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2 years ago

Ajay wraps a gift box in the shape of a triangular pyramid. The figure below shows a

Mathematics

1 answer:

Arisa [49]2 years ago

5 0

Ajay wraps a gift box in the shape of a triangular pyramid. The amount

of wrapping paper he uses is 173.2 square inches.

<h3>How to calculate the surface area of a triangular pyramid?</h3>

The formula for calculating the total surface area is expressed as:

Area = 4(area of triangle)

The area of the triangle

A = 0.5(8.66)(10)

A = 43.3 square inches

The total surface area will be

TSA = 4(43.3)

TSA = 173.2 square inches

Hence the amount of wrapping paper Ajay uses is 173.2 square inches

Learn more on the total surface area here:

brainly.com/question/1297098

#SPJ1

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Daniel [21]

Answer:

2.17ft/s

Step-by-step explanation:

Look at the sketch of ladder at the beginning and after 3 seconds it starts to fall,

Distance of ladder from the wall 3 seconds after ladder starts to fall = Initial distance+ Velocity× time

= 6 + 2×3

= 12ft

Use trignometry to find out the speed of the top of ladder

cosθ= 12/20

θ= 0.825 rad

tan θ= v/2

v= 2.17ft/s

7 0

3 years ago

Consider this quadratic equation. 2x2 − 1 = 3x + 4 Which equation correctly applies the quadratic formula?

Mariulka [41]

Answer:

$\frac{-(-3)+-\sqrt{(-3)^2-4(2)(-5)}}{2(2)}$

Step-by-step explanation:

Quadratic formula: $\frac{-b+-\sqrt{b^2-4ac} }{2a}$

$2x^2-1=3x+4\\\\2x^2-3x-5=0\\\\\\frac{-(-3)+-\sqrt{(-3)^2-4(2)(-5)}}{2(2)} \\\frac{3+-\sqrt{9+40} }{4}$

$x = \frac{3+-7}{4}$

Hope this helps and God bless!

6 0

2 years ago

Simplify completely quantity 8 x minus 56 over quantity x squared minus 49 divided by quantity x minus 6 over quantity x squared

34kurt

Hello

So the question ask to simplify the said equation. In getting its answer base on that equation you must first factor out each of them then find out the common of them to cancel them out that could lead you to your answer. In my calculation, the answer is D. 8 open parentheses x plus 4 close parentheses over quantity x minus 6. I hope this would help you

Have a nice day

6 0

3 years ago

a red hot ar balloon is 100 feet off the ground and is rising at a rate of 8 feet per second. a green hot air balloon is 160 fee

zhenek [66]

Answer:

it would be a fraction of a sec

Step-by-step explanation:

see if you just simply took out a calculator you would see its not possible unless you knew what the balloon is descending at during the fraction of the seconds

7 0

3 years ago

The perimeter of a rectangle is 34 units. Its width is 6.5 point, 5 units.

12345 [234]

<h3><u>Question:</u></h3>

The perimeter of a rectangle is 34 units. Its width W is 6.5 units.

Write an equation to represent the perimeter in terms of the length L, and find the value of L

<h3><u>Answer:</u></h3>

The length of rectangle is 10.5 units

<h3><u>Solution:</u></h3>

Given that,

Perimeter of rectangle = 34 units

Width of rectangle = 6.5 units

Let "L" be the length of rectangle

<em><u>The perimeter of rectangle is given by formula:</u></em>

Perimeter = 2(length + width)

<em><u>Substituting the values we get,</u></em>

$34 = 2(L + 6.5)$

Thus the equation is found

<em><u>Solve for "L"</u></em>

$L + 6.5 = \frac{34}{2}\\\\L + 6.5 = 17\\\\L = 17 - 6.5\\\\L =10.5$

Thus length of rectangle is 10.5 units

6 0

3 years ago