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2 years ago

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How to find the slant height of a square pyramid given only surface area and width x length? given surface area- 576 width- 16 l

ength- 16

1 answer:

Dafna1 [17]2 years ago

5 0

Answer:

width x length or surface area x length something like that

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A certain unsavory bar for poker-playing dogs is attended by only two types of dogs: "good dogs" and "bad dogs." For a randomly

SVETLANKA909090 [29]

Answer: The required probability is 0.1923.

Step-by-step explanation:

Since we have given that

Probability that it's a good dog = 0.4

Probability that it's a bad dog = 1-0.4 = 0.6

Probability that the dog smokes given that its a bad dog = 0.7

Probability that it smokes given that its a good dog = 0.25

According to question, probability of smoking pipe would be

P(good).P(Smoking pipe|good)+P(bad).P(smoking pipe|bad)

$0.4\times 0.25+0.6\times 0.7\\\\=0.1+0.42\\\\=0.52$

So, Probability of getting a good dog given that it is smoking pipe is given by

$\dfrac{P(good).P(smoking\ pipe|good)}{P(smoking\ pipe)}\\\\=\dfrac{0.4\times 0.25}{0.52}\\\\=\dfrac{0.1}{0.52}\\\\=0.1923$

Hence, the required probability is 0.1923.

3 0

3 years ago

Read 2 more answers

What is the absolute value of | 56-12 |?

muminat

Answer: 44! Hope this helps :D

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

What is the length of AC

meriva

Hi!
This is a fun one, as it delves into basic trigonometry.

We're going to use the Pythagorean theorem here, which says that for right triangles where "c" is the hypotenuse,

a² + b² = c²

We have to split this large triangle into two parts, both of which are right triangles. (This is why they drew a line in the middle to tell you that the larger triangle is composed of two right triangles.)

Let's do the one on the right first.

We know that the length of the hypotenuse is 10, and that the length of one of the legs is 6.5. If we plug this into our equation, we'll get the length of the other leg. I'm choosing "b" to be 6.5, but it really doesn't matter if you pick "a" or "b", so long as you reserve "c" for the hypotenuse (longest side).

a² + 6.5² = 10²
a² + 42.25 = 100
a² = 57.75
√a² = √57.75
a ≈ 7.6

Therefore, the length of DC is about 7.6.

Find the length of AD using the same method (7.5 is the hypotenuse "c", and 6.5 is one of the legs "a" or "b"). Then, once you have AD, add the lengths of AD and DC to get AC.

Have a great one!

7 0

2 years ago

Over which interval is the graph of f(x) = one-halfx2 + 5x + 6 increasing?

kaheart [24]

Answer:

$\large\boxed{x\in[-5,\ \infty)}$

Step-by-step explanation:

$f(x)=\dfrac{1}{2}x^2+5x+6\\\\\text{The coeficient of}\ x^2\ \text{is the positive number. Therefore the parabola is op}\text{en up}.\\\\\text{If a parabola op}\text{en up, then the graph increasing in interval}\ (h,\ \infty),\\\text{and decreasing in interval}\ (-\infty,\ h).\ \text{Where}\ h\ \text{is a first coordinate of a vertex.}\\\\\text{For}\ y=ax^2+bx+c,\ h=\dfrac{-b}{2a}.\\\\\text{We have}\ a=\dfrac{1}{2}\ \text{and}\ b=5.\ \text{Substitute:}\\\\h=\dfrac{-5}{2\left(\frac{1}{2}\right)}=-\cdot\dfrac{5}{1}=-5.$

8 0

3 years ago

Read 2 more answers

Two cyclists start at the same point and travel in opposite directions. One cyclist travels 4 km per hour faster than the other.

yaroslaw [1]

Answer:

the rate of the first cyclist: 28km/h

the rate of the 2nd cyclist 28+4= 32km/h

Step-by-step explanation:

x= the rate of the first cyclist

x+4= the rate of the 2nd cyclist

after 4 hours: + the first cyclist travels 4x (km)

+ the 2nd cyclist travels 4(x+4) (km)

because the two cyclists are 240 km apart after 4 hours

=> 4x + 4(x+4) = 240 => x= 28

i hope it's useful forr u =)))

5 0

3 years ago