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sp2606 [1]
3 years ago
14

Using only definition 2.2.3, prove that if (x

Mathematics
1 answer:
Anarel [89]3 years ago
7 0
You can use Google or a calculated but to check it but it's : 6
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A right square pyramid has a slant height of 25 feet, and the length of a side of the base is 14 feet. What is the height of the
Tanzania [10]

Answer: 24\ ft

Step-by-step explanation:

Given

The slant height of the square pyramid is l=25\ ft

The length of the side of the base is a=14\ ft

for the square pyramid, height is given by

\Rightarrow h=\sqrt{l^2-r^2}\quad \quad [\text{where r=}\frac{a}{2}]\\\Rightarrow h=\sqrt{25^2-7^2}\\\Rightarrow h=\sqrt{625-49}\\\Rightarrow h=\sqrt{576}\\\Rightarrow h=24\ ft

Thus, the height of the prism is 24\ ft  

6 0
3 years ago
Read 2 more answers
How much interest would be earned on $3,700 in one year if it is invested at 4%?
malfutka [58]
I'd say $148 because you convert the percent into a decimal so
4%= 0.04

Then you multiply $3,700•0.04 = $148

So I'd say the interest earned on $3,700 in one year would be $148
8 0
3 years ago
A vertex of square is at(1,1) and its two parallel sides are y=x and y=x+1. find the equation of the remaining sides.Show your w
belka [17]

Answer:

\displaystyle y  =   - x  +  2

y =  - x  +1

Step-by-step explanation:

we are given a vertex of a square i.e <u>(</u><u>1</u><u>,</u><u>1</u><u>)</u>

and the equations of the two parallel sides

notice that, the given vertex coordinates satisfy one of the parallel side i.e <u>y=</u><u>x </u>which means that (1,1) points lie on one of Parallel sides

remember that,

every angles of a square is <u>9</u><u>0</u><u>°</u><u> </u>

therefore,

we need to figure out the remaining <u>Perpendicular</u><u> </u><u>line </u><u> </u>of the given Parallel sides so

let's figure out the perpendicular line of y=x line

recall that,

Parallel lines have the same slope thus

\displaystyle  m_{  \rm perpedicular} =  - 1

since we are given a vertex the equation of the perpendicular line should be

\displaystyle y - 1 =  - 1(x - 1)

distribute:

\displaystyle y - 1 =  - x  +  1

add 1 to both sides:

\displaystyle y  =   - x  +  2

to figure out the second perpendicular line we can consider the coordinates (0.5,0.5) of y=x equation

so the slope of the perpendicular line is -1

and the equation:

y - 0.5 =  - 1(x - 0.5)

distribute:

y - 0.5 =  - x  +0 .5

add 0.5 to both sides:

y =  - x  +1

and we are done!

4 0
3 years ago
F(x) =5x+8, g(x) = 2^2-1
Lana71 [14]

Answer:

Step-by-step explanation:

f(g(x) ) =  5(g(x)) +8

=5(3)+8

=15+8

=23

g( f(x) ) = 3(f(x))

=3(5x+8)

=15x +24

:)

7 0
3 years ago
Need help with a^2 × a^3
Digiron [165]
Use a^n × a^m = a^(n + m)

a^2 × a^3 = a^(2 + 3) = a^5
5 0
4 years ago
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