Solve for


9
19
17
None of the above
Other:​

Answer:

i. a = 8.7, b = 7.1 and c = 11.2

ii. A = [tex]50.7^{o}[/tex], B = [tex]39.3^{o}[/tex] and C = [tex]90^{o}[/tex]

Step-by-step explanation:

Given a right triangle with, b = 7.1 and B = [tex]39.3^{o}[/tex].

I. Applying the trigonometric function to determine leg a, we have;

Tan θ = [tex]\frac{opposite}{adjacent}[/tex]

Tan [tex]39.3^{o}[/tex] = [tex]\frac{7.1}{a}[/tex]

a = [tex]\frac{7.1}{Tan 39.3^{o} }[/tex]

  = 8.675

The length of leg a is 8.7.

ii. To determine leg c,

Sin [tex]39.3^{o}[/tex] = [tex]\frac{opposite}{hypotenuse}[/tex]

              = [tex]\frac{7.1}{c}[/tex]

⇒c = [tex]\frac{7.1}{Sin39.3^{o} }[/tex]

     = 11.21

The length of leg c is 11.2.

iii. Given that: B = [tex]39.3^{o}[/tex] and C = [tex]90^{o}[/tex]

Then,

A + B + C = [tex]180^{o}[/tex]  (sum of angles at a point)

A + [tex]39.3^{o}[/tex] + [tex]90^{o}[/tex] = [tex]180^{o}[/tex]

A + [tex]129.3^{o}[/tex] = [tex]180^{o}[/tex]

A = [tex]180^{o}[/tex] - [tex]129.3^{o}[/tex]

  = [tex]50.7^{o}[/tex]

Answer:

y=7/4x+9/4

Step-by-step explanation:

You want to find the equation for a line that passes through the two points:

(1,4) and (-3,-3).

First of all, remember what the equation of a line is:

y = mx+b

Where:

m is the slope, and

b is the y-intercept

First, let's find what m is, the slope of the line...

The slope of a line is a measure of how fast the line "goes up" or "goes down". A large slope means the line goes up or down really fast (a very steep line). Small slopes means the line isn't very steep. A slope of zero means the line has no steepness at all; it is perfectly horizontal.

For lines like these, the slope is always defined as "the change in y over the change in x" or, in equation form:

So what we need now are the two points you gave that the line passes through. Let's call the first point you gave, (1, 4), point #1, so the x and y numbers given will be called [tex]x_1[/tex] and [tex]y_1[/tex]. Or,

Also, let's call the second point you gave, (-3,-3), point #2, so the x and y numbers here will be called [tex]x_2[/tex] and [tex]y_2[/tex]. Or,

Now, just plug the numbers into the formula for m above, like this:

m=  

[tex]\frac{-3-4}{-3-1}[/tex]

m= 7/4

So, we have the first piece to finding the equation of this line, and we can fill it into y=mx+b like this:

y=7/4x+b

Now, what about b, the y-intercept?

To find b, think about what your (x,y) points mean:

(1,4). When x of the line is 1, y of the line must be 4.

(-3,-3). When x of the line is -3, y of the line must be -3.

Because you said the line passes through each one of these two points, right?

Now, look at our line's equation so far: y=7/4x+b. b is what we want, the 7/4 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specifically passes through the two points (1,4) and (-3,-3).

So, why not plug in for x and y from one of our (x,y) points that we know the line passes through? This will allow us to solve for b for the particular line that passes through the two points you gave!.

You can use either (x,y) point you want..the answer will be the same:

(1,4). y=mx+b or 4=7/4 × 1+b, or solving for b: b=4-(7/4)(1). b=9/4.

(-3,-3). y=mx+b or -3=7/4 × -3+b, or solving for b: b=-3-(7/4)(-3). b=9/4.

See! In both cases we got the same value for b. And this completes our problem.

The equation of the line that passes through the points

(1,4) and (-3,-3)

is

y=7/4x+9/4

Answer:

6

Step-by-step explanation:

Straight line is 180

square = right angle=90

180-90=90

5x+(x+54)=90

6x+54=90

6x=36

x=6

Hope this helps :D

Answer:

i know i stole im trying to level up sorry

Step-by-step explanation:

Answer:

Step-by-step explanation:

iuef ousdfsbhhdfsd

Answer:

Jeremy is correct

Step-by-step explanation:

Marcus and Jeremy both evaluated the expression −5^2 + 3. Marcus said the answer was −22. Jeremy said the answer was 28. Who is correct? Explain the error in the other student's work.

Marcus is wrong

This is because, Marcus calculated:

-5^2 + 3

= -25 + 3

= -22

This is wrong because it did not follow the rules which states that:

- × - = +

Jeremy calculation is shown below:

-5^2 + 3

-5 × -5 + 3

= 25 + 3

= 28

Jeremy is correct

Answer:

y = mx + b

Step-by-step explanation:

Answer:

its 12084

Step-by-step explanation:

on my test

Variance is the measurement of the spread between numbers in a given set of data.

