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Ulleksa [173]
2 years ago
13

How do I find the lateral surface area

Mathematics
1 answer:
marissa [1.9K]2 years ago
5 0

To find the lateral surface area of a pyramid, you can find the area of each triangle, A = 1/2bh or A = 1/2lw, then multiply by the number of triangles, which would be based on the number of sides of the base; or you can take half the perimeter and multiply by the slant height.
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What is the constant of proportionality in the graph below? (answer must be simplified fraction) PLEASE HELP I WILL MAKE U BRAIN
Pepsi [2]

Answer:

The constant of proportionality is \frac{9}{2}

Step-by-step explanation:

The constant of proportionality is the ratio between two directly proportional quantities

  • If x and y are in directly proportion, then \frac{y}{x}=k , where k is the constant of proportionality.
  • The direct proportion can be represented by a line whose equation is y = kx, where k is the slope of the line.

<em>To find the constant of proportionality from the given graph choose a point on the line and substitute x and y in the equation of the proportionality by the coordinates of the point.</em>

∵ Point (4, 18) lies on the line

∴ x = 4, y = 18

∵ The equation is y = kx

→ Substitute x by 4 and y by 18

∴ 18 = k(4)

∴ 18 = 4k

→ Divide both sides by 4 to find k

∴ \frac{18}{4}=\frac{4k}{4}

∴ \frac{18}{4}=k

→ Simplify the fraction by dividing up and down by 2

∴ \frac{9}{2}=k

∴ The constant of proportionality is \frac{9}{2}

6 0
3 years ago
Micah needs $18,500 to purchase a boat. How much money will he need to invest today in a savings account earning 3.2% interest,
charle [14.2K]
We have that every quarter, he will get an 0.8% interest rate. We also have that there will be 14*4=56 periods of repayment. We have that by the formula, if there are n periods and x% is the interest rate, the capital is multiplied by (100+x%)^n.
Suppose Micah invests x money. Then, we have that after 14 years, the capital available will be C=x*(1.008)^{56}=x*1.562. We have that C=18500$ and hence that 18500=x*1.562. Thus, solving for x we have that x=11841$.
Micah will need to invest only 11841$ in order to pay for his boat; this shows the importance of saving since he earns a lot of money, around 7k $.
6 0
3 years ago
Simplifies the expression 6y4+3y4
Anarel [89]
3y i'm not sure if thats right but thats what i got hope this helps
8 0
3 years ago
Write an expression that, when simplified, is equivalent to 15x + 7
Alona [7]
Sdadadasdasdasdasdasd9979797979759
4 0
3 years ago
The sum of two consecutive odd integers is 112. find the integers
Alchen [17]

55 and 57

Let the first number be n

n

+

(

n

+

2

)

=

112

simplifies to

2

n

=

110

divide by two

n

=

55

and

(

n

+

2

)

=

57

plz mark me as brillant

8 0
2 years ago
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