3 years ago

What is an equation of the line that passes through the points (2, 1) and (6,-5)

Mathematics

1 answer:

marusya05 [52]3 years ago

4 0

Answer:

y=-1x+3

Step-by-step explanation:

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A triangle has two sides measuring 16 and 21. The included angle is 116°. What is the length of the side opposite the 116° angle

Crank

Answer:

Length of the side opposite to angle $116^{\circ}$ is 31.49

Step-by-step explanation:

Included angle can be defined as the angle in between two sides of the triangle.

So angle $116^{\circ}$ is in between sides 16 and 21.

Refer to the attachment for triangle diagram.

To find the length of opposite side, use cosine rule as follows

$a^{2}=b^{2}+c^{2}-2\:b\:c\cos\left(A\right)$

From the diagram, $b = 21,c = 16,\angle A=116^{\circ}$

Substituting the values in the formula,

$a^{2}=\left(21\right)^{2}+\left(16\right)^{2}-2\left(21\right)\left(16\right)\cos\left(116\right)$

Simplifying,

$a^{2}=441+256-225792\left(-0.44\right)$

$a^{2}=991.59$

Taking square root on both sides,

$\sqrt{a^{2}}=\sqrt{991.59}$

$a=31.49$

Therefore length of third side is 31.49

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3 years ago

What is the sum of the finite arthemetic series (-10)+0+10+20....+130

Ganezh [65]

That would be 20,30,40,50,60,70,80,90,100,110,120,130. 200,150,300,250
650 + 250 = so the answer would be 900.

4 0

3 years ago

Kelli intends to cut a piece of ribbon 10 2/5 yards long into several pieces, each 1/2 yard long. How many full pieces can she c

denis23 [38]

20 and she will have 4/5 left over

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3 years ago

The area of the base of a cylinder is 75 square ft and the height is 20 ft. Calculate the volume and surface

k0ka [10]

Answer:

volume: 1500 , surface area: 764

Step-by-step explanation:

formula of circle's area

$\pi \: r {}^{2}$

formula of cylinder's surfaces area

$2\pi \: r {}^{2} + 2\pi \: rh$

7 0

3 years ago

Could some one help me please

solmaris [256]

Answer:

Step-by-step explanation:

8 0

3 years ago

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