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katrin2010 [14]

3 years ago

8

A baseball diamond is a square with sides of 90 ft What is the straight Distance between 1st and 3rd bases to the nearest thenth

of foor? YOU DO NOT NEED TO TYPE UNITS

1 answer:

yuradex [85]3 years ago

5 0

Answer:c=127.3ft

Step-by-step explanation:Divide the square into two on the line between 1st and 3rd base, you now have two right triangles, pick one. The triangle has two legs and a hypotenuse, the length of the hypotenuse is the distance you need. The legs are 90ft long and you need to use the Pythagorean theorem. 90 squared plus 90 squared equals c squared, so 8100+8100=c^2, 16200=c^2, c=127.27922061

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Carys is checking her tax bill for the last year .the tax rates were as follows: no tax on the first 11000 of earnings .earnings

faust18 [17]

Answer:

$7,440.

Step-by-step explanation:

We have been given the tax rates as follows:

$0-$11,000 = No tax.

$11,000-$43,000 = 20%.

$43,000-$150,000 = 40%.

Earnings over $150,000 = 45%.

Since last year Carys earned $45,600, so we will have to find the tax paid by her for 11,000-43,000 at rate of 20%, then the tax for amount over 43,000 at the rate of 40%.

$\text{The amount of tax paid by Carys for 11000-43000}=\frac{20}{100}\times (43,000-11,000)$

$\text{The amount of tax paid by Carys for 11000-43000}=0.20\times (32,000)$

$\text{The amount of tax paid by Carys for 11000-43000}=6400$

$\text{The amount of tax paid by Carys for the amount over 43000}=\frac{40}{100}\times (45,600-43,000)$

$\text{The amount of tax paid by Carys for the amount over 43000}=0.40\times (2600)$

$\text{The amount of tax paid by Carys for the amount over 43000}=1040$

$\text{The total amount of tax paid by Carys}=6400+1040$

$\text{The total amount of tax paid by Carys}=7440$

Therefore, Carys paid an amount of $7,440 in tax.

6 0

3 years ago

Read 2 more answers

The x - coordinate of A' is _____<br> . The y - coordinate of A' is _____

Kazeer [188]

Answer:

(-3, 2)

Step-by-step explanation:

Since you are reflecting over the y-axis (the vertical axis), you are flipping the figure over to the left. As a result, you are going over to -3 and up to 2

8 0

3 years ago

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Find the first three terms of the series represented by the formula 3(- 2)(n - 1).

enyata [817]

Answer:

0, - 6, - 12

Step-by-step explanation:

To find the first 3 terms, substitute n = 1, 2, 3 into the formula

a₁ = 3(- 2)(1 - 1) = 3 × - 2 × 0 = 0

a₂ = 3(- 2)(2 - 1) = 3 × - 2 × 1 = - 6

a₃ = 3(- 2)(3 - 1) = 3 × - 2 × 2 = - 12

First 3 terms are 0, - 6, - 12

8 0

3 years ago

A system of equations is shown below. y = –x – 3 5x + 2y = 9 What is the solution to this system?

erastovalidia [21]

Answer:

$x=5\ and\ y=-8$

The solution of the system can be given as (5,-8).

Step-by-step explanation:

Given system of equations:

$y=-x-3$

$5x+2y=9$

To solve the given system of equations:

Solution:

We will use substitution to solve the given system.

We will substitute the $y$ values in terms of $x$ from the equation $y=-x-3$ into the other equation to solve for $x$

Substituting $y=-x-3$ into $5x+2y=9$ .

We have:

$5x+2(-x-3)=9$

<em>Using distribution.</em>

$5x-2x-6=9$

<em>Combining like terms.</em>

$3x-6=9$

Adding 6 both sides.

$3x-6+6=9+6$

$3x=15$

Dividing both sides by 3.

$\frac{3x}{3}=\frac{15}{3}$

∴ $x=5$

<em>Plugging in $x=5$ into $y=-x-3$ .</em>

We have,

$y=-5-3$

∴ $y=-8$

The solution of the system can be given as (5,-8).

4 0

3 years ago

Find the exact solution of x <br> 3x^2+7=28<br> A.+√7<br> B.7<br> C.+7<br> D.-7

yulyashka [42]

Answer:

x = ± $\sqrt{7}$

Step-by-step explanation:

3x² + 7 = 28 ( subtract 7 from both sides )

3x² = 21 ( divide both sides by 3 )

x² = 7 ( take square root of both sides )

x = ± $\sqrt{7}$

that is x = - $\sqrt{7}$ , x = $\sqrt{7}$

3 0

2 years ago

Read 2 more answers