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3 years ago

Determine which of the following formulas hold for all invertible n×n matrices A and B.

Mathematics

1 answer:

garik1379 [7]3 years ago

4 0

Answer:

1 hold

2 hold

3 does not hold

4 hold

5 hold

6 hold

7 does not hold

8 does not hold

9 Does not hold

10 Hold

Step-by-step explanation:

The detailed step by step verification is as shown in the attachment

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2% of 0.00003 equals?

kakasveta [241]

Answer:

6e-7? i used a percentage calculator and this is what it gave me so im not entirely sure

Step-by-step explanation:

3 0

3 years ago

14 pints of chocolate ice cream, 8 pints of vanilla bean ice cream, and 12 pints of strawberry swirl ice cream. Find the ratio o

gogolik [260]

6 pints: 17 pints
It means that there is 6 pints of strawberry ice cream in every 17 pints of ice cream total

7 0

3 years ago

Find f(-2) for the function f(x) = 3r2 - 2x +7. 0-13 O-1 O 1 O 23

viva [34]

Step-by-step explanation:

f(x) = 3x² - 2x + 7

f(-2) = 3(-2)² -2(-2) + 7

= 3(4) + 4 + 7

= 23

8 0

3 years ago

baherus [9]

Answer: see proof below

Step-by-step explanation:

Given: cos 330 = $\frac{\sqrt3}{2}$

Use the Double-Angle Identity: cos 2A = 2 cos² A - 1

$\text{Scratchwork:}\quad \bigg(\dfrac{\sqrt3 + 2}{2\sqrt2}\bigg)^2 = \dfrac{2\sqrt3 + 4}{8}$

Proof LHS → RHS:

LHS cos 165

Double-Angle: cos (2 · 165) = 2 cos² 165 - 1

⇒ cos 330 = 2 cos² 165 - 1

⇒ 2 cos² 165 = cos 330 + 1

Given: $2 \cos^2 165 = \dfrac{\sqrt3}{2} + 1$

$\rightarrow 2 \cos^2 165 = \dfrac{\sqrt3}{2} + \dfrac{2}{2}$

Divide by 2: $\cos^2 165 = \dfrac{\sqrt3+2}{4}$

$\rightarrow \cos^2 165 = \bigg(\dfrac{2}{2}\bigg)\dfrac{\sqrt3+2}{4}$

$\rightarrow \cos^2 165 = \dfrac{2\sqrt3+4}{8}$

Square root: $\sqrt{\cos^2 165} = \sqrt{\dfrac{4+2\sqrt3}{8}}$

Scratchwork: $\cos^2 165 = \bigg(\dfrac{\sqrt3+1}{2\sqrt2}\bigg)^2$

$\rightarrow \cos 165 = \pm \dfrac{\sqrt3+1}{2\sqrt2}$

Since cos 165 is in the 2nd Quadrant, the sign is NEGATIVE

$\rightarrow \cos 165 = - \dfrac{\sqrt3+1}{2\sqrt2}$

LHS = RHS $\checkmark$

4 0

3 years ago

Match the set of two interior angle measurements with the third interior angle measurement that can make a triangle.

ioda

Answer:

$40^\circ,50^\circ$ and 90^\circ$

$42^\circ,66^\circ$ and 72^\circ$

$60^\circ,60^\circ$ and 60^\circ$

Step-by-step explanation:

The sum of angles in a triangle is 180 degrees

(a)Given the angles 40° and 50°

The third angle is, therefore: $180^\circ-(40^\circ+50^\circ)=90^\circ$

We, therefore, have the set: $40^\circ,50^\circ$ and 90^\circ$

(b)Given the angles 42° and 66°

The third angle is, therefore: $180^\circ-(42^\circ+66^\circ)=72^\circ$

We, therefore, have the set: $42^\circ,66^\circ$ and 72^\circ$

(c)Given the angles 60° and 60°

The third angle is, therefore: $180^\circ-(60^\circ+60^\circ)=60^\circ$

We, therefore, have the set: $60^\circ,60^\circ$ and 60^\circ$

6 0

2 years ago