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3 years ago

Congruent Triangles on the Coordinate Plane

Mathematics

1 answer:

DaniilM [7]3 years ago

5 0

Answer:

all are congruent via SAS

Step-by-step explanation:

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Can you please help me thanksss!!!!!!!

Allushta [10]

The correct answer is: H.

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3 years ago

What value of x makes this equation true?

Gre4nikov [31]

C no solution because yeah

8 0

3 years ago

Read 2 more answers

Find the equation of a plane that is perpendicular to the vector −4i⃗ −4j⃗ −k⃗ and passing through the point (−2,−5,5)

vredina [299]

hello ....

the equation of a plane that is ; ax+by+cz +d =0

the vector perpendicular to this plane is : V(a,b,c)

in this exercice ; a = -4 b= -4 c = -1

then: the equation of a plane that is ; -4x-4y-z +d =0

but the plane passing through the point (−2,−5,5) :

-4(-2)-4(-5)-(5) +d =0

23+d =0

d =-23

the equation of a plane is : -4x-4y-z-23 =0

5 0

4 years ago

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

The scale of a map says that 8cm represents 5km what is the actual number of kilometers that is represented by 5 centimeters on

galina1969 [7]

Answer:

8 km

Step-by-step explanation:

It is given that, the scale of a map says that 8 cm represents 5 km. We need to find the actual number of kilometers that is represented by 5 centimeters on the map.

8 cm = 5 km

1 cm = (8/5) km

For 5 cm, multiply (8/5) km by 5.

So,

x = 8 km

So, 8 km is represented by 5 centimeters on the map.

8 0

3 years ago