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Answer:

[tex]d = 340.7m[/tex]

Step-by-step explanation:

See attachment for question illustration

From the attachment, we have:

[tex]AB = 125m[/tex]

[tex]<A = 41.6[/tex]

[tex]<B = 124.3[/tex]

Required

Solve d

First, we need to calculate <C

[tex]<A + <B + <C = 180[/tex] --- angles in a triangle

[tex]41.6+ 124.3 + <C = 180[/tex]

[tex]165.9+ <C = 180[/tex]

Make <C the subject

[tex]<C = 180 - 165.9[/tex]

[tex]<C = 14.1[/tex]

Next, we apply Sine's law to solve for d

[tex]\frac{A}{Sin\ A} = \frac{B}{Sin\ B} =\frac{C}{Sin\ C}[/tex]

In this case:

[tex]\frac{d}{Sin\ 41.6} = \frac{125}{Sin\ 14.1}[/tex]

Make d the subject

[tex]d = \frac{125 * sin\ 41.6}{sin 14.1}[/tex]

[tex]d = \frac{125 * 0.66392621265}{0.24361501178}[/tex]

[tex]d = \frac{82.9907765812}{0.24361501178}[/tex]

[tex]d = 340.663639629[/tex]

[tex]d = 340.7m[/tex]

Hence, the base of the lake is approximately 340.7m

Answer:

4 5 and 20

Step-by-step explanation:

Answer:

No. The absolute value of 15.3 is 15.3, not the opposite.

Step-by-step explanation:

Absolute value makes any number its positive form. For example -2 in absolute form is 2. So 15.3 in absolute form is still positive 15.3.

The factor of the equation 4x² + 12x + 9 is 2x+3. Then the correct option is A.

It is a polynomial with a degree of 2 or the maximum power of the variable is 2 in quadratic equations. It has two solutions as its maximum power is 2.

The factor of the polynomial is calculated as:-

4x² + 12x + 9 = 4x² + 6x + 6x + 9

                     = 2x ( 2x + 3 ) + 3 ( 2x + 3 )

                     = (2x + 3)(2x + 3)

The factor is (2x + 3). Hence, the correct option is A.

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Answer:

12.75

Step-by-step explanation:

If you make a proportion: 48/1=612/x

1(612)= 612

612/48

12.75 hours

At a speed of 48 miles per hour, the car will take approximately 12.75 hours to go 612 miles.

A mathematical number known as distance measures "how much ground an object has traveled" while moving. Distance is defined as the product of speed and time.

A car is traveling at a rate of 48 miles per hour.

To determine the number of hours it will take the car to travel 612 miles at a rate of 48 miles per hour, you can divide the distance traveled by the rate at which the car is traveling:

⇒ distance ÷ rate

⇒ 612 miles / 48 miles/hour

Apply the division operation, and we get

⇒ 12.75 hours

Therefore, it will take the car about 12.75 hours to travel 612 miles at a rate of 48 miles per hour.

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Answer:

The probability of a white marble or black marble being drawn is 12/22.

Step-by-step explanation:

First, add all the marbles together.

6 + 10 + 4 + 2 = 22

10 + 2 = 12

= 12/22

I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!

Answer:

<

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

It is going by multiples of 7, so the answer is 21.

Answer:

Grandfather is 72 and granddaughter is 8

Step-by-step explanation:

f is grandfather and d is granddaughter.

f = 9d

f+8 = 5(d+8)

9d+8=5d+40

4d=32

d=8

f=9*8=72

Answer:

the grandpa is 72 the little girl is 8

Step-by-step explanation:

Answer:

13.87

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

the solution set is -11 > 1 + a?

a > -10

a -12

a < -10

Answer:

C. Right and isosceles

Explanation:

Since two sides of the triangle are equal in length ([tex]DE[/tex] and [tex]DF[/tex]), this means that the triangle is an isosceles triangle. Since [tex]EF[/tex] is the hypotenuse of this triangle, it also means that the triangle is a right-angle triangle (the hypotenuse refers to the longest side of a right triangle). Therefore, we can conclude that ΔDEF is right and isosceles.

Hope this helps :)

Answer:

It is C.

Step-by-step explanation:

Hope this helped have an amazing day!

Answer:

Its 6.12 × 10^42

Step-by-step explanation:

U have to break it into pieces.. Np Merry Christmas

Answer:

It is 7.56!

Other:

Brainliest? Thanks!

The equation of circle with center at P ( -4 , 9 ) and diameter 10 units is given by ( x + 4 )² + ( y - 9 )² = 25

A circle is a closed figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle

The circumference of circle = 2πr

The area of the circle = πr²

where r is the radius of the circle

The standard form of a circle is

( x - h )² + ( y - k )² = r²,

where r is the radius of the circle and (h,k) is the center of the circle.

