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2 years ago

Which conditions will result in the construction of a unique triangle?

Mathematics

1 answer:

Arlecino [84]2 years ago

3 0

Answer:

A unique triangle will be produced if you are given: all three sides (Side-Side-Side) two sides and the included angle (Side-Angle-Side) two angles and the included side (Angle-Side-Angle)

Step-by-step explanation:

oof sorry I barely realized that I was supposed to select a number....sorry, but hope this helps :)

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motikmotik

Answer:

9) x = 89°

10) x = 118°

11) x = 145°

12) x = 40°

Step-by-step explanation:

9) 180-91 = 89

10) x = 118° because it is alternate interior to 118

11) x-30 = 115, x = 145

12) 4x-15 = 145, 4x = 160, x = 40

5 0

2 years ago

Type the correct answer in the box. Round your answer to the hundredth.

sesenic [268]

Answer:

Approximately 22.97 years

Step-by-step explanation:

Use the equation for continuously compounded interest, which uses the exponential base "e":

$A=P e^{k*t}$

Where P is the principal (initial amount of the deposit - unknown in our case)

A is the accrued value (value accumulated after interest is compounded), in our case it is not a given value but we know that it triples the original deposit (principal) so we write it as: 3 P (three times the principal)

k is the interest rate : 5% which translates into 0.05

and t is the time in the savings account to triple its value (what we need to find)

The formula becomes:

$3P = P e^{0.05 * t}$

To solve for "t" we divide both sides of the equation by P (notice it cancels P everywhere), and then to solve for the exponent "t" we use the natural logarithm function:

$\frac{3P}{P} = \frac{P}{P} e^{0.05 * t}$

$3 = e^{0.05 * t}$

$ln(3) = 0.05 * t$

$t = \frac{ln(3)}{0.05} = 21.972245... years$

6 0

2 years ago

Each basket can hold 2.5 pounds of apples . how many pounds can 7 baskets hold?

schepotkina [342]

You must multiply 2.5 by 7 to get the answer which is 17.5 pounds

8 0

2 years ago

Read 2 more answers

Factor completely 20x^3y + 30x^2y^2.

weqwewe [10]

Answer:

10x^2 y(2x + 3y)

Step-by-step explanation:

20x^3 y + 30x^2 y^2.

Factor 10x^2y out of 20x^3y.

10x^2 y (2x) + 30x^2 y^2

Factor 10x^2y out of 30x^2y^2.

10x^2 y (2x) + 10x^2 y (3y)

Factor 10x^2y out of 10x^2 y (2x) + 10x^2 y (3y).

10x^2 y(2x + 3y)

you factor out 10x^2y from both side which you will then get 10x^2 y (2x) + 10x^2 y (3y) than you factor out 10x^2y again and get 10x^2 y(2x + 3y) your third option

6 0

2 years ago

F(x)=2x^2 -5 , simplify f(x+h)/h , where h≠0

7nadin3 [17]

Answer:

$\huge\boxed{\dfrac{f(x+h)}{h}=\dfrac{2x^2+4xh+2h^2-5}{h}}$

$\huge\boxed{\dfrac{f(x+h)}{h}=\dfrac{2x^2-5}{h}+4x+2h}$

Step-by-step explanation:

$f(x)=2x^2-5\\\\\dfrac{f(x+h)}{h}=\dfrac{2(x+h)^2-5}{h}=\dfrac{2(x^2+2xh+h^2)-5}{h}\\\\\dfrac{f(x+h)}{h}=\dfrac{2x^2+4xh+2h^2-5}{h}\\\\h\neq0$

4 0

1 year ago