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2 years ago

What is the solution to the equation?

Mathematics

1 answer:

Fudgin [204]2 years ago

6 0

Answer:

14/5

Step-by-step explanation:

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write an equation in slope intercept form satisfying the given equation : The line passes through (3,-8) and is parallel to the

nordsb [41]

Slope of the given line = 4
slope of the req. line = 4
equation of the line
y - y1 = m(x - x1)
y + 8 = 4(x - 3)
y + 8 = 4x - 12
4x - y - 12 - 8 = 0
4x - y - 20 = 0

8 0

2 years ago

If AB = 4 centimeters, which is closest to BC?

Misha Larkins [42]

Answer:

The correct answer AC = 11.52

Step-by-step explanation:

From the figure attached with this answer shows the triangle ABC.

BC=4 centimeters, m angle B=m angle c, and m angle a = 20 degrees

To find AC

From the figure we can see that D is the mid point and AD⊥BC

Then BD = CD = 4/2 = 2 cm

<BAD = 10° and <CAD = 10°

By using trigonometric ratio,

sin 10 = CD/AC = 2/AC

AC = 2/sin 10 = 2/0.1736 = 11.52

Therefore the value of AC = 11.52 cm

4 0

2 years ago

Read 2 more answers

Find the surface area. Round your answer to the nearest hundredth

Readme [11.4K]

Answer: $569.91\ ft^2$

Step-by-step explanation:

From the given picture, the radius of the base of the cylinder = 5.5 ft.

The height of the cylinder = 5 ft.+6 ft.=11 ft.

We know that the surface area of a cylinder is given by :-

$\text{Surface Area}=2\pi r (r+h)\\\\\Rightarrow\text{Surface Area}=2(3.14)(5.5)(5.5+11)\\\\\Rightarrow\text{Surface Area}=569.91\ ft^2$

Hence, the surface area of the given cylinder = $569.91\ ft^2$

6 0

3 years ago

Read 2 more answers

The measure of an angle is 117°. What is the measure of a supplementary angle?

ELEN [110]

Answer:

63°

Step-by-step explanation:

Supplementary angles add up to 180°

So the answer would be 180-117 = 63

6 0

2 years ago

A parallelogram has sides 10m and 12m and an angle of 45°. Find the distance between the 12m-sides.

stich3 [128]

Answer:

The distance between 12m-sides is $5\sqrt{2}m$ .

Step-by-step explanation:

It is given that the parallelogram has sides 10m and 12m and an angle of 45°.

Draw an altitude from one 12m side to another 12 m side as shown in below figure.

The opposite angles of parallelogram are same. Two angles are obtuse angles and two are acute angle.

Since angle C is acute angle therefore it must be 45 degree.

$\sin\theta=\frac{perpendicular}{hypotenuse}$

$\sin C=\frac{BE}{BC}$

$\sin(45^{\circ})=\frac{d}{10}$

$\frac{1}{\sqrt{2}}=\frac{d}{10}$

$\frac{10}{\sqrt{2}}=d$

$\frac{10}{\sqrt{2}}\times \frac{\sqrt{2}}{\sqrt{2}}=d$

$\frac{10\sqrt{2}}{2}=d$

$5\sqrt{2}=d$

Therefore the distance between 12m-sides is $5\sqrt{2}m$ .

4 0

2 years ago