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Inessa [10]
3 years ago
15

Which number produces a rational number when added to 0.25

Mathematics
1 answer:
Sonja [21]3 years ago
3 0

Answer:

the number that produces a rational number when added to 0.25 is 2/9



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String a is 35 centimeters long. String b is 5 times long as string a. Both are necessary to create a decorative bottle. Find th
vladimir2022 [97]
String a is 35 cm.....string b is 5 times as long as string a.....
so string b is 5(35) = 175 cm....both are needed....
175 + 35 = 210 cm for 1 bottle

for 17 bottles...
17 * 210 = 3570 cm <== 3570 cm are needed for 17 bottles

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Option D. x ≥ -4

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Which set of ordered pairs represents a function?
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5 0
3 years ago
Find the value of x and y to the nearest tenth
Readme [11.4K]
The value of 'x' is 24.2 and the value of 'y' is 46.5.

To solve this, we do the following steps.
<u>Step 1:</u> Divide 'y' into 2 parts, 'a' and 'b'. 'a' would be the lower leg of the 45°-45°-90° triangle, while 'b' is the lower leg of the 30°-60°-90° triangle.<em>
</em><u>Step 2:</u> Given the hypotenuse (34) of the 30°-60°-90° triangle, solve for 'b' using the cosine of 30°.
    cos30° = b/34 [adjacent over hypotenuse]
    b = 34cos30° [cross-multiply]
    b = 29.4
<u>Step 3:</u> Solve for the 90° leg (the side opposite the 30° angle) using the Pythagorean Theorem. We will name this leg "h" (cuz height).
     l² + l² = hyp²
     29.4² + h² = 34²
     h² = 1156 - 864.36
     √h² = √291.64
     h = 17.1
<u>Step 4:</u> Solve for 'x' by using the 45°-45°-90° triangle ratio (1:1:√2). √2 would be the hypotenuse of the 45°-45°-90° triangle, while 1 would be both congruent legs.     
  Side 'h' is one of the legs; side 'a' is the other. Since these legs are congruent, 'a' also measures 17.1. Now all we need to do is solve for 'x', which is our hypotenuse. To do this, we simply multiply the measure of side 'h' or 'a' by √2.
     x = 17.1 × √2
     x = 24.2
<u>Step 5:</u> Now that we got the value of 'x', solve for 'y' by adding the measures of sides 'a' and 'b' together.<em>
</em><u />     y = a + b
     y = 17.1 + 29.4
     y = 46.5

And there you have it! <em>Hope this helps.</em>
     <em>
</em>
5 0
3 years ago
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