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LuckyWell [14K]
3 years ago
11

El Pirata Barba Plata ha llegado a la isla del Coral para buscar un tesoro. En el mapa pone que, desde la orilla, debe recorrer

37 hm a la pata coja hacia el centro de la isla, y después otros 85 dam dando volteretas en la misma dirección. ¿Cuántos metros recorrerá en total desde la orilla hasta el tesoro? Expresa el resultado también en kilómetros.
Mathematics
1 answer:
Artemon [7]3 years ago
6 0

Answer:

4550m ; 4

Step-by-step explanation:

Recall

1 hectometre = 100m

1 decameter = 10m

Distance from shore to center of island = 37hm

Another 85 decameter toward stge se direction

Therefore total metres it will travel in other to get to the treasure :

37 hectometre + 85 decameter

(37 * 100)m + (85 * 10)m

3700m + 850m = 4550m

In kilometers :

1000 meters = 1 kilometers

4550 meters =

(4550 / 1000)meters

= 4.55km

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The advertising department of a nationally circulated magazine wishes to estimate the mean age of its subscribers within 0.5 yea
zhenek [66]

Answer: Option 'd' is correct.

Step-by-step explanation:

Since we have given that

Margin of error = 0.5 years

Standard deviation = 5

At 90% confidence, z = 1.645

We need to find the minimum size of the sample they must take.

So,

n=(\dfrac{z\sigma}{E})^2\\\\n=(\dfrac{1.645\times 5}{0.5})^2\\\\n=270.6\\\\n\approx 271

Hence, Option 'd' is correct.

5 0
3 years ago
Factors and common factors of 24,64,88
babunello [35]
24- 1,2,3,4,6,8,12,24
64-1,2,4,8,16,32,64
88-1,2,4,8,11,22,44,88

Here are all the factors.^^
The common factors are 1,2,3,4,6
Hope this helps!
8 0
3 years ago
What are the missing angle measures in triangle ABC?
Finger [1]

we know that

In the right triangle ABC

∠A+∠B=90 ------> by complementary angles

so

Step 1

Find the measure of angle B

we know that

tan\  B=\frac{opposite\  side\  angle\  B}{adjacent\  side\  angle\  B}

in this problem

opposite\  side\  angle\  B=7in\\ adjacent\  side\  angle\  B=5in

so

tan\  B=\frac{7}{5} \\ \\ B=arc\ tan\frac{7}{5} \\ \\ B=54.5\ degrees

Step 2

Find the measure of angle A

A+B=90\\ A=90-B\\ A=90-54.5\\ A=35.5\ degrees

therefore

the answer is the option

35.5° and 54.5°




5 0
3 years ago
Read 2 more answers
Can I please have help?
jok3333 [9.3K]

Answer:

(-3, 3) and (8, -8)

Step-by-step explanation:

having the rule (x + 3, y – 5) and an input point (x,y) you just plu th iput point into the rule and you will get the output point.

With an input point (-6,8) you plug -6 in for x and 8 in for y into the rule.  

(x + 3, y – 5)

(-6 + 3, 8 - 5)

(-3, 3)

Now we do the same for (5, -3) as the input

(x + 3, y – 5)

(5 + 3, -3 - 5)

(8, -8)

4 0
3 years ago
What is the volume of a hemisphere that
ch4aika [34]

<u>Given</u>:

Given that the diameter of the hemisphere is 12.6 cm

The radius of the hemisphere is given by

r=\frac{d}{2}=\frac{12.6}{2}=6.3

We need to determine the volume of the hemisphere.

<u>Volume of the hemisphere:</u>

Let us determine the volume of the hemisphere.

The volume of the hemisphere can be determined using the formula,

V=\frac{2}{3} \pi r^3

Substituting the values, r = 6.3 and π = 3.14, we have;

V=\frac{2}{3} (3.14)(6.3)^3

Simplifying the values, we have;

V=\frac{2}{3} (3.14)(250.047)

V=\frac{1570.29516}{3}

Dividing, we have;

V=523.43172

Rounding off to the nearest tenth, we get;

V=523.4

Thus, the volume of the hemisphere is 523.5 cm³

6 0
3 years ago
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