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ivolga24 [154]
2 years ago
7

A professional cyclist is training for the Tour de France. What was his average speed in kilometers per hour if he rode the 194

kilometers from Laval to Blois in 4.2 hours?
Mathematics
1 answer:
Lisa [10]2 years ago
4 0
Start with the distance equation D=RT, then plug in numbers

194=R x 4.2, so all we have to do is divide 194 by 4.2. 

Answer: 46.19 kph 
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Find the value of x. Write your answer in simplest form.
klemol [59]

Answer:

The value of x is 8

Step-by-step explanation:

4 0
3 years ago
The following picture is a square pyramid where DE=8 cm and m∠ADE=60°.
Goryan [66]

<u>Given</u>:

The length of DE is 8 cm and the measure of ∠ADE is 60°.

We need to determine the surface area of the pyramid.

<u>Length of AD:</u>

The length of AD is given by

cos 60^{\circ}=\frac{FD}{8}

       4=FD

Length of AD = 8 cm

<u>Slant height:</u>

The slant height EF can be determined using the trigonometric ratio.

Thus, we have;

     sin \ 60^{\circ}=\frac{EF}{8}

sin \ 60^{\circ} \times 8=EF

      \frac{\sqrt{3}}{2} \times 8=EF

          4\sqrt{3}=EF

Thus, the slant height EF is 4√3

<u>Surface area of the square pyramid:</u>

The surface area of the square pyramid can be determined using the formula,

SA=Area \ of \ square + \frac{1}{2} (Perimeter \ of \ base ) (slant \ height)

Substituting the values, we have;

SA=8^2+\frac{1}{2}(8+8+8+8)(4 \sqrt{3})

SA=64+\frac{1}{2}(32)(4 \sqrt{3})

SA=64+(16)(4 \sqrt{3})

SA=64+64 \sqrt{3}

The exact form of the area of the square pyramid is 64+64 \sqrt{3}

Substituting √3 = 1.732 in the above expression, we have;

SA = 64 + 110.848

SA = 174.848

Rounding off to one decimal place, we get;

SA = 174.8

Thus, the area of the square pyramid is 174.8 cm²

7 0
2 years ago
Read 2 more answers
The longest side of an isosceles right triangle measures 16m. What is the perimeter ofthe triangle?
Andreyy89

Answer:

In right triangle hypotenus(side facing angle 90)is the longest

Step-by-step explanation:

lets say hyp=side1 +side2 were(side1=side2 in isocseles..) and Let x bet the length of side 1

So by applying phythegoras theorem :

hyp^2=x^2+x^2

16^2 =2x^2

2x^2=256

x^2=128

\sqrt{x { }^{2} }  =  \sqrt{128}

x=

8 \sqrt{2}

Parameter=16+8

8 \sqrt{2 }  + 8 \sqrt{2 }  + 16

16 \sqrt{2}  + 16

7 0
2 years ago
HELPP I NEED THIS ASAP
Verizon [17]

Answer:

you have it done? what do you need

Step-by-step explanation:

4 0
2 years ago
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Round 2.372 to the nearest tenth
creativ13 [48]
There is no ones place after the decimal so 3 is in the tenth place, so 2.4
8 0
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