Rectangle ABCD was dilated to create rectangle A'B'C'D. Triangle A B C D is dilated to form triangle A prime B prime C prime D. Side B C is 3.8 units. Side A prime B prime is 15 units and side B prime C prime is 9.5 units. What is AB?

Answer:

(-4.58, -2)

Step-by-step explanation:

[tex]\theta $ is in between \pi$ and $\frac{3\pi}{2}$ radians \\Therefore, \theta$ is in Quadrant III\\If \csc \theta = -\dfrac{5}{2}$ and cosec \theta = \dfrac{Hypotenuse}{Opposite} \\ $Therefore:\\Hypotenuse = 5\\Opposite $=-2[/tex]

Using Pythagoras Theorem

[tex]5^2=(-2)^2+ x^2\\25=4+x^2\\x^2=21\\x=\sqrt{21} \approx 4.58[/tex]

Since the angle is in the third Quadrant, Adjacent = -4.58.

Therefore, the coordinates of P(x,y) is (-4.58, -2)

Answer: a

Step-by-step explanation: edge 2021

Answer:

15 ft²

Step-by-step explanation:

Area of a Triangle Formula: 1/2bh

We are given b and h. Simply plug them in and calculate:

1/2(5)(6)

3(5)

15

Answer:

3234

4312

5390

Step-by-step explanation:

3x +4x + 5x = 12936

12x = 12936

Answer:

120°

Step-by-step explanation:

The intercepted arc MN is twice the measure of the inscribed angle NLM

arc MN =2 × 60° = 120°

Answer:

y = 6x - 23

Step-by-step explanation:

Step 1: Write out known variables

y = 6x + b

Step 2: Find b

-5 = 6(3) + b

-5 = 18 + b

b = -23

Step 3: Write it all out

y = 6x - 23

And we have your equation!

Answer:

here is the answer from edge

Step-by-step explanation:

Answer:

([tex]\frac{2}{3} , \frac{1}{5}[/tex])

Step-by-step explanation:

The fastest way to do this is to convert both equations into slope-intercept form and graph it to find the solution point. If you wanted to do this algebraically, you might want to start out by getting rid of the fractions and using either substitution or elimination to find x and y.

Answer:

1st Graph

Step-by-step explanation:

Easiest and quickest way is to graph the function in a graphing calc and then choosing the best answer.

[tex]\displaystyle\bf\\2cos^2y -sin\,y -1=0~~~for~~0^o\leq y \leq360^o\\\\cos^2y=1-sin^2y\\\\2(1-sin^2y) -sin\,y -1=0\\\\2-2sin^2y-sin\,y-1=0\\\\-2sin^2y-sin\,y+2-1=0\\\\-2sin^2y-sin\,y+1=0~~~\Big|\times(-1)\\\\2sin^2y+sin\,y-1=0[/tex]

.

[tex]\displaystyle\bf\\\boxed{\bf sin\,y=x}\\\\2x^2+x-1=0\\\\x_{12}=\frac{-b\pm\sqrt{b^2-4ac}}{2a}=\frac{-1\pm\sqrt{1-4\cdot2\cdot(-1)}}{2\cdot2}=\\\\=\frac{-1\pm\sqrt{1+8}}{4}=\frac{-1\pm\sqrt{9}}{4}=\frac{-1\pm3}{4}\\\\x_1=\frac{-1+3}{4}=\frac{2}{4}=\boxed{\bf\frac{1}{2}}\\\\x_2=\frac{-1-3}{4}=\frac{-4}{4}=\boxed{\bf-1}\\\\sin\,y=\frac{1}{2}\\\\\boxed{\bf y_1=\frac{\pi}{6}~~or~~(30^o)}\\\\\boxed{\bf y_2=\frac{5\pi}{6}~~or~~(150^o)}\\\\sin\,y=-1\\\\\boxed{\bf y_3=\frac{3\pi}{2}~~or~~(270^o)}[/tex]

Answer:

Since time can't be negative, the only possible solution is 0.72 s.

Step-by-step explanation:

When the ball hits the ground its height is equal to 0, so we must find a value for "t" that results in h = 0. We have:

[tex]-16*t^2 + 6*t + 4 = 0\\t_{1,2} = \frac{-6 \pm \sqrt{(6)^2 - 4*(-16)*(4)}}{2*(-16)}\\t_{1,2} = \frac{-6 \pm \sqrt{292}}{-32}\\t_{1,2} = \frac{-6 \pm 17.1}{-32}\\t_1 = \frac{-6 -17.1}{-32} = 0.72\\t_2 = \frac{-6 + 17.1}{-32} = -0.35\\[/tex]

Since time can't be negative, the only possible solution is 0.72 s.

Answer:

.72

Step-by-step explanation:

I got it right on the test!!!

Answer:

2* (xy)^2

Step-by-step explanation:

First find the product of x and y

xy

The square it

(xy)^2

The twice it ( multiply by 2

2* (xy)^2

Answer:

12 cups

Step-by-step explanation:

there are 4 cups in 1 quart.  You multiply both of them by 3 so there are 12 cups in 3 quarts

Answer:

12 cups

Step-by-step explanation:

1 quart = 4 cups

4*3 = 12

12 cups

brainliest??

Answer:

aₙ= -2n²

Step-by-step explanation:

The sequence:

The difference between the terms:

As per above, the nth term is: aₙ= -2n²

The sequence:

Answer:

Its A sorry im late

Answer:

No solution

Step-by-step explanation:

=> [tex]\frac{1}{4} (20-4a) = 6-a[/tex]

=> [tex]\frac{1}{4} *4(5-a) = 6-a[/tex]

=> [tex]5-a=6-a[/tex]

Adding a to both sides

=> [tex]5-a+a=6-a+a[/tex]

=> 5 ≠ 6

So, this equation has no solution.

