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Lelechka [254]
2 years ago
9

13.3 mm 16 mm 20.5 mm please find the volume of this triangular prism 20.5 and 16 are the base while 13.3 is the height.​

Mathematics
1 answer:
Sonbull [250]2 years ago
7 0

Answer:

2.2 × 10³ mm³

Step-by-step explanation:

We have a triangular prism with the following dimensions:

Altitude: 20.5 millimeters

Base: 16 millimeters

Height: 13.3 millimeters

We can calculate the volume of a triangular prism using the following expression.

V = (1/2 × Altitude × Base) × Height

where,

(1/2 × Altitude × Base) is the area of the base

V = (1/2 × Altitude × Base) × Height

V = (1/2 × 20.5 mm × 16 mm) × 13.3 mm = 2.2 × 10³ mm³

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Please help me this is due today
Serjik [45]

Answer:

1. 15 (A)

2. 12 (G)

Step-by-step explanation:

1.  We can make an equation out of this...

    3x+3=48

    x is the age of Geoff which is what we are trying to find out

   

    We have to add 3 to both sides of the equation

    3x+3=48

         -3   -3

     ________

    we end up with 3x=45

     we then have to divide 3 by both sides because its the opposite of                

     multipling

    3x=45

    _____

         3

    we get x=15

2.   We can write a problem statement  

      (2 x 9)-6=?

       multiply 2 and 9 <u>FIRST</u>

     

       18-6=?

       your answer is 12

      Your Welcome! Have a great rest of your day! :)

 

       

     

7 0
2 years ago
Approximately 7.5 × 10^5 gallons of water flow over a waterfall each second. There are 8.6 × 10^4 seconds in one day. Approximat
tino4ka555 [31]

Answer:

6.45 \times  {10}^{10}

6 0
2 years ago
Emma also wonders how long it will take her balance of $300 to reach $450, assuming she doesn't make any payments
Mama L [17]

Using an exponential equation, supposing a rate of 5%, it is found that it will take about 2.9 years for Emma's balance to reach $450.

An increasing exponential function is modeled by:

A(t) = A(0)(1+r)^t

In which:

A(0) is the initial value.

r is the growth rate, as a decimal.

In this problem:

Her initial balance is of $300, hence . A(0)=300

The growth rate is of 15%, hence R =0.15

Then,

A(t) = A(0)(1+r)^t

A(t) = 300(1+0.15)^t\\A(t) = 300(1.5)^t\\

It will reach $450 after t years, for which A(t) = 450, hence:

A(t) =300(1.15)^t\\450= 300(1.15)^t\\1.15^t=\frac{450}{300}\\\\1.15^t =1.5\\log(1.15)^t=log1.5\\t log 1.15 = log 1.5\\t = \frac{log1.5}{log1.15}\\\\ t =2.9

It will take about 2.9 years for Emma's balance to reach $450

Learn more about logarithm here

brainly.com/question/247340

#SPJ4 .

3 0
1 year ago
Help solving this math problem
daser333 [38]

Diagram of two triangles

The two triangles are similar because they are both right triangles, meaning that one angle is 90° and the other two are acute (less than 90°).

The diagram on the left is missing its hypotenuse - the variable <em>c</em><em>.</em><em> </em>The hypotenuse is opposite of the right angle. The diagram on the right side is missing one of its legs.

Note: The hypotenuse is the <em>longest</em><em> </em>side of a right triangle.

Word Problen

The legs are 21 blocks and 20 blocks because they are by the right angle. Use the Pythagorean theorem to find the diagonal path's length, which is the hypotenuse.

{a}^{2}  +  {b}^{2}  =  {c}^{2}

Standard form of Pythagorean theorem.

{21}^{2}  +  {20}^{2}  =  {c}^{2}

Equation with the legs substituted and the missing hypotenuse value - <em> </em><em>c</em><em>.</em>

841 =  {c}^{2}

Square the legs and add.

\sqrt{841}  = c

29 = c

Take the square root and simplify. The square root of 841 is 29 and -29, but distance is positive.

Thus the diagonal distance is 29 blocks.

Check by substituting.

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3 years ago
Help plz:)))I’ll mark u Brainliest
nekit [7.7K]

Answer:

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