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3 years ago

Please help me :(

Mathematics

1 answer:

Tanzania [10]3 years ago

8 0

We can solve this problem by correctly analyzing the location of the points.

If the center of rotation is a point outside the triangle, then this would mean that there would be quadrant shift (revolution) of the whole triangle itself. Hence this would mean that the resulting triangle will not touch the pre-image at any point at all.

If the center of rotation is a point on the perimeter of the triangle, this would also result in a quadrant shift (revolution) or movement of the triangle.

Now if the center of rotation is a point inside the triangle, then this would be a simple rotation on its own quadrant hence the resulting image will touch the pre-image at more than one point. Hence the correct points are:

point D and point E

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Let f be the function that determines the area of a circle (in square cm) that has a radius of r cm. That is, f ( r ) represents

Zepler [3.9K]

Answer:

(a)f(4) square cm.

(b)f(10.91)-f(10.9) Square centimeter.

Step-by-step explanation:

f(r)=the area of a circle (in square cm) that has a radius of r cm.

(a)Area (in square cm) of a circle whose radius is 4 cm.

Since r=4cm

Area of the circle = f(4) square cm.

(b) When the radius of the increases from 10.9 to 10.91 cm.

Area of the circle with a radius of 10.91 = f(10.91) square cm.
Area of the circle with a radius of 10.9 = f(10.9) square cm.

Change in the Area = f(10.91)-f(10.9) Square centimeter.

4 0

4 years ago

A random sample of 64 freshmen spent an average of 14 hours per week watching television. the sample standard deviation was 32 h

NemiM [27]

Answer:

+/- 1.9983

Step-by-step explanation:

The critical values for a confidence interval for the population mean, with population standard deviation not known, are obtained from the student's t distribution.

The sample size is given as 64. The degrees of freedom will thus be;

sample size - 1 = 64 - 1 = 63

The confidence level is given as 95%. The level of significance will thus be;

100 - 95 = 5%.

The area in the right-tail will thus be 2.5%. Therefore, we looking for a t-value such that the area to its right is 2.5% and the degrees of freedom being 63. From the t-tables we have;

+/- 1.9983

3 0

3 years ago

In Ms.Khans class,22 out of 25 students hand in their projects on time. What percent of the class hand in their projects on time

Nikitich [7]

88 % students of the class hand in their projects on time

Solution:

Given that, Ms.Khans class, 22 out of 25 students hand in their projects on time

Total number students = 25

Students hand in their projects on time = 22

To find: percent of the class hand in their projects on time

$\text{ percent of class hand in time } = \frac{\text{Students hand in projects on time}}{\text{total students}} \times 100$

Substituting the values, we get

$\text{ percent of class hand in time } = \frac{22}{25} \times 100\\\\\text{ percent of class hand in time } = 0.88 \times 100\\\\\text{ percent of class hand in time } = 88$

Thus 88 % students of the class hand in their projects on time

5 0

3 years ago

Help =================

Nezavi [6.7K]

Answer:

8 in²

Step-by-step explanation:

The area of a triangle is always base times half height. Since this triangle has a 90° corner, the vertical 4 inch is also the height.

So area is 4*4/2 = 8

8 0

3 years ago

What is the equation of a line that passes through (-6, 2) and has a slope of −12

zimovet [89]

Y - 2 = -12(x + 6)
y = -12x - 72 + 2
y = -12x - 70

answer

y = -12x - 70

hope it helps

3 0

4 years ago