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sweet [91]
2 years ago
11

2x2-4? that is my question

Mathematics
1 answer:
Luden [163]2 years ago
8 0
It’s 0,, use PEMDAS you welcome
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A sector with an area of 26pie cm^2 has a radius of 6 cm. What is the central angle measure of the sector in radians?
Zolol [24]

Answer:

The central angle measure of the sector in radians is \theta=\frac{13}{9}.

Step-by-step explanation:

A sector of a circle is the portion of a circle enclosed by two radii and an arc. It resembles a "pizza" slice.

The area of a sector when the central angle is in radians is given by

                                                    A=(\frac{\theta}{2})\cdot r^2

where

r = radius

θ = central angle in radians

We know that the area of the sector is 26 \:cm^2 and the radius is 6 cm. Applying the above formula and solving for the central angle (\theta) we get that

                                                   26=(\frac{\theta}{2})\cdot (6)^2\\\\\left(\frac{\theta}{2}\right)\left(6\right)^2=26\\\\\frac{\frac{\theta}{2}\cdot \:6^2}{36}=\frac{26}{36}\\\\\frac{\theta}{2}=\frac{13}{18}\\\\\theta=\frac{13}{9}

3 0
3 years ago
The larger leg of a right triangle is 3 cm longer than it's smaller leg. The hypotenuse is 6cm longer than the smaller leg. How
Diano4ka-milaya [45]
9 cm?? What are the choicds
4 0
2 years ago
The sum of the ages of three brothers Tema,Juma and Abdul is 65 years. Juma is twice as old as Abdul and a half times as old as
Ber [7]

Answer:

Tema = 26 years

Juma = 13 years

Abdul = 26 years

Step-by-step explanation:

Let their ages be represented as:

Tema = x

Juma = y

Abdul = z

From the question, we are told that:

Juma is twice as old as Abdul

y = 2z

z = y/2

= 0.5y

And Juma is a half times as old as Tema.

y = 1/2x

y = 0.5x

x = y/0.5

x = 2y

Hence,

x + y + z = 65

2y + y + 2y = 65

= 5y = 65

y = 65/5

y = 13 years

Since y = Zuma's age, Zuma is 13 years old

From the above question

Since 2y = z

y = 13

2 × 13 = z

z = 26

Since z = Abdul's age, Abdul is 26 years old

From the above question

x = 2y

y = 13 years

x = 2 × 13 years

x = 26 years.

Since x = Tema's age

Tema is 26 years.

Therefore, their present ages are:

Tema = 26 years

Juma = 13 years

Abdul = 26 years

7 0
2 years ago
Which equation has the solutions x = 1+ V5?
irina1246 [14]

Answer:

x^2-2x-4=0

Δ=2^2-4*1*(-4)

Δ=4+16=20

VΔ=2V5

x1= (2+2V5)/2=1+V5

the answer is D

Step-by-step explanation:

3 0
2 years ago
From base camp, a hiker walks 3.5 miles west and 1.5 miles north. Another hiker walks 2 miles east and 0.5 miles south. To the n
levacccp [35]

Answer:

The hikers are 5.9 miles apart.

Step-by-step explanation:

Let O represents the base camp,

Suppose after walking 3.5 miles west, first hiker's position is A, then after going 1.5 miles north from A his final position is B,

Similarly, after walking 2 miles east, second hiker's position is C then going towards 0.5 miles south his final position is D.

By making the diagram of this situation,

Let D' is the point in the line AB,

Such that, AD' = CD

In triangle BD'D,

BD' = AB + AD' = 1.5 + 0.5 = 2 miles,

DD' = AC = AO + OC = 3.5 + 2 = 5.5 miles,

By Pythagoras theorem,

BD^2 = BD'^2 + DD'^2

BD = \sqrt{2^2 + 5.5^2}=\sqrt{4+30.25}=\sqrt{34.25}\approx 5.9

Hence, the hikers are 5.9 miles apart.

8 0
2 years ago
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