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Brilliant_brown [7]

3 years ago

15

so far , a storm has traveled 35 miles in 1/2 hour. if its currently 5:00pm and the storm is 105 miles away from you , at what t

ime will the storm reach you ? explain your answer

1 answer:

SVETLANKA909090 [29]3 years ago

6 0

Answer:

hey do you want money if yes then tell me I will give you 1000$

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A lighthouse is 90 feet above sea level. The angle of depression from the top of the lighthouse to the center of the rock is 35

Marysya12 [62]

Notice the picture below

so.... the angle of depression, is above in dashed lines.... however, the angle of depression, is identical to the angle of elevation from the water, since, both angles are "alternate interior" angles

now, using the 45-45-90 rule, then we know the swimmer is 90 feet from the lighthouse, then just use the tangent ratio to get "x"

4 0

3 years ago

16. [-12 Points]

Cerrena [4.2K]

Answer:

Answer: A. 5:4 Step-by-step explanation: Since the question mentions twelfths of a pie, it is easier to say each pie has 12 pieces or 36 total pieces ordered from the 3 pies. Ty ate 5 and Rob ate 15 which is 3 times more than Ty. A total of 20 pieces have been eaten from the 36 you started with. Eaten = 16. So the ratio is 20:16 which is simplified to = 20 and Remaining 5:4.

8 0

3 years ago

Graph. y−2=2/3(x+4) Use the Line Tool and select two points to graph the equation. Use the slope and the point provided in the e

Darya [45]

Based on the equation, the coordinate point is (-4, 2). It is -4 because in the original equation, it's $-x_{1}$ , but because it's positive, that must mean it was originally a negative. Why? Because a negative times an negative equals a positive.

Now, let's convert this to Slope-Intercept Form.

y - 2 = 2/3(x + 4)
y - 2 = 2/3x + 8/3
Add 2 to both sides.
y = 2/3x + 14/3

The slope of the line is 2/3 and the original point was (-4, 2).

6 0

3 years ago

-7x+12-2x=23+13x simplify by combining like terms that are on the same side of the equation

zavuch27 [327]

-7x+12-2x=23+13x

First take away 13x from the right side and put it on the left side adding taking it away from -7x

-7x(-13x)=-20x
-20x+12-2x=23

then add 2x to -20x
and move 12 to the other side, minus it off of 23

-18x=11

then divide -18x on both sides

then x=-11/18

6 0

3 years ago

g Given the system of equations: 15 c1 – 5 c2 – c3 = 2400 - 5 c1 + 18 c2 – 6 c3 = 3500 - 4 c1 - c2 + 12 c3 = 4000 (a) Calculate

denpristay [2]

Answer

(a)

$A^{-1} = \frac{1}{3493} \begin{pmatrix} 210 && -59 && -12 \\ 84 && 176 && 95 \\ 77 && -5 && 295 \end{pmatrix}$

(b)

$A^{-1} b = \begin{pmatrix} \frac{500}{7} \\\\ \frac{2400}{7} \\\\ \frac{2700}{7} \end{pmatrix}$

Step-by-step explanation:

Remember that when you want to solve a problem like this, you express the equation as following

$Ax = b$

So, if you know the inverse of $A$ then

$x = A^{-1} b$

For this case

$A = \begin{pmatrix} 15 && 5 && -1 \\ -5 && 18 && -6 \\ -4 && -1 && 12 \end{pmatrix}$

Now for this case the inverse of A would be

$A^{-1} = \frac{1}{3493} \begin{pmatrix} 210 && -59 && -12 \\ 84 && 176 && 95 \\ 77 && -5 && 295 \end{pmatrix}$

Then when you multiply with the vector solution

$A^{-1} b = \frac{1}{3493} \begin{pmatrix} 210 && -59 && -12 \\ 84 && 176 && 95 \\ 77 && -5 && 295 \end{pmatrix} * \begin{pmatrix} 2400 \\ 3500 \\ 4000 \end{pmatrix} = \frac{1}{3493} \begin{pmatrix} 249500 \\ 1197600 \\ 1347300 \end{pmatrix}\\\\\\= \begin{pmatrix} \frac{500}{7} \\\\ \frac{2400}{7} \\\\ \frac{2700}{7} \end{pmatrix}$

So from that information you can conclude that the solution to the system of equations is x = 500/7 y = 2400/7 and z = 2700/7

7 0

3 years ago