Determine the nature of the roots: 5x2 + 20x + 20 - 0
. no real solutions
C.
. a unique real solution
d.
cannot be determined
two distinct real solutions

Answer:

2x+ 2(x+4/5)

Step-by-step explanation:

Perimeter = 2l + 2w

l = x

w = x+4/5

Answer:

4

Step-by-step explanation:

[tex] Lim_{x \to 0}\frac{2 x\sin x}{1-\cos x} [/tex]

[tex] =Lim_{x \to 0}\frac{2 x\sin x}{1-\cos x}\times \frac{1+\cos x}{1+\cos x} [/tex]

[tex] =Lim_{x \to 0}\frac{2 x\sin x(1+\cos x) }{1^2 -\cos^2 x} [/tex]

[tex] =Lim_{x \to 0}\frac{2 x\sin x(1+\cos x) }{1 -\cos^2 x} [/tex]

[tex] =Lim_{x \to 0}\frac{2 x\sin x(1+\cos x) }{sin^2 x} [/tex]

[tex] =Lim_{x \to 0}\frac{2x(1+\cos x) }{sin x} [/tex]

[tex] =Lim_{x \to 0} 2(1+\cos x) \times \frac{1}{Lim_{x \to 0}\frac{sin x}{x}} [/tex]

[tex] =2(1+\cos 0) \times 1 [/tex]

[tex] = 2(1+1) [/tex]

[tex] = 2(2) [/tex]

[tex] \therefore Lim_{x \to 0}\frac{2 x\sin x}{1-\cos x}= 4 [/tex]

Answer:

64.2 in

Step-by-step explanation:

From deltamath

Yeah

9514 1404 393

Answer:

  12 or 103

Step-by-step explanation:

The given angle is opposite the shorter side, so there will be two solutions.

In order to find f, we need to know angle F. We can find that by first finding angle E.

  E = arcsin(e/d·sin(D)) = arcsin(71/62·sin(36°)) = 42.307° or 137.693°

  F = 180° -D -E = 180° -36° -{42.307°, 137.693°} = {101.693°, 6.307°}

Then the measure of f is ...

  f = sin(F)/sin(D)×d = 62/sin(36°)×sin({101.693°, 6.307°})

  f = {103.29, 11.59}

Side f is either 12 or 103.

Answer:

Step-by-step explanation:

Find ∠E

Find m∠F

Find f

Answer:

170 children

74 students

85 adults

Step-by-step explanation:

Given

Let:

[tex]C = Children; S = Students; A = Adults[/tex]

For the capacity, we have:

[tex]C + S + A = 329[/tex]

For the tickets sold, we have:

[tex]5C + 7S + 12A = 2388[/tex]

Half as many as adults are children implies that:

[tex]A = \frac{C}{2}[/tex]

Required

Solve for A, C and S

The equations to solve are:

[tex]C + S + A = 329[/tex] -- (1)

[tex]5C + 7S + 12A = 2388[/tex] -- (2)

[tex]A = \frac{C}{2}[/tex] -- (3)

Make C the subject in (3)

[tex]C = 2A[/tex]

Substitute [tex]C = 2A[/tex] in (1) and (2)

[tex]C + S + A = 329[/tex] -- (1)

[tex]2A + S + A = 329[/tex]

[tex]3A + S = 329[/tex]

Make S the subject

[tex]S = 329 - 3A[/tex]

[tex]5C + 7S + 12A = 2388[/tex] -- (2)

[tex]5*2A + 7S + 12A = 2388[/tex]

[tex]10A + 7S + 12A = 2388[/tex]

[tex]7S + 22A = 2388[/tex]

Substitute [tex]S = 329 - 3A[/tex]

[tex]7(329 - 3A) + 22A = 2388[/tex]

[tex]2303 - 21A + 22A = 2388[/tex]

[tex]2303 +A = 2388[/tex]

Solve for A

[tex]A = 2388 - 2303[/tex]

[tex]A = 85[/tex]

Recall that: [tex]C = 2A[/tex]

[tex]C = 2 * 85[/tex]

[tex]C = 170[/tex]

Recall that: [tex]S = 329 - 3A[/tex]

[tex]S = 329 - 3 * 85[/tex]

[tex]S = 329 - 255[/tex]

[tex]S = 74[/tex]

Hence, the result is:

[tex]C = 170[/tex]

[tex]S = 74[/tex]

[tex]A = 85[/tex]

Answer:

Down Below

Step-by-step explanation:

The answer is actually

162 children

86 students

81 adults

162x5=810

86x7=602

81x12=972

I found the original problem and the total ticket sale was $2384.

So I wrote the answers for the original problem just in case!

Ty for your time!

Answer:

I was searching for the same answer but no one has it smh

Step-by-step explanation:

Answer:

2x - 6 = 20

2x - 6 + 6 = 20 + 6

2x = 26

x = 13

The number should be 13

Step-by-step explanation:

Answer: 14/20=7/10 cup

Step-by-step explanation:

2/4 is equal to 10/20

1/5 is equal to 4/20

10/20+4/20= 14/20

Answer:

D

Step-by-step explanation:

Answer:

the mean is 83.6

Step-by-step explanation:

Answer:

The mean is 83.6 cm

Step-by-step explanation:

81 + 83 +84 + 85 + 85 = 416

416 divided by 5 = 83.6

Answer:

the answer is 50

Step-by-step explanation:

Answer:

bces

Step-by-step explanation:

Answer:

A, C, and D

Step-by-step explanation:

Constant of proportionality, k = y/x

Thus, all points on a line will have the same value of k.

