what is the value of BC in the given triangle?

b = Bethan's Income

hmmm how much is 32% of "b" anyway?  

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{32\% of b}}{\left( \cfrac{32}{100} \right)b}\implies 0.32b~\hfill \stackrel{\textit{Amrit's Income}}{b~~ + ~~0.32b} \\\\[-0.35em] ~\dotfill[/tex][tex]\stackrel{\textit{\Large Incomes}}{ \stackrel{Bethan}{b}~~ + ~~\stackrel{Amrit}{(b+0.32b)}~~ = ~~\stackrel{combined}{54868}}\implies 2.32b=54868 \\\\\\ b=\cfrac{54868}{2.32}\implies b=23650~\hfill \underset{\textit{Amrit's Income}}{\stackrel{23650~+~0.32(23650)}{\pounds ~31218}}[/tex]

The density of the lime is 1.38 g/cm^3.

Remember that the density is given by the quotient between mass and volume.

Here, the lime is a sphere with a radius of 2.5 cm, remember that the volume of a sphere of radius R is given by:

V = (4/3)*pi*R^3

So our lime has a volume:

V = (4/3)*3.14*(2.5 cm)^3 = 65.42 cm^3

And the mass is M = 90 grams, then the density is:

D = M/V = (90 g)/(65.42 cm^3) = 1.38 g/cm^3

If you want to learn more about density, you can read:

https://brainly.com/question/1354972

Answer:johns my fraind

Step-by-step explanation:

Answer:

(- 7, - 1 )

Step-by-step explanation:

Under a counterclockwise rotation about the origin of 90°

a point (x, y ) → (- y, x ) , thus

(- 1, 7 ) → (- 7, - 1 )

Answer:

4x^(2)+9

Step-by-step explanation:

Answer:

[tex]1\frac{5}{12}[/tex]

Step-by-step explanation:

[tex]1\frac{2}{3}-\frac{1}{4}[/tex]

[tex]\mathrm{Subtract\;Whole\;Number}[/tex]

[tex]1-0=1[/tex]

[tex]\mathrm{Combine\;fraction}[/tex]

[tex]\frac{2}{3}-\frac{1}{4}:\frac{5}{12}[/tex]

[tex]=1+\frac{5}{12}[/tex]

[tex]=1\frac{5}{12}[/tex]

Hence, the answer is 1 5/12

~Lenvy~

1. Convert the 1 and 2/3 from mixed partial fractions to improper fractions to make it a bit simpler to calculate

⇒ [tex]1\frac{2}{3} = \frac{5}{3}[/tex]

2. Now lets the change the base of both fractions into a common denominator and solve

⇒ [tex]\frac{5}{3}-\frac{1}{4} = \frac{5*4}{3*4} -\frac{1*3}{4*3} =\frac{20}{12}-\frac{3}{12} =\frac{20-3}{12} =\frac{17}{12} = 1\frac{5}{12}[/tex]

Answer: [tex]\frac{17}{12}[/tex] or [tex]1\frac{5}{12}[/tex]

Hope that helps!

To simplify, we multiply each single one in the first bracket with both in the second bracket :

[tex](3x+1)(3x-5) = 9x^{2} -15x + 3x - 5[/tex]

Answer:

25n + 600 > 1400 ​

Step-by-step explanation:

Answer:

[tex]\sf y \leq \dfrac34x[/tex]

Step-by-step explanation:

Choose 2 points on the line:  (0, 0) and (4, 3)

[tex]\sf slope=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{3-0}{4-0}=\dfrac34[/tex]

point-slope form of linear equation:  [tex]\sf y-y_1=m(x-x_1)[/tex]

[tex]\implies \sf y-0=\dfrac34(x-0)[/tex]

[tex]\implies \sf y=\dfrac34x[/tex]

Solid line : ≤ or ≥

Dashed line: < or >

Therefore as the line is solid, and the shading is below the line,

[tex]\implies \sf y \leq \dfrac34x[/tex]

Slope:-

[tex]\\ \tt\Rrightarrow m=\dfrac{6+3}{8+4}=\dfrac{9}{12}=\dfrac{3}{4}[/tex]

Equation of line in point slope form

[tex]\\ \tt\Rrightarrow y+3=3/4(x+4)[/tex]

[tex]\\ \tt\Rrightarrow y+3=3/4x+3[/tex]

[tex]\\ \tt\Rrightarrow y=3/4x[/tex]

equation of shaded region

[tex]\\ \tt\Rrightarrow y\leqslant 3/4x[/tex]

Answer:

56*56

Step-by-step explanation:

The 56*56 is divided by the same option in the 57

Answer:

v = [tex]\frac{7\sqrt{2} }{2}[/tex]

u = [tex]7[/tex]

Step-by-step explanation:

First, the angle on the far left is also 45 degrees.

