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zheka24 [161]
3 years ago
5

A helicopter flies 240 miles in 2 hours 30 minutes.

Mathematics
2 answers:
shepuryov [24]3 years ago
8 0
96 mph


step by step explanation:
240/2.5
mylen [45]3 years ago
4 0

Answer:

96 mph is the answer

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With reference to the figure, sin X equals?<br> 1.) 0.250<br> 2.)0.447<br> 3.)0.894<br> 4.)1
Flura [38]

Answer:

3.) 0.894

Step-by-step explanation:

✔️First, find BD using Pythagorean Theorem:

BD² = BC² - DC²

BC = 17.89

DC = 16

Plug in the values

BD² = 17.89² - 16²

BD² = 64.0521

BD = √64.0521

BD = 8.0 (nearest tenth)

✔️Next, find AD using the right triangle altitude theorem:

BD = √(AD*DC)

Plug in the values into the equation

8 = √(AD*16)

Square both sides

8² = AD*16

64 = AD*16

Divide both sides by 16

4 = AD

AD = 4

✔️Find AB using Pythagorean Theorem:

AB = √(BD² + AD²)

AB = √(8² + 4²)

AB = √(64 + 16)

AB = √(80)

AB = 8.9 (nearest tenth)

✔️Find sin x using trigonometric ratio formula:

Reference angle = x

Opposite side = BD = 8

Hypotenuse = AB = 8.944

Thus:

sin(x) = \frac{opp}{hyp} = \frac{8}{8.944} = 0.894 (nearest thousandth)

6 0
3 years ago
A is a 4x4 matrix and A^2 + 4A - 5I = 0. If det(A+2I)&gt;0, enter det(A+2I)
maw [93]
\mathbf A^2+4\mathbf A-5\mathbf I=0
\implies\mathbf A^2+4\mathbf A+4\mathbf I=(\mathbf A+2\mathbf I)^2=9\mathbf I
\implies\det\bigg((\mathbf A+2\mathbf I)^2\bigg)=\det(9\mathbf I)
\implies\det(\mathbf A+2\mathbf I)^2=9^4\det\mathbf I
\implies\det(\mathbf A+2\mathbf I)=\pm\sqrt{9^4}
\implies\det(\mathbf A+2\mathbf I)=9^2=81

where we take the positive root because we're told that the determinant is positive.
5 0
3 years ago
PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS ASAP
klemol [59]

Answer:

A. (-3,1)

Explanation:

if you invert the point over the Y-axis, then it will switch the x point to negative.

8 0
2 years ago
Can someone give me a linear equation word problem, and the answer to it
blondinia [14]
Raymond just got done jumping at Super Bounce Trampoline Center. The total cost of his session was <span><span>\$43.25<span>$43.25</span></span>dollar sign, 43, point, 25</span><span>. He had to pay a </span><span><span>\$7<span>$7</span></span>dollar sign, 7</span><span> entrance fee and </span><span><span>\$1.25<span>$1.25</span></span>dollar sign, 1, point, 25</span>for every minute he was on the trampoline.<span><span>Write an equation to determine the number of minutes </span><span><span>(t)<span>(t)</span></span>left parenthesis, t, right parenthesis</span><span> that Raymond was on the trampoline.</span></span>
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3 years ago
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faltersainse [42]

Answer:

(x + 9) (x - 8)

Replace a with 9

and b with -8

Step-by-step explanation:

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