23). figure b is a scale image of figure a enter the scale factor applied.
24). to figure A to produce fiber B

Answer:

Step-by-step explanation:

Area of figure I = length *width

                          = 4 * 5

                          = 20 m²

Figure II is a trapzium.

a and b  are the parallel sides. a = 21 m

b = 20 - 5 = 15 m

h =  3 + 4 = 7 m

[tex]\text{area of figure 2 = $\dfrac{(a + b)*h}{2}$}[/tex]

                       [tex]=\dfrac{(21+15)*7}{2}\\\\\\=\dfrac{36*7}{2}\\\\\\= 18*7\\\\= 126 \ m^{2}[/tex]

Area of the figure = 20 + 126

                               = 146 m²

Answer:

146 m²

Step-by-step explanation:

Formulae

Area of a rectangle = width x length

Area of a triangle = 1/2 x base x height

Divide the figure into 2 rectangles and a triangle (see attachment).

Area of Rectangle 1 = 4 x 5 = 20 m²

Area of Rectangle 2 = (3 + 4) x (20 - 5) = 105 m²

Area of triangle 3 = 1/2 x (21 + 5 - 20) x (3 + 4) = 21 m²

Total area = 20 + 105 + 21 = 146 m²

to find the reciprocal just switch the numerator and the denominator.

= 8/5 ( 8 by 5 )

Answer:

1/52.

Step-by-step explanation:

The suit AND the number must be correct.

When you see AND in a probability question think 'multiply'.

That would be 13/52 * 4/52

= 52/(52)^2

= 1/52.

Answer:

carly=25 camden=5

Step-by-step explanation:

carly:camden= 5:1

5+1=6

30/6=5

carly= 5x5=25

camden=5x1=5

Answer:

5x²+3x+4

Step-by-step explanation:

(2x²+x+3)+(3x²+2x+1)

add 2x² and 3x² since they're like terms

5x²+x+3+2x+1

add 2x and x = 3x

5x²+3x+3+1

add 3 and 1 = 4

5x²+3x+4

Step-by-step explanation:

The outer angle at the top C of the ABC is 112 °. If the bisector of the side AB intersects the side AC at point Q and the segment BQ is perpendicular to AC, find the magnitude of ABC

Answer:

1 and 6

5 and 7

Step-by-step explanation:

Supplementary angles are 180 degrees and so is a linear pair

1 and 6 add up to 180 degrees meaning they are supplementary. Angle 1 and angle 2 are a linear pair so 180-120=60 which is the degree of angle 1, angle 2 corresponds to angle 6, so angle 1 + angle 6 would equal 180 degrees. (120+60)

5 and 7 are a linear pair which automatically makes them supplementary

The others are vertical angles which don't add up to 180. (120+120=240)(60+60=120)

Answer:

hi! this is (insert your name) what does this sybol/mathematical term mean?

√

Step-by-step explanation:

Answer:

Below

Step-by-step explanation:

Greetings Mrs.(name here)!

I got my recent test back and I was wondering why this question was incorrect.

For #4, I was sure that you had to find the square root and then multiply by pi, but apparently that's not what some people did and they got it correct.

How do I properly do this question?

-*name here*

Answer:

453

Step-by-step explanation:

12×48=576 (number of stickers she has)

576-123=453 (number of stickers she had-number of stickers she had left)

Answer:

Fraction: 13/30

Decimal: 0.43

Percentage: 43%

Answer:

Step-by-step explanation:

Let the cost be A.

a) Cost to run ad for one week:

b) Cost to run ad for four weeks:

Answer:

See below ↓↓

Step-by-step explanation:

Cost to run one week

Cost to run four weeks

Answer:

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

Answer:  B

Step-by-step explanation:

Answer:

$5.10/h

Step-by-step explanation:

85/5 = 17

it increased 17 times, so did the worker

.30x17= $5.10

Answer:

(0,-4), (2,6), and (4, 16) are solutions to this equation.

Yes the point (-5,-29) is a solutions

Step-by-step explanation:

(-5,-29) is a solution because if you plug in -5 for x, y will equal to the y in the ordered pair.

a) Three ordered pairs (0, -4), (2, 6), and (-3, -19) that are solutions to the linear equation y = 5x - 4.

b) We verified that the point (-5, -29) is a solution to the equation by substituting its x and y values and getting a true statement.

a. To find ordered pairs that are solutions to the linear equation y = 5x - 4, we can simply substitute different values of x into the equation and calculate the corresponding y-values.

Let's choose three different values for x and calculate the corresponding y-values:

When x = 0: y = 5(0) - 4 = -4

So, the ordered pair is (0, -4).

