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3 years ago

Find the surface area of the triangular pyramid. The side lengths of the base are equal.

Mathematics

1 answer:

Sliva [168]3 years ago

3 0

Answer:

Step-by-step explanation:

We have

three triangles with the base <em>b = 10cm</em> and the height <em>h₁ = 6cm</em>

one triangle with the base <em>b = 10cm</em> and the height <em>h₂ = 8.7cm</em>.

The formula of an area of a triangle:

$A=\dfrac{b\cdot h}{2}$

<em>h</em><em> - height</em>

Substitute:

$A_1=\dfrac{(10)(6)}{2}=\dfrac{60}{2}=30\ cm^2$

$A_2=\dfrac{(10)(8.7)}{2}=\dfrac{87}{2}=43.5\ cm^2$

$S.A.=3A_1+A_2\\\\S.A.=3(30)+43.5=90+43.5=133.5\ cm^2$

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Comedy Drama Action Horror

Neporo4naja [7]

Answer:

B. Drama is the most popular genre

Step-by-step explanation:

⇒ Comedy: 5

Drama: 7

Action: 3

Horror: 1

⇒ Comedy: 2

Drama: 11

Action: 4

Horror: 5

<h3 /><h3>With this information we can start ruling out our answer choices.</h3>

<u>A. horror is the most popular genre</u>

Lets see, both of the sum of both days for <u>Horror is 6</u>, for <u>Action is 7,</u> <u>Drama is 18,</u> and <u>Comedy is 7, </u>with this we can conclude that<u> </u><u><em>horror is actually the least popular genre</em></u>

<u>B. Drama is the most popular genre</u>

Using the information we gathered previously, we know <u>Drama is the most popular genre</u>, therefore this option is a high possibility.

<u>C. People like comedies because they like to laugh</u>

Although, I personally love comedies for this reason, <u>this chart does not prove that people like comedies for this reason.</u>

<u>D. People don't like horror movies because they don't like to be scared</u>

As for option C, the <u>chart does not prove that is the case!</u>

<h3>Therefore we can conclude that <u>option B</u> is the best choice.</h3>

4 0

2 years ago

Pls help question is in the picture

Tju [1.3M]

Answer:

x = 5

Step-by-step explanation:

Sum up all the angles in a triangle is 180 degree, so 4x + 135 + 25 = 180, solve for x get x = 5

3 0

3 years ago

Please help me with this....

amm1812

The answer to the question is a

4 0

4 years ago

Choose the correct simplification of the expression (2x - 6)(3x2 - 3x - 6). (4 points) Select one: a. 6x3 - 24x2 + 6x + 36 b. 6x

attashe74 [19]

Answer:

a. 6x^3 - 24x^2 + 6x + 36

Step-by-step explanation:

These are expanded using the distributive property, which is also used for collecting terms.

(2x - 6)(3x2 - 3x - 6) = 2x(3x^2 - 3x - 6) - 6(3x^2 - 3x - 6)

= 6x^3 -6x^2 -12x -18x^2 +18x +36

= 6x^3 +(-6-18)x^2 +(-12 +18)x +36

= 6x^3 -24x^2 +6x +36 . . . . . . matches selection A

_____

<em>Comment on strategy</em>

For multiple-choice questions, it often works well to find a way to identify a viable answer with the minimum amount of work. Comparing these answer choices, you can see that determining the correct values of the x-term and the constant term will let you pick the right choice.

The constant term is easy, because it is simply the product of the constants (-6)(-6) = 36. This narrows the choices to A and C.

The x-term will be the sum of products of x-terms and constants:

2x(-6) +(-6)(-3x) = -6(2x-3x) = -6(-x) = 6x

This narrows the choices to A alone.

5 0

4 years ago

Find tan of 45 degrees

Arturiano [62]

Answer:

tan(45°) = 1

Step-by-step explanation:

We know that sin (45°) = √2/2, and cos(45°) = √2/2.

Given that tan(x) = sen(x) / cos(x), we get:

tan(45°) = (√2/2) / (√2/2) = 1

Therefore, tan(45°) = 1

Attached you will find the important angles summary

6 0

3 years ago