MATHEMATICS HIGH SCHOOL

Please answer it in two minutes

Answers

Answer 1

Answer:

60°

Step-by-step explanation:

Data obtained from the question include the following:

Angle H =.?

Opposite = 2√21

Adjacent = 2√7

The value of angle H can be obtained as follow

Tan H = Opposite /Adjacent

Tan H = 2√21 / 2√7

Tan H = √(21 / 7)

Tan H = √3

Tak the inverse of Tan.

H = Tan¯¹ √3

H = 60

Therefore, the value of angle H is 60°

Related Questions

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Solve the system of equations using substitution.y = 4x + 6y = 2xa. (6, 3)b. (-3, -6)c. (3, 6)d. (1, 2)
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Suppose A is n x n matrix and the equation Ax = 0 has only the trivial solution. Explain why A has n pivot columns and A is row equivalent to In. By Theorem 7, this shows that A must be Invertible.)Theorem 7: An n x n matrix A is invertible if and only if A is row equivalent to In, and in this case, any sequence of elementary row operations that reduces A to In also transfrms In into A-1.

Answers

Answer:

Remember, a homogeneous system always is consistent. Then we can reason with the rank of the matrix.

If the system Ax=0 has only the trivial solution that's mean that the echelon form of A hasn't free variables, therefore each column of the matrix has a pivot.

Since each column has a pivot then we can form the reduced echelon form of the A, and leave each pivot as 1 and the others components of the column will be zero. This means that the reduced echelon form of A is the identity matrix and so on A is row equivalent to identity matrix.

Simplify the following expression. 7- 5/8 x 7 -7/8 A. 1/14
B. 14
C. 1/49
D. 49

Answers

Answer:

Step-by-step explanation:

$7 - (5)/(8) * 7 - (7)/(8)$

$7 - (35)/(8) - (7)/(8)$

multiple through by 8

56 - 35 - 7 =14

A spinner has five sections, labeled A, B, C, D, and E. The spinner is spun 84 times, and the results are recorded in the table.What is the experimental probability of the spinner’s landing on A? Round to the nearest percent, if necessary.

Outcome A B C D E
Number of trials 14 20 18 15 17

A.22%

B.20%

C.17%

D.14%.

Answers

The experimental probability is C. 17%.

17% is derived from the following solution.

14/84 = 0.1666
0.1666 * 100% = 16.66% or 17%

This is based on the result of the experiment conducted.

The theoretical probability of A is 20%.

1/5 = 0.20
0.20 x 100% = 20%

A is only one event out of 5 letters.

Answer:

C.17 percent

Step-by-step explanation:

The factorization of x2 + 3x – 4 is modeled with algebra tiles.What are the factors of x2 + 3x – 4?
(x + 4) and (x – 4)
(x + 3) and (x – 4)
(x + 4) and (x – 1)
(x + 3) and (x – 1)

Answers

The quadratic trinomial can be factor using the following formula:

$ax^2+bx+c=a(x-x_1)(x-x_2), \text{ where } x_1,\ x_2 \text{ are trinomial roots}$ .

1. For the quadratic trinomial $x^2 + 3x - 4$ find the roots:

2. The factoring form of trinomial is

$x^2+3x-4=(x+4)(x-1)$ .

3. The factors are x+4 and x-1

Answer: correct choice is C.

x² + 3x - 4

factors of x² are x * x
factors of -4 that will result to a +3

4 * -1 = -4
4 - 1 = 3

(x + 4) and (x - 1)

x(x-1) + 4(x-1)
x² - x +4x - 4
x² + 3x - 4

Determine the values of x at which each of the functions defined by the following formulas is continuous: (a) x / (x2+1) (b) (x8−3x2+1) / (x2+2x−2) (c) (1/√x) + [x7 / (x+2)3/2?