Answer:
LHS:-(4sin²x +9cos²x + 12sinxcosx) +(9sin²x+ 4 cos²x -12sinxcosx)
13 (sin²x + cos²x)
13*1 =
13RHSHP
Answer:
see explanation
Step-by-step explanation:
Using the identity
sin²x + cos²x = 1
Consider left side
(2sinx + 3cosx)² + (3sinx - 2cosx)² ← expand parenthesis using FOIL
= 4sin²x + 12sinxcosx + 9cos²x + 9sin²x - 12sinxcosx + 4cos²x
Collect like terms
= 13sin²x + 13cos²x ← factor out 13 from each term
= 13(sin²x + cos²x)
= 13 × 1
= 13
= right side , thus proven
zee fashion is offering 15% off on its entire stock of clothing
Answer:
sound great so whats your question
Step-by-step explanation:
which of the graphs shown below represents the base function f(x)=x^2 and the stretched function g(x)=-7/2x^2
Nevaeh rolls a standard six-sided die, numbered from 1 to 6. Which word or phrase
describes the probability that she will roll a 7?
certain
unlikely
Submit Answer
impossible
likely
DOLL
Answer:
Step-by-step explanation:
If she had two dice, a seven is the most common roll you can get, although the odds are still against you.
To get a seven with just 1 die is impossible.
-6+7s-4r-2 use s=7 and r=-7
Simplified
Answer:
[tex] - 6 + 7s - 4r - 2 \\ \\ - 6 + 7(7) - 4( - 7) - 2 \\ \\ - 6 + 49 + 28 - 2 \\ \\ = 6 9[/tex]
I hope I helped you^_^
Diyoshana, Hemant and Rupesh got different answers for this problem: {-10-3(10÷2)}-4.
Diyoshana's answer was 1, Hemant's answer was -29, and Rupesh's answer was 21
a). Which student had the correct answer?
b). Show and explain how other two students got their answers. What errors did they make?
My opinion on this:
this is a way to long question
I'm giving 20 points for this
Answer:
a)hemant is correct
b) they didn't solve this according to BoDMAS so they got wrong answer
a) The student Hemant's answer -29 is the correct answer, b) The errors they make is the change of sign in the first step.
What is simplification of an expression?
Simplification of an expression is the process of writing an expression in the most efficient and compact form without affecting the value of the original expression. It involves, multiply out the brackets and then simplify the resulting expression by collecting the like terms.
For the given situation,
The expression is {-10-3(10÷2)}-4
⇒ [tex][-10-3(\frac{10}{2} )]-4[/tex]
⇒ [tex][-10-3(5)]-4[/tex]
⇒ [tex][-10-15]-4[/tex]
⇒ [tex][-25]-4[/tex]
⇒ [tex]-29[/tex]
a) The student Hemant's answer -29 is the correct answer.
b) The student Diyoshana did mistake in sign in step 1 as
⇒ [tex][-10+3(\frac{10}{2} )]-4[/tex]
⇒ [tex][-10+15]-4[/tex]
⇒ [tex]5-4[/tex]
⇒ [tex]1[/tex]
The student Rupesh did mistake in sign in step 1 as
⇒ [tex][10+3(\frac{10}{2} )]-4[/tex]
⇒ [tex]25-4[/tex]
⇒ [tex]21[/tex]
Hence we can conclude that a) The student Hemant's answer -29 is the correct answer, b) The errors they make is the change of sign in the first step.
Learn more about simplification of an expression here
https://brainly.com/question/11444405
#SPJ2
420 hg = _____ cg
please help me
Answer:
420 hg = __4200000___ cg
Step-by-step explanation:
please mark me brainliestFind the inverse of each function. Then graph the function and it’s inverse.
Find m<1 if <1 is complementary to <2, <2 is supplementary to <3, and
m<3 = 126
Answer:
∠ 1 = 36°
Step-by-step explanation:
Supplementary angles sum to 180° then
∠ 2 + ∠ 3 = 180° , that is
∠ 2 + 126° = 180° ( subtract 126° from both sides )
∠ 2 = 54°
Complementary angles sum to 90° , then
∠ 1 + ∠ 2 = 90° , that is
∠ 1 + 54° = 90° ( subtract 54° from both sides )
∠ 1 = 36°
I really need help on this!!!!!
