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IgorC [24]
3 years ago
15

A number d minus 2 is less than -1 ?

Mathematics
2 answers:
tamaranim1 [39]3 years ago
5 0

d - 2 < -1 is how this inequality would be displayed.

However, we can solve for the value of d by treating this like a standard algebraic equation.

d - 2 < -1

<em><u>Add 2 to both sides.</u></em>

d < 1

The value of d is less than 1.

Let me know if you have any other questions.

boyakko [2]3 years ago
3 0

Answer:

Given phrase,

a number d minus 2 is less than -1

∵ '-' is the sign of minus,

⇒ d minus 2 = d - 2

Also, '<' is the sign of less than,

⇒ d minus 2 is less than -1 = d - 2 < - 1

Hence, the required inequality would be,

d-2 < -1

Now, by further solving,

Add 2 on the both sides of inequality ( additive property of inequality )

d < -1 + 2\implies d < 1

⇒ d ∈ ( -∞, 1 )

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If z varies directly as x and z=30 when x=8 find z when x=4
dangina [55]
Z=kx, 30=8k, so k=30/8=15/4 and z=15x/4, so when x=4, z=15.
8 0
3 years ago
The perimeter of equilateral triangle ABC is 81/3 centimeters, find the length of the radius and apothem.
MAXImum [283]

There is a typo error, the perimeter of equilateral triangle ABC is 81/√3 centimeters.

Answer:

Radius = OB= 27 cm

Apothem = 13.5 cm

A diagram is attached for reference.

Step-by-step explanation:

Given,

The perimeter of equilateral triangle ABC is 81/√3 centimeters.

Substituting this in the formula of perimeter of equilateral triangle =3\times\ side

3\times\ side =[tex]81\sqrt{3}

Side = \frac{81\sqrt{3} }{3} =27\sqrt{3} \ cm

Thus from the diagram , Side AB=BC=AC= 27\sqrt{3} \ cm

We know each angle of an equilateral triangle is 60°.

From the diagram, OB is an angle bisector.

Thus \angle OBC = 30°

Apothem is the line segment from the mid point of any side to the center the equilateral triangle.

Therefore considering ΔOBE, and applying tan function.

tan\theta =\frac{perpendicular}{base} \\tan\theta=\frac{OE}{BE} \\tan\theta=\frac{OE}{\frac{27\sqrt{3}}{2}  } \\tan30\times {\frac{27\sqrt{3} }{2} }= OE\\\frac{1}{\sqrt{3} } \times\frac{27\sqrt{3} }{2} =OE\\

Thus ,apothem  OE= 13.5 cm

Now for radius,

We consider ΔOBE

cos\theta=\frac{base}{hypotenuse} \\cos30= \frac{BE}{OB} \\Cos30 = \frac{\frac{27\sqrt{3} }{2}}{OB}  \\OB= \frac{\frac{27\sqrt{3} }{2}}{cos30} \\OB= \frac{\frac{27\sqrt{3} }{2}}{\frac{\sqrt{3} }{2} } \\OB =27 \ cm

Thus for

Perimeter of equilateral triangle ABC is 81/√3 centimeters,

The radius of equilateral triangle ABC is 27 cm

The apothem of equilateral triangle ABC is 13.5 cm

4 0
3 years ago
Can someone please help me help me pls
lord [1]
This is easy onystly I think you should do it your self but the answer is number b
8 0
3 years ago
There are less than 200 apples in a box. It is known that 2, 3, 4, 5, or 6 kids can share these apples evenly. How many apples c
Sedaia [141]

Answer:

<u>There can be 180 apples in that box.</u>

Step-by-step explanation:

1. Let's review the information given to answer the question correctly:

Number of apples in a box < 200

2. It is known that 2, 3, 4, 5, or 6 kids can share these apples evenly. How many apples can be in that box?

The answer is that the number of apples that can be in the box is the highest multiple of 2, 3, 4, 5, and 6 that is close to 200.

The common multiples for this set of numbers are 60, 120, 180, 240, 300 and so on with 60 as the constant.

Therefore, the highest number that is multiple for this set of numbers and at the same time lower than 200 is 180.

<u>There can be 180 apples in that box.</u>

5 0
3 years ago
James invested $250 in a savings account for 16 years. At the end of 16 years, his savings account had $700 in it.
Nikolay [14]
I=Prt
700=(250)*r*(16)
700=4000*r
700/4000-(4000*r)/4000
0.175=r
17.5%=r

The simple interest rate is 17.5%
5 0
3 years ago
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