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Romashka [77]
2 years ago
10

Pythagorean Theorem pls help :P

Mathematics
1 answer:
murzikaleks [220]2 years ago
4 0

Answer:

x = \sqrt{84}

Step-by-step explanation:

According to Pythagorean Theorem, the square value of hypotenuse is equal to sum of square value of two legs:

x^2 + 4^2 = 10^2

x^2 + 16 = 100 subtract 16 from both side

x^2 = 84 find the root of both sides

x = \sqrt{84}

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AysviL [449]
                        2    y
6x+y=4       x= _ - _
                        3   6 

x-4y=19      x=19+4y

4 0
3 years ago
The area of a rectangle is 256.5 m.cuadrados If the length is 18m what is the perimeter of the rectangle
Alex_Xolod [135]
The perimeter for the rectangle is 64.5m.
3 0
2 years ago
Plz solve marked brainlist
Natalka [10]

Answer:

No solution

Step-by-step explanation:

There is one variable. so it can't be two solutions. To the rest, we need to solve the equation.

5-2x=3+x-4-3x

5=3-4

5=-1

Impossible!!!

so no solution.

Hope this helps plz mark brainliest :D

4 0
2 years ago
Can someone help me out?
stira [4]

Answer:

  40 degrees

Step-by-step explanation:

A triangle solver tool can find the angle easily. It is 39.8°, which rounds to 40°. Apps are available on some calculators, on the Internet, and for iOS and Android phones and tablets.

___

You may be expected to solve this using the Law of Cosines. If we name the sides ...

  • a = 1.75
  • b = 3.00
  • c = 2.00

the law of cosines tells us the relationship is ...

  c² = a² + b² -2ab·cos(θ)

Then the angle is ...

  θ = arccos((a² +b² -c²)/(2ab)) = arccos((3.0625 +9 -4)/(2·1.75·3))

  = arccos(8.0625/10.5) ≈ 39.838° ≈ 40°

4 0
2 years ago
The Johnson twins were born five years after their older sister. This​ year, the product of the three​ siblings' ages is exactly
Mamont248 [21]

Answer:

13 years.

Step-by-step explanation:

Suppose, today, the Johnson twins' age is x years. Then the age of their elder sister will be (x + 5) years old. It is given that product of the three​ siblings' ages is exactly 2998 more than the sum of their ages. Therefore:

x + x + x + 5 + 2998 = (x)(x)(x + 5).

3x + 3003 = x^3 + 5x^2.

x^3 + 5x^2 - 3x - 3003 = 0.

To solve the question, factor theorem will be used. It states if any number c satisfies the equation f(c) = 0, then c is the factor of f(x). By observation, it can be seen that x = 13 can be a possible candidate for the factor of f(x). To verify, check f(13).

f(13) = 13^3 + 5(13^2) - 3(13) - 3003 = 2197 + 845 - 39 - 3003 = 0.

Since f(13) = 0, therefore x = 13 is the factor of f(x).

Now applying synthetic division:

Column 1       2       3       4            5

     13    |         1       5      -3        -3003  (Row 1)

______|______<u>  _13__234___3003</u>   (Row 2)

            |         1       18      231          0    (Row 3)

The method requires to write the coefficients of all the powers in the Row 1 on the right hand side of the table. Put the factor x = 13 on the left hand side of the table (Row 1 Column 1). The first step involves the second column elements to be added. Since there is only 1, thus there will be 1 below the line. Next step involves multiplying 1 with the factor (which is 13) and this will be the element for row 2 column 3. The add the elements of the column 3. The answer comes out to be -3. Repeat the above steps for the columns 4 and 5. The sum of the column 5 (the last column) should be 0, which is the case. The elements of the last row are actually the coefficients of the quadratic equation which is resultant from dividing f(x) by (x - 13). Thus:

x^2 + 18x + 231 = 0.

Using completing the square:

x^2 + 18 = -231.

(x)^2 + 2*(x)*(9) + (9)^2 = -231 + (9)^2.

(x + 9)^2 = -231 + 81.

(x + 9)^2 = -150.

Taking square root on both sides shows that rest of the 2 answers of this polynomial will be complex roots since square root of -150 does not exist in real numbers. Therefore, since the age is a real quantity and not a complex quantity, the age of the twins is 13 years!!!

8 0
3 years ago
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