What is the soution of (Image below)

Step-by-step explanation:

-5x+5y=15(multiply by 2)

3×-2y=-8(multiply by 5)

-10×+10y=30

15×-10y=-40

5x=-10

x=-2

Here,

-5x+5y=15.......(I)

and

3x-2y=8.....(II)

Now,

adding 3 in eqn (II)

so, 6x-5y=8

Now,

combining eqn (I) &(II)

-5x+5y=15

+6x-5y=8

[both 5y is cancelled ]

or, x=7

Now,

in eqn(i)

-5x+5y=15

or, -5*7+5y=15

or, -35+5y=15

or, -35-15=-5y

or, -50=-5y

or, -50/-5=y

[minus is cancelled ]

Therefore, y=10 and x=7

Answer:

m<BAC = 60°

Step-by-step explanation:

Theorem:

In a triangle, the measure of an exterior angle equals the sum of the measures of its remote interior angles.

m<ACD = m<A + m<B

130° = m<A + 70°

m<A = 60°

m<BAC = 60°

Answer:

option d is correct answer

Start by doing the binomial expansion of (x+y)^6 where x represents success. This is

(x^6y^0) + 6(x^5y^1) +15(x^4y^2) +20(x^3y^3) +15(x^2y^4) +6(x^1y^5) +(x^0y^6)

We are interested in the x^3y^3 term which represents exactly 3 sucesses. Since the probalbility of sucess and failure are both .5 we should be able to figure this out just using the coefficients of the terms which is

20/64 = .3125 which is 31.25%

The probability of exactly three successes in six trials of a binomial experiment in which the the probability of is 50% is 31.25%.

Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.

Here,

Probability =(³₆×(50%)³×(1-50%)⁶⁻³

= 20×(1/2)³×(1/2)³

= 20× 1/64

= 20/64

= 5/16

= 0.3125

= 0.3125×100

= 31.25%

Therefore, the probability of exactly three successes in six trials of a binomial experiment in which the the probability of is 50% is 31.25%.

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Answer:

5.52m

Step-by-step explanation:

First, we can see that two similar triangles are formed. One similar triangle is the big triangle, with the base being 22.75m and the height being the tree's height. Another triangle is formed with Grayson's height as the height and the and the difference between where he is standing and the edge of the tree's shadow (the red outline in the picture) .  We know that these are similar triangles because both the bases are parallel, as well as the heights and hypotenuses.

The base length for the triangle with Grayson as the height is 22.75-17.6 = 5.15 .

For similar triangles, we know that the ratios between sides are the same. For example, base₁/base₂ = height₁/height₂ . We can apply this here, making 5.15 base₁ and 1.25 height₁ (note that the same triangle's sides should be on top)

If we make the tree's height t, we thus have

5.15/22.75 = 1.25/t (height 2 is the tree's height

multiply both sides by t to remove one denominator

5.15 * t / 22.75 = 1.25

multiply both sides by 22.75 to remove the other denominator

5.15 * t = 1.25 * 22.75

          = 28.4375

divide both sides by 5.15 to isolate the t

t = 5.52m

Answer:

SOH-CAH-TOA

tan = opposite/adjacent

tan J = 15/20 = 3/4

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Answer:

1 and 3

i hope this helps

Answer:

M= -1

Step-by-step explanation:

Answer:

-1

Step-by-step explanation:

Rise over run.

-1/1 = -1

The only function rule that works is A.

Instead of using f(x) - use y

Then place the numbers in for x and see which are true. The answer is A

Answer:

She has 23 nickels and 5 dimes.

Step-by-step explanation:

Let n = the number of nickles and d = the number of dimes.

The number of each = 28. Set up the equation:

n + d = 28

Solve for n:

n = 28 - d

The total amount is $1.65 or 165 cents:

5n + 10d = 165

Substitute:

5(28 - d) + 10d = 165

140 - 5d + 10d = 165

140 + 5d = 165

5d = 165 - 140

5d = 25

d = 5, the number of dimes.

Solve for n:

n = 28 - d

n = 28 - 5 = 23, the number of nickles.

Proof:

5n + 10d = 165

5(23) + 10(5) = 165

115 + 50 = 165

165 = 165

Hope this Helps! Have an Awesome Day!!! <3

Step-by-step explanation:

Answer:

Sofia has 23 nickles & 5 dimes

Step-by-step explanation:

The number of each is 28

Form an equation:

[tex]n+d=28[/tex]

Solve for n:

[tex]n=28-d[/tex]

The total amount is $1.65 for 165 cents:

[tex]5n+10d=165[/tex]

Substitute:

[tex]5(28-d)+10d=165[/tex]

[tex]140-5d+10d=165[/tex]

[tex]140+5d=165[/tex]

[tex]5d=165-140[/tex]

[tex]5d=25[/tex]

[tex]d=25/5[/tex]

[tex]d=5[/tex]

Solve for n:

[tex]n=28-d[/tex]

[tex]n=28-5=23[/tex] ⇒ the number of nickles

CHECK:

[tex]5n+10d=165[/tex]

[tex]5(23)+10(5)=165[/tex]

[tex]115+50=165[/tex]

[tex]165=165[/tex]

hope this helps....

