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3 years ago

3x + 5y= -5 in standard form

Mathematics

1 answer:

melomori [17]3 years ago

5 0

Answer:

y= $\frac{3}{5} x-1$ -

Step-by-step explanation:

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One of the diagonals of a rhombus of perimeter 120m is 36m. Find its area and the length of the other diagonal. pls answer fastt

mash [69]

Answer: $864\ m^2,\ 24\ m$

Step-by-step explanation:

Given

Perimeter of the rhombus is $120\ m$

Length of one of the diagonal is $d_1=36\ m$

All the sides of the rhombus are equal

$\Rightarrow 4a=120\\\Rightarrow a=30\ m$

Area of the rhombus with side and one diagonal is

$\Rightarrow \text{Area=}\dfrac{1}{2}d\sqrt{4a^2-d^2}$

Insert the values

$\Rightarrow \text{Area=}\dfrac{1}{2}\times 36\times \sqrt{4\cdot 30^2-36^2}\\\\\Rightarrow \text{Area= }18\sqrt{3600-1296}\\\Rightarrow \text{Area= }18\times 48\\\Rightarrow \text{Area= }864\ m^2$

Area with two diagonals length can be given by

$\Rightarrow \text{Area =}0.5\times d_1\times d_2 \\\text{Insert the values}\\\Rightarrow 864=36\times d_2\\\Rightarrow d_2=24\ m$

Thus, the area of the rhombus is $864\ m^2$ and the length of the other diagonal is $24\ m$

4 0

3 years ago

It takes Lara 1/3 hour to walk to the library 3/4 mile away. What is her walking pace?

Dmitry [639]

2 1/4 miles per hour.

3 0

4 years ago

Help me please!

Neko [114]

I think the answer is A.

6 0

4 years ago

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The loudness, L, measured in decibels (Db), of a sound intensity, I, measured in watts per square meter, is defined as L=10logl/

matrenka [14]

Answer:

The the loudness heard by the mower will be 4 times the loudness heard by the Brandon.

Step-by-step explanation:

The least intense sound a human ear can hear , $I^o=10^{-12} dB$

The sound intensity level that Brandon can hear ,I= $10^{-10} dB$

$L=10\log\frac{I}{I^0}=10\log\frac{10^{-10} dB}{10^{-12}dB}=20$

The sound intensity level of the mower that Ahmad ,I'= $10^{-4} dB$

$L'=10\log\frac{I'}{I^0}=10\log\frac{10^{-4} dB}{10^{-12}dB}=80$

So, the:

$\frac{L}{L'}=\frac{20}{80}=\frac{1}{4}$

$L'=4\times L$

The the loudness heard by the mower will be 4 times the loudness heard by the Brandon.

7 0

4 years ago

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Natalie paid $20.7 for 3 small pizzas and a salad which was $3.

sdas [7]

$20.70= 3p +3
This is the equation yo represent the situation

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3 years ago