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Taya2010 [7]
2 years ago
14

Find the range of the data set : -5, -6, -1, -3, 6, 10

Mathematics
1 answer:
Furkat [3]2 years ago
5 0
<h3>Answer:  16</h3>

Work Shown:

range = max - min = 10 - (-6) = 10 + 6 = 16

The range is the distance from the smallest item to the largest. Use of a number line might help sort out the values to see which is the smallest and largest.

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The two non-parallel sides of an isosceles trapezoid are each 7 feet long. The longer of the two bases measures 22 feet long. Th
Orlov [11]

The length of the diagonal and the shorter base are 17. 24 feet and 18. 7 feet long respectively.

<h3>How to determine the length</h3>

The cosine rule is given as;

c = \sqrt{a^2 + b^2 - 2ab cos \alpha }

c = length of the diagonal

a = base length = 22 feet

b = 7 feet

c = \sqrt{7^2 + 22^2 - 2 * 7 * 22 cos 40}

c = \sqrt{533 - 308 * 0. 7660}

c = \sqrt{533 - 235. 93}

c = \sqrt{297. 072}

c = 17. 24 feet

Using sine rule

\frac{a}{sin A }  = \frac{c}{sin C}

\frac{a}{sin 70}  = \frac{17. 24}{sin 40}

Cross multiply

a × sin 60 = c × sin 70

a × 0. 8660 = 17. 24 × 0. 9397

a = \frac{16. 20}{0. 8660}

a = 18. 7 feet long

Thus, the length of the diagonal and the shorter base are 17. 24 feet and 18. 7 feet long respectively.

Learn more about  isosceles trapezoid here:

brainly.com/question/10187910

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5 0
2 years ago
What is the area of the figure below?
murzikaleks [220]
96m^2 is your answer

6 0
3 years ago
Read 2 more answers
Determine each of the following.
castortr0y [4]

Answer:

(a) \{1,2,3,4,5,6,7,8,9,10\}

(b) 10

(c) \{\}

(d) 0

(e) 1024

Step-by-step explanation:

(a)

A = {x ∈ Z | 0 < x, x² ≤ 100}

We need to find all the elements of given set.

The given conditions are

0                ... (1)

x^2\leq 100

Taking square root on both sides.

-\sqrt{100}\leq x\leq \sqrt{100}

-10\leq x\leq 10             .... (2)

Using (1) and (2) we get

0

Since x ∈ Z,

A=\{1,2,3,4,5,6,7,8,9,10\}

(b)

We need to find the value of  | {x ∈ Z | 0 < x, x² ≤ 100}| or |A|. It means have to find the number of elements in set A.

|A|=10

| {x ∈ Z | 0 < x, x² ≤ 100}| = 10

(c)

B = {x ∈ Z | x > 10, x² ≤ 100}

We need to find all the elements of given set.

The given conditions are

x>10                ... (3)

x^2\leq 100

It means

-10\leq x\leq 10             .... (4)

Inequality (3) and (4) have no common solution, so B is null set or empty set.

B=\{\}

(d)

We need to find the value of |{x ∈ Z | x > 10, x² ≤ 100}| or |B|. It means have to find the number of elements in set B.

|B|=0

|{x ∈ Z | x > 10, x² ≤ 100}| = 0

(e)

We need to find the value of | P(A) |. P(A) is the power set of set A.

Number of elements of a power set is

N=2^n

where, n is the number of elements of set A.

We know that the number of elements of set is 10. So the value of |P(A)| is

|P(A)|=2^{10}

|P(A)|=1024

Therefore |P(A)|=1024.

7 0
3 years ago
Can someone help me with this! It would be much appreciated!!
love history [14]

Answer:

1. parallelogram

2. trapezoid

3.rectangle

4. parallelogram

5. trapezoid

6. rhombus

7.rectangle

8. rhombus

3 0
3 years ago
CAT FOODA grocery store is selling 6 cans of cat food for $3. Write and solve an equation to find the cost of a can of cat food.
Digiron [165]

Answer:

6 * 3 = 18

Step-by-step explanation:

:l

4 0
3 years ago
Read 2 more answers
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