Answer:
23.8 years
Step-by-step explanation:
85% can be written as 0.85
0.85 * 28 = 23.8 years
The dimensions of the rectangle are determined by setting up and solving a quadratic equation using the Pythagorean theorem, based on the provided conditions; the width of the rectangle is 'w', its length is 'w + 3', and the length of the diagonal is 15 inches.
In this problem, we are exploring the dimensions of a rectangle. Let's represent the width of the rectangle as 'w'. Then its length, according to the problem, is 'w + 3'. Next, we will apply the Pythagorean theorem because we are told the length of the diagonal is 15. In a rectangle, the diagonal, the length, and the width form a right triangle.
Applying the Pythagorean theorem, we get: (w)^2 + (w + 3)^2 = (15)^2. Solving this quadratic equation will give us the values for w and consequently for the length.
Take into account that the unit for these measures is in inches.
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B) to draw arcs of a given size
C) to draw perpendicular lines
D) to draw straight lines
The most direct use of a compass in geometric constructions is to draw arcs of a given size.
In geometry, a compass is a tool for drawing circles and arcs.
It consists of two arms, one with a pointed end and the other with a pencil or pen.
We have,
A compass is a tool used for drawing circles and arcs.
By adjusting the distance between the two arms of the compass, it can be used to draw circles and arcs of various sizes.
While a compass can also draw congruent angles and perpendicular lines, these constructions often require additional steps beyond simply drawing an arc of a given size.
Drawing straight lines typically requires using a straightedge, which is a different tool than a compass.
Thus,
The most direct use of a compass in geometric constructions is to draw arcs of a given size.
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The distance between the two points is √34
The formula for calculating the distance between two points is expressed as:
Given the coordinate points (1, 4) and (-2, -1). Substitute into the formula to have:
D = √(-1-4)² + (-2-1)²
D = √(-5)² + (-3)²
D = √25 + 9
D = √34
Hence the distance between the two points is √34
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Answer:
(3,5)count manually to get(3,5)
12.4 , 13.7 , 12.0 , 14.7 , 15.2 , 11.9 , 15.6
13.8 , 14.2 , 12.5 , 15.0 , 16.0 , 13.1 , 11.7
If the class creates a histogram of the data in the table, how many students are in the range 12 cm to 13.9 cm?
1) 3
2) 4
3) 7
4) 8
The correct answer is:
4) 8
Explanation:
We want to find the frequency of this range. To do this, we count how many values fall between 12.0 and 13.9. There are 8 total values that do this, so the answer is 8.
In the given data set, there are 7 values in the given range.
Here we just need to find the number of values between 12cm and 13.9 cm, from the given table, these are:
12.1 cm, 13.5 cm, 12.4 cm, 13.7 cm, 13.8 cm, 12.5 cm, 13.1 cm
So there are 7 values in the given range, which means that 7 students are in the range of 12cm and 13.9cm.
Then the correct option is the third one.
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Hmmm I don't think either is correct.
So he weighs 44 pounds, and needs to lose 7 pounds
44 - 7 = x
where x is the dog's new weight.