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3 years ago

What's the volume of the figure

Mathematics

2 answers:

boyakko [2]3 years ago

5 0

Answer:

Step-by-step explanation:

The volume (V) of the triangular prism is

V = area of triangular end × length

area of triangle = $\frac{1}{2}$ × 3.4 × 2.5 = 4.25 in², hence

V = 4.25 × 4.8 = 20.4 in³ → b

hodyreva [135]3 years ago

5 0

Answer: B

Step-by-step explanation:

The volume of a triangular prism can be achieved by the equation:

$V=\frac{1}{2} *l*w*h$

similar to finding the volume of a regular right triangle, where you have:

$a=\frac{1}{2} b*h$

Here all you are adding is the dimension of depth by multiplying that depth (l) by the equation for the area.

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5. For each quantity, decide whether circumference or area would be needed to calculate it. Explain or show your reasoning.

kolbaska11 [484]

Answer:

a. The distance around a circular track. CIRCUMFERENCE

b. The total number of equally-sized tiles on a circular floor. AREA

c. The amount of oil it takes to cover the bottom of a frying pan. AREA

d. The distance your car will go with one turn of the wheels. CIRCUMFERENCE

Step-by-step explanation:

CIRCUMFERENCE : The circumference of a circle is the total length of its boundary.

AREA : Area of a circle is the total region covered buy that circle.

a. The distance around a circular track.

Here, we are covering the distance ONLY around the track and NOT inside it,

Hence, The CIRCUMFERENCE is calculated.

b. The total number of equally-sized tiles on a circular floor.

Here, we are covering the region or the total space occupied by all the tiles on the floor.

Hence, The AREA is calculated.

c. The amount of oil it takes to cover the bottom of a frying pan.

Here, we are covering the region or the total space occupied by all the oil on the bottom of the frying pan.

Hence, The AREA is calculated.

d. The distance your car will go with one turn of the wheels.

Here, the distance covered by wheel in 1 round

= Total length of the boundary of wheel

= The circumference of the wheel

Hence, The CIRCUMFERENCE is calculated.

8 0

4 years ago

Can anyone help me with this problem

Rama09 [41]

9514 1404 393

Answer:

8. A = {Delaware, New Jersey, Pennsylvania}

9. |B| = 3

Step-by-step explanation:

8. Dates prior to 1 Jan 1788 are those in 1787. The three states admitted in 1787 are listed as Delaware, Pennsylvania, New Jersey. It is usually convenient to list elements of a set in lexicographical order:

A = {Delaware, New Jersey, Pennsylvania}

9. The months June and July appear 3 separate times on the list, so there would be 3 elements in the set B.

|B| = 3

3 0

3 years ago

Identify the domain of the function shown in the graph.

ivanzaharov [21]

For this case, we find the equation of the line, for this we look for points where the line passes:

$(x1, y1) = (- 2,0)\\(x2, y2) = (- 10, -4)$

We found the slope:

$m = \frac {y2-y1} {x2-x1} = \frac {-4-0} {- 10 - (- 2)} = \frac {-4} {- 10 + 2} = \frac {- 4} {- 8} = \frac {1} {2}$

Thus, the equation of the line is:

$y = \frac {1} {2} x + b$

We substitute a point to find "b":

$0 = \frac {1} {2} (- 2) + b\\0 = -1 + b\\b = 1$

Finally:

$y = \frac {1} {2} x + 1$

Now, the domain is given by all the values for which the function is defined.

It is observed that "x" can take any value, that is, it is defined for all real numbers.

Answer:

Option A

4 0

3 years ago

An object travels 4/5 miles in one half hour. what is its speed in miles/ hour

creativ13 [48]

<span>The object's speed is 8/5 miles per hour or 1.6 mph.</span>

6 0

3 years ago

76 divided into 6954

zhuklara [117]

91.5 I’m pretty sure

7 0

3 years ago

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What's the volume of the figure​

What's the volume of the figure