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DanielleElmas [232]
2 years ago
14

Given that y= 12 cm and θ= 24 °, work out x rounded to 1 DP. (not drawn to scale.)

Mathematics
1 answer:
padilas [110]2 years ago
5 0

Answer:

\huge\boxed{\sf x = 5.3}

Step-by-step explanation:

<h3><u>Given:</u></h3>

y = 12 cm

θ = 24°

Using trigonometric ratio, tan.

\displaystyle \boxed{tan \theta = \frac{opposite}{adjacent} }\\\\tan \ 24 = \frac{x}{12} \\\\0.445 = \frac{x}{12} \\\\Multiply \ 12 \ to \ both \ sides\\\\0.445 \times 12 = x\\\\5.3 = x\\\\x = 5.3\\\\\rule[225]{225}{2}

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The set of points P(0, 3), Q(2, 0), R(4, -3) are collinear and the line has a slope of _____.
vampirchik [111]

Answer:

slope = -1.5

Step-by-step explanation:

A set of three or more points are said to be collinear if they all lie on the same straight line.

We have been given the following collinear set of points;

P(0, 3), Q(2, 0), R(4, -3)

This implies that P, Q, and R lie on the same line.

The slope of a line is defined as; (change in y)/(change in x)

Using the points P and Q, the slope of the line is calculated as;

(0-3)/(2-0) = -3/2 = -1.5

7 0
3 years ago
Read 2 more answers
Pamelas age is 3 times Jiris age. The sum of their ages is 96. What is Jiris age?
LiRa [457]

Answer:

32

(32 x 3 ) 96

(96 divided by 3) 96

Step-by-step explanation:

tell me if this isnt right and report it, i want u to get it right. :)

8 0
3 years ago
Read 2 more answers
Simplify the equation. x/(x-4 )+ 4/(x-4 )
ANTONII [103]

Answer:

x+4/x-4

Step-by-step explanation:

=x/(x-4)+4/(x-4) [ l.c.m= (x-4)]

=x+4/x-4

6 0
3 years ago
Which statistic is a measure of how data are dispersed in a population and can be used to give context to larger data sets
OLEGan [10]

Answer:

standard deviation

Step-by-step explanation:

The standard deviation is defined as the measure of how spread out the numbers are in a given population. In other words, statistics refers to the amount of the dispersion or variation of a set of given values.

It is denoted by the Greek letter sigma, σ.

Thus the standard deviation is the measure of how dispersed the data are in the population which can be used to provide context to a larger data sets.

7 0
3 years ago
A recipe for 8 servinfs of pudding clls for 2 cups of milk.How many gallons of milk are needed to make enough pudding for 64 ser
I am Lyosha [343]
In order to solve this, we first need to know what the ratio of servings of pudding to cups of milk is. We can see that 8 servings of pudding requires 2 cups of milk, so the ratio is 8/2, which can be reduced to 4/1. This means that for every 4 servings of pudding, we will be adding 1 cup of milk. So all we need to do to find out how many cups would be needed for 64 servings of pudding, we simply need to divide by 4.

64 / 4 = 16

So for 64 servings of pudding, we will need 16 cups of milk. But that's not what the question wants to know, it wants to know how many gallons of milk it would need. 

In order to find that out, we have to know how many cups there are in one gallon. There are 2 cups in one pint, there are 2 pints in a quart, and there are 4 quarts in a gallon, so we just have to multiply those numbers, and we get 4 * 2 * 2 = 8 * 2 = 16

There are 16 cups in one gallon, therefore, 64 servings of pudding will require 1 gallon of milk.
Hope that helped! =)
7 0
3 years ago
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