Mary rides her horse 30 miles in 2 1/2 hours. What is her average speed in miles per hour?

Answer:

376-182=194

so 194 us the 1st

182 is the 2nd

Given:

In triangle ABC, AB=8.2 cm, C=13.5 cm and angle A= 81 degrees.

To find:

The length of AC.

Solution:

According to the Law of Sines:

[tex]\dfrac{\sin A}{a}=\dfrac{\sin B}{b}=\dfrac{\sin C}{c}[/tex]

Using Law of Sines, we get

[tex]\dfrac{\sin A}{a}=\dfrac{\sin C}{c}[/tex]

[tex]\dfrac{\sin (81^\circ)}{13.50}=\dfrac{\sin C}{8.2}[/tex]

[tex]\dfrac{\sin (81^\circ)\times 8.2}{13.50}=\sin C[/tex]

[tex]\sin^{-1}\dfrac{\sin (81^\circ)\times 8.2}{13.50}= C[/tex]

[tex]C\approx 36.86^\circ[/tex]

Using angle sum property, we get

[tex]\angle A+\angle B+\angle C=180^\circ[/tex]

[tex]81^\circ+\angle B+36.86^\circ=180^\circ[/tex]

[tex] \angle B =180^\circ-81^\circ-36.86^\circ [/tex]

[tex] \angle B =62.14^\circ [/tex]

Now,

[tex]\dfrac{\sin A}{a}=\dfrac{\sin B}{b}[/tex]

[tex]\dfrac{\sin (81^\circ)}{13.50}=\dfrac{\sin (62.14^\circ)}{b}[/tex]

[tex]b=\dfrac{13.50\times \sin (62.14^\circ)}{\sin (81^\circ)}[/tex]

[tex]b\approx 12.08[/tex]

Therefore, the length of AC is 12.08 cm.

Answer:

26

Step-by-step explanation:

Each term is the previous with 4 added to it.

a1 = 10, a2 = 14, a3 = 18, a4 = 22, a5 = 26

The value of [tex]a_{5}[/tex] will be equal to 26 .

It is given that [tex]a_{1}[/tex]= 10 and [tex]a_{n} = a_{n-1} + 4[/tex].

We have to find the value of [tex]a_{5}[/tex].

What do you mean by sequences ?

Sequences are a list of numbers which are arranged in a special manner i.e., 2 , 4 , 6 , 8 numbers of this sequence gets increased by 2 every time.

As per the question ;

The first term ;  [tex]a_{1}[/tex]= 10

and given ;

[tex]a_{n} = a_{n-1} + 4[/tex]

So ;

2nd term will be ;

[tex]a_{2} = a_{1} + 4[/tex]

[tex]a_{2}[/tex] = 10 + 4

or

[tex]a_{2}[/tex] = 14

Now ;

3rd term will be ;

[tex]a_{3} = a_{2} + 4[/tex]

[tex]a_{3} = 14 + 4[/tex]

[tex]a_{3}[/tex] = 18  

Hence , the common difference is d = 4.

So ;

4th term will be ;

[tex]a_{4}[/tex] = 18 + 4

[tex]a_{4}[/tex] = 22

and

5th term will be ;

[tex]a_{5}[/tex] = 22 + 4

[tex]a_{5}[/tex] = 26

Thus , the value of [tex]a_{5}[/tex] will be equal to 26 .

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Answer:

Multiply it by 4 and divide it by 100.  It should be1,100. Now multiply it by12. it should be 13200 . Now subtract that to the original price.  14300

Step-by-step explanation:

PLEASE rate follow and thank

Answer: 6281

Step-by-step explanation:

Answer (assuming it can be in slope-intercept form):

[tex]y = -\frac{5}{12} x-\frac{5}{6}[/tex]  

Step-by-step explanation:

1) First, find the slope of the line between the two points by using the slope formula, [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]. Substitute the x and y values of the given points into the formula and solve:

[tex]m = \frac{(0)-(-5)}{(-2)-(10)} \\m = \frac{0+5}{-2-10} \\m=\frac{5}{-12}[/tex]

Thus, the slope of the line is [tex]-\frac{5}{12}[/tex].

2) Next, use the point-slope formula [tex]y-y_1 = m (x-x_1)[/tex] to write the equation of the line in point-slope form. Substitute values for [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex] in the formula.

