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2 years ago

In RST, RS = 7, RT = 10, and ST = 8. Which angle of RST has the smallest measure?

1 answer:

6 0

The larger the opening between two sides, the longer is its opposite side. Assuming ∠R is between RS and RT, its opposite is ST, ∠S is between RS and ST, its opposite is RT, ∠T is between ST and RT, its opposite is RS.

Thus, ∠T is the smallest angles because it has a corresponding smallest side.

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In a fruit cocktail, for every 20 ml of orange juice you need 10 ml of apple juice and 15 ml of coconut milk. What proportion of

MariettaO [177]

Answer:

1/3

Step-by-step explanation:

20 ml + 10 ml + 15 ml = 45 ml total

15 ml coconut milk/45 ml total = 15/45 = 1/3 (as a fraction)

7 0

3 years ago

1.What is the cross section formed by a plane that contains a vertical line of symmetry for a tetrahedron?

stiks02 [169]

1. Answer;

- Triangle

Explanation;

The cross section formed by a plane that contains a vertical line of symmetry for a tetrahedron is a Triangle.

A tetrahedron also a triangular pyramid, is a polyhedron composed of four triangular faces, six straight edges, and four vertex corners.

2. Answers

- Triangle

Explanation;

The cross section formed by a plane that intersects three faces of a cube is a Triangle. A cross section is the shape we get when cutting straight through an object. The shape of the cross-section of a solid depends upon the orientation of the cutting plane to the solid.

7 0

3 years ago

Read 2 more answers

Convert the angle 61 38’ 45” to decimal degrees, and round to the nearest hundredth of a degree

slega [8]

A suitable calculator* can do this easily.

61°38'45" = (61 +(38 +45/60)/60)° ≈ 61.65°

_____
I like the RealCalc app for Android, but many graphing calculators also will do this conversion. Of course, you can simply evaluate the expression as above.

6 0

3 years ago

Read 2 more answers

<img src="https://tex.z-dn.net/?f=tan20%2B4sin20%3D%5Csqrt%7B3%7D" id="TexFormula1" title="tan20+4sin20=\sqrt{3}" alt="tan20+4si

zepelin [54]

tan( 20 ) + 4 Sin( 20 ) =

( Sin( 20 ) / Cos( 20 ) ) + 4 Sin( 20 ) =

Sin( 20 ) + 4 Sin( 20 ).Cos( 20 ) / Cos( 20 ) =

Sin( 20 ) + 2 × 2 Sin(20).Cos(20)/ Cos(20) =

Sin( 20 ) + 2 × Sin( 40 ) / Cos( 20 ) =

Sin( 20 ) + 2Sin( 40 ) / Cos( 20 ) =

Sin( 20 ) + 2Cos( 50 ) / Cos ( 20 ) =

Sin( 20 ) + 2Cos( 20 + 30 ) / Cos( 20 ) =

________________________________

2 × Cos( 30 + 20 ) =

2 × [ Cos(30).Cos(20) - Sin(30).Sin(20) ] =

2 × [ √3/2 × Cos(20) - 1/2 × Sin(20) ] =

√3 Cos(20) - Sin(20)

_________________________________

Sin( 20 ) + 2Cos ( 20 + 30 ) / Cos( 20 ) =

Sin( 20 ) + √3 Cos(20) - Sin(20) / Cos(20) =

Sin(20) - Sin(20) + √3 Cos(20) / Cos(20) =

0 + √3 Cos(20) / Cos(20) =

√3 Cos(20) / Cos(20) =

Cos(20) simplifies from the numerator and denominator of fraction

√3 × 1 / 1 =

√3

And we're done ....

5 0

2 years ago

Two decimal numbers have a difference of 0.7 And and a sum of 1.What are the numbers?

klio [65]

The two numbers are 0.85 and 0.15
if you add them together you get 1, 0.85+0.15=1
and if you subtract them you get 0.7, 0.85-0.15=0.7

3 0

3 years ago

Read 2 more answers