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aev [14]
3 years ago
14

A wire is attached at the top of a 500 ft vertical antenna and is staked in the ground 1200 ft from the base of the antenna. how

long in feet is the guy wire? (enter an exact number.)
Mathematics
1 answer:
Pie3 years ago
4 0
A^2 + b^2 = c^2
(500)^2 + (1200)^2 = c^2
1,690,000 = c^2
take the square root of 1,690,000
Answer is 1,300 feet
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Melanie was training for a race. The line plot below shows the number of miles Melanie ran last week.
aliya0001 [1]
3/4+1/4=1
I’m not sure why you put the thing about Melanie there.
7 0
3 years ago
2. The senior class is having a fundraiser to help pay for the senior trip. Selling a box of chocolates yields a profit of $2.45
BaLLatris [955]

Answer:

Step-by-step explanation:

350 chocolate     1599 of cookies

Step-by-step explanation:

c= box of chocolates

k=box of coockies

k< 550+3c , so   k-3c<550              

 k+c< 1950

 k-3c<550

I will multiply  the second by 3

k -  3c <  550

3k +3c <  5850

ADD BOTH

4k  <  6400

k  <   1600    Cookies should be less than 1600

Since cookies yield more than chocolates , to maximize profit they need to sell the maximum amount of cookies they can

1599 +350= 1949  (less than 1950)

The amount of cookies produced must be no more than 550 boxes plus 3 times the number of chocolates produced.

1599< 3(350) +550= 1050+550=1600)

1599<1600

1599 is at least double of 350 (it could be more than double)

4 0
3 years ago
How many variable terms are in the expression 3x3y +5x2-4y+z+9?numeric value only
natta225 [31]

Answer:

im pretty sure its 5

Step-by-step explanation:

x, y, x, y, z

Hope this helps!

4 0
3 years ago
In a circle a chord 10 inches long is parallel to a tangent and bisects the radius drawn to the point of tangency. How long is t
Lorico [155]
Check the picture below.

keeping in mind that the point of tangency for a radius line and a tangent is alway a right-angle, since the "red" chord is parallel to the "green" tangent line outside, then the chord is cutting the "green" radius there in two equal halves at a right-angle, as you see in the picture.

we know the chord is 10 units long, so 5 + 5, since is perpendicularity with the radius will also cut the chord in two equal halves.

anyhow, all that said, we end up with triangle you see on the right-hand-side, and then we can just use the pythagorean theorem.

\bf \textit{using the pythagorean theorem}&#10;\\\\&#10;c^2=a^2+b^2&#10;\qquad &#10;\begin{cases}&#10;c=hypotenuse\\&#10;a=adjacent\\&#10;b=opposite\\&#10;-------\\&#10;c=2a\\&#10;a=a\\&#10;b=5&#10;\end{cases}\implies (2a)^2=a^2+5^2

\bf (2^2a^2)=a^2+25\implies 4a^2=a^2+25\implies 3a^2=25&#10;\\\\\\&#10;a^2=\cfrac{25}{3}\implies a=\sqrt{\cfrac{25}{3}}\implies a=\cfrac{\sqrt{25}}{\sqrt{3}}\implies a=\cfrac{5}{\sqrt{3}}&#10;\\\\\\&#10;\textit{and then we can \underline{rationalize the denominator} }&#10;\\\\\\&#10;a=\cfrac{5}{\sqrt{3}}\cdot \cfrac{\sqrt{3}}{\sqrt{3}}\implies a=\cfrac{5\sqrt{3}}{\sqrt{3^2}}\implies a=\cfrac{5\sqrt{3}}{3}

7 0
4 years ago
100 point please help​
Allushta [10]

Answer:

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
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