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mixer [17]
3 years ago
6

*70 points* HELPP EASY MATH SOH CAH TOA

Mathematics
2 answers:
Snowcat [4.5K]3 years ago
5 0

Step-by-step explanation:

As truangle is right angled ,

sinB = 2/3

B = 41.8

Zinaida [17]3 years ago
3 0

From right \triangle ABC, we have \sin B=\frac{AC}{AB}=\frac{2}{3}. Using a calculator, we find \angle B=\arcsin\frac{2}{3}\approx\boxed{41.81^\circ}. Since \angle B is acute, this answer is correct, as this lies within the range of the arcsine function.

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Help please!posted picture of question
Evgen [1.6K]
The region is in the first quadrant, and the axis are continuous lines, then x>=0 and y>=0
The region from x=0 to x=1 is below a dashed line that goes through the points:
P1=(0,2)=(x1,y1)→x1=0, y1=2
P2=(1,3)=(x2,y2)→x2=1, y2=3
We can find the equation of this line using the point-slope equation:
y-y1=m(x-x1)
m=(y2-y1)/(x2-x1)
m=(3-2)/(1-0)
m=1/1
m=1
y-2=1(x-0)
y-2=1(x)
y-2=x
y-2+2=x+2
y=x+2
The region is below this line, and the line is dashed, then the region from x=0 to x=1 is:
y<x+2 (Options A or B)

The region from x=2 to x=4 is below the line that goes through the points:
P2=(1,3)=(x2,y2)→x2=1, y2=3
P3=(4,0)=(x3,y3)→x3=4, y3=0
We can find the equation of this line using the point-slope equation:
y-y3=m(x-x3)
m=(y3-y2)/(x3-x2)
m=(0-3)/(4-1)
m=(-3)/3
m=-1
y-0=-1(x-4)
y=-x+4
The region is below this line, and the line is continuos, then the region from x=1 to x=4 is:
y<=-x+2 (Option B)

Answer: The system of inequalities would produce the region indicated on the graph is Option B

8 0
3 years ago
Which simplifications of the powers of i are correct? There is more than one correct answer.
IrinaVladis [17]
The first four equations are correct. The remaining 4 equations are incorrect. See the attached screenshot for a detailed breakdown of why the last four equations are incorrect. 

6 0
3 years ago
WHat is the greatest common factor (GCF) of 9 and 27
xxTIMURxx [149]

Answer:

9

Step-by-step explanation:

9/9=1

27/9=3

5 0
3 years ago
tickets for a cinema costs £4 and £5. There were 223 customers who paid a total of £936. How many bought £4 tickets
noname [10]

The number of people who bought £4 tickets are 139.

<h3>How to illustrate the equation?</h3>

Let £4 tickets be x

Let £5 tickets be y.

Therefore based on the information given, this will be:

x + y = 223 ..... i

4x + 5y = 936 ..... ii

From equation i

x = 213 - y

Put this into equation ii

4x + 5y = 936

4(213 - y) + 5y = 936

852 - 4y + 5y = 936

Collect like terms

y = 84

This implies that the number of £5 tickets is 84.

Recall that x + y = 223

x + 84 = 223

x = 223 - 84

x = 139

The number of £4 tickets is 139

Learn more about equations on:

brainly.com/question/2972832

#SPJ1

3 0
1 year ago
Helppppppppppppppppppppppp
PolarNik [594]
Answer:
The second choice is the correct one

Explanation:
(2x+3)^2 + 8(2x+3) + 11 = 0
To use the u substitution, we will assume that:
2x + 3 = u

Substitute with this in the given expression, we will get:
u^2 + 8u + 11 = 0 

The general form of the second degree equation is:
ax^2 + bx + c = 0

Comparing the expression we reached with the general one, we will find that:
a = 1
b = 8
c = 11

The roots can be found using the rule found in the attached picture.
This means that, for the given expression:
u = -4 ± √5 

Now, we have:
u = 2x+3
This means that:
at u = -4 + √5 
2x + 3 = -4 + √5 
2x = -7 + √5
x = (-7 + √5) / 2

at u = -4 - √5 
2x + 3 = -4 - √5 
2x = -7 - √5
x = (-7 - √5) / 2

This means that, for the given expression:
x = (-7 ± √5 ) / 2

Hope this helps :)

7 0
3 years ago
Read 2 more answers
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