Find tan A for the triangle below. A right triangle. The hypotenuse is 24.19, the side opposite to angle A is 12, and the side adjacent to angle A is 21.

a. 0.868
b. 0.496
c. 1.75
d. 0.5714

A quadratic equation is written in the form of ax²+bx+c. The roots of the given quadratic equation are shown in options B and F.

A quadratic equation is an equation whose leading coefficient is of second degree also the equation has only one unknown while it has 3 unknown numbers. It is written in the form of ax²+bx+c.

The roots of a quadratic equation can be found using the formula,

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

Given the quadratic equation 3x²-x+5 = 0. Comparing it with the general quadratic equation the value of a, b, and c will be 3, -1, and 5.

Now, if we substitute the values in the formula of the roots of the quadratic equation,

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

[tex]x = \dfrac{-(-1) \pm \sqrt{(-1)^2 - 4(3)(5)}}{2(3)}\\\\[/tex]

x = (1±√-59)/6

x = (1+√-59)/6, (1-√-59)/6

Hence, the roots of the given quadratic equation are shown in options B and F.

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Answer:

A. 3

Step-by-step explanation:

I just did it on a calculator and got it correct

Answer:

C.

Step-by-step explanation:

The answer should be less than 15 for x since its the smallest side and C is the only answer that has that.

Answer:

x = 16

Step-by-step explanation:

7x - 12 + 5x = 180

12x = 192

x = 16

Answer:

x = 16

Step-by-step explanation:

180 = (7x-12) + 5x

192 = 12x

16 = x

Answer:

d = 8

Step-by-step explanation:

For:

(X1, Y1) = (-4, 5)

(X2, Y2) = (-12, 5)

Distance Equation Solution:

d=(−12−(−4))2+(5−5)2−−−−−−−−−−−−−−−−−−−−√

d=(−8)2+(0)2−−−−−−−−−−√

d=64+0−−−−−√

d=6–√4

d=8

Therefore, the distance between (-4,5), (-12,5) is 8.

Answer:

D. 2r = 16

Step-by-step explanation:

r/2 = 16, r=32

8= r/8,    r=64

4r=16,     r=4

2r=16

/2    /2

r=8

Answer:

-C

Step-by-step explanation:

3(C - 2d) - 2(2C - 3d).

Distribute

3C - 6d  - 4C +6d

Combine like terms

3C -4C  -6d +6d

-C

Answer:

-C

Step-by-step explanation:

3(C - 2d) - 2(2C - 3d) =

= 3C - 6d - 4C + 6d

= 3C - 4C - 6d + 6d

= -C

Answer:

Skewed Right

Step-by-step explanation:

Answer:

D. 72 + (5x + 8) = 180, x = 20.

Step-by-step explanation:

Supplementary angles are angles that add up to 180, so the equation would be 72 + (5x + 8) = 180.

Now here, to find the value of x, solve for x.

72 + (5x + 8) = 180

5x + 8 = 108

5x = 100

x = 20

Your answer is D, 72 + (5x + 8) = 180, x = 20.

Answer:

3%

Step-by-step explanation:

The formula for simple interest is I = PRT, where I = interest earned/paid, P = principal amount deposited or borrowed, R = rate of interest as a decimal, and T = time in years.

I = PRT

30 = (1000)(R)(1)

30 = 1000R

R = 0.03

Multiply by 100 to get the percentage of 3%

Answer:

140 lunch items

Step-by-step explanation:

The unit ratio is 5:2

So if we take that and multiply it by 20 we get 100:40. 100+40 is 140

Answer:

140

Step-by-step explanation:

well if there is 25 hamburgers to 10 hot dogs, than 25 times four is 100 and 10 times four is 40 so 140 but i dont know if i did it right

Answer:

It should be 115.2 meters^3

Step-by-step explanation:

Volume = 1/3 a^2h

             = 1/3 x 12^2 x 2.4

             = 115.2 m ^3

Answer:

x=30. y=60

Step-by-step explanation:

DG is a straight segment so it sums to 180 degrees. ECG is a right angle so 90 degrees. The rest is described as 2x and x. So 3x=90 degrees. x=30. Eh is also a straight segment. since we know x, we know that ECD is 60 degrees. So y+y=120 degrees. 2y=120. y=60.

Answer:

A. 57.8°

Step-by-step explanation:

Reference angle = θ

Length of hypotenuse = 15

Length of adjacent side = 8

Recall, SOHCAHTOA.

Thus, apply CAH to find θ.

Cos θ = Adj/Hyp

Cos θ = 8/15

θ = Cos^{-1}(8/15)

θ = 57.7690474° = 57.8°

Answer:

The correct options are a and c.

Step-by-step explanation:

Confidence interval:

A confidence interval is given by the sample proportion plus/minus the margin of error. This means that the confidence interval is symmetric, that is, the difference between the upper bound and the sample proportion has to be the same as the difference between the sample proportion and the lower bound.

