Determine the length of AC.
16.7 units
18.9 units
3.4 units
19.4 units

Determine The Length Of AC.16.7 Units18.9 Units3.4 Units19.4 Units

Answers

Answer 1

Answer:

16.7 units

Step-by-step explanation:

To get AC, we can use the sine rule here

BC/sine 86 = AC/sin 68

18/sine 86 = AC/sine 68

AC = (18 * sine 68)/sine 86

AC =16.73 units


Related Questions

On a sunny day, a building and its shadow form the sides of a right triangle. If the hypotenuse is 34 m long and the shadow is 24 m, how tall is the building

Answers

Answer:

Step-by-step explanation:

h=√[34²-24²]=√[(34-24)(34+24)]=√[10×58]=√(5×29)=√145 ≈12 m

The height of the building is 10 meters.

What is the Pythagorean theorem?

Pythagorean theorem states that for a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

We can apply this theorem only in a right triangle.

Example:

The hypotenuse side of a triangle with the two sides as 4 cm and 3 cm.

Hypotenuse side = √(4² + 3²) = √(16 + 9) = √25 = 5 cm

We have,

Let's call the height of the building "h".

We can use the Pythagorean theorem to relate the height, shadow, and hypotenuse of the right triangle:

h² + 24² = 34²

Simplifying and solving for h.

h² = 34² - 24²

h² = 676 - 576

h² = 100

h = 10

Therefore,

The height of the building is 10 meters.

Learn more about the Pythagorean theorem here:

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hlpppppppppppppppppppppppppppppppppp

Answers

Answer:

4th quadrant

Step-by-step explanation:

quadrant 4 is (+,-)

Answer:

It is the 4th quadrant!

Step-by-step explanation:

Hope it helps! ;D

The first term of a sequence is 1 and every term after the first one is 1 more than the square of the preceding term. What is the fifth term?

Answers

Answer:

677

Step-by-step explanation:

the sequence is 1, 2, 5, 26, 677

the first term is 1

to find the 2nd term, do: [tex]1^{2} +1=2[/tex]

3rd: [tex]2^{2} +1=4+1=5[/tex]

4th: [tex]5^{2} +1 =25 +1=26[/tex]

5th: [tex]26^{2} +1=676+1=677[/tex]

convert f(x) = 5x(x – 6) to standard form

Answers

Answer:

[tex]5x^{2} - 30x[/tex]

Step-by-step explanation:

Determine the quotient of .     ​

Answers

of what?? the hamburgler??

If all sides of a triangle are congruent then all sides of a triangle are congruent....write the given and proof

Answers

Step-by-step explanation:

Side-Angle-Side is a rule used to prove whether a given set of triangles are congruent. The SAS rule states that: If two sides and the included angle of one triangle are equal to two sides and included angle of another triangle, then the triangles are congruent.

more points for yal if u help <333​

Answers

D all sides r equal!!!!!!!!!!!

Cual es el resultado de la siguiente división (– 1/3 a^2 b^5 – 1/2 a^5 b^4 + 2/5 a^3 b – 5a^2 b^7) / ( – 5a^2 b^2)

Answers

Answer:

dont understand clearly

Step-by-step explanation:

If a wheel has a radius of 5cm
how much is one rotation of the wheel
How many rotations can the wheel do within a distance of 50km

Answers

Answer:

circumference = 2*PI*radius

circumference = 2 * PI * 5 cm

circumference = 31.4159265358979 cm

50 km = 500,000 centimeters

rotations = 500,000  / 31.4159 cm

15,915.51  rotations

Step-by-step explanation:

Which is the graph of f(x) = -(x + 3)(x + 1)?
8
4
22
2
2
2
-8
6
х
2
6 4
6
8
-6
4
X
2
-2
-2
19
2

Answers

Answer:

It's the second option

Step-by-step explanation:

Graph for -(x+3)(x+1)

The graph of f(x) = -(x + 3)(x + 1) is the option B.

What is Function?

