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3 years ago

I have two problems that I need help with. I'll attach them below.

Mathematics

1 answer:

otez555 [7]3 years ago

3 0

1. Is $235,000+ 4.2% =244,870
4.2% out of $235,000 is $9,840
Where i got $244,870
12x20=240
So 20 years= 240 months
So I divide $244,870 by 240 months
is $1,020.291667
Which is $1,020.29 cents.
If you multiply that $1,020.29x240=$244,869.60 round to nearest dollar 60 cents is over 50 which would make it $2444,870.

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5. Find the mZABC if<br> ZABD = 35°, ZDBC = 55º.

Reika [66]

Answer:

$m\angle ABC=90^o$

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

$m\angle ABC=m\angle ABD+m\angle DBC$ ----> by angle addition postulate

substitute the given values

$m\angle ABC=35^o+55^o=90^o$

5 0

3 years ago

Inez waters her plants every two days. She trims them every 15 days. She did both today. When will she do them both again?

shtirl [24]

The answer is 30 days.

The solution for this is to find the least common multiple. By getting the multiple of both numbers.

Multiples of 2: 2,4,6,8,10,12,14,16,18,20,22,24,26,28,30,32,34,36,38,40…..

Multiples of 15: 15,30,45,60,75……..

The Least Common Multiples of 2 and 15 is 30. So, Inez will do them both again in 30 days.

The least common multiple (LCM) of two numbers is the smallest number that is multiple by the both number.

7 0

3 years ago

You're standing on the ground 7777 meters away from the bottom of a tall tower. The tower itself is 346346 meters tall. What is

lys-0071 [83]

Answer:

88.7°

Step-by-step explanation:

First, visualize. Assuming that the tower is at a perfectly 90° angle to the ground, you have a right triangle. We will call this triangle ΔABC where A is where you are, B is the top of the tower, and C is the base of the tower. Now we know the following:

∠A = ?

∠B = ?

∠C = 90

a = 346346

b = 7777

c = ?

Note: Triangles are labeled with three pairs of letters: a, b and c and A, B and C. The lower case letters, a, b and c represent the sides, and the upper case letters are the angles that are directly opposite of those sides. (see attached reference)

c is easy, c is the hypotenuse, so you can use the following equation to find the hypotenuse:

a² + b² = c²

Rearranged:

c = ± $\sqrt{a^{2} +b^{2} }$

Substitute a and b:

c = ± $\sqrt{346346^{2} +7777^{2} }$

Comes out to ~346433.3 meters.

Now if we use the Law of Sines:

$\frac{a}{sinA}$ = $\frac{b}{sinB}$ = $\frac{c}{sinC}$

We can use c and a, since we're trying to find what angle A is, so the ratio is set up as:

$\frac{346346}{sinA}$ = $\frac{346433.3}{sinC}$

Well we know that C = 90, and so sin(90) in degrees (as opposed to radians) is 1. So then the set of equations is now:

$\frac{346346}{sinA}$ = $\frac{346433.3}{1}$

Cross Multiply to get rid of the fractions:

346346 = 346433.3 * sin(A)

Divide:

$\frac{346346}{346433.3}$ = sin(A)

Using a calculator, if you take the arcsin of that fraction, you will get what angle A is supposed to be:

arcsin( $\frac{346346}{346433.3}$ ) = ∠A = 88.7°

5 0

3 years ago

what are two practical products you could add to find 990 x 37 ; 297 693 2970 6930 69300 6330 29700

VMariaS [17]

First evaluate 990 x 37.
990 x 37 = 36630

Test the given numbers to find the pair that adds up to 36630.
Test 297.
The missing pair will be
36630 - 297 = 36333
Will not work

Test 693.
36630 - 693 = 35937
Will not work

Test 2970.
36630 - 2970 = 33660
Will not work

Test 6930
36630 - 6930 = 29700
This works, because 6930 + 29700 = 36630.

Answer: 6930 and 29700.

8 0

3 years ago

If x is 1 what is the value of y?9x - 5y = 29

mylen [45]

Given

The equation,

9x - 5y = 29.

To find the value of y when x is 1.

Explanation:

It is given that,

$9x-5y=29$

That implies,

When x=1,

$\begin{gathered} 9(1)-5y=29 \\ 9-5y=29 \\ -5y=29-9 \\ -5y=20 \\ y=\frac{20}{-5} \\ y=-4 \end{gathered}$

Hence, the value of y is -4.

4 0

1 year ago