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Answer:

1) L1 = 123

L3 = 57

2) L1 = 49

L3 = 131

3) L2 = 116

L4 = 64

4) L1 = 108

L2 = 72

5) L3 = 69

L4 = 111

6) L3 = 124

L4 = 56

Answer:

x = 11.5

Step-by-step explanation:

[tex] \sin \: 35 \degree = \frac{x}{20} \\ \\ x = 20 \sin \: 35 \degree \\ \\ x = 11.471528727 \\ \\ x = 11.5[/tex]

Answer:

f(x) = 4x^2 - 13

Step-by-step explanation:

f(x)=4(x-2)^2 + 3 parentaties first

f(x) = 4 (x^2 - 4)+ 3 multiply by what's infront parentaties

f(x) = 4x^2 - 16 + 3 combine light terms

f(x) = 4x^2 - 13 Answer

Hope I helped :)

Answer:

B. 4 hours

Step-by-step explanation:

add every number up

6+2+6+3+3= 20

then divide by the number of numbers you used to add with.

20÷5=4

4 hours

Answer:

Side length = 5.8 in

Perimeter = 29

Area = 58 in²

Step-by-step explanation:

✔️Find Side length using trigonometric ratio:

Angle at center of a pentagon is always 36° (we have measure of a full circle, 360, divided by 10 smaller triangles = 36°)

So:

Reference angle = 36°

Adjacent side = 4 in.

Opp = ½ of the side length of the polygon = x (let's represent this as x)

Thus, apply TOA:

Tan 36 = Opp/Adj

Tan 36 = x/4

4*Tan 36 = x

x ≈ 2.9 in (nearest tenth)

Side length = 2*x = 2*2.9 = 5.8 in

✔️Perimeter = 5*side length

Perimeter = 5*5.8 = 29 in

✔️Area = ½aP

Where,

a = 4 in

P = 29

Plug in the values

A = ½*4*29

A = 58 in²

Answer:

151

Step-by-step explanation:

Answer:

151

Step-by-step explanation:

Answer:

Step-by-step explanation:

The laterial surface area is the sum of the areas of the triangles. There are two triangles with dimensions: base = 4 cm, height = 8cm and two triangles with dimensions: base = 5cm, height = 8.2cm.

The laterial surface area LSA is:

LSA = 2 • ( 4.8/2) + 2 • ( 5 • 8.2/2)

LSA = 4 • 8 + 5 • 8.2

LSA = 73 cm²

The total surface area SA is the LSA plus the area of the base of the pyramid, which is a rectangle with dimensions: 4cm x 5cm:

SA = LSA + 4 • 5

SA = 73 cm + 20 cm²

SA = 93 cm²

Answer:

Yes

Step-by-step explanation:

80² + 150² = 170²

6400 + 22500 = 28900

28900 = 28900

Answer:

Step-by-step explanation:

-2(10x + 3y)

-20x -6y         [-2 multiplied by 10x = 20x,      negative + positive = negative]

-5(6y -7x)

-30y + 35x

-20x -6y -30y +35x

35x - 20x     -30y -6y

          15x - 36y

Answer = 15x -36y

Answer:

- 120x + 288y

Step-by-step explanation:

Begin by summing the 2 expressions

- 2(10x + 3y) - 5(6y - 7x) ← distribute parenthesis

= - 20x - 6y - 30y + 35x ← collect like terms

= 15x - 36y

Now multiply the result by - 8

- 8(15x - 36y) ← distribute

= - 120x + 288y

Answer:

−28r−28

Step-by-step explanation:

−4(7r+7)

=(−4)(7r+7)

=(−4)(7r)+(−4)(7)

Answer:

For f(x) = 2x + 3 and g(x) = -x 2 + 1, find the composite function defined by (f o g)(x)

(f o g)(x) = f(g(x))

= 2 (g(x)) + 3

= 2( -x 2 + 1 ) + 3

= - 2 x 2 + 5 Given f(2) = 3, g(3) = 2, f(3) = 4 and g(2) = 5, evaluate (f o g)(3)

Step-by-step explanation:

Answer:

X=11

y=22

Step-by-step explanation:

[tex]tan60\frac{11\sqrt{3} }{x} \\\\\sqrt{3} =\frac{11\sqrt{3} }{x} \\\\x=\frac{11\sqrt{3} }{\sqrt{3} }[/tex]

⇒x=11

[tex]Sib 60=\frac{11\sqrt{3} }{y} \\\\\frac{\sqrt{3} }{2} =\frac{11\sqrt{3} }{y} \\\\y=\frac{11\sqrt{3} }{\sqrt{\frac{3}{2} } }[/tex]

⇒ y=22

hope it helps....

Answer:

x = - 6, x = - 4

Step-by-step explanation:

Given

x² + 10x + 24 = 0 ← in standard form

(x + 6)(x + 4) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 6 = 0 ⇒ x = - 6

x + 4 = 0 ⇒ x = - 4

9514 1404 393

Answer:

  (v -7)/(5v^2)

Step-by-step explanation:

Cancel common factors from numerator and denominator.

  [tex]\dfrac{v^2-49}{20v^3}\times\dfrac{4v^2-24v}{v^2+v-42}=\dfrac{4}{20}\cdot\dfrac{(v-7)(v+7)(v)(v-6)}{v^3(v+7)(v-6)}\\\\=\dfrac{1}{5}\cdot\dfrac{v-7}{v^2}\cdot\dfrac{v(v+7)(v-6)}{v(v+7)(v-6)}=\boxed{\dfrac{v-7}{5v^2}}[/tex]

Answer:

The second box is the answer

Step-by-step explanation:

Solution

V=whl=5·5·5=125

Answer:

The vertex is at (h, k), which here is (1, -16).

Step-by-step explanation:

Compare the given y = (x - 1)2 - 16          (which should be y = (x - 1)^2 - 16 )

to                               y = (x - h)^2 - 16.

We can readily see that h = 1 and k = -16.

The vertex is at (h, k), which here is (1, -16).

Answer:

Sure I would love to help you with factoring

Mark my answer as brainliest and I shall help you

Answer:

what do u want me to do withthis question

can u edit then I’ll edit

Step-by-step explanation:

Answer:

I got all right. Thanks.... ❤️

Answer:

z = 15 degrees, 5z = 75 degrees

Step-by-step explanation:

AYB is 180 degrees

CYD is 90

so the two missing angles sum to 180 - 90 = 90

z + 5z = 90

6z = 90

z = 15

5z = 75

Answer:

-180

Step-by-step explanation:

135/-270 = -1/2

67.5/135 = -1/2

The series is an infinite geometric series with r = -1/2

Since -1 < |r| < 1, the series has a sum

and equals a/(1 - r)       a = -270

S = a/(1 - r) = -270/(1 + 1/2) = -270/(3/2) = -180

Answer:

70/9

Step-by-step explanation:

You can rewrite 8 pounds as 72/9.

Take away 2/9 and you are left with 70/9.

Answer:

[tex]\frac{2}{9} x \frac{8}{1} = \frac{16}{9} = 1 \frac{7}{9}[/tex]

Answer:

Mean: 56.55

Median: 58

Minimum: 42

Maximum: 72

Q1: 45

Q2: 58

Q3: 68

IQR: 23

Range: 30

Answer:

It's A :)

Also can i please have brainliest :)

Answer:

A

Step-by-step explanation:

Answer:

c, the graph has a maximum point at (-3,-3)