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ivolga24 [154]
3 years ago
10

Find the lateral area of the regular prism with height h , if the base of the prism is: Equilateral triangle with the side 4 cm

and h =2.5 cm
Mathematics
1 answer:
Nina [5.8K]3 years ago
7 0

Answer:

the lateral area of the regular prism is 30 cm².

Step-by-step explanation:

Given;

the base of the regular prism, b 4cm

height of the prism, h = 2.5 cm

The lateral area of the regular prism is calculated as the product of the base perimeter and height of the prism.

L.A = P x h

where;

P is the perimeter of the base = 3 x 4cm (equilateral triangle has equal sides)

P = 12 cm

L.A = 12 cm x 2.5 cm

L.A = 30 cm²

Therefore, the lateral area of the regular prism is 30 cm².

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Nesterboy [21]

Answer:

y-4=\frac{1}{5}(x-7)

Step-by-step explanation:

The point-slope form of a line is given by:

y-y_1=m(x-x_1)

Where

(x_1,y_1) is the coordinate pair (any of the points given)

m is the slope. The ratio of change in y coordinates by x coordinates

Let's calculate the slope:

m=\frac{4-3}{7-2}\\m=\frac{1}{5}

Now, it is given "y - 4", so y_1 is 4, so they are using the coordinate pair (7,4). So we can say x_1 = 7

Now we have all the values, lets write the equation:

y-y_1=m(x-x_1)\\y-4=\frac{1}{5}(x-7)

This is the point-slope form.

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3 years ago
For the following geometric sequence, find the recursive formula.<br> {-80, 20, -5, ...}
skad [1K]
For the<span> geometric sequence, it has two forms of formula

</span>
<span>We are interested in the recursive formula now

</span>
<span> {-80, 20, -5, ...}

The common ratio is (20/-80)=(-5/20)=-1/4=-0.25

So our r</span><span>ecursive formula would bea_n=a_{n-1}*(-0.25)=a_{n-1}*(- \frac{1}{4} )


</span>

I hope that helps!



3 0
3 years ago
What is the domain of f(x) = 2|x - 3| + 1 ?
defon

Domain: all reals, (-∝, ∝)

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7 0
2 years ago
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uysha [10]

Answer:

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Step-by-step explanation:

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then we just solve for x

2x+16=3x+10

subtract 10 from each side

2x+6=3x

step 2 subtract 2x from each side

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so both of their presentations are 7 slides long

then to find the length of their presentations we just plug in 6 to one of the equations

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2 years ago
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C. Euclid is known as the father of Geometry

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