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Aleonysh [2.5K]
2 years ago
8

Two sides and an angle are given below. determine whether the given information results in one​ triangle, two​ triangles, or no

triangle at all. solve any​ triangle(s) that results.
Mathematics
1 answer:
Nadusha1986 [10]2 years ago
4 0
You need to attach the "given information" otherwise we can't help you
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Find the area of the figure. If needed, round to the nearest tenth.
Umnica [9.8K]

Answer:

18 \:ft^2

Step-by-step explanation:

The area of a trapezoid.

(a+b)h\frac{1}{2}

(8+4)3 \times \frac{1}{2}

(12)3 \times \frac{1}{2}

36 \times \frac{1}{2}

=18

6 0
3 years ago
The sum of five consecutive multiples of 4 is 20.Find the smallest integer.
Aloiza [94]

Answer:

The smallest integer is -4.

Step-by-step explanation:

Let the smallest integer be x.

Since the integers are all multiples of 4, they are

=> x, x+4, x+8, x+12 and x+16

=> x + x+4 + x+8 + x+12 + x+16 = 20

=> 5x + 40 = 20

Subtract 40 from both sides of the equation

5x +40 - 40 = 20 - 40

5x = -20

Divide both sides by the coefficient of x(which is 5)

\frac{5x}{5} = \frac{-20}{5}

x = -4

∴ the smallest integer is -4.

Hope this helps!!!

6 0
2 years ago
Find the volume of the following
Nadusha1986 [10]

Given:

A prism with right triangular base.

Base of triangle = 6 ft

Height of triangle = 8 ft

Height of prism = 7

To find:

The volume of the given prism.

Solution:

The volume of prism is:

V=Bh             ...(i)

Where, B is the base area and h is the height of the prism.

In the given figure, the base of the prism is a right angle triangle with legs 6 ft and 8 ft. So, the area of the base is:

B=\dfrac{1}{2}\times base\times height

B=\dfrac{1}{2}\times 6\times 8

B=\dfrac{48}{2}

B=24

Substituting B=24,\ h=7 in (i), we get

V=24\times 7

V=168

Therefore, the volume of the prism is 168 cubic ft.

6 0
2 years ago
Imelda needs to convert 440 centimeters per minute to meters per hour.Which conversion factors should she use
Basile [38]
She should use the conversion factor of 100 centimeters to 1 meter and also the conversion factor of 60 minutes to 1 hour. 
7 0
3 years ago
Given triangle TVU list the sides of the shortest to longest
Margaret [11]

Answer:

VU, VT, TU

Step-by-step explanation:

List the side lengths of triangle TUV from shortest to longest.

A. VU, VT, TU

B. VT, TU, VU

C. VT, VU, TU

D. VU, TU, VT"

8 0
2 years ago
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