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2 years ago

The sevth term of a geometric sequence is 108 the eight term is 36 find the common ratio

Mathematics

1 answer:

ValentinkaMS [17]2 years ago

7 0

Answer:

<h3><u>Required Answer</u><u>:</u><u>-</u></h3>

$\sf t_8=108 \\ \sf t_7=36$

Common difference=d

${:}\longrightarrow$ $\sf d=t_8-t_7$

${:}\longrightarrow$ $\sf d=108-36$

${:}\longrightarrow$ $\sf d=72$

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Which has the greater area: a 6 6‐centimeter by 4 1 2 412‐centimeter rectangle or a square with a side that measures 5 5 centime

Morgarella [4.7K]

Answer:

The square with side 5 centimeters have a greater area.

Corrected question;

Which has the greater area: a 6‐centimeter by 4.12‐centimeter rectangle or a square with a side that measures 5 centimeters?

Step-by-step explanation:

The Area of a rectangle can be written as;

Area A = length × breadth

Given;

Length = 6 cm

Breadth = 4.12 cm

Substituting the values;

Area of rectangle = 6cm × 4.12cm = 24.72 cm^2

For the square;

Area of a square = length × length

Given;

Length = 5 cm

Substituting the values;

Area of the square = 5cm × 5cm = 25 cm^2

Since 25 cm^2 is greater than 24.72 cm^2

The square has a greater area.

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3 years ago

The two-way table shows the number of students in class who play basketball and/or football,

allochka39001 [22]

total that play football = 40

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3 years ago

Read 2 more answers

Urgent!!!

natita [175]

Lyra's speed of travel is 6.71 feet per seconds and Lyra's direction of travel is 27 degrees north of east

<h3>How to determine the speed of travel?</h3>

The diagram that represents the scenario is added as an attachment.

Let x represents Lyra's speed of travel.

The value of x is calculated using the following Pythagoras theorem.

$x = \sqrt{3^2 + 6^2}$

Evaluate the exponents

$x = \sqrt{9 + 36}$

Evaluate the sum

$x = \sqrt{45}$

Evaluate the exponent

x = 6.71

Hence, Lyra's speed of travel is 6.71 feet per seconds

<h3>How to determine the direction of travel?</h3>

The direction (∅) is calculated using the following tangent ratio.

$\tan(\theta) = \frac 36$

Evaluate the quotient

$\tan(\theta) = 0.5$

Take the arc tan of both sides

$\theta = \tan^{_1}(0.5)$

Evaluate

$\theta = 27$

Hence, Lyra's direction of travel is 27 degrees north of east

Read more about speed and distance at:

brainly.com/question/4931057

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1 year ago

Vector u has its initial point at (-7, 2) and its terminal point at (11, -5). Vector v has a direction opposite that of vector u

salantis [7]

$\bf u\implies 
\begin{cases}
(-7,2)\\
(11,5)
\end{cases}\implies [11-(-7)]~,~[5-2]\implies (11+7)~,~(5-2)
\\\\\\
\stackrel{\textit{component form}}{\ \textless \ 18~,~3\ \textgreater \ }\\\\
-------------------------------\\\\
||u||=\sqrt{18^2+3^2}\implies ||u||=\sqrt{333}\implies ||u||=\sqrt{9\cdot 37}
\\\\\\
||u||=\sqrt{3^2\cdot 37}\implies ||u||=3\sqrt{37}\\\\
-------------------------------$

$\bf \ \textless \ -18~,~-3\ \textgreater \ \impliedby \textit{opposite vector to \underline{u}}
\\\\\\
3\cdot 3\sqrt{37}\implies 9\sqrt{37}\impliedby \textit{3 times the magnitude of \underline{u}}
\\\\\\
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3 years ago

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Elimination was used to solve a system of equations.

polet [3.4K]

Answer:

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Step-by-step explanation:

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3 years ago