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4 years ago

Please help me out with this! I will give brainliest if I can!

Mathematics

1 answer:

Ipatiy [6.2K]4 years ago

8 0

Answer:

The answer is the second one.

Step-by-step explanation:

P=L2+w2, so if you divide the total by 2, and remove W, it will lead you to L.

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What is the decimal equivalent to 66%?

igomit [66]

Answer:

0.66

Step-by-step explanation:

Note: ALWAYS divide the percentage by 100.

7 0

3 years ago

Using point-slope form, write the equations of the lines that have the following slopes and points.

zavuch27 [327]

Point slope form: y - y1 = m(x - x1)
Plug in the values
a) y + 4 = 5(x - 2)
b) y - 9 = -3/2(x + 2)

8 0

3 years ago

Reduce the ratio of 70 and 50

dem82 [27]

Answer:

7:5

Step-by-step explanation:

70 and 50 can be divided by 10

hope this helps you :)

4 0

3 years ago

Read 2 more answers

Element X decays radioactively with a half life of 12 minutes. If there are 160

Salsk061 [2.6K]

Answer:

It would take 75.8 minutes for the element to decay to 2 grams.

Step-by-step explanation:

The number of grams of element x, after t minutes, is given by the following equation:

$X(t) = X(0)(1-r)^{t}$

In which X(0) is the initial amount and r is the decay rate.

There are 160 grams of Element X

This means that X(0) = 160.

$X(t) = X(0)(1-r)^{t}$

$X(t) = 160(1-r)^{t}$

Half life of 12 minutes.

This means that X(12) = 0.5*X(0) = 0.5*160 = 80. So

$X(t) = 160(1-r)^{t}$

$80 = 160(1-r)^{12}$

$(1 - r)^{12} = 0.5$

$\sqrt[12]{(1 - r)^{12}} = \sqrt[12]{0.5}$

$1 - r = 0.9438$

$X(t) = 160(1-r)^{t}$

$X(t) = 160(0.9438)^{t}$

How long would it take for the element to decay to 2 grams?

This is t for which X(t) = 2. So

$X(t) = 160(0.9438)^{t}$

$2 = 160(0.9438)^{t}$

$(0.9438)^{t} = \frac{2}{160}$

$\log{(0.9438)^{t}} = \log{\frac{2}{160}}$

$t\log{0.9438} = \log{\frac{2}{160}}$

$t = \frac{\log{\frac{2}{160}}}{\log{0.9438}}$

$t = 75.8$

It would take 75.8 minutes for the element to decay to 2 grams.

6 0

3 years ago

What is the measure of x?

enyata [817]

Answer:

9 in.

Step-by-step explanation:

Given that the 4 in and 10 in. lines are parallel, the two triangles are similar.

As such, the ratio of the sides would give the same results.

Hence,

4/6 = 10/(6 + x)

cross multiplying

4(6 + x) = 60

Dividing both sides by 4

6 + x = 15

collecting like terms

x = 15 - 6

= 9

3 0

3 years ago