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3 years ago

13

( BRAINLIEST AND THANKS )

1 answer:

Hatshy [7]3 years ago

3 0

Hexagon 6 sided shape angle sum 720
Nonagon 9 sided shape angle sum 1260
Octagon 8 sided shape angle sum 1080
Pentagon 5 sided shape angle sum 540
Heptagon 7 sided shape angle sum 900

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What is 1 5/8 in decimal form?

Law Incorporation [45]

The answer is 1.625

6 0

3 years ago

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Suppose you have 60 red marbles and 40 blue marbles in a

andrew-mc [135]

Answer: The required probability is 0.26.

Step-by-step explanation: Given that there are 60 red marbles and 40 blue marbles in a box 10 marbles are picked without replacement.

We are to find the probability of selecting 6 red marbles.

Since the marbles are picked up without replacement, so it is a situation of combination.

Let S denote the sample space of the experiment of drawing 10 marbles and E denote the event that 6 marbles are red.

So,

$n(S)=^{100}C_{10}=\dfrac{100!}{10!(100-10)!}=\dfrac{100!}{10!90!}=17310309456440,\\\\\\n(E)=^{60}C_6\times^{40}C_4=\dfrac{60!}{6!54!}\times\dfrac{40!}{4!36!}=50063860\times91390.$

Therefore, the probability of event E is given by

$P(E)=\dfrac{n(E)}{n(S)}=\dfrac{50063860\times91390}{17310309456440}=0.26.$

Thus, the required probability is 0.26.

6 0

3 years ago

Find the answer 10 + (45 x 2)

levacccp [35]

Answer:

100

Step-by-step explanation:

10 + 45*2

10 + 90

100

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3 years ago

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The function g(x) = p sin x +q, where p>0, has a maximum value of 10 and a minimum value of -4. Find the value of p and of q.

tester [92]

Answer: $p=7, q=3$

Step-by-step explanation:

The midline of the function is

$\frac{10-4}{2}=3 \implies q=3$

This means that to obtain a maximum of 10, when $\sin x$ reaches it's maximum, 1, $g(x)=p+q=10 \implies p=7$

7 0

2 years ago

What is the reflection image of P(0, 0) after two reflections, first across x = 4 and then across y = -3?

jek_recluse [69]

Answer:

The reflection image of P(0, 0) after two reflections is (8,-6)

Step-by-step explanation:

step 1

Find the coordinates of point P after reflection across x=4

we know that

The distance from point P to the line x=4 is equal to 4 units

so

(0,0) -----> (4+4,0) ----> (8,0)

The reflection image of P is (8,0)

step 2

Find the coordinates of point (8,0) after reflection across y=-3

The distance from point (8,0) to the line y=-3 is equal to 3 units

so

(8,0) -----> (8,-3-3) ----> (8,-6)

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4 years ago