When using substitution method to solve the following system of equations, what is the result of the first step ? x +2y=5 y=6x+3

Answer:

x = 12.3

y = 15.9

Step-by-step explanation:

Apply trigonometric ratio to find x and Reference angle = 51°

Opposite side length = x

Adjacent side length = 10

Hypotensive length = y

✔️To find x, apply TOA:

Tan 51° = Opp/Adj

Tan 51° = x/10

x = Tan 51° × 10

x = 12.3 (nearest tenth)

✔️To find y, apply CAH:

Cos 51° = Adj/Hyp

Cos 51° = 10/y

y × Cos 51° = 10

Divide both sides by Cos 51

y = 10/Cos 51

y = 15.9 (nearest tenth)

Answer:

1/3, 0.10

Step-by-step explanation:

Rational numbers can be expressed as a fraction of two integers.

1/3 is rational. When it is expressed as a fraction, it's 1/3. 1 is an integer, and 3 is an integer

0.10 is rational. It can be rewritten to be expressed as the fraction 1/10; 1 is an integer, and 10 is an integer.

.[tex]\pi[/tex] is irrational, because when expressed as a fraction, it is 1/[tex]\pi[/tex]. 1 is an integer, but [tex]\pi[/tex] is not. Both numbers need to be integers in order to be rational. Therefore, it is irrational

√2 is irrational. When expressed as a fraction, it's √2/1. √2 is not an integer. 1 is an integer. However, both numbers have to be integers in order to be rational. Therefore, √2 is not rational.

Answer:

5 hours

Step-by-step explanation:

275 mi/(55mi/h)=5h

or to put it simply 275/55=5

Answer:

The ball is in the air for about 5.873 seconds.

Step-by-step explanation:

The function:

[tex]f(x)=-5x^2+20x+55[/tex]

Models the height of a ball x seconds after it is thrown in the air.

And we want to find the total time the ball is in the air.

So, we can simply find the time x at which the ball lands. If it lands, its height f above the ground will be 0. Thus:

[tex]0=-5x^2+20x+55[/tex]

We will solve for x. Dividing both sides by -5 yields:

[tex]0=x^2-4x-11[/tex]

The equation is unfactorable, so we can use the quadratic formula:

[tex]\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

In this case, a = 1, b = -4, and c = -11. So:

[tex]\displaystyle x=\frac{-(-4)\pm\sqrt{(-4)^2-4(1)(-11)}}{2(1)}[/tex]

Evaluate:

[tex]\displaystyle\begin{aligned} x&=\frac{4\pm\sqrt{16+44}}{2}\\&=\frac{4\pm\sqrt{60}}{2}\\&=\frac{4\pm2\sqrt{15}}{2}\\&=2\pm\sqrt{15}\end{aligned}[/tex]

Approximate:

[tex]x_1=2+\sqrt{15}\approx5.873\text{ or } x_2=2-\sqrt{15}\approx-1.873[/tex]

Since time cannot be negative, our only solution is the first choice.

So, the ball is in the air for about 5.873 seconds.

Answer:

1=80%

2=44%

3=11%

4=15

5=30%

6=21%

7=2%

8=9%

Step-by-step explanation:

Hopefully they are all correct but I tried my best

The graph that shows an even function is the fourth image.

This refers to the type of function where f(x)=f(−x) has an unchanged value even if the sign of the independent variable was in reciprocals.

Hence, we can see that from the given images of graphs, we can see that the other options do not have a symmetrical axis with respect to the y-axis, but option D has symmetry with the y-axis.

Read more about even functions here:

https://brainly.com/question/3964641

#SPJ2

Answer:

41.51

Step-by-step explanation:

cos(41)=x/55

x=cos(41)*55≈41.51

i think the answer is option b

Answer:

=2xy²+2x²y

Step-by-step explanation:

Delete the parenthesis of both operations.

= x²y - 3y² + 5xy² + x²y - 3xy² - 3y²

Then you have to make the simplification

= 2xy²+2x²y

Answer:

6a=6.a I think is true cause it's like the same thing

Answer:

Step-by-step explanation:

Use Intersecting chords theorem and find x:

Find KM:

Step-by-step explanation:

➡JU×LU=MU×KU

➡10×2x=9(2x+2)

➡20x=18x+18

➡20x-18x=18

➡2x=18

➡x=18/2

➡x=9

KM=KU+UM

➡KM=9+2(9)+2

➡KM=9+18+2

➡KM=29

Answer:

An interval that will likely include the proportion of students in the population of twelfth-graders who carry more than $15 is 960

Step-by-step explanation:

For example, Condition 1: n(.05)≤N

• The sample size (10) is less than 5% of the population (millions of musicians), so

the condition is met.

• Condition 2: np(1-p)≥10

• =

2

10

= .2

• 1 − = 10 .2 1 − .2 = 1.6 . This is less than 10 so this condition is not

met.

