Solve for area and perimeter in each of the following problems. (2)

The length of the dilated line segment is 80 units.

Dilation is the increase or decrease in the size of a figure or object.

The segment with endpoints (10,40) and (70,120) is dilated by a factor of 4/5 to get (8, 32) and (56, 96).

The distance between points (8, 32) and (56, 96) is:

[tex]Distance = \sqrt{(96-32)^2+(56-8)^2} =80\ units[/tex]

The length of the dilated line segment is 80 units.

Find out more on dilation at: https://brainly.com/question/10253650

Step-by-step explanation:

What is 40% of 400?

Answer: $8 , $8.25

Step-by-step explanation: It says “ half the price ” so half of 16 is ( 8 ) and half of 16.50 is ( 8.25 )

Answer:

algebraic expression for 180 degree clockwise rotation about the origin (x,y) → (-y, x) algebraic expression for 270 degree clockwise rotation about the origin equals a 270 degree counterclockwise rotation 90 degree clockwise rotation equals a 90 degree counterclockwise rotation

Step-by-step explanation:

hope this helps

have an awesome day -TJ

Answer:

C

Step-by-step explanation:

Just simplify each possible answer by dividing by the lowest common factor, and find the odd one out.

A. 24/36 =  2/3 (LCF of 12)

B. 8/12 = 2/3 (LCF of 4)

C.  12/16 = 3/4 (LCF of 4)

D. 4/6 = 2/3 (LCF of 2)

Answer:

C

Step-by-step explanation:

if you convert all of the fractions into decimal form the only answer that is not .6667 is c

Answer:

6x - 8x + 4 + 36 - 9x

= 40 - 11x

Answer:

17.5

Step-by-step explanation:

The area for a triangle is (base*height)/2 this means

(5*7)/2 = 17.5 units^2

Answer:

Step-by-step explanation:

base = b = 5 units

height = h = 7 units

[tex]\bf \boxed{\text{Area of triangle = $\dfrac{1}{2}bh$}}[/tex]

                           [tex]=\dfrac{1}{2}*5*7\\\\\\=\dfrac{35}{2}\\\\\\= 17.5 \ square \ units[/tex]

The cost of 1kg of coal mined from the ore is $0.0397

Data;

To find the cost of 1kg of coal, we can simply and equate 1 ton to its equivalent in ton and the solve.

[tex]1ton = 907kg\\[/tex]

let's write this and equate it

1 ton = $35.99

907kg = $35.99

1kg = x

Let's cross multiply both sides and solve for x

[tex]907kg = \$35.99\\1kg = x\\x = \frac{1 * 35.99}{907} \\x = \$0.0397[/tex]

The cost of 1kg of coal is $0.0397

Learn more on proportions here;

https://brainly.com/question/870035

Answer:

B. Square root of 48

Step-by-step explanation:

Using Pythagorean theorem. A^2 = B^2 + C^2

4^2 + x^2 = 8^2

16 + x^2 = 64

x^2 = 48

x = square root of 48

Answer:

yes your answer is 45 degree

Answer:

105°

Step-by-step explanation:

There 360° in a circle, so...

360°-150°-105°=105°

check: 150°+105°+105°= 360°

[Answer] 105°

The amount of orange that Manny and Josh have leftover after eating lunch is 1.

A fraction is a non-integer. A fraction usually has a numerator and a denominator. The numerator is the number above. While the denominator is the number below

Oranges Manny has left = 1 - 4/9 = 5/9

Oranges Josh has left = 1 - 5/9 = 4/9

Oranges they both have left = 5/9 + 4/9 = 1

To learn more about subtraction of fractions, please check: https://brainly.com/question/915789

Answer:

k = ±2√5 + 3

Step-by-step explanation:

[tex]k=3+2\sqrt5\ or\ k=3-2\sqrt5[/tex]

[tex]k^2-6k=11[/tex]

_______________________________________________

[tex]k^2-6k+(6\times\frac{1}{2})^2=11+(6\times\frac{1}{2})^2[/tex]

________________________________________________

[tex]k^2-6k+3^2=11+3^2[/tex]

_________________________________________________

[tex](k-3)^2=11+3^2[/tex]

__________________________________________________

[tex](k-3)^2=11+9[/tex]

___________________________________________________

[tex](k-3)^2=20[/tex]

______________________________________________________

[tex]k-3=\sqrt{20}\ or\ k-3=-\sqrt{20}[/tex]

________________________________________________________

                                 [tex](k-3=\sqrt{20})[/tex]

[tex]k=\sqrt{20}+3\\ k=2\sqrt{5}+3[/tex]

____________________________________________________

                               [tex](k-3=-\sqrt{20})[/tex]

[tex]k=\sqrt{20}+3\\ k=-2\sqrt{5}+3[/tex]

_____________________________________________________

[tex]k=2\sqrt{5}+3\ or\ k=-2\sqrt{5}+3[/tex]

_____________________________________________________

[tex]k=2\sqrt{5}+3\ or\ k=-2\sqrt{5}+3[/tex]

_____________________________________________________

I hope this helps you

:)

Answer:

P = $1,064.79

Step-by-step explanation:

the equation we will use is P = A / (1 + rt), where P=principle, A=amount payed, r=rate(interest), and t=time. first convert the rate into a decimal (0.035) and then plug in the numbers into the equation P = 1512 / ( 1 + (0.035 × 12)) = 1064.79

Answer:

34? Idek

Step-by-step explanation:

Answer:

33

Step-by-step explanation:

To maximize the length of the third side, which I'll call x, it needs to be the longest side.

