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lara [203]
3 years ago
14

Can an acute and obtuse angle be supplementary? Draw a figure showing supplementary angles? ​

Mathematics
1 answer:
uysha [10]3 years ago
8 0
Yes, I will list acute first (<90) and obtuse second (>90) and they need to add to 180

10 and 170
20 and 160
30 and 150
40 and 140
50 and 130
60 and 120
70 and 110
80 and 100 and so on
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In a cohort of 35 graduating students, there are three different prizes to be awarded. If no student can receive more than one p
sweet [91]

We have been given in a cohort of 35 graduating students, there are three different prizes to be awarded. We are asked that in how many different ways could the prizes be awarded, if no student can receive more than one prize.

To solve this problem we will use permutations.

_{r}^{n}\textrm{P}={_{3}^{35}\textrm{P}}

We know that formula for permutations is given as

_{r}^{n}\textrm{P}=\frac{n!}{(n-r)!}

On substituting the given values in the formula we get,

{_{3}^{35}\textrm{P}}=\frac{35!}{(35-3)!}=\frac{35!}{32!}

=\frac{35\cdot 34\cdot 33\cdot 32!}{32!}\\&#10;\\&#10;=35\cdot 34\cdot 33=39270

Therefore, there are 39270 ways in which prizes can be awarded.


6 0
3 years ago
If line segment BH = 3, line segment BF = 10, line segment GH= 2, find HD 15 11 10.5 ?
pav-90 [236]

HD = 10.5

Step-by-step explanation:

Given BH = 3, GH = 2, BF = 10

Step 1: To find HF:

HF = BF – BH

HF = 10 – 3

HF = 7

Step 2: To find HD:

We know that if two chords intersects inside a circle, the product of the lengths of the segments of one chord equals the product of the lengths of the segments of the other chord.

⇒ GH × HD = BH × HF

⇒ 2 × HD = 3 × 7

⇒ HD = 10.5

Hence, the value of HD = 10.5.

5 0
3 years ago
Read 2 more answers
1
bogdanovich [222]

Answer:

12$ an hour

Step-by-step explanation:

60 minutes in an hour 15 times 4= 60 which is one hour, so 4 times 3 equals 12 which is the answer

4 0
3 years ago
Read 2 more answers
40,000 is 10 times as much as
Dimas [21]
40,000 is 10 times as much as 4,000
3 0
3 years ago
Equation for= Y=x shift the graph up 5 units
telo118 [61]

Answer:

y = x + 5

Step-by-step explanation:

The graph of the ramp function y = x is a straight line with slope +1 and passing through the origin.  If the whole graph is shifted up 5 units, the equation/function becomes

y = x + 5.  The resulting graph is parallel to y = x.

5 0
3 years ago
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