All categories

3 years ago

What is the expression 4c - 3 when c = 2

Mathematics

1 answer:

harkovskaia [24]3 years ago

4 0

The expression -> 4 • 2 - 3
the answer to the expression would be 5

You might be interested in

Answer both with STEPS

Amanda [17]

Answer:

7 )

x = $\frac{3\sqrt{2} }{2}$

$y= 3$

8 )

$x=6\sqrt{6}$

$y= 9\sqrt{2}$

Step-by-step explanation:

7 ) 8)

In Δ ABC In Δ XYZ

∠ C = 45° ∠ X = 60°

∠ A = 90° ∠ Y = 90°

$AC= \frac{3\sqrt{2} }{2}$ $XY= 3\sqrt{6}$

To Find :

x = ?

y = ?

Solution:

We Know

In Δ ABC

∠ C = 45°

∠ A = 90°

∴ ∠ B = 45° ......Angle sum property of a triangle i.e 180°

∴ Δ ABC is an Isosceles Triangle

∴ AC = AB = x = $\frac{3\sqrt{2} }{2}$

Now appplying Trignometry identity we get

$\sin C = \frac{\textrm{side opposite to angle C}}{Hypotenuse}\\\\\sin 45 = \frac{AC}{BC}\\\\\frac{1}{\sqrt{2} } =\frac{\frac{3\sqrt{2} }{2}}{y}\\\\y=\frac{3\times \sqrt{2}\times \sqrt{2} }{2}\\\\y= 3$

Now In Δ XYZ

∠ X = 60°

∠ Y = 90°

∴∠ Z = 30° . .....Angle sum property of a triangle i.e 180°

Now appplying Trignometry identity we get

$\tan X = \frac{\textrm{side opposite to angle X}}{\textrm{side adjacent to angle X}}$

$\tan 60 = \frac{YZ}{XY}\\\\\sqrt{3} =\frac{y}{3\sqrt{6} }\\ y= 3\sqrt{3} \sqrt{6} \\y= 9\sqrt{2}$

Now,

$\sin X = \frac{\textrm{side opposite to angle C}}{Hypotenuse}\\\\\\\sin 60 = \frac{YZ}{XZ}\\ \\\frac{\sqrt{3} }{2} =\frac{9\sqrt{2} }{x} \\\\x=\frac{18\sqrt{2} }{\sqrt{3} } \\\textrm{after fationalizing the denominator root 3 we get}\\\\x=6\sqrt{6}$

8 0

3 years ago

hat is the area of one base of the triangular prism? 24 square units 48 square units 160 square units 200 square units

Tems11 [23]

Answer:

24 a.)

Step-by-step explanation:

the base is a triangle

3 0

2 years ago

What is the measure of LBAC?

ikadub [295]

Answer:

correct answer is 30 degrees

7 0

3 years ago

Read 2 more answers

What is 3.0871212 in fraction

Luda [366]

3 217803/2500000 is 3.0871212 as a fraction

4 0

3 years ago

as part of her shop class, Jules made the figure below out of pieces of wood. how much spave does the figure she made take up?

OlgaM077 [116]

I suppose you want to find the Volume of this Figure.

you can separate it into two rectangular prisms
one that is 6 by 9 by 24
and the other that is 6 by 9 by 30

you multiply the three numbers to get the volume of each rectangular prism.
6 * 9 * 24 = 1296
6 * 9 * 30 = 1620

then we add the two numbers we got to get the overall volume of the figure
1296 + 1620 = 2916

Therefore the Figure takes up 2916 cm^3 of space.

4 0

3 years ago

Read 2 more answers