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antoniya [11.8K]
3 years ago
9

A(n) ______ is a letter or symbol that represents some unknown value.

Mathematics
1 answer:
Nuetrik [128]3 years ago
4 0
The answer is "variable"

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A Wooden board is leaning against the house the base of the board is 10 feet from the base of the house and the base of the boar
astra-53 [7]

Answer: 12.20 feet.

Step-by-step explanation:

Observe in the figure attached that a right triangle is formed.

Then, you  need to remember the identity:

cos\alpha=\frac{adjacent}{hypotenuse}

In this case you can identify that:

adjacent=10\\hypotenuse=x

\alpha=35\°

Then, to find the length of the wooden board (x), you need to substitute values and solve for x.

Therefore, you get:

cos(35\°)=\frac{10}{x}\\\\(x)(cos(35\°))=10\\\\x=\frac{10}{cos(35\°)}\\\\x=12.20

The length of the wooden board is: 12.20 feet.

5 0
3 years ago
Manny made $102.05 for 6.5 hours of work. How much did he make per hour?
Sphinxa [80]

Answer:

$15.70/hr

Step-by-step explanation:

The unit rate (amount earned per hour) is calculated as follows:

$102.05

------------- = $15.70/hr

6.5 hrs

5 0
3 years ago
(5,-3), (5,8). Find slope
anzhelika [568]

Answer: 0 slope, horizontal line.

Step-by-step explanation:

when using y2-y1/x2-x1, you would get 8-(-3)/5-5. This simplifies to 11/0, which means that the line would have 0 slope. A line with 0 slope is a horizontal line.

7 0
3 years ago
ABC is a right triangle with AB = AC. Bisector of ∠A meets BC at D. prove that ∆ ABC ≅ ∆DEF
Olegator [25]

Answer:

Triangles ABC and DEF have the following characteristics :B and E are right angles A=D, BC=EF which congruence theorem can be used to prove ABC =DEF

5 0
3 years ago
A study was conducted looking at the association between the number of polyps in the colon and mean grams of fiber consumed per
rewona [7]

Answer:

C) The Spearman correlation results should be reported because at least one of the variables does not meet the distribution assumption required to use Pearson correlation.

Explanation:

The following multiple choice responses are provided to complete the question:

A) The Pearson correlation results should be reported because it shows a stronger correlation with a smaller p-value (more significant).

B) The Pearson correlation results should be reported because the two variables are normally distributed.

C) The Spearman correlation results should be reported because at least one of the variables does not meet the distribution assumption required to use Pearson correlation.

D) The Spearman correlation results should be reported because the p-value is closer to 0.0556.

Further Explanation:

A count variable is discrete because it consists of non-negative integers. The number of polyps variable is therefore a count variable and will most likely not be normally distributed.  Normality of variables is one of the assumptions required to use Pearson correlation, however, Spearman's correlation does not rest upon an assumption of normality. Therefore, the Spearman correlation would be more appropriate to report because at least one of the variables does not meet the distribution assumption required to use Pearson correlation.

8 0
3 years ago
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