Answer:

k = 4, t = 2

Step-by-step explanation:

Express 2025 as a product of its prime factors

2025 = [tex]3^{4}[/tex] × 5², that is

[tex]3^{4}[/tex] × 5² = [tex]3^{k}[/tex] × [tex]5^{t}[/tex]

Comparing exponents of same bases on both sides, gives

k = 4 and t = 2

Answer:

the one with a vertical line at the x value of -22

Step-by-step explanation:

subtract negative 21 to 1 to get -22

Then x=-22

Graph.

Answer:

SA = 967.6 cm²

Step-by-step explanation:

Surface Area of cylinder = [tex]2\pi r h + 2\pi r^2[/tex]

Where r = 7 cm, h = 15 cm

=> SA = 2(3.14)(7)(15)+2(3.14)(7)²

=> SA = 659.7 + 2(3.14)(49)

=> SA = 659.7 + 307.9

=> SA = 967.6 cm²

Answer:

967.12 cm^2

Step-by-step explanation:

To find surface area of cylinder:

Find area of cross section x 2 = pi x r ^2 = 153.86 x 2 = 307.72cm^2

Area of curved surface = 3.14 x 14 x 15 = 659.4 cm^2

Total Surface Area = 659.4 + 307.72  = 967.12cm^2

Hope this helps

Answer:

-T

Step-by-step explanation:

Im not the greatest at math but thats what i got.

Answer: true.

Step-by-step explanation:

just took the test

Answer:

[tex] \tan(a) = \frac{28}{45} [/tex]

look from the tan A angle , the opposite is 28 and adjacent is 45

Answer:

dsffoppo

Step-by-step explanation:

sg785 suuwooo

Answer:

The correct answer is option B. AA

Step-by-step explanation:

Given two triangle:

[tex]\triangle ABC[/tex]  and [tex]\triangle WXY[/tex].

The dimensions given in [tex]\triangle ABC[/tex] are:

[tex]\angle A = 27^\circ\\\angle B = 90^\circ[/tex]

We know that the sum of three angles in a triangle is equal to [tex]180^\circ[/tex].

[tex]\angle A+\angle B+\angle C = 180^\circ\\\Rightarrow 27+90+\angle C=180^\circ\\\Rightarrow \angle C = 63^\circ[/tex]

The dimensions given in [tex]\triangle WXY[/tex] are:

[tex]\angle Y = 63^\circ\\\angle X = 90^\circ[/tex]

We know that the sum of three angles in a triangle is equal to [tex]180^\circ[/tex].

[tex]\angle W+\angle X+\angle Y = 180^\circ\\\Rightarrow \angle W+90+63=180^\circ\\\Rightarrow \angle W = 27^\circ[/tex]

Now, if we compare the angles of the two triangles:

[tex]\angle A = \angle W = 27^\circ\\\angle B = \angle X= 90^\circ\\\angle C = \angle Y= 63^\circ[/tex]

So, by AA postulate (i.e. Angle - Angle) postulate, the two triangles are similar.

[tex]\triangle ABC \sim \triangle WXY[/tex] by AA theorem.

So, correct answer is option B. AA

Answer:

B. AA

Step-by-step explanation:

The answer is y = 2x - 15

The equation of a line is y = mx +c

m = slope

c = y intercept

From this equation y=2x+6

m = 2

Since the lines are parallel their gradients are also the same

Equation of the line using point (8,1) is

y - 1 = 2(x-8)

y - 1 = 2x - 16

y = 2x - 15

Hope this helps

Answer: y=2x-15

Step-by-step explanation: Since the lines are parallel their slopes will be the same, so all you need to do is plug in (8,1) in the x and y values of the equation: y=2x+b. When you do this you get 1=2(8)+b. Simplify. The b value will be -15 which is the y-intercept so the answer is y=2x-15

Answer:

360

Step-by-step explanation:

You could pretend that the smaller shape has sides 5 and 8, because 5x8=40.

The side 5 would be 15, and the side 8 would be 24.

15x24=360

Answer:

360

Step-by-step explanation:

sorry if wrong I just had this question but it doesn't let me see if I got answer right or wrong ever lol

x3+3x2−4

________

9x4−12x2

Algebra isn't fun. Hope that helps though!

Answer:

280 ft2

Step-by-step explanation:

The lateral area of this prism consists of seven rectangles, each one with dimensions 4 feet by 10 feet.

The area of one of these rectangles is:

[tex]A = base * height = 4 * 10 = 40\ ft^2[/tex]

Then, the area of the seven rectangles is:

[tex]Lateral\ area = 7*A = 7*40 = 280\ ft^2[/tex]

So the lateral area of this prism is 280 ft2.

Answer:

Inequality for donuts and brownies is;

d ≥ 1 ≤ b

Step-by-step explanation:

We are told that aria will buy donuts and brownies.

We are also told that, number of donuts is d while number of brownies is b.

We are also told that she must by at least a total of 6 donuts and brownies together. Which means that the sum of d and b must not be 6 or greater than 6.

So the inequality will be;

d + b ≥ 6

Thus, for the donut and brownies, inequality would be; d ≥ 1 ≤ b

Answer: d+b≥6 is the correct answer trust me

Answer:

D

Step-by-step explanation:

Answer:

D)1/3^8

Step-by-step explanation:

(3^-2)^4

3^-8

1/3^8

3 raised to the power of 8

1/6561 or 1/3^8

Answer:

127

Step-by-step explanation

Answer:

8 pi square units

Step-by-step explanation:

AB=V[3-(-1)]^2+[2-(-2)]^2=V16+16=V4^2*2=4V2

radius =4V2/2=2V2

Area=pi*(2V2)^2=8pi square units