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3 years ago

What is the surface area of the triangular prism?

Mathematics

2 answers:

ryzh [129]3 years ago

8 0

Answer:

135 square feet.

Step-by-step explanation:

A triangular prism. The rectangular sides are 8 feet by 2.5 feet, 8 feet by 6 feet, and 8 feet by 6.5 feet. The triangular sides have a base of 2.5 feet and a height of 6 feet.

The prism has two triangular faces and three rectangular faces.

So, the surface area of the prism will be

$2(\frac{1}{2} \times 2.5 \times 6) + (8 \times 2.5) + (8 \times 6) + (8 \times 6.5)$

= 15 + 20 + 48 + 52

= 135 square feet. (Answer)

Alisiya [41]3 years ago

8 0

Answer:

it is 135

explanation:

there is this glitch, when you do a test of program math and you have to say the answer typed and no options, then put the answer, press the ENTER key, then the screen goes gray and you might see a text written saying "results: success

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Two friends practice taekwondo in the same class. The age of the older friend is three times that of the younger. The sum of the

vampirchik [111]

Answer:

4 and 12

Step-by-step explanation:

a = young

b = old

b = 3a, a+b =2a+8 => a = 4, b = 12

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2 years ago

Part A Prove that when x > 1, a triangle with side lengths a = x2 − 1, b = 2x, and c = x2 + 1 is a right triangle. Use the Py

Nataly [62]

Step-by-step explanation:

Given : A triangle with side lengths $a = x^2-1, b = 2x, \text{ and } c = x^2 + 1$

To find : Prove that when x > 1, it is a right triangle. Use the Pythagorean theorem and the given side lengths to create an equation. Use the equation to show that this triangle follows the rule describing right triangles. Explain your steps ?

Solution :

For right triangle the Pythagorean theorem is to be satisfied.

i.e. $c^2=a^2+b^2$

Here, $a = x^2-1, b = 2x, \text{ and } c = x^2 + 1$

Substitute the values,

$(x^2+1)^2=(x^2-1)^2+(2x)^2$

$x^4+1+2x^2=x^4+1-2x^2+4x^2$

$x^4+1+2x^2=x^4+1+2x^2$

LHS=RHS

It is a right triangle.

7 0

3 years ago

Help pleaseeeeeee and good morning

dimulka [17.4K]

Answer:

1a w=-9 1b s=20/7

2a x=12 2b v=11

3a b=10 3b a=9/5

4a c=1 4b x=2

Step-by-step explanation:

6 0

2 years ago

Write the slope-intercept form of the equation of the line (y=Mx+b) through the given point:

OleMash [197]

Answer:

Step-by-step explanation:

$M=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{2-0}{-2-(-3)}=\dfrac21=2$

y = 2x + b passes through point (-3, 0), so:

0 = 2(-3) + b

0 = -6 + b

b = 6

Therefore the equation: <u>y = 2x + 6</u>

3 0

2 years ago

Find the values of x and y that make these triangles congruent by the HL Theorem.

RideAnS [48]

According to HL theorem if one leg and hypotenuse of one right triangle are equal to one leg and hypotenuse of other right triangle, then the triangles are congruent.

By using this theorem we can set up the system of equations as follows:

x=y+1 ...(1)

2x+3= 3y + 3 ..(2)

By using equation (1) next step is to plug in y+1 for x in equation (2). So,

2 ( y + 1) + 3 = 3y + 3

2y + 2 + 3 = 3y + 3 By using distribution property.

2y + 5 = 3y + 3

2y + 5 - 5 = 3y + 3 - 5 Subtract 5 from each side.

2y = 3y - 2

2y - 3y = -2 Subtract 3y from each sides.

-y = -2

So, y=2

Next step is to plug in y=2 in equation (1) to get the value of x. Hence,

x= 2+1

So, x=3 and y=2 make these triangles congruent.

So, the correct choice is 3. x = 3, y = 2.

7 0

2 years ago