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jasenka [17]
3 years ago
10

3 parts List the ratios using angle A as the angle of reference reduce when necessary

Mathematics
2 answers:
Alex3 years ago
6 0

Answer:

Step-by-step explanation:

sin J=42/58=21/29

cos J=40/58=20/29

tan J=42/40=21/20

Inga [223]3 years ago
4 0
Answer:

Sin J= 42/58= 21/29
Cos J= 40/58= 20/29
Tan J= 42/40= 21/20

Explanation:
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Two students solved the same multi-step equation. Which student is correct? Explain the error. Student A Student B 2x - 4(3x + 6
Gnom [1K]

Answer:

Student B is correct

Student A failed to distribute -4 and -6 when opening the brackets in the first step

Step-by-step explanation:

The solution Student A gave was:

2x - 4(3x + 6) = -6(2x + 1) - 4

2x - 12x + 6 = -12x + 1 - 4

-10x + 6 = -12x - 3

2x = -9

x = -4 _1 2 ( -4 1/2)

The solution Student B gave was:

2x - 4(3x + 6) = -6(2x + 1) - 4

2x - 12x - 24 = -12x - 6 - 4

-10x - 24 = -12x - 10

2x = 14

x = 7

Student B is correct.

Explanation of the error:

Student A failed to distribute -4 and -6 when opening the brackets in the first step.

That is,

2x - 4(3x + 6) = -6(2x + 1) - 4

To open this bracket, we will distribute, -4 and -6 so that we get

2x (-4 × 3x) + (-4 × +6) = (-6×2x) + (-6 × +1) - 4

Then we will get

2x -12x -24 = -12x -6 -4

Adding the like terms

-10x - 24 = -12x - 10

Collecting like terms

-10x + 12x = -10 + 24

∴ 2x = 14

x = 14 / 2

Hence,

x = 7

8 0
2 years ago
The sum of two numbers is ten. the difference between them is 8 . find the two numbers
alexira [117]

x+y=10

x-y=8, x=y+8

y+8+y=10

2y=2

y=1

So, x=10-y=10-1=9.

Numbers Would be 9 and 1.


3 0
3 years ago
Solve for a 2.5+5a=3a+10.5
Oksi-84 [34.3K]

Answer:

a = 4

Step-by-step explanation:


4 0
3 years ago
Read 2 more answers
A population of a particular yeast cell develops with a constant relative growth rate of 0.4225 per hour. The initial population
Ksju [112]

Answer: The population after 3 hours is 13.9 mill.

Step-by-step explanation:

When we have an exponential with:

A  = initial population.

r = constant relative growth rate:

t = time.

The function that models this is:

P(t) = A*e^(k*t)

In this case we know that:

A = 3.9 mill.

r = 0.4225 1.

Then the function that models the population of this yeast cell is:

P(t) = (3.9 mill)*e^(0.4225*t)

where t represents the time in hours.

Then if we want to know the population after 3 hours, we should replace t by 3.

P(3) = (3.9 mill)*e^(0.4225*3) = 13.85 mill.

And we want to round our answer to one decimal place, then we must look at the second decimal place, we can see that is a 5, so we should round up.

The population after 3 hours is 13.9 mill.

8 0
3 years ago
-4x+3x<4 what is the awenswer to this equation
AlladinOne [14]

Answer:

X > -4

Step-by-step explanation:

Collect the like terms which literally leaves you with -x<4

Then just changes the signs, hence the answer.

Please mark brainliest!

6 0
2 years ago
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