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KatRina [158]
4 years ago
10

Look at this square, help ASAP please

Mathematics
1 answer:
Solnce55 [7]4 years ago
3 0

Answer:

The new area will be 1/4 of the old area.

Step-by-step explanation:

If you don't know the answer already from (1/2)^2 = 1/4, you can figure it out.

new area = (1/2·5 mm)·(1/2·5 mm) = (1/2)^2·(5 mm)^2

old area = (5 mm)·(5 mm) = (5 mm)^2

Then the ratio of new area to old area is ...

((1/2)^2·(5 mm)^2)/(5 mm)^2 = (1/2)^2 = 1/4

___

When any plane figure has its linear dimensions scaled by a factor of "s", its area will be scaled by a factor of s^2.

Here, s=1/2, and s^2 = 1/4, the ratio of new area to old.

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4 0
4 years ago
In a right triangle the side c opposite the right angle is called the hypotenuse, and the other two sides a and b are
RSB [31]

Answer:

The hypotenuse of the triangle measures 13 inches.

Step-by-step explanation:

Since the Pythagorean theorem states that in any right triangle the lengths of the three sides are related by the equation A ^ 2 + B ^ 2 = C ^ 2, to determine the length of the hypotenuse in a right thangle with legs 5 inches and 12 inches the following calculation should be performed:

5 ^ 2 + 12 ^ 2 = X ^ 2

25 + 144 = X ^ 2

√169 = X

13 = X

Therefore, the hypotenuse of the triangle measures 13 inches.

4 0
3 years ago
Read 2 more answers
The line plot shows the results of a survey of 10 boys and 10 girls about how many hours they slept the previous night.
Natasha_Volkova [10]
Range: boys : 7
girls: 4
7 0
4 years ago
line passes through the point (0, –1) and has a positive slope. Which of these points could that line pass through? Check all th
sammy [17]

Answer:

Points passing though are (12, 3),(–2, –5) and (1, 15)

Step-by-step explanation:

For a line passing through (x₁,y₁) and (x₂,y₂) slope is given by \frac{y_2-y_1}{x_2-x_1}.

Here we have one point (0, –1), we need to check slope of all the points given.

(12, 3)

          m=\frac{3-(-1))}{12-0}=\frac{1}{4}>0

(–2, –5)

          m=\frac{-5-(-1))}{-2-0}=\frac{-4}{-2}=2>0

(–3, 1)

         m=\frac{1-(-1))}{-3-0}=\frac{2}{-3}=-\frac{2}{3}

(1, 15)

        m=\frac{15-(-1))}{1-0}=\frac{16}{1}=16>0

(5, –2)

        m=\frac{-2-(-1))}{5-0}=\frac{-1}{5}=-\frac{1}{5}

Points with positive slope are (12, 3),(–2, –5) and (1, 15)

8 0
4 years ago
Read 2 more answers
Identify whether each of the datasets is quantitative or qualitative a. Types of computer software used in a database management
lbvjy [14]

Answer:

a. Types of computer software used in a database management system. =Qualitative

b. Life-lengths of laser printers =Quantitative

c. Brands of calculators used by 100 engineering students on campus =Qualitative

d. Mileage attained by 12 automobiles powered by alcohol= Quantitative

Step-by-step explanation:

Data is described as quantitative when it deals with numeric values whereas qualitative data is categorical in nature. Quantitative data tells us how much, how many, or the frequency of occurrence of certain variables. Qualitative data provides answers to the what, why, which, and where questions.

1. Types of computer software are not numeric variables as they answer the 'what' question.

2. Length deals with numbers, so the life-lengths of laser printers is a quantitative variable.

3. Brands of calculators are categorical data and are thus qualitative.

4. Mileage is a numerical variable and is thus quantitative.

8 0
4 years ago
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