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3(m+2) = 5m-58

3m+6 = 5m-58

6 = 2m-58

64 = 2m

m = 32

given :- tanA=4/3

we already know that tanA=P/B

From Pythagorean theorem we get..

H²=P²+B²

H²=4²+3²

H²=16+9

H²=25

H²=5²

H=5

SinA=P/H

CosA=B/H

from that

SinA= 4/5

CosA=3/5

Standard Form: Ax + By = C

---A cannot be negative, nor can it be a decimal or fraction

y - 6 = -1/2(x - 5)

Distribute the -1/2

y - 6 = -1/2x + 5/2

Add -1/2x to both sides

1/2x + y - 6 = 5/2

Add 6 to both sides

1/2x + y = 17/2

Multiply everything by 2 to get rid of the fractions

x + 2y = 17

Hope this helps!! :)

Answer:

h(2)=8

Step-by-step explanation:

The problem basically asks you to substitute 2 in, hence h(2).

Here is your base equation.

h(x)=-x^2+6x

Plug in 2.

h(2)=-2^2+6(2)

Simplify, using PEMDAS.

h(2)=-4+12

h(2)=8

There's your answer!

Hope this helped :)

Answer:

the difference is 1/21

Step-by-step explanation:

2/3 equals 14/21 and 5/7 equals 15/21

Answer:

84

Step-by-step explanation:

1110 = 150 + (15 * 64)

150 is 20 cameras, so we get 64 + 20 = 84 cameras

Answer:

93 cameras

Step-by-step explanation:

it's actually 92.6666666667 but i rounded

Answer:

Step-by-step explanation:

(7x - 1) + 79° = 21x + 8

• An exterior angle of a triangle is equal to the sum of its two interior opposite angles.

[tex](7x - 1) +79 = 21x + 8 \\ 7x - 1 + 79 = 21x + 8 \\ 7x + 78 = 21x + 8 \\ 78 - 8 = 21x - 7x \\ 70 = 14x \\ \frac{70}{14} = x \\ 5 = x \\[/tex]

NRS = 21x + 8

[tex]21x + 8 \\ 21(5) + 8 \\ 105 + 8 \\ {113}^{o} [/tex]

Answer:

4 groups of 3

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

y=3 × 5 -4

=15-4

11

this is your answer

Step-by-step explanation:

yyuejekkgebbehekkejwjuehhehjeklwmsb

bdbjejejejjej

Answer:

y = 100 - 0.08^ x

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

2(8-4)

PEMDAS says parentheses first

2 * (4)

Then multiply

8

Answer:

8

Step-by-step explanation:

2(8-4)

2(4)

8

Answer:

2 quarters, 2 dimes, and 1 nickel

Step-by-step explanation:

25 times 2 = 50

10 times 2 = 20

1 times 5 = 5       +

____________

0.75

The coins can be distributed in the following manner -

2 quarters (2 x 25) + 2 dimes (2 x 10) + 1 nickel (5) = $0.75

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

Given is Michele who has 5 coins Worth 0.75 in all.

We can distribute the coins in the following manner -

2 quarters (2 x 25) + 2 dimes (2 x 10) + 1 nickel (5) = $0.75

Therefore, the coins can be distributed in the following manner -

2 quarters (2 x 25) + 2 dimes (2 x 10) + 1 nickel (5) = $0.75

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Answer:

Sale price = x - 0.45x

Step-by-step explanation:

[tex]\bf6 \frac{4}{5} + 6 \frac{4}{5} = (6 + 6) \frac{4}{5} = 12 \frac{4}{5} [/tex]

________

6 4/5 + 6 4/5 = ...

= (6 × 2)4/5

= 12 4/5 (A.)

Answer: x = 22

Step-by-step explanation:

Compare the 2 triangles

[tex]\frac{2x-8}{24} = \frac{45}{x+8}[/tex]

Cross multiply

(2x-8) (x+8) = 45 x 24

2x^2 + 16x - 8x - 64 = 1080

2x^2 + 8x - 64 - 1080 = 0

2x^2 + 8x - 1144 = 0 ---> divide by 2

x^2 + 4x - 572 = 0

(sum and product)

x^2 - 22x + 26x - 572 = 0

x(x - 22) + 26(x - 22) = 0

(x + 26) (x - 22) = 0

x + 26 = 0

x = -26

x - 22 = 0

x = 22

This can be determined by ellipse formula. Therefore, the height of the tunnel 4 feet from the edge is 13.08 feet.

Given:

A tunnel is constructed with a semi-elliptical arch. The width of the tunnel is 80 feet, and the maximum height at the center of the tunnel is 30 feet.

Find:

The height of the tunnel 4 feet from the edge is.

Let us consider,

The center of the concerned ellipse at the centre of its width of 80 feet. Let us consider

[tex]\begin{alligned}2a&=80\\\\a&=\dfrac{80}{2}&=\bold{40\:feet}\end{aligned}[/tex]

Since the maximum height at the centre of the tunnel is 30 feet, we can say that b = 30 feet.

