.
14 units = (14 × ⅓) inches
14 units = 4.66 inches
PLEASE GIVE BRAINLIEST.
If f(x) = , g(x) = 5x, and h(x) = x + 4, find each value. h[f(4)], g[h(–2)], f[g(1)]. pls write the steps. DON'T SEND A LINK OR FILE!
Answer:
Step-by-step explanation:
Deondra surveyed 240 of the students in her school about their favorite color.
Students could choose between purple and blue. 15% said their favorite color was
blue. How many students' favorite color was purple?
Answer:
the answer is 180 students.
Step-by-step explanation:
I got this by subtracting 15 by 100 and got 75. This means 75% chose purple. Then you take 75% of 240 and that's your answer
Answer:
204
Step-by-step explanation:
ok
Enter non-integer answer as a decimal.
**Notice, it is going to hit right at the point (8,175) where the arrow touches**
Answer:
Step-by-step explanation:
mi/gal=175/8, as a decimal
21.875 mi/gal
Please guys help me with this question. I will give you the brainliest if you give me the correct answers.
Please show the working
Answer:
(a) She is 280m from her starting position
(b) 200m west then 80m south
Step-by-step explanation:
(a) 80m + 200m
= 280m
(b) First she walked 80m north n 200 east
If she want to get back to her starting position she will have to travel the same distance in the opposite direction
Opposite of East is West n opposite north is south
so she will have to go 200m west n then 80m south
I really need help with this!! If you know how to solve please help!
Find the sum of sides of a convex polygon if the sum of the measures of its interior angles is: 540 degrees, 1080 degrees, 1800 degrees, 1620 degrees, 2340 degrees, 3600 degrees, 2880 degrees, and 7560 degrees.
Answer:
18,540
what i know is 18,540
y= 1/6x find y when x= -60
Answer:
-10
Step-by-step explanation:
Plugin the value of x.
y=1/6(-60)
y=-60/6
y=-10
If this helped please consider giving brainliest.
need the answers to this with the work show and done before 11:30!!!! pls answer fast
Please answer this quickly it’s for a test!
Answer: I think its D, not positive though.
Step-by-step explanation:
I could really use some help. I am trying to solve this for a friend, and I am completely stuck.
Answer:
-x2 + -x3 =x
there ya go
please help times running out
Answer: c
Step-by-step explanation:
x/2+ 1 = 9
options:
x = 16
x = 20
x = 4
x = 5
Please help me, thank you so much!! It’s just the words, no photo just so you know.
Answer:
Step-by-step explanation:
formula: a^2 + b^2 = c^2
a^2 + 15^2 = 17^2
a^2 + 30 = 289
-30 -30
a^2 = 259
(square root)
a = approximately 16
someone please help me solve this: - 2x + 10 + 5x = 40
Answer:
X=10
Step-by-step explanation:
So, -2x+10+5x=40. first we subtract ten from both sides, getting us to -2x+5x=30, then we subtract 2x from 5x, because its negative, getting us to 3x=30, basically x=10.
1/5 + (-4/5) please help me
Answer:
when added we get -0.6
Step-by-step explanation:
so -0.6 is your answer!
Answer:
-3/5
Step-by-step explanation:
Find measure of angle 2 - can someone help???
Answer:
44
Step-by-step explanation:
Answer:
[tex] m\angle 2 = 88\degree - m\angle 1 [/tex]
Step-by-step explanation:
[tex] m\angle 1 + m\angle 2 = m\angle WUV[/tex]
[tex] m\angle 2 = m\angle WUV- m\angle 1 [/tex]
[tex] m\angle 2 = 88\degree - m\angle 1 [/tex]
What is the range of (-1, 75), (0, 15) and (1, 3)?
The height of a triangle is 2 less than 5 times its base. If the base of the triangle is x feet, and the area of the triangle is 12 square feet, which
equation models this situation?
A. 5x^2-2x-24=0
B. 5x^2-2x-12=0
C. 5x^2-2x-6=0
D. 25x^2-10x-24 = 0
11. < ABE and < DBE are supplementary
angles. If the measure of < ABE is 61, what
is the measure of < DBE?
Answer:
119°
Step-by-step explanation:
< DBE = 180° - < ABE
or, < DBE = 180° - 61°
or, < DBE = 119°
hope it works, fanks !!
A new gaming system costs $350. A store offers a 20% discount on the new gaming system. What is the amount of the discount?
Answer:
70
Step-by-step explanation:
Answer: $70
Step-by-step explanation:
1. Make an equation: since 100% price is equal to $350, you can make this ratio => 100:$350=80:$x
x stands for the cost after 20% discount.
2. Solve by cross multiply: 350*80=100x => 28000=100x => x=280
3. Subtract : to find the amount of discount, subtract the discounted price from the original price => 350-280=70
Have a nice day! :D