Why is the sum of the interior angles in a triangle different in Euclidean geometry vs Riemannian geometry?
Answer:
n spherical geometry angles are defined between great circles. ... The sum of the interior angles of a triangle ALWAYS exceeds 180 degrees. In Euclidean Geometry, two lines that intersect form exactly one point. However, in Spherical Geometry, when there are two great circles, they form exactly two intersecting points.
Step-by-step explanation:
Answer:
in riemannian geometry there is only one parallel to the given line.euclud second postulate is a straight line of fininit length that can be continued continuously without bounds
The optimal operating temperature of a given car engine is within 10°F of 190°F. Write an absolute value
inequality for the range of acceptable temperatures and solve the inequality.
The absolute value of inequality is 180 ≤ x ≤ 200 and its solution lies in [180, 200].
What is linear inequality?Linear inequality refers to the relation between a linear algebraic expression to some known value that contains inequality sign.
Unlike a linear equation it can have a range of values inside an interval.
Suppose the operating temperature be x.
Then, as per the question the absolute difference of the temperature and 190°F is within 10°F.
It can be written in the form of inequality as follows,
|x - 190| ≤ 10
⇒ x - 190 ≤ 10 and x - 190 ≥ -10
⇒ -10 ≤ x - 190 ≤ 10
⇒ -10 + 190 ≤ x ≤ 10 + 190
⇒ 180 ≤ x ≤ 200
Thus, the range of acceptable temperatures lie in [180, 200].
Hence, the absolute value of inequality and its solution are given by 180 ≤ x ≤ 200 and [180, 200] respectively.
To know more about linear inequality click on,
https://brainly.com/question/11897796
#SPJ2
work out the following product,giving your answer as product of prime factor in power a) of the following product is in your answer as a product of prime factor in power 480 x 175
Determine if the two triangles shown are similar. If so, write the similarity statement.
Options:
A) The triangles are not similar.
B) ΔVML ∼ ΔUTM
C) ΔVML ∼ ΔUMT
D) Impossible to determine.
Based on the SAS similarity theorem, the right option is: C) ΔVML ∼ ΔUMT.
How to Determine if Two Triangles are Similar?In order to determine if two triangles are similar, find out if the ratio fo their corresponding side lengths are equal, that is, their lengths must be proportional to each other if they are similar triangles.
What is the SAS Similarity Theorem?The SAS states that if two pairs of sides of two triangles are proportional to each other, and they have a pair of corresponding congruent included angles, then they are similar triangles.
Given the image showing the two triangles, we have the following measures:
VM = 14, which is corresponding to UM = 49
LM = 8, which is corresponding to TM = 28
VM/UM = 14/49 = 2/7
LM/TM = 8/28 = 2/7
This means the two sides are proportional.
Also, angles VML and UMT are congruent to each other based on the vertical angles theorem.
Therefore, we can state that the ΔVML ∼ ΔUMT by SAS. The right option is C.
Learn more about similar triangles on:
https://brainly.com/question/14285697
#SPJ1
hi can you help me? Tia went home and said to her mom, I learned that 10⁴ is the same as 40,000. She has made a mistake in her thinking. Use words, numbers, or a place value chart Tia correct her mistake.
Answer:
She was thinking of it as normal multiplication like 10 x 4 = 40. but the real answer is 10,000
Step-by-step explanation:
The pretzel shop usually sell an average of 11 original pretzels and 7 cinnamon pretzels each hour. If they sold 132 original pretzels today about how many cinnamon pretzels did they probably sell?
8b-4x+5 use b=-2 and x=-9
Simplified is?
Answer:
[tex]8b - 4x + 5 \\ \\ 8( - 2) - 4( - 9) + 5 \\ \\ - 16 + 36 + 5 \\ \\ = 25[/tex]
I hope I helped you^_^
Answer:
25
Explanation:
Evaluate [tex]8(-2)-4(-9)+5[/tex]
give 2/2 examples of finite,infiniteand empty sets
Answer:
[tex]finite \: set \: \\ 1) set \: of \: one \: digit \: whole \: number \\2) set \: of \: number \: of \: players \: in \: a \: cricket \: team \\ infinite \: set \\ 1)set \: of \: all \: whole \: numbers \\ 2) \: set \: o f \: all \: ponts \: in \: a \: line \\ empty \: set \\ 1)set \: of \: whole \: numbers \: between \: 1 \: and \: 2 \\ 2)set \: of \: prime \: numbers \: between \: 3\: and \: 5 \\ thank \: you[/tex]
What is 7 divided by -84
Answer:
7÷(-84)=(-12).........
