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Maslowich
3 years ago
15

The sum of a number times 9 and 20 is at least 28. Translate the sentence into an inequality

Mathematics
1 answer:
SOVA2 [1]3 years ago
6 0

Answer:

9x+20>=28

Step-by-step explanation:

x is the number

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A circle has a sector with area 27 and central angle of 120
Alex_Xolod [135]

Answer:

81π

Step-by-step explanation:

-The sum of central angles in a  circle add up to 360°.

-Let x be the area of the circle.

-Given the area of a 120° is 27π, the circles area can be calculated as:

A=27\pi\\\\120\textdegree=27\pi\\360\textdegree=x\\\\\therefore x=\frac{360\textdegree\times 27\pi}{120\textdegree}\\\\=3\times 27\pi\\\\=81\pi

Hence, the area of the circle is 81π

6 0
3 years ago
What is the absolute value of the complex number -4-√2
Zepler [3.9K]
|a+bi| = √(a² + b²)

-4-√2 i -> take a = -4 and b = -√2

|-4-√2 i| = √[ (-4)² + (<span>-√2)² ]
               = </span><span>√[ 16 + 2<span> ]
               </span></span><span>= √[ 18 ]</span> = <span>√[ 9 * 2 ]
               = 3√2
the absolute value is 3√2</span>

6 0
3 years ago
triangle abc is similar to triangle def. the lengths of the sides of triangle abc are 5, 8, and 11. what is the length of the sh
Natali5045456 [20]

Answer:

The shortest sides is 12.5.

Step-by-step explanation:

5 + 8 + 11 = 24

60 / 24 = 2.5

So 2.5 * 5 = 12.5

5 0
3 years ago
In rhombus MOTH, angle HTM=(5x+6) degrees. If angle HMO=(12x-6)degrees, what is angle HMO?
forsale [732]

Answer:

m∠HMO=102°

Step-by-step explanation:

we know that

In a Rhombus the diagonals bisect the angles and opposite angles are equal

In this problem

Angles HMO and HTO are opposite angles

m∠HMO=m∠HTO

m∠HTM=(1/2)m∠HMO ----> because the diagonals bisect the angles and opposite angles are congruent

substitute the values

(5x+6)\°=(1/2)(12x-6)\°

solve for x

10x+12=12x-6\\12x-10x=12+6\\2x=18\\x=9

<em>Find the measure of angle HMO</em>

m∠HMO=(12x-6)°

substitute the value of x

m∠HMO=(12(9)-6)=102°

see the attached figure to better understand the problem

5 0
4 years ago
What is an equation that shows a relationship among certain quantities?
raketka [301]
A mathematical statement that two expressions are equal. SIMPLIFY. to write an expression in a simpler form. FORMULA. An <span>equation that shows a relationship among certain quantities</span>
8 0
3 years ago
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