When x = 2: y = 5(2) - 4 = 6

So, the ordered pair is (2, 6).

When x = -3: y = 5(-3) - 4 = -19

So, the ordered pair is (-3, -19).

b. To test whether the point (-5, -29) is a solution to the linear equation y = 5x - 4, we need to check if substituting x = -5 into the equation gives us y = -29.

Let's do the calculation:

y = 5(-5) - 4

y = -25 - 4

y = -29

Since y = -29 when x = -5, the point (-5, -29) is indeed a solution to the linear equation.

To learn more about linear equation click on,

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Answer:

f(-1)=2(-1)+5 = 3

f(2)=2(2)+5 = 9

f(0)=2(0)+5 = 5

2z+5

Answer:

14.3 Cm

Step-by-step explanation:

Step 1: A^2+B^2=C^2

Step 2: 3^2+14^2=C^2

Step 3: 9+196=C^2

Step 4: 205=C^2

Step 5: 14.3=C

21 V³ 15- 9V³15

= (21-9)V³15

= 12V³15

Answer:

See step by step explanation

Step-by-step explanation:

To reconize a geometric sequence, the factor at which one number is greater than the previous number should always be the same
For example,
2,4,8,16,32,64,128,256,512,1024 is a geometric sequence since the next number is always greater than the previous number by a factor of 2
to find the n-th term in a sequence, we can use a formula.
Going back to the example, let's label each number with a term

to find the nth term of this specific sequence, we need to find two things
the first number of the sequence, and the factor at which this sequence increases at
the first number is 2, so n1 = 2
each term increases by a factor of 2 (2*2=4, 4*2=8, 8*2=16, 16*2=32, 32*2=64), so the factor is 2

the equation is:
(the initial term)*(the factor)^(the term number - 1)
so,
[tex]2*2^{n-1}[/tex] is our equation

We can check our equation by plugging in a number
looking back at our list, we see that the 7th term is 128
plug in 7 into out equation
[tex]2*2^{7-1}=2*2^6=2^1*2^6=2^7=128[/tex], so our equation works

Here's a practice problem

for the sequence 3,9,27,81,243,729, what is the factor which the sequence increases at? what's the initial number? what's the equation for this sequence?

a harder practice problem:

for the sequence 2,6,18,54,162,486, what is the factor at which the sequence increases at? what's the intitial number? what's the equation for this sequence? what's the 8th term of this sequence if it were to be continued?

Yes we can

the formula given to find the terms is

Where

(I named the empty line y)

y²= 9²+5²

= 81+25

=106

y= V106

y≈10.30

x²= 4²+y²

= 4²+ (V106)²

= 16+106

=122

x≈11.05

Answer:

23/58

Step-by-step explanation:

number of people that support the issue. (58)

start with that first because it is given

now find the number of democrats that are in that column which is 23

Answer: 6.15 you already solved it congrats

Step-by-step explanation:

you already equal both amount equations to each other therefore you are solving for the hours he gets equal pay

Answer:

2/81

Step-by-step explanation:

Firstly find out the common ratio.

And then the general term.

And at last you can find any term(7th term in this case).

The 7th term of the sequence will be 13122.

We have the following sequence -

18, 6, 2 ...

The nth term of the geometric sequence will be a[n] = arⁿ ⁻ ¹.

a[7] = 18 x 3⁶

a[7] = 18 x 9 x 9 x 9

a[7] = 13122

Therefore, the 7th term of the sequence will be 13122.

To solve more questions on Equations, Equation Modelling and Expressions visit the link below -

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The given expression is the square of a binomial, such that:

(2x + 1)^2 = 4x^2 + 4x + 1

Then the correct option is C.

We want to see if:

(2x + 1)^2

Is equivalent to (4x^2 + 1).

First, this is false, let's prove that.

We have the square of a binomial (2x + 1)^2. Remember the general formula:

(a + b)^2 = a^2 + 2ab + b^2

So if we apply this to our expression we get:

(2x + 1)^2 = (2x)^2 + 2*2x*1 + 1^2 = 4x^2 + 4x + 1

Then, the correct option is C.

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

https://brainly.com/question/15246027

Answer:

Step-by-step explanation:

[tex]f(1) = 2\\f(2)=f(2-1)^2-5=(f(1))^2-5 = 2^2-5 = -1\\f(3) = f(3-1)^2 - 5=f(2)^2-5=(-1)^2-5=-4\\f(4) = f(4-1)^2-5 = f(3)^2-5 = (-4)^2-5 = 11[/tex]

so f(4) = 11

Hope that helps!

Answer:

f(4) = 11

Step-by-step explanation:

Given :

Solving :