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Molodets [167]
2 years ago
12

Given right triangle ABC which of the following statements must be true? Check all that apply.

Mathematics
1 answer:
Pachacha [2.7K]2 years ago
5 0

Answer:

Option A. <A and <B are complementary angles

Option D. Sin(C)=Cos(90\°-C)

Step-by-step explanation:

we know that

If ABC is a right triangle

then

------> by complementary angles

and

Sin(C)=Cos(A)

Cos(C)=Sin(A)

Remember that

A=90\°-C

so

Sin(C)=Cos(90\°-C)

Cos(C)=Sin(90\°-C)

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Liam has a bag of b beads. He gives 20 beads to his sister. He then makes 4 necklaces with the same of beads on each necklace us
grin007 [14]

Given :

Liam has a bag of b beads.

He gives 20 beads to his sister.

He then makes 4 necklaces with the same of beads on each necklace using all of the remaining beads.

To Find :

Write an expression that represents the number of beads on each necklace.

Solution :

Number of necklace remains after giving 20 beads to his sister is ( b - 20 ).

Number of beads on each necklace using all of the remaining beads  is :

N=\dfrac{b-20}{4}

Hence, this is the required solution.

6 0
1 year ago
Minato drove 390 miles. Part of the drive was along local roads, where his average speed was 20 mph, and the rest was along a hi
pashok25 [27]

Answer:

45 miles.

Step-by-step explanation:

Given that the:

Total distance covered = 390 miles

Total time = 8 hours

Let the distance covered along the local way = L

And the distance covered along the highway = H

Along with local way,

Speed = distance/ time

20 = L / T

T = L /20 .... (1)

Along the highway,

Distance covered H = 390 - L

Let the time = t

Speed = distance/time

60 = (390 - L)/t

t = ( 390 - L)/60

But total time = T + t

That is

8 = L/20 + (390 - L)/60

The LCM at right hand side will be 60

8 = ( 3L + 390 - L )/60

Cross multiply

480 = 2L + 390

Collect the like terms

2L = 480 - 390

2L = 90

L = 90/2

L = 45 miles.

Therefore, the distance Minato drive along local roads is 45 miles

4 0
2 years ago
A scientist is studying red maple tree growth in a state park. She measured the trunk diameters of a sample of trees in the same
Natali5045456 [20]
Point b is the correct answer love!
4 0
1 year ago
The following are the hypotheses for a test of the claim that college graduation statue and cola preference are independent. H0:
Shkiper50 [21]

Answer:

\chi^2 = 0.579

And the critical value for the significance level used is:

\chi^2_{crit}= 5.991

Since the calculated value is less than the critical value we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the College graduation status and cola preference are independent

Step-by-step explanation:

For this case we want to test the following hypothesis:

Null hypothesis: College graduation status and cola preference are independent

Alternative hypothesis: College graduation status and cola preference are dependent

For this case we got a calculated statistic of:

\chi^2 = 0.579

And the critical value for the significance level used is:

\chi^2_{crit}= 5.991

Since the calculated value is less than the critical value we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the College graduation status and cola preference are independent

7 0
2 years ago
In a survey of 200 people, 37% had a son, 31% had a daughter, and 23% had both a son and a daughter. What is the conditional pro
BaLLatris [955]
About 46 people because that is 23% of 200
5 0
1 year ago
Read 2 more answers
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