They have a rectangle ABCD as shown below, where AB = 24cm BC = 10cm and AE = 13cm
A. Calculate the volume of the rectangle ABCD
B. Calculate the circumference of the BCD triangle
C. Calculate the circumference of the BEC triangle
D. Calculate the circumference of the DEC triangle

Answer:

f(x) = 0.01 × 2^(x+1)

Step-by-step explanation:

0.02 = 0.01 × 2¹

0.04 = 0.01 × 2²

0.08 = 0.01 × 2³

0.16 = 0.01 × 2⁴

The equation of the exponential function is [tex]f(x) = 0.01 \times 2^{x+1}[/tex].

When the expression of function is such that it involves the input to be present as exponent (power) of some constant, then such function is called exponential function. There usual form is specified below. They are written in several such equivalent forms.

The equation in exponential form

y = A(Bˣ)

Since we are given as;[tex]f(x) = 0.01 \times 2^{x+1}[/tex]

Case 1 :

x =0, y = 0.02

0.02 =  A (B⁰)

A = 0.02

Case 2:

x = 1, y =0.04

0.04 =  0.02(B)

0.04 /0.02 = B

B = 2

Case 3 :

x = 2, y =0.08

0.08 = 0.02(2²)

0.08 = 0.08

Case 4 :

x = 3, y = 0.16

0.16 = 0.02(2³)

0.16 = 0.16

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Answer:

AB is the diameter,,,,,,,,,

Hey there!

Your answer is 2(n + 3)

"Double" represents multiplying by two. Also, "sum of a number and 3" represents the addition of 3 and a number, so we could put "n + 3". Since we are doubling the sum, it would be "2(n + 3)"

Have a terrificly amazing day! :D

Answer:

25

Step-by-step explanation:

25

Answer:

142

Step-by-step explanation:

8a-9=7a+1

a=10

7(10)+1=71

71x2=142

9514 1404 393

Answer:

Step-by-step explanation:

Triangles are classified by their largest angle:

The classification by angles is ...

  a) obtuse

  b) acute

  c) right

  d) acute

__

The classification by sides is ...

The classification of these triangles by sides is ...

  a) scalene

  b) isosceles

  c) scalene

  d) equilateral

Answer:

the base of the given problem is 7

Step-by-step explanation:

The computation of the base in the given problem is shown below:

Given that

20% of 35 boys in the class wear eyeclasses

So if we solve this

The value would be

= 20% of 35 boys

= 20% × 35

= 7

Hence, the base of the given problem is 7

The same would be considered

Answer:

function

Step-by-step explanation:

we see 2 sets of values : for x and for y.

the set for x is {8, 0, -1, 9}

the set for y is {s, u, k, d}

for every element of set x there is an associated element of set y.

that is a function of x.

A= πr2

= 22/7×14×14

=616 mm2

Answer:

[tex]Volume = x^3y^4[/tex]

Step-by-step explanation:

Given

[tex]Length = xy^2[/tex]

[tex]Height = y^2[/tex]

[tex]Width = x^2[/tex]

Required

Determine the volume

The volume is calculated as:

[tex]Volume = Length * Width * Height[/tex]

[tex]Volume = xy^2 * x^2 * y^2[/tex]

This gives:

[tex]Volume = x^3y^4[/tex]

Answer:

128

Step-by-step explanation:

64 times 2 = 128

The value of the expression nk at n = 64 and k = 2 will be 128.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

The expression is given below.

⇒ nk

The value of the expression at n = 64 and k = 2 will be given as,

⇒ 64 × 2

⇒ 128

The value of the expression nk at n = 64 and k = 2 will be 128.

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Answer:

9.465

Step-by-step explanation:

cos 65°=4/x

x=4/cos 65°=9.465(correct to three decimal places)

Answer: c

Step-by-step explanation:

The zeros of the given function shown in the graph are x = 0 and x = 5. Option C is correct.

Zeros of an equation is defined as the value of the independent variable where the equation or function gives zero.

Here,

To calculate the zeros of a function from a graph, you need to identify the points where the graph intersects the x-axis. The x-values of these points of intersection are the zeros of the function.