It would not be practical to construct the confidence interval.

Answer:

33°

Step-by-step explanation:

<ACD =90-33 =57°

<DCB=<ACB - <ACD

=90° -57 =33°

In triangle ACD the only angle that has not been found is <ACD so you find it by adding 90+33 and subtracting from 180° to get 57°. <ACB =90° and <ACD = 57° ,the angle in question is<DCB which is part of< ACB. So to get <DCB you do 90°-57°=33°.

B = 180 - 90 - 33 = 57°

C in DCB tringle = 180 - 90 - 57 = 33°

So C in DCB triangle = 33°

Answer:

d

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

edge 2020/21

Answer:

23.225%

Step-by-step explanation:

Runtime in June (x1) = 7:45 = (7 * 60) + 45 = 465

Runtime in September (x2) = 5:57 = (5*60)+57 = 357

Percentage change in Runtime :

[|x2 - x1|÷ x1] * 100%

[|357 - 465| ÷ 357] * 100%

108 / 465 * 100%

0.23225 * 100%

= 23.225%

Answer:

6 elephants + 15 tigers

Step-by-step explanation:

(Im assuming that the animals are meant to be variables)

X = elephants, y = tigers

2x + 15y + 4x

Combine like terms: 2x + 4x +15y

Simplify: 6x + 15y

Answer:

115

Step-by-step explanation:

It looks like 115 degrees

Answer:

115 degrees

Step-by-step explanation:

Answer:

972 u³

Step-by-step explanation:

The radius is 9 . We can use formula ,

⇒ V = 4/3 π r³

⇒ V = 4/3 × π × 9³

⇒ V = 4 × π × 81 × 3

⇒ V = 972 unit³

Answer:

B) 8 to 12 years of experience. Enjoy the answer

Step-by-step explanation:

Answer:

$40,000 to $60,000 annual salary

Step-by-step explanation:

A cluster is formed when several data points lie in a small interval. The range of the cluster is the set of y-coordinates.

Answer: 7pi

Step-by-step explanation:

To find the circumference do radius (d/2)*2*pi

substitute 7*pi

7pi

Answer:

987 milmeters equal to 98.7 centimeters

Step-by-step explanation:

To figure these kinds of problems divide the millimeter by 10 and you will get the centimeter value.

Hope that helps!

Answer:

I dont know about Sherelle, but Venita's grandmother can give a reason that as she is from older age, most probably, the coin can be in her bag...... And the coin, according to me will be in grandmother's bag....

Hope it helps!!!

Answer:

D. 30%?

I'm not 100% sure but I think its D. Sorry if it's wrong.

Answer:

24

Step-by-step explanation:

First, start off by subtracting the cost of the coffee ($5.96) from the total cost of $32.12. This would give you $26.16. From here, if you multiply 24 by the cost of each doughnut  ($1.09) you would get $26.16 which is the total amount of money that was spent on doughnuts. Miss Solan bought 24 doughnuts.

Answer:

(1,-1)

Step-by-step explanation:

The solution is where the two graphs cross.

The two lines cross at x=1 and y = -1

(1,-1)

Answer:

y = x² + 1

Step-by-step explanation:

y = x² + 1

When x = -3

y = -3² + 1

y = 9 + 1 = 10

When x = -1

y = x² + 1

y = -1² + 1

y = 1 + 1 = 2

When x = 0

y = x² + 1

y = 0² + 1 = 1

When x = 2

y = x² + 1

y = 2² + 1

y = 4 + 1 = 5

All of the x and y values have been correct

Answer:

A

Step-by-step explanation:

the others will not produce the correct value for the image ((y)), if you replace the incognito x in the equation by the -3, you can see that you only obtain the result 10 for y in the first equation. you don't even need to test all the cases.

-3.-3 +1 = 10

-3.-3 + 2 = 11

-3.-3 -1 = 8

-3.-3 -3 = 6

Answer:

The Answer's no i believe

Answer:

I think yes

Step-by-step explanation:

If im wrong i am very sorry!

Answer:

2

Step-by-step explanation:

Count the spins

Given:

The length of diagonals of a rhombus are 12 ft and 5 ft.

To find:

The area of the rhombus

Solution:

Area of a rhombus is:

[tex]Area=\dfrac{d_1d_2}{2}[/tex]

Where, [tex]d_1,d_2[/tex] are two diagonals of the rhombus.

It is given that the length of diagonals of the rhombus are 12 ft and 5 ft.

Putting [tex]d_1=12,d_2=5[/tex], we get

[tex]Area=\dfrac{12\times 5}{2}[/tex]

[tex]Area=\dfrac{60}{2}[/tex]

[tex]Area=30[/tex]

Therefore, the area of the rhombus is 30 square ft.

Answer:

4 if not im SUPER sorry!!!!!!!!

Step-by-step explanation: