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zysi [14]
4 years ago
8

Which statement is true about the determinant of a matrix?

Mathematics
1 answer:
coldgirl [10]4 years ago
4 0
The answer would be:The determinant of a singular matrix is equal to zero.
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If StartFraction pi Over 2 EndFraction less than t less than pi ​, which of the following is​ true?
oksian1 [2.3K]

Answer:

b. cosine t less than 0 and cotangent t greater than 0

Step-by-step explanation:

We have the following relation

\frac{\pi }{2} < t

if we apply the cosine function in the relation we get:

cos\frac{\pi }{2}

-1

the cosine of t is between 0 and -1 then (cosine t less than 0)

If we now apply cotangent function in the relation:

cotan\frac{\pi }{2}

0

This means that cotang is greater than 0, therefore the correct answer is b. cosine t less than 0 and cotangent t greater than 0

5 0
3 years ago
Mr. Noel borrowed money from his cousin at a rate of 10% simple interest. After 1 year, $440
Alborosie

Answer:

<h2>$400</h2>

Step-by-step explanation:

Using the formula for calculating the simple interest expressed as;

Simple Interest = Principal * rate * time/100

Note that the principal is the amount he originally borrowed

I = PRT/100 ............ 1

Amount paid off A = Principal+Interest

A = P+I ............ 2

From equation 2; I = A-P......... 3

Substitute equation 3 into 1;

A-P = PRT/100

Given A = $440, R = 10%, Time = 1year

Substitute the given parameters into the resulting equation;

440 - P = P*10*1/100

440-P = 10P/100

440-P = 0.1P

440 = 0.1P+P

440 = 1.1P

Divide through by 1.1;

1.1P/1.1 = 440/1.1

P = $400

<em>Hence the amount Mr Noel originally borrow is $400</em>

5 0
3 years ago
The hypotenuse of a right triangle measures 15 cm and one of its legs measures 4 cm.
Ann [662]

Answer:

14.5 cm

Step-by-step explanation:

Pythagorean theorem: a^2 + b^2 = c^2

c = hypotenuse (15)

to solve for b (other leg), the equation is  b^2 = c^2-a^2

15^2 - 4^2 = 209

\sqrt{209} = approx. 14.5

the other leg is (rounded to the nearest 10th) 14.5 cm

3 0
3 years ago
What do the interior angles of a parallelogram equal?
elena-s [515]
A parallelogram has 4 sides.

The formula to calculate the sum of interior angles of a polygon is 180 * (n-2) where n is the number of sides.

So, a parallelogram has 180 * (4-2) = 360 degrees of interior angles.
5 0
3 years ago
Jason received $25 dollars from his grandmother. Jason's sister received $5 dollars more than Jason. Write an equation.
KiRa [710]

Answer: J(25) + JS(5) = 30

Step-by-step explanation:

J = Jason

JS = Jason Sister.

7 0
3 years ago
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