Read The question and Then give Me The answer for number 20

A solid oblique pyramid has an equilateral triangle as a base with an edge length of 4 cm and an area of 12 cm2. What is the vol

Pavel [41]

Solution:

Let me define pyramid first.A pyramid is a Polyhedron , whose base can be any polygon and it's faces are triangular which meet at a point called vertex.

Volume of Pyramid = $\frac{1}{2}\times{\text{Area of Base}\times{\text{Height}$

Side of base which is an equilateral triangle= 4 cm

Area of whole pyramid = 12 square cm

Area of Equilateral triangle having side 4 cm= $\frac{\sqrt3}{4}\times(Side)^2=\frac{\sqrt3}{4}\times(4)^2=4 \sqrt3$ cm²

So, Area of three triangle which are faces of pyramid = (12 - 4 √3)cm²

Area of triangle = $\frac{1}{2} \times (Base)\times(Height)$

12 - 4 √3= $\frac{1}{2} \times (4)\times(Height)$

Height = $\frac{12-4\sqrt3}{2}$

Height=(6-2√3) cm

Volume of pyramid = Area of Equilateral triangle which is it's Base × Height of Pyramid

=4√3 × (6-2√3) cm³

=(24 √3 -24)

= 24 (1.732-1)

=24 × 0.732

=17.568 cm³

8 0

3 years ago

Read 2 more answers

Write a rule to describe each transformation

Veronika [31]

Answer:

k = 2

Step-by-step explanation:

the dilation k is the scale factor. A scale factor in math is the ratio between corresponding measurements of an object and a representation of that object. To find the scale factor k, we will compare the original points with their transformation

Point R is at (-1,2), and R' is at (-2,4).

divide the ys: 4/2 =2

divide the xs: -2/-1 =2

therefore the scale factor is 2

3 0

2 years ago

A circle representing a pool is graphed with a center at the origin. Grant enters the pool at point A and swims over to a friend

anyanavicka [17]

Answer:

The equation of Grant's path is y = 4 - x over 2 ⇒ 2nd answer

Step-by-step explanation:

The form of the linear equation is y = m x + b, where

m is the slope of the line
b is the y-intercept (value y at x = 0)

The formula of the slope of a line is $m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

∵ Grant's path is a line from point A to point B

∴ The equation of AB represents Grant's path

Lets find the slope of AB using the formula of the slope above

∵ A = (8 , 0)

∵ B = (-4 , 6)

∴ $x_{1}$ = 8 and $x_{2}$ = -4

∴ $y_{1}$ = 0 and $y_{2}$ = 6

∵ $m=\frac{6-0}{-4-8}=\frac{6}{-12}$

∴ $m=-\frac{1}{2}$

Substitute the value of m in the form of the equation

∵ y = m x + b

∴ y = $-\frac{1}{2}$ x + b

∵ b is the value of y at x = 0

∵ y = 4 at x = 0 ⇒ from the figure

∴ b = 4

∴ y = $-\frac{1}{2}$ x + 4

We can write $-\frac{1}{2}$ x as $-\frac{x}{2}$

∴ y = $-\frac{x}{2}$ + 4

- Switch the two terms of the right hand side

∴ y = 4 - $\frac{x}{2}$

The equation of Grant's path is y = 4 - $\frac{x}{2}$

4 0

3 years ago

Geri spent Friday, Saturday and Sunday selling a total of 24 magazines orders for her school.The amounts on those 3 days were co

ryzh [129]

The sale on Friday = x = 6

The sale on Saturday = x+2 = 6 + 2 =8

The sale on Sunday = x+4 = 6+4 =10

Step-by-step explanation:

Let x be the sale of Friday

Then

x+2 will be the sale of Saturday

x+4 will be the sale of Sunday

According to the given statement, that the total sales were 24

$x+(x+2)+(x+4) = 24\\x+x+2+x+4 = 24\\3x+6 = 24\\Subtracting\ 6\ from\ both\ sides\\3x+6-6=24-6\\3x=18\\Dividing\ both\ sides\ by\ 3\\\frac{3x}{3} = \frac{18}{6}\\x=6$

The sale on Friday = x = 6

The sale on Saturday = x+2 = 6 + 2 =8

The sale on Sunday = x+4 = 6+4 =10

Keywords: Linear equations

Learn more about linear equations at:

#LearnwithBrainly

6 0

3 years ago

What is 63.5 divided by 5 estimating qoutients i need help

Oksi-84 [34.3K]

So basically your gonna regaurd 63.5 as 60 +3.5, 60 is 5*12 and the remaining 3.5 is less than the divisor 5, so it would be the remainder
anwser is 63.5/5 treat as 60/5+3.5/5
so anwser is 60/5+3.5/5=0.7=12.7

5 0

3 years ago