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3 years ago

How do I solve for x?

Mathematics

1 answer:

Murrr4er [49]3 years ago

8 0

Answer:

x = 3

Step-by-step explanation:

The right triangles are all similar, so the ratio of short leg to hypotenuse is the same for both marked triangles.

short leg / hypotenuse = x/(x+3) = (x+3)/12

12x = (x +3)^2 . . . . . multiply by 12(x+3)

x^2 -6x +9 = 0 . . . . put in standard form

(x -3)^2 = 0 . . . . . . . factor

x = 3 . . . . . the value of x that makes the factor(s) zero

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2^_/2^2=2^3. Please help me I really really really really really need this. THX

Ket [755]

The missing number is 6

5 0

3 years ago

Geometry question, any help is appreciated

kodGreya [7K]

Answer:

Hence, the ratios are given by 5:7, 25:49, 125:343.

Step-by-step explanation:

We are given two spheres such that:

Volume of small sphere $V_{s}$ = 250 $yd^{3}$

Volume of large sphere $V_{l}$ = 686 $yd^{3}$ .

Then the ratio of volume = 250 : 686 = 125 : 343.

Since, the volume of a sphere = $\frac{4 \pi \times r^{3}}{3}$ , this gives us that the ratio of the radius = ∛ $V_{s}$ : ∛ $V_{l}$

i.e. The ratio of the radius = ∛125 : ∛343 = 5 : 7.

Further, as the surface area of a sphere = $4 \pi \times r^{2}$ , this gives us that the ratioof surface area = $r_{s} ^{2}$ : $r_{l} ^{2}$

i.e The ratio of the surface area = $5^{2}$ : $7^{2}$ = 25 : 49

So, the ratio of the surface areas = 25 : 49.

Hence, the ratios are given by 5:7, 25:49, 125:343.

4 0

3 years ago

Read 2 more answers

What is the product of 4<br>1/6 and 2 1/5

maw [93]

Answer:

4.91

Step-by-step explanation:

4¹/6*2¹/5

25/6*11/5

275/30

4.91

8 0

3 years ago

3. Lucas bought grapes to bring to his class party. After the party,

Paul [167]

Answer: 4.2 lbs

Step-by-step explanation:

Amount of grapes he had (in pounds) = 1.9 + 2.3 pounds

Amount of grapes he had (in pounds) = 4.2 pounds

4 0

3 years ago

If the statement if it cold then i wear a jacket is assumed to be true is it converse if i wear a jacket it must be cold also al

Archy [21]

The converse of any statement, true or false, is never always true. The only guaranteed true statement is a contrapositive of a true statement. A contrapositive is a statement where the hypothesis and conclusion are switched, and both sides are negated.

Final Answer: no

3 0

3 years ago