All categories

3 years ago

The distance dd is 11 mm. What is the perimeter of the figure? Round to the nearest tenth.

Mathematics

1 answer:

Kisachek [45]3 years ago

3 0

Answer:

P = 157.1 mm

Step-by-step explanation:

The perimeter of the figure = Circumference of circle + perimeter of square

We have, d = 11

⇒ Radius = 11 mm

Side of square = 22 cm

So,

$P=2\pi \times 11+4\times 22\\\\P=157.11\ mm\\\\or\\\\P=157.1\ mm$

So, the perimeter of the figure is equal to 157.1 mm.

You might be interested in

Nathena needs to buy a fence to put around her rectangular yard for her dog. Nathena forgot the width of his yard, but knows the

BabaBlast [244]

Answer:

The real answer is 6

Step-by-step explanation:

Fairly simple. You know the length and the area, but you don't know the width. So your equation looks like this: 30 x ? = 180. But to figure out the width, you change the position of the numbers in the equation like this:

180 ÷ 30 = ?. Then you solve. 180 ÷ 30 = 6. If you want to double check your answer, you can plug in your answer to your original equation, 30 x 6 = 180.

Hope this helps!

7 0

3 years ago

Read 2 more answers

A machine making computer chips isn't working correctly, and 5% of the computer chips it makes are defective. If an inspector ch

Rainbow [258]

Answer:

0.25% probability that they are both defective

Step-by-step explanation:

For each computer chip, there are only two possible outcomes. Either they are defective, or they are not. The probability of a computer chip being defective is independent of other chips. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

5% of the computer chips it makes are defective.

This means that $p = 0.05$

If an inspector chooses two computer chips randomly (meaning they are independent from each other), what is the probability that they are both defective?

This is P(X = 2) when n = 2. So

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 2) = C_{2,2}.(0.05)^{2}.(0.95)^{0} = 0.0025$

0.25% probability that they are both defective

4 0

3 years ago

Solve the following quadratic equation using the quadratic formula.

sdas [7]

$ax^2+bx+c=0\\\\\Delta=b^2-4ac\\\\x_1=\dfrac{-b-\sqrt\Delta}{2a};\ x_2=\dfrac{-b+\sqrt\Delta}{2a}$

<span> $5x^2-8x+5=0\to a=5;\ b=-8;\ c=5\\\\\Delta=(-8)^2-4\cdot5\cdot5=64-100=-36\\\\\sqrt\Delta=\sqrt{-36}=6i$

$x_1=\dfrac{-(-8)-6i}{2\cdot5}=\dfrac{8-6i}{10}=\dfrac{4-3i}{5}\\\\x_2=\dfrac{-(-8)+6i}{2\cdot5}=\dfrac{8+6i}{10}=\dfrac{4+3i}{5}$
</span>

6 0

4 years ago

Read 2 more answers

How many minutes are there in a day?

RoseWind [281]

1440

because yea

hehehehehehehehehee

5 0

3 years ago

Read 2 more answers

12. Sean lives 2.25 miles<br> from school. Write this<br> distance as a fraction in simplest form.

mars1129 [50]

It would be 2 1/4 because .25 in fraction form is 1/4 because it is a quarter and then 2

4 0

3 years ago