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2 years ago

Are the triangles shown congruent?

Mathematics

1 answer:

boyakko [2]2 years ago

5 0

Answer:

the second one i think

Step-by-step explanation:

because both have 2 sides with 1 angle

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What is the surface area of this composite solid?______________ square feet 242 319 363 517

jeka57 [31]

Answer:

<h2>The right answer is 415.4 cubic feet.</h2>

Step-by-step explanation:

As you can observe in the image attached, the composite figure is formed by a square prism and a pyramid on top.

We need to find the volum of each part separately.

<h3> Square prism.</h3>

$V_{prims}=11 \times 11 \times 2=242 \ ft^{3}$

<h3>Square pyramid.</h3>

First, we need to find the height of the pyramid. We already know the height of each triangular face of the pyramid, which divides equally the side.

Let's use Pythagorean's Theorem to find the height of the pyramid.

$7^{2}=h^{2} +(5.5)^{2}\\ 49-30.25=h^{2}\\ h=\sqrt{18.75} \approx 4.3$

The height is 4.3 feet, approximately.

Now, we find the volume of the pyramid

$V_{pyramid}=\frac{1}{3}(11 \times 11 \times 4.3) \approx 173.4ft^{3}$

The sum of both figures represents the total volume of the composite figure

$V_{total}=242+173.4=415.4ft^{3}$

Therefore, the right answer is 415.4 cubic feet.

3 0

2 years ago

Read 2 more answers

Any help if possible Thank you ❤

Mariana [72]

$v = \frac{1}{3} \pi {r}^{2} h \\ r = 8 \: cm \\ h = 15 \: cm$
From the diagram, we can see that the radius of the cone is 8cm and the height of the cone is 15cm. We then just plug these numbers into the formula and simplify:
$v = \frac{1}{3} \pi {r}^{2} h \\ v = \frac{1}{3} \pi {(8)}^{2} (15) \\ v = 320\pi$
The volume of the cone is approximately 1005.3096 cm^3. With 3 sig figs, this is 1010 cm^3.

3 0

3 years ago

Solve algebraically 10+f=10

Sunny_sXe [5.5K]

10 + f = 10
-10 -10

f = 10 - 10

f = 0.

4 0

2 years ago

Ramon has started a workout program. On Monday, he did 10 push-ups. On Tuesday, he did 13 push-

nevsk [136]

Answer:

he will do 19 pushups

Step-by-step explanation:

He will do 19 push ups because the pattern Is going up by 3 each days so if you add 3 to 16 you will get 19!!!!!

Hope This Helped :)

7 0

2 years ago

Read 2 more answers

How do changes in labor productivity affect the us standard of living

Zigmanuir [339]

Answer:

the answer is -Xax.

Step-by-step explanation:

4 0

1 year ago