All categories

4 years ago

Round to the nearest tenth.

Mathematics

1 answer:

sammy [17]4 years ago

4 0

Answer:

$c=9.3\ units$

Step-by-step explanation:

step 1

Find the measure of angle A

we know that

The sum of the interior angles in any triangle must be equal to 180 degrees

$A+B+C=180^o$

substitute the given values

$A+110^o+30^o=180^o\\A=40^o$

step 2

Find the length side c

Applying the law of sines

$\frac{a}{sin(A)}=\frac{c}{sin(C)}$

substitute the given values

$\frac{12}{sin(40^o)}=\frac{c}{sin(30^o)}$

solve for c

$c=\frac{12}{sin(40^o)}sin(30^o)$

$c=9.3\ units$

You might be interested in

Lines L and M are parallel.

Mars2501 [29]

Answer:

52°

Step-by-step explanation:

The angle 38° and m∠1 equal 90°, so 90-38=52.

3 0

3 years ago

Read 2 more answers

First change to standard form of first order linear differential equation and then by finding the appropriate integrating factor

Leokris [45]

Answer:

Step-by-step explanation:

Given is a Differential equation as

$xy' + y = lnx ; y(e)=1$

To bring it to linear form we can divide the full equation by x

$y'+\frac{y}{x} =\frac{ln x}{x}$

This is of the form

y'+p(x) *y = q(x)

p(x) = 1/x

So find

$e^{\int\limits{\frac{1}{x} } \, dx } = e^{ln x} = x$

Solution is

$xy = \int {x*lnx /x } \, dx =xln x -x +C$

Use the initial value as y(e) =1

$e= eln e -e+C\\C=e$

So solution is

$xy =xln x -x+e$

5 0

3 years ago

Blueberry high-fiber muffins contain 51 % dietary fiber by mass. If a package with a net weight of 18 oz contains six muffins, h

8_murik_8 [283]

Answer:

In each muffin there are 1.53oz

Step-by-step explanation:

The first step is to get the weight of just one muffin. If the package contains six muffins we must divide the total weight by six.

$weight_{unit}=\frac{18oz}{6}=3oz$

The weight of just one muffin is 3oz.

Now, the problem says that blueberry high-fiber muffins contain 51 % dietary fiber by mass, which means that we must calculate the 51% of 3oz. We must take into account that 51% equals 51/100 which is 0.51. The equation would be:

$fiber=(3oz)(0.51)=1.53oz$

Finally, in each muffin there are 1.53oz of fiber.

6 0

4 years ago

Factor the expression 44-11

taurus [48]

The answer is 11(4+1)

5 0

3 years ago

Zahra compares two wireless data plans Which equation gives the correct value of n

Tpy6a [65]

Answer:

8n=20+6(n-2)

Step-by-step explanation:

n is the number of GB

Plan A has no initial fee and charges 8$ per each GB

So A has an equation that is y=0+8n or just y=8n.

Plan B has 20 for the first 2 GB and $6 for each addition GB after the first 2.

So B has an equation that is y=0+20+6(n-2) assuming n is 2 are greater.

So the two equations are y=8n and y=20+6(n-2).

We want Plan A to be the same as Plan B.

So we need to solve:

8n=20+6(n-2).

Let's check our equation:

Distribute:

8n=20+6n-12

Subtract 6n on both sides:

2n=20-12

2n=8

Divide both sides by 2:

n=4

Plan A charges 8 dollars ber GB, so plan A charges 4(8)=32 dollars.

Plan B charges 20 dollars for the first 2GB and 6 dollars for each GB after so we used 4 which means we are spending 20+6(2)=20+12=32 dollars.

They are the amount so n=4 is right.

6 0

3 years ago