Can someone help me with this ?

Answer:

∴[tex]Cos A=\frac{AC}{AB}[/tex]

➛ [tex]Cos30=\frac{x}{12\sqrt{3} }[/tex]

➛ [tex]\frac{\sqrt{3} }{2} =\frac{x}{12\sqrt{3} }[/tex]

➛[tex]x=12\sqrt{3}*\frac{\sqrt{3} }{2}[/tex]

➛ [tex]x=18[/tex] ✓

➛[tex]AC=18[/tex] ✓

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hope it helps...

have a great day!!

Answer:

4(a+b)

Step-by-step explanation:

Answer:

cancel out

Step-by-step explanation:

Answer:

(5/2)² must be added to the equation to complete the square.

Step-by-step explanation:

The given equation is

x^2+5x+10=0

writing it in in square form

(x)² + 2(x) (5/2) + (5/2)²-(5/2)² + 10= 0

We multiply (5/2) to the mid term because we have to make 2x equal to 5x.

As the square formula tells that square of first element plus 2 into first element multiplied by second element plus square of second element.

Making 2x equal to 5x gives (5/2) as the second element.

Therefore add square of the second element but also subtract square of second element to make it equal to the given original equation.

Now we can solve it.

(x)² + 2(x) (5/2) + (5/2)²-(5/2)² + 10= 0

(x + 5/2)²-(5/2)² + 10= 0

(x + 5/2)²- 25/4+ 10= 0

(x + 5/2)²- 25*5 +10*5/4*5= 0

(x + 5/2)²-  125+50/20= 0

(x + 5/2)²-  175/20= 0

(x + 5/2)²=  175/20

Answer:

You can tell that y=2 when x=4 by looking at the graph

Answer:

y = 2

Step-by-step explanation:

The equation is y = -x+6

Substituting 'x = 4' into this

y = -4+6

Hence, y = 2 when x =4

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Answer:

Kindly check explanation

Step-by-step explanation:

Using the Median (measure of center) and range

Room 212 :

Median = 20

Range = maximum - minimum = (22 - 15) = 7

Interquartile range = Q3 - Q1

Q3 = 21

Q1 = 19

IQR = 21 - 19 = 2

ROOM 214 :

Median = 22

Range = maximum - minimum = (25 - 16) = 9

Interquartile range = Q3 - Q1

Q3 = 23

Q1 = 20

IQR = 23 - 20 = 3

Answer:

2x–5y = 12

2(–9)–5y = 12

–18–5y=12

–5y=12+18

–5y=30

y= –30/5

y= – 6

(x,y) —> (–9,–6)

Answer:

Step-by-step explanation:

BaF2 + Na2S = 2 NaF + BaS

Answer:

slope=y2-y1/x2-x1

=-5+5/7-2

=0/5

=0

Step-by-step explanation:

Answer:

Parallelogram has greater area.

Step-by-step explanation:

Given:

Base of parallelogram = 9 km

Height of parallelogram = 5 km

Base of triangle = 6 km

Height of triangle = 3 km

Find:

Greater area

Computation:

Area of parallelogram = Base x Height

Area of parallelogram = 9 x 5

Area of parallelogram = 45 km²

Area of triangle = (1/2)(b)(h)

Area of triangle = (1/2)(6)(3)

Area of triangle = (1/2)(18)

Area of triangle = 9 km²

Parallelogram has greater area.

Answer:

Total Number of students taking Math and History and not music are 68.

Number of students who took both math and history at the same time is 6.

Step-by-step explanation:

History = 30

Math = 32

Music= 33

Math and Music= 9

History and Music= 13

History and Music and Math = 2

History but not math = 14

We have to find students taking history and math but not music.

Total number of students = 125

From the figure  number of students taking Math and History and not music are

=30+6+32= 68

Number of students who took both math and history at the same time is 6.

Answer: n-8

Step-by-step explanation: n represents the unknown number. You need to subtract 8 from the number since "less than" is another phrase to describe subtraction.

I hope this helps, have a nice day.

Answer:

32º

Step-by-step explanation:

Solve for sin(x). Then use inverse sine to get your angle measurement. From there, convert radians to degrees by multiplying by 180/π.

sin (x) = opp/hyp = 8/15

sin-1(8/15) = x = 0.56253 radians

0.56253 radians * 180/π = 32.23º

Round this to 32º

Answer:

82°

Step-by-step explanation:

That is the correct answer to put it simply

The measure of x from the quadrilateral inscribed inside the circle is given by x = 82°

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 circle be represented as P

Now , the quadrilateral inscribed inside the circle be ABCD

where the measure of m∠A = 98°

The measure of m∠B = 90°

Now , the opposite angles of a quadrilateral inscribed inside a circle are supplementary

So , measure of ∠A + measure of ∠C = 180°

On simplifying , we get

98° + x° = 180°

Subtracting 98° on both sides , we get

x = 180° - 98°

x = 82°

Therefore , the measure of x is 82°

Hence , the value of x of the quadrilateral inside circle is 82°

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Answer:

9.50x+130 > 700

Step-by-step explanation:

Answer:

9.50x+130> 700 I believe is the right answer.

