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2 years ago

What is the surface area of the Triangular prism? Pls answer ASAP I WILL GIVE BRAINLIEAST.

Mathematics

2 answers:

forsale [732]2 years ago

8 0

Solution:

Note that:

Surface area = 2(Area of triangle) + 3(Area of rectangle)

Finding the area of triangle:

Area of triangle = 1/2 x 4 x 5
=> Area of triangle = 1/2 x 20
Area of triangle = 10 cm²

Finding the area of rectangle:

Area of rectangle = 5 x 10
=> Area of rectangle = 50 cm²

Using the formula of surface area:

Surface area = 2(Area of triangle) + 3(Area of rectangle)
=> Surface area = 2(10) + 3(50)
=> Surface area = 20 + 150
=> Surface area = 170 cm²

goldenfox [79]2 years ago

4 0

Answer:

170cm²

Step-by-step explanation:

so the middle rectangle part first

15x10=150

then there's triangles so i'm gonna skip the divided by 2 part.

5x4=20

150+20=170

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B. What is the volume of the prism in cm3? Show your reasoning. If you

Anastaziya [24]

Answer:

Step-by-step explanation:

Volume of a rectangular prism is length × height × width

Length=7 1/2

Width= 15 1/2

Height=12

Volume of the prism is therefore:

7 1/2×12×15 1/2= 1395cm3

No of cubes with edge length 1/2 to fit into the prism will be:

Volume of cube is L*W*H

1/2*1/2*1/2= 1/8cm3

Therefore the no of cubes to fit into the Prism will be:

1395/(1/8)= 11160 cubes.

If one was stuck,the number of 1/2 edge length cube to fit into 1cm will be:

1/(1/8)= 8 cubes

8 0

2 years ago

The length of a rectangle is six times it’s width. If the area of the rectangle is 150ft^2, find its perimeter.

sineoko [7]

Answer:

Perimeter = 70ft

Step-by-step explanation:

Area of a rectangle is:

area = (length * width)

150 = a * b

a = 6b

a = length

b = width

then:

150 = 6b*b

150 = 6b²

b² = 150/6

b² = 25

√b² = √25

b = 5ft

a = 6b

a = 6*5

a = 30ft

then:

perimeter of a rectangle is:

p = 2(a+b)

p = 2(30 + 5)

p = 2*35

p = 70ft

7 0

2 years ago

A boat is heading towards a lighthouse, whose beacon-light is 139 feet above the

Novay_Z [31]

The horizontal distance between light house and boat is 1588.78 feet approximately.

The figure is given by,

Here, AB = height of the lighthouse bacon light above the water = 139 feet

Now angle ACB = 5 degree

Let the horizontal distance of light house from the boat = BC = x feet

So by trigonometric function we get,

tan 5 = AB/BC

tan 5 = 139/x

x = 139/tan 5 = 1588.78 (approximately)

Hence the horizontal distance between light house and boat is 1588.78 feet approximately.

To know more about Trigonometric Function refer to:

brainly.com/question/1143565

#SPJ9

5 0

1 year ago

Solve the quadratic equation by factoring. 9x^2+24x+20=4

const2013 [10]

D. -4/3

Let's solve your equation step-by-step.

9x2+24x+20=4

Step 1: Subtract 4 from both sides.

9x2+24x+20−4=4−4

9x2+24x+16=0

Step 2: Factor left side of equation.

(3x+4)(3x+4)=0

Step 3: Set factors equal to 0.

3x+4=0 or 3x+4=0

x= −4 /3

Hope This helps

5 0

3 years ago

Multiply (x-1)(x³+4x²+4x-1) and combine like terms. Explain how you reached your answer.

Hitman42 [59]

Answer:

x⁴+3x³ -5x +1

Step-by-step explanation:

To multiply this we are going to multiply each term of the binomial by each term of the polynomial.

$(x-1)(x^{3}+4x^{2} +4x-1)\\=x^4+4x^3+4x^2-x -x^3-4x^2-4x+1$

Now we are going to combine like terms (this means we are going to sum up terms with the same exponent)

$x^4+4x^3+4x^2-x -x^3-4x^2-4x+1 = x^4 +(4x^3-x^3)+(4x^2-4x^2)+(-x-4x)+1\\=x^4+3x^3-5x+1$

Thus, the answer is x⁴+3x³ -5x +1

5 0

3 years ago