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2 years ago

3 moon + 1 star = 29 1 moon +1 moon = 15 Find value of 1 moon

Mathematics

1 answer:

Montano1993 [528]2 years ago

8 0

Hi!

I can help you with joy!

3 moons+1 star equals 29.

All right.

Actually, there are a few numbers that can be hidden behind the moon:

3*8=24 + 1 star (5) = 29

But 1 moon + 1 moon equals 15.

So one moon equals 7.5.

$*GentleGirlie*$

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Find the value of n:<br> <img src="https://tex.z-dn.net/?f=%5Cfrac%7B10%7D%7Bn%7D%20%3D%5Cfrac%7B15%7D%7B6%7D" id="TexFormula1"

Arturiano [62]

4. Cross multiply (10•6) (15•n) 15n=60 you do the opposite operation so instead of multiply 15•n you divided 15 from n. And what u do on one side u do on both. So divide 15 from 60 and u get 4.

7 0

1 year ago

What are the solutions to the equation 3(x – 4)(x + 5) = 0?

iris [78.8K]

Answer:

x=4 and x= - 5

Step-by-step explanation:

In order to solve this we should re-arrange the equation:

$(x-4)(x+5)=\frac{0}{3}$

This is equal to:

$(x-4)(x+5)=0$

Then we can seperate this into:

$(x-4)=0\\(x+5)=0$

So solving for x in both cases we get

$x-4=0 \\x=4\\And\\x+5=0\\x=-5\\$

4 0

2 years ago

If D is midpoint of side BC of triangle ABC. P and Q are points lying respectively on side AB and AC such that DP is parallel to

LUCKY_DIMON [66]

See proof below

Step-by-step explanation:

Assume triangle ABC to have vertices at;

A(2,-1), B(2,-7) and C(6,-7)

D is midpoint of BC, thus D is at (4,-7)

The P and Q, are lying on side AB and AC, hence assume P is at (2,-4) and Q is at (4,-4) such at DP is parallel to QA

Plot the points on a graph tool and join the points to view the sketch.

To prove area of triangle CPQ is 1/4 area of ABC will be;

Find area ABC and CPQ then compare the areas.

Apply the distance formula to find the length of sides of the triangles then find the areas.

The distance formula is;

$d=\sqrt{x_2-x_1)^2+(y_2-y_1)^2}$

Length of side AB from the sketch is;

$AB=\sqrt{(2-2)^2+(-7--1)^2} =\sqrt{-6^2} =\sqrt{36} =6units$

Length of side BC will be;

$BC=\sqrt{(-7--7)^2+(6-2)^2} =\sqrt{4^2} =\sqrt{16} =4units$

Thus area of triangle ABC will be;

1/2 *base length*height ------because it is a right-triangle

1/2*4*6=12 square units

Find the lengths of all sides of triangle CPQ

Length of side PQ is half that of side BC thus PQ=2 units

Length of side PC is;

$PC=\sqrt{(6-2)^2+(-7--4)^2} =\sqrt{4^2+-3^2} =\sqrt{16+9} =\sqrt{25} =5units$

Length of side QC will be;

$QC=\sqrt{(6-4)^2+(-7--4)^2} =\sqrt{2^2+-3^3} =\sqrt{4+9} =\sqrt{13}$

QC= √13 = 3.6 units

Find area of triangle CPQ given all sides by applying the Heron's formula for area of triangle which is;

A=√s(s-a)(s-b)(s-c) where;

A=area of the triangle

s= half the perimeter of the triangle

a=side PQ = 2 units

b=side PC = 5 units

c= side QC = 3.6 units

Finding the perimeter of triangle CPQ will be;

P=sum of all sides

P=2+5+3.6 =10.6 units

s=10.6/2 = 5.3

Area of the triangle CPQ will be;

$A=\sqrt{5.3(5.3-2)(5.3-5)(5.3-3.6)} \\A=\sqrt{5.3(3.3)(0.3)(1.7)} \\A=\sqrt{8.9} =2.98$

A=3.0 (1 decimal place)

Compare the areas;

Area of triangle ABC=12 square units

Area of triangle CPQ = 3 square units

Area of triangle CPQ / Area of triangle ABC = 3/12 =1/4

Thus you have proved that area of triangle CPQ is 1/4 th area of triangle ABC because 1/4 *12 =3

Learn More

Area of a triangle ;brainly.com/question/14869984

The Heron's formula : brainly.com/question/10713495

Keywords: midpoint, triangle, sides, parallel, prove , area, equal

#LearnwithBrainly

6 0

2 years ago

Find an equation for the line below

aalyn [17]

The formula is y=mx+b the m is slope so 11/-7. the b is the y intercept so -1.5
equation is y=11/-7x+1.5.

4 0

3 years ago

Joshua’s computer loan statement said he would pay $1,244.34 in simple interest for a three-year loan at 12.4%. How much did Jos

rusak2 [61]

Answer: Josh borrowed $ 876 to buy the computer.

Step-by-step explanation:

Formula for simple interest : I = Prt

, where P = principal amount

r= rate of interest ( in decimal)

t=time (in years)

Total amount with simple interest to pay : A = P+I

⇒ A = P +Prt

⇒ A = P(1 +rt) (i)

As per given , A = $1,244.34

r= 12.4% = 0.124

t= 3 years

Now, put these values in (i) , we get

$1244.34=P(1+0.124)^3\\\\\Rightarrow\ 1244.34=P(1.124)^3\\\\\Rightarrow\ 1244.34=P(1.420034624)\\\\\Rightarrow\ P=\dfrac{1244.34}{1.420034624}\\\\\Rightarrow\ P=876.27$

Hence, Josh borrowed $ 876 to buy the computer.

4 0

2 years ago

3 moon + 1 star = 29 1 moon +1 moon = 15 Find value of 1 moon​

3 moon + 1 star = 29 1 moon +1 moon = 15 Find value of 1 moon