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3 years ago

What is the area of the base in the figure below? A cylinder with height 12 and diameter 6.

Mathematics

1 answer:

Naya [18.7K]3 years ago

3 0

Answer:

About 28.27.

Step-by-step explanation:

To figure out the area of the base, you just use the formula to find the area of a circle. Which is;

A = r^2 * pi

(r stands for radius)

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The equation d=3t represents the relationship between the distance (d) in inches that a snail is from a certain rock and the tim

Maksim231197 [3]

Answer:

3 minutes

Step-by-step explanation:

d=3t is our formula.

d being the distance (9 inches for this problem)

t is the time in minutes

Substituting our known information would make our equation look like:

9 = 3t

to solve for t we divide both sides of the equation by 3

9/3 = 3t/3

3 = t

So if a snail travels 3 inches per minute, it will have traveled 9 inches in 3 minutes.

8 0

2 years ago

A box contains 24 transistors,4 of which are defective. If 4 are sold at random,find the following probabilities. i. Exactly 2 a

zavuch27 [327]

SOLUTION

This is a binomial probability. For i, we will apply the Binomial probability formula

i. Exactly 2 are defective

Using the formula, we have

$\begin{gathered} P_x=^nC_x\left(p^x\right?\left(q^{n-x}\right) \\ Where\text{ } \\ P_x=binomial\text{ probability} \\ x=number\text{ of times for a specific outcome with n trials =2} \\ p=\text{ probability of success = }\frac{4}{24}=\frac{1}{6} \\ q=probability\text{ of failure =1-}\frac{1}{6}=\frac{5}{6} \\ ^nC_x=\text{ number of combinations = }^4C_2 \\ n=\text{ number of trials = 4} \end{gathered}$

Note that I made the probability of being defective as the probability of success = p

and probability of none defective as probability of failure = q

Exactly 2 are defective becomes the binomial probability

$\begin{gathered} P_x=^4C_2\times\lparen\frac{1}{6})^2\times\lparen\frac{5}{6})^{4-2} \\ P_x=6\times\frac{1}{36}\times\frac{25}{36} \\ P_x=\frac{25}{216} \\ =0.1157 \end{gathered}$

Hence the answer is 0.1157

(ii) None is defective becomes

$\begin{gathered} \lparen\frac{5}{6})^4=\frac{625}{1296} \\ =0.4823 \end{gathered}$

hence the answer is 0.4823

(iii) All are defective

$\begin{gathered} \lparen\frac{1}{6})^4=\frac{1}{1296} \\ =0.00077 \end{gathered}$

(iv) At least one is defective

This is 1 - probability that none is defective

$\begin{gathered} 1-\lparen\frac{5}{6})^4 \\ =1-\frac{625}{1296} \\ =\frac{671}{1296} \\ =0.5177 \end{gathered}$

Hence the answer is 0.5177

3 0

9 months ago

Help me please, its due at night today!!!

postnew [5]

Answer:

Step-by-step explanation:

Area of polygon = area of square + area of triangle

Square:

Side = 12 cm

Area of square = side *side

= 12 * 12

= 144 sq.cm

Triangle:

base (b) = 12 cm

Height h = 19 cm

$Area =\frac{1}{2}bh\\\\=\frac{1}{2}*12*19\\$

= 6 * 19

= 114 sq.cm

Area of polygon = 144 + 114 = 258 square cm

4 0

3 years ago

3.which lines are parallel<br> 4. what wouldbyou use to prove these lines parallel

uysha [10]

3)the line G & H are parallel
4) Parallel line theorem is what I do believe it's called (do you have choices for this one?)

6 0

3 years ago

What is the length of the rectangle?

gregori [183]

Step-by-step explanation:

$area \: of \: rectangle \: = 60 \: {yards}^{2} \\ \therefore \: (w + 4) \times \: w = 60\\ \\ \therefore \: {w}^{2} + 4w -60 = 0 \\ \\ \therefore \: {w}^{2} + 10w - 6w -60 = 0 \\ \\ \therefore \: w({w} + 10) - 6(w + 10)= 0 \\ \\ \therefore \: ({w} + 10) (w- 6)= 0 \\ \therefore \: {w} + 10 = 0 \: or \: w- 6 = 0 \\ \therefore \: {w} = - 10 \: or \: w = 6 \\ \because \: sides \: of \: rectangle \: cant \: be \: negative \\ \therefore \: w \neq \: - 10 \\ \\ \therefore \: w = 6 \\ \\ \therefore \: w + 4 = 6 + 4 = 10 \\ \\ length \: of \: rectangle \: = 10 \: yards.$

4 0

2 years ago