A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.

Given function is,

f(x) = -(x + 3)(x + 1)

Simplifying,

f(x) = - (x² + 3x + x + 3)

f(x) = -x² - 4x - 3

This is a quadratic function, the graph of which is a parabola.

Leading coefficient is negative, so the parabola opens downward.

Options are either A or B.

x coordinate of the vertex of a parabola of equation ax² + bx + c is -b/2a.

Here x coordinate = -(-4) / (2 × -1) = -2

The vertex of first graph is (2, 1) and that of second graph is (-2, 1).

The correct option is second graph.

Hence the second graph is the graph of the given function.

Learn more about Quadratic functions here :

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Which of these products is negative? Select all that apply.
-8 ÷ (-3)
-2 ÷ 8
0 ÷ (-2)
15 ÷ (-5)
-8 ÷ (-9)

Answers

Answer:

Positive/negative = negative

Negative/positive = negative

So -2 ÷ 8 and 15 ÷ (-5) are going to have negative quotients.

Let me know if this helps!

1+-2/3--m where m=9/2

Answers

Answer:

-25/9

Step-by-step explanation:

1 + (-2/3) - m

Plug in:

1 + (-2/3) - 9/2

1 + 2/3 - 9/2

1/3 - 9/2

-25/9

Hope this helped.

Answer:

4 5/6

Step-by-step explanation:

1+-2/3--m

Subtracting a negative is like adding

1-2/3 +m

1/3+m

m = 9/2

1/3 +9/2

Get a common denominator of 6

1/3 *2/2 +9/2*3/3

2/6 + 27/6

29/6

Changing to a mixed number

4 5/6

How many solutions does the system have?








x+y=3
5x+5y=15

Answers

x=3-y

5(3-y) + 5y=15

15y-5y+5y=15

15y=15

Y= 15/15

Y= 1


X+(1)=3

X=3-1

X=2




Final answer: x=2 and y=1

Method: simultaneous equations

multiple the following
[tex] \frac{18}{15} \times \frac{25}{12} [/tex]

Answers

Answer:

5/2

Step-by-step explanation:

(18/15)*(25/12)=(18*25)/(15*12)=450/180=5/2

Date: Pages The recent price of a car is Rs. 10.00,000: If its price reduces by to1 yearly after how many year its price will be Rs 7, 29,000?​

Answers

Answer:

729000 year it's price will Rs 729000

someone answer this please

Answers

Answer:

720º

Step-by-step explanation:

To find the total amount of interior angles in any polygon, we have to use the formula, (n-2)*180.

Here, the n is the number of sides the polygon has. In this case, your polygon has 8 sides. Therefore it would be (8-2)*180 --> 4*180 = 720º.

Answer:

the answer is 720. Please give me brainliest

An executive for a large company is considering a change to health insurance plans offered to the employees. To
assess employee satisfaction with the current plan, the executive sends an email to all company employees asking
their opinion of the current plan. A summary of the results received shows that 27% of company employees are
"highly satisfied" with the current health insurance plan. Which statement about the results is most likely to be true?

Answers

Answer:

not D

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

If the bearing of Saaman from Ankaase is 171. What is the bearing of Ankaase from Saaman.​

Answers

Step-by-step explanation:

A. Theta + 180 (when angle is less than 180)

Theta - 180(when angle is greater than 180)

Thus, 171 + 180 = 351°

B. I. Angle CBF + Angle BFG = 180 (Co interior angles)

CBF + 118 = 180

CBF + 118 –118 = 180 –118

CBF = 62°

Ii. 83 + X + CBF = 180 (Angles on a straight line)

83+X+62 =180

145+x=180

145–145+x=180–145

X = 35°

Taylor wirtes a exppersion with five terms all 5 terms are like terms how many terms are in equivilent exppersions with the least numbers of terms ?