Based on the graph provided, it can be concluded that the zeros of the function occur at x = 0 and x = 5, and therefore, option C is the correct answer.

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Answer:

The answer i Think is 22.67%

Answer:

4761

Step-by-step explanation:

PEMDAS

9514 1404 393

Answer:

  y -3 = -1/2(x +10)

Step-by-step explanation:

Given a point and a slope, it is reasonable to use the point-slope form of the equation for a line.

  y -k = m(x -h) . . . . . . . . line with slope m through point (h, k)

Your line has slope m = -1/2 through point (h, k) = (-10, 3). Putting these values into the appropriate form your equation is ...

  y -3 = -1/2(x +10) . . . . point-slope form equation

__

  y = -1/2x -5 +3 . . . . eliminate parentheses, add 3

  y = -1/2x -2 . . . . . . . . . slope-intercept form equation

Answer:

7

Step-by-step explanation:

2 - tenths

4 - hundredths

7- thousandths

8 - ten-thousandths

Step-by-step explanation:

digit 7 is in the thousandths place

Answer:

x= 100

Step-by-step explanation:

The opposite angles in a cyclic quadrilateral are supplementary.

80+x = 180

x = 180-80

Answer:

x = 100

Step-by-step explanation:

The opposite angles in a cyclic quadrilateral are supplementary, then

x + 80 = 180 ( subtract 80 from both sides )

x = 100

value of X is 26 Y, is 23, Z is 8

Answer:

19. RE = 12

20. EB = 24

Step-by-step explanation:

19. Determination of RE

HE = 24

RE =?

From the diagram given above, we can conclude that:

HE = 2RE

24 = 2RE

Divide both side by 2

RE = 24 / 2

RE = 12

20. Determination of EB.

YB = 12

EB =.?

From the diagram given above, we can conclude that:

EB = YB

EB = 2 × 12

EB = 24

Answer:

Yes

Step-by-step explanation:

3/6 = 12/24

Answer:

Yes!

Step-by-step explanation:

It can be also written as:

3                   6

_      =          _

12                 24

3x2 =6

you multiplied 3 by 2, so do the same to the bottom!

12x2=24

So, this is right!

Answer:

The second one is correct

Step-by-step explanation:

....

Answer:

204.217

Step-by-step explanation:

2 x .01 = .02

.02 + 204.197 =  204.217

Answer:

1) d answer 2) c answer of the question

Answer: [tex]\dfrac{3}{6}[/tex]

Step-by-step explanation:

Given

Sharmila has [tex]\frac{5}{6}[/tex] portion of cake

she gave [tex]\frac{2}{6}[/tex] portion to her brother

The remaining cake is given by

[tex]\Rightarrow \dfrac{5}{6}-\dfrac{2}{6}=\dfrac{5-2}{6}\\\\\Rightarrow \dfrac{3}{6}[/tex]

i.e. [tex]\frac{3}{6}[/tex] portion of cake will remain with her

Answer:

iii. (l + m - n)(l - m + n)

vi. (5a -b) ( 5b - a)

Step-by-step explanation:

iii. l² - (m - n)²

= (l + m - n)(l - m + n)

vi. 4(a+b)² - 9(a-b)²

= (2(a+b))² - (3(a-b))²

= (2(a+b) + 3(a-b)) (2(a+b) - 3(a-b))

= (2a+2b + 3a - 3b) (2a+2b - 3a + 3b)

= (5a -b) ( 5b - a)

Q. 1) l²- (m - n)²

=(l - m + n)(l + m - n)

Q.2) 4(a+b)²- 9(a-b)²

= [(2(a+b))²- (3(a-b))²]

=[2(a+b)+3(a-b)][ 2(a+b)-3(a-b)]

=[2a+2b+3a-3b][2a+2b-3a+3b]

=[5a-b][5b-a] ]

Answer:

Given

f(x)=18,000(.88)^x

We need to find the value of x when f(x) <2000

2000 = 18000(0.88)^x

0.88^x 2000/18000

0.88^x 1/9

• x = log (1/9) / log (0.88)

• x= 17 (rounded down)

After 17 years or during year 18 the car value will drop below $2000