Here, the value of k is given as ¼.

The coordinate points that will fall on a line where k = ¼, will give us the value of ¼ when we divide its y-coordinate by its x-coordinate.

Thus:

(4, 1) will give us k = y/x = ¼

(12, 3) will give us k = y/x = 3/12 = ¼

(20, 5) will give us k = y/x = 5/20 = ¼

Therefore, the options that apply are: A, C, and D

Answer:

k = 12

Step-by-step explanation:

Given 3k = 36 we want to isolate the variable (k) using inverse operations

So we want to get rid of the 3

3k = 3 times k (multiplication)

The inverse of multiplication is division so to get rid of the * 3 we want to divide by 3. Remember whatever we do to one side we have to do to the other side so we are going to divide each side by 3

3k/3=k

36/3=12

we're left with k = 12

Answer:

B

Step-by-step explanation:

Hope this helps!

Answer:

the answer is B

Step-by-step explanation:

the answer is B

Answer:

120

Step-by-step explanation:

The whiskers you see on the sides, are known as the minimum(Left) and the maximum (right).  

Answer:

a     44°

Step-by-step explanation:

Think of the right triangle formed by the beam, the ground, and the wall.

The beam is the hypotenuse. For the angle between the ground and the beam, call it angle A, the 13.9 ft side is the opposite leg. The trig ratio that relates the opposite leg and the hypotenuse is the sine.

sin A = opp/hyp

sin A = 13.9/20

sin A = 0.695

A = sin^-1 0.695

A = 44°

Answer:

ZB = 54

Step-by-step explanation:

Complementary angles add to 90 degrees

ZA + ZB = 90

x-15 + x+3 = 90

Combine like terms

2x-12 =90

Add 12 to each side

2x-12+12 = 90+12

2x = 102

Divide by 2

2x/2 = 102/2

x = 51

We want to find the measure of ZB

ZB = x+3

ZB = 51+3

ZB = 54

Answer:

b. you sold 17

c. your friend sold 25

Step-by-step explanation:

you=y your friend=x

y=x-8

42=x +y

42=x+(x-8)

42=x+x-8

42=2x-8

50=2x

25=x

Use x to solve for y...

y=25-8

y=17

Answer:

a=90

b=30

Step-by-step explanation:

Answer:

Step-by-step explanation:

45 seconds = 45/60 = 0.75 minutes

7 minutes 45 seconds = 7.75 minutes

One hour = 60 minutes

Number of full laps = 60/ 7.75 = 6000/775 = 7.74

He can make 7 full laps in one hour

Answer:

There is no significant evidence to conclude that the mean ages of ladies getting married in Desai is different from 18.

Step-by-step explanation:

Given the data:

15,25,17,20,22,24,19,16

Using calculator :

Mean value, xbar = 19.75

Standard deviation, s = 3.69

Samoke size, n

H0 : μ = 18

H1 : μ > 18

The test statistic :

Tstatistic = (xbar - μ) ÷ (s / sqrt(n))

Test statistic = (19.75 - 18) ÷ 3.69/ sqrt(8))

Test statistic = 1.75 ÷ 1.3046

Test statistic = 1.34

The Pvalue from test statistic ; df = n - 1 = 8 - 1 = 7

Pvalue = 0.111054

Decision :

If Pvalue < α ; reject H0

0.111053 > 0.05 ` Hence, we fail to reject H0

We can conclude that, There is no significant evidence to conclude that the mean ages of ladies getting married in Desai is different from 18.

Answer:

14

Step-by-step explanation:

20\100×70=14........

Answer:

The area of the prism's base in square meters is [tex]38.5m^2[/tex].

Step-by-step explanation:

The volume of a rectangular prism is found by multiplying the base of the prism by the height. Since you know that the volume is [tex]308m^3[/tex] and the height is [tex]8m[/tex], you just need to divide the volume by the height to get the area of the base, which would be [tex]\frac{308}{8}[/tex] or [tex]38.5m^2[/tex].

Answer:

B

Step-by-step explanation:

x-4=18

   +4    +4

x=22

Answer:

22

Step-by-step explanation:

X-4 =18

So now we have to find a number on the line which 4 is deducted from you can get 18 as the answer

So 22-4 = 18

Answer:

A bear weighing 4,521 grams would weight 4.521 kilograms

Answer:

the formula to find slope is m=∆y/∆y

this means m=y2-y1/x2-x1

using this formula

m=5-3/6-(-7)

m=2/13

Answer:

The slope is 0.25

Step-by-step explanation:

Answer:

C) x² = a/b

Step-by-step explanation:

Answer: tan^-1(5/8) = 32 degrees from horizontal line

Step-by-step explanation: tan (Alfa) = 2000 / 3200 because

Angle from horizontal line. 2000/3200 = 20/32 = 5/8