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lutik1710 [3]
4 years ago
7

Solve the inequality –24 ≤ x – 3 – 8x.

Mathematics
1 answer:
o-na [289]4 years ago
6 0
-24 <span>≤ x- 3 -8x
+3      +3
-21 </span><span>≤ x - 8x
-21 </span><span>≤ -7x
/-7    /-7

x </span><span>≤ 3</span>
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Find the length of AB , given that DB is a median of the triangle and AC = 50.
natta225 [31]
Since DB is the median of the triangle, it would bisect the base AC. This would mean that AB and BC are equal halves of the whole AC. So, if AC is 50, then,

AC = AB + BC
since AB = BC,
AC = 2AB
50 = 2AB
AB = 50/2
AB = 25

The answer is 25.
4 0
4 years ago
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A car is moving at a fixed speed. The distance D that the car covers is then directly proportional to the time T it moves.
worty [1.4K]

We were told that the distance D is directly proportional to the time T.

We write this mathematically as,

D\propto T


We can now introduce our constant of variation and write the equation for the direct equation as;


D=kT


where k is the constant of variation or constant of proportionality.


We substitute D=20 and T=15, in to the equation of variation to obtain the constant of proportionality.


That is;


20=k\times15



This implies that,




\frac{20}{15}=k


This simplifies to give us,




k=\frac{4}{3}


Now our equation of proportion becomes,



D=\frac{4}{3}


When T=20



D=\frac{4}{3}\times20


D=\frac{80}{3}

Writing this as a mixed number we obtain,

D=26\frac{2}{3}

This can also be rewritten as

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Therefore the care covers 26.67 miles in 20 minutes.





6 0
3 years ago
How much string is out if a kite is 100 feet above the ground and the string makes an angle of 65° with the ground?
olasank [31]
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Answer:

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Step-by-step explanation:

The exponent is 3 because of the ^

8 0
3 years ago
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Marta_Voda [28]
CROSS MULIPLY THE 2 X THEN ADD THE 14
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3 years ago
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