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Alecsey [184]
2 years ago
13

9

Mathematics
1 answer:
ale4655 [162]2 years ago
5 0

Answer:

A: 10,000 residents to 25 police officers

Step-by-step explanation:

400*25=10,000

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Did ancient mathematicians use a ruler to determine the values of sine and cosine in a circle?
12345 [234]

They didn’t use a ruler I think they made their own materials from what they had. Also thank you.

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3 years ago
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find the smaller of 2 consecutive integers,x, if the sum of the smaller and 6 times the larger is -29
AnnyKZ [126]

Answer:-  The smaller integer is -5.


Explanation:-

Let the first consecutive integer be x and the second consecutive integer be x+1.

According to the given question:-

x+6(x+1)= -29

⇒x+6x+6= -29   [distributive law]

⇒x+6x= -29-6    [subtract 6 on the both sides]

⇒7x= -35      [combining like terms ]

⇒x= -5          [dividing 7 on both sides]

Thus the smaller integer =x= -5

larger integer =x+1= -5+1= -4

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3 years ago
Please Hurryyy
Helga [31]

The measure of angle J is 19.8°, and the correct option is D.

<h3>What is the formula of cosine?</h3>

The law of cosine or cosine rule in trigonometry is a relation between the side and the angles of a triangle. Suppose a triangle with sides a, b, c and with angles cosC.

The following formula is used to find the angle j is;

\rm j^2 = h^2 + i^2 -2hicosC

Triangle HIJ has side lengths h=12, i = 17, j = 7.

Substitute all the values in the formula;

\rm j^2 = h^2 + i^2 -2hicosJ\\\\(7)^2=(12)^2+(17)^2-2 \times 12 \times 17 cosJ\\\\49=144+289-408cosJ\\\\144+289 -49 =408cosJ\\\\384 =408cosJ\\\\cosJ=\dfrac{384}{408}\\\\cosj = 0.94\\\\J =cos^{-1}(0.94)\\\\J=19.8

Hence,  the measure of angle J is 19.8°, and the correct option is D.

Learn more about law cosine here;

brainly.com/question/17289163

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On Monday John bought 7 apples. On Tuesday he bought 3 times as many apples as he did on Monday. How many apples did John buy on
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He brought 21 apples.
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Jordan is driving to a concert and needs to pay for parking. There is an automatic fee of $11 just to enter the parking lot, and
Mashcka [7]

Answer:

11+(2×4)

11+8

$19....

7 0
3 years ago
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