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Arte-miy333 [17]
3 years ago
15

What is the volume of the prism

Mathematics
2 answers:
Stella [2.4K]3 years ago
6 0

\text{Hey there!}

\text{Formula: v = lwh}

\text{l = length}\\\text{w = width}\\\text{h = height}

\text{L = 2}

\text{W = 1}\frac{1}{2}\text{ also known as 1.5}

\text{H = 1}\frac{1}{2}\text{ also known as 1.5}

\text{1}\frac{1}{2}\times1\frac{1}{2}\text{ = }\frac{3}{2}\times\frac{3}{2}=2\frac{1}{4}

4\frac{1}{2}\times2=4\frac{1}{2}

\boxed{\boxed{\bf{Answer: Fraction\rightarrow4\frac{1}{2}ft^2\ \& Decimal: 4.5ft^2}}}\checkmark

\text{Good luck on your assignment and enjoy your day!}

~\frak{LoveYourselfFirst:)}

almond37 [142]3 years ago
4 0

The volume of a rectangular prism or cube is: Length × Width × Height

In this case,

- the length of the prism is 2 feet

- the width of the prism is 1.5 feet

- the height of the prism is 1.5 feet

Multiply the above to find the volume: 2 × 1.5 × 1.5 = 4.5 ft³

Keep in mind that volume is represented in cubic units!

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HELP ME PLEASE <br> solve the right triangle
Amiraneli [1.4K]

ST = 7.2

RT = 4.04

m∠S = 34°

Solution:

Given ΔRST is a right triangle.

RS = 6, ∠T = 56°

$\csc A=\frac{\text {Hypotenuse} }{\text {Opposite side}}

$\csc A=\frac{ST}{RS}

$\csc 56^\circ=\frac{ST}{6}

$\csc 56^\circ \times 6=ST

1.206 × 6 = ST

7.236 = ST

ST = 7.2

$\cot A=\frac{\text {Adjacent side} }{\text {Opposite side}}

$\cot A=\frac{RT}{RS}

$\cot 56^\circ=\frac{RT}{6}

$\cot 56^\circ \times 6=RT

0.674 × 6 = RT

4.044 = RT

RT = 4.04

To find the measure of angle S.

Sum of the interior angles of the triangle = 180°

m∠R + m∠S + m∠T = 180°

90° + m∠S + 56° = 180°

m∠S + 146° = 180°

m∠S = 180° – 146°

m∠S = 34°

8 0
2 years ago
Find 5 solutions to the question.<br><br> Y=-1.5x+2
Black_prince [1.1K]

Answer:

<em>☆</em><em><</em><em> </em><em><u>《</u></em><em><u>HOPE IT WILL HELP YOU</u></em><em>》</em><em>></em><em>☆</em>

Step-by-step explanation:

Y=1.5x+2

<h3><em><u>(</u></em><em><u>x</u></em><em><u>=</u></em><em><u>1</u></em><em><u>)</u></em></h3>

y=1.5 (1) +2

y=1.5+2

y=3.5

<h3><em><u>(</u></em><em><u>x</u></em><em><u>=</u></em><em><u>2</u></em><em><u>)</u></em></h3>

y=1.5(2)+2

y=3+2

y=5

<h3><em><u>(</u></em><em><u>x</u></em><em><u>=</u></em><em><u>3</u></em><em><u>)</u></em></h3>

y=1.5 (3)+2

y=4.5+2

y=6.5

<h3>(x=4)</h3>

y=1.5 (4)+2

y=6+2

y=8

<h3><em><u>(</u></em><em><u>x</u></em><em><u>=</u></em><em><u>5</u></em><em><u>)</u></em></h3>

y=1.5 (5)+2

y=7.5+2

y=9.5

<h2><em><u>please</u></em><em><u> </u></em><em><u>mark my ans as BRAIN</u></em><em><u> </u></em><em><u>LIST</u></em></h2>
3 0
3 years ago
Prove that the difference between a two-digit number and the product of its digits will always be a 2 digit number.
slamgirl [31]

Step-by-step explanation:

Let the two-digit number is xy

<u>This can be written as:</u>

  • 10x + y, where 1 ≤ x ≤ 9 and 0 ≤ y ≤ 9

<u>The difference between the number and product of its digits is:</u>

  • d = 10x + y - xy

<u>Rewrite this as below:</u>

d = 10x - xy + y - 10 + 10 =

     x(10 - y) - (10 - y) + 10 =

     (x - 1)(10 - y) + 10

<u>We see that:</u>

  • 0 ≤ x - 1 ≤ 8 according to the condition given above
  • 1 ≤ 10 - y ≤ 10 again according to the condition given above

<u>The value of d is then:</u>

  • 0 + 10 ≤ d ≤ 8*10 + 10
  • 10 ≤ d ≤ 90
<h3>Proved</h3>
7 0
2 years ago
Read 2 more answers
Solve each trigonometric equation such that 0 ≤ x ≤ 2????. Give answers in exact form.
sveticcg [70]

Answer:

(a) x=\frac{5\pi }{3}

(b)  x=\frac{\pi }{8}

Step-by-step explanation:

It is given that 0\leq x\leq 2\pi

(a) We have given equation 2sinx+\sqrt{3}=0

sinx=\frac{-\sqrt{3}}{2}

x=sin^{-1}(-0.866)

x=\frac{-\pi }{3}=2\pi -\frac{\pi }{3}=\frac{5\pi }{3}

(b) tan(2x)=1

2x=tan^{-1}1

2x=\frac{\pi }{4}

x=\frac{\pi }{8}

7 0
3 years ago
Which is the simplified form of r-7 + s-12?
timama [110]

Answer:

\frac{1}{ {r}^{7} }  +  \frac{1}{ {s}^{12} }

3 0
1 year ago
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