To work out the area in m² of material required for a pair of curtains, a seamstress squares the height of the window in m and adds 0.5.

a) What area of material is required for a window of height 1.2meters?

b) What area of material is required for a window of height p meters?

c) if the area of material required is 2.75m²,what is the height of the window?​

The given point (2,5) is in the form (x,y). So x = 2 and y = 5.

Plug x = 2 into the equation given to find the predicted y value

y = 2.5x - 1.5

y = 2.5(2) - 1.5

y = 5 - 1.5

y = 3.5

We get a predicted y value of 3.5, and the actual y value is 5. Subtract the two values in this exact order

residual = (actual) - (predicted) = 5 - 3.5 = 1.5

A positive residual means that our predicted value is too small. A negative residual would be that the predicted value is too large.

Answer:

d=1.5

Step-by-step explanation:

y=2.5x-1.5   point (2,5)

f(2)=2.5(2)-1.5

f(2)=3.5           now we have two point , find the distance between them

(2,5) and (2,3.5)

d=√(x2-x1)²+(y2-y1)²

d=√(2-2)²+(3.5-5)²=

d=√1.5²=1.5

tried different way, it is 1.5

Answer:

D

Step-by-step explanation:

What we need to do here is to calculate the required probability and convert to percentage

Firstly, we start by calculating the z-scores of the two boundary limits

Mathematically;

z-score = (x-mean)/SD

Form the question, we can see that the mean is 103 and the standard deviation is 11

so for 115, z-score would be

z-score = (115-103)/11 = 1.1

For 145, z-score would be

(145-103)/11 = 3.8

So the probability we want to calculate would be;

P(1.1<z<3.8)

We use the standard normal table for this

Mathematically;

P(1.1<z<3.8) = P(z<3.8) - P(z<1.1) = 0.13559

which to percentage is 13.559 %

The closest answer here is D

Answer:

-4

Step-by-step explanation:

In order to get from point -1, 8, to point 2, -4, you would have to go down 12 and right 3, which would be 12/-3, which would simplify to -4

Answer:

Option B is the correct option

Step-by-step explanation:

Let the points be A and B

A ( -1 , 8 ) -----> ( x1 , y1 )

B ( 2 , -4 ) -----> ( x2 , y2 )

Now, let's find the slope of the line:

[tex] \frac{y2 - y1}{x2 - x1} [/tex]

plug the values

[tex] = \frac{ - 4 - 8}{2 - ( - 1)} [/tex]

Calculate the difference

[tex] \frac{ - 12}{2 - ( - 1)} [/tex]

When there is a (-) in front of an expression in parentheses , change the sign of each term in expression

[tex] \frac{ - 12}{2 + 1} [/tex]

Add the numbers

[tex] = \frac{ - 12}{3} [/tex]

Reduce the fraction with 3

[tex] = - 4[/tex]

Hope this helps..

Best regards!!

Answer:

3x^2 + 3/2 x -9

Step-by-step explanation:

f(x) = x/2 -3

g(x) =3x^2 +x -6

(f+g) (x) =  x/2 -3 + 3x^2 +x -6

   Combine like terms

            = 3x^2 + x/2 +x -3-6

              = 3x^2 + 3/2 x -9

Answer:

4

Step-by-step explanation:

For the first triangle which is triangle <KJL

Hypotenuse= 8✓2

Angle=30°

Opposite = ?

Therefore we will use Sine formula

Sin30° = Y/8✓2

Y=4✓2

For the second triangle which is triangle <JML

Hypotenuse= 4✓2

Opposite=X

Angle=45°

Therefore we will use Sine formula again

Sin45°=X/4✓2

X=4

Answer:

Step-by-step explanation:

ΔJKL is half of equilateral triangle and ΔJML is half of square.

We can use properties of these triangles (picture):

m∠KJL=90° and m∠JKL = 30° ⇒  JL = 0.5KL = 0.5•8√2 = 4√2

m∠JML=90° and m∠MJL = 45° ⇒  JL = ML√2

                                                        4√2 = x√2

                                                             x = 4

Answer:

p= -1

Step-by-step explanation:

gradient=y²-y¹

x²-x¹

-1 =p-2

9-6

-1=p-2

3

multiply both sides by 3 to remove the denominators

-1×3=p-2

-3=p-2

put the like terms together

-3+2=p

-1=p

Answer:

3x-4

Step-by-step explanation:

Have a good day!!

Answer:

3x-4

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

If y=x, than the only way

y=rx can be possible is if r=1

Hope this helps!

Have a good day! :)

Answer:

1

Step-by-step explanation:

y = rx

Use any set of x and y-coordinates in the equation and solve for r.

For example, use (5.8, 5.8).

5.8 = r(5.8)

Divide both sides by 5.8:

r = 1

Answer: r = 1

Answer:

Equation: -5 + 12

Overall change: 7 yards

Step-by-step explanation:

In the problem, it says "lost 5 yards". "Lost" is another way of saying subtraction or negative. Therefore, our starting number is -5.