The equation of circle is ( x - h )² + ( y - k )² = r²

For a unit circle , the radius r = 1

x² + y² = r² be equation (1)

Now , for a unit circle , the terminal side of angle θ is ( cos θ , sin θ )

Given data ,

Let the equation of circle be represented as A

Now , the value of A is

Let the center of the circle be P ( -4 , 9 )

Let the diameter of the circle be d = 10 units

So , the radius of the circle r = d/2 = 5 units

And , standard form of a circle is

( x - h )² + ( y - k )² = r²,

So , the equation of circle is

( x + 4 )² + ( y - 9 )² = 25

Hence , the equation of circle is ( x + 4 )² + ( y - 9 )² = 25

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Answer:

y=x+3

Step-by-step explanation:

same as the last one =)

Answer:

4

Step-by-step explanation:

you do 2x+2x+6+3x+1 as this is simplified then it is 7x+7=35 then you take away 7 and that is 7x=28 and then u do x=28/7 and then you do x=4 you can check by substituting X

Answer is B because I learned it in school

Answer:

24 + 6

Step-by-step explanation:

Answer:

24 Degrees Farinhieght.

Step-by-step explanation:

15 degrees farinhieght added to 9 is 24 degrees.

Answer:

when doing questions like these you need to do pemdas and do it in order

Step-by-step explanation:

p- parenthesis

e- exponents

m- multipication

d- division

a- adding

s- subtracting

Answer:

g(2) = -11

Step-by-step explanation:

So, g(-2), basically meaning that x = -2.

Since we know that, we need to plug -2 into all of the x's.

g(2) = 3(-2) - 5

g(2) = -6 - 5

g(2) = -11

The required value of g(2) would be -11.

The function is defined as a mathematical expression that defines a relationship between one variable and another variable.

The function is given in the question following as:

g(x) = 3x-5

We have to determine the value of g(2) to the given function.

As per the given question, we have

⇒ g(x) = 3x-5

So, g(-2), this meaning that x = -2.

Now, substitute the value of x = -2 in the given function,

⇒ g(2) = 3(-2) - 5

⇒ g(2) = -6 - 5

Apply the addition operation, and we get

⇒ g(2) = -11

Therefore, the required value of g(2) would be -11.

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Answer:

Your answer is going to be m=-9

Step-by-step explanation:

(-4(m+3))/-4=(24)/-4

m+3=-6

   -3  -3

m=-9

Answer:

I think its c but I'm not sure. You need to ask a professional.

Step-by-step explanation:

Answer:

[tex] x = 27 [/tex]

Step-by-step explanation:

According to congruent chords and arcs theorem, if [tex] \overline{XY} \cong \overline{ZY} [/tex] then [tex] \arc{XY} \cong \arc{ZY} [/tex].

This means that [tex] \arc{XY} = \arc{ZY} = (6x - 20) degrees [/tex]

Thus:

[tex] \arc{XY} + \arc{ZY} + \arc{ZX} = 360 [/tex] (full circle = 360°)

[tex] \arc{XY} = (6x - 20) [/tex]

[tex] \arc{ZY} = (6x - 20) [/tex]

[tex] \arc{ZX} = 76 [/tex]

Plug in the values into the equation

[tex] (6x - 20) + (6x - 20) + 76 = 360 [/tex]

[tex] 6x - 20 + 6x - 20 + 76 = 360 [/tex]

Add like terms

[tex] 12x + 36 = 360 [/tex]

Subtract 36 on both sides

[tex] 12x = 360 - 36 [/tex]

[tex] 12x = 324 [/tex]

Divide both sides by 12

[tex] x = 27 [/tex]

Answer:

x=3

y=5

Step-by-step explanation:

5x+3(0) The y is zero because in the x-intercept the y is zero (same for x)

5/5x=15/5

x=3

5(0)+3y=15

3/3y=15/3

y=5

Answer:

0.03125

Step-by-step explanation:

Step-by-step explanation:

2 times -5 would equal -10 because if you add 5, 2 times so 5+5 you would get 10, but because 5 is a negative, 10 is also negative.

Answer:

No, none of the number need to be 48 for the mean to be 48. To get a mean, you add up all the number and divide it by the amount of numbers.

Example:

the mean of 10, 79, 42, 88, 19, and 50 is 48, but the actual number 48 was not part of the set.

10 + 79 + 42 + 88 + 19 + 50 = 288

288 ÷ 6 = 48

Answer:

(1,-4)

Step-by-step explanation:

Given:

y = −7x+3

y = −x−3

Computation:

y = −7x+3......eq1

y = −x−3.......eq2

Eq 1 - 2

-6x + 6 = 0

x = 1

So,

y = −7x+3

y = −7(1)+3

y = -4

So,

(1,-4)