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ivann1987 [24]
2 years ago
12

A square piece of paper has an area of x2 square units. A rectangular strip with a width of 2 units and a length of x units is c

ut off of the square piece of paper. The remaining piece of paper has an area of 120 square units. Which equation can be used to solve for x, the side length of the original square?
Mathematics
1 answer:
lions [1.4K]2 years ago
9 0

Answer: The answer is A. x2 - 2x - 120= 0

Step-by-step explanation:

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∠A and ∠C are right angles. m∠p = _???_ degrees.
iogann1982 [59]

Answer

Find out the  m∠p .

To prove

As in ΔDAB is a right triangle

Apply pythagorean theorem

Hypotenuse ² = Perpendicular ² + Base²

DB² = AB² + AD²

AB = 5 units

AD = 6 units

Put in the above formula

DB² = 5² + 6²

      = 25 + 36

     = 61

DB = \sqrt{61}\ units

           = 7.8 units (approx)

Now in  ΔDCB is a right triangle .

By using the trignometric identity .

cosp = \frac{Base}{Hypotenuse}

cosp = \frac{DC}{DB}

As DC = 4 units

DB = 7.8 units  (approx)

Put all the values in the trignometric identity .

cos p = \frac{4}{7.8}

\angle p = cos^{-1}(\frac{4}{7.8})

∠p = 59.15 ° (approx)

5 0
2 years ago
Read 2 more answers
A bulletin board can be covered completely by 30 square pieces of paper without any gaps or overlaps if each piece of paper has
34kurt

Answer:

The area of the bulletin board is 30 square foot.

Step-by-step explanation:

A bulletin board can be covered completely by 30 square pieces of paper without any gaps or overlaps.

If each piece of paper has side length of 1 foot so the area of each paper is 1 ft x 1 ft = 1 square foot.

There are 30 pieces of paper needed to completely cover the bulletin board, so 30 pcs of paper with an area of 1 square foot is equal to 30 square feet. The area of the bulletin board is 30 square foot.

4 0
2 years ago
For the following pair of lines, identify the system by type.
shtirl [24]
Inconsistent, they're parallel lines
4 0
2 years ago
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A researcher evaluates the significance of a multiple-regression equation and obtains an F-ratio with df = 2,24. How many partic
alisha [4.7K]

Answer:

N=27 participants

Step-by-step explanation:

Analysis of variance (ANOVA) "is used to analyze the differences among group means in a sample".  

The sum of squares "is the sum of the square of variation, where variation is defined as the spread between each individual value and the grand mean"  

When we conduct a multiple regression we want to know about the relationship between several independent or predictor variables and a dependent or criterion variable.

If we assume that we have k independent variables and we have  j=1,\dots,j individuals, we can define the following formulas of variation:  

SS_{total}=\sum_{j=1}^n (y_j-\bar y)^2  

SS_{regression}=SS_{model}=\sum_{j=1}^n (\hat y_{j}-\bar y)^2  

SS_{error}=\sum_{j=1}^n (y_{j}-\hat y_j)^2  

And we have this property  

SST=SS_{regression}+SS_{error}  

The degrees of freedom for the model on this case is given by df_{model}=df_{regression}=k=2 where k =2 represent the number of variables.

The degrees of freedom for the error on this case is given by df_{error}=N-k-1=24. Sinc we know k we can find N.

N=24+k+1=24+2+1=27

And the total degrees of freedom would be df=N-1=27 -1 =26

On this case the correct answer would be N=27 participants

6 0
2 years ago
16 oz of trail mix costs $3.20. What is the cost per ounce? *
Rzqust [24]

Answer: .20 cents

Step-by-step explanation:

3.20/16=0.20

3 0
2 years ago
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