So by the triangle inequality theorem, 19+15>x, meaning the maximum whole number value of x is 33.

Definition of a trapezoid: a quadrilateral with one pair of parallel sides

Thus PQRS is a trapezium because Line PQ is parallel to line SR

Hope that helps!

[tex]\sf are a \ of \ triangle : \frac{1}{2}*base *height[/tex]

[tex]\sf are a \ of \ rectangle : Length * Width[/tex]

total area :

[tex]\sf are a \ of \ rectangle + area \ of \ triangle[/tex]

[tex]\rightarrow \sf 9 * 10 + \frac{1}{2} *8.5*10[/tex]

[tex]\rightarrow \sf 132.5 \ in^2[/tex]

Answer:

22 feet

Step-by-step explanation:

The area of a circle is π · r².

So, step one is to figure out the radius, so taking that equation, we can say π · r² = 121π.

Divide both sides by π to get r² = 121

Then, you take the square root of both sides to leave r = 11.

The diameter is twice as long as the radius, so multiply 11 · 2 to get 22.

The diameter is 22 feet long.

Answer:

The exact value of sin 22.5° using the half-angle formula is √(2 - √2) / 2 or 0.38

Step-by-step explanation:

Let us consider θ = 22.5 º

Therefore, sin2θ =  [(1− cos 2θ) / 2] -------(1)

If θ = 22.5° then 2θ is 45°.

On substituting the value of θ in equation (1), we get

sin2 22.5° =  [(1− cos (2 × 22.5°)) / 2]

sin2 22.5° =  [(1− cos 45°) / 2]

sin2 22.5°=  [ [1 - (1 / √2)] / 2 ]

sin2 22.5°=  (2 - √2) / 4 [ on simplifying the above RHS value ]

sin 22.5° = [√(2 - √2) / 2]

After substituting the value of √2 as 1.414 in the above equation, we get

sin 22.5°= 0.38

Cone:

radius r = 4 inches

height h = 18 inches

volume = πr²h/3 = (3.14)(4²)(18)/3 ≈ 301.44 cm³

Cylinder:

r = 4 inches

h = 3 inches

volume = πr²h = (3.14)(4²)(3) = 904.32 cm³

Volume of cylinder is three times the volume of cone

Answer:

1

Step-by-step explanation:

[tex] \tan( \frac{5\pi}{4} ) \times \frac{\pi}{180} = 1.19[/tex]

The question wants in radian, not in degrees since using the unit circle. Hope this helps

Answer:

a) 1

Step-by-step explanation:

Tan 5pi/4: 1

Tan (-5pi/4): -1

Tan 5pi/4 in degrees: tan (225°)

Answer:

[tex]\filldraw (10,0) rectangle ++(3pt,3pt);[/tex]

Answer:

Step-by-step explanation:

The given transformation moves each point horizontally to the same distance on the other side of the y-axis. This is shown in the attachment.

__

The given rule ...

  (x, y) → (-x, y)

is the most precise description of the transformation. In English, it can be described as a reflection in the y-axis.

Answer:

Volume: 37.7cm3

It will melt in 21 minutes.

Step-by-step explanation:

Volume of a sphere: 4/3 x pi x r^2

4/3 X pi x 3^2 = 37.7cm3

37.7/1.8=20.943 minutes

Answer:

Five feet

Step-by-step explanation:

H = A ÷ L

H = 65 ÷ 13

H = 5 ft

Answer:

This is a net

Step-by-step explanation:

Good Luck!!

Answer:

1 and 3

Step-by-step explanation:

Answer:

The heights of the buffaloes’ players vary more than do the warriors’ heights.

The heights of the buffaloes’ players and those of the panthers vary about the same.

Step-by-step explanation:
credit to km1329 in a comment

Answer: sqrt(182)

Step-by-step explanation:

Answer:

2n+22

Step-by-step explanation:

22 more than twice a number

n represents the number.

twice a number --> 2n

22 more than --> +22

2n+22

Hey there!

Guide:

• Difference means subtract/subtraction
• Product means multiply/multiplication
• Quotient means divide/division
• Sum means add/addition
• “more than”, “greater than” or “increased by” either means add/addition or >
• “less than, “smaller than”, or “decreased by” either means subtract/subtraction or <

• “unknown number” is a number we’re NOT so sure yet so we label them as variables. A variable is any letter from A to Z.

ANYWAYS, LETS ANSWER the QUESTION

“22 more than 2 twice a number”

• Since, your instructions say that “n” will be the unknown number, we should label the unknown number as that!

“22 MORE THAN twice a NUMBER”

This could be simply written as:

“22 > 2n” or even “2n + 22”

But we will just say that’s [2n + 22] would mostly fit this scenario

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)