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2 years ago

What equations are equivalent to1/4(8x+56)=20

Mathematics

1 answer:

liq [111]2 years ago

7 0

Answer:

Step-by-step explanation:

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Anyone know the answer

kykrilka [37]

You would need to change the slope to -6 because perpendicular lines have opposite reciprocal slopes.

5 0

3 years ago

15. The length of each edge of a regular tetrahedron,

grigory [225]

Slant height of tetrahedron is=6.53cm

Volume of the tetrahedron is=60.35 $\mathrm{cm}^{3}$

Given:

Length of each edge a=8cm

To find:

Slant height and volume of the tetrahedron

<u>Step by Step Explanation: </u>

Solution;

Formula for calculating slant height is given as

Slant height= $\sqrt{\frac{2}{3}} a$

Where a= length of each edge

Slant height= $\sqrt{\frac{2}{3}} \times 8$

= $\sqrt{0.6667} \times 8$

= $0.8165 \times 8$ =6.53cm

Similarly formula used for calculating volume is given as

Volume of the tetrahedron= $\frac{a^{3}}{6 \sqrt{2}}$

Substitute the value of a in above equation we get

Volume= $\frac{8^{5}}{6 \sqrt{2}}$

= $\frac{512}{6 \sqrt{2}}$

= $\frac{512}{6 \times 1.414}$

Volume= $512 / 8.484$ =60.35 $\mathrm{cm}^{3}$

Result:

Thus the slant height and volume of tetrahedron are 6.53cm and 60.35 $\mathrm{cm}^{3}$

7 0

3 years ago

In problems below, (a) identify the independent variable and the dependent variable of each equation (use 't' for the independen

7nadin3 [17]

Step-by-step explanation:

The unanimous Declaration of the thirteen united States of America, When in the Course of human events, it becomes necessary for one people to dissolve the political bands which have connected them with another, and to assume among the powers of the earth, the separate and equal station to which the Laws of Nature

8 0

3 years ago

How much money will there be in an account at the end of 10 years if $3000 is deposited at 3% interest compounded

BaLLatris [955]

Answer:

$4040.57

Step-by-step explanation:

A=P(1+(r/n))^nt

P = Principal = 3000

r = rate = 0.03

n = no. times payed each year = 2

t = years = 10

A = 3000(1 + (0.03/2))^(2x10)

A = 3000(1.015)^20

A = 4040.57 (2.d.p)

Hope this helped!

6 0

3 years ago

If i read 60 pages in 1 5/12 hours how long will it take me to read 120 pages

zysi [14]

Answer:

Step-by-step explanation:

Direct proportion

60: 1 5 /12 = 120 : x

60: 17/12 = 120:x

Product of extremes = product of mean

60*x = (17/2)*120

$60*x=\frac{17}{12}*120\\\\60*x=17*10\\\\x=\frac{17*10}{60}\\\\x=\frac{17}{6}\\\\x=2\frac{5}{6}$

It will take 2 5/6 hours to read 120 pages

8 0

3 years ago