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scZoUnD [109]
3 years ago
14

Find each side length,round to the nearest tenth if necessary 11.

Mathematics
1 answer:
vagabundo [1.1K]3 years ago
6 0

We can use a modified form of the Pythagorean Theorem to find the length of  x, also known as side b.

Pythagorean Theorem:

a^2 + b^2 = c^2

We can fill in the values of a^2 and c^2, and then solve for b.

14^2 + b^2 = 25^2

196 + b^2 = 625

Subtract 196 from both sides.

b^2 = 429

√ both sides.

b = 20.7

<h3>The value of x, or b, is equal to 20.7.</h3>
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If it rains ​tomorrow, the probability is 0.6 that John will practice his cello. If it does not rain ​tomorrow, there is only a
steposvetlana [31]

The final probability is the weighted average of the playing probabilities calculated over the possible weather options:

P(john practices cello; given that it rains) * P(it rains) +

P(john practices cello; given that it does not rain) * P(it does not rain) =

0.6 * 0.7 + 0.4 * 0.3 = 0.54

The probability is 54%

6 0
3 years ago
Choose the correct simplification of (4x − 3)(3x2 − 4x − 3).
Korolek [52]

the expression simplified is:

12x^3 - 25x^2 + 9

<h3>How to simplify the given expression?</h3>

Here we have the expression:

(4x - 3)*(3x^2 - 4x - 3)

We just need to distribute the product, we will get:

(4x - 3)*(3x^2 - 4x - 3)\\\\(4x)*(3x^2 - 4x - 3)  - 3*(3x^2 - 4x - 3)\\\\12x^3 - 16x^2 - 12x - 9x^2 + 12x + 9

Now we just need to group terms with the same exponent of x:

12x^3 - 16x^2 - 12x - 9x^2 + 12x + 9\\\\12x^3 + (-16 - 9)x^2 + (-12 + 12)x + 9\\\\12x^3 - 25x^2 + 9

That is the expression simplified

If you want to learn more about simplification:

brainly.com/question/723406

#SPJ1

8 0
1 year ago
4. Sherman hopes to get at least a 90 average on his science tests. He has one more test
Alinara [238K]

Answer:

79+94+91+92+test5)/5=90

The lowest score have to be 94

Step-by-step explanation:

Our goal is gona be to have an average of 90, it can be higher but we are going to use this.

For average the equation is

(test1+test2+test3+test4+test5)/5=average

We know the result for the first 4 tests

Test 1=79

Test 2=94

Test 3=91

Test 4=92

But we dont know test 5

(79+94+91+92+test5)/5=average

Our goal for the average is 90

(79+94+91+92+test5)/5=90

79+94+91+92+test5=90*5

test5=450-79-94-91-92

Test5=94

8 0
2 years ago
You spend $24 on school supplies. You purchase pencils for $1 each and pens for $2 each. You purchase a total of 20 pens and pen
Phantasy [73]
You purchased 4 pens and 16 pencils.
7 0
3 years ago
A rectangular football field is 646464 meters wide and 100100100 meters long. A player runs from one corner of the field in a di
kirill [66]

Answer:

118.7 yards

Step-by-step explanation:

You didn't ask a question

Did you want the length of the diagonal line?

-----------------------------------

d² = 64² + 100²

d² = 4,096 + 10,000

d² = 14,096

Take the square root of both sides

d = 118.7265766372

Rounded

118.7 yards

3 0
3 years ago
Read 2 more answers
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