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3 years ago

What is the value of n?

Mathematics

1 answer:

beks73 [17]3 years ago

3 0

Intersecting chords are chords that intersect one another at a point

The value of n is -18

<h3>How to determine the value of n</h3>

Using the intersecting chord theorem, we have:

$\frac{7}{n + 4} = \frac{5}{n + 8}$

Cross multiply

$7n + 56 = 5n + 20$

Collect like terms

$7n - 5n =20 - 56$

Evaluate the differences

$2n =-36$

Divide through by 2

$n = -18$

Hence, the value of n is -18

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If the shadow of a tree is 14 m long and the shadow of a person who is 1.8 m tall is 4 m long, how tall is the tree?

tigry1 [53]

Ratio and proportion

real:shadow

so the person is 1.8m but the shadow is 4m
so
real:shadow=1.8:4

so
1.8:4=?:14
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the tree is 6.3 m tall

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3 years ago

Kyle read 3 5/6 books and Jan read 2 1/3 books. How many more books did Kyle read than Jan?

eimsori [14]

Answer:

3 5/6 = 3 10/12

2 1/3= 2 4/12

3-2=1

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3 years ago

Read 2 more answers

Someone please help me answer this

WARRIOR [948]

The given triangle is a Right angled triangle 

So, by applying Pythagoras theorem :

here's the solution,

=》

$13 {}^{2} = b {}^{2} + 5 {}^{2}$

=》

${b}^{2} = 13 {}^{2} - {5}^{2}$

=》

${b}^{2} = 169 - 25$

=》

${b}^{2} = 144$

=》

$b = \sqrt{144}$

=》

$b = 12$

value of b = 12 yards

5 0

3 years ago

Fancy goldfish x cost $3 each and common goldfish y cost $1 each.Graph the function y=20-3x to determine how many of each type o

aniked [119]

The pairs of goldfish Tasha can buy for $20 are $(0,20), (1,17), (2,14),$

$(3,11),(4,8),(5,5),and (6,2)$

Step-by-step explanation:

To find the how many type of goldfish that Tasha can buy for $20 is the set of positive ordered pairs.

Let x denote the number of fancy goldfish.

Let y denote the number of common goldfish.

To find how much goldfish can Tasha buy for $20 is to substitute the value for x in the equation $y=20-3x$

Now, substituting $x=0$ in $y=20-3x$ , we get,

$y=20$

The ordered pair is $(0,20)$

Similarly, substituting $x=1$ ,

$y=20-3(1)\\y=20-3\\y=17$

For $x=2$ ,

$y=20-6\\y=14$

For $x=3$ ,

$y=20-9\\y=11$

For $x=4$ ,

$y=20-12\\y=8$

For $x=5$ ,

$y=20-15\\y=15$

For $x=6$ ,

$y=20-18\\y=2$

Thus, the pairs of goldfish Tasha can buy for $20 are $(0,20), (1,17), (2,14),$ $(3,11),(4,8),(5,5),and (6,2)$

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3 years ago

Maximize x and y. P=3x +2y

Natalka [10]

P = 3x + 2y

There is an accompanying graph in this problem. In the graph, there are 4 points to consider. I'll just assign letters on each point.

Point O is found in x = 0 ; y = 0 or (0,0)

Point A is found in x = 8 ; y = 0 or (8,0)

Point B is found in x = 6 ; y = 5 or (6,5)

Point C is found in x = 0 ; y = 8 or (0,8)

We will substitute x and y in the equation by its values per point.

Point A = 3(8) + 2(0) = 24 + 0 = 24

Point B = 3(6) + 2(5) = 18 + 10 = 28

Point C = 3(0) + 2(8) = 0 + 16 = 16

The maximum value of the function P = 3x+2y is 28 and its minimum value is 16.

6 0

2 years ago