All categories

2 years ago

Please help! image is shown below

Mathematics

1 answer:

natta225 [31]2 years ago

4 0

The top line tells you this two figure is similar.

What does this mean? Similar figures have the exact same corresponding angles and proportionate sides.

You can find their side ratio with 38 and 15.2.

38 ÷ 15.2 = 2.5

To find x, use 55 ÷ 2.5 and you get 22 as your answer.

You might be interested in

What’s 4/5 of 3 And what’s 2/9 of 20

Karo-lina-s [1.5K]

Answer:

4/5 of 3 = 12/5

2/9 of 20 = 40/9

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Element X decays radioactively with a half life of 12 minutes. If there are 200 grams of Element X, how long, to the nearest ten

Semenov [28]

Answer:

It would take 24 minutes for the element to decay to 50 grams

Step-by-step explanation:

The equation for the amount of the element present, after t minutes, is:

$Q(t) = Q(0)e^{-rt}$

In which Q(X) decays radioactively with a half life of 12 minutes.(0) is the initial amount and r is the rate it decreases.

Half life of 12 minutes

This means that $Q(12) = 0.5Q(0)$

$Q(t) = Q(0)e^{-rt}$

$0.5Q(0) = Q(0)e^{-12r}$

$e^{-12r} = 0.5$

$\ln{e^{-12r}} = \ln{0.5}$

$-12r = \ln{0.5}$

$12r = -\ln{0.5}$

$r = -\frac{\ln{0.5}}{12}$

$r = 0.05776$

If there are 200 grams of Element X, how long, to the nearest tenth of a minute, would it take the element to decay to 50 grams?

This is t when Q(t) = 50. Q(0) = 200.

$Q(t) = Q(0)e^{-rt}$

$50 = 200e^{-0.05776t}$

$e^{-0.05776t} = 0.25$

$\ln{e^{-0.05776t}} = \ln{0.25}$

$-0.05776t = \ln{0.25}$

$0.05776t = -\ln{0.25}$

$t = -\frac{\ln{0.25}}{0.05776}$

$t = 24$

It would take 24 minutes for the element to decay to 50 grams

6 0

3 years ago

9. A pyramid has a square base with an area

Vlad [161]

Answer:

48 ft

Step-by-step explanation:

A = 144ft² = l²

144 = l²

l = √144

l = 12 ft

P = 4l

= 4×12ft

= 48 ft

4 0

3 years ago

What is the value of 3x^2 + 5x + 25 when x = 3

pshichka [43]

Answer:

Step-by-step explanation:

3x^2 + 5x + 25 when x = 3

= 3(3)^2 + 5(3) + 25

= 3(9) + 15 + 25

= 27 +15 + 25

= 67

6 0

3 years ago

4-17 (-6)-3 Pls help I know it equals -10 but I need a step by step answer

Elza [17]

Answer:

-10

Step-by-step explanation:

$4-17-(-6)-3\\\\=4-17+6-3\\\\=(4+6)+(-17-3)\\\\=10+(-20)\\\\=10-20\\\\=-10$

step two is the rule of signs for multiplication

6 0

3 years ago