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3 years ago

Solve x2 + 10x + 12 = 36 for x.

Mathematics

2 answers:

tankabanditka [31]3 years ago

8 0

X=2 my friend
hope this helps!

IRISSAK [1]3 years ago

5 0

X = 2,-12

Have a good day

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A supplier sells 214 2 1 4 pounds of mulch for every 113 1 1 3 pounds of gravel. The supplier sells 172 pounds of mulch and grav

Dennis_Churaev [7]

Answer:

2.25 + 1 1/3=3.5833333 combined number of pounds of mulch and gravel sold.

2.25/3.583333 X 172=108 pounds of mulch that the supplier sells

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Step-by-step explanation:

Let 'x' = pounds of gravel The ratio of mulch to gravel is given 2 1/4 / 1 1/3 Which equals 9/4 / 4/3 = 27/16

So the total gravel and much is equal to x + 27/16x = 172

Solving for 'x'

43/16 x = 172

x = 172 (16/43) = 64 pounds of gravel Mulch = 27/16x = 64 (27/16)= 108 pounds

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Step-by-step explanation:

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3 years ago

A chord is 10cm from the centre of a circle of radius 15cm. Find the length of the chord.

almond37 [142]

Answer: 21.44 cm

Step-by-step explanation:

Given

Radius r=15 cm

distance of chord from the center is 10 cm

From the figure, the length of the chord is AC

Applying Pythagoras

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Triangle abc is similar to triangle def solve for both unknown sides

Serhud [2]

Given:

Triangles ABC and DEF are similar triangles.

AB = 6 m, BC = 16 m, CA = 15 m, DE = x, EF = 32 m, FD = y

To find:

The values of unknown sides, i.e., x and y.

Solution:

We know that the corresponding parts of similar triangles are proportional and triangles ABC and DEF are similar triangles, so

$\dfrac{AB}{DE}=\dfrac{BC}{EF}=\dfrac{CA}{FD}$

$\dfrac{6}{x}=\dfrac{16}{32}=\dfrac{15}{y}$

$\dfrac{6}{x}=\dfrac{1}{2}=\dfrac{15}{y}$

Now,

$\dfrac{6}{x}=\dfrac{1}{2}$

$6\times 2=1\times x$

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$\dfrac{1}{2}=\dfrac{15}{y}$

$1\times y=15\times 2$

$y=30$

Therefore, the measure of unknown sides are x = 12 m and y = 30 m.

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2 years ago