Answers

Answer:

1 term

Step-by-step explanation:

Writing an expression of 5 terms such that all 5 terms are like terms ;

Using the analogy :

x, 2x, 4x, 3x, 5x

Writing as an expression :

x + 2x + 4x - 3x + 5x

7x - x + 5x

6x + 5x

11x

The least number of terms in its equivalent expression is 1 ;

As the expression x + 2x + 4x - 3x + 5x is equivalent to 11x

Find the area of the bolded outlined sector.

Answers

Outlined sector:

2 πr x 225/360 +2r

=2x3.14x10 x 225/360 +20

=59.25 cm

Hope this helped!

An electricity post is supported by a 12 m long strut(wire). If the strut makes an angle of 53° with the ground level, how far from the post is the strut attached to the ground?

Answers

Step-by-step explanation:

I do hope that you understand through the steps in the attachment, if not kindly reach out!

Solve 3x-4>11 if the domain of x is {1,2,3,4,5,6,7,8}

Answers

Answer:

(6,7,8)

Step-by-step explanation:

solving the inequality will give x>5

Find all complex numbers z such that z^4 = -4.

Note: All solutions should be expressed in the form a+bi, where a and b are real numbers.

Answers

26 and yeah just need points ignore this answer so sorry

NEED HELP ASAP!!!!!!!

Answers

Letter b because you need to multiply

Look at this rectangular prism:

Answers

Answer:

3 : 1

Step-by-step explanation:

volume = length * width * height

The volume of the solid as it is shown is:

volume = 10 m * 6 m * 10 m = 600 m^3

old volume = 600 m^3

Now we triple the length.

The length becomes 3 * 10 m = 30 m

The new volume is:

volume = length * width * height

volume = 30 m * 6 m * 10 m = 1800 m^3

new volume = 1800 m^3

ratio of new volume to old volume = 1800 m^3 : 600 m^3

Divide both sides of the ratio by 600 m^3.

Ratio = 3 : 1

Answer:     3 : 1

How do you solve 17 and 18 I need explanation pls

Answers

Answer:

17. C

18.G

Step-by-step explanation:

17. According to the question, gravel is 4/13 of the total asphalt substance. One parking lot has 260 tons of asphalt. So this means there is 80 tons of gravel because 260 times 4/13=80. We need to find the tons of gravel if we made 3 parking lot. This means 3 parking lot is the same as 780. So we can just find the measure of gravel by multiplying

4/13 by 780.

[tex] \frac{4}{13} \times 780 = 240[/tex]

So there is 240 tons of gravel. C is the answer.

18. Set up system of equations.

[tex]a + b + c = 110[/tex]

The ratio of a to c is 1:7 and the ratio of b to c is 3:7. Using this information,

C is 7 times more than A.A is 3 times less than B

Using this info, we can make alternate equations

[tex]c = 7a[/tex]

[tex]b = 3a[/tex]

Subsitue this into the original equation,

[tex]a + 7a + 3a = 110[/tex]

[tex]11a = 110[/tex]

[tex]a = 10[/tex]

We need to find c, c is 7 times more than a so c is

[tex]c = 10 \times 7 = 70[/tex]

plz help me on this

Answers

the figure is a collinear figure
3rd one is correct.

What is the interquartile range (IQR) of this data set?
2, 6, 7, 11, 15, 16, 17

A.9
B.7
C.10
D.15

Answers

Answer:

11 is the median of the entire data set

6 is the median of the lower half and 16 is the median of the upper half data scores...

Subtract 16 from 6 gives 10 so the answer is C) 10

Answer:  Choice C)  10

=============================================================

Explanation:

The first step is to sort the data from smallest to largest. Luckily, that's already been done for us.

Next, we find the median. This is the middle most number of the set. In this case, the median is 11 since we have 3 values below it (2,6,7) and 3 values above it (15,16,17).

Let

L = {2,6,7}

U = {15,16,17}

where L and U are the lower and upper sets respectively.

In other words, anything in set L is lower than the median while anything in set U is above the median. The median itself (11) is not part of either set.

