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3 years ago

A) Write down the mathematical name of this shape.

Mathematics

1 answer:

olga nikolaevna [1]3 years ago

4 0

Answer:

Quadrilateral as it is a four-sided ploygon, having 4 edges and corners

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Prove that.....cos^2α(cosec^2α-cot^2α)=cos^2α

Dafna1 [17]

Step-by-step explanation:

We must prove that

cos²a(csc²a-cot²a) = cos²a

If we look at both sides, we can see that we have cos²a * something = cos²a. Therefore, if we can get that something to equal 1, we have our proof. In this case, that something is csc²a-cot²a. Using this information, we can work from within the parenthesis and go from there.

We can start by expanding the items in the parenthesis. Taking that csc(x) = 1/sin(x) and cot(a) = cos(x)/sin(x), we can say that

cos²a(csc²a-cot²a) = cos²a(1/sin²a - cos²a/sin²a). Because both items in the parenthesis have a denominator of sin²a, we can subtract cos²a from 1 to get

cos²a(1/sin²a - cos²a/sin²a)= cos²a((1-cos²a)/sin²a))

Next, we know that cos²a+sin²a=1, so 1-cos²a = sin²a. Plugging that in, we get

cos²a((1-cos²a)/sin²a)) = cos²a(sin²a/sin²a)

= cos²a(1)

= cos²a

4 0

3 years ago

An empty box is shaped like a rectangular prism. The box has a base area of 9/10 square foot and a height of 1/3' foot. How much

sveticcg [70]

Answer: (A)

Packing material is required to fill the box = $\frac{3}{10} ft^{3}$

Step-by-step explanation:

The box is shaped like a rectangular prism

base area = 9/10 square foot

height = 1/3 foot

Volume of a prism = base area X Height

= $\frac{9}{10}X \frac{1}{3}=\frac{3}{10} ft^{3}$

4 0

3 years ago

A random sample of 23 items is drawn from a population whose standard deviation is unknown. The sample mean is x⎯⎯ = 770 and the

zhannawk [14.2K]

Answer:

For α=0.01 and two-tailed test: t=2.8188

For α=0.025 and two-tailed test: t=2.4055

For α=0.05 and two-tailed test: t=2.0739

For α=0.10 and two-tailed test: t=1.7171

Step-by-step explanation:

In this problem, we have to estimate the value of the statistic "t" of a sample of size n=23 (22 degrees of freedom), in which the sample mean is M=770 and the sample standard deviation is s=25.

The estimated standard deviation is

$s_M=s/\sqrt{N}=25/\sqrt{23} =5.21$

The critical values of the statistic t depends on the significance level:

The degree of freedom is known: df=22.

For α=0.01 and two-tailed test: t=2.8188

For α=0.025 and two-tailed test: t=2.4055

For α=0.05 and two-tailed test: t=2.0739

For α=0.10 and two-tailed test: t=1.7171

8 0

3 years ago

Please help!!!!!!!!!!

OLEGan [10]

Answer:

The correct answer is a.

Step-by-step explanation:

Since she starts off with 15, u would be subtracting. So she gives 13 to friends. subtract 13. she gives the remaining 2 to teachers. subtract 2. she has 0 left.

5 0

3 years ago

In the scenario:

xenn [34]

Answer:

Combination

Step-by-step explanation:

6 0

3 years ago