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Artyom0805 [142]
3 years ago
5

Sara is driving home from college for the weekend. The average speed of her car for the trip is 45 miles per hour. Write a verba

l model and algebraic expression to represent the distance Sara's car travels in h hours. Identify the units for the expression
Mathematics
1 answer:
Ugo [173]3 years ago
6 0
General\ formula\ for\ speed:\\V=\frac{s}{h},\ where\ V-speed,\ s-distence\ ,h-time\\\\s=Vh\\\\When\ speed\ is\ in\ mph,\ then\ distance\ have\ to\ be\ in\ miles\ and\ time\\in\ hours.
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Find the surface area of the pyramid
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32√3

Step-by-step explanation:

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Please help<br> Find f(1/3) if f(n) = 3n.
kaheart [24]

Answer:

1

Step-by-step explanation:

f(n) = 3n

f(1/3)= 3*(1/3)=1

f(1/3)=1

5 0
3 years ago
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Posted this question 1000times. Plz some answer plz plz i beg. Plz show all working, thank you sir
Novosadov [1.4K]

Answer:

\approx 26.16\:\mathrm{m}

Step-by-step explanation:

Let h be the height of the tree. In reference to the tree and bird, a right triangle is formed. We can write the following trig function for that right triangle:

\tan28^{\circ}=\frac{h}{15},\\h=15\tan28^{\circ},\\h\approx 7.98\:\mathrm{m}.

Now we can use this to find the hypotenuse of this triangle (the distance between the cat and the bird):

Let the distance between the cat and bird be k. Then,

7.98^2+15^2=k^2,\\k\approx 16.99\:\mathrm{m}. This is one side of the triangle that is formed by the cat, bird, and mouse.

The right triangle formed by the tree, cat, and mouse shares the height h with the other right triangle, as we found earlier. Let l represent the hypotenuse of this triangle or the distance between the cat and mouse. We then have the following trig function:

\sin 40^{\circ}=\frac{7.98}{l},\\l=\frac{7.98}{\sin40^{\circ}}\approx 12.41\:\mathrm{m}. This is another side of the triangle that is formed by the cat, bird, and mouse.

The triangle that is formed by the cat, bird, and mouse has shares an angle of 125^{\circ} with the base of the auxiliary pyramid. The other angles, however, are not shared.

Since we have two sides and the angle between these two sides, we can use the Law of Cosines to find the other side (the distance between the mouse and bird). The Law of Cosines is given by:

m^2=k^2+l^2-2kl\cos M, where m is the distance between the bird and the mouse and the other variables are defined above.

Plugging in values, we get:

m^2=16.99^2+12.41^2-2\cdot16.99\cdot12.41\cdot\cos 125^{\circ}

Solving, we get:

m\approx \fbox{$26.16\:\mathrm{m}$}.

5 0
3 years ago
Which ordered pair would form a proportional relationship with the point graphed below ?
Harman [31]

Answer:

(-30, 10)

Step-by-step explanation:

if you multiply both -20 and 60 by -0.5 you get 10 and -30 respectively. being the only pair of numbers achievable by the proportion property.

4 0
3 years ago
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