All categories

2 years ago

Question4..........................

Mathematics

1 answer:

belka [17]2 years ago

4 0

Answer:

see explanation

Step-by-step explanation:

Given

- ( $\frac{2}{5}$ )²

The negative is outside the bracket and is not squared, that is

= - $\frac{2}{5}$ × $\frac{2}{5}$

= - $\frac{2(2)}{5(5)}$ = - $\frac{4}{25}$

Given

$\frac{5^3}{3}$ = $\frac{5(5)(5)}{3}$ = $\frac{125}{3}$

You might be interested in

Find the shortest side of a triangle whose perimeter is 64 if the ratio of two of its sides is 4:3 and the third side is 20 less

Sergio039 [100]

Answer:

The shortest side of the triangle is 18

Step-by-step explanation:

Let the sides the triangle be x, y and z.

From the question, the perimeter of the rectangle is 64, that is

x + y + z = 64 ...... (1)

Also, the ratio of two of its sides is 4:3, that is x:y = 4:3, then we can write that x/y = 4/3 ⇒ 3x = 4y ...... (2)

The third side, z, is 20 less than the sum of the other two, that is

z + 20 = x + y ...... (3)

Substitute equation (3) into (1)

Then,

z + 20 + z = 64

2z +20 = 64

2z = 64 - 20

2z = 44

z = 44/2 k

z = 22

From equation (3)

z + 20 = x + y

Then, k

22 + 20 = x +y

42 = x + y

x = 42 - y ...... (4)

Substitute this into equation 2

3x = 4y

3(42-y) = 4y

126 - 3y = 4y

4y + 3y = 126

7y = 126

y = 126/7

y = 18

Substitute this into equation (4)

x = 42 - y

x = 42 - 18

x = 24

∴ x = 24, y = 18 and z = 22

Hence, the shortest side of the triangle is 18.

4 0

2 years ago

Whats the sqareroot of 33

andre [41]

Answer:

5.744

Step-by-step explanation:

the answer is 5.744 hope it helps!

3 0

3 years ago

Read 2 more answers

Mrs. Johnson put 22,250 miles

Viefleur [7K]

The change in quantities can be represented as percentage

<em>The percentage decrease in miles driven is 34.83%</em>

The given parameters are:

$\mathbf{Initial = 22250}$

$\mathbf{Final = 14500}$

The percentage decrease is calculated as:

$\mathbf{\%Decrease = \frac{Final - Initial}{Initial} \times 100\%}$

Substitute known values

$\mathbf{\%Decrease = \frac{14500- 22250}{22250} \times 100\%}$

$\mathbf{\%Decrease = \frac{-7750}{22250} \times 100\%}$

$\mathbf{\%Decrease = \frac{-775000}{22250} \%}$

$\mathbf{\%Decrease = -34.83 \%}$

The negative sign implies that, the change represents a decrement.

Hence, the percentage decrease in miles driven is 34.83%

Read more about percentage change at:

brainly.com/question/14801224

7 0

2 years ago

Identify the initial amount a and the growth factor b in the exponential function.f(t)=1.4^t

vaieri [72.5K]

Initial amount is when no change has happened or when t=0
that iniital amoun tis 1
the growth factor
welll, it grows by 40% each time of previous times

I would say growth factor of 1.4

f(x)=a(b)^t
f(t)=1(1.4)^t
initial amount is 1
grouth factor is 1.4

6 0

3 years ago

Question 2 of 7

slamgirl [31]

2 times 8 x 12

192

2 times 5 x 8

80

2 times 12 x 5

60

192+80+60=332 ft^2

8 0

3 years ago

Read 2 more answers