The problem also says "gained 12 yards". "Gained" is another was of saying addition or positive. Therefore, our second number is positive 12.

Together, these two numbers look like this: -5 + 12. To add them, go 12 to the right of -5 if on a number line. That would be like this: -5, -4, -3, -2, -1, 0, etc until you get to 7 which should be 12 more than -5.

Therefore, the answer is 7 yards.

so first day and so on

7, 10, 13,....

as you can see it's an arithmetic progression

so sum for nth term= n/2 { 2a + (n-1) d}

it's the sum of the 7th term

so

7/2 { 7 ×2 + ( 7-1) 3}

7/2 × 32

7× 16

112 fishes

Answer:

I think the answer is 25

Step-by-step explanation:

Greetings from Brasil...

Here we don't have much to go

∛Y = A.(C + 1/X)

∛Y = (AC + A/X)

raising both members to the cube.....

(∛Y)³ = (AC + A/X)³

from Notable Products: (a + b)³ = a³ + 3a²b + 3ab² + b³

Y = (AC)³ + 3(AC)².(A/X) + 3AC(A/X)² + (A/X)³

Y = A³[C³ + (3C²/X) + (3C/X²) + (1/X³)]

Answer:

x = -3 , x = 1

Step-by-step explanation:

Hello,

you need to draw the graph of the two functions and then find the intersection points.

please see below

So the solution is the two points A and B

(-3,9) and (1,1)

Hope this helps

Answer:

The unit price at the village market is 2.80 / 5 = 0.56 and the unit price at Sam's Club is 4.90 / 10 = 0.49. Since 0.49 < 0.56, the answer is Sam's Club.

Answer: Sam's club

Step-by-step explanation:

Because 10/2 = 5, at Sam's club you get twice the beans.  Thus, simply multiply 2.8*2 = 5.60.  Because $5.60>$4.90, the village market is the worse place to buy.

Answer:

A. 3

Step-by-step explanation:

ΔDEC is bigger than ΔABC by 5. For the hypotenuse, 25 is 5 times bigger than 5.

So, side DE on ΔDEC has to be 5 times bigger than side AB on ΔABC.

If side AB equals 3, side DE equals 18 - 3, which is 15.

15 is five times bigger than 3, so the answer is A. 3.

Hope that helps.

Answer:

-2

Step-by-step explanation:

The slope formula is

m = ( y-2-y1)/(x2-x1)

Using two points on the line  (0,4) and  (2,0)

m = ( 0-4)/(2-0)

   = -4/2

  =-2

Answer:

-2

Step-by-step explanation:

Slope is change in y over change in x

the change in y is -2 and the change in x is 1 so you do -2/1 and that as a whole number is -2.

Answer:

it is c because i took test review

Step-by-step explanation:

Answer:

C The solution should be 6, and the cyclists will need to ride 6 laps before the sprint to the finish.

Answer:

1024

Step-by-step explanation:

so first you would do 2^10 and 2^20

2^10 = 1024

2^20 = 1048576

then you would just divide 1048576 by 1024

1048576 / 1024 = 1024

Answer:

Step-by-step explanation:

Hello!

Y varies directly with X, meaning that every time X increases/ decreases, the value of Y is modified.

If Y=12 when X=4 then you can say that Y varies 3 times every time X varies 1 unit

12= 4*z

z=12/4= 3

So Y= 3x

With this in mind:

1) x= 8

Y= 3*8= 24

2) x= 3

Y= 3*3= 9

3) Y= 6

Y= 3x

x=Y/3= 6/3= 1

I hope this helps!

Answer:

Option B is the correct option.

Step-by-step explanation:

[tex] {(4 - 2)}^{3} - 3 \times 4[/tex]

Subtract the numbers

[tex] = {(2)}^{3 } - 3 \times 4[/tex]

Multiply the numbers

[tex] = {(2)}^{3} - 12[/tex]

Evaluate the power

[tex] = 8 - 12[/tex]

Calculate the difference

[tex] = - 4[/tex]

Hope this helps..

Best regards!!

Answer:

[tex]\boxed{-4}[/tex]

Step-by-step explanation:

[tex](4-2)^3-3 \times 4[/tex]

Brackets or parenthesis are to be evaluated first. Subtract the numbers in the brackets.

[tex](2)^3-3 \times 4[/tex]

Evaluate the power or exponent.

[tex]8-3 \times 4[/tex]

Multiply the numbers.

[tex]8-12[/tex]

Finally, subtract the numbers.

[tex]=-4[/tex]

Answer:

x= 2.5

Step-by-step explanation:

We can use ratios to solve

AB          AD

------- = ----------

AC          AE

X          5

------- = ----------

x+1         7

Using cross products

7x = 5(x+1)

Distribute

7x = 5x+5

subtract 5x

7x-5x = 5x-5x+5

2x= 5

Divide by 2

2x/2 = 5/2

x = 2.5

Answer:

37.8 m

Step-by-step explanation:

The computation of the distance is shown below:

In triangle ADE

[tex]AD^2 = AE^2 + DE^2 \\\\ AD^2 = 5^2 + 3^2 \\\\ AD^2 = 34[/tex]

AD = 5.8

Now the distance walked after completing his edging is

Distance = AD + AB + BC + CD

= 5.8 + 12 + 5 + 15

= 37.8 m

We simply added these four sides so that the correct distance could arrive

Hence, the distance walked after completing his edging is 37.7

Answer:

32.8 cm

Step-by-step explanation:

decagons have 10 sides, so 328/10=32.8

Answer:

32.8 cm

Step-by-step explanation:

A regular decagon has 10 equal sides.

