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3 years ago

Do these side lengths make a right triangle? 3, 4, 5 *

Mathematics

1 answer:

Jet001 [13]3 years ago

5 0

Answer:

This is a right triangle

Step-by-step explanation:

We can check if this is a right triangle by using the Pythagorean theorem

a^2 +b^2 = c^2 where a and b are the legs and c is the hypotenuse

3^2+4^2 = 5^2

9+16 = 25

25=25

This is true so it is a right triangle

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I will give brand list and hurry pleas

Artyom0805 [142]

Answer:

3/2 cm/s

Step-by-step explanation:

speed = gradient of the line (slope)

To calculate the slope divide the change in y by the change in x:

(9 - 0) / (6 - 0) = 9/6 = 3/2 cm/s

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2 years ago

What is the Mean Absolute Deviation or MAD for each city?

ira [324]

Answer:

A: ⅚

B: ⅚

Step-by-step explanation:

City A: 4, 3.5, 5, 5.5, 4, 2

Mean: sum/n

= 24/6 = 4

|x - mean|: 0, 0.5, 1, 1.5, 0 , 2

MAD = sum|x - mean|/n

5/6 = 0.833

City B: 5, 6, 3.5, 5.5, 4, 6

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4 years ago

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kvasek [131]

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3 years ago

60/30 in simplistic form Need answer quick!!!!!!!!!

makkiz [27]

Answer:

Step-by-step explanation:

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3 years ago

Dillon plans to invest $16,000 part at 4% simple interest and the rest at 5% simple interest what is the most he can invest at 4

Nuetrik [128]

Answer:

The most Kyle can invest at 4% is $10000.

Step-by-step explanation:

To Determine:

What is the most he can invest at 4% and still be guaranteed at least $700 in interest per year?

Information Fetching and Solution Steps:

Dillon plans to invest $16,000 part at 4% simple interest

and the rest at 5% simple interest

So,

If Kyle has to invest $16,000. then the following equations can be established from the given data

$x + y = 16,000$

$.04x + .05y = 700$

Multiplying the second equation by 100, we get,

$4x+5y = 70000$

Multiplying the 1st equation i.e. $x + y = 16,000$ by 5

$5x + 5y = 80000$

So, the equations become

$\begin{bmatrix}5x+5y=80000\\ 4x+5y=70000\end{bmatrix}$

$\mathrm{Isolate}\:x\:\mathrm{for}\:5x+5y=80000:\quad x=16000-y$

$5x+5y=80000$

$5x+5y-5y=80000-5y$

$5x=80000-5y$

$\frac{5x}{5}=\frac{80000}{5}-\frac{5y}{5}$

$x=16000-y$

$\mathrm{Subsititute\:}x=16000-y$

$\begin{bmatrix}4\left(16000-y\right)+5y=70000\end{bmatrix}$

$\mathrm{Isolate}\:y\:\mathrm{for}\:4\left(16000-y\right)+5y=70000:\quad y=6000$

$4\left(16000-y\right)+5y=70000$

$64000-4y+5y=70000$

$64000+y=70000$

$y=6000$

$\mathrm{For\:}x=16000-y$

$\mathrm{Subsititute\:}y=6000$

$x=16000-6000$

$x=10000$ $

Therefore, the most Kyle can invest at 4% is $10000.

Keywords: interest rate, equation

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3 years ago