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aleksley [76]
3 years ago
10

Suppose a triangle has sides a, b, and c, and the angle opposite the side of length a is acute. What must be true?

Mathematics
1 answer:
Ket [755]3 years ago
4 0
3pi/7 < pi/2 because 3/7 < 1/2, and pi/2 is a right angle. Conclusion: the angle opposite side a is an acute angle. In this situation the triangle could be a right triangle, in which case C would be true, but it does not have to be a right triangle, so don´t choose C. Similarly, it could be an acute triangle, in which case B would be true, but it does not have to be, so don´t choose B. Also, A says the angle opposite side a is obtuse, which is false. So don´t choose A. That leaves D, which says the angle opposite side a is acute, which we know is true. So the answer is <span>D. b^2 + c^2 > a^2</span>
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Answer: yes.

Step-by-step explanation:

7 0
2 years ago
8p+8=10+7p what is the solution set
Evgesh-ka [11]
The answer is:  "p = 2" .
______________________________________________________
Explanation:
______________________________________________________
Given:
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  " 8p + 8 = 10 + 7p " ;   Solve for "p" ; 

Subtract "7p" from each side of the equation; & subtract "8" from each side of the equation; as follows:

8p + 8 − 7p − 8 = 10 + 7p − 7p <span>− 8 ; 
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to get: 
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"p = 2 " ;  which is our answer.
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8 0
3 years ago
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Twelve fifths minus three tenths
stiv31 [10]

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Which combination of shapes can be used to create the 3-D figure?
liq [111]

Two regular octagons and eight congruent rectangles are perfect for the creation of 3-D figures.

According to the statement

we have to tell and explain about the types of shapes which are required for the creations of 3-D figure.

For this purpose, Firstly we have to know about the 3-D figures.

So,

A shape is a graphical representation of an object or its external boundary and outline, as opposed to other properties such as color, texture, or material type.

A plane shape is constrained to lie on a plane, in contrast to solid 3-D shapes.

After that we know that the

When the all dimensions of a given shape can be observed at the same time, then its is said to be in a 3-D. However, polygons are shapes which has 3 or mores sides. Examples are: trigon, hexagon, octagon etc.

Thus, since the in the 3-D figure have 8 sides connected which is greater than their width.

This confirms that the sides of the figure made up of eight congruent rectangles, because the 3-D figure has eight regular sides. Then, the height of the figure would be the length of the rectangles.

After that all this condition, Two regular octagons and eight congruent rectangles are perfect for the creation of 3-D figures.

Learn more about creation of 3-D figures here

brainly.com/question/326906

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8 0
1 year ago
The lengths of the sides of a right triangle are a and b, and the hypotenuse is
mamaluj [8]
A^2+b^2=c^2
(2sqrt3)^2+b^2=16
12+b^2=16
solve for b
b=2
Now triangle area is A=1/2 bh
so
A=(1/2)(2)(2sqrt3)
A=2sqrt3
5 0
3 years ago
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