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Levart [38]
3 years ago
6

determine os valores de x e y sabendo que os numeros x,6 e 27 sao diramente proporcionais aos numeros 2, y e 18 nessa ordem

Mathematics
1 answer:
bazaltina [42]3 years ago
3 0

Answer:

x=3 e y=4

Step-by-step explanation:

x/2=6/y=27/18

...

x/2=27/18

18.x=2.(27)

18x=54

x=54/18

x= 3

...

6/y=27/18

27y=6.(18)

27y=108

y=108/27

y=4

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areas of four triangles are 40 cm^2, 90 cm^2, 202.5 cm^2 and 455.6 cm^2 are continue in sequence. the enlargement factor is 1.5,
maw [93]

Answer:

9th Triangle

Step-by-step explanation:

Given the area of four triangles:40 cm^2, 90 cm^2, 202.5 cm^2 \:and\: 455.6 cm^2

If the Scale factor is 1.5.

This is a geometric sequence and the common ratio is 1.5 X 1.5.

Therefore, the area of any n triangle can be determined using the function:

A(n)=40\cdot1.5^{2(n-1)}

We want to determine which triangle has an area greater than 15000cm^2.

When A(n)=15000

40\cdot1.5^{2(n-1)}>15000\\1.5^{2(n-1)}>\frac{15000}{40} \\1.5^{2(n-1)}>375\\\text{Change to Logarithm form}\\2(n-1)>Log_{1.5}375\\\text{Applying logarithm change of base to base 10 law}\\2(n-1)>\frac{Log 375}{Log 1.5} \\2n-2>14.62\\2n>14.62+2=16.62\\n>8.31

Therefore, the 9th triangle has an area greater than 15000cm^2.

5 0
3 years ago
Vertices A and B of triangle ABC are on one bank of a river, and vertex C is on the opposite bank. The distance between A and B
Anna71 [15]

Answer:

The length of side b is 179 ft

Step-by-step explanation:

Given triangle ABC in which  

∠A = 33°, ∠B = 63°, c=200

we have to find the length of b

In ΔABC, by angle sum property of triangle

∠A+∠B+∠C=180°

33°+63°+∠C=180°

∠C=180°-33°-63°=84°

By sine law,

\frac{\sin \angle A}{a}=\frac{\sin \angle B}{b}=\frac{\sin \angle C}{c}

\frac{\sin \angle B}{b}=\frac{\sin \angle C}{c}

\frac{\sin 63^{\circ}}{b}=\frac{\sin 84^{\circ}}{200}

b=200\times \frac{\sin 63^{\circ}}{\sin 84^{\circ}}=179.182887\sim 179 ft

The length of side b is 179 ft

Option C is correct.

7 0
2 years ago
A company produces packets of soap powder labeled "Giant Size 32 Ounces." The actual weight of soap powder in such a box has a N
Stolb23 [73]

Answer:

0.0764

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 33, \sigma = 0.7

What proportion of boxes is underweight (i.e., weigh less than 32 oz)?

This is the pvalue of Z when X = 32. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{32 - 33}{0.7}

Z = -1.43

Z = -1.43 has a pvalue of 0.0764, which is the correct answr

6 0
3 years ago
A number reckoned on the basis of a whole divided into 100 parts is known as a
VladimirAG [237]

The answer for the question is: Percentage.

The explanation for this answer is shown below:

By definition, a percentage is a number that is computed on the basis of a whole divided into one hundred parts. Therefore, based on this definition, you can write a percent as percentage (with the symbol %), as a fraction (with a numerator and a denominator) and you can also express it as a decimal, as following:

20%=\frac{1}{5}=0.2

8 0
2 years ago
Which expression is equivalent to 5 to the power3
11111nata11111 [884]

Answer:

What are the given expressions??

Step-by-step explanation:

Since I can't see you're options, I'll just give you an answer that'll hopefully help...

5³ = 125

Hope that helps you!!  :)

4 0
3 years ago
Read 2 more answers
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