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Angelina_Jolie [31]
2 years ago
8

Use the Exterior Angle Inequality Theorem to list all of the angles that measure less than the measure of Angle 1

Mathematics
1 answer:
kati45 [8]2 years ago
6 0

Answer:

Angle 5

Angle 8

Step-by-step explanation:

\angle 5 \:\&\: \angle 8 measure less than the measure of Angle 1.

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A sphere is just enclosed inside a right circular cylinder. If the volume of the sphere is 140 cm3, find the volume of the gap b
alexgriva [62]
-----------------------------------------------------------
Find Radius :
-----------------------------------------------------------
\text {Volume of a sphere =}   \dfrac{4}{3}  \pi r^3

\dfrac{4}{3}  \pi r^3 = 140

\pi r^3 = 140 \times  \dfrac{3}{4}

\pi r^3 = 105

r^3 =  \dfrac{105}{ \pi}

r = 3.22 \ cm

-----------------------------------------------------------
Find volume of the cylinder :
-----------------------------------------------------------
\text {Volume of the cylinder = } \pi r^2h

\text {Volume of the cylinder = } \pi ((3.22)^2(3.22 \times 2)

\text {Volume of the cylinder = } 209.77 \ cm^3

-----------------------------------------------------------
Find volume of the gap :
-----------------------------------------------------------
\text {Volume of gap = } 209.77 - 140

\text {Volume of gap = } 69.77 \ cm^3

-----------------------------------------------------------
\bf \text {Answer : } 69.77 \cm^3
-----------------------------------------------------------

6 0
3 years ago
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Natali5045456 [20]
The answer to this question would be 8,4,4
6 0
2 years ago
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12x(x+2)−5(2x−1)<br><br> find the equation
ankoles [38]
Perform the indicated multiplications...

12x*x+12x*2-5*2x-5*(-1)

12x^2+24x-10x+5  combine like terms

12x^2+14x+5
7 0
2 years ago
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Can someone help me out with this
katen-ka-za [31]

Answer:

AB=4.41

Step-by-step explanation:

Use the cosine ratio, cosine=\frac{adjacent}{hypotenuse} . Insert the values:

cos25=\frac{4}{x}

Isolate x. Multiply both sides by x:

x*(cos25)=x*(\frac{4}{x})\\\\x*cos25=4

Divide both sides by cos 25:

\frac{x*cos25}{cos25}=\frac{4}{cos25}\\\\x=\frac{4}{cos25}

Insert into a calculator:

x=4.414

Round to the nearest hundredth:

x=4.41

Done.

5 0
3 years ago
Give the domain and range of the relation.
igor_vitrenko [27]

Answer:  A Domain: {-5, 0, 4, 6} Range: {-9,0, 9, 13}

Step-by-step explanation:

Domain is the x-values, least to greatest.

Range is the y-values, least to greatest.

6 0
2 years ago
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