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3 years ago

Vocabulary Review

Mathematics

1 answer:

lisabon 2012 [21]3 years ago

5 0

Answer:

Step-by-step explanation:

Animals that have three stages in their life cycles go through

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The conversion rate for 135 Mexican pesos is 7 1/2 American dollars enter the amount of pesos you would get with 50 American dol

svet-max [94.6K]

Answer:

900

Step-by-step explanation:

135/7.5= x/50

cross multiply

7.5x=6750

x=900

4 0

3 years ago

Read 2 more answers

A piece of wire of length 7070 is cut, and the resulting two pieces are formed to make a circle and a square. Where should the

lyudmila [28]

Answer:

a.x=39.2

b.Use whole wire as a circle

Step-by-step explanation:

We are given that

Length of piece of wire=70 units

Let length of wire used to make a square =x units

Length of wire used in circle=70- x

Side of square= $\frac{perimeter\;of\;square}{4}=\frac{x}{4}$

Circumference of circle= $2\pi r$

$70-x=2\pi r$

$r=\frac{70-x}{2\pi}$

Combined area of circle and square,A= $(\frac{x}{4})^2+\pi(\frac{70-x}{2\pi})^2$

Using the formula

Area of circle= $\pi r^2$

Area of square= $(side)^2$

a. $A=\frac{x^2}{16}+\frac{4900+x^2-140x}{4\pi}$

Differentiate w.r.t x

$\frac{dA}{dx}=\frac{x}{8}+\frac{2x-140}{4\pi}$

$\frac{dA}{dx}=0$

$\frac{x}{8}+\frac{2x-140}{4\pi}=0$

$\frac{\pi x+4x-280}{4\pi}=0$

$\pi x+4x-280=0$

$x(\pi+4)=280$

$x=\frac{280}{\pi+4}$

x=39.2

Again differentiate w.r.t x

$\frac{d^2A}{dx^2}=\frac{1}{8}+\frac{1}{2\pi}$ >0

Hence, the combined area of circle and the square is minimum at x=39.2

b.When the wire is not cut and whole wire used as a circle . Then, combined area is maximum.

3 0

3 years ago

Please answer ASAP!!

belka [17]

Answer:

3. It is likely.

Step-by-step explanation:

Let's assume the dartboards circles have radius of r, 2r, 3r and 4r from inner side

<u>Then the areas covered will be as:</u>

point 20 = πr² = S
point 15 = π(2r)² - πr² = 3πr² = 3S
point 1 0 = π(3r)² - π(2r)² = 5πr² = 5S
point 5 = π(4r)² - π(3r)² = 7πr² = 7S

Total area of the dartboard is S+3S+5S+7S = 16S

The area of point 5 is 7S. And the area of non- 5 point is 16S - 7S = 9S

The probability of scoring at least 10 points is:

9S/16S = 0.5625

As it is between 1/2 and 1, the probability is in 'likely' region

<u>So the correct answer choice is:</u> 3. It is likely

4 0

3 years ago

The number that is 10 less than 6

almond37 [142]

The number (x) that is (=) 10 less than (-) 6

x = 6 - 10 Subtract
x = -4

6 0

3 years ago

elect the best answer for the question. 16. Which answer choice contains all the factors of 10? A. 1, 2, 5 B. 2, 5 C. 1, 2, 5, 1

ruslelena [56]

The coorect answer is C. 1, 2, 5, 10

8 0

3 years ago