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koban [17]
2 years ago
11

Tia cut a 4- meter 8-centimeter wire into 10 equal pieces. marta cut a 540-centimeter wire into 9 equal pieces. how much longer

is one of marta's wires then one of tia's
Mathematics
1 answer:
EleoNora [17]2 years ago
4 0
If you would like to know how much longer is one of Marta's wires than one of Tia's, you can calculate this using the following steps:

Tia: 4-meter 8-centimeter = 408 centimeters
408 centimeters / 10 equal pieces = 40.8 centimeters per piece

Marta: 540 centimeters / 9 equal pieces = 60 centimeters per piece

60 - 40.8 = 19.2 centimeters

The correct result would be 19.2 centimeters longer pieces.
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How many distinct triangles can be formed for which m∠A = 75°, a = 2, and b = 3?
Phantasy [73]
We are given
m∠A = 75 deg
a = 2
b = 3

Apply the Law of Sines.
sin(B)/b = sin(A)/a
sin(B)/3 = sin(75)/2
sin(B) = (3*sin(75))/2 = 1.45

The value of the sin function cannot exceed 1.
This means that the triangle cannot exist.

Answer: No distinct triangles
8 0
2 years ago
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Three children each had the same amount of money withdrew from their savings accounts. One of the children withdrew a quarter of
aivan3 [116]

Answer:

Each Children had \$ 100 in their accounts.

Step-by-step explanation:

Given:

Three children each had the same amount of money withdrew from their savings accounts.

One of the children withdrew a quarter of his money and spent it all on a $25 T-shirt

Solution:

Let the total money in the account be x

One of the children withdrew a quarter of his money= \frac{1}{4} \times x= \$25

x=$25\times4= $100

∴ Each Children had \$ 100 in their accounts.

8 0
2 years ago
On average, indoor cats live to 16 years old with a standard deviation of 2.5 years. Suppose that the distribution is normal. Le
Y_Kistochka [10]

Answer:

(a) N (16, 2.5²)

(b) 0.241

(c) Low: 15.4 years

    High: 16.6 years

Step-by-step explanation:

The random variable <em>X</em> is defined as the age at death of a randomly selected indoor cat.

(a)

The distribution of X is:

X\sim N(\mu = 16, \sigma^{2}=2.5^{2})

(b)

Compute the probability that an indoor cat dies when it is between 17.2 and 19.6 years old as follows:

P(17.2

                            =P(0.48

Thus, the probability that an indoor cat dies when it is between 17.2 and 19.6 years old is 0.241.

(c)

Compute the two numbers within which 20% of indoor cats' age of death lies as follows:

P(x_{1}

The corresponding value of <em>z</em> is, 0.25.

Compute the value of <em>x</em>₁ and <em>x</em>₂ as follows:

z=\frac{x_{1}-\mu}{\sigma}\\\\0.25=\frac{x_{1}-16}{2.5}\\\\x_{1}=16+(0.25\times 2.5}\\\\x_{1}=16.625\\\\x_{1}\approx 16.6                z=\frac{x_{1}-\mu}{\sigma}\\\\-0.25=\frac{x_{2}-16}{2.5}\\\\x_{2}=16-(0.25\times 2.5}\\\\x_{2}=15.375\\\\x_{2}\approx 15.4

Low: <u>15.4</u> years

High: <u>16.6</u> years

8 0
2 years ago
Mickey is 40 years old and has his retirement savings in a 401(k). If he makes $55,000 annually, what is the maximum percentage
alexdok [17]
The answer will be 30%
7 0
2 years ago
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Alenkinab [10]

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D. The range stays the same but the domain changes

Step-by-step explanation:

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8 0
1 year ago
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