The perimeter of the decagon is 328 centimeters. The perimeter is the measure of all 10 sides added together. Since this is a regular decagon, all 10 sides are equal. Therefore, we can divide 328 by 10.

328 / 10

32.8

Add units, in this case, centimeters or cm.

32.8 cm

Each side of the decagon is 32.8 centimeters.

Answer:

D.

Step-by-step explanation:

To find the equation of g(x), we can substitute the point into each of the equations.

A. g(x) = (1/4x)^2

1 = (1/4 * 2)^2

1 = (1/2)^2

1 = 1/4

This statement is false, so this is not the equation.

B. g(x) = 1/2 * x^2

1 = 1/2 * (2)^2

1 = 1/2 * 4

1 = 2

This statement is false, so this is not the equation.

C. g(x) = 2x^2

1 = 2 * 2^2

1 = 2 * 4

1 = 8

This statement is false, so this is not the equation.

D. g(x) = (1/2x)^2.

1 = (1/2 * 2)^2

1 = 1^2

1 = 1

This statement is true, so this is your answer.

Hope this helps!

Answer:

AC = EF

Step-by-step explanation:

ABC = DEF

You would need to know that AC = EF

In the first place, using deduction we know that we dont need another angle. We also know that BC does not equal DF by looking at the angles on the triangles.

The solution is : ∠C ≅ ∠F is congruent to show that ΔABC ≅ ΔDEF, else would need to be congruent to show that AABC= ADEF by the AAS theorem.

The angle-angle-side theorem, or AAS, tells us that if two angles and a non-included side of one triangle are congruent to two angles and a non-included side of another triangle, then the triangles are congruent.

here, we have,

to find congruency in a triangle:

ΔABC ≅ ΔDEF

Therefore,

AAS congruence rule or theorem states that if two angles of a triangle with a non-included side are equal to the corresponding angles and non-included side of the other triangle, they are considered to be congruent.

Therefore,

∠C ≅ ∠F

Hence, The solution is : ∠C ≅ ∠F is congruent to show that ΔABC ≅ ΔDEF, else would need to be congruent to show that AABC= ADEF by the AAS theorem.

learn more on AAS here:

brainly.com/question/2699309

#SPJ7

Answer:

Shaded area: 70cm^2

Step-by-step explanation:

Whole=120cm^2

White Square=

10-2.5-2.5=5

12-1-1=10

5✖️10=50cm^2

Whole-white=70cm^2

Answer:

C - LA = 2πrh

Step-by-step explanation:

Lateral surface area of right cylinder = 2 * π * radius * height

Answer:

Step-by-step explanation:

Given the expression 1/6.43 +2/3.56 +1/8.51, If 'a' is a number, the reciprocal of such number is 1/a. According to the question, the reciprocal of 6.43, 3.56 and 8.51 are  1/6.43 and 1/3.56 and 1/8.51 respectively.

1/6.43 = 0.1555

2/3.56 = 2 * 1/3.56

= 2 * 0.2809

= 0.5618

1/8.51 = 0.1175

Taking the sum of the reciprocals;

1/6.43 +2/3.56 +1/8.51 = 0.1555 + 0.5618 + 0.1175

1/6.43 +2/3.56 +1/8.51 = 0.8348

Hence, the sum of 1/6.43, 2/3.56 and 1/8.51 is 0.8348

Respuesta:

Los 3 triángulos son semejantes.

Explicación paso a paso:

En estos casos nos dan a conocer los ángulos de los triángulos, por lo tanto el criterios de semejanza se reduce si más de dos de sus ángulos internos son iguales.  

Por lo tanto, sabemos que en los triángulos ABE y BCD presentan los mismos ángulos, 80°, 40° y 60° por lo que podemos afirmar que ambos triángulos son semejantes.

Ahora bien, para el triangulo BDE, podemos conocer solo un angulo del que es de 80°, pero el resto sería desconocido, lo que quiere decir que no podríamos determinar si es semejante con los otros, pero por medio de los ángulos externos determinamos que si corresponde también a 60° y 40°, por lo tanto, los 3 triángulos son semejantes.

Answer:

= [tex]\frac{34}{6561}[/tex]

Step-by-step explanation:

[tex]= 3^{-8}\times \:34\\= 34\times \frac{1}{3^{8} } \\= \frac{1\times \:34}{3^{8} } \\= \frac{34}{3^{8} } \\= \frac{34}{6561}[/tex]

Answer:

1/81

Step-by-step explanation: