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4 years ago

Which point is located at (-6, - 3) a b c or d

Mathematics

1 answer:

Kamila [148]4 years ago

5 0

D is located at (-6, -3)!

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In a right triangle where one of the angles measure 30° what is the ratio of the length of the side opposite the 30°angle to the

kifflom [539]

Answer:

The ratio of the length of the side opposite the 30°angle to the length of the side opposite the 90°angle is 1:2.

Step-by-step explanation:

Consider ABC, With 90° angle at B and 30° angle at C.

To find: AB:AC=?

Solution:

AB = perpendicular of the right angled triangle

AC = Hypotenuse of the triangle

$Sin\theta =\frac{Perpendicular}{Hypotenuse}$

$sin\theta =Sin 30^o=\frac{AB}{AC},(Sin 30^o=\frac{1}{2})$

$\frac{1}{2}=\frac{AB}{AC}$

The ratio of the sides ,AB:AC = 1:2.

Hence,the ratio of the length of the side opposite the 30°angle to the length of the side opposite the 90°angle is 1:2.

3 0

3 years ago

Kaitlin will donate up to $460 to charity. The money will be divided between two charities: the City Youth Fund and the Educatio

Ganezh [65]

Answer:

The question states "up to $460" in charity, which means it can be less than or equal to 460, but not any higher. Then,

$460 to charity (max)

$160+ to Educational (160 being the minimum)

Education is 3x (or higher) than City.

If we denote x to City, and y to Educational, then,

x + y = 460 . And we know that y >= 3x

x + 3x = 4x = 460

x = 115. This means when she donates $115 to City, she will donate 3x (or $345) to Educational. These are the max values; she will not donate higher than $460.

A minimum requirement was placed on Educational earlier. When y = 160, x will be y/3, or $53.34. (This isn't very meaningful, but: This means she donated 213.34, which is still less than $460)

Therefore, x (which is City) can be the range of $53-ish dollars (depending on your region/graph) but no higher than $115.

y (which is Educational) will be as low as $160, but no higher than $345.

Hope this helps

5 0

3 years ago

When Rashaad goes bowling, his scores are normally distributed with a mean of 175

nikdorinn [45]

Answer:

The interval (162, 188)would represent the middle 68% of the scores of all the games that Rashaad bowls.

Step-by-step explanation:

As per the empirical rule of normal distribution, for any normally distributed curve, the values lie between the extreme values i.e

(μ - σ) and (μ + σ).

Given

μ = 175

σ = 13

(μ - σ) = 175 -13 = 162

(μ + σ) = 175 + 13 = 188

Hence the required interval is 162, 188

3 0

3 years ago

2. Solve 3(x – 4) = 12x.

lakkis [162]

Answer:

x= - 1 1/3

thanks

7 0

2 years ago

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You want to place a towel bar that is 24 1⁄4 centimeters long in the center of a door that is 70 1⁄3 centimeters wide.

Ipatiy [6.2K]

Answer: 23 1/24 CM.

-- I hope you stay safe and extra healthy. Don't let those annoying hands of yours touch your germ-free face! Make sure to wash your hands extra this time and use a lot of PURELL, just, don't dry your hands out, so, make sure you have enough hand lotion. Hope this helped! (Also, masks are great! Don't use gloves because you put germs on the gloves, then, when you take them off, you touch the germs that were on your gloves.)

~ Mattie

8 0

3 years ago

Which point is located at (-6, - 3) a b c or d​

Which point is located at (-6, - 3) a b c or d