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jeka57 [31]
4 years ago
8

Solve for x: −8 < x − 1 < 5

Mathematics
2 answers:
Shalnov [3]4 years ago
5 0

Answer:

  -7 < x < 6

Step-by-step explanation:

Add 1 to all parts of the inequality:

  -8 +1 < x -1 +1 < 5 +1

  -7 < x < 6

krok68 [10]4 years ago
5 0

Answer:

The solution is, x ∈ (-7, 6)

Step-by-step explanation:

Given compound inequality,

−8 < x − 1 < 5

⇒  −8 < x − 1 and x − 1 < 5

⇒ -8 + 1 < x  and x < 5 + 1  ( a < b, a - c < b - c ∀ a, b, c ∈ R )

⇒ -7 < x and x < 6

⇒ x is all real numbers greater than -7 and less than 6.

⇒ x ∈(-7, ∞) and x ∈(-∞, 6)

⇒ x ∈ (-7, ∞) ∩ (-∞, 6)

⇒ x ∈ (-7, 6)

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4 years ago
Can 14, 18, and 31 form a triangle ?
guapka [62]

Answer: Yes, they can.

Clarification:

We have three different sides with different lengths:

\mathrn {14, 18, 31}

These three lengths can form a triangle, an isosceles triangle.

Isosceles triangles have three different side lengths.

Hope this helps you. Best of Luck!

5 0
3 years ago
Solve the problem. Express your answer to the correct number of significant figures. 6. 221 × 7. 11 − 13. 7 =.
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Answer:

30.5

Step-by-step explanation:

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7 0
3 years ago
The Reunion Tower in Dallas, Texas, is topped by a spherical dome that has a surface area of approximately 13,924 \pi square fee
Salsk061 [2.6K]

The volume of the spherical dome will be 12.9π cubic feet when the surface area of the dome is 13.924π.

<h3>What is the volume of the sphere?</h3>

The volume of the cone is the amount of quantity, which is obtained in the 3-dimensional space. The dome is the shape of a semi-sphere the volume of the dome will be half of the volume of the sphere.

Given that the Reunion Tower in Dallas, Texas, is topped by a spherical dome that has a surface area of approximately 13,924π square feet.

The volume of the dome will be calculated as below:-

SA = 13.924π

2πr² = 13.92π

r = √6.96

r = 2.63 feet

Volume = 2 / 3 πr³

Volume = ( 2 / 3 ) π ( 2.63)³

Volume = 12.24π cubic feet

Therefore, the volume of the spherical dome will be 12.9π cubic feet.

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7 0
1 year ago
Tanθ=sinθ/cosθ<br><br> True or False
Sedbober [7]
If;
A = Adjacent
O = Opposite
H = Hypotenuse

Then,
Sin Ф = O/H
Cos Ф = A/H
Therefore,
(Sin Ф)/Cos Ф) = (O/H)/(A/H) = (O/H)*(H/A) = O/A

Now,
tan Ф = O/A ----

Therefore, it is true that
tan Ф = SinФ/CosФ
5 0
4 years ago
Read 2 more answers
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