Which statements about squares and equilateral triangles are true?

Keith_Richards [23]

We know that

[volume of a pyramid]=[area of the base]*h/3

a) The scale factor of the smaller pyramid to the larger pyramid in simplest form

12/20----------> 3/5
the answer Part a) is 3/5

(b) The ratio of the area of the base of the smaller pyramid to the base of the larger pyramid

[The ratio of the area of the base of the smaller pyramid to the base of the larger pyramid]--------> (3/5)²------> 9/25------> 0.36

[volume of a larger pyramid]=8192 cm³
h=20 cm
so
[8192]=[area of the base larger pyramid]*20/3
[area of the base larger pyramid]=8192*3/20------> 1228.80 cm²

[area of the base smaller pyramid]=(3/5)²*1228.80-----> 442.37 cm²

The ratio of the area of the base of the smaller pyramid to the base of the larger pyramid-----------> 442.37/1228.8--------> 0.36
0.36--------> is equal to (3/5)²

the answer part b) is 0.36

(c) Ratio of the volume of the smaller pyramid to the larger

[Ratio of the volume of the smaller pyramid to the larger]=(3/5)³---> 27/125
27/125------> 0.216

the answer Part c) is 0.216

(d) The volume of the smaller pyramid

[The volume of the smaller pyramid]=0.216*8192------> 1769.47 cm³

the answer part c) is 1769.47 cm³

8 0

3 years ago

Find x so that the two points are on the line with the given slope (1,-1) and (x,7): undefined

Annette [7]

Value of x for which the two points are on the line with the given slope (1,-1) and (x,7): undefined is $x=1$ .

Step-by-step explanation:

Here we have to Find x so that the two points are on the line with the given slope (1,-1) and (x,7): undefined . Let's find out:

We know that for any two points given as $P(x_1,y_1),Q(x_2,Y_2)$ slope of line is determined by :

⇒ $Slope = \frac{y_2-y_1}{x_2-x_1}$

According to question we have two points as $P(1,-1),Q(x,7)$ ∴

⇒ $Slope = \frac{y_2-y_1}{x_2-x_1}$

⇒ $Slope = \frac{7-(-1)}{x-1}$

But slope is undefined which is only possible when denominator is zero i.e.

⇒ $x-1=0$

⇒ $x=1$

Therefore , Value of x for which the two points are on the line with the given slope (1,-1) and (x,7): undefined is $x=1$ .

7 0

3 years ago

FInd the original price of the tent. A camping store increases the price of a tent by 25%. A customer then uses a $10 coupon for

rosijanka [135]

Answer:

The original price of the tent was $130,00.

Step-by-step explanation:

The original price of the tent will be called "x". The store increased the value by 25%, so the new value is the original one plus 0.25 of the original one, so the new value is 1.25*x. The costummer paid the increased value less the $10 from the coupon, so we have:

paid = 1.25*x - 10

Since he paid $152.5 for the tent we can compute the original value as shown bellow:

152.5 = 1.25*x - 10

1.25*x = 152.5 + 10

1.25*x = 162.5

x = 162.5/1.25 = 130

The original price of the tent was $130,00.

3 0

4 years ago

Read 2 more answers

The distance on a city grid is measured in blocks. On the grid, the coordinates for the location of your house are (2,6). The In

dolphi86 [110]

The answer is C) 16 blocks.

We will use the distance formula for this problem:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

From your house to the internet cafe:

$d=\sqrt{(8-6)^2+(12-2)^2}=\sqrt{2^2+10^2}=\sqrt{4+100}
\\
\\=\sqrt{104}=10.2$

From the internet cafe to your friend's house:
$d=\sqrt{(8-4)^2+(12-8)^2}=\sqrt{4^2+4^2}=\sqrt{16+16}=\sqrt{32}=5.7$

Together, we have 10.2+5.7=15.9, which rounds to 16 blocks.

7 0

3 years ago

If a recipe calls for 8 pounds of trimmed celery, which has a 75 percent yeild,how many pounds of untrimmed celeray are needed

Evgen [1.6K]

4 pounds of celery

Hope this helps:)

5 0

4 years ago