This composite figure is made up of three simpler shapes. What is the area of
the figure?
2 cm
6 cm
8 cm
4 cm
10 cm
A. 94 square centimeters
B. 47 square centimeters
C. 100 square centimeters
D. 70 square centimeters

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]

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:

g(x)= x^2-5

g(0)= (0)^2-5

= 0-5

= -5

g(2)= (2)^2-5

=  4-5

= -1

g(4)= (4)^2-5

= 16-5

=11

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]

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

Alternate Interior Angles are formed on the interior of the parallel lines, on the opposite sides of the transverse. The value of x is 14.

When two parallel lines are cut by a transverse. the angles formed on the interior of the parallel lines, on the opposite sides of the transverse are known as the Alternate Interior Angle.

As we can see in the centre where the triangle is formed, the measure of the different angles can be written as,

Vertically opposite Angles, [tex]\angle A = 53^o[/tex]

Alternate Interior Angles, [tex]\angle C = 57^o[/tex]

[tex]\angle B = 5x[/tex]

Now, the sum of all the angles of this triangle can be written as,

[tex]\angle A+\angle B+\angle C = 180^o\\\\53^o + 5x + 57^o = 180^o\\\\110^o + 5x = 180^o\\\\5x = 180^o-110^o\\\\5x = 70^o\\\\x = 14[/tex]

hence, the value of x is 14.

Learn more about Alternate Interior Angles:

https://brainly.com/question/2656732

Answer:

22

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:

11 2/3

Step-by-step explanation:

Let’s do this

5*2 1/3

Convert the mixed fraction to an improper fraction

2 1/3= 3*2+1=7/3

Now let’s multiply straight across

5*7/3=5/1 * 7/3=35/3

To get mixed number, divide

35/3=11 2/3

And if we convert 11 2/3 to improper, we get 35/3, which is correct. So therefore the answer is 11 2/3.

Hope this helps!

(If possible, please mark me brainliest if possible!)

Answer:

-14

Step-by-step explanation:

I believe you meant 8x−y^2−3.    The expression 8x−y2−3 is meaningless.

Letting x take on the vaue -1/4 and y the value 3, we get:

8(-1/4) − (3)^2−3, or

-2        -  9 - 3, or

-2 - 12.  Final answer is -14

Answer:

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

Answer:

Step-by-step explanation:

Formula

V = (4/3) pi r^3

Givens

pi = 3.14

r = 25.9 inches

Solution

V = (4/3) pi r^3                     Substitute values

V = (4/3) * 3.14 * 25.9^3

V = (4/3) * 3.14 *17373.98

V = 72739.1

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:

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:

Answer:

y=6/5x+6

Step-by-step explanation:

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:

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:

$1.34

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:

100

Step-by-step explanation:

The fraction 2/3 says there are 3 total parts to the track, but Pete only rode 2 of them.

In this type of problem you always multiply the amount of the whole (150) times the fraction of the whole you are calculating (2/3) to get the answer.

150*2 = 300 divided by 3 = 100

Or 150 * (2/3) = 150 * 0.66667 = 100

Answer:

sunil is 28 cm taller than Megan

Answer:

28cm

Step-by-step explanation:

so basically

Sunil take away Megan =answer

137-109=28cm

Answer:

54 and here is why..

Step-by-step explanation:

In order to calculate the surface are of the prims, you have to calculate the area of each face of the prism, also you have to remember the different formulas to calculate the areas:

Rectangle will be (Length x Width) and

Triangle will be (Base x Height / 2)

SOOO, You just have to insert the values into formulas:

Rectangle1 = 4 x 3.5

Rectangle1 = 14

Rectangle 2 = 5 x 3.5

Rectangle 2 = 17.5

Rectangle 3 = 3 x 3.5

Rectangle 3 = 10.5

Triangle 1 = 4 x 3 / 2

Triangle 1 = 6

Triangle 2 = 4 x 3 / 2

Triangle 2 = 6

SOoo again, if you add all the faces, you get the surface area of the prims:

14+17.5+10.5+6+6=54

I hope this help you my friend, have a good day

Answer:

Step-by-step explanation:

Give him brainliest

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:johns my fraind

Step-by-step explanation:

Answer:

6th term

Step-by-step explanation

The answer is C Trina is not correct because the two sides of the equation are equivalent

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:

25n + 600 > 1400 ​

Step-by-step explanation:

The amount of Canadian dollar that can be exchanged with NC. 45000 is; 533.69 canadian dollar

We are told that;

NC. 200 = 2.45 Australian dollar

8116 Australian dollar = 8152 canadian dollar

Thus;

NC per Australian dollar = 200/2.45 NC/AUS Dollar

Thus;

200/2.45 NC = 1 Australian dollar

8116/8152 Australian dollar = 1 canadian dollar

Since 1 Australian dollar = 200/2.45 NC , then

8116/8152 Australian dollar = 8116/8152 * 200/2.45

⇒ 81.272 NC

Thus;

81.272 NC = 1 canadian dollar

Then; NC.45000 = 45000/81.272  = 533.69 Canadian dollar

Read more about Currency Conversion at; https://brainly.com/question/11160294

Answer:lim x- √16-x²=32

Step-by-step explanation:

[tex]x^{4}[/tex]-16

=(x²)²-4²

=(x²-4)(x²+4)

=(x²-2²)(x²+4)

=(x-2)(x+2)(x²+4)

So:

[tex]\frac{x^{4}-16 }{x-2}[/tex]=[tex]\frac{(x-2)(x+2)(x^{2}+4) }{(x-2)}[/tex]=(x+2)([tex]x^{2}[/tex]+4)

with exclusion:

x[tex]\neq[/tex]2

Hence:

lim [tex]\frac{x^{4}-16 }{x-2}[/tex]

x-2

((x+2)([tex]x^{2}[/tex]+4))=

((2)+2)((2)²+4)=4⋅8=32