All categories

4 years ago

Evaluate 9/m+4 when m=3

Mathematics

1 answer:

Naya [18.7K]4 years ago

7 0

Answer:

1 2/7

Step-by-step explanation:

You might be interested in

What number is 10% of 80

zhuklara [117]

The answer is 8

Hope that helped ^^

5 0

3 years ago

Read 2 more answers

Angle FEDwith angleF=90degree, ED=36, and FE=22, calcularé the measures of the unknown angles and the unknown side length of the

Flauer [41]

Answer:

$\angle D=37.7^{\circ}$

$\angle E=52.3^{\circ}$

$FD\approx 28.5$

Step-by-step explanation:

Please find the attachment.

We have been given that angle FED with angle F=90 degree, ED=36, and FE=22. We are asked to find the unknown angles and the unknown side length of the triangle.

We will use sine to solve for angle D as:

$\text{sin}=\frac{\text{Opposite}}{\text{Hypotenuse}}$

$\text{sin}(D)=\frac{22}{36}$

$D=\text{sin}^{-1}(\frac{22}{36})$

$D=37.66988696^{\circ}$

$D\approx 37.7^{\circ}$

Therefore, measure of angle D is 37.7 degrees.

Now, we will find measure of angle E using angle sum property.

$m\angle E+m\angle F+m\angle D=180^{\circ}$

$m\angle E+90^{\circ}+37.7^{\circ}=180^{\circ}$

$m\angle E+127.7^{\circ}=180^{\circ}$

$m\angle E+127.7^{\circ}-127.7^{\circ}=180^{\circ}-127.7^{\circ}$

$m\angle E=52.3^{\circ}$

Therefore, measure of angle E is 52.3 degrees.

We will use Pythagoras theorem to solve for side FD as:

$FD^2+EF^2=ED^2$

$FD^2+22^2=36^2$

$FD^2+484=1296$

$FD^2=1296-484$

$FD^2=812$

$FD=\sqrt{812}$

$FD=28.495613697\\\\FD\approx 28.5$

Therefore, length of side FD is approximately 28.5 units.

6 0

3 years ago

How much must be deposited into an account that pays 12.2% annual interest compounded quarterly to receive $13,422 after 5 years

frutty [35]

Answer:

$7,359.65

Step-by-step explanation:

The computation of the amount that to be deposited is shown below:

Here we have to calculate the present value

As we know that

Present value = future value ÷(1+ rate of interest)^years

where,

rate of interest = 12.2% ÷ 4 = 3.05%

And, the years is = 5 × 4 = 20

Now the present value is

= $13,422 ÷ (1+ 3.05%)^20

= $7,359.65

7 0

3 years ago

Find the slope of a line parallel to each given line y = 4/5x + 1

natta225 [31]

Answer:

the slope of the line is 4/5

Step-by-step explanation:

an equation parallel to that is y= 4/5 - 3

Slopes are the same = parallel

3 0

3 years ago

Read 2 more answers

Sara pays $11 for 2.75 pounds of cheese.what is the cost per pound

deff fn [24]

0.25 cents per pound

8 0

3 years ago

Read 2 more answers