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EastWind [94]
3 years ago
14

What is the greatest integer x for which 7/9 > x/13? (7/9 and x/13 are both fractions)

Mathematics
1 answer:
larisa86 [58]3 years ago
3 0
We can solve
<span>7/9 > x/13
for x.

multiply both sides by 13:
</span>
7/9 > x/13
7/9*13 > x/13 * 3
<span>7/9*13 > x
91/9 > x

reverse it to get
x < 91/9

this says that x has to be less than 91/9 for the inequality </span><span>7/9 > x/13 to be true.

91/9 in decimal form is 10.1 repeating.

the greatest integer x is therefore 10

answer is 10

can verify:

7/9 > x/13

7/9 is approximately 0.777777 so

0.7777 > x / 13

for x = 10, we have 10/13 = 0.7692. and 0.7777 is bigger than that
try next integer. at x = 11, we have 11/13 = 0.8462. this is bigger than 0.7777

so the answer is 10. that's the greatest integer
</span>
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The incline would be 12.65 <span>ft. I used the Pythagorean theorem to solve this, you can easily find a calculator for that online.</span>
5 0
3 years ago
The radius is cm.
Elza [17]

Answer:

The radius is 1.75 cm, 1 3/4 cm, or 7/4 cm (all the same, just in different forms)

The circumference in terms of π is 7/2(π) cm, 3.5(π), or 3 1/2(π) cm (all the same, just in different forms)

The approximate circumference of the circle is 10.99 or 11 cm. (don't know if it's supposed to be rounded)

Step-by-step explanation:

Radius = 1/2 of the diameter, so 1/2 of 7/2 is 1.75, 1 3/4, or 7/4 cm.

Circumference in terms of pi means to not approximate pi. Circumference of circle is πd, so the exact circumference would be 7/2 pi cm, 3.5 pi cm, or 3 1/2 pi cm.

3.5 x 3.14 = 10.99. 10.99 cm ≈ 11 cm.

3 0
2 years ago
ABC is a three digit number where each number represents a different digit. If A &lt; C what is the greatest possible number?
velikii [3]

Answer:

879

Step-by-step explanation:

7 0
3 years ago
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I will mark brainliest !
harina [27]

Answer:

90 degrees

Step-by-step explanation:

A circle circumscribed over a right triangle is the same as a circle circumscribed over a rectangle built from the extension of the right triangle.

That tells us that the hypotenuse is the diameter of the circle in that case.

Here, we can see a triangle that has the hypotenuse as the diameter of the circumscribed circle. We can infer that the triangle is a right triangle.

4 0
4 years ago
△ABC has interior angles with measures x°, 100°, and 70°, and △DEF has interior angles with measures y°, 70°, and 20°. Using the
Umnica [9.8K]

△ABC has interior angles with measures x°, 100°, and 70°.

By using angle sum property, which states that the sum of measures of all three angles is 180 degrees.

x^{\circ}+100^{\circ}+70^{\circ}=180^{\circ}

x^{\circ}=10^{\circ}

Now, △DEF has interior angles with measures y°, 70°, and 20°.

By using angle sum property,

y^{\circ}+70^{\circ}+20^{\circ}=180^{\circ}

y^{\circ}=90^{\circ}

Now, we can say that,

"The two triangles are not similar because x≠y"

As one angle of measure 70 degree is common in both the triangles.

If 'x' would be equal to 'y' , then we could say that the triangles are similar by AA criteria.

Therefore, the two triangles are not similar because x is not equal to y.

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3 years ago
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