All categories

3 years ago

Algebra 2 | Drag the tiles to the correct boxes to complete the pair match each solution with its solution set

Mathematics

1 answer:

inn [45]3 years ago

6 0

Answer:

256= 4 power 4 and 125 = 5 power 3

You might be interested in

A cone and a triangular pyramid have a height of 9.3 m

Otrada [13]

Answer:

$x=17.1\ in$

Step-by-step explanation:

<u><em>The complete question is</em></u>

A cone and a triangular pyramid have a height of 9.3 m and their cross-sectional areas are equal at every level parallel to their respective bases. The radius of the base of the cone is 3 in and the other leg (not x) of the triangle base of the triangular pyramid is 3.3 in

What is the height, x, of the triangle base of the pyramid? Round to the nearest tenth

The picture of the question in the attached figure

we know that

If their cross-sectional areas are equal at every level parallel to their respective bases and the height is the same, then their volumes are equal

Equate the volume of the cone and the volume of the triangular pyramid

$\frac{1}{3}\pi r^{2}H=\frac{1}{3}[\frac{1}{2}(b)(h)H]$

simplify

$\pi r^{2}=\frac{1}{2}(b)(h)$

we have

$r=3\ in\\b=3.3\ in\\h=x\ in\\pi=3.14$

substitute the given values

$(3.14)(3)^{2}=\frac{1}{2}(3.3)(x)$

solve for x

$28.26=\frac{1}{2}(3.3)(x)$

$x=28.26(2)/3.3\\x=17.1\ in$

7 0

3 years ago

Read 2 more answers

A man invest 5,200,part at 4% and the balance at 3%. If his total income for the two investments is $194,how much money did he i

Fed [463]

Let the amount invested at 4% be = x

Let the amount invested at 3% be = y

Given is:

$x+y=5200$ or $x=5200-y$ .... (1)

As, total income for the two investments is $194, so equation is:

$0.04x+0.03y=194$ ....(2)

Putting value of x from (1) in (2)

$0.04(5200-y)+0.03y=194$

$208-0.04y+0.03y=194$

$0.01y=14$

$y=1400$

And x=5200-y

$x=5200-1400=3800$

Hence, money invested at 4% is $3800 and money invested at 3% is $1400

6 0

3 years ago

Graph the line whose y -intercept is 5 and whose x -intercept is −7 .

Tcecarenko [31]

Look at the vertical line on the graph and find five
Place a dot there
Look at the horizontal line and look to the left to find -7
Place a dot there
Now, just get a ruler and draw a line connecting the two dots

8 0

3 years ago

Mathhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh

kirill115 [55]

Question? i cant see again friend

8 0

3 years ago

There are 96 raisins and 24 cashews in each package of granola. What is the unit rate in raisins per cashew?

sveta [45]

96 divided by 24 is 4. The unit rate is 4/1. 4 represents raisins, and the 1 represents the cashew.

6 0

3 years ago

Read 2 more answers