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2 years ago

Which combinations of transformations will always produce congruent figures? check all that apply

Mathematics

2 answers:

vodomira [7]2 years ago

6 0

Answer:a rotation , followed by a translation

A translation followed by two reflections

Step-by-step explanation:

Vinvika [58]2 years ago

4 0

You didnt provide the selections, but some answers would most likely be rotations, translations, and reflections.

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Michael arthur deported $2,900 in a new regular savings account that earns 5.5 percent interest compounded semiannually he made

il63 [147K]

Answer:

The amount in the account is $3062.4 (Approx) and compound interest is $162.4 .

Step-by-step explanation:

Formula for compounded semiannually

$Amount = P(1 + \frac{r}{2} )^{2t}$

Where P is the principle , r is the rate in decimal form and t is the time.

As given

Michael arthur deported $2,900 in a new regular savings account that earns 5.5 percent interest .

Here

Principle = $2,900

5.5% is written in the decimal form.

$= \frac{5.5}{100}$

= 0.055

Time = 1 year

Put in the formula

$Amount = 2900\times (1 + \frac{0.055}{2} )^{2\times 1}$

$Amount = 2900\times (1 + 0.0275 )^{2\times 1}$

$Amount = 2900\times (1.0275)^{2}$

$Amount = 2900\times 1.056\ (Approx)$

Amount = $ 3062.4 (Approx)

Thus the amount after 1 years is $3062.4 (Approx) .

Now find out the compound interest .

Amount = Principle + Compound interest

Here

Amount = $ 3062.4

Principle = $2,900

Put in the above

$3062.4 = $2,900 + Compound interest

Compound interest = $3062.4 - $2,900

Compound interest = $162.4

8 0

2 years ago

You are about to visit Jamestown in North Dakota, to see the world's largest buffalo monument. You know that it snows $25\%$ of

RideAnS [48]

Answer:

The probability that it is actually snowing in North Dakota is 17%.

Step-by-step explanation:

Note: The data in the question is not properly stated. The complete question is therefore represented to correct this as follows:

You are about to visit Jamestown in North Dakota, to see the world's largest buffalo monument. You know that it snows 25% of the time in North Dakota, and you are thinking about bringing your parka. It turns out that you have three friends who live in North Dakota, but they are not very trustworthy: Each tells the truth 2/3 of the time, and lies for the remaining 1/3. You call your three friends, and each friend tells you that it is indeed snowing in North Dakota. Given this information, what is the probability that it is actually snowing in North Dakota?

The explanation to the answer is now given as follows:

The probability that it is actually snowing in North Dakota can be calculated using the following formula:

Pa = Pr * Pt ........................... (1)

Where;

Pa = the probability that it is actually snowing in North Dakota = ?

Pr = the prior probability that it snows in North Dokota = 25%, or 0.25

Pt = Probability of saying the truth that it snows = 2/3 = 0.67

Substituting the value into equation (1), we have:

Pa = 0.25 * 0.67

Pa = 0.17, or 17%

Therefore, the probability that it is actually snowing in North Dakota is 17%.

3 0

2 years ago

What is the solution of (4x-16)1/2=36^

MArishka [77]

Answer:

Answer is x=328 .

Step-by-step explanation:

solution= (4x-16)^1/2=36

squaring both sides we get

4x-16=129

4x=1296+16

x=(1296+16)/4

x=328 .

8 0

2 years ago

Read 2 more answers

A triangle is such that the largest angle is 7 times the smallest angle. The third angle is 15 less than the largest angle. Find

Tcecarenko [31]

Answer:

<u>The smallest angle measures 13°, the largest angle measures 91° and the third angle measures 76°</u>

Step-by-step explanation:

Let's recall that the interior angles of a triangle add up to 180°, therefore we have:

Smallest angle = x

Largest angle = 7x

Third angle = 7x - 15

Now, we can solve for x, using the following equation:

x + 7x + 7x - 15 = 180

15x = 180 + 15

15x = 195

x = 195/15

x = 13 ⇒ 7x = 91 ⇒ 7x - 15 = 76

<u>The smallest angle measures 13°, the largest angle measures 91° and the third angle measures 76°</u>

8 0

2 years ago

A different coffee seller offered to sell coffee to Jenae's company for half the cost of their current brand. Jenae knew her co-

scZoUnD [109]

Answer: B. Blind experiment

Step-by-step explanation: While conducting an experiment, experimenters may aim to eliminate factors which are very likely to cause bias and hence affect the veracity of the study. In the scenario above, the participants of the study (coworkers) were only provided with samples of the two coffee types without any of them knowing if it was the coffee they drank now or the new coffee brand. Hence, withholding such information from the participant is a technique in experimenting called blinding. Because, the information could affect the outcome and hence objective of the study as the participants were already partial towards the present coffee being consumed.

8 0

2 years ago