Notice how 6 is the midpoint of set L, while 16 is the midpoint of set U.

This means Q1 = 6 and Q3 = 16

Therefore,

IQR = Q3 - Q1

IQR = 16 - 6

IQR = 10

which is why choice C is the final answer.

Carlos has chosen twelve different compact discs (CDs) he would like to buy. Four are rap music, five are country music, and three are heavy metal music. Carlos then randomly selects five of the 12 CDs to purchase. What is the probability that his purchase includes at least one CD from each of the three categories

Answers

Answer:

185/198

Step-by-step explanation:

Since the are 12 Cd and we require them to be selected in 5 ways, the number of selections is ¹²C₅ = 12 × 11 × 10 × 9 × 8/5! = 95040/120 = 792 ways

Since we have Four are rap music, five are country music, and three are heavy metal music, the number of ways to select them in groups of five so as to have at least one of each CD from each category, we have

For the first selection 3 of one category, and 1 each of the other categories.

The second selection is 2 each of two categories and 1 of the last category.

So, doing this for each category, we have

⁴C₃ × ⁵C₁ × ³C₁ + ⁴C₂ × ⁵C₂ × ³C₁ + ³C₃ × ⁴C₁ × ⁵C₁ + ³C₂ × ⁴C₂ × ⁵C₁ + ⁵C₃ × ⁴C₁ × ³C₁ + ⁵C₂ × ³C₂ × ⁴C₁

= (4 × 3 × 2/3! × 5 × 3) + (4 × 3/2! × 5 × 4/2! × 3) + (1 × 4 × 5) + (3 × 2/2! × 4 × 3/2! × 5) + (5 × 4 × 3/2! × 4 × 3) + (5 × 4/2! × 3 × 2/2! × 4)

= 360/6 + 720/4 + 20 + 360/4 + 720/2 + 120/4

= 60 + 180 + 20 + 90 + 360 + 30

= 740 ways

So, the required probability is P = number of ways of selecting at least one CD/ total number of ways = 740/792 = 185/198

1a.-14,____,-6,____,2,____,10
b. ____, - 2,4,____,16,____,64

2.Factor of 60=
1,2,3,4,5,6,10,x,15,20,y,z
Find the sum of the values of x, y and z

Please help me to solve these question, thank you. ​

Answers

Answer:

102

Step-by-step explanation:

x= 12

y= 30

z= 60

Hope u got it

Answer:

Hello,

a) -6

b) -39

c) 102

Step-by-step explanation:

I suppose this are sequence arithemical or geometrical

[tex]a)\\u_1=-14\\u_2=x\\u_3=-6\\u_4=y\\u_5=2\\u_6=z\\u_7=10\\\\We\ see\ that\ :\\u_3-u_1=-6-(-14)=-6+14=8\\u_5-u_3=2-(-6)=2+6=8\\u_7-u_5=10-2=8\\\\We\ may \imagine\ that\ the\ difference\ bethween\ 2\ terms\ is\ =8/2=4\\\\so\ x=-10, y=-2, z=6 \ and\ x+y+z=-10+(-2)+6=-6\\[/tex]

[tex]b)\\u_1=x\\u_2=-2\\u_3=4\\u_4=y\\u_5=16\\u_6=z\\u_7=64\\\\We\ see\ that\ :\\\\\dfrac{u_5}{u_3}=\dfrac{16}{4} =4\\\dfrac{u_8}{u_6}=\dfrac{64}{16} =4\\\dfrac{u_3}{u_2}=\dfrac{4}{-2} =-2\\\\The\ common\ factor\ is\ -2\\\\u_1=x=\dfrac{u_2}{-2} =1\\\\u_4=y=\dfrac{u_5}{-2} =-8\\\\u_6=z=\dfrac{u_7}{-2} =-32\\x+y+z=1+(-8)+(-32)=-39\\[/tex]

c)

All those numbers are divisor of 3*4*5=60

x=12, y=30, z=60

x+y+z=12+30+60=102

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