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Anvisha [2.4K]
3 years ago
9

Why would you need inequalities?

Mathematics
1 answer:
77julia77 [94]3 years ago
4 0

Answer:

An inequality is a mathematical expression that contains inequality signs. For example, y≤ 12x is an inequality. Inequalities are used to tell us that an expression is either larger or smaller than another expression. Equations and inequalities can contain both variables and constants.

Step-by-step explanation:

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Help me:-
Vesnalui [34]

Answer:

20 + 4y

Step-by-step explanation:

The 4 multiplies the 5 and the y, i.e., it distributes over the terms of the expression in ( ).

5 0
2 years ago
Prove that the triangle EDF is isosceles. Give reasons for your answer.
Gekata [30.6K]

Answer:

\triangle EDF is isosceles.

Step-by-step explanation:

Please have a look at the attached figure.

We are <u>given</u> the following things:

\angle EDF = y

\text{External }\angle DFG = 90 +\dfrac{y}{2}

Let us try to find out \angle E and \angle DFE. After that we will compare them.

<u>Finding </u>\angle DFE<u>:</u>

Side EG is a straight line so \angle GFE = 180

\angle GFE is sum of internal \angle DFE and external \angle DFG

\angle GFE = 180 = \angle DFE  + \angle DFG\\\Rightarrow 180 = \angle DFE + (90+\dfrac{y}{2})\\\Rightarrow \angle DFE = 180 - 90 - \dfrac{y}{2}\\\Rightarrow \angle DFE = 90 - \dfrac{y}{2} ....... (1)

<u>Finding </u>\angle E<u>:</u>

<u>Property of external angle:</u> External angle in a triangle is equal to the sum of two opposite internal angles of a triangle.

i.e. external \angle DFG = \angle E + \angle EDF

\Rightarrow 90+\dfrac{y}{2} = \angle E + y\\\Rightarrow \angle E = 90+\dfrac{y}{2}  -y\\\Rightarrow \angle E = 90-\dfrac{y}{2} ....... (2)

Comparing equations (1) and (2):

It can be clearly seen that:

\angle DFE = \angle E =90-\dfrac{y}{2}

The two angles of \triangle EDF are equal hence \triangle EDF is isosceles.

8 0
3 years ago
How do i solve for this?
Firdavs [7]

9514 1404 393

Answer:

  97.42 square units

Step-by-step explanation:

The area of a sector is given by ...

  A = (1/2)r²θ

where r is the radius (12.2) and θ is the central angle in radians. Here, you're given the central angle as 75°, so you need to convert that to radians.

  75° = (75°)×(π/180°) radians = (5/12)π radians

Then the area is ...

  A = (1/2)(12.2²)(5π/12) = 744.2π/24 ≈ 97.42 . . . square units

__

Equivalently, you can find the area of the circle in the usual way:

  A = πr² = π(12.2²) ≈ 467.59465

Then, multiply by the fraction of the circle that is shaded (75°/360°)

  sector area = (467.59465)(75/360) = 94.42 . . . square units

5 0
3 years ago
HELPP MEE PLEASEEEEEE
Rudiy27

Answer:

wouldn't it be 5m....??

7 0
3 years ago
Read 2 more answers
4(x−0.8)=3.8x−5.8 PLZZZ ANSWER FAST!
Hunter-Best [27]
To find the answer:
4(x - 0.8) = 3.8x - 5.8 \\ 4x - 3.2 = 3.8x - 5.8 \\ 4x - 3.8x =  - 5.8 + 3.2 \\ 0.2x =  - 2.6 \\ x =   - \frac{ 2.6}{0.2}  \\ x =  - 13

Therefore, x=-13.

Hope it helps!
5 0
3 years ago
Read 2 more answers
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