Since [tex]m[/tex] represents the slope, substitute [tex]-\frac{5}{12}[/tex] in its place. Since [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of one point the line intersects, choose any of the given points (it doesn't matter which one, it will equal the same thing) and substitute its x and y values into the formula as well. (I chose (-2,0), as seen below.) Then, isolate y and expand the right side in the resulting equation to find the equation of the line in slope-intercept form:

[tex]y-(0)=-\frac{5}{12} (x-(-2))\\y-0 = -\frac{5}{12} (x+2)\\y = -\frac{5}{12} x-\frac{5}{6}[/tex]

Answer:

272 square inches

Step-by-step explanation:

Given

[tex]l = 8[/tex] --- length

[tex]w = 2[/tex] --- width

[tex]h = 12[/tex] ---- height

Required

Determine the total surface area (SA)

This is calculated using:

[tex]SA = 2 * (lw + wh + lh)[/tex]

[tex]SA = 2 * (8*2+2*12+8*12)[/tex]

[tex]SA = 2 * 136[/tex]

[tex]SA = 272[/tex]

The total surface area is 272 square inches

Answer:

The slope is 3

Step-by-step explanation:

m = rise/run

Imma use points (4,1) and (5,4)

rise = 3

run = 1

3/1

m = 3

plz mark as brainliest if correct!

Answer:

blue =5/13. speckled=4/13

Answer:

PR = 6.93 units

PQ = 13.86 units

Step-by-step explanation:

From ΔPQR,

m∠Q = 30°

QR = 12

By applying tangent rule for the given angle in the triangle,

tan(30°) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

tan(30°) = [tex]\frac{PR}{QR}[/tex]

[tex]\frac{1}{\sqrt{3}}=\frac{PR}{12}[/tex]

PR = [tex]\frac{12}{\sqrt{3} }[/tex]

PR = 4√3 ≈ 6.93

Now we apply cosine rule,

cos(30°) = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]

[tex]\frac{\sqrt{3} }{2}=\frac{QR}{PQ}[/tex]

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

PQ = [tex]\frac{24}{\sqrt{3} }[/tex]

PQ = 8√3 ≈ 13.86

Answer:

40 seconds

Step-by-step explanation:

8         20

16        40

32

40

40 seconds

It will take 40seconds to both the lights to flash at the same time again.

" Least common multiple is defined as the smallest common multiple of the given set of numbers."

According to the question,

Given ,

Time to flash Light A is  every 8 seconds.

Time to flash Light B is every 20 seconds.

Condition given

Both the lights flash at the same time

Least common multiple (8, 20) = 40seconds

Light A flashes in

8seconds , 16seconds , 24seconds , 32seconds, 40seconds

Light B flashes in

20seconds , 40seconds

Hence, both the light flashes at the same time again is at 40seconds.

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Answer:

wheres the graph? u can insert a image!

Step-by-step explanation:

Answer:

3.5

Step-by-step explanation:

:)

Answer:

choice 4) sq rt 69 ft

Step-by-step explanation:

13^2 - 10^2

169-100 = 69

sq rt 69

Answer:

12 degrees

Step-by-step explanation:

Total angle in a circle = 360 degrees

If a circle is divided into 30 equal parts

measure of each part = Total angle in a circle/Total parts

measure of each part  = 360/30

measure of each part  = 12 degrees

Hence the measure of each part is 12 degrees

Answer:

9x = x + 56

Step-by-step explanation:

Answer:

When you multiply a whole number by a square root, you just put the two together, with the whole number in front of the square root. For example, 2 * (square root of 3) = 2(square root of 3). If the square root has a whole number in front of it, multiply the whole numbers together.

Step-by-step explanation:

its there

Answer:

You need to show us the options

Step-by-step explanation:

Answer:

what’s the anwser?

Step-by-step explanation:

Answer:

Image 1:

1) True (Intersection is (2, 140)

2) False

3) Not sure, but I'm leaning towards F

4) True

Image 2: -4

Step-by-step explanation:

y = 50x + 40

y = 60x + 20

y = 50(6) + 40 = 340

y = 60(6) + 20 = 380

140 = 50x + 40

50x = 100

x = 2

140 = 60x + 20

60x = 120

x = 2

Image 2:

y= mx+b

y = -0.5x - 4

b is the y intercept

Answer:

9.37 km

Step-by-step explanation:

Total distance = length travelled in the bus + length travelled in the autorickshaw

7.87 km + 1.5km = 9.37 km

Answer:

$46.00

Step-by-step explanation:

$46.00 - $20 + $5 = $21

Answer:

12

Step-by-step explanation:

2*12-4=20

Answer:

x = 12

Step-by-step explanation:

2x - 4 = 20

2x = 20 + 4

2x = 24

x = 24/2

x = 12

Answer:

x = 9

Step-by-step explanation:

x−(3)(3=x+−9 )

Answer:

y = - 5/2

Step-by-step explanation:

Answer:

B :  y axis is parallel

     x axis is perpendicular

  4:     (4,8) (4,10)

5: (4,25)

Step-by-step explanation:

Hope this helps, and if you can please mark me Brainiest.

Answer:

11/5 = 2 1/5

11/5 = 2.2

Step-by-step explanation:

Answer: Umm

Step-by-step explanation:

Answer:

Where is the homework?

Step-by-step explanation:

Answer:

d= 90 degrees

e= 27 degrees

f= 153 degrees

Step-by-step explanation:

yes