The variance for the set is 12083.929

It is the measurement of the spread between numbers in a given set of data.

We have,

3, 33, 303, 233, 3, 73, 83, 63

The formula to find variance:

Find the means of the set of data.

Find the deviation of the set of data from the mean.

Find the sum of the squares of the mean deviations.

Divide the sum of the squares of the mean deviations by (n-1)

where n is the number of data in the set.

The mean:

= (3 + 33 + 303 + 233 + 3 + 73 + 83 + 63) / 8

= 794/8

= 99.25

Deviation from the mean:

3 - 99.25 = -96.25

33 - 99.25 = -66.25

303 - 99.25 = 203.75

3 - 99.24 = -96.25

73 - 99.25 = -26.25

83 - 99.25 = -16.25

63 - 99.25 = -36.25

The sum of the squares of Mean deviation:

= 9264 + 4389 + 41514 + 9264 + 689 + 264 + 1314

= 84587.5

The variance:

= 84587.5 ÷ (8 - 1)

= 84587.5 / 7
= 12083.929

Thus,

The variance for the set is 12083.929

Learn more about variance here:

https://brainly.com/question/13708253

#SPJ2

Answer:

56 cm

Step-by-step explanation:

Answer:

Step-by-step explanation:

We are expected to compute the warmest temperature recorded at Minneapolis

Step one:

We are told that on January 30th of 2019 was the coldest day at Minneapolis

hence the temperature reading= -28F------this is like 28 points away from 0 on the number line

Step two:

We are given that the warmest temperature recorded is 15F higher.

since the -ve sign represent cold or snowy weather, the warm temperature

is gotten by adding 15F to the negative temperature

=-28+15

= -13F

The warmest temperature was -13F

Answer:

the picture isnt there

Step-by-step explanation:

Answer:

The picture is just a black photo...

Step-by-step explanation:

Your Welcome!

Brainliest Appreciated!

Answer:

no solution, these are parallel lines b/c same slope

Step-by-step explanation:

rewrite first one to = y : y = 3x + 10

3x + 10 = 3x - 6

Answer:

sin( 61) = x/55

55(sin(61)) = x

48.1 = x

Hope this helps!

To calculate the perimeter of an isosceles triangle, the expression 2s + b is used, where s represents the length of the two congruent sides and b represents the length of the base.

I may not know the answer but I know how to get it just follow the rule. Sorry if I didn’t help.

Answer:

7.87X10^3

Step-by-step explanation:

^ means to the power of

Answer:

29.40-19.80=9.6

9.6/6=1.6

So the answer is $1.60

Step-by-step explanation:

Answer:

She must have earned 16 dollars

Step-by-step explanation:

Answer:

15 quarts

Step-by-step explanation:

Answer:

If kyle keeps the money in the account for 4 years, the new balance is $1,417.37.

Step-by-step explanation:

You can use the formula to calculate the future value to find the money in the account after 4 years:

FV=PV*(1+i)^n

FV= future value

PV= present value=$1,200

i= interest rate=4.25%=0.0425

n=number of periods of time=4

FV=1,200*(1+0.0425)^4

FV=1,200*(1.0425)^4

FV=1,417.37

According to this, the answer is that if kyle keeps the money in the account for 4 years, the new balance is $1,417.37.

Answer: ayo

Answer:

A

Step-by-step explanation:

trust

Answer:

y=3x+8

Step-by-step explanation:

Answer:

M(4, 3 )

Step-by-step explanation:

Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

( [tex]\frac{x_{1}+x_{2} }{2}[/tex] , [tex]\frac{y_{1}+y_{2} }{2}[/tex] )

Here (x₁, y₁ ) = A(7, 4) and (x₂, y₂ ) = B(1, 2) , thus

M  = ([tex]\frac{7+1}{2}[/tex], [tex]\frac{4+2}{2}[/tex] ) = ( [tex]\frac{8}{2}[/tex], [tex]\frac{6}{2}[/tex] ) = (4, 3 )

Answer:

B 4/3

Step-by-step explanation:

3^32^9/3^42^7

B 4/3

Answer:

20

Step-by-step explanation:

since al = lb because it is midsegment and lb = 20 so AL = 20

Answer:

Step-by-step explanation:

rational

Answer:

Rational

Explanation:

18/42 is 4.258 which is a rational number

Answer:

Slope = -2, y-intercept = 12 (b)

Step-by-step explanation:

Using the slope formula:

slope = change in y (y2-y1) / change in x (x2-x1)

slope = (12-18)/(0+3)

slope = -6/3

slope = -2

The slope is -2

If you look in the table, when x=0, the y value equals 12. This means that the y-intercept = 12, since the y-intercept is when the x equals 0. Thus we have our answer.

Answer:

$8.00 Even

Step-by-step explanation: