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3 years ago

15

Translate this phrase into an inequality. The sum of two consecutive even integers is at most seven more than half the sum of th

e next two consecutive even integers.

1 answer:

e-lub [12.9K]3 years ago

7 0

n+n+2 less than or equal to 1/2(n+4+n+6)+7

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a rectangular field is 0.45 kilometers long and 0.3 kilometers wide what is the area of the field in square meters?

bekas [8.4K]

Answer:135000

Step-by-step explanation:

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3 years ago

An exterior angle of a triangle is 140 degrees. If the non-adjacent angles are congruent, then what are the measures of all of t

trasher [3.6K]

The measures of all of the interior angles of the triangle are 70 degrees, 70 degrees and 40 degrees

<em><u>Solution:</u></em>

Given that exterior angle of triangle is 140 degrees

The exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles

Given that adjacent angles are congruent

Let one of the non adjacent interior angles be "x"

x + x = 140

2x = 140

x = 70

So the two interior angles are 70 degrees and 70 degrees

Let us find the third interior angle

The angle sum property of a triangle states that the interior angles of a triangle always add up to 180 degrees

70 + 70 + third angle = 180

third angle = 180 - 70 - 70

third angle = 180 - 140

third angle = 40 degrees

Thus the measures of all of the interior angles of the triangle are 70 degrees, 70 degrees and 40 degrees

3 0

3 years ago

A rock is thrown vertically upward from the surface of an airless planet. It reaches a height of s = 120t - 4t2 meters in t seco

12345 [234]

Answer:

Step-by-step explanation:

Given that a rock is thrown vertically upward from the surface of an airless planet. It reaches a height of $s(t) = 120t - 4t^2$

where t is expressed in seconds

The rock goes upto a height where the velocity becomes 0 and then it starts falling down by gravity

Velocity at time t = s'(t) = $120-8t$

This becomes 0 when t =15 seconds

Hence at 15th second the rock starts falling and upto

s(15) = $120(15)-4(15^2)\\= 900$ metres high it goes

The time taken to reach highest point is = 15 seconds.

6 0

3 years ago

The largest orange in a bag has the circumference of 9 5/8 inches. The smallest orange has a circumference

Marysya12 [62]

Answer:

1.81 inches

Step-by-step explanation:

Given that,

The circumference of the largest orange in a bag is $9\dfrac{5}{8}\ \text{inches}$ and that of smallest orange is $7\dfrac{13}{16}\ \text{inches}$ .

Difference = largest orange - smallest orange

= $9\dfrac{5}{8}-7\dfrac{13}{16}\\\\=\dfrac{77}{8}-\dfrac{125}{16}\\\\=\dfrac{29}{16}\\\\=1.81\ \text{inches}$

So, difference of the circumferences of the smallest orange and the largest orange is 1.81 inches

4 0

2 years ago

Type a counter-example for the following conclusion. 5 > 0, 6 > 0, 12 > 0, 16 > 0, 20 > 0, 100 > 0. Conclusion

Yanka [14]

-5 < 0
-6 < 0
-12 < 0
If you want to get really theoretical, think about imaginary numbers! Like 5i

3 0

3 years ago