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3 years ago

Someone help fasttttt

Mathematics

2 answers:

Dvinal [7]3 years ago

4 0

Maybe 44 because 180-136=44

bulgar [2K]3 years ago

4 0

Answer:

D. 44 degrees

Step-by-step explanation:

angle 3: 180-136 = 44 degrees

Because angle 7 is congruent to angle 3, angle 7 is also 44 degrees

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Erik drives 19.2 miles in 16 minutes.

Katen [24]

Answer:

Erik's average speed exceeds the speed limit by 6.91 miles per hour.

Step-by-step explanation:

Let suppose that Erik travels at constant speed. Hence, the speed ( $v$ ), measured in miles per hour, is determined by following equation of motion:

$v = \frac{s}{t}$ (1)

Where:

$s$ - Distance, measured in miles.

$t$ - Time, measured in hours.

Please notice that a hour equals 60 minutes. If we know that $s = 19.2\,mi$ and $t = 0.267\,h$ , then the speed of Erik is:

$v = \frac{19.2\,mi}{0.267\,h}$

$v = 71.910\,\frac{mi}{h}$

Which is 6.91 miles per hour above the speed limit.

6 0

2 years ago

Suppose you are given a cube made of magnesium (mg) metal of edge length 2.15 cm. (a) calculate the number of mg atoms in the cu

SVETLANKA909090 [29]

solution:

a) To calculate the volume of cube of edge 1.0cm

Volume= (edge)³

=(100cm) ³

= 1cm³

To find the mass of MG atoms

Density = mass/volume

Mass of mg = 1.74g/cm³ x 1cm³

= 1.74g

To find the number of mg atoms,

Molar mass of mg = 24.31g

24.31g mg contain 6.022 x 10²³ atoms of mg

1.74g mg contain = 6.022 x 10²³mg atoms/24.31g mg x 1.74g mg

= 0.4310 x 10²³mg atoms

= 4.31 x 10²² mg atoms

B) to find the volume occupied by mg atoms

Total volume of cube = 1 cm³

Volume occupied by mg atoms

= 74% of 1cm³

=74/100 x 1cm³= 0.74cm³

To find the volume of 1 mg atom

4.31 x 10²² mg atoms occupy 0.74 cm³

1 atom will occupy 0.74cm³

1 atom will occupy = 0.74cm³/4.31 x 10²²mg atoms x 1mg atom

volume of 1 mg atom = 0.1716 x 10⁻²²cm²

Volume of 1 mg atom = 4/3 π³ in the form of sphere.

4/3πr³ = 0.1716 x 10⁻²²cm³

R³ = 0.1716 x 10⁻²²cm³x 4/3 x 7/22

R³ = 0.04095 x 10⁻²²cm³

R = 0.1599 x 10⁻⁷cm

1 = 10⁻¹⁰cm

= 0.1599 x 10⁻⁷cm

= 1pm/1 x 10⁻¹⁰cm x 0.1599 x 10-7cm

= 1.599 x 10² pm

R= 1.6 x 10²pm

3 0

2 years ago

The diagram shows a 3 cm x 5 cm x 4 cm cuboid

Rainbow [258]

Answer:

a) The length of segment AC is approximately 5.83 centimeters.

b) The angle ACD is approximately 34.5º.

Step-by-step explanation:

a) Since $AB \perp BC$ , the length of segment $AC$ is determined by Pythagorean Theorem, that is:

$AC = \sqrt{(5\,cm)^{2}+(3\,cm)^{2}}$

$AC \approx 5.831\,cm$

The length of segment AC is approximately 5.831 centimeters.

b) Since $AB \perp BC \perp AD$ , the length of segment $AD$ is determined by this Pythagorean identity:

$AD = \sqrt{(3\,cm)^{2}+(5\,cm)^{2}+(4\,cm)^{2}}$

$AD \approx 7.071\,cm$

The angle ACD is determined by the following trigonometric expression:

$\cos C = \frac{AC}{CD}$

$\cos C = \frac{5.831\,cm}{7.071\,cm}$

$\cos C = 0.825$

$C = \cos^{-1} 0.825$

$C \approx 34.448^{\circ}$

The angle ACD is approximately 34.448º.

4 0

2 years ago

0.5x + 6 > 3<br> I don’t know how to solve

Advocard [28]

Answer:

x > -6

Step-by-step explanation:

Move 6 to the other side:

0.5x > -3

x > -6

3 0

3 years ago

I really need help with this question!

ololo11 [35]

Same as all the other ones like this.

Since the two figures are similar . . .

-- The ratio of of their volumes is R³ .

-- The ratio of their surface areas is R² .

-- The ratio of their dimensions is R .

So R³ is 729 / 2744 .

Take the cube root of that and you'll have R .

Then square R and you'll have the ratio of their surface areas.

5 0

3 years ago