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3 years ago

Sum or difference in simplest form 5/12 -1/4 =

Mathematics

2 answers:

Darina [25.2K]3 years ago

6 0

The right answer is 2/9

Svet_ta [14]3 years ago

4 0

1/6 is the right answer

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A local garden contains 1/12 lettuce, 3/12 carrots, 4/12 of corn and the rest red radishes. How much of the garden is radishes?

melamori03 [73]

Answer:

The answer to your question is a) 4/12 b) 5/12

Step-by-step explanation:

Data

Lettuce = 1/12

Carrots = 3/12

Corn = 4/12

Red radishes = ?

The total of the garden is 12/12

Red radishes = 12/12 - 1/12 - 3/12 - 4/12

= 12/12 - 8/12

= 4/12

4/12 of the garden are red radishes.

Corn of lettuce = 1/12 + 4/12

= 5/12

5/12 of the garden are corn or lettuce.

3 0

3 years ago

How many solutions are possible for a triangle with A = 113° , a = 15, and b = 8

statuscvo [17]

Answer:

One solution.

Step-by-step explanation:

To determine the number of possible solutions for a triangle with A = 113° , a = 15, and b = 8, we're going to use the law of sines which states that: "<em>When we divide side a by the sine of angle A it is equal to side b divided by the sine of angle B, and also equal to side c divided by the sine of angle C</em>".

Using the law of sines we have:

$\frac{sin(A)}{a} = \frac{sin(B)}{b}$

$\frac{sin(113)}{15} = \frac{sin(B)}{8}$

Solving for B, we have:

$sin(B)=0.4909$

∠B = 29.4°

Therefore, the measure of the third angle is: ∠C = 37.6°

There is another angle whose sine is 0.4909 which is 180° - 29.4° = 150.6 degrees. Given that the sum of all three angles of any triangle must be equal to 180 deg, we can't have a triangle with angle B=113° and C=150.6°, because B+C>180.

Therefore, there is one triangle that satisfies the conditions.

7 0

3 years ago

How do you determine where f(x)=cos^(-1)(lnx) is continuous?

olga nikolaevna [1]

$\ln x$ is continuous over its domain, all real $x>0$ .

Meanwhile, $\cos^{-1}y$ is defined for real $-1\le y\le1$ .

If $y=\ln x$ , then we have $-1\le \ln x\le1\implies \dfrac1e\le x\le e$ as the domain of $\cos^{-1}(\ln x)$ .

We know that if $f$ and $g$ are continuous functions, then so is the composite function $f\circ g$ .

Both $\cos^{-1}y$ and $\ln x$ are continuous on their domains (excluding the endpoints in the case of $\cos^{-1}y$ ), which means $\cos^{-1}(\ln x)$ is continuous over $\dfrac1e$ .

7 0

3 years ago

Please help ASAP, giving lots of points.

BARSIC [14]

The answers is the last one

6 0

3 years ago

How do you simplify 8+(9t+4)

IrinaVladis [17]

8+(9t+4)
remove ( )
since there's a + in front of the ( ) the value will not change

8+9t+4
combine like terms

9t+12
Hope this helps

3 0

3 years ago