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Mashcka [7]
3 years ago
9

.

Mathematics
2 answers:
mrs_skeptik [129]3 years ago
8 0

Answer:

x ≈ 43.3°

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos x = \frac{adjacent}{hypotenuse} = \frac{8}{11} , then

x = cos^{-1} (\frac{8}{11} ) ≈ 43.3° ( to 1 dec. place )

Anastasy [175]3 years ago
8 0
B° = x so refer that syllable to x

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Given the points P(2,-1) and Q(-9,-6), what are the coordinates of the point on directed line segment PQ that partitions PQ in t
gayaneshka [121]

ANSWER

( -  \frac{23}{5} , - 4)

EXPLANATION

Given the points P(2,-1) and Q(-9,-6),the coordinates of the point that partition the directed line segment PQ in the ratio 3:2 is given by

x = \frac{ mx_2+nx_1}{m + n}

y= \frac{ my_2+ny_1}{m + n}

Where m=3 and n=2

x = \frac{ 3 ( - 9)+2(2)}{3+ 2}

x = \frac{  - 23}{5}

y= \frac{ 3( - 6)+2( - 1)}{3 + 2}

y= \frac{  - 20}{5}  =  - 4

The point is

( -  \frac{23}{5} , - 4)

4 0
3 years ago
Plums are 6 for $1.50, and a sign by the apples that are 5 for $3.00. What is the total cost of buying 2 plums and 2 apples?
Doss [256]

Answer:

The answer is $1.70

Step-by-step explanation:

If 6 plums are $1.50 you would divide $1.50 by 6 to get the unit cost, $.25. Then you do the same thing for the apples. $3.00 divided by the 5 apples is $.60. Now you need to multiply both unit costs by 2 then add them together to get $1.70

(plums)  $1.50 / 6 = .25

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$1.20 + .50 = $1.70

Hopefully I could help!!

4 0
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Consider the following incomplete deposit slip: Description Amount ($) Cash, including coins 150 75 Check 1 564 81 Check 2 2192
ololo11 [35]
Given that following incomplete deposit slip:

<span>Description                    Amount ($)

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Subtotal                       $7,772.00

Less cash received       ($721.50)

Total                             $7,050.50

Therefore, the amount of cash the person who filled out this deposit slip received is $721.50
</span>
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