Solve for variables<br>3(4−x)=13+3x pls show work

ahrayia [7]

The surface area of the triangular prism is calculated as: 153 cm²

<h3>How to Find the Surface Area of a Triangular Prism?</h3>

The net of a triangular consists of 2 identical triangular faces, and three different rectangular faces. Given the net of a triangular prism, to find the surface area, find the area of each given shape that makes up the net of the triangular prism.

Surface area of the triangular prism = 2(area of triangular base) + area of the 3 different rectangular faces.

Area of triangle = 1/2(b)(h)

Base (b) = 6 cm

Height (h) = 3 cm

Area of the 2 triangular faces = 2[1/2(6)(3)]

Area of the 2 triangular faces = 18 cm²

Area of the larger rectangular face:

Area = (length)(width) = (9)(6)

Area of larger rectangular face = 54 cm²

Area of the medium-sized rectangular face:

Area = (length)(width) = (9)(5)

Area of medium-sized rectangular face = 45 cm²

Area of the smaller rectangular face:

Area = (length)(width) = (9)(4)

Area of smaller rectangular face = 36 cm²

Surface area of the triangular prism = 18 + 54 + 45 + 36

Surface area of the triangular prism = 153 cm²

Learn more about the surface area of triangular prism on:

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7 0

2 years ago

Solve x+2<-4 or -5x<-15

andreev551 [17]

X + 2 < -4
x < -4 -2

•x < -6

4 0

3 years ago

Solve for x.<br> Please help

Andrei [34K]

Answer:

x=3

Step-by-step explanation:

(11-3)+3x+1 = 5x+3

8+3x+1 = 5x+3

9+3x= 5x+3

6=2x

x=3

8 0

3 years ago

The perimeter of a rectangular garden is 42 feet. The length of the garden is 5 feet more than twice the width. Find the length

zlopas [31]

Answer:

W=5.3, l= 15.6

Step-by-step explanation:

Perimeter of a rectangle p=2(l+w)

P= 42

W= x

L= 5+2x therefore 42=2(5+2x+x)

42=10+6x , 32=6x

Make x subject of formula

X=32/6 x=5.3 there for w=5.3

Where L= 5+2x ; L=5+2(5.3)

L therefore = 15.6

3 0

3 years ago

A basketball player has made 6060% of his foul shots during the season. Assume the shots are independent.

motikmotik

Answer:

a) 2.5 shots

b) 59.4 shots

c) 4.87 shots

Step-by-step explanation:

Probability of making the shot = 0.6

Probability of missing the shot = 0.4

a) The expected number of shots until the player misses is given by:

$E(X) = \frac{1}{P(X)}=\frac{1}{0.4} \\E(X) = 2.5\ shots$

The expected number of shots until the first miss is 2.5

b) The expected number of shots made in 99 attempts is:

$E=99*0.6\\E=59.4\ shots$

He is expected to make 59.4 shots

c) Let "p" be the proportion shots that the player make, the standard deviation for n = 99 shots is:

$s=\sqrt{n*p*(1-p)}\\ s= 4.87\ shots$

The standard deviation is 4.87 shots.

7 0

3 years ago

Solve for variables3(4−x)=13+3x pls show work