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Kaylis [27]
2 years ago
9

Solve the compound - 20 ≤ 2x - 20 ≤ 10​

Mathematics
1 answer:
Gwar [14]2 years ago
4 0

Answer:

0≤ x ≤ 15

Step-by-step explanation:

  • - 20 ≤ 2x - 20 ≤ 10​
  • -20 + 20 ≤ 2x - 20 + 20 ≤ 10​ + 20       ⇒ add 20
  • 0 ≤ 2x  ≤ 30​                                          ⇒ divide by 2
  • 0≤ x ≤ 15                                               ⇒ answer

or x = [0,15]

​

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What is the area of the figure?
Kipish [7]

Answer:

17.98 square meters

Step-by-step explanation:

find the area of rectangle

length x width

6.2x1.8= 11.16

find area of triangle

base x height x 1/2

base= 6.2

height= 4-1.8= 2.2

area=2.2 x 6.2 x 1/2 = 6.82

add both together to get area of figure

6.82 + 11.16 = 17.98

5 0
3 years ago
What is the answer ​
Reika [66]

Answer:

35 mi²

Step-by-step explanation:

Let's subdivide the figure, as shown.

The lower part is a rectangle whose area is (5 mi)(18 mi) = 90 mi².

The upper part is a trapezoid whose area is found by averaging the length and multiplying the result by the width (8 mi - 5 mi), or 3 mi.

Area of trapezoid:

     12 mi + 18 mi

  ------------------------  =  15 mi             Width of trapezoid = 3 mi

                2

Thus, the area of the trapezoid is (3 mi)(15 mi) = 45 mi²

and the total area of the entire figure is

45 mi² + 90 mi² = 135 mi²

3 0
2 years ago
Simplifly the expression 64^7/12
Evgesh-ka [11]

Answer:

8\sqrt{2}

Step-by-step explanation:

we have

64^{\frac{7}{12}}

we know that

64=2^{6}

substitute

64^{\frac{7}{12}}=(2^{6})^{\frac{7}{12}}\\ \\=(2)^{\frac{6*7}{12}} \\ \\=(2)^{\frac{7}{2}} \\ \\=\sqrt{2^{7}}\\ \\=2^{3}\sqrt{2} \\ \\=8\sqrt{2}

7 0
3 years ago
The graph of a rational function has local maximum at (-1,0) and (8,0). The complex number 2+3i is a zero of the function. What
Natali5045456 [20]

Answer:

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5 0
2 years ago
If sally got 28 questions correct and received 70% on the exam, how many questions were on the exam
Furkat [3]

Answer: 40

Step-by-step explanation:

Number of correct questions Sally got = 28 questions

Percentage of correct questions answered= 70% on the exam,

Total number of questions in the exam = Unknown

Let the total questions in the exam be represented as y.

Since Sally got 70% correctly, this will be:

70% of y = 28

70/100 × y = 28

0.7 × y = 28

0.7y = 28

Divide both side by 0.7

0.7y/0.7 = 28/0.7

y = 40

There are 40 questions in the exam.

7 0
3 years ago
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