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defon
3 years ago
9

A rectangular prism has a length of 2 1/2 meters, a width of 4 meters, and a height of 2 1/4 meters. What is the volume of the p

rism? Enter your answer in the box as a simplified mixed number or a decimal. m?
Mathematics
1 answer:
TiliK225 [7]3 years ago
8 0

22.5 is the volume of the prism

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Ruby will buy3 ivory silk lilac trees or 2 bur oak trees. He wants to buy the trees that cost less. What trees will he buy? How
baherus [9]

Rudy will buy 3 Ivory Silk Lilac trees; $4

22 × 3 = 66; 35 × 2 = 70

$70 − $66 = $4

Hope this helped.

I got this same exact question in third grade and this was my answer.

3 0
3 years ago
Find all values of x in the interval [0, 2π] that satisfy the equation. (Enter your answers as a comma-separated list.)
asambeis [7]

Answer:

(15°, 165°)

Step-by-step explanation:

Given the equation 6 sin2(x) = 3, we are to find the value of x that satisfies the equation in the interval  [0, 2π]

Given

6 sin2(x) = 3,

Divide both sides by 6

6 sin2(x)/6 = 3/6

sin2(x) = 1/2

2x = sin^-1(0.5)

2x = 30°

x = 30°/2

x = 15°

Since sin is positive in the second quadrant, x2 = 180-15

x = 165°

Hence the values within the interval are 15 and 165.

(15°, 165°)

7 0
3 years ago
Simplest form of 34/85
babymother [125]

Answer:

2/5

Step-by-step explanation:

\frac{34}{85}  =  \frac{17 \times 2}{17 \times 5}  =  \frac{2}{5}  \\

Hence, simplest form of 34/85 is 2/5.

8 0
3 years ago
In circle O, RT and SU are diameters.
nataly862011 [7]

In circle O, RT and SU are diameters. mArc R V = mArc V U = 64°. Thus, option C is correct.

Given that:

mArc R V = mArc V U,

Angle S O R = 13 x degrees

Angle T O U = 15 x - 8 degrees

<h3>How to calculate the angle TOU ?</h3>

∠SOR = ∠TOU  (Vertically opposite angles are equal).

Therefore:

13 x = 15x - 8

Subtracting 13x from both sides

13x - 13x = 15x - 8 - 13x

0 = 15x - 13x - 8

2x - 8 = 0

Adding 8 to both sides:

2x - 8 + 8 = 0 + 8

2x = 8

2x/2 = 8/2  

x = 4

∠SOR = 13x

= 13(4)

= 52°

∠TOU = 15x - 8

= 15(4) - 8

= 60 - 8

= 52°

Let a = mArc R V = mArc V U

Therefore:

mArc R V + mArc V U + ∠TOU = 180 (sum of angles on a straight line)

Substituting:

a + a + 52 = 180

2a = 180-52

2a = 128

a = 128/2

a= 64°

mArc R V = mArc V U = 64°

In circle O, RT and SU are diameters. mArc R V = mArc V U = 64°. Thus, option C is correct.

Learn more about angles here:

brainly.com/question/2882938

#SPJ1

6 0
2 years ago
Solve 7x + 6 &lt; 3(x - 2).
sasho [114]
7x+6=3x-6
    +6       +6
7x+12=3x
-3x       -3x
 4x+12=0
-4x         -4x
 divide both sides by -4 but you have to flip the sign.   
-3>x
or  
{x | x < -3}
8 0
3 years ago
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