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3 years ago

How to find the long leg of 2√2 from a 30:60:90 triangle?

Mathematics

2 answers:

Komok [63]3 years ago

7 0

check the picture below.

seropon [69]3 years ago

5 0

Answer: $2\sqrt{6}$

Step-by-step explanation:

A 30°-60°-90° triangle has the following sides: b - $b\sqrt{3}$ - 2b

short leg (matches to 30°) so b = $2\sqrt{2}$

long leg (matches to 60°) so $b\sqrt{3}$ = $(2\sqrt{2})\sqrt{3}$ = $2\sqrt{6}$

hypotenuse (matches to 90°) so 2b = $2(2\sqrt{2})$ = $4\sqrt{2}$

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What is the volume of the right rectangular prism?

kenny6666 [7]

Answer:

240

Step-by-step explanation:

V=width height length = 10 · 3 · 8 = 240

Hope this helped, have a wonderful day man!

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3 years ago

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If f(x) = 2x^2+ 1 and g(x)= x^2-7, find (f-g)(x)

Ganezh [65]

Answer:

2x squared +1 (-)x squared -7 is

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Step-by-step explanation:

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3 years ago

Rajan needs 1 liter of 15% hydrochloric acid solution for an experiment. He checks his storage cabinet, but he only has a 5-lite

Delvig [45]

Answer:

0.75 liters of 5% hydrochloric acid solution
0.25 liters of 45% hydrochloric acid solution.

Step-by-step explanation:

Let us assume that, x liters of the 5% hydrochloric acid and y liters of the 45% hydrochloric acid solutions are combined.

As Rajan need total of 1 liter of solution, so

$x+y=1$

i.e $x=1-y$ --------------------1

As Rajan needs 5% hydrochloric acid and 45% hydrochloric acid to make a 1 liter batch of 15% hydrochloric acid, hence acid content of the mixture of two acids will be same as of the final one, so

$0.05x+0.45y=1\times 0.15$

i.e $5x+45y=15$ -------------2

Putting value of x from equation 1 in equation 2,

$\Rightarrow 5(1-y)+45y=15$

$\Rightarrow 5-5y+45y=15$

$\Rightarrow 5+40y=15$

$\Rightarrow 40y=15-5=10$

$\Rightarrow y=0.25$

Putting the value of y in equation 1,

$x=1-0.25=0.75$

Therefore, Rajan must use 0.75 liters of 5% hydrochloric acid solution and 0.25 liters of 45% hydrochloric acid solution.

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3 years ago

6 oz X 0.59/oz please help me

nlexa [21]

Do u have to convert the oz or something because i think all u have to do is multiply and the answer will simply be 3.54
Hope that helps

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3 years ago

Graph h(x) = 4x + 4 + 3. Help me plz

saveliy_v [14]

Answer:

h(x)=4x+7

Step-by-step explanation:

4+3 can be added together if they do not have a variable. h(x)=4x+7. Plug in different x coordinates and solve for h(x). Now graph those points.

(-2,1)

(0,7)

(-1.75,0)

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3 years ago

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