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Georgia [21]
2 years ago
9

Two numbers have a difference of 28. If the sum of the squares of the numbers is

Mathematics
1 answer:
Lynna [10]2 years ago
7 0

Answer:

The two numbers are 182 and 210. I hope this will help you.

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×WILL MARK AS BRAINLIEST×<br>Solve the equation for b, d and x
Lera25 [3.4K]
Solve for d:
(3 (a + x))/b = 2 d - 3 c
(3 (a + x))/b = 2 d - 3 c is equivalent to 2 d - 3 c = (3 (a + x))/b:
2 d - 3 c = (3 (a + x))/b
Add 3 c to both sides:
2 d = 3 c + (3 (a + x))/b
Divide both sides by 2:
Answer: d = (3 c)/2 + (3 (a + x))/(2 b)


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

Solve for x:
(3 (a + x))/b = 2 d - 3 c
Multiply both sides by b/3:
a + x = (2 b d)/3 - b c
Subtract a from both sides:
Answer:  x = (2 b d)/3 + (-a - b c)

____________________________


Solve for b:
(3 (a + x))/b = 2 d - 3 c
Take the reciprocal of both sides:
b/(3 (a + x)) = 1/(2 d - 3 c)
Multiply both sides by 3 (a + x):
Answer: b = (3 (a + x))/(2 d - 3 c)
5 0
3 years ago
part 3. Find the value of the trig function indicated, use Pythagorean theorem to find the third side if you need it.​
Nat2105 [25]

Answer:  \bold{9)\ \sin \theta=\dfrac{1}{3}\qquad 10)\ \sin \theta = \dfrac{4}{5}\qquad 11)\ \cos \theta = \dfrac{\sqrt{11}}{6}\qquad 12)\ \tan \theta = \dfrac{17\sqrt2}{26}}

<u>Step-by-step explanation:</u>

Pythagorean Theorem is: a² + b² = c²   , <em>where "c" is the hypotenuse</em>

<em />

9)\ \sin \theta=\dfrac{\text{side opposite of}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{4}{12}\quad \rightarrow \large\boxed{\dfrac{1}{3}}

Note: 4² + (8√2)² = hypotenuse²   →   hypotenuse = 12

10)\ \sin \theta=\dfrac{\text{side opposite of}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{16}{20}\quad \rightarrow \large\boxed{\dfrac{4}{5}}

Note: 12² + opposite² = 20²   →   opposite = 16

11)\ \cos \theta=\dfrac{\text{side adjacent to}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{\sqrt{11}}{6}\quad =\large\boxed{\dfrac{\sqrt{11}}{6}}

Note: adjacent² + 5² = 6²   →   adjacent = √11

12)\ \tan \theta=\dfrac{\text{side opposite of}\ \theta}{\text{side adjacent to}\ \theta}=\dfrac{17}{13\sqrt2}\quad =\large\boxed{\dfrac{17\sqrt2}{26}}

Note: adjacent² + 7² = (13√2)²   →   adjacent = 17

5 0
3 years ago
Elizabith uses 23.25 ounces of granola and 10.5 ounces of raisins for 15 servings of tril mix if each serving contains the same
d1i1m1o1n [39]
1.55 ounces of granola and 0.7 ounces of raisins in each serving
5 0
2 years ago
What is the product in simplest form state any restrictions on the variable x^2+9x+18/x+ times x^2-3x-10/x^2+2x-24?
Ostrovityanka [42]

Answer:

<u>X^4+26X^3-24X^2-100 / X^2</u>

<u>(its a fraction btw)</u>

Step-by-step explanation:

ITS THE EQUATION SIMPLIFIED :)

x2+9x+ 18 x x2−3x− 10 x2 +2x−24

= x5+26x4−24x3−10x  x3

↓↓↓↓looks like this kinda ↓↓↓↓

x^4+26x^3−24x^2−10

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

            x^2

6 0
2 years ago
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It costs $70 for 50 tickets. How much does each ticket cost?
liberstina [14]
1 dollar and 40 cents
5 0
3 years ago
Read 2 more answers
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