Answer:

1,2,4,7,8,14,28,56 those are the divisors for 56

Step-by-step explanation:

hope that helps >3

56 7*2^3 1,2,4,7,8,14,28,56

Answer:

that thing is not seeing properly and you can capture it again and resend it

Answer:

1 option is correct nd your answer is also correct

Answer:

28°

Step-by-step explanation:

Theorem: the exterior angle of a triangle is equal tobthe sum of opposite interior angles of the triangle

therefore,

55 = unknown angle + 27

let the unknown angle be x

55 = x + 27

isolating x

x = 55 - 27

x = 28

thus, the missing angle is 28°

Answer:

A

Step-by-step explanation:

Rosa started with d amount of drawings. After selling 17, she has 22 left. So the equation is d-17=22. 17+22=39, so d must equal 39.

Answer:

x = 9

Step-by-step explanation:

The central angle is equal in measure to the arc that subtends it, that is

9x - 1 = 80 ( add 1 to both sides )

9x = 81 ( divide both sides by 9 )

x = 9

Answer:

Null set

Step-by-step explanation:

Odd(0)

Even (E)

Prime (P)

Answer:

Its A since the other person didnt say it

Step-by-step explanation:

Answer:

0.41666666, to round up, the answer is 0.42

Step-by-step explanation:

[tex] \frac{3}{8} + \frac{1}{8} - \frac{1}{3} + \frac{1}{4} = \frac{4}{8} - \frac{1}{3} = \frac{4}{24} + \frac{1}{4} = \frac{10}{24} = \frac{5}{12} [/tex]

Answer:

i.

Step-by-step explanation:

.

Answer:

[tex]\sqrt{-1}=i[/tex]

The square root of -1 (i)

---------------------------------

~HOPE IT HELP

~HAVE A GREAT DAY!!

Answer:

Market price of set = 25.14

Step-by-step explanation:

Given:

Discount percentage = 20%

Service charge = 10%

GST = 7%

Amount pays = 23.54

FInd:

Market price of set

Computation:

Assume;

Market price of set = a

Market price of set after discount = a(1-20%)

Market price of set after discount = 0.80a

Market price of set after discount + (Market price of set after discount)(Service charge) + (Market price of set after discount)(GST) = Amount pays

0.80a + (0.80a)(10%) + (0.80a)(7%) = 23.54

0.80a + 0.08a + 0.056a = 23.54

0.936a = 23.54

a = 25.14

Market price of set = 25.14

Answer:

k=2

Problem:

if the equation x^2 +(k+2)x+2k=0 has equal roots,then the value of k is ..

Step-by-step explanation:

Since the coefficient of x^2 is 1, we can use this identity to aid us: x^2+bx+(b/2)^2=(x+b/2)^2.

So we want the following:

[(k+2)/2]^2=2k

Apply the power on the left:

(k+2)^2/4=2k

Multiply both sides by 4:

(k+2)^2=8k

Expand left side:

k^2+4k+4=8k *I used identity (x+c)^2=x^2+2xc+c^2

Subtract 8k on both sides:

k^2-4k+4=0

Factor using the identity mentioned a couple lines above:

(k-2)^2=0

Since zero squared is zero, we want k-2=0.

Adding both sides by 2 gives k=2.

Answer:

[tex] ({x}^{2} + 4 )( {x}^{2} - 4) \\ 1)( {x}^{2} - 16) \\ = (x - 4)(x + 4) \\ 2)( {x}^{2} + 16) \\ = (x - 4)(x + 4) \\ 3) {x}^{2} + 8x + 16 \\ {x}^{2} + (4 + 4)x + 16 \\ {x}^{2} + 4x + 4x + 16 \\ x(x + 4) + 4(x + 4) \\ (x + 4)(x + 4) \\ 4) {x}^{2} - 8x - 16 \\ {x}^{2} - (4 + 4)x - 16 \\ {x}^{2} - 4x + 4x - 16 \\ x(x - 4) + 4(x - 4) \\ (x - 4)(x + 4)[/tex]

Hello,

[tex]f^{-1}(6)=5[/tex]

Answer:

[tex]cos \theta = 0.6[/tex]

Step-by-step explanation:

Draw a line from point ( 0.6, 0.8 ) to the X - axis, forming a right triangle with hypotenuse = r = 1 , adjacent = 0.6,  opposite = 0.8

[tex]cos \theta = \frac{adjacent}{hypotenuse} , \ where \ adjacent = 0.6 ,\ hypotenuse \ = r= 1[/tex]

[tex]cos \theta = \frac{0.6}{1}\\\\cos \theta = 0.6\\\\\theta = cos^{-1} \ 0.6\\\\\theta = 53.13^\circ[/tex]

The value of cos θ is,

⇒ cos  θ = 0.6

The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.

Now, We can Draw a line from point ( 0.6, 0.8 ) to the X - axis, forming a right triangle with hypotenuse = r = 1 , adjacent = 0.6,  opposite = 0.8

Hence, We can formulate;

⇒ cos θ = 0.6 / 1

⇒ θ = cos ⁻¹ 0.6

⇒ θ = 53.13°

Thus, The value of cos θ is,

⇒ cos  θ = 0.6

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Answer:

16x16x16x1.6

Step-by-step explanation:

here's your answer hope it helps you

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Explanation:

1/2 is the probability of flipping tails because we have one side labeled tails out of 2 sides total.

1/6 is the probability of rolling a 5, because there's one side we want out of 6 total.

The two events (flipping the coin and rolling the die) are independent, allowing us to multiply those previously mentioned fractions:

(1/2)*(1/6) = (1*1)/(2*6) = 1/12