Now, considering the centre of the tunnel as origin, we can write the equation of the ellipse as:

[tex]\bold{\dfrac{x^{2} }{a^{2} } +\dfrac{y^{2} }{b^{2} } =1}[/tex]

If we need to find the height of the tunnel 4 feet from the edge, we are looking for the height of the tunnel at 40 - 4 = 36 feet  from the center of the tunnel.

Therefore, we need to find y from the equation of the ellipse, when x = 36 feet.Hence,

[tex]\begin{aligned}\dfrac{36^{2} }{40^{2} } +\dfrac{y^{2} }{30^{2} }&=1\\\dfrac{1296}{1600} +\frac{y^{2} }{900}&=1\\y^{2}&=(1-\frac{1296}{1600} )\times900\\y^{2}&=(1-0.81)\times900\\y^{2}&=0.19\times900\\y^{2}&=171\\y &=\sqrt{171\\\bold{y&=13.08}\end{aligned}[/tex]

Therefore, the height of the tunnel 4 feet from the edge is 13.08 feet.

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Answer:

This can be determined by ellipse formula. Therefore, the height of the tunnel 4 feet from the edge is 13.08 feet.

Step-by-step explanation:

because of the reason that the other one said so, and im answering cause i want more points and to maintain my streak, and brainly stop taking down my answers!

Answer:

Step-by-step explanation:

12. 15 (3x5x1)

13.  8  (4x2x1)

14. 18 (6x3x1)

Step-by-step explanation:

X = 8/9

X = 8 Over 9

X = 8 Over 9

x = 2

Step-by-step explanation:

5(x-2) = 3(2-x)

5x-10 = 6-3x

8x = 16

x = 2

Answer:

0.649

Step-by-step explanation:

The probability that the number of people who show up to the plane exceed the capacity of the plane is 0.257.

Binomial distribution in probability is the discrete distribution that results in only two possible values in an experiment. The two possible values are either success/ true/ one which is denoted by probability 'p' or failure/ false/ zero which is denoted by q = 1 - p.

Binomial distribution formula can be written as,

P(x) = ⁿCₓ pˣ qⁿ⁻ˣ

where, n is number of experiments and x = 0, 1, 2, ...

Here, it is given that capacity of plane is 68

Number of people actually booked for flight is 70 ⇒ n = 70

Probability that people booked on their flight actually show up = 0.97

So, p = 0.97

⇒ q = 1 - p = 1 - 0.97 = 0.03

Let P be the probability that the number of people showing up exceed the capacity of the plane.

P = P (x = 69) + P (x = 70)

P = [⁷⁰C₆₉ (0.97)⁶⁹ (0.03)⁷⁰⁻⁶⁹] + [⁷⁰C₇₀ (0.97)⁷⁰ (0.03)⁷⁰⁻⁷⁰]

P = [ 70 × 0.122 × 0.03] + [1 × 0.119 × 0.03]

P = 0.2562 + 0.00357

P = 0.2598 ≈ 0.257

Hence, probability that the number of people who show up will exceed the capacity of the plane is 0.257.

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Answer:

166,400,000

Got the same one today and figured it out! Yw!❤

Answer:

1) 14/3 (D)

2) -0.6 (C)

Step-by-step explanation:

1) 5-(2/3)*(2/3//4/3)

2)|-1.2-2.03|-2.03/-2

Answer:

[tex] \alpha + (\alpha + 61) = 109 \\ 2 \alpha + 61 = 109 \\ 2 \alpha = 48 \\ \alpha = 24[/tex]

The measure of angle one is 24°

Answer:

Z(2z+1)+z(4z+5)

[tex]2 {z}^{2} + z + 4 {z}^{2} + 5z[/tex]

[tex]6 {z}^{2} + 6 {z}[/tex]

[tex]6z(z + 1)[/tex]

The equivalent expression of the different of two square is -1

Given the following expressions

a cot α = 1

a = 1/cot α = sinα/cosα

b = 1/cos α

We are to find the expression a² - b²

According to difference of two squares;

a² - b² =  (a + b) (a - b)

Substitute the given expressions into the formula as shown:

[tex]a^2 - b^2 = (\frac{sin \alpha}{cos \alpha} )^2 - (\frac{1}{cos \alpha} )^2\\a^2 - b^2=\frac{sin^2 \alpha}{cos^2 \alpha} -\frac{1}{cos ^2 \alpha}\\a^2 - b^2=\frac{sin^2 \alpha-1}{cos^2\alpha}\\a^2 - b^2=\frac{-(1-sin^2\alpha)}{cos^2\alpha} \\a^2 - b^2=\frac{-os^2 \alpha}{cos^2 \alpha}\\a^2 - b^2 = -1[/tex]

This shows that the equivalent expression of the difference of two squares is -1

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Answer:

21.59cm

Step-by-step explanation:

Multiply 8.5 by 2.54 to convert in. to cm.

Answer:

y=2x+1, assuming my change in the reported data was correct.

Step-by-step explanation:

The data for x had one more entry than the values for y.  I removed the second "0" so that the x and y points line up, as shown in the attached image.  The data indicate a straight line, with a slope of 2 (y increases by 2 for every x increase of 1).  The y-intercept is 1, as per the first data point (0,1).