A toy cost 45 dollars but it is 25off but you have to play 7.25 of tax

What is the area of the figure:

Luba_88 [7]

For this case we have that the area of the triangle is given by:

$A = \frac {b * h} {2}$

Where:

b: It's the base

h: It's the height

We have to:

$cos (45) = \frac {b} {24}\\b = 24 * cos (45)\\b = \frac {\sqrt {2}} {2} * 24\\b = 12 \sqrt {2}$

The atura will be given by:

$sin (45) = \frac {h} {24}\\h = 24 * sin (45)\\h = \frac {\sqrt {2}} {2} * 24\\h = 12 \sqrt {2}$

So, the area is:

$A = \frac {12 \sqrt {2} * 12 \sqrt {2}} {2}\\A=\frac{(12\sqrt{2})^2}{2}\\A = 144$

Answer:

144

6 0

3 years ago

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Is anyone down to help???<br> Really need it!

Tanya [424]

The answer you want would be A

3 0

3 years ago

g The total national health expenditures per capita (in dollars) for 2006 and projected to 2021 can be modeled with the equation

Alex73 [517]

Answer:

a) The predicted per capita health expenditures for 2018 is $11943.5.

b) After 2018, it will take 16 years for the 2018 expenditures to double

Step-by-step explanation:

The total national health expenditures per capita, in dollars, is given by the following equation:

$H(t) = 6791e^{0.04343t}$

In which t is the number of years after 2005.

a. Find the predicted per capita health expenditures for 2018.

2018 is 13 years after 2005, so this is H(13).

$H(t) = 6791e^{0.04343t}$

$H(13) = 6791e^{0.04343*13}$

$H(13) = 11943.5$

The predicted per capita health expenditures for 2018 is $11943.5.

b. According to the model, how long will it take the 2018 expenditures to double?

First we find how many years after 2005, in which t is found when H(t) = 2*11943.5.

So

$H(t) = 6791e^{0.04343t}$

$2*11943.5 = 6791e^{0.04343t}$

$e^{0.04343t} = \frac{2*11943.5}{6791}$

$e^{0.04343t} = 3.5174$

Applying ln to both sides

$\ln{e^{0.04343t}} = \ln{3.5174}$

$0.04343t = \ln{3.5174}$

$t = \frac{\ln{3.5174}}{0.04343}$

$t = 29$

It will take 29 years after 2005 = 29-13 = 16 years after 2018.

After 2018, it will take 16 years for the 2018 expenditures to double

5 0

3 years ago

The Braves play 162 games in a

Elza [17]

Answer: they must win at least 42 more games

Step-by-step explanation:

6 0

3 years ago

Lines c and d are parallel. Parallel lines c and d are cut by transversals s and t. Clockwise from top left, the angles formed b

lys-0071 [83]

Answer:

Options (1), (2) and (5) are true.

Step-by-step explanation:

Option (1). m∠1 = (2x + 10)°

lines c and d are the parallel lines and t is a transverse.

Therefore, m∠1 = (2x + 10)° [corresponding angles]

This option is true.

Option (2). m∠3 = 87°

Since ∠3 and angle having measure equal to 87° are the vertical angles therefore, both the angles will be equal in measure.

This option is true.

Option (3). m∠2 = (2x + 10 + 5x - 1)°

m∠2 = (5x - 1)° [Since both the angles are interior alternate angles]

Therefore, this option is not true.

Option (4). m∠1 + m∠2 = m∠3

(5x - 1) + (2x + 10) + 87 = 180° [Sum of liner angles at a point is 180°]

7x + 96 = 180

7x = 180 - 96

x = $\frac{84}{7}$

x = 12

Therefore, m∠1 = (2x + 10) = 34°

m∠2 = (5x - 1) = 59°

m∠3 = 87°

For the given relation,

m∠1 + m∠2 = m∠3

34 + 59 = 87

93 = 87

Not true.

Therefore, this option is not correct.

Option (5). 87 + 2x + 10 + 5x - 1 = 180°

True.

Since these angles are the linear angles so the sum of all angles = 180°

Therefore, the given option is correct.

Options (1), (2) and (5) are the true.

4 0

3 years ago