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3 years ago

Can a triangle have more than one obtuse angle? Explain

2 answers:

8 0

No, the interior angles of a triangle always equal 180 degrees. The definition of an obtuse angle is one that is more than 90 degrees. One angle can be more than 90 but the other two have to be smaller than 90 to equal 180. There is no mathematical way to have to angles of more than 90 degrees and still have the interior equal 180 degrees.

Hope that helps.

Cerrena [4.2K]3 years ago

6 0

Yes it can. Because there are many ways you make a triangle.
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Select the correct answer.<br> A and АВ:<br><br> Which matrix is matrix B?

Kruka [31]

Answer:

Option B

Step-by-step explanation:

Looking at the options, option B is correct because when multiplying it by matrix A, it yields the matrix AB as follows;

First row of A multiplied by first column of matrix in option D;

(1 × -1) + (0 × 0) + (0 × 0) = -1 which corresponds to the first number on the first row of Matrix AB

Since majority of matrix AB are zero, I will just prove the ones that are not zero.

Thus;

Second row of matrix A is multiplied by second column of matrix in option D;

(0 × 0) + (-1 × -1) + (0 × 0) = 1 which is same as 2nd number on second row in matrix AB

Lastly, third row of matrix A is multiplied by third column of matrix in option D;

(0 × 0) + (0 × 0) + (1 × -1) = -1 which is same as third number in third row in matrix AB

5 0

2 years ago

Coffee café mix 90 pounds of coffee that cost six dollars per pound the types of coffee used to make this makes you cost seven d

Troyanec [42]

Answer:

y = 60

Step-by-step explanation:

From the information we get:

x quantity of 4 dollars coffee used in the mix

y quantity of 7 dollars coffee used in the mix

For the quantity of coffee to be sold a 7 $/pound ( 90 pounds)

Then 6*90 = 540 $

Therefore

x + y = 90 and

4*x + 7*y = 540

A two equations system we solve for x and y

y = 90 - x

4*x + 7* ( 90 - x ) = 540

4*x + 630 - 7*x = 540

- 3*x = - 90

x = 30 pounds and

y = 90 - 30

y = 60

We should use 60 pounds of the seven $ coffee

4 0

3 years ago

Zigmanuir [339]

Answer:

Ai. Arithmetic sequence

Aii. Tn = 5 + 7n

Bi. Geometric

Bii. Tn = 8 × 2ⁿ¯¹

Step-by-step explanation:

To successfully answer the questions given above, note the following:

1. If the sequence is Arithmetic, then:

2nd – 1st = 3rd – 2nd = common difference (d)

2. If the sequence is geometric, then,

2nd / 1st = 3rd / 2nd = common ratio (r)

3. A sequence can not be arithmetic geometric at the same time.

4. The nth term of arithmetic sequence is:

Tn = a + (n – 1)d

5. The nth term of geometric sequence is:

Tn = arⁿ¯¹

A. Sequence => 12, 19, 26

i. Determination of the type of sequence.

We'll begin by calculating the common difference

1st term = 12

2nd term = 19

3rd term = 26

Common difference (d) = 2nd – 1st

d = 19 – 12 = 7

d = 3rd – 2nd

d = 26 – 19 = 7

Since a common difference exist in the sequence, the sequence is arithmetic sequence.

ii. Determination of the nth term.

Common difference (d) = 7

1st term (a) = 12

nth term (Tn) =?

Tn = a + (n – 1)d

Tn = 12 + (n – 1)7

Tn = 12 + 7n – 7

Tn = 5 + 7n

B. Sequence => 8, 16, 32

Bi. Determination of the type of sequence.

Let us begin by calculating the common ratio.

1st term = 8

2nd term = 16

3rd term = 32

Common ratio (r) = 2nd / 1st

r = 16 / 8

r = 2

r = 3rd / 2nd

r = 32 / 16

r = 2

Since a common ratio exist in the sequence, the sequence is geometric.

Bii. Determination of the nth term.

Common ratio(r) = 2

1st term (a) = 8

nth term =?

Tn = arⁿ¯¹

Tn = 8 × 2ⁿ¯¹

8 0

2 years ago

Pls help with 15,16, and 17 Pls hurry whoever answers first will be mark the brainliest

GalinKa [24]

(15) 3 (16) -0.6 (17) -2

4 0

3 years ago

Read 2 more answers

If 5.90 × 1.8 = 10.62, what does 106.2 ÷ 59 equal?

alexira [117]

Answer:

1.8

Step-by-step explanation:

- hope this helps!!

8 0

3 years ago

Read 2 more answers