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3 years ago

Dana can jump a rope for 264 in 4 min.how many jumps can dana do in 1 min

Mathematics

1 answer:

lara31 [8.8K]3 years ago

7 0

Answer:

Dana can do 66 jumps in a minute

Step-by-step explanation:

Because 264 ÷ 4 = 66

So, Dana can do 66 jumps per minute

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Triangle X Y Z is shown. Angle X Z Y is a right angle. Angle Z X Y is 60 degrees and angle X Y Z is 30 degrees. The length of hy

vladimir1956 [14]

Answer:

StartFraction StartRoot 3 EndRoot Over 3 EndFraction

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

we know that

In the right triangle XYZ

$cos(Y)=\frac{ZY}{XY}$ ---> adjacent side divided by the hypotenuse

substitute the values

$cos(30\°)=\frac{ZY}{4}$

Remember that

$cos(30\°)=\frac{\sqrt{3}}{2}$

substitute

$\frac{\sqrt{3}}{2}=\frac{ZY}{4}$

$ZY=(4)\frac{\sqrt{3}}{2}$

$ZY=2\sqrt{3}\ units$

step 2

$sin(Y)=\frac{XZ}{XY}$ --> opposite side divided by the hypotenuse

substitute the values

$sin(30\°)=\frac{XZ}{4}$

Remember that

$sin(30\°)=\frac{1}{2}$

$\frac{1}{2}=\frac{XZ}{4}$

$XZ=2\ units$

step 3

$tan(Y)=\frac{XZ}{ZY}$ --> opposite side divided by adjacent side

substitute the values

$tan(Y)=\frac{2}{2\sqrt{3}}$

$tan(Y)=\frac{1}{\sqrt{3}}$

Simplify

$tan(Y)=\frac{\sqrt{3}}{3}$

StartFraction StartRoot 3 EndRoot Over 3 EndFraction

7 0

2 years ago

Read 2 more answers

Three less than the product of 9 and a number is equal to 6

Alchen [17]

Answer:

3<9n=6 or 3-9n≤6

Step-by-step explanation:

if you are writing an equation I would go with the second

8 0

3 years ago

Read 2 more answers

Divide. −4 1/3 ÷ −2 3/5 A. 1 2/3 B. 1 4/5 C. 2 1/5 D. 2 3/5

Inga [223]

a. $1 \frac{2}{3}$

trust me it's the correct answer :)

7 0

3 years ago

8x^3y^4-22x^5y^6 gcf

schepotkina [342]

Don't trust those link my cuz

5 0

3 years ago

Two buses leave a station at the same time and travel in opposite directions. One bus travels 15 /kmh faster than the other. If

Nat2105 [25]

Since the buses travel in opposite directions, the speed at which they distance themselves is the sum of their speeds.
One bus travels at speed s.
The other bus travels at speed s + 15.
The sum of the speeds is s + s + 15 = 2s + 15

speed = distance/time

distance = speed * time

366 = (2s + 15) * 2

183 = 2s + 15

168 = 2s

s = 84

The slower bus travels at 84 km/h.

s + 15 = 84 + 15 = 99

The faster bus travels at 99 km/h.

Check:
In 2 hours, the slower bus travels 2 * 84 km = 168 km
In 2 hours, the faster bus travels 2 * 99 km = 198 km
In 2 hours, the buses are 198 km + 168 km = 366 km apart.
Our answer is correct.

6 0

2 years ago