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Misha Larkins [42]
3 years ago
5

Find the number of triangles with c =7, b=11, and B=21 degrees

Mathematics
1 answer:
muminat3 years ago
6 0
<h3>Answer:</h3>

1

<h3>Step-by-step explanation:</h3>

The given angle is opposite the longest given side, so there will be exactly one solution.

_____

The number of solutions may be 0, 1, or 2 when the given angle is opposite the shortest given side.

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Harrizon [31]

Answer:

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2 years ago
Determine the area of the composite figure to the nearest whole number.
olya-2409 [2.1K]

Step-by-step explanation:

Area of rectangle= l×b

= 4cm×6cm

= 24cm²

Area of circle. = πr²

radius of circle = diameter÷2=6÷2=3cm

Area of circle. = 3.14×3²=3.14×9

Area of circle. = 28.26cm²

area \: of \: composite \: figure = area \: of \: circle \:  + area \: of \: rectangle

Area of........... = 28.26cm²+24cm²

= 52.26cm²

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7 0
2 years ago
Read 2 more answers
Find the exact length of the third side.
malfutka [58]

Answer:

5sqrt3

Step-by-step explanation:

Using the pythagorean theorem, we have a^2+4^2=9^2

a^2 + 16 = 81

a^2 = 75.

a = sqrt75.

75 = 25*3. 25 is a perfect square, so sqrt75 = 5sqrt3

6 0
2 years ago
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The venticles of a right angle are a[0,4], b[3,-2] c[-3, -4] Find It's area.​
givi [52]

Answer:

The area of this triangle is about 21.2132 square units.

Step-by-step explanation:

First, find the lengths of the legs AB and BC.

Length of AB ===

Find the difference in position vertically:

-2-4=-6

The points are 6 units apart vertically.

Find the difference in position horizontally:

3-0=3

The points are 3 units apart horizontally.

These lengths form a right triangle with the distance between the points as the hypotenuse, so you can use the pythagorean theorem to solve:

a^2+b^2=c^2\\3^2+6^2=c^2\\9+36=c^2\\45=c^2\\c\approx6.7082

AB is about 6.7082 units long.

Length of BC ===

Same process as above.

Find the vertical distance:

-4--2=-2

2 units apart vertically.

Find the horizontal distance:

-3-3=-6

6 units apart horizontally.

Use the pythagorean theorem:

2^2+6^2=c^2\\4+36=c^2\\40=c^2\\c=6.3246

BC is about 6.3246 units long.

Area ===

Finally, you can use these to find the area of the triangle. The area of a right triangle is just half the area of a rectangle with the same base and height:

A=\frac{b\times h}{2}\\\\A=\frac{6.7082\times6.3246}{2}\\\\A=\frac{42.4264}{2}\\\\A=21.2132

The area of this triangle is about 21.2132 square units.

4 0
3 years ago
Help please geometry, show all work!! Thanks :-)
Morgarella [4.7K]

Answer:

t = 18

Step-by-step explanation:

thank me later

6 0
2 years ago
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