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sweet [91]
3 years ago
14

Find the length of the segment indicated. Round your answer to the nearest tenth if necessary.

Mathematics
1 answer:
guajiro [1.7K]3 years ago
7 0

Answer:

<em>Length of x ⇒ ( About ) 11.5; Option C</em>

Step-by-step explanation:

<em>~ Let us plan this question step-by-step. We know that the line segment with length 13.1 is a radii to the circle, as well as a hypotenuse to a right triangle. Respectively the hypotenuse of another triangle is a hypotenuse as well. By radii ≅, these two part of these two triangles are ≅ ~</em>

1. If these two parts are ≅, the triangle with leg x has a hypotenuse of 13.1 as well ( through ≅ ). This would mean that Pythagorean theorem is applicable for this triangle, as to solve for line segment x.

2. By Pythagorean Theorem ⇒

6.2^2 + x^2 = 13.1^2,

38.44 + x^2 = 171.61,

x^2 = 133.17

<em>Length of x ⇒ ( About ) 11.5</em>

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Answer: -√1/✓41

Step-by-step explanation:

Let y be the irrational number that will be multiplied by -√41 to get the product that equals 1.

y × (-√41) = 1

We then solve for y, by dividing through with -√41. This will be:

[y × (-√41)]/-√41 = 1/-√41

y = -1/√41

y = -√1/✓41

The irrational number is negative root one over root forty one.

8 0
3 years ago
Eric's average income for the four months of the year 1450 point to $5 what must be his average income for the remaining eight m
Zielflug [23.3K]

Answer:

$2668.63

Step-by-step explanation:

If the average of 4 months is $5

Meaning the total sum for 4 months

4×5 =$20

If the average for the year was $1780.75​

It means the total sum for a year is;

$1780.75​×12 =$21369

This means the money received for the remaining 8 months is;

$21369-$20=$21349

Hence the average income for the remaining 8months is ;

The total amount for 8 months / 8;

$21349/8= $2668.625

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3 years ago
Dots sells t-shirts ($2) and shorts ($4). In April total sales were $456. People bought 4 times as many t-shirts as shorts. How
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Answer:

Dots sold 152 t-shirts and 38 shorts sold.

Step-by-step explanation:

Let t = t-shirts and s = shorts.

We know that people bought 4 times as many t-shorts as shorts, which can be set to the equation t = 4s

Since t-shirts cost $2, shorts cost $4, and the total sales was $456, we can set the equation 2t +4s = 456

So our two equations are:

t = 4s

2t + 4s = 456

Substitute t from the 1st equation into the 2nd:

2(4s) + 4s = 456

8s + 4s = 456

12s = 456

s = 38

There were 38 shorts sold.

Since we have the number of shorts, we can plug that back into the 1st equation to find the number of t-shirts sold:

t = 4s

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There were 152 t-shirts sold.

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4 years ago
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Answer:

3.9 - C

Step-by-step explanation:

This forms a triangle with a base of 2.5 and a height of 3.

Using the Pythagorean Theorem, 2.5^2 + 3^2 = c^2

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