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2 years ago

I would greatly appreciate if anyone could show me how to complete this problem.

Mathematics

1 answer:

Naya [18.7K]2 years ago

4 0

Answer:

the best way to solve this is to have graph paper, so your numbers and points align. I have a model attached. the first point is hours slept 8. so on your graph go to 8 then across to 83, which is the test score. make a mark to represent this point. do this for all and it will create a line

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Here is a triangular pyramid and its net.

galben [10]

Answer:

a) Area of the base of the pyramid = $15.6\ mm^{2}$

b) Area of one lateral face = $24\ mm^{2}$

c) Lateral Surface Area = $72\ mm^{2}$

d) Total Surface Area = $87.6\ mm^{2}$

Step-by-step explanation:

We are given the following dimensions of the triangular pyramid:

Side of triangular base = 6mm

Height of triangular base = 5.2mm

Base of lateral face (triangular) = 6mm

Height of lateral face (triangular) = 8mm

a) To find Area of base of pyramid:

We know that it is a triangular pyramid and the base is a equilateral triangle. $\text{Area of triangle = } \dfrac{1}{2} \times \text{Base} \times \text{Height} ..... (1)\\$

${\Rightarrow \text{Area of pyramid's base = }\dfrac{1}{2} \times 6 \times 5.2\\\Rightarrow 15.6\ mm^{2}$

b) To find area of one lateral surface:

Base = 6mm

Height = 8mm

Using equation (1) to find the area:

$\Rightarrow \dfrac{1}{2} \times 8 \times 6\\\Rightarrow 24\ mm^{2}$

c) To find the lateral surface area:

We know that there are 3 lateral surfaces with equal height and equal base.

Hence, their areas will also be same. So,

$\text{Lateral Surface Area = }3 \times \text{ Area of one lateral surface}\\\Rightarrow 3 \times 24 = 72 mm^{2}$

d) To find total surface area:

Total Surface area of the given triangular pyramid will be equal to <em>Lateral Surface Area + Area of base</em>

$\Rightarrow 72 + 15.6 \\\Rightarrow 87.6\ mm^{2}$

Hence,

a) Area of the base of the pyramid = $15.6\ mm^{2}$

b) Area of one lateral face = $24\ mm^{2}$

c) Lateral Surface Area = $72\ mm^{2}$

d) Total Surface Area = $87.6\ mm^{2}$

8 0

2 years ago

Find two numbers such that the sum of the first and three times the second is 5 and the sum of the second and two times the firs

Sav [38]

Answer:

first number= 19/5

second number= 2/5

Step-by-step explanation:

first number= a

second number= b

a+3b=5 equation 1

b+2a=8 equation 2

using equation 2 we have

b=8-2a

using equation 1 we have

a+3(8-2a)=5

a+24-6a=5

24-5=6a-a

19=5a

a=19/5 = first number

so using b=8-2a

we have

b=8-2(19/5)

b=8-(38/5)

b=2/5 = second number

4 0

3 years ago

Pls help !!! Thank you

pishuonlain [190]

Answer:

y-10=2/3(x-8)

Step-by-step explanation:

(y2-y1)/(x2-x1) is the equation for slope so put your points in you get 2/3 once simplified then its just a matter of putting points in the equation y-y1= m(x-x1)

5 0

3 years ago

Tam sayılı kesirleri anlatır mısınız?

Afina-wow [57]

Bir tam sayı ve bir basit kesir ile ifade edilen kesirlere taam sayılı kesir denir.

4 0

2 years ago

what is the greatest six digit number in which the thousands place is twice the digit in the tens place what is the least number

kotegsom [21]

998994 and 112111
This seems to be the best numbers

4 0

3 years ago