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2 years ago

7

Geometry problem in the picture: find the missing side and round to the nearest tenth

1 answer:

Vlad1618 [11]2 years ago

4 0

Answer:

X= 19.9

Step-by-step explanation:

SOH CAH TOA

x is hypotenuse

Opposite is 15

Opposite & hypotenuse - sin

Sin(49) = o/h

Sin(49) = 15/h

xh

Sin(49) x h = 15

÷Sin(49)

h = 15 ÷ Sin(49)

h=19.8751949

Hope this helps!

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Can someone please help me and explain? please

mariarad [96]

Composite figure is made up of 4 triangles and a square.

Area of Square = Length x Length
Area of Square = 12 x 12
Area of Square= 144 cm²

Area of triangle = 1/2 x base x height
Area of triangle = 1/2 x 12 x 8
Area of triangle = 48 cm²

Area of 4 Triangles = 48 x 4
Area of 4 Triangles = 192 cm²

Total Area = 144 + 192 = 336 cm²

$\Longrightarrow \boxed { \boxed { Answer : 336 cm^{2} }}$

4 0

3 years ago

The perimeter of a rectangle is 128 cm, and the ratio of its sides is 5: 3. Find the area of a rectangle

Juliette [100K]

Answer:

Area = 960 cm^2

Step-by-step explanation:

Perimeter (P) = 2 (l + w)

P = 2l + 2w

Let the length be 5x

Let the width be 3x

From the question, P = 128.

Therefore:

128 = 2l + 2w

Divide both sides by 2.

l + w = 64

Recall we said:

l = 5x

w = 3x

So then:

5x + 3x = 64

8x = 64

Divide both sides by 8

x = 64/8

x = 8.

Since x = 8

Length = 5x = 5*8 = 40cm

Width =3x = 3 * 8 = 24cm

Area of a RECTANGLE:

Area = length * width

Area = 40 * 24

Area = 960 cm^2

7 0

3 years ago

Noa hopes to pick the winning ticket during her math class’s raffle. the student who picks the ticket with a true statement will

Natali5045456 [20]

Answer: The winning ticket is $2(x-6)=-35$ is equivalent to $2x=-23$ .

Step-by-step explanation:

Let's check all the options

$4(x-5)=35$ is not equivalent to $4x=40$

$\text{since }4(x-5)=35\\\Rightarrow4x-20=35\\\Rightarrow4x=35+20\\\Rightarrow4x=55$

$8(x-7)=35$ is not equivalent to $8x=28$

$\text{since }8(x-7)=35\\\Rightarrow8x-56=35\\\Rightarrow8x=35+56\\\Rightarrow8x=91$

$2(x-6)=-35$ is equivalent to $2x=-23$

$\text{since }2(x-6)=-35\\\Rightarrow2x-12=-35\\\Rightarrow2x=-35+12\\\Rightarrow2x=-23$

$9(x-6)=-35$ is not equivalent to $9x=-29$

$\text{since }9(x-5)=-35\\\Rightarrow9x--40=-35\\\Rightarrow9x=-35+40\\\Rightarrow9x=5$

Thus, the winning ticket is $2(x-6)=-35$ is equivalent to $2x=-23$ .

4 0

3 years ago

Read 2 more answers

Any one that knows this please help thanks : )

Olin [163]

Replace X with -2 then solve:

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

1 / -3 which is rewritten as -1/3

4 0

3 years ago

Read 2 more answers

Suppose M is the midpoint of FG. Find the missing measure.<br> MG = 13x + 1, FG = 15

Sholpan [36]

Answer:

14 - 13x

Step-by-step explanation:

take 13x + 1 away from 15

15 - (13x + 1) = 15 - 13x - 1 = 14 - 13x

4 0

3 years ago