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igomit [66]
3 years ago
13

A triangle with side lengths of 10, 18, and 30 inches is similar to another triangle. The shortest side of the other triangle ha

s length 3 inches. What is the perimeter, in inches, of the smaller triangle?
Perimeter = 9.5


Perimeter = 10.6


Perimeter = 15.2


Perimeter = 17.4
Mathematics
1 answer:
Dimas [21]3 years ago
6 0

Answer:

wo similar figures have a ratio of 3:5. If 1 side of the smaller figure is 9 ... 12 in. What is the length of LM? x. = 12. 24. A. 13 in. C. 16 in. A. 10 ft. B. 14.4 ft ... How long is the corresponding side of the larger polygon? A. 18 cm. B. 24 cm ... 2. 10. An equilateral triangle has side lengths of 14 inches. Find the altitude of the

Step-by-step explanation:

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Find the area of a quadrilateral ABCD in which AB = 3 cm, BC = 4 cm, CD = 4 cm, DA = 5 cm and AC = 5 cm.
melamori03 [73]

Answer:

6+2\sqrt{21}\:\mathrm{cm^2}\approx 15.17\:\mathrm{cm^2}

Step-by-step explanation:

The quadrilateral ABCD consists of two triangles. By adding the area of the two triangles, we get the area of the entire quadrilateral.

Vertices A, B, and C form a right triangle with legs AB=3, BC=4, and AC=5. The two legs, 3 and 4, represent the triangle's height and base, respectively.

The area of a triangle with base b and height h is given by A=\frac{1}{2}bh. Therefore, the area of this right triangle is:

A=\frac{1}{2}\cdot 3\cdot 4=\frac{1}{2}\cdot 12=6\:\mathrm{cm^2}

The other triangle is a bit trickier. Triangle \triangle ADC is an isosceles triangles with sides 5, 5, and 4. To find its area, we can use Heron's Formula, given by:

A=\sqrt{s(s-a)(s-b)(s-c)}, where a, b, and c are three sides of the triangle and s is the semi-perimeter (s=\frac{a+b+c}{2}).

The semi-perimeter, s, is:

s=\frac{5+5+4}{2}=\frac{14}{2}=7

Therefore, the area of the isosceles triangle is:

A=\sqrt{7(7-5)(7-5)(7-4)},\\A=\sqrt{7\cdot 2\cdot 2\cdot 3},\\A=\sqrt{84}, \\A=2\sqrt{21}\:\mathrm{cm^2}

Thus, the area of the quadrilateral is:

6\:\mathrm{cm^2}+2\sqrt{21}\:\mathrm{cm^2}=\boxed{6+2\sqrt{21}\:\mathrm{cm^2}}

4 0
3 years ago
Which line is a directrix of the hyperbola? A B C D
hoa [83]

Answer:

The hyperbola has two directrices, one for each side of the figure. You can see the hyperbola as two parabolas in one equation. So, as parabolas have directrix, hyperbolas does too.

The directrices are perpendicular to the major axis. That means if the parabolla is horizontal, then its directrices are vertical, and viceversa.

Therefore, to find the right line that forms the directrix of a hyperbola, you just need to use the directrix that is perpendicular to the major axis.

3 0
2 years ago
Are the two triangles congruent?
Katena32 [7]

Answer:

yes.......................

Step-by-step explanation:

8 0
1 year ago
Which expression is equivalent to 4 and exponent 7 times 4 exponent 5 negative
SashulF [63]

Answer:

idk just google it :)

Step-by-step explanation:

1. google the thing

6 0
3 years ago
PLEASE HELP GIVING BRAINLIEST
77julia77 [94]

Answer:

The answer is A)

Step-by-step explanation:

When the plane length increases, the force required gets reduced while the plane height stays the same.

<em>Hope this helps!</em>

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