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3 years ago

Please help me now!!!

2 answers:

6 0

Any equilateral triangle has 3 angles of 60° each as all the angles have to add to 360° and there must be 3 equal sides. As no side length is specified you can make infinitely many different equilateral triangles provided they all have different side lengths.

Korvikt [17]3 years ago

3 0

Answer:

<h2>D. Infinitely many</h2>

Step-by-step explanation:

In this case, the number of equilateral triangles we could make is restricted by the length of its sides. However, this problem doesn't restrict any side, it doesn't specifies a length for all sides, it only gives the angles, which have to be equal to 60° because it's a equilateral triangle.

This means that we could make infinitely many triangles with angles of 60°, it could be a triangles with sides of 1 unit long, 2 units, or 100 units long, all of them would have angles of 60°.

Therefore, the right answer is D.

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1. The figure shows the regular triangular pyramid SABC. The base of the pyramid has an edge AB = 6 cm and the side wall has an

Musya8 [376]

Given:

• AB = 6 cm

• SM = √15 cm

Let's solve for the following:

• 1) the base elevation AM.

Given that we have a regular triangular pyramid, the length of the three bases are equal.

AB = BC = AC

BM = BC/2 = 6/2 = 3 cm

To solve for AM, which is the height of the base, apply Pythagorean Theorem:

$\begin{gathered} AM=\sqrt{AB^2-BM^2} \\ \\ AM=\sqrt{6^2-3^2} \\ \\ AM=\sqrt{36-9} \\ \\ AM=\sqrt{27} \\ \\ AM=5.2\text{ cm} \end{gathered}$

The base elevation of the pyramid is 5.2 cm.

• (2)., The elevation SO.

To find the elevation of the pyramid, apply Pythagorean Theorem:

$SO=\sqrt{SM^2-MO^2}$

Where:

SM = √15 cm

MO = AM/2 = 5.2/2 = 2.6 cm

Thus, we have:

$\begin{gathered} SO=\sqrt{(\sqrt{15})^2-2.6^2} \\ \\ SO=\sqrt{15-6.76} \\ \\ SO=2.9\text{ cm} \end{gathered}$

Length of SO = 2.9 cm

• (3). Area of the base:

To find the area of the triangular base, apply the formula:

$A=\frac{1}{2}*BC*AM$

Thus, we have:

$\begin{gathered} A=\frac{1}{2}*6^*5.2 \\ \\ A=15.6\text{ cm}^2 \end{gathered}$

The area of the base is 15.6 square cm.

• (4). Area of the side surface.

Apply the formula:

$SA=\frac{1}{2}*p*h$

Where:

p is the perimeter

h is the slant height, SM = √15 cm

Thus, we have:

$\begin{gathered} A=\frac{1}{2}*(6*3)*\sqrt{15} \\ \\ A=34.86\text{ cm}^2 \end{gathered}$

• (5). Total surface area:

To find the total surface area, apply the formula:

$TSA=base\text{ area + area of side surface}$

Where:

Area of base = 15.6 cm²

Area of side surface = 34.86 cm²

TSA = 15.6 + 34.86 = 50.46 cm²

The total surface area is 50.46 cm²

• (6). Volume:

To find the volume, apply the formula:

$V=\frac{1}{3}*area\text{ of base *height}$

Where:

Area of base = 15.6 cm²

Height, SO = 2.9 cm

Thus, we have:

$\begin{gathered} V=\frac{1}{3}*15.6*2.9 \\ \\ V=15.08\text{ cm}^3 \end{gathered}$

The volume is 15.08 cm³.

ANSWER:

• 1.) 5.2 cm

• 2.) 2.9 cm

• 3.) 15.6 cm²

• 4.) 34.86 cm²

• (5). 50.46 cm²

• 6). 15.08 cm³.

7 0

10 months ago

Rachel wants to know the mean price of all the sunglasses on a display rack.

devlian [24]

The mean price of the sunglasses is $17.

If you add up all the values, you will get a total of 136. Now, divide this total by the total number of values.

There are 8, so 136 divided by 8 is 17. That is the mean.

8 0

3 years ago

Read 2 more answers

Please helpppp??? Correct answer ?

Karolina [17]

Answer:

x = 15m

Step-by-step explanation:

The second triangle (large) is 3 times greater than the first triangle (small).

6 x 3 = 18 4 x 3 = 12 5 x 3 = x

5 x 3 is 15, so x is 15m

7 0