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3 years ago

Which triangles are similar? A. 12 6 B. 8 16 C. 8 4 D. 3 6

Mathematics

2 answers:

pav-90 [236]3 years ago

8 0

Answer:

Step-by-step explanation:

Harrizon [31]3 years ago

6 0

Answer:

Sides: a = 12 b = 12 c = 6

Area: T = 34.857

Perimeter: p = 30

Semiperimeter: s = 15

Angle ∠ A = α = 75.522° = 75°31'21″ = 1.318 rad

Angle ∠ B = β = 75.522° = 75°31'21″ = 1.318 rad

Angle ∠ C = γ = 28.955° = 28°57'18″ = 0.505 rad

Height: ha = 5.809

Height: hb = 5.809

Height: hc = 11.619

Median: ma = 7.348

Median: mb = 7.348

Median: mc = 11.619

Inradius: r = 2.324

Circumradius: R = 6.197

Vertex coordinates: A[6; 0] B[0; 0] C[3; 11.619]

Centroid: CG[3; 3.873]

Coordinates of the circumscribed circle: U[3; 5.422]

Coordinates of the inscribed circle: I[3; 2.324]

Exterior (or external, outer) angles of the triangle:

∠ A' = α' = 104.478° = 104°28'39″ = 1.318 rad

∠ B' = β' = 104.478° = 104°28'39″ = 1.318 rad

∠ C' = γ' = 151.045° = 151°2'42″ = 0.505 rad

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Big babies: The National Health Statistics Reports described a study in which a sample of 354 one-year-old baby boys were weighe

Vedmedyk [2.9K]

Answer:

Yes. The data provide enough evidence to support the claim that the mean weight of one-year-old boys is greater than 25 pounds.

P-value=P(t>2.84)=0.0024

Step-by-step explanation:

Hypothesis test on the population mean.

The claim is that the mean weight of one-year-old boys is greater than 25 pounds.

Then, the null and alternative hypothesis are:

$H_0: \mu=25\\\\H_a:\mu>25$

The significance level is α=0.05.

The sample size is n=354. The sample mean is 25.8 pounds and the sample standard deviation is 5.3 pounds. As the population standard deviation is estimated from the sample standard deviation, we will use a t-statistic.

The degrees of freedom are:

$df=n-1=354-1=353$

The t-statistic is:

$t=\dfrac{\bar x-\mu}{s/\sqrt{n}}=\dfrac{25.8-25}{5.3/\sqrt{354}}=\dfrac{0.8}{0.2817}=2.84$

For a right tailed test and 353 degrees of freedom, the P-value is:

$P-value=P(t>2.84)=0.0024$

As the P-value is smaller than the significance level, the effect is significant and the null hypothesis is rejected.

There is enough evidence to support the claim that the mean weight of one-year-old boys is greater than 25 pounds.

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3 years ago

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zvonat [6]

14 2/8 should probably be your answear

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3 years ago

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mihalych1998 [28]

Answer:

Step-by-step explanation:

x = 1

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x = 1

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Leona [35]

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2 years ago

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It takes 15 electricians 24 days to wire a new housing subdivision. how many days would 18 electricians require to do the same j

Romashka [77]

15 electricians worked for 24 days to the whole job, now, there are 15 of them, so on any given day, each electrician worked one whole day, in 24 days, that one electrician worked 24 days total.

now, there were 15 electricians on any given day though, since each one of them worked the whole day that one day, so the "days work worth" on a day is 15, so the house gets 15days worth of work because of that.

so how many "days worth" did all 15 do on the 24 days, well, 15+15+15+15+15+15+15+15+15+15+15+15+15+15+15+15+15+15+15+15+15+15+15+15, namely 15 * 24, or 360 days worth of work.

since it takes 360 days worth of work to do the whole wiring, in how many days would 18 electricians do it? 360/18.

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4 years ago

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