A composite figure is formed by combining a square and a triangle. Its total area is 57.5 ft2. The area of the triangle is 32.5 ft2. What is the length of each side of the square? Complete the explanation. The area of the square is ft2, so each side of the square is ft.

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:

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:

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:

x = 9

Step-by-step explanation:

x−(3)(3=x+−9 )

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:

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:

y = - 5/2

Step-by-step explanation:

Answer:

376-182=194

so 194 us the 1st

182 is the 2nd

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]

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: Umm

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:

18 un²

Step-by-step explanation:

Answer:

You need to show us the options

Step-by-step explanation:

Answer:

what’s the anwser?

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:

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:

$46.00

Step-by-step explanation:

$46.00 - $20 + $5 = $21

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:

Where is the homework?

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:

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:

d= 90 degrees

e= 27 degrees

f= 153 degrees

Step-by-step explanation:

yes

Answer:

wheres the graph? u can insert a image!

Step-by-step explanation:

Answer:

blue =5/13. speckled=4/13

Answer:

9x = x + 56

Step-by-step explanation:

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: D

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Calculate the lengths of JK and JL using the distance formula

d  = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = J(2, 1) and (x₂, y₂ ) = K(- 4, 2)

JK = [tex]\sqrt{(-4-2)^2+(2-1)^2}[/tex]

     =  [tex]\sqrt{(-6)^2+1^2}[/tex]

     = [tex]\sqrt{36+1}[/tex]

     = [tex]\sqrt{37}[/tex] ≈ 6.1 units

Repeat with (x₁, y₁ ) = J(2, 1) and (x₂, y₂ ) = L(7, 4)

JL = [tex]\sqrt{(7-2)^2+(4-1)^2}[/tex]

    = [tex]\sqrt{5^2+3^2}[/tex]

    = [tex]\sqrt{25+9}[/tex]

    = [tex]\sqrt{34}[/tex] ≈ 5.8 units

Thus JK is longer than JL →  A

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: