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3 years ago

Please help me is the question in the bottom

Mathematics

1 answer:

Akimi4 [234]3 years ago

7 0

1/2, because 3/10 + 1/5 = 5/10. that means that the other part of 1 is 5/10 or 1/2

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Plz plz plz plz help me

Basile [38]

Answer:

240 plants

Step-by-step explanation:

<u>Find the area of the garden:</u>

A = 1/2bh
A = 1/2(8)(15) = 60 m²

<u>Number of plants:</u>

60*4 = 240 plants

7 0

3 years ago

Read 2 more answers

The ratio of the geometric mean and arithmetic mean of two numbers is 3:5, find the ratio of the smaller number to the larger nu

IgorC [24]

Answer:

$\frac{1}{9}$

Step-by-step explanation:

Let the numbers be x,y, where x>y

The geometric mean is

$\sqrt{xy}$

The Arithmetic mean is

$\frac{x + y}{2}$

The ratio of the geometric mean and arithmetic mean of two numbers is 3:5.

$\frac{ \sqrt{xy} }{ \frac{x + y}{2} } = \frac{3}{5}$

We can write the equation;

$\sqrt{xy} = 3$

$xy = 9 - - - (2)$

and

$\frac{x + y}{2} = 5$

$x + y = 10 - - - (2)$

Make y the subject in equation 2

$y = 10 - x - - - (3)$

Put equation 3 in 1

$x(10 - x) = 9$

$10x - {x}^{2} = 9$

${x}^{2} - 10x + 9 = 0$

$(x - 9)(x - 1) = 0$

$x =1 \: or \: 9$

When x=1, y=10-1=9

When x=9, y=10-9=1

Therefore x=9, and y=1

The ratio of the smaller number to the larger number is

$\frac{1}{9}$

3 0

3 years ago

What is the first term in a geometric sequence if the common ratio is − 2 and the sum of the first six terms is −105?

Serggg [28]

$\bf \qquad \qquad \textit{sum of a finite geometric sequence}
\\\\
S_n=\sum\limits_{i=1}^{n}\ a_1\cdot r^{i-1}\implies S_n=a_1\left( \cfrac{1-r^n}{1-r} \right)\quad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
r=\textit{common ratio}\\
----------\\
r=-2\\
n=6\\
S_6=-105
\end{cases}$

$\bf -105=a_1\left( \cfrac{1-(-2)^6}{1-(-2)} \right)\implies -105=a_1\left( \cfrac{1-(64)}{1+2} \right)
\\\\\\
-105=a_1\left( \cfrac{-63}{3} \right)\implies -105=a_1(-21)
\\\\\\
\cfrac{-105}{-21}=a_1\implies 5=a_1$

7 0

3 years ago

What is the volume of the rectangular prism?

Nataly_w [17]

Answer:

C. 72 cm^3

Step-by-step explanation:

Volume of rectangular prism is length times width times height

3 0

3 years ago

Read 2 more answers

Write an algebraic representation of a dilation that has a scale factor of 0.45.

Dimas [21]

Answer:

(x, y) → (kx, ky)

Step-by-step explanation:

7 0

3 years ago