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2 years ago

Find the value of X please help!

Mathematics

1 answer:

denis23 [38]2 years ago

5 0

Answer:

Step-by-step explanation:

So the first thing to do is get the number of angles inside this pentagon, which is 540 degrees. One way to do this is that you know a pentagon is formed of 3 triangles and since there are 180 degrees in a triangle, 3x180=540

Then it is algebra

540=91+125+92+(3x-5)+(4x-8)

Simplify what you can and collect like terms

540=308+3x-5+4x-8

540=308+7x-13

Then move everything over to the one side so that the variable is isolated

540-308+13=7x

245=7x

242/7=x

35=x

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Suzette deposited $800 into a bank account earning simple interest of 2.5% each year. After 5 years, how much interest had her a

Blababa [14]

Answer:

$\boxed {\boxed {\sf \$ 100.00}}$

Step-by-step explanation:

The formula for simple interest is

$I=prt$

where p is the principal, r is the rate, and t is the time.

The principal, or initial amount is $800 and the time is 5 years The interest rate is 2.5%, but we must convert to a decimal.

Divide by 100 or move the decimal place two spots to the left.

2.5/100=0.025 or 2.5 ⇒ 0.25 ⇒ 0.025

Substitute the known values into the formula.

$p= 800 \\r= 0.025 \\t= 5$

$I= (800)(0.025)(5)$

Multiply.

$I=20(5)\\I=100$

After 5 years, Suzette's account has earned $100.00

8 0

2 years ago

A trough has ends shaped like isosceles triangles, with width 5 m and height 7 m, and the trough is 12 m long. Water is being pu

Svet_ta [14]

Answer:

$\dfrac{dh}{dt}=21 \text{m/min}$

the rate of change of height when the water is 1 meter deep is 21 m/min

Step-by-step explanation:

First we need to find the volume of the trough given its dimensions and shape: (it has a prism shape so we can directly use that formula OR we can multiply the area of its triangular face with the length of the trough)

$V = \dfrac{1}{2}(bh)\times L$

here L is a constant since that won't change as the water is being filled in the trough, however 'b' and 'h' will be changing. The equation has two independent variables and we need to convert this equation so it is only dependent on 'h' (the height of the water).

As its an isosceles triangle we can find a relationship between b and h. the ratio between the b and h will be always be the same:

$\dfrac{b}{h} = \dfrac{5}{7}$