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2 years ago

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Find the volume of the composite figure. First, find the volume of the triangular prism. 4 cm Triangular prism Volume = [?] cm 5

cm 5 cm 6 cm Rectangular prism Volume = [ ] cm? 10 cm Total Volume of Composite Figure = [ ]cm 8 cm Enter

1 answer:

crimeas [40]2 years ago

6 0

Answer: See attached image.

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Determine whether each number is rational or irrational.

kirill115 [55]

Answer:

where is the question.

So basically rational numbers are numbers with decimals that are not random

ex) 3.66666666, 4.040404040, 3.5645645645646

the decimals are at a fixed order

Irrational is random decimals that makes it look weird

ex)3.141592643, 5. 782759453, 8.825928342

hope that answers your question

Step-by-step explanation:

5 0

3 years ago

Can someone please help me with this?

lutik1710 [3]

Answer:

(-78/29, -619/29)

Step-by-step explanation:

Since both equations are equal to y we can set them equal to each other

15x+19 = 1/2x - 20

Subtract 1/2x from each side

15x -1/2x +19 = -20

Subtract 19 from each side

14 1/2 x +19-19 = -20-19

Changing to an improper fraction

29/2 x = -38

Multiply each side by 2/29

x = 2/29 * -38

x = -78/29

Now find y

y = 1/2x - 20

y = 1/2 (-78/29) -20

y = -39/29 - 20

Get a common denominator

=-39/20 - 580/29

= -619/29

-39/29 -580/29

8 0

3 years ago

The figure shows the layout of a symmetrical pool in a water park. What is the area of this pool rounded to the tens place? Use

k0ka [10]

Answer:

$2489ft^{2}$

Step-by-step explanation:

The pool are is divided into 4 separated shapes: 2 circular sections and 2 isosceles triangles. Basically, to calculate the whole area, we need to find the area of each section. Due to its symmetry, both triangles are equal, and both circular sections are also the same, so it would be enough to calculate 1 circular section and 1 triangle, then multiply it by 2.

<h3>Area of each triangle:</h3>

From the figure, we know that <em>b = 20ft </em>and <em>h = 25ft. </em>So, the area would be:

$A_{t}=\frac{b.h}{2}=\frac{(20ft)(25ft)}{2}=250ft^{2}$

<h3>Area of each circular section:</h3>

From the figure, we know that $\alpha =2.21 radians$ and the radius is $R=30ft$ . So, the are would be calculated with this formula:

$A_{cs}=\frac{\pi R^{2}\alpha}{360\°}$

Replacing all values:

$A_{cs}=\frac{(3.14)(30ft)^{2}(2.21radians)}{6.28radians}$

Remember that $360\°=6.28radians$

Therefore, $A_{cs}=994.5ft^{2}$

Now, the total are of the figure is:

$A_{total}=2A_{t}+2A{cs}=2(250ft^{2} )+2(994.5ft^{2})\\A_{total}=500ft^{2} + 1989ft^{2}=2489ft^{2}$

Therefore the area of the symmetrical pool is $2489ft^{2}$

3 0

3 years ago

Using approciate properties find -4/7*3/5+4/7*-1/5+2/5*-4/5

slega [8]

Answer: 0.548

Step-by-step explanation:

First you need to remember the formula for PEMDAS(Parenthesis,exponents,multiplication,divison,addition,subtractio)

you can do either multiplication or divison whichever comes first, same with addition+subtraction.

the underlined means to simplify

1.<u>-0.57x3</u>/5+4/7x-1/5+2/5x-4/5

2.<u>-1.71/5</u>+4/7x-1/5+2/5x-4/5

3.-0.342+<u>4/7</u>x-1/5+2/5x-4/5

4.-0.342+0.57x<u>-1/5</u>+2/5x-4/5

5.-0.342+<u>0.57x-0.2</u>+2/5x-4/5

6.-0.342+0.114+<u>2/5</u>x-4/5

7.-0.342+0.114+<u>0.4x-4</u>/5

8.-0.342+0.114+<u>-1.6/5</u>

9.<u>-0.342+0.114</u>+-0.32

10.<u>-0.228+-0.32=-0.548</u>

<u>i did this all in one go so......</u>

8 0

3 years ago

What is the area of a trapezoid if the base is 5, 17, 5 and height is 4

Snowcat [4.5K]

Answer:

Step-by-step explanation:

Trapezoid

Solve for area

A=44

a Base

5

b Base

17

h Height

4

7 0

3 years ago