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3 years ago

Can someone pleasee help me out I don’t understand ?

Mathematics

1 answer:

galina1969 [7]3 years ago

6 0

Answer:

Step-by-step explanation:

It's easier to start by putting this into fraction form.

1 1/4

Then put the fraction into a decimal.

1 1/4 is the same as 1.25

After that, turn the decimal into a percentage.

1.25 turns into 125%

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Write the expression in simplest form

Semenov [28]

Answer:

$m^{\frac{3}{2} }$

Step-by-step explanation:

Using the rules of exponents

$a^{m}$ × $a^{n}$ = $a^{(m+n)}$ , $a^{0}$ = 1

m² × $m^{\frac{3}{2} }$ × $m^{-2}$

= $m^{(2-2)}$ × $m^{\frac{3}{2} }$

= $m^{0}$ × $m^{\frac{3}{2} }$

= 1 × $m^{\frac{3}{2} }$

= $m^{\frac{3}{2} }$

8 0

2 years ago

When three squares are joined at their vertices to form a right triangle, the combined area of two smaller squares is the same a

Artist 52 [7]

Answer:

b = 12 cm

Step-by-step explanation:

The Pythagora's Theorem

The area of a square of side length x is

$A = x^2$

We have three squares, two of which have side lengths of a=5 cm and b= 13 cm.

The combined area of the smaller squares is the same as the area of the largest square. We cannot say at first sight which square is the largest, we'll assume the square of side length of 13 cm is the largest one. Thus:

$5^2+b^2=13^2$

Where b is the unknown side length.

The above expression corresponds to the Pythagora's Theorem formula. Solving for b:

$b^2={13^2-5^2=169-25=144$

$b=\sqrt{144}$

b = 12 cm

7 0

3 years ago

Write the explicit rule of the arithmetic sequence that has a first term of 3 and a fourth term of 18

mr Goodwill [35]

Answer:

$a_{n}$ = 5n - 2

Step-by-step explanation:

The nth term of an arithmetic sequence is

$a_{n}$ = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Given a₄ = 18 , then

a₁ + 3d = 18 , that is

3 + 3d = 18 ( subtract 3 from both sides )

3d = 15 (divide both sides by 3 )

d = 5

Then

$a_{n}$ = 3 + 5(n - 1) = 3 + 5n - 5 = 5n - 2 ← explicit rule

5 0

3 years ago

Mind giving me a hand?

vagabundo [1.1K]

The expression is (42*7) + (14+22)

4 0

3 years ago

A poster of area 24,000 cm2 has blank margins of width 10 cm on the top and bottom and 6 cm on the sides. find the dimensions th

bogdanovich [222]

The total poster area is:

A = (l + 20) (w + 12)

where l and w is the length and width of the printed area

24000 = (l + 20) (w + 12)

l = [24000/(w + 12)] – 20

The printed area is simply:

a = l w

substituting l:

a = ([24000/(w + 12)] – 20) w

a = (24000w)(w + 12)^-1 – 20 w

Taking the first derivative da/dw:

da/dw = (24000)(w + 12)^-1 - (24000w)(w + 12)^-2 – 20

Set da/dw = 0:

(24000)/(w + 12) - (24000w)/(w + 12)^2 – 20 = 0

Multiply everything by (w + 12)^2:

24000 (w + 12) – 24000w - 20(w + 12)^2 = 0

24000w + 288000 – 24000w – 20 (w^2 + 24w + 144) = 0

-20 w^2 – 480 w + 285120 = 0

w^2 + 24 w = 14256

Completing the square:

(w + 12)^2 = 14256 + 12^2

w + 12 = ±120

w = 108 cm

l = [24000/(w + 12)] – 20

l = [24000/(108 + 12)] – 20

l = 180 cm

Therefore the dimensions of the whole poster are:

w + 12 = 120 cm

l + 20 = 200 cm

The poster should be 200 cm x 120 cm

6 0

3 years ago