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aalyn [17]
3 years ago
9

Bianca and Meredith are sisters. Meredith's height is 23 of Bianca's height plus 32 inches. Meredith is 60 inches tall. M Write

an equation to find Bianca's height, x, in inches.
Mathematics
2 answers:
jeyben [28]3 years ago
6 0

Answer:

67584

Step-by-step explanation:

I think your answer is wrong becasue it doesnt show 42 or 45 or whatever he or she put but anyway its wrong

Anna [14]3 years ago
5 0

Answer:

The height of Bianca  =  42 inches

Step-by-step explanation:

The given height of Meredith = 60 inches

Let us assume the height of Bianca = x inches

Now, given Meredith's height  =  2/3 of Bianca's Height + 32 inches

\implies  60 = \frac{2}{3 }  \times x  + 32

or,\frac{2}{3 }  \times x  = 60 -32  = 28\\\implies x = 28 \times  \frac{3}{2 }  = 42

or, x = 42

Hence the given height of Bianca  = x = 42 inches

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Un avión puede volar con la velocidad de 400 km por hora en atmósfera tranquila si cuando se dirige hacia el este el viento vien
Bumek [7]

Answer:

84,3 ° Sureste

Step-by-step explanation:

El diagrama vectorial que tipifica la pregunta se muestra en la imagen adjunta.

La dirección del avión es la dirección de la velocidad resultante.

Si esta dirección es θ

θ = tan ^ -1 (400/40)

θ = 84,3 ° Sureste

3 0
2 years ago
What is the radius of a circle whose equation is x2 + y2 + 8x – 6y + 21 = 0?
s344n2d4d5 [400]

Answer:

2 units

Step-by-step explanation:

The given equation of the circle is:

x^{2} + y^{2}+8x-6y+21=0

The general equation of the circle is:

x^{2} + y^{2}+2gx+2fy+c=0

Comparing the given equation with the general equation we can say:

g = 4

f = -3

c = 21

The formula for radius of the circle is:

radius=\sqrt{g^{2} +f^{2} -c }

Using these values of the given circle, we get:

radius=\sqrt{(4)^{2}+(-3)^{2}-21}\\\\radius=\sqrt{4}\\\\radius=2

Therefore, the length of radius of the given circle is 2.

3 0
3 years ago
To estimate the height of a house Katie stood a certain distance from the house and determined that the angle of elevation to th
Nata [24]

the height of the house is 408ft .

<u>Step-by-step explanation:</u>

Here we have , To estimate the height of a house Katie stood a certain distance from the house and determined that the angle of elevation to the top of the house was 32 degrees. Katie then moved 200 feet closer to the house along a level street and determined the angle of elevation was 42 degrees. We need to find  What is the height of the house . Let's find out:

Let  y is the unknown height of the house, and x is the unknown number of feet she is standing from the house.

Distance of house from point A( initial point ) = x ft

Distance of house from point B( when she traveled 200 ft towards street  = x-200 ft

Now , According to question these scenarios are of right angle triangle as

At point A

⇒ Tan32 =\frac{Perpendicular}{Base}= \frac{y}{x}

⇒ Tan32 = \frac{y}{x}

⇒ y=x(Tan32 )       ..................(1)

Also , At point B

⇒ Tan42 = \frac{y}{x-200}

⇒ y=(x-200)(Tan42)     ..............(2)

Equating both equations:

⇒ (x-200)(Tan42) = x(Tan32)

⇒ x(Tan42-Tan32)=Tan42(200)

⇒ x=\frac{Tan42(200)}{(Tan42-Tan32)}

⇒ x=653ft

Putting  x=653ft in  y=x(Tan32 )  we get:

⇒  y=x(Tan32 )    

⇒  y=653(Tan32 )

⇒  y=408ft

Therefore , the height of the house is 408ft .

4 0
2 years ago
The mean of 10 values is 19. If further 5 values are
Leokris [45]

Answer:

22

Step-by-step explanation:

Pretend the 10 values in the first sentence are a,b,c,d,e,f,g,h,i,j

Pretend the addition 5 values is k,l,m,n,o

So the mean of all the 15 data is (a+b+c+d+e+f+g+h+i+j+k+l+m+n+o)/15=20

So the sum of all 15 data is  a+b+c+d+e+f+g+h+i+j+k+l+m+n+o=300                since 15(20)=300

Now let's look at the first 10:  We have their mean so we can write:

(a+b+c+d+e+f+g+h+i+j)/10=19

so a+b+c+d+e+f+g+h+i+j=190                               since 10(19)=190

So that means using our first sum equation and our equation sum equation we have

190+k+l+m+n+o=300

      k+l+m+n+o=300-190

      k+l+m+n+o= 110

So the average of those 5 numbers mentioned in your problem is 110/5=22

3 0
3 years ago
Angles ABC and DBE are vertical angles, with angle ABC = 4x, and angle DBE =( 2x+18)
Dmitrij [34]
 V<span>ertical angles are equal.
We have 4x = 2x + 18.
Then, 2x = 18;
x = 18 </span>÷ 2;
x = 9 degrees;
The measure of angle DBE is 2 × 9 + 18 = 36 degrees.
3 0
3 years ago
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