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butalik [34]
3 years ago
13

Julia evaluated the expression 3 to the third power plus 20 divided by 2 to the second power. What’s the answer need it tonight

Mathematics
1 answer:
nexus9112 [7]3 years ago
8 0

Answer:

32

Step-by-step explanation:

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Explain why 4x3/5=(4x3/5)=12/5.
Vlada [557]
4 * 3/5
When multiplying a fraction by an integer, multiply the numerator by the integer.

4 * 3/5 = 12/5


4 0
3 years ago
What's the radius plz help me
Luba_88 [7]

Answer:

i need help to plz its 75932389 i need help its wrong

Step-by-step explanation:

6 0
3 years ago
Which expression is equivalent to −3(4+n)−(2n−5)
Alex

Answer:

-5n-17

Step-by-step explanation:

-3(4+n)-2n-5

-12-3n-2n-5

-5n-17

3 0
3 years ago
What is the solution to the system of equations? {-x+y+2z=7 { 2x-3y-2z=-4 { x -z=-2
Liono4ka [1.6K]
X  +   y+2z = 7  ------> y = 7 -x-2z (a)
2x - 3y -2z = -4 (d)
 x         -z = -2   ------> x=-2+z (b)

Substitute x(from the equation b) to the equation (a).
y = 7 -x-2z =  7 -(-2+z) -2z = 7 +2 -z - 2z= 9 - 3z 
y=9 - 3z (c)


(b) and (c) substitute into (d)
2x - 3y -2z = -4
2(-2+z) -3(9-3z)-2z = -4
-4+2z-27+9z - 2z =- 4
9z= 27
z= 3


 x=-2+3, 
x=1

 y = 7 -x-2z =7-1-2*3 = 0
y=0

Answer: x=1, y=0, z=3.

Check:
1) 2x - 3y -2z = -4 
2*1 - 3*0 -2*3 = -4 
-4=-4

2)x  +   y+2z = 7  
1+0+2*3=7
7=7

3) x-z=-1
1-3=-2
-2=-2

8 0
3 years ago
Please help i am stuck and trying not to fail lol. also if you can show work pls
wel

Given:

The figure of rectangle.

To find:

a. The diagonal of the rectangle.

b. The area of the rectangle.

c. perimeter of the rectangle.

Solution:

(a)

In a right angle triangle,

\sin \theta=\dfrac{Perpendicular}{Hypotenuse}

\sin 30=\dfrac{12}{Hypotenuse}

\dfrac{1}{2}=\dfrac{12}{Hypotenuse}

Hypotenuse=12\times 2

Hypotenuse=24

So, the diagonal of the of the rectangle is 24 units.

(b)

In a right angle triangle,

\tan \theta=\dfrac{Perpendicular}{Base}

\tan 30=\dfrac{12}{Base}

\dfrac{1}{\sqrt{3}}=\dfrac{12}{Base}

Base=12\sqrt{3}

Length of the rectangle is 12 and width of the rectangle is 12\sqrt{3}. So, the area of the rectangle is:

Area=length \times width

Area=12 \times 12\sqrt{3}

Area=144\sqrt{3}

So, the area of the rectangle is 144\sqrt{3} sq. units.

(c)

Perimeter of the rectangle is:

P=2(length+width)

P=2(12+12\sqrt{3})

P=24+24\sqrt{3}

P\approx 65.57

Therefore, the perimeter of the rectangle is about 65.57 units.

4 0
3 years ago
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