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dimaraw [331]
2 years ago
5

What is the distance between points N and M?

Mathematics
2 answers:
Ira Lisetskai [31]2 years ago
4 0

Answer:

B. 5.8

Step-by-step explanation:

When you do the Pythagorean theorem, you would set 5 as a and 3 as b.

Square both sides and add to get 34

You then take the square root of that to find c which would be 5.8

frez [133]2 years ago
3 0

Answer:

Answer B is closest:  5.8 units

Step-by-step explanation:

Points M and N appear to lie in the same plane, so this problem is a 2-dimensional one.  The distance along the x axis from N to the origin is 5 units and that along the y axis from the origin to M is 3 units.  We apply the Pythagorean Theorem, as follows:

d = √(3² + 5²), or

d = √34, which is approximately 5.83 units.  Answer B is closest:  5.8 units.

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Both figures always have four sides

8 0
3 years ago
John weighs three times as much as Karen. Two times John's weight plus Karen's weight is 875 pounds. How much does John weigh? H
Leokris [45]

Answer:

John- 375

Karen- 125

Step-by-step explanation:

Answer 1...

j =3k

2j + k = 875

substituting the first eqn into the 2nd

2(3k) + k = 875

6k+ k =875

7k = 875

k =875/7 =125

thus j = 3(125) =375

3 0
2 years ago
Read 2 more answers
Jack looks at a clock tower from a distance and determines that the angle of elevation of the top of the tower is 40°. John, who
zmey [24]

Answer:

18.7939 m

Step-by-step explanation:

-Let x be the distance between John and clock tower.

-Let y be the vertical distance from the eyes of the two men  standing to the top of the clock tower.

#Taking the right triangle ACD:

\Tan \ theta=\frac{Perpendicular \ Height}{Base}\\\\Tan \ 60\textdegree=\frac{y+1.5}{x}\\\\y=x \ Tan \ 60\textdegree -1.5

#Taking the right triangle ABD:

\Tan \ theta=\frac{Perpendicular \ Height}{Base}\\\\Tan \ 40\textdegree=\frac{y+1.5}{x+20}\\\\y=(x+20)\ Tan \ 40\textdegree -1.5

#We equate the two yo solve for x and y;

(x+20)\ Tan \ 40\textdegree -1.5=x\ Tan \ 60\textdegree -1.5\\\\(x+20)\ Tan \ 40\textdegree=x\ Tan \ 60\textdegree\\\\0.8391x+16.7820=1.7321x\\\\x=18.7939

Hence, John's distance from the tower's base is 18.7939 m

8 0
3 years ago
What is the sum of 3 3/4 + 1 1/2=?
Gnesinka [82]

You need to find the least common denominator first which is 4. 3 3/4 can stay the same but you must have like denominators to add so change 1 1/2 to 1 2/4 by multiplying by 2/2. You know have like denominators and you can add whole numbers first 3+1=4 and then the fractions 3/4+2/4= 5/4 which is also 1 1/4. Now you add 4 so your answer is 5 1/4

5 0
3 years ago
James buys 2 4/5 kilograms of red potatoes. He buys yellow potatoes that weigh 3/4 as much as the red potatoes.
Illusion [34]

Answer:

Step-by-step explanation:

2 4/5 kg” would equal as a whole number 14/5 kgs, or 2.8, divided by 3/4’s would be 2.1 kgs.

As a mixed number there would be 2 1/10’s.

2 1/10.

8 0
2 years ago
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