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3 years ago

What is the Compound Inequality that is true for the missing side length? 3cm, 4cm, Xcm

Mathematics

1 answer:

Brrunno [24]3 years ago

3 0

Answer:

$x< 3+4\: and\\\left | 3-4 \right |$

Step-by-step explanation:

1. Well, when it comes to triangles. Mainly Pythagorean Triple, right triangles whose sides are 3,4,5 or 5,11,12

2. Keeping in mind this a Pythagorean Triple, then x=5

3. Then we can write it as Compound Inequality by combining the Statements for an Inequality of Triangle:

We can write it as

$5$

Or we can do:

$4$

and:

$3$

4. Writing in terms of x:

$x$

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How long will it take for the balance of an account to double if the savings account earns 0.75% annual interest compounded mont

spin [16.1K]

Let the amount deposited (principal) be x, then the amount after the required time = 2x.
A = P(1 + r/n)^nt: where A is the future value = 2x, P is the principal = x, r is the rate = 0.75%, n is the number of accumulation in a year = 12, t is the number of years.

2x = x(1 + 0.0075/12)^12t
2 = (1 + 0.000625)^12t
log 2 = 12t log (1.000625)
log 2 / log (1.000625) = 12t
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4 0

3 years ago

Find the value of z.

AVprozaik [17]

Answer:

z = 110°

Step-by-step explanation:

Angles z and the one marked 70° form an linear pair, hence are supplementary.

z = 180° -70° = 110°

<h3>Angles where chords cross</h3>

The angle made by two chords is half the sum of the arcs intercepted by those chords. Here, that means ...

70° = 1/2(60° +x) ⇒ x = 140° -60° = 80°

The arc w completes the circle of 360°, so we have ...

w +x +79° +60° = 360° ⇒ w = 360° -219° = 141°

Finally, z is the average of w and 79°:

z = (w +79°)/2 = (141° +79°)/2 = 110° . . . as above

8 0

2 years ago

Can someone help me?!?

gladu [14]

Answer:d

Step-by-step explanation:he only gets charged 20 dollars every month and 2.50 per gigabyte so the 2.50 gets multiplyed by g

3 0

3 years ago

Evaluate exactly in radians: arctan(1/sqrt(3)). Show solution w/ explanation.

balandron [24]

Arc tan ( 1/√3 ) = arc tan ( √3/3 ) = 30°
180° = π ( in radians )
30° = 180°/6 = π/6

5 0

3 years ago

What is the measure of arc CD?

CaHeK987 [17]

Option C:

The measure of arc CD is 40°.

Solution:

Given data:

m∠X = 11° and m(arc AB) = 18°

To find the measure of arc CD:

We know that,

<em>Angle formed by two intersecting secants outside the circle is equal to half of the difference between the intercepted arcs.</em>

$$m \angle X =\frac{1}{2}({arc \ CD}-{arc} \ AB)$

$$ 11^\circ =\frac{1}{2}({arc} \ CD-{18^\circ})$

Multiply by 2 on both sides.

22° = arc CD - 18°

Add 18° from both sides.

40° = arc CD

Switch the sides.

arc CD = 40°

Hence the measure of arc CD is 40°.

Option B is the correct answer.

7 0

2 years ago