Sample proportion is 0.55

So options for the confidence interval are:

Lower bound - upper bound

0.54 - 0.56

0.53 - 0.57(which means that option b is wrong)

0.52 - 0.58(which means that option c is right)

...

0.5 - 0.6(which means that option a is right).

The correct options are a and c.

The confidence interval is the range of value between which the true population proportion would lie given a certain margin of error. Hence the correct options are A and C

Hence, the upper and lower boundary would the same error value above and below the mean proportion.

Evaluating the options given :

Error below = 0.50 - 0.55 = -0.05

Error above = 0.60 - 0.55 = 0.05

Error below = 0.53 - 0.55 = -0.02

Error above = 0.59 - 0.55 = 0.04

Error below = 0.52 - 0.55 = -0.03

Error above = 0.58 - 0.55 = 0.03

Error below = 0.60 - 0.55 = 0.05

Error above = 0.70 - 0.55 = 0.15

Error below = 0.45 - 0.55 = -0.10

Error above = 0.60 - 0.55 = 0.05

Therefore, the only options with equal margin of error, above and below the mean are options A and C.

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Answer:

y=5x

Step-by-step explanation:

first, we know that a rising line's slope is always positive, so the first one is incorrect

let's figure out the slope: y-y'/x-x' is the formula.

now, -5-5/-1-1= -10/-2= 5. so the slope of this line is 5.

Answer:

log3x

Step-by-step explanation:

i think it would be y=log3x

Answer:

Number 4 is a right triangle whether 3 isnt.

Step-by-step explanation:

I just know this because a right triangle is always gonna have a 90 degree angle whether that number 3 doesnt have one

Answer: [tex]x=13[/tex], one base angle measures [tex]74^{\circ}[/tex]

Step-by-step explanation:

The base angles of an isosceles triangle are congruent, so:

Hence, the measure of one base angle is [tex]5(13)+9=\boxed{74^{\circ}}[/tex]

Answer:

Step-by-step explanation:

The chord and the segment between the centers form the diagonals of a kite with each pair of side being the radius of the circles.

As we know the long diagonal bisects the shorter one and they are perpendicular.

Using Pythagorean, lets find the distance between the center of a greater circle and the chord:

The distance from the center of smaller circle and the chord is:

Now using Pythagorean again, find the radius of the smaller circle:

Answer:

the second one

Step-by-step explanation:

Answer: Second one

Step-by-step explanation: Because when the plus times the minus it will stay minus.

Answer:

culeous

Step-by-step explanation:

because it gives particular figured area

\

What the person above me said. :)

9514 1404 393

Answer:

  4/5 acre

Step-by-step explanation:

We assume your allocations are ...

  goats: 3/5 acre

  pigs: 1/5 acre

  llamas: 2/5 acre

2 acres is 10/5 acres, so the remaining area is ...

  10/5 -3/5 -1/5 -2/5 = (10 -3 -1 -2)/5 = 4/5

4/5 acre is allocated to horses.

Answer:

y = ⁷/5x + 13/10

Step-by-step explanation:

Recall: equation in slope-intercept form is given as y = mx + b

Thus, let's rewrite 14x - 10y = -13 in this form.

14x - 10y = -13

Add -14x to both sides

-10y = -14x - 13

Divide both sides by -10

-10y/-10 = -14x/-10 - 13/-10

y = ⁷/5x + 13/10

Answer:

6,912 i think that's the answer I'm not sure though

Step-by-step explanation:

Answer:

[tex]8,400in^2[/tex]

Step-by-step explanation:

Area of Trapezoid: [tex]A=h(\frac{b1+b2}{2} )[/tex]

Given: B1, B2 and h

B1 = 18 in

B2 = 24

h = 16 in

Substitute variables for the give numbers:

[tex]A=16(\frac{18+24}{2} )\\A = 336 in^2[/tex]

The 336 in is for one desk, and they want you to find 25 desks. So multiply 336 and 25.

[tex]x = 25(336)\\x = 8,400in^2[/tex]

Answer:

B

Step-by-step explanation:

3/8 + 2/8 = 5/8

The fourth option is indeed correct on Edge 2021.

The graph that represents the system of nonlinear inequalities is graph (a)

The nonlinear inequalities are given as:

[tex]y \le x^2 - 1[/tex]

[tex]x > y^2 - 6[/tex]

Rewrite the above nonlinear inequalities as:

[tex]y - x^2 \le - 1[/tex]

[tex]x -y^2 > -6[/tex]

[tex]y - x^2 \le - 1[/tex] means that the inequality has a solid line, and the outside part is shaded

[tex]x -y^2 > -6[/tex] means that the inequality has a dotted line, and the inner part is shaded

So, the graph that represents the system of nonlinear inequalities is graph (a)

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