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Lady_Fox [76]
3 years ago
7

Terance galloped 20 kilometers in 40 minutes. Then he trotted 6 kilometers in 120 minutes. By how much did his first rate exceed

his second rate?
Mathematics
1 answer:
SOVA2 [1]3 years ago
5 0
20km/40min=0.5km per minute
6km/120min=6/120=1/20 or 0.05km per minute

0.5km/min is 10 times faster then 0.05km.min

His first rate exceeded his second rate by 10 times, or 1000%
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Suppose a certain baseball diamond is a square 65 feet on a side. The pitching rubber is located 41.5 feet from home plate on a
GarryVolchara [31]

Answer:

<h2>a. 41.5 ft</h2><h2>b. 41.5 ft.</h2><h2>c. 90°.</h2>

Step-by-step explanation:

Notice that a baseball diamond is a square, which means all sides are equal. In this case, each side is 65 feet long.

It's important that a square is a symmetric figure, as a symmetric quadrilateral, its diagonals are congruent and the bisect each other. That means that the distance from every corner to the center is the same.

a. Based on square definitions, the distance from the pitching rubber to first base is 41.5 feet.

b. Based on square definitions, the distance from the pitching rubber to second base is 41.5 feet.

c. if the pitcher faces the home plate, he needs to turn his 90° to face the first base, that is because diagonals are perpendicular each other, which means they have a right angle between.

3 0
3 years ago
Log2x16=log39<br>need help to figure out
viva [34]
㏒3(9)=㏒3(3)²=2
(2x)²=16 (the exponent 2 in this equation is the result of step 1)
2x=4
x=2
3 0
3 years ago
List the potential solutions to 2 ln x = 4 ln 2 from least to greatest.
svp [43]

We have to find the potential solutions to 2 ln x = 4 ln 2 from least to greatest.

Using the properties of ln function.

a \times ln b = ln b^{a}

Therefore, we get

ln x^{2} = ln 2^{4}

ln x^{2} = ln 16

taking antilog on both the sides, we get

x^{2} = 16

So, x = \pm 4

Therefore, the potential solutions to 2 ln x = 4 ln 2 from least to greatest is -4 and 4.

3 0
2 years ago
Read 2 more answers
(8x10^-3) ÷ (2x10^-4)​
Lorico [155]

Answer:

40

Step-by-step explanation:

8*10^-3=0.003

2*10^-4=0.0002

0.003÷0.0002=40

5 0
3 years ago
A wealthy entrepreneur has a fortune worth £2 500 000 000. What power of 10 should this number be to when written in scientific
Lubov Fominskaja [6]

Answer:

9.

Step-by-step explanation:

Count the number of digits after the first digit,

This is 9.

4 0
2 years ago
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