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Vikki [24]
3 years ago
12

There are 16 books on a shelf. 7 of these books are new. (a) What is the ratio of new books to used books? (b) What is the ratio

of all books to used books?
Mathematics
2 answers:
777dan777 [17]3 years ago
4 0
The answers are
a. 7:9
b. 16:7
ELEN [110]3 years ago
4 0
7 out of the 16 books are new, so 9 of them are used. 

7:9 is the ratio of new books to old books. 
16:9 is the ratio of all books to used books. 

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in a right triangle, the 58cm hypotenuse makes a 51 angle with one of the legs. rounded to two decimals places, how long is that
ser-zykov [4K]

Answer:

36.50

To two decimal places

Step-by-step explanation:

The hypothenuse side in a right angle triangle has 58cm. While the angle touching one of its leg is 51°. How long is that leg.

From the right angled triangle, the size of the leg touching the hypothenuse is the adjacent side of the triangle, hence in trigonometry, the cosine rule is used, because it involves the adjacent and the hypotenuse.

Cos 51°=x/58

Let the size of the leg be x

Making x the subject

x=58(Cos51°)

x=36.500058

Correct to two decimal place

x=36.50

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3 years ago
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sdas [7]

Answer:

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Step-by-step explanation:

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7 0
3 years ago
What is the equation of a line parallel to y=1/2×+6 that passes through (-4,1)
IgorC [24]

keeping in mind that parallel lines have exactly the same slope, let's check for the slope of the equation above

y = \stackrel{\stackrel{m}{\downarrow }}{\cfrac{1}{2}}x+6\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}

so we're really looking for the equation of a line whose slope is 1/2 and passes through (-4 , 1)

(\stackrel{x_1}{-4}~,~\stackrel{y_1}{1})\hspace{10em} \stackrel{slope}{m} ~=~ \cfrac{1}{2} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{1}=\stackrel{m}{ \cfrac{1}{2}}(x-\stackrel{x_1}{(-4)}) \\\\\\ y-1=\cfrac{1}{2}(x+4)\implies y-1=\cfrac{1}{2}x+2\implies y=\cfrac{1}{2}x+3

5 0
2 years ago
PLZ HELP 13+points iIF U HELP AND ILL MAKE U BRAINLIEST IF RIGHT!!!PLZ and explaine
dedylja [7]

Answer:

A. Picking a red rose from a vase with two red, two pink, two yellow, and two white roses.

Step-by-step explanation:

In this option, there are equal parts of each flower. 2 of each: pink, red, yellow, and white. There is an equal chance (25% [a quarter of one hundred percent]) that you will pick a red, pink, yellow, or white rose.

8 0
3 years ago
Which equation results from adding the equations in this system? Negative 2 x + y = 8. 5 x minus y = negative 5.
skad [1K]

Answer:

x= 1.75 y= 6.75

Step-by-step explanation:

substitution method

3 0
3 years ago
Read 2 more answers
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