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Neko [114]
3 years ago
11

Sue biked 5 kilometers each day for 7 days. How many cm did she bike in all?

Mathematics
2 answers:
Tasya [4]3 years ago
4 0

Answer:

3,500,000

Step-by-step explanation:

PIT_PIT [208]3 years ago
4 0

Answer:

Sue biked 3,500,000 centimetres.

Step-by-step explanation:

First, multiply 5 km by 7 (days). 5 × 7 = 35 km

Convert the kilometres to centimetres.

There are 100,000 cm in a kilometer, so multiply:

35 × 100,000 = 3,500,000 cm.

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How can csc^2-cot^2 = 1?
Softa [21]

ANSWER

By simplifying the left hand side using the Pythagorean Identity.

EXPLANATION

The given identity is

\csc^{2} (x) -  \cot^{2} (x) = 1

Take the left hand side and simplify to get the right hand side.

\csc^{2} (x) -  \cot^{2} (x) =  \frac{1}{\sin^{2} (x)}  - \frac{ \cos^{2} (x)}{\sin^{2} (x)}

Collect LCM for the denominators.

\csc^{2} (x) -  \cot^{2} (x) =  \frac{1 -  \cos^{2} (x)}{\sin^{2} (x)}

Recall the Pythagorean Identity.

\cos^{2} (x) +  \sin^{2} (x) = 1

This implies that:

1 -  \cos^{2} (x) =  \sin^{2} (x)

We substitute this to get,

\csc^{2} (x) -  \cot^{2} (x) =  \frac{\sin^{2} (x)}{\sin^{2} (x)}

\csc^{2} (x) -  \cot^{2} (x) = 1

6 0
3 years ago
Which expression is equivalent to the following 1/a^5?
Fofino [41]

Answer:

if this is a fraction, then negative 5 over a⁶

7 0
3 years ago
Hank rode his bike for 2 hours at a rate of 11 miles, how far did hank ride
FrozenT [24]

Answer:

The answer is 22 miles because hank was riding for 11 mph so in another hour he would have done 22 miles

4 0
3 years ago
Read 2 more answers
Draw two polygons that have corresponding angles that are all congruent but are not similar to prove that angle congruence is no
Marina86 [1]

There are infinitely many ways to do this. One such way is to draw a very thin stretched out rectangle (say one that is very tall) and a square. Example: the rectangle is 100 by 2, while the square is 4 by 4.

Both the rectangle and the square have the same corresponding angle measures. All angles are 90 degrees.

However, the figures are not similar. You cannot scale the rectangle to have it line up with the square. The proportions of the sides do not lead to the same ratio

100/4 = 25

2/4 = 0.5

so 100/4 = 2/4 is not a true equation. This numerically proves the figures are not similar.

side note: if you are working with triangles, then all you need are two pairs of congruent corresponding angles. If you have more than three sides for the polygon, then you'll need to confirm the sides are in proportion along with the angles being congruent as well.

3 0
3 years ago
if log 2 = ( 0.3010 ), Log 3 = ( 0.4771 ) and Log 5 = ( 0.6990 ) then find the value of the following: Log 24... The answer is (
tekilochka [14]

Answer: 1. 3801

Step-by-step explanation:

Log 24 = Log(8x3)

From the laws of Logarithm

Log ( a xb) = Log a + Log b

so, Log (8x3) = Log8 + Log 3

Also Log 8 can be written as Log2^{3} since 2^{3} is still 8 , so the expression becomes

Log2^{3} + Log 3

⇒ 3 Log 2 + Log 3

since the value of Log 2 and Log 3 has been given , substitute into the expression , we have

3 (0.3010) + 0.4771

= 0.903 + 0.4771

= 1.3801

4 0
3 years ago
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