The distance between Rose-Belle and Belle-Rose is 30 km.
A cyclist left Rose-Belle at 06 30 and reached Belle-Rose at 08 00 the same day. Calculate the average speed of the cyclist.!
[tex] \large \mathfrak{Solution : }[/tex]
Distance between the places is :
30 kmTime taken to cover that distance is :
1.5 hourAverage speed of the cyclist will be :
[tex] \dfrac{30}{1.5} [/tex][tex]20 \: \: kmph[/tex]Avg speed = 20 km / h
IF x=1, y= -3 ,find the value of 5x 2square + 3xy -y 2square .
Please help me in full details
Step-by-step explanation:
sorry man i wish i could help
Simplify the expression: 63(13−18)+24÷6
Answer:
-311
Step-by-step explanation:
If (x + 4)^2 = 49 and x <0, what is the value of x?
Answer:
x = - 11
Step-by-step explanation:
Take the square root of both sides.
sqrt(x+4)^2 = sqrt(49)
x + 4 = +/- 7
x + 4 = + 7
x = 3 Not what you want.
x + 4 = - 7
x = - 11
If u had powers what power would u have
Answer:
I would have psychic powers so I could have multiple powers.
Fraction: 1/11, Numerator: 1
Step-by-step explanation:
What least number should be subtracted from 45,632 so that the number is divisible by 100 (plzz answer)
Answer:
32
Step-by-step explanation:
I don't know if I am correct but if you subtract 32 from 45632 then you will get 45600 which is easily divisible by 100, so your answer is 32
(Geometry) help is appreciated
Answer:
21°
angles remain the same in dilutions but lengths don't
plss mark me brainliesttt
A 5000-seat theater has tickets for sale at $28 and $40. How many tickets should be sold at each price for a sellout performance to generate a total revenue of $153,200?
Answer:
There are 3,900 tickets of $28 each and 1,100 tickets of $40 each sold.
Step-by-step explanation:
x = the number of $28 tickets
y = the number of $40 tickets
x + y = 5000
28x + 40y = 153200
x = 3,900 tickets
y = 1,100 tickets
IV - SOLVING 1. Find the 7th term in the arithmetic sequence 6, 10, 16, ... Show your solution.
Step-by-step explanation:
the distance between 6 and 10 is 4, same distance between 10 to 16 is 6 by the way:
16+8=24
24+10=34
34+12=46
46+14=58 and 58 is 7th term in arithmetic sequence.
I hope it will help you.
Write the first five terms of a sequence that has 8 as its second term.
Step-by-step explanation:
im kinda busy can I answer your questions later??
Question is in picture
[tex]|2x|\geq1\\\\2x\ge1 \ \ \text{or} \ \ 2x\leq-1\\\\\huge\boxed{x\geq\frac{1}{2} \ \ \text{or} \ \ x\leq-\frac{1}{2}}[/tex]
A farmer plowed 9/10 of a acre in the morning and 1/2 of an acre in the afternoon. How many acres did the farmer plow in all?
Answer:
7/5
Step-by-step explanation:
Answer:
1[tex]\frac{2}{5}[/tex] of an acre or 1.4 acres.
Step-by-step explanation:
The least common multiple of 10 and 2 is 10.
Convert [tex]\frac{9}{10}[/tex] and [tex]\frac{1}{2}[/tex] to fractions with a denominator of 10.
[tex]\frac{9}{10}[/tex]+[tex]\frac{5}{10}[/tex]
Since these fractions now have the same denominator, add them by adding the numerators.
[tex]\frac{9+5}{10}[/tex]
Add 9 and 5 to get 14.
[tex]\frac{14}{10}[/tex]
Reduce the fraction to the lowest terms by extracting and canceling out 2.
[tex]\frac{7}{5}[/tex]= [tex]1\frac{2}{5}[/tex] =1.4
hope this helps!
Can I get a bit of help
she can count the number of row and the number of square in each row, or she can add 6 and 8