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Nina [5.8K]
3 years ago
7

Hong drove 648 miles in 9 hours.

Mathematics
2 answers:
ioda3 years ago
6 0

Answer:

864 miles

Step-by-step explanation:

648/9 = 72 mph

72 x 12 = 864

koban [17]3 years ago
3 0

Answer:

he drive 864 miles

Step-by-step explanation:

\frac{648}{9}  \times 12 = 864miles

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HELP PLSS WILL GIVE BRAINLIEST<br> Solve N = 3rt^4 - 5rz <br> (solve for z)
Whitepunk [10]

Answer:

Step-by-step explanation:

N = 3rt^4 - 5rz

now factor r out

N = r(3t^4-5z)

divide by r on both sides

N/r = (3t^4 - 5z)

subtract (3t^4)

N/r - 3t^4 = -5z

now divide by -5 to isolate the variable (z)

\frac{(n/r)-3t^4}{-5} = z

7 0
3 years ago
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Kyle grates 4/8 pound of cheese for enchiladas. He grates 2/8 pound of cheese for tacos. How much cheese does Kyle grate in all?
babymother [125]

He grates 6/8 pounds of cheese in all.

For this problem, you just have to add the numerators and keep the denominators.

4/8 + 2/8 = 6/8.

Remember, if the denominator is the same, just add the numerator.

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3 years ago
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An aeroplane X whose average speed is 50°km/hr leaves kano airport at 7.00am and travels for 2 hours on a bearing 050°. It then
Zigmanuir [339]

Answer:

(a)123 km/hr

(b)39 degrees

Step-by-step explanation:

Plane X with an average speed of 50km/hr travels for 2 hours from P (Kano Airport) to point Q in the diagram.

Distance = Speed X Time

Therefore: PQ =50km/hr X 2 hr =100 km

It moves from Point Q at 9.00 am and arrives at the airstrip A by 11.30am.

Distance, QA=50km/hr X 2.5 hr =125 km

Using alternate angles in the diagram:

\angle Q=110^\circ

(a)First, we calculate the distance traveled, PA by plane Y.

Using Cosine rule

q^2=p^2+a^2-2pa\cos Q\\q^2=100^2+125^2-2(100)(125)\cos 110^\circ\\q^2=34175.50\\q=184.87$ km

SInce aeroplane Y leaves kano airport at 10.00am and arrives at 11.30am

Time taken =1.5 hour

Therefore:

Average Speed of Y

=184.87 \div 1.5\\=123.25$ km/hr\\\approx 123$ km/hr (correct to three significant figures)

(b)Flight Direction of Y

Using Law of Sines

\dfrac{p}{\sin P} =\dfrac{q}{\sin Q}\\\dfrac{125}{\sin P} =\dfrac{184.87}{\sin 110}\\123 \times \sin P=125 \times \sin 110\\\sin P=(125 \times \sin 110) \div 184.87\\P=\arcsin [(125 \times \sin 110) \div 184.87]\\P=39^\circ $ (to the nearest degree)

The direction of flight Y to the nearest degree is 39 degrees.

7 0
3 years ago
A rectangle has a length of 3x + 7 and a width of 2x. If the perimeter of the
Art [367]

Answer:

The length of the rectangle is 31.

Step-by-step explanation:

We have that the length (L) and width (W) are:

L = 3x + 7

W = 2x

The perimeter of the rectangle is given by:

P = 2W + 2L

94 = 2(2x + 3x + 7)

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Now, we can calculate the length of the rectangle:

L = 3x + 7 = 3*8 + 7 = 31        

         

Therefore, the length of the rectangle is 31 units.

I hope it helps you!                

7 0
3 years ago
Two rectangles have the exact same area. The measurements of the first rectangle are: length = 3k and width = 3 And the measurem
lions [1.4K]

Answer:

k

Step-by-step explanation:

because

5 0
3 years ago
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