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Makovka662 [10]
3 years ago
12

SEA is rotated 270 about the origin

Mathematics
1 answer:
zimovet [89]3 years ago
5 0
You forgot to add a question
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Find the value of Theta in these diagrams (a and b)​
ZanzabumX [31]

a. θ = 36. 9°

b. θ = 114. 2°

<h3>How to determine the value of theta</h3>

a. We use the cosine identity

cos θ = adjacent/hypotenuse

Adjacent = 4cm

Hypotenuse = 5cm

cos θ = 4/ 5

cos θ = 0. 8

Now, we have the inverse of the cosine value

θ = cos^-1 (0. 8)

θ = 36. 9°

b. We use the tangent identity

tan a = opposite / adjacent

tan a = 3. 8/1. 7

tan a = 2. 23

a = tan^-1 ( 2. 23)

a = 65. 8

We have;

a + θ = 180 °; angles on a straight line

θ = 180 - 65. 9

θ = 114. 2°

Learn more about trigonometric identities here:

brainly.com/question/7331447

#SPJ1

5 0
1 year ago
What is 38% of 232? around to the nearest tenth.
max2010maxim [7]

Answer: 88.2

..........................

4 0
3 years ago
A ladder of length 2x+1 feet is positioned against a wall such that bottom is x-1 feet away from a wall. The distance between th
Natali5045456 [20]
So leangh of ladder=2x+1

bottom edgre=x-1
wall edge=2x

so therefor, since this is a right triangle, use pythagorean theorem
a^2+b^2=c^2
c=hypotonues=longest side
b and a=sides touching the right angle

so x-1 and 2x are a and b
2x+1=c

subsitute
(x-1)^2+(2x)^2=(2x+1)^2
x^2-2x+1+4x^2=4x^2+4x+1
add like terms
5x^2-2x+1=4x^2+4x+1
subtract 1 from both sdies
5x^2-2x=4x^2+4x
subtract 4x from both sdies
5x^2-6x=4x^2
subtract 4x^2 from both sides
x^2-6x =0
factor out the x using distributive property which is
ab+ac=a(b+c)
x^2-6x=x(x-6)
(x)(x-6)=0

if xy=0 then assume x and/or y=0
x=0
we remember that one of the side legnths is 2x and if x=0 then the side legnth=0 which is not possible, so we discard

x-6=0
add 6 to both sides
x=6

subsitute and solve


legnth of ladder=2x+1
x=6 subsitute
2(6)+1=12+1=13
legnth of ladder =13 feet

height=2x
2(6)=12
height=12 feet

base=x-1
6-1=5



legnth of ladder=13 feet
height=12 feet
base=5 feet
6 0
3 years ago
Read 2 more answers
PLEASE HELP ME I NEED HELP THIS IS IMPORTANT PLEASE HELP I WILL GIVE YOU BRAINLIEST IF YOU ANSWER I JUST NEED SOMEONE TO ANSWER
mr_godi [17]

Answer:

54

Step-by-step explanation:

divide 162 by 3 because thats the number each term is being multiplied by.

5 0
3 years ago
Simplify. Consider all cases. |14−(x−6)|
yanalaym [24]

Answer:

20-x; -20+x; -20-x; 20+x

Step-by-step explanation:

|14-x+6|

|20-x|

20-x; -20+x; -20-x; 20+x

4 0
3 years ago
Read 2 more answers
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