Which angle measures 30 degrees?

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

Answer:

This is a net

Step-by-step explanation:

Good Luck!!

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: sqrt(182)

Step-by-step explanation:

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:

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

[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:

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

= 40 - 11x

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

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]

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.

Answer:

A quadratic inequality is an equation of second degree that uses an inequality sign instead of an equal sign. The solutions to quadratic inequality always give the two roots. The nature of the roots may differ and can be determined by discriminant (b2 – 4ac).

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:

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

Answer:

Five feet

Step-by-step explanation:

H = A ÷ L

H = 65 ÷ 13

H = 5 ft

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.

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

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!

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:

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:

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°

Step-by-step explanation:

What is 40% of 400?

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:320 cubic cm

Step-by-step explanation:  if you  multiply 16x20m  you get 320  cm

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:

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