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3 years ago

In isoceles triangle the length of a leg is 17cm, and the base is 16cm. Find the length of the altitude to the base

Mathematics

1 answer:

Elan Coil [88]3 years ago

6 0

This triangle has base 16 therefore the sides must be 17cm and 17 cm

When we make a altitude it divides it into two right triangles and there is a property in which the altitude of the isoceles triangle divides the base in 2 equal halves

So the side of the right triangle will be x , 8 , 17

Using pythgoreus theorem

x²+8²=17²

x = √225

x = 15

So the altitude is 15 cm

Must click thanks and mark brainliest

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The cafeteria can serve 32 lunches in 5 minutes. How long will it take them to serve 57 lunches?

PolarNik [594]

Answer:

Around 364

Step-by-step explanation:

So to fund the answer, you need to find how much they can eat per minute: 32/5 = 6.4 (around 6 lunches)

Then you multiply this by 57: 57x6.4 = 364.8

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3 years ago

ValRented a bicycle while she was on vacation she-paid a flat rental fee of $55.00 plus $8.50 each day the total cost was $123 w

Butoxors [25]

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Step-by-step explanation:

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3 years ago

The step by step and final answer

Mumz [18]

32. (a) For an even function, f(x) = f(-x). Given f(5) = 3, we know f(-5) = 3.
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Therefore (-5, -3) is also on the graph.

33. f(-x) = -f(x). The function is odd.
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4 0

3 years ago

Question 4 options: Find the mean and standard deviation for a binomial distribution with 680 trials and a probability of succes

lys-0071 [83]

Answer:

Mean for a binomial distribution = 374

Standard deviation for a binomial distribution = 12.97

Step-by-step explanation:

We are given a binomial distribution with 680 trials and a probability of success of 0.55.

The above situation can be represented through Binomial distribution;

$P(X=r) = \binom{n}{r}p^{r} (1-p)^{n-r} ; x = 0,1,2,3,.....$

where, n = number of trials (samples) taken = 680 trials

r = number of success

p = probability of success which in our question is 0.55

So, it means X ~ $Binom(n=680, p=0.55)$

Now, we have to find the mean and standard deviation of the given binomial distribution.

Mean of Binomial Distribution is given by;

E(X) = n $\times$ p

So, E(X) = 680 $\times$ 0.55 = 374

Standard deviation of Binomial Distribution is given by;

S.D.(X) = $\sqrt{n \times p \times (1-p)}$

= $\sqrt{680 \times 0.55 \times (1-0.55)}$

= $\sqrt{680 \times 0.55 \times 0.45}$ = 12.97

Therefore, Mean and standard deviation for binomial distribution is 374 and 12.97 respectively.

3 0

3 years ago

The table of values represents a quadratic function. What is the average rate of change for f(x) from x = 0 to x = 10 ? Enter yo

Elena-2011 [213]

By definition we have that the average rate of change is given by:
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Rewriting we have:
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4 years ago