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san4es73 [151]
3 years ago
13

Two pupils each drew a triangle with one side of 6 cm , one side of 10 cm and one side of 7 cm. Must their triangles be congruen

t? (Answer ‘yes’ or ‘no’).
Mathematics
1 answer:
nikitadnepr [17]3 years ago
7 0

Answer:

no

Step-by-step explanation:

they can be either side because the numbers are different in the angles

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Sin α = 21/29, α lies in quadrant II, and cos β = 15/17, β lies in quadrant I Find sin (α - β).
Sever21 [200]
\sin(\alpha-\beta)=\sin\alpha\cos\beta-\cos\alpha\sin\beta

\sin\alpha=\dfrac{21}{29}\implies \cos^2\alpha=1-\sin^2\alpha=\dfrac{400}{841}

Since \alpha lies in quadrant II, we have \cos\alpha, so

\cos\alpha=-\sqrt{\dfrac{400}{841}}=-\dfrac{20}{29}

\cos\beta=\dfrac{15}{17}\implies\sin^2\beta=1-\cos^2\beta=\dfrac{64}{289}

\beta lies in quadrant I, so \sin\beta>0 and

\sin\beta=\sqrt{\dfrac{64}{289}}=\dfrac8{17}

So

\sin(\alpha-\beta)=\dfrac{21}{29}\dfrac{15}{17}-\left(-\dfrac{20}{29}\right)\dfrac8{17}=\dfrac{475}{493}
8 0
3 years ago
Goldie's apple juice boxes hold 6.9 ounces. If there are 8 boxes in a package, how many ounces of apple juice are in a package?
yuradex [85]
Answer:

See below

Explanation:

You multiply 8 and 6.9
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6 0
2 years ago
Someone please help me with this problem!!! I really need help and I don’t understand it!! If you know it please explain how you
nikitadnepr [17]
Distance = Rate * Time where the asterisk represents multiplication

We can isolate the rate if we divide both sides by the time. So we'll end up with this formula
Rate = Distance/Time
which can be written as 
r = d/t

The distance is measured in feet while the time is measured in minutes. The rate r is measured in feet per minute. If the speed was 10 feet per minute, then this would mean that the object travels 10 feet every minute. Or put another way, when one minute passes by, the object has traveled 10 feet.

How did I get "feet per minute" from the equation r = d/t? 
Well the units for "d" are in feet, and the units for "t" are in minutes

So writing "d/t" would turn into "feet/minute" when we think of the units only (ignore the actual numbers). Then we rewrite "feet/minute" into "feet per minute" as they mean the same thing, just written different ways. 

-----------------------------------------------------

Answer: The units for the speed or rate are in feet per minute
3 0
3 years ago
Predict the next three numbers in the pattern 10,7,4,1
Anettt [7]
-2, -5, -8. The pattern shows that the numbers decrease by 3.
6 0
3 years ago
Read 2 more answers
A lollipop weighs 1 ounce. Do 14 lollipops weigh more than 1 pound
makvit [3.9K]

Answer:

they weigh less than a pound

Step-by-step explanation:

because  1 pound is equal to 16 ounces

5 0
3 years ago
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