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almond37 [142]
3 years ago
13

Determine the missing measures. 38, a=

Mathematics
1 answer:
Lapatulllka [165]3 years ago
6 0

Answer:

a = 6 units

c= 6\sqrt{2}\ units

Step-by-step explanation:

Given:

Let Labelled the diagram first

Δ ABC right angle at ∠ C = 90°

∠ B = 45 °

AB = c

BC = a

AC = 6

To Find:

a =?

c =?

Solution:

In Δ ABC

∠ A + ∠ B + ∠ C = 180°.....{Angle Sum Property of a Triangle}

∴ ∠ A + 45 + 90 = 180°

∴ ∠ A = 180 - 135

∴ ∠ A = 45°

Now ∠ A = ∠ B = 45°  in Δ ABC

∴ Δ ABC is an Isosceles Triangle.

∴ Two sides are equal of an  Isosceles Triangle.

∴ AC = BC = a = 6 units

Now for c we use Pythagoras theorem

(\textrm{Hypotenuse})^{2} = (\textrm{Shorter leg})^{2}+(\textrm{Longer leg})^{2}

Substituting the given values we get

c² = a² + 6²

c² = 6² + 6²

c² = 36 + 36

c² = 72

∴ c = ±√72

as c cannot be negative

∴ c = 6\sqrt{2}\ units\\

a = 6 units

c= 6\sqrt{2}\ units

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(C) "having a deep fondness for border collies and  therefore overestimating them"

While acknowledging that "dogs may be noble, charming, loyal, and dependable," the author of Passage 1 speculates that they might not have "earned those extra intellect points." In contrast, the author's admiration for dogs may lead one to believe that the depiction of "pure intelligence shining in the face of a border collie" in lines 63–67 is exaggerated.

The answer is not (A). Passage 1's author would probably assume that Passage 2's author has a strong emotional bond with dogs. (B) is the wrong answer. The subjective assessment of canine intellect is shown in lines 63–67. They don't imply that the author of Passage 2 has in-depth understanding of the relevant studies.

The answer is not (D). Despite the fact that the author of Passage 2 appears to prefer personal experience over the findings of scientific investigations, lines 63–67 do not demonstrate any scorn for "traditional" research. The answer is not (E).

It would be harsh to assert that the author of Passage 2 has a limited understanding "of what constitutes intelligence" despite the fact that the two authors may hold different opinions on the degree to which dogs are able to reason.

Here's another question with an answer similar to this about dogs:

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1 year ago
Dilution Problem
LUCKY_DIMON [66]

Answer:

  76.7 liters

Step-by-step explanation:

You have ...

  C1×V1 = C2×V2

so ...

  V2 = V1×(C1/C2) = (115 L)×(14/21) = 76 2/3 L

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4 0
3 years ago
I need help with part B plz help me asap
Sloan [31]

Answer:

see below    PLEASE GIVE BRAINLIEST!!

Step-by-step explanation:

A)  2.40A ≦ 9.60

B) You can choose to purchase between 0 and 4 avacados.  4 is the maximum you can buy because 2.40 x 4 = 9.60 and that is all the money you have and more than 4 would make the equation incorrect.  0 is the least you can buy since you can't purchase a negative amount of something.

So, A ≦ 4

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3 years ago
How many cubic feet are equivalent to 1 cubic yard?explain?
motikmotik
(1 yard )3<span> = 1</span>3<span> yard*yard*yard</span><span> = 1 yard*yard*yard</span><span> = 1 cubic yard . Since 1 yard = </span>3 feet, we have.
1 cubic yard = (1 yard)3<span> = (</span>3 feet)3<span> = </span><span>33 feet*feet*feet</span><span> = </span>27 cubic feet<span>.</span>
8 0
3 years ago
A manufacturer of computer printers purchases plastic ink cartridges from a vendor. When a large shipment is received, a random
g100num [7]

Answer:

97.4% probability

Step-by-step explanation:

Since there is only two possible outcome of inspecting the catridge : either defective or not, we can solve the problem using the binomial probability distribution (approximated to normal).

To approximate the binomial probability to normal, we find the expected value and the standard deviation of the probability of exactly x sucesses on n repeated trials with p probability

Expected values E(X) = np

Standard deviation √V(X) = √np(1-p)

using the z-score formula (X - μ)/σ, we can solve normally distributed problem.

Where μ is the mean and σ is the standard deviation. The Z-score is is the measure of how much a sample is from the mean. The p-value associated with this z-score which is the probability that the value of the measure is smaller than X can be checked on the z-score table.

FOR THIS QUESTION,

a random sample of 200 cartridges is selected

n = 200

Therefore If there are more than 0.02 × 200 = 4 defective, the sample will be returned.

To determine the approximate probability that a shipment will be returned if the true proportion of defective cartridges in the shipment is 0.05

μ = E(X)

= 0.05 × 200 = 10

σ = √V(X) = √np(1-p)

= √200 × 0.05 × 0.95

= 3.08

This probability is 1 subtracted by the pvalue of Z when X =4

Z = (X - μ)/σ

Z= (4 - 10)/3.08

Z = -1.95

Z = -1.95 has a P-value of 0.026 (on the z-score table)

This means that there is a 1 - 0.026 = 0.974

= 97.4% probability that a shipment will be returned if the true proportion of defective cartridges in the shipment is 0.05.

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3 years ago
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