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3 years ago

I need help asap:

Mathematics

1 answer:

lisov135 [29]3 years ago

5 0

Answer:

79.4° to the nearest tenth of a degree

Step-by-step explanation:

You are trying to find the angle opposite the side of length 27.

Let the length of that side be c and a and b be the lengths of the other two sides and let C be the measure of the angle you are looking for

Using the law of cosines

$c = \sqrt{a^{2} + b^{2} - 2abcos C}$

$27 = \sqrt{19^{2} + 23^{2} - 2(19)(23)cosC}$

$27^{2} = 19^{2} + 23^{2} - 2(19)(23)cosC$

729 = 361 + 529 - 874cosC

729 = 890 - 874cosC

-161 = -874cosC

-161/-874 = cosC

.1842105.... = cosC

C = arccos .1842105.... = 79.4° to the nearest tenth of a degree

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Factorise x(6x - 5y) - 4(6x - 5y)^2

Fed [463]

Answer:

(6x-5y)(20y-23x)

Step-by-step explanation:

x(6x - 5y) - 4(6x - 5y)^2

= (6x-5y)(x-4(6x-5y))

= (6x-5y)(x-24x+20y)

= (6x-5y)(20y-23x)

5 0

3 years ago

Choose the best answer:

Oksi-84 [34.3K]

Answer:

The length of the hypotenuse is 2 square root of 13 ⇒ c

Step-by-step explanation:

The rule of the area of the right triangle is A = $\frac{1}{2}$ × leg1 × leg2, where

leg1 and leg2 are the sides of the right angle

∵ The area of a right triangle is 12 in²

∵ The ratio of the length of its legs is 2: 3

→ Let leg1 = 2x and leg2 = 3x

∵ leg1 = 2x and leg2 = 3x

→ Substitute them in the rule of the area above

∴ 12 = $\frac{1}{2}$ × 2x × 3x

∵ 2x × 3x = 6x²

∴ 12 = $\frac{1}{2}$ × 6x²

∴ 12 = 3x²

→ Divide both sides by 3 to find x²

∴ 4 = x²

→ Take √ for both sides

∴ x = 2

→ Substitute x in the expressions of leg1 and leg2 to find them

∴ leg1 = 2(2) = 4 inches

∴ leg2 = 3(2) = 6 inches

∵ hypotenuse = $\sqrt{(leg1)^{2}+(leg2)^{2}}$

∴ hypotenuse = $\sqrt{(4)^{2}+(6)^{2}}=\sqrt{16+36}=\sqrt{52}$

∵ The simplest form of $\sqrt{52}$ = 2 $\sqrt{13}$

∴ The length of the hypotenuse = 2 $\sqrt{13}$ inches

3 0

2 years ago

Convert to standard form.<br> y-5=-3(x+2)

Paul [167]

Answer:

Step-by-step explanation:

y-5=3(x+2)

y-5=3x+6

y-5-6=3x+6-6

y-1=3x

7 0

3 years ago

Need some help with this one please

Airida [17]

Answer: Choice A

y = (-3/4)(x + 4) + 6

=====================================================

Let's go through the answer choices

Choice A is something we'll come back to
Choice B is false because the line does not go uphill as we move from left to right. The graphed line has a negative slope, which contradicts what choice B is saying.
Choice C is false for similar reasons as choice B. The slope should be negative.
Choice D has a negative slope, but the y intercept is wrong. The y intercept should be 3. So choice D is false as well.

We've eliminated choices B through D.

Choice A must be the answer through process of elimination.

------------

Here's an alternative method:

If we started at a point like (0,3) and move to (4,0), note how the slope is -3/4

This is because we've moved down 3 units and to the right 4 units.

m = slope = rise/run = -3/4

We can also use the slope formula m = (y2-y1)/(x2-x1) to see this.

Then we pick on a point that is on the diagonal line. It could be any point really, but the point your teacher used for choice A is (x1,y1) = (-4,6)

So,

y - y1 = m(x - x1)

y - 6 = (-3/4)(x - (-4))

y - 6 = (-3/4)(x + 4)

y = (-3/4)(x + 4) + 6

7 0

3 years ago

Katherine baked a round cake that is 9 inches in diameter. She wants to decorate the cake by putting a piece of ribbon around th

kaheart [24]

Answer:

28.26 inches long of ribbon

5 0

3 years ago

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