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3 years ago

Which diagram contains a pair of similar triangles?

Mathematics

1 answer:

Musya8 [376]3 years ago

6 0

Answer:

Step-by-step explanation:

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What is the volume of this pyramid? 945 cm³ 1260 cm³ 1890 cm³ 2520 cm³ A pyramid with a right triangular base. The right triangu

notsponge [240]

Answer:

The volume of the pyramid is $1,260\ cm^{3}$

Step-by-step explanation:

we know that

The volume of the triangular pyramid is equal to

$V=\frac{1}{3}BH$

where

B is the area of the triangular base

H is the height of the pyramid

step 1

Find the area of the base B

$B=\frac{1}{2}bh$

we have

$b=14\ cm$

$h=18\ cm$

substitute

$B=\frac{1}{2}(14)(18)=126\ cm^{2}$

step 2

Find the volume

we have

$B=126\ cm^{2}$

$H=30\ cm$

substitute

$V=\frac{1}{3}BH$

$V=\frac{1}{3}(126)(30)=1,260\ cm^{3}$

5 0

2 years ago

Read 2 more answers

A candle in the shape of a circular cone has a base of radius r and a height of h that is the same length as the radius. which e

ladessa [460]

Answer:

$\frac{r(1-\sqrt{2})}{-3}$

Step-by-step explanation:

Volume of cone = $\frac{1}{3} \pi r^{2} h$

Since we are given that a circular cone has a base of radius r and a height of h that is the same length as the radius

= $\frac{1}{3} \pi r^{2} \times r$

= $\frac{1}{3} \pi r^{3}$

Surface area of cone including 1 base = $\pi r^{2} +\pi\times r \times \sqrt{r^2+h^2}$

Since r = h

So, area = $\pi r^{2} +\pi\times r \times \sqrt{r^2+r^2}$

= $\pi r^{2} +\pi\times r \times \sqrt{2r^2}$

= $\pi r^{2} +\pi\times r^2 \times \sqrt{2}$

Ratio of volume of cone to its surface area including base :

$\frac{\frac{1}{3} \pi r^{3}}{\pi r^{2} +\pi\times r^2 \times \sqrt{2}}$

$\frac{\frac{1}{3}r}{1+\sqrt{2}}$

$\frac{r}{3(1+\sqrt{2})}$

Rationalizing

$\frac{r}{3(1+\sqrt{2})} \times \frac{1-\sqrt{2}}{1-\sqrt{2}}$

$\frac{r(1-\sqrt{2})}{-3}$

Hence the ratio the ratio of the volume of the candle to its surface area(including the base) is $\frac{r(1-\sqrt{2})}{-3}$

8 0

3 years ago

Read 2 more answers

Ayuda :c aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa

Elan Coil [88]

Answer:

1) 2x^4/343

2) 2x^6/225

3) 2x^12/25

4) 5x^20/16807

Step-by-step explanation:

Hope this helps!

3 0

2 years ago

Solve for x. 3x ^2 -4 = 8

LenKa [72]

Answer:

x = ±2

Step-by-step explanation:

3x ^2 -4 = 8

Add 4 to each side

3x ^2 -4+4 = 8+4

3x^2 =12

Divide each side by 3

3x^2 =12

3x^2/3 = 12/3

x^2 = 4

Take the square root of each side

sqrt(x^2) = ±sqrt(4)

x = ±2

5 0

3 years ago

Read 2 more answers

Can someone plz help me my teacher keeps ignoring me

nalin [4]

Answer:

If your teacher keeps ignoring you. You can alwas ask a tutor on brainly if nobody answers your questions

3 0

3 years ago