So, v is equal to [tex]\frac{7\sqrt{2} }{2}[/tex] because this is a 45-45-90 triangle, so the sides opposite the 45-degree angles are congruent.

However, u is the side opposite the 90-degree angle, so it is equal to the other side value, multiplied by [tex]\sqrt{2}[/tex].

So, [tex]\frac{7\sqrt{2}}{2}*\sqrt{2}[/tex] is equal to:

[tex]7[/tex]

Hope this helps!

Answer:

----------------------------------------------

Answer:

-1 >x

Step-by-step explanation:

-4(7+6x)<-2(x-6)

-28-24x<2(x-6)

-28-24x<-2x-6

+6. +6

-22-24x<-2x

+24x +24x

-22 < 22x.

-22÷-22=1 that canceled out

+22÷-22= -1

-1>x. because we divided by a negative the inequality switched.

Hope this helped

Answer:

−

6

−

1

4

=

+

7

-6x-14=x+7

−6x−14=x+7

−

6

−

1

4

+

1

4

=

+

7

+

1

4

Add the numbers

Add the numbers

again

−

6

=

+

2

1

Subtract  

x

x

from both sides of the equation

−

6

=

+

2

1

-6x=x+21

−6x=x+21

−

6

−

=

+

2

1

−

Simplify

Combine like terms

Combine like terms

again

−

7

=

2

1 the answer is=3

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

-14-6x=x+7

-14-6x+14=x+7+14

-6x=x+21

-6x-x=x+21-x

-7x=21

\frac{-7x}{-7}=\frac{21}{-7}

x=-3

Answer:

Step-by-step explanation:

180° ( n - 2 )

n = 6 sides

4( x )° + 2( x - 6 )° = 180° ( 6 - 2 )

4x + 2x - 12 = 720

6x = 732

x = 122

x° = 122 °

( x - 6 )° = 116 °

122° + 116° + 122° + 122° + 116° + 122° = 720°

Answer:

1 solution

(3, 4)

Step-by-step explanation:

The pair of equations for lines A and B have 1 solution because there is one point of intersection.

The point of intersection is (3, 4), therefore this is the solution.

Answer:

3,4

Step-by-step explanation:

Replace x in the equation and see which one equals the y values:

The answer is f(x) = 2x - 1

Answer:

I believe it is a 25% increase

Answer:

11.1111% increase fee for an accounting course,

5.55555% per each semester.

Step-by-step explanation:

Hope this helps! Please let me know if you need more help, or if you think my answer is incorrect. Brainliest would be MUCH appreciated. Have a great day!

Answer

18,080

Explantion

400x10=4000x4=16000

400x5=2000

2000+16000=18000

400×.2=80

cause 20% of 400 is 80

so total is 18,080

Answer:

$1.34

Step-by-step explanation:

15% × 8.95 =

(15 ÷ 100) × 8.95 =

(15 × 8.95) ÷ 100 =

134.25 ÷ 100 =

1.3425 ≈

1.34;

Answer:

1.34$

Step-by-step explanation:

Multiply 8.95 by 0.15 to get 15% tip.

Answer:

total number of ples baked in the two years= 214+k

you are supposed to be able to do it your own, i think the maths teacher think in this way.

Answer:

x=2 , y=3

Step-by-step explanation:

R11 000 in a year.

Step-by-step explanation:

Therefore:

52 weeks - 2 weeks unpaid = 50 weeks

50 weeks × R220 = R11 000 in a year

Answer:

Its Simple All the angles in a triangle adds up to 180°

Step-by-step explanation:

∠A + ∠ B + ∠C = 180° NO matter what. You can also use this in inverse If you have two out of three angles then you can add the two angles you have and subtract the from 180 to get the measurement of the 3rd angle.

Hope this helps

Answer:

x = 5 units

Step-by-step explanation:

Hello!

We know that the area of a rectangle is the length multiplied by the width.

We can simply create an expression to solve for x.

Solve:

The value of x is 5 units.

Answer:

6th term

Step-by-step explanation

Answer:

y=6/5x+6

Step-by-step explanation: