Work out the size of obtuse angle DOF, giving a reason for your answer.

Answer:

4.50r + 6.00f ≤ 35.00

Answer:

D, 180.

Step-by-step explanation:

2400 divided by 200 is 12, which means 2400 is 12 times 200

Next, times 15 by 12 which is 180.

Given:

The scale factor is [tex]s=\dfrac{1}{3}[/tex] and the center of dilation is at the point (4,2).

Red is original figure and green is dilated figure.

To find:

The coordinates of point C' and point A.

Solution:

Rule of dilation: If a figure is dilated with a scale factor k and the center of dilation is at the point (a,b), then

[tex](x,y)\to (k(x-a)+a,k(y-b)+b)[/tex]

According to the given information, the scale factor is [tex]\dfrac{1}{3}[/tex] and the center of dilation is at (4,2).

[tex](x,y)\to (\dfrac{1}{3}(x-4)+4,\dfrac{1}{3}(y-2)+2)[/tex]            ...(i)

Let us assume the vertices of red triangle are A(m,n), B(10,14) and C(-2,11).

Using (i), we get

[tex]C(-2,11)\to C'(\dfrac{1}{3}(-2-4)+4,\dfrac{1}{3}(11-2)+2)[/tex]

[tex]C(-2,11)\to C'(\dfrac{1}{3}(-6)+4,\dfrac{1}{3}(9)+2)[/tex]

[tex]C(-2,11)\to C'(-2+4,3+2)[/tex]

[tex]C(-2,11)\to C'(2,5)[/tex]

Therefore, the coordinates of Point C' are C'(2,5).

We assumed that point A is A(m,n).

Using (i), we get

[tex]A(m,n)\to A'(\dfrac{1}{3}(m-4)+4,\dfrac{1}{3}(n-2)+2)[/tex]

From the given figure it is clear that the image of point A is (8,4).

[tex]A'(\dfrac{1}{3}(m-4)+4,\dfrac{1}{3}(n-2)+2)=A'(8,4)[/tex]

On comparing both sides, we get

[tex]\dfrac{1}{3}(m-4)+4=8[/tex]

[tex]\dfrac{1}{3}(m-4)=8-4[/tex]

[tex](m-4)=3(4)[/tex]

[tex]m=12+4[/tex]

[tex]m=16[/tex]

And,

[tex]\dfrac{1}{3}(n-2)+2=4[/tex]

[tex]\dfrac{1}{3}(n-2)=4-2[/tex]

[tex](n-2)=3(2)[/tex]

[tex]n=6+2[/tex]

[tex]n=8[/tex]

Therefore, the coordinates of point A are (16,8).

Answer:

0.15

Step-by-step explanation:

6 divided by 24 equals 0.25

12 divided by 30 equals 0.4

0.4 minus 0.25 is 0.15

Answer:

area of the rectangle =8*15=120sq.m

area of semi circle =1/2*π*4*4

=1/2*22/7*4*4=22/7*8=176/7=2.51sq.m

Answer:

51.2 dollars

Step-by-step explanation:

you have to multiply 6.40 by 8

Answer:

✓ ✓ ✓

-6 X X✓ ✓ ✓

-6 X X

Answer:

WHY?

Step-by-step explanation:

i need 1 MORE BRAINLIEST!!!

Answer:

5544cm (squared)

Step-by-step explanation:

Surface area of a sphere=4πr  (squared) =4×  7/ 22 ×21×21cm  (squared)  

Surface area of the sphere=5544cm  

.

Answer:

Area = 5164.8 cm; volume = 38792.4 centimeters

Step-by-step explanation:

Since the radius is known, we can substitute it for r in the first formula.

A = 4πr²

A = 4π(21)²

A = 4π(411)

A = 12.566370614359 * 411

A = 5164.8

V = 4/3πr^3

V = 4/3π21^3

V = 4/3π(9261)

V = 4.1887902047863 * 9261

V - 38792.4

Answer:

Step-by-step explanation:

discount = 65% of $37.35 = 0.65×37.35 ≅ $24.28

sale price = $37.35 - 24.28 = $13.07

Answer:

1.50x+10=34

Step-by-step explanation:

1. There would be 2 slices as the denominator is 2.

2. There would be 5 slices as the denominator is 5.

3. As each slice gets smaller, the denominator gets bigger, because the bigger the denominator is, the more pieces it needs to make a whole.

Hope this helps :)

There are 2 pieces if each slice is 1/2 of a loaf, and 5 pieces if each slice is 1/5 of a loaf, and the total number of pieces get increases if each slice gets smaller.

When fractions are represented on a number line, we can plot them on a number line just like we can with whole numbers and integers. Parts of a whole are represented by fractions. In order to depict fractions on a number line, equal pieces of a whole are divided.

Given A loaf of bread is cut into slices.

1. If each slice is 1/2 of a loaf, how many slices are there,

here slices are  1/2 of the loaf so the loaf is divided into two equal parts,

1/2 + 1/2 = 1

2. If each slice is 1/5 of a loaf, how many slices are there,

here loaf has 5 equal parts,

1/5 + 1/5 + 1/5 +1/5 + 1/5 = 1 loaf

3. What happens to the number of slices as each slice gets smaller?

the value of the denominator in fraction goes on increasing and since the value is increasing the number of slices also gets increases.

Hence there are 2 pieces for 1/2 of the loaf,

5 pieces for 1/5 of the loaf,

and the number of slices increases when each slice gets smaller.

Learn more about fractions on number lines;

https://brainly.com/question/17658856

#SPJ5

Step-by-step explanation:

5x³ - 45x

5x(x² - 9)

Or 5x(x-3)(x+3)

[tex]\tt{} {5x}^{2} - 45x[/tex]

[tex]\tt{}5x \times ( {x}^{2} - 9)[/tex]

[tex]\tt{}5x \times (x - 3) \times ( x + 3)[/tex]

Answer:

1. Given

2. Reflection property of congruence

3. Definition of a a midpoint

4. Reflexive property of congruence

5. CPCTC

Step-by-step explanation:

Answer:

1/5

Step-by-step explanation:

[tex]hope \: it \: helps \: you[/tex]

Answer: it would be B "4.05"

Step-by-step explanation:

2.5 x 1.8 x 0.9 = 4.05

Answer:

4.05 m^3

Step-by-step explanation:

Calculate volume with this formula:

LxWxH (length x width x height)

0.9 x 2.5 x 1.8 = 4.05

Don't forget the unit! It's m^3 or m³ since we are finding the volume of a three-dimensional figure.

So our answer is 4.05 m^3.

Answer:

8.5

Step-by-step explanation:

BF * EF = CF * DF

7 * 17 = CF * 14

119 = CF * 14

CF = 119 / 14

CF = 8.5

Answer:

20 cm

Step-by-step explanation:

5x + 32 + 6x + 4 = 80

11x + 36 = 80

11x = 44

x = 4

sides of triangle:

5(4) = 20 cm

32 cm

6(4) + 2 = 26 cm

Answer:

7.4% increase (approximated)

Step-by-step explanation:

✔️Dimension of the original rectangle:

Length = 30 cm

Width = 20 cm

Perimeter = 2(L + W) = 2(20 + 30) = 2(50) = 100 cm

✔️Dimension of new rectangle:

Length is increased by 10% = 10/100 × 30cm = 3 cm

New length = 30 + 3 = 33 cm

Width is increased by 5% = 5/100 × 20cm = 1 cm

New width = 20 + 1 = 21 cm

✔️Perimeter of New rectangle = 2(L + W) = 2(33 + 21) = 2(54) = 108 cm

✔️Percentage increase in the perimeter of the rectangle = (perimeter of New rectangle - perimeter of original rectangle)/perimeter of original rectangle × 100

= (108 - 100)/108 × 100

= 8/108 × 100

≈ 7.4% increase

Answer:

$1456.25

Step-by-step explanation:

Given data

P= $1,250

t= 3 years

r=5.5%

The compound interest expression is given as

A= P(1+r)^t

substitute

A=  1250(1+0.055*3)

A=  1250(1+ 0.165)

A= 1250(1.165)

A= 1456.25

Hence the amount after 3 years is $1456.25

Answer:

option A is the answer hope you find it helpful

Answer:

x = -1.791 and x = 2.791

Step-by-step explanation:

Graphing x^2 - x - 2 = 3

we got 2 intersects at x = -1.791 and x = 2.791

Answer:

I dont know if this is the right answer hehe

Answer:

4/35, 0.114, 11.4%

Step-by-step explanation:

THE ANSWER FOR THIS IS

30%

Answer:

#1

Zeroes: x = 4, x = -6

The vertex is at ( -1 , 50 )

Step-by-step explanation:

I'll do the first one, you try the rest

All of these are written in y = a(x - x1)(x - x2) where x1 and x2 are given and x are the two different zeroes (or x-intercepts)

f(x) = -2(x-4)(x+6)

The zeroes are x - 4 = 0 and x + 6 = 0 if you solve, you get 4 and -6

Zeroes: x = 4, x = -6

The x value of the vertex can be found using -b/2a (in the form ax^2 + bx + c)

First expand f(x)

-2(x^2 + 2x - 24) => -2x^2 - 4x + 48

b = -4 and a = -2

-(-4)/2(-2) = 4/-4 = -1

the x-value of the vertex is -1

Now substitute -1 as x to find the y-value of the vertex

-2(-1-4)(-1+6) = -2(-5)(5) = 50 <= y-value of vertex

The vertex is at ( -1 , 50 )

Answer:

9

Step-by-step explanation:

i did the same thing on k12

Answer:

(-.5)

Step-by-step explanation: