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Alekssandra [29.7K]

2 years ago

14

The three vertices of a triangle drawn on a complex plane are represented by 0 + 0i, 4 + 0i, and 0+ 3i. The length of the hypote

nuse is (??) units, and the area of the triangle is (??) square units. (Hint: Use the Pythagorean theorem.)

2 answers:

nirvana33 [79]2 years ago

3 0

Once you have the points they make a 3-4-5 triangle. The two legs are 3 and 4, so the hypotenuse has to be 5. Or you could use the pythagorean theorem a² + b² = c² 3² + 4² = c² 25 = c² c = 5
then find area
A=1/2bh
1/2(3*4)
6

4vir4ik [10]2 years ago

3 0

A=1/2 b times h
1/2(3 times 4)
=6 is the correct answer

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15miles/1 hours = ?ft/1 hours

Nataly [62]

Answer:

79200ft/1 hour

Step-by-step explanation:

Formula

multiply the length value by 5280

8 0

2 years ago

A carpenter wants to build a rectangular box with square sides in which to put round things. the material for the bottom costs $

alexira [117]

Answer: $1.627\times 1.627\times 1.88\ ft^3$

Step-by-step explanation:

Given

Suppose side face have a dimension of l\times l

and width of h

volume $V=l^2\cdot h$

$h=\frac{V}{l^2}$

volume $V=5 ft^3$

Area of side wall is $A_s=l^2$

Area of top Wall $A_t=l\times h$

Area of bottom $A_b=l\times h$

Cost of bottom wall $c_b=20\times l\times h=20lh$

Cost of top wall $c_t=50\times l\times h=50lh$

Cost of side walls $c_s=4\times l^2\times 10=40l^2$

total cost $C=c_s+c_t+c_b=20lh+50lh+40l^2$

$C=70lh+40l^2$

$C=70\times l\times \frac{5}{l^2}+40l^2$

differentiate C w.r.t l to get minima or maxima

$\frac{\mathrm{d} C}{\mathrm{d} l}=0$

$-\frac{350}{l}+80l^2=0$

$l^3=\frac{350}{80}$

$l=1.627 ft$

$h=\frac{5}{2.648}$

$h=1.88 ft$

Dimension of Box is $1.627\times 1.627\times 1.88\ ft^3$

5 0

3 years ago

Help me with this problem please

andreev551 [17]

Answer:

$y = \frac{ - 3x + 6}{2} = \\ x = 4 \\ y = \frac{ - 3 \times 4 + 6}{2} = \frac{ - 12 + 6}{2} = \frac{ - 6}{2} = - 3$

3 0

3 years ago

What would be the answer for 16.058-1.2, and how would you solve it. Please and thankyou.

dimaraw [331]

Answer:

14.858

Step-by-step explanation:

you get your 1.2and add 2 more 0s to get it to the same amount of numerical digits as 16.058 then you write ur subtraction

16.058

-1.200

_____

and u subtract it normally

so ull get 14.858

6 0

3 years ago

1x10 to the fifth power over 4x10 to the negative faith power given on scientific notation

MissTica

Answer:

$2.5*10^{8}$

Step-by-step explanation:

<u><em>The correct question is</em></u>

1x10 to the fifth power over 4x10 to the negative fourth power given on scientific notation

we know that

To divide two numbers in scientific notation, divide their coefficients and subtract their exponents.

we have

$\frac{1*10^{5}}{4*10^{-4}}=(\frac{1}{4})*10^{5+4} =0.25*10^{9}= 2.5*10^{8}$

8 0

3 years ago