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MakcuM [25]
2 years ago
5

Can someone help please?

Mathematics
2 answers:
vlabodo [156]2 years ago
8 0
Z= 60 degrees is the answer
kirza4 [7]2 years ago
4 0

Answer:

Z = 60°

Step-by-step explanation:

Since, given triangles are similar. Corresponding angles of similar triangles are congruent.

Therefore,

Z = 180° - (65° + 55°)

Z = 180° - 120°

Z = 60°

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An acute triangle has side lengths 21 cm, x cm, and 2x cm. if 21 is one of the shorter sides of the triangle, what is the greate
madam [21]

Given that the sides of the acute triangle are as follows:
21 cm
x cm
2x cm

Stated that 21 cm is one of the shorter sides of the triangle2x is greater than x, so it follows that 2x MUST be the longest side


For acute triangles, the longest side must be less than the sum of the 2 shorter sides
Therefore, 2x < x + 21cm
2x – x < 21cm
x < 21cm

If x < 21cm, then 2x < 42cm
Therefore, the longest possible length for the longest side is 42cm
8 0
3 years ago
Read 2 more answers
Find the area of the composite figure.
Tamiku [17]
Area =leagth x wigth
4 0
3 years ago
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Compute the amount of interest earned in the following simple interest problem. A deposit of $4,500 at 5% for 3 years:
seraphim [82]

Answer:

$675.00

Step-by-step explanation:

4500 x 0.05 x 3 = 675

6 0
3 years ago
A different species of cockroach has weights that are approximately Normally distributed with a mean of 50 grams. After measurin
Ratling [72]

Answer:

The standard deviation of weight for this species of cockroaches is 4.62.

Step-by-step explanation:

Given : A different species of cockroach has weights that are approximately Normally distributed with a mean of 50 grams. After measuring the weights of many of these cockroaches, a lab assistant reports that 14% of the cockroaches weigh more than 55 grams.

To find : What is the approximate standard deviation of weight for this species of cockroaches?

Solution :

We have given,

Mean \mu=50

The sample mean x=55

A lab assistant reports that 14% of the cockroaches weigh more than 55 grams.

i.e. P(X>55)=14%=0.14

The total probability needs to sum up to 1,

P(X\leq 55)=1-P(X>55)

P(X\leq 55)=1-0.14

P(X\leq 55)=0.86

The z-score value of 0.86 using z-score table is z=1.08.

Applying z-score formula,

z=\frac{x-\mu}{\sigma}

Where, \sigma is standard deviation

Substitute the values,

z=\frac{x-\mu}{\sigma}

1.08=\frac{55-50}{\sigma}

1.08=\frac{5}{\sigma}

\sigma=\frac{5}{1.08}

\sigma=4.62

The standard deviation of weight for this species of cockroaches is 4.62.

4 0
3 years ago
which inequality represents all values of x for which the quotient below is defined?√8x^2 divided by √2x
MA_775_DIABLO [31]

Answer:

The function is defined when x > 0

Step-by-step explanation:

Functions with radicals are only undefined when the value in the radical is negative, because the root of a negative number is imaginary.  

We know the function is undefined when the denominator is equal to zero.  \sqrt{2x} is equal to zero when x=0.

We also know that functions with radicals are undefined when the value in the radicals are negative, because the root of a negative number is imaginary.  .  8x^{2} will always be positive, but 2x is negative when x < 0.

So the function is undefined when x = 0, and when x < 0.

Therefore it is defined when x > 0

5 0
3 years ago
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