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kondor19780726 [428]
3 years ago
13

Identify the distance between points (−3,−6,7) and (−9,5,−4), and identify the midpoint of the segment for which these are the e

ndpoints. Round to the nearest tenth, if necessary.
Mathematics
2 answers:
melisa1 [442]3 years ago
4 0

Step-by-step explanation:

LET THE Point 1 A and point 2 is B

(AB) ^2=(-9-(-3))^2+ (5-(-6))^2+(-4-7)^2=278

AB=16.67 length unit

Midpoint

X=-9-3/2 =-6

Y=5-6/2=-0.5

Z=-4+7/2=-1.5

Lynna [10]3 years ago
3 0

Answer:

d ≈ 16.7 units; M (−6, −0.5, 1.5)

Step-by-step explanation:

Got a lucky guess on my quiz.

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Leto [7]

Answer:

W = 4.95

Step-by-step explanation:

You want to start by writing down what you know, and forming a system of equations.

L= length W= width

2L+2W=14.7    

L= 2.4

On the left side of the equation, you're adding all your side lengths, and on the right, is the total perimeter. (Also could be written L+L+W+W = 14.7)

You would then substitute L from the bottom equation into the top equation to get:

2(2.4) +2W=14.7

Solving:

4.8+2w=14.7

W= 4.95

To check your answer simply add all the sides together and make sure it equals your perimeter. You can also plug W and L back into the original equation.

7 0
3 years ago
Besides the 90° angle measure, what are the other two angle measures of a right triangle with side lengths 5, 12, and 13? Round
TEA [102]
In the right triangle, the longest side is the hypotenuse.
Let α be the angle opposite to the side with a length of 12 units, <span>then according to the Law of sines:

</span>\frac{13}{sin90^o}= \frac{12}{sin \alpha }   \ \ \to \ \ sin \alpha = \frac{12 \cdot sin90^o}{13}=  \frac{12*1}{13}  \approx 0.923 \ \ \to \ m\angle  \alpha \approx 67^o

In a triangle, the three interior angles always add to 180° ⇒

third angle = 180 - 90 - 67 = 23°

Answer:
67° and 23°  (to the nearest degree).
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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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