Please help me on this guys

Mathematics

1 answer:

jok3333 [9.3K]3 years ago

4 0

area = base * height/2

area = 10x/2 = 5x

area is greater than or equal to 8 square feet

$5x \ge 8$

$x \ge \dfrac{8}{5}$

$x \ge 1.6~ft$

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if j is the number of integers between 1 and 500 that are divisible by 9 and k is the number of integers between 1 and 500 that

Morgarella [4.7K]

Answer:

126

Step-by-step explanation:

The number of numbers divisible by 9 is ...

j = floor(500/9) = 55

The number of numbers divisible by 7 is ...

k = floor(500/7) = 71

Then the total (j+k) is ...

j +k = 55 +71 = 126

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4 years ago

Which of the following is an irrational number?<br> 5 / 4<br> √5 / 7<br> 1/ 8<br> 3 / 5

Xelga [282]

Answer: $\sqrt{5} /7$

Step-by-step explanation:

5/4 is not an irrational number because it is already in a fraction the same as 1/8 and 3/5.

The square root of 5 is not rational because it cannot be converted to a fraction or in other words is not a perfect square.

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4 years ago

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Prove: If a chord of a circle makes an angle of 30° with a diameter, prove that the distance from the center to the chord is one

Svet_ta [14]

Answer:

See explanation.

Step-by-step explanation:

Let BC be the diameter of the circle with center at point O, AB be the chord and ∠ABC=30°. OD is the distance from the center to the chord.

Consider triangle BDO. This triangle is special 30°-60°-90° right triangle. The leg OD is opposite to the angle of 30° and is half of the hypotenuse. The hypotenuse of the triangle BDO is BO. BO is the radius of the circle and is equal to half of the diameter AB. Thus,

$OD=\dfrac{1}{2}BO=\dfrac{1}{2}\cdot \dfrac{1}{2}AB=\dfrac{1}{4}AB.$