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3 years ago

Tangent 45 degrees equal to X over 100

1 answer:

5 0

Tan (45)=x/100
Put tan(45) over 1 and cross multiply to get an equation
Tan (45)•100=1x
Solve for x
Tan (45)•100=161.977

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Graph the function defined by the parametric equations x = 2t3 – 3t and y = -2t2 – 1 over the parameter

den301095 [7]

9514 1404 393

Answer:

see attached

Step-by-step explanation:

A graphing calculator does this nicely.

4 0

3 years ago

Consider three events A, B and C with following properties.

lisov135 [29]

By the inclusion/exclusion principle,

$\mathbb P(D)=\mathbb P(A\cup B\cup C)$
$\mathbb P(D)=\mathbb P(A)+\mathbb P(B)+\mathbb P(C)-\bigg(\mathbb P(A\cap B)+\mathbb P(A\cap C)+\mathbb P(B\cap C)\bigg)+\mathbb P(A\cap B\cap C)$
$\mathbb P(D)=\dfrac14+\dfrac16+\dfrac14-\dfrac39+\dfrac1{13}$
$\mathbb P(D)=\dfrac{16}{39}\neq1$

So the union of A, B, and C does not constitute the entire sample space.

5 0

3 years ago

Of the 25 fish that Karl caught

otez555 [7]

Answer:

1,820 trout

Step-by-step explanation:

Set up a proportion where x is the number of trout in the lake:

$\frac{7}{25}$ = $\frac{x}{6,500}$

Cross multiply and solve for x:

25x = 45,500

x = 1820

So, you could expect 1,820 trout to be in the lake.

7 0

3 years ago

Three brothers Charlie Robert and Nicholas have 21 video games Charlie has twice as many games as Robert. Robert has 5 fewer gam

AVprozaik [17]

Answer:

The equation would be $4x-15=21$ .

Step-by-step explanation:

Given;

Total Number of Video games = 21

Let the number of video game Nicholas has be 'x'.

Now Given:

Robert has 5 fewer games than Nicholas.

so we can say that;

number of video game Robert has = $x-5$

Also Given:

Charlie has twice as many games as Robert.

so we can say that;

number of video game Charlie has = $2(x-5)=2x-10$

we need to write the equation.

Solution:

Now we can say that;

Total Number of Video games is equal to sum of number of video game Nicholas has, number of video game Robert has and number of video game Charlie has.

framing the equation we get;

$x+x-5+2x-10=21\\\\4x-15=21$