Step-by-step explanation:

You need to have over $700 after adding $130 to your profit from mowing, which is $9.50 an hour.

x equals how may hours

9.50x + 130 > 700

Answer:

her first step was) Combining like terms= 12+2

her second step was) Combining like terms/ subtracting 5x from 3x= 5x-3x

her third step was) Adding to both sides 18= 14+18

her last step was) isolating the variable/ dividing 2 from both sides= 32/x.

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Answer:

n = 6

Step-by-step explanation:

f(n) = 0 is on the n- axis at (6, 0 )

When f(n) = 0 then n = 6

Answer:

[tex]2\sqrt{2} \text{ mi}[/tex]

Step-by-step explanation:

See the attached image for a picture of the situation.  The angle of depression lets you find the angle next to it but inside the triangle.  It, too, must measure 45 degrees.

That means the triangle is an isosceles triangle (two legs of equal length).

Apply the Pythagorean Theorem.

[tex]x^2+x^2=4^2\\2x^2=16\\x^2=18\\x=\sqrt{8}=2\sqrt{2}\approx 2.83\text{ mi}[/tex]

Answer:

118°

Step-by-step explanation:

Don't think the answer is 62° this time both 118° and angle x are congruent.

What do I mean by that? Both angles measure the exact same thing.

The only difference is their line length (n) and (m).

Answer:

x=5

Step-by-step explanation:

(2)^x/2 = 16

Multiply both sides by 2

(2)^x/2 *2 = 16*2

2^x = 32

Rewrite 32 as a power of 2

2^x = 2^5

x=5

Answer:

x=5

Step-by-step explanation:

(2)^x/2 = 16

Multiply both sides by 2

(2)^x/2 *2 = 16*2

2^x = 32

Rewrite 32 as a power of 2

2^x = 2^5

x=5

Answer:

Answer:

its do9ne

Step-by-step explanation:

Answer:

its the one next to the yellow one. hope it helps.

Step-by-step explanation:

Answer:

6/8

Step-by-step explanation:

or to simplify it, it would be 3/4

The probability that the spinner will land on green is 6 out of 8 or 75%.

Probability is simply the possibility of getting an event. Or in other words, we are predicting the chance of getting an event.

The value of probability will be always in the range from 0 to 1.

Given that,

Number of equal sections on the spinner = 8

Number of sections which are green = 6

Probability can be calculated as the ratio of number of desired outcomes to the total number of outcomes.

Here,

Desired outcome is the spinner landing on green.

Probability = 6/8 = 0.75 = 75%

Hence the probability is 6 out of 8 or 75%.

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Answer:

49

Step-by-step explanation:

Plug in 4 for x and 5 for y

[tex]3x^{2}+4y^{0}*4^{-1} \\3*4^{2} +4*5^{0}*4^{-1} \\3*16+4*5^{0}*4^{-1} \\[/tex]

Answer:

45°, 110° & 25°

Step-by-step explanation:

We know,

x + 25° + x +65° = 180° (∵Sum of all interior angles of a triangle is 180)

or, 2x + 90 = 180°

or, 2x = 90°

∴ x = 45°

Now,

∡A = x° = 45°

∡B = x +65° = 45° + 65° = 110°

A = ( - 3 , 2 ) ..**&**.. B = ( 4 , 5 )

_________________________________

Slope = [ y(B) - y(A) ] ÷ [ x(B) - x(A) ]

Slope = [ 5 - 2 ] ÷ [ 4 - ( - 3 ) ]

Slope = [ 3 ] ÷ [ 4 + 3 ]

Slope = 3 ÷ 7

Slope = 3/7

_________________________________

y - y(A) = Slope × ( x - x(A) )

y - 2 = 3/7 × ( x - ( - 3 ) )

y - 2 = 3/7 ( x + 3 )

y - 2 = 3/7 x + 9/7

y = 3/7 x + 9/7 + 2

y = 3/7 x + 9/7 + 14/7

y = 3/7 x + 23/7

Answer:

w^2 -18w + 81

Step-by-step explanation:

Simply, what we have to do here is to divide the coefficient of w by 2, then square it

we have this as -18/2 = -9

Squaring is -9^2 = 81

Answer:

16 ft

Step-by-step explanation:

Area = Side^2 = (s)^2 = 256, Side = 16.

So, 16 ft.

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Answer:

16ft

Step-by-step explanation:

Answer:

x = 8

Step-by-step explanation:

It is given that the two polygons are similar, one property of similar polygons is that if one were to multiply each side length by a certain number (referred to as the ratio of similitude), they would get the side length of the corresponding side on the other polygon. To find the ratio one has to divide the side length of one polygon by its corresponding side length in the other polygon.

30 ÷ 25 = 1.2

Set up an equation by multiplying one side length by the ratio of similitude, set it equal to its corresponding side length in the other polygon;

1.2 (35) = 4x + 10

Simplify,

42 = 4x + 10

Inverse operations,

42 = 4x + 10

32 = 4x

8 = x

Answer:

Step-by-step explanation:

Use proportions to solve this and the similarity from smaller side to corresponding larger side:

[tex]\frac{s}{l}:\frac{25}{30}=\frac{35}{4x+10}[/tex] and cross multiply to solve for x:

1050 = 25(4x + 10) and

1050 = 100x + 250 and

800 = 100x so

x = 8