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3 years ago

HELP ME

Mathematics

2 answers:

Yuliya22 [10]3 years ago

5 0

Answer:

if it has been reduced 5% we can use the equation 0.05 which is 1/20 so we add to 100% to make 105% = 1.05 x 300= 315 ( As 1.05 x 300 /2 = 15.75)

Step-by-step explanation:

We can see it has been reduced by 15.75

AlladinOne [14]3 years ago

3 0

Answer:

$300

Step-by-step explanation: Since the sales price is the original price so it is I sale for $300

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A UCF graduate has 3 bank overdrafts per year, and the bank charges $35 per overdraft. The bank pays the graduate 1% interest pe

Elena L [17]

Answer:

$33

Step-by-step explanation:

First we calculate the cost of the overdrafts:

3 overdrafts * $35 = $105

Then, if he maintains an average monthly balance of $600, we can calculate = $600*12 months = $7200 (average yearly balance). And the bank pays him 1% interest per annum:

$7200 * 1% = $72 (this is what the bank pays the graduate per year)

So if the bank charges him $105 and pays him $72, then the net annual cost is = $105-$72= $33

4 0

4 years ago

what is the volume of an area? what is a polynomial?

Anon25 [30]

First off, there can't be a volume of an area.
A polynomial is basically a equation that has 2 or more terms that have to be algebraic.

3 0

4 years ago

OBSERVATION A person standing 100 feet from the bottom of a cliff notices a tower on top of the cliff. The angle of elevation to

vekshin1

Answer:

The tower is 102.26 feet tall.

Step-by-step explanation:

We have drawn the triangle for your reference.

According to the figure point 'A' is the persons eye.

Point 'B' is the bottom of the cliff.

Point 'C' is the top of the cliff.

And Point 'D' is the top of the tower.

Given,

A person standing 100 feet from the bottom of a cliff notices a tower on top of the cliff.

So from diagram we can say that;

Length of AB = 100 ft

The angle of elevation to the top of the cliff is 30°.

So from diagram we can say that;

∠CAB = 30°

the angle of elevation to the top of the tower is 58°.

So from diagram we can say that;

∠DAB = 58°

We have to find the height of the tower i.e. CD.

Solution,

In ΔCAB,

∠CAB = 30°

AB = 100 ft

Now according to trigonometric ratios;

$tan\theta=\frac{opposite\ side}{adjacent\ side}$

Substituting the values we get;

$tan\ 30\° = \frac{BC}{100}$

Now

$tan\ 30\° = \frac{1}{\sqrt{3}}$

$\frac{1}{\sqrt{3}} = \frac{BC}{100}\\\\BC =\frac{100}{\sqrt{3}} = 57.74 \ ft$

In ΔDAB,

∠DAB = 58°

AB = 100 ft

Now according to trigonometric ratios;

$tan\theta=\frac{opposite\ side}{adjacent\ side}$

Substituting the values we get;

$tan\ 58\° = \frac{BD}{100}$

Now

$tan\ 58\° = 1.60$

$1.60 = \frac{BD}{100}\\\\BD =100\times 1.6 = 160 \ ft$

Now BD = BC + CD

CD = BD - BC = 160 - 57.74 = 102.26 ft

Hence The tower is 102.26 feet tall.

6 0

4 years ago

If a triangle has sides of length 8 cm and 14 cm, what are the possible lengths of the third side?

Pie

Answer:

√260 and √132

Step-by-step explanation:

use pythagoreans theorem and you can replace a and b or a and c

8^2+14^2=x^2

64+196=x^2

260=x^2

x=√260

8^2+x^2=14^2

64+x^2=196

x^2=132

x=√132

7 0

4 years ago

Read 2 more answers

Since 1965, U.S. quarters have been made

Irina18 [472]

The answer is 29.4 grams.
How to solve:

1. Convert $15 to quarters. You can do this by multiplying 15 by 4. You use 4 because 4 quarters equal to $1. This will equal to 60 quarters.

2. Multiply both 5.76 and 6.25 by 60 to find the weight of $15 in quarters for today and before 1965.
Today: 5.76 g x 60 = 345.6 grams
Before 1965: 6.25 g x 60 = 375 grams

3. Now that you have the weight of quarters for both time periods, subtract! 375 grams - 345.6 grams = 29.4 grams

6 0

3 years ago