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Harman [31]
2 years ago
10

Three times the sum of half Carlita’s age and 3 is at least 12.What values represent Carlita’s possible age? graph the solution

Mathematics
2 answers:
gulaghasi [49]2 years ago
5 0

<em><u>3 x 12 </u></em>

<em><u>I think because you find out how to graph in the corresponding area on the graph </u></em>

ch4aika [34]2 years ago
4 0

Answer:

3( \frac{1}{2}x + 3)\geqslant12

I wish I can show you how to graph it...

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Find b, given that a = 20, angle A = 30°, and angle B = 45° in triangle ABC
Kamila [148]
<span>The side b is opposite to the angle B, applying the law of the sines, we have:

</span>\frac{a}{sinA} = \frac{b}{sinB}
\frac{20}{sin30^0} = \frac{b}{sin45^0}
\frac{20}{ \frac{1}{2} } = \frac{b}{ \frac{ \sqrt{2} }{2} }
20* \frac{ \sqrt{2} }{2}  = b* \frac{1}{2}
\frac{20 \sqrt{2} }{2} = \frac{b}{2}
2*b =2*20 \sqrt{2}
2b = 40 \sqrt{2}
b =  \frac{40 \sqrt{2} }{2}
\boxed{b = 20 \sqrt{2} }
6 0
2 years ago
Read 2 more answers
In an athletics team, tall members are three times more likely to win a medal than short members. this year the team has won 60
nirvana33 [79]
Well lets say y = the amount of medals won. lets say x is the amount won by short people and z is the amount won by tall. we know that the total medals is the total medals won by short and tall so:
y = x + z

it says that tall people are 3.times more likely. this would mean they won three times more than short people. so
z = 3x.

so if we know what z equals, we can replace z with what it is equal to. so:
y = x + z
y = x + 3x
y = 4x

we know that 60 medals were won so
y = 4x
60 = 4x
x = 15

that is the amount won by short people
4 0
1 year ago
8. Peter and his partner are conducting a physics experiment on pendulum motion. Their 30-cm
katrin2010 [14]

Answer: 90/pi degrees

Step-by-step explanation:

It forms a 15cm arc from a circle of radius 30 cm.

The diameter is 30*2*pi = 60pi cm. So the arc is 15/60pi = 1/4pi of the way around a 360 degree circle. This is 1/4pi * 360 = 90/pi degrees.

Hope that helped,

-sirswagger21

8 0
2 years ago
Determine the value of $a$. [asy] pair w=(0,4); pair x=(0,0); pair y=(4,0); pair z=y+7/sqrt(2)*(1,1); dot(w); dot(x); dot(y); do
grandymaker [24]

Answer:

a=7

Step-by-step explanation:

The image is rendered and attached below.

Triangle WXY is an Isosceles right triangle, since WX=XY.

First, we determine the length of WY using Pythagoras Theorem.

WY=\sqrt{4^2+4^2}\\WY=\sqrt{32}

Since triangle WXY is Isosceles, \angle XYW=45^\circ

\angle XYZ=\angle XYW+\angle WYZ\\135^\circ=45^\circ+\angle WYZ\\\angle WYZ=135^\circ-45^\circ=90^\circ

Therefore:

Triangle WYZ is a right triangle with WZ as the hypothenuse.

Applying Pythagoras Theorem

WZ^2=WY^2+YZ^2\\9^2=(\sqrt{32})^2+a^2\\a^2=81-32\\a^2=49\\a^2=7^2\\$Therefore: a=7

3 0
2 years ago
E varies directly with the square root of C. If E=40 when C=25, find: C when E = 10.4
sukhopar [10]

Answer: C = 1.69

Step-by-step explanation:

E is proportional to √C

To remove proportionality, introduce a constant (k).

E = k × √C

From question,

E = 40 and C = 25

So,

40 = k ×√25

40 = k × 5

k = 8

Now,

C = ?

E = 10.4

k = 8

E = k × √C

10.4 = 8 × √C

10.4 / 8 = √C

( 10.4 / 8 ) ^ 2 = C

C = 1.69

6 0
2 years ago
Read 2 more answers
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