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Kobotan [32]
3 years ago
5

(04.04)Marcus spent 10 hours doing his homework last week. This week he spent 11 hours doing homework. He says that he spent 110

% more time doing homework this week. Is he correct? Show your work to justify your decision.
Mathematics
1 answer:
IRINA_888 [86]3 years ago
4 0
I think the answer is no
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Answer this question ASAP
sergey [27]

Answer:

35.0 cm (to 3 significant figures)

Step-by-step explanation:

Circumference of a circle = 2d (where d is the diameter).

Since the rectangle is inscribed in the circle (all 4 vertex touch, but not intersect, the circumference of the circle), we can see that the diameter of the circle is in fact the diagonal of the rectangle.

Therefore, to calculate the circumference we need to find the diagonal of the rectangle and plug it into the above formula.

To find the diagonal, we use Pythagoras' Theorem a² + b² = c²  (where a and b are the legs, and c is the hypotenuse of a right angled triangle).

From inspection, the diagram has given us the lengths of the legs as 9cm and 15cm.  So:  

 9² + 15² = c²

81 + 225 = c²

      306 = c²

             c = √306 = 3√34

Therefore, the diameter of the circle = 3√34 cm

Circumference = 2d

                         = 2 x 3√34

                         = 6√34

                         = 35.0 cm (to 3 significant figures)

4 0
2 years ago
Find the percent of decrease from 340 to 260. Round to the nearest tenth of a percent if necessary.
Marina CMI [18]

To get the solution, we are looking for, we need to point out what we know.


1. We assume, that the number 340 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 100% equals 340, so we can write it down as 100%=340.

4. We know, that x% equals 260 of the output value, so we can write it down as x%=260.

5. Now we have two simple equations:

1) 100%=340

2) x%=260

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

100%/x%=340/260

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.


7. Solution for 260 is what percent of 340


100%/x%=340/260

(100/x)*x=(340/260)*x - we multiply both sides of the equation by x

100=1.30769230769*x - we divide both sides of the equation by (1.30769230769) to get x

100/1.30769230769=x

76.4705882353=x

x=76.4705882353


now we have:

260 is 76.4705882353% of 340

8 0
2 years ago
Read 2 more answers
Factor the expression below
Jobisdone [24]
I think the answer is the first one
7 0
3 years ago
PLS HELP ASAP
slega [8]

Answer:

rn or later?

Step-by-step explanation:

6 0
2 years ago
What is the value of x for this question?
cestrela7 [59]

Answer:

Step-by-step explanation:

3x + 3

6 + 2x

3x + 2x = 5x

3 + 6 = 9

5x + 9

4 0
2 years ago
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