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3 years ago

Suppose that V is finite dimensional and T L(V,V). Prove that T is a scalar multiple ofthe

Mathematics

1 answer:

salantis [7]3 years ago

5 0

Answer:

Please see attachment

Step-by-step explanation:

Please see attachment

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Carmita bought 20 pizzas for a party, An hour after the party started, 2/7 of the pizzas had been eaten. How many pizzas had bee

lora16 [44]

Answer: 5 5/7

Step-by-step explanation:

Number of pizza bought = 20

Fraction of pizza ate = 2/7

Therefore, the number of pizzas that have been eaten will be:

= Fraction of pizza eaten × Number of pizza bought

= 2/7 × 20

= 40/7

= 5 5/7

Therefore, 5 5/7 pizza have been eaten

4 0

3 years ago

The area of a circle is 43.25cm2.<br> Find the length of the radius rounded to 2 DP.

Monica [59]

Answer:

3.71 cm

Step-by-step explanation:

Hi there!

Area of a circle equation: $A=\pi r^2$ where r is the radius

Plug in the area 43.25 cm²

$43.25=\pi r^2$

Divide both sides by π to isolate r²

$\frac{43.25}{\pi} =\frac{\pi r^2}{\pi} \\\frac{43.25}{\pi}=r^2$

Take the square root of both sides to isolate r

$\sqrt{\frac{43.25}{\pi}} =r\\3.71=r$

Therefore, the length of the radius rounded to 2 decimal points is 3.71 cm.

I hope this helps!

8 0

3 years ago

If (x, y) is a solution to the system of equations, what is the value of y? 1/4 x + 1/8 y = 2 1/3 x + 1/2 y = 4 A) 4 B) 6 C) -6

andre [41]

<h3>The value of y is 4</h3>

<em><u>Solution:</u></em>

<em><u>Given system of equations are:</u></em>

$\frac{1}{4}x + \frac{1}{8}y =2 ---------- eqn\ 1\\\\\frac{1}{3}x + \frac{1}{2}y = 4 -------------- eqn\ 2$

We have to find value of y

From eqn 1,

$\frac{1}{4}x + \frac{1}{8}y =2 \\\\2x + y = 2 \times 8\\\\2x + y = 16 ---- eqn\ 3$

From eqn 2,

$\frac{1}{3}x + \frac{1}{2}y = 4\\\\2x + 3y = 4 \times 6\\\\2x + 3y = 24 ------ eqn\ 4$

Subtract eqn 3 from eqn 4

2x + 3y = 24

2x + y = 16

( - ) -----------------

2y = 8

y = 4

Thus value of y is 4

5 0

3 years ago

Question 5 points)

Ratling [72]

triangles are not similar

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3 years ago

Please answer and answer

JulijaS [17]

Answer:

Is the C

Step-by-step explanation:

6 0

3 years ago