All categories

3 years ago

What is the measure of Angle A in the triangle shown? ___ degrees

Mathematics

1 answer:

Triss [41]3 years ago

4 0

Answer:

Step-by-step explanation:

You might be interested in

What is the greatest prime you must consider to test if 5628 is prime

Brut [27]

I believe the answer to this would be 268

8 0

3 years ago

An investor obtains a balloon mortgage with the terms shown below.

Flauer [41]

9514 1404 393

Answer:

a. $3,455.20

Step-by-step explanation:

The monthly payment is given by the amortization formula:

A = P(r/12)/(1 -(1 +r/12)^(-12t))

for loan amount P at annual rate r for t years.

For this mortgage, we use P = $530,000, r = 0.068, t = 30.

A = $530,000(0.068/12)/(1 -(1 +0.068/12)^(-360)) ≈ $3,455.20

The monthly payment is $3,455.20.

_____

<em>Additional comment</em>

In 7 years, the balloon payment will be $481,559.91.

6 0

2 years ago

The perimeter of a rectangle is 42 inches, and its area is 110 square inches. find the length and width of the rectangle.

lorasvet [3.4K]

$p = 2w + 2l$ $p = 42$
$a = l * w$ $a = 108$

You want to make either the length or width variable (I chose the width variable to be by itself. It doesn't matter) by itself by:

Divide both sides by 2.
(p) ÷ 2 = (2w + 2l) ÷ 2
$2's$ $cancel$ $out$
$\frac{p}{2} = w + l$

Subtract both sides by either length or width depending on what variable you chose to make by itself (in this case I subtracted the length variable because I wanted the width variable by itself).
$\frac{p}{2} - l = w + l - l$
$l's$ $cancel$ $out$
p/2 - l = w

$a = l * w$

You replace w with the equation above p/2 - l = w
$a = l( \frac{p}{2} - l)$

Multiply out the L.
$a = \frac{p}{2}l - l^{2}$

Plug in all your numbers a = 110 and p = 42
$110 = \frac{42}{2}l - l^{2}$
$110 = 21l - l^{2$

Move everything to the left side so $l^{2}$ would be positive (makes the equation easier when $l^{2}$ is positive).
$l^{2} - 21l + 110 = 0$

Factor.
$(l -10)(l-11) = 0$

Make each parenthesis set equal to 0.
$l-11=0$ $l-10=0$

Add.
$l = 11$ $l = 10$

By doing this you solve for both the width and length so the answer is:
w = 11 L = 10

8 0

3 years ago

The point (12, 5) is on the terminal side of angle θ.

Sonja [21]

Tanα=5/12

α=arctan(5/12)°

α≈22.62° (to nearest hundredth of a degree)

5 0

3 years ago

Ow to do this please help I’m 10in six grade I skip don’t no why but please help

ohaa [14]

To do this, you can just multiply across. 3 times 1 equals 3 so your numerator is 3. 2 times 4 equals 8. Then, your answer would be 3/8. Hope this helps :)

4 0

3 years ago

Read 2 more answers