Rectangle ABCD is rotated by 90 degrees clockwise about the origin and
then translated 3 units left and 2 units down to form A'B'C'D'.
What is the length in units of line segment A’B’ in the resulting figure

Answer:

first off the park you've listed is no match for the fact its more then 0.86.

Step-by-step explanation:

[tex]tan^{-1} (\frac{7}{420} )\\\\= arctan (\frac{7}{420} )\\\\= arctan (\frac{1}{60} )\\= 0.95[/tex]

so basically it equals 0.95°

which basically means 0.86 < 0.95.

Answer:12, 84 and 84

Step-by-step explanation:

since we  know 3 angles of a triangle = 180 degrees

1 angle = 12 degrees

12 + x + x = 180

12 + 2x = 180

2x= 180 - 12

2x = 168

x = 168/2

x = 84 degrees

Hope it helps! Mark it as Braniest

Answer:

64° , 64° , 52°

Step-by-step explanation:

       The two angles that are same be 'x'

        Third angle = x  - 12

Sum of all angles of triangle = 180

                      x + x + x -12      = 180

                                   3x - 12 = 180

                                          3x = 180 + 12

                                          3x = 192

                                             x = 192/3

                                             x = 64

x - 12 = 64 - 12

         = 52

Answer:

Answer is in attachment

Mark brainliest :)

Answer:

= 6 items per hour

Explanation:

This is a fraction equal to 18 items ÷ 3 hours

We want a unit rate where 1 is in the denominator, so we divide top and bottom by 3

18 items ÷ 3

3 hours ÷ 3

= 6 items/1 hour

= 6 items/hour

= 6 items per hour

Answer:

w = [tex]\frac{P-2i}{2}[/tex]

Step-by-step explanation:

P = 2w + 2i ( subtract 2i from both sides )

P - 2i = 2w ( isolate w by dividing both sides by 2 )

[tex]\frac{P-2i}{2}[/tex] = w

Answer:

density: 0.25 g/cm³

Explanation:

density = mass/volume

Here given:

· mass: 16 grams

· volume: side³ = 4³ = 64 cm³

Find density:

· mass/volume

· 16/64

· 0.25 g/cm³

Answer:

n = -10

Explanation:

[tex]\Rightarrow \sf \dfrac{1}{n} +\dfrac{4n+16}{n^2-6n} =\dfrac{4}{n-6}[/tex]

Factor the common term

[tex]\Rightarrow \sf \dfrac{1}{n} +\dfrac{4n+16}{n(n-6)} =\dfrac{4}{n-6}[/tex]

Make the denominator same

[tex]\Rightarrow \sf \dfrac{n-6}{n(n-6)} +\dfrac{4n+16}{n(n-6)} =\dfrac{4}{n-6}[/tex]

Join the fractions

[tex]\Rightarrow \sf \dfrac{n-6+4n+16}{n(n-6)}=\dfrac{4}{n-6}[/tex]

simplify the following

[tex]\Rightarrow \sf \dfrac{5n+10}{n(n-6)}=\dfrac{4}{n-6}[/tex]

cross multiply

[tex]\Rightarrow \sf\left(5n+10\right)\left(n-6\right)=n\left(n-6\right)\cdot \:4[/tex]

cancel out common term

[tex]\Rightarrow \sf\left(5n+10\right)=4n[/tex]

exchange sides

[tex]\Rightarrow \sf 5n-4n=-10[/tex]

simplify

[tex]\Rightarrow \sf n=-10[/tex]

(f + g)(x) = 2 x²+6x+2

The composition of a function is an operation where two functions say f and g generate a new function say h in such a way that h(x) = g(f(x)). It means here function g is applied to the function of x. So, basically, a function is applied to the result of another function.

Given function is:

f ( x ) = 2 x + 2 and g ( x ) = 2 x² + 4 x

So,

(f + g)(x)

= f(x)+g(x)

= 2x+2+2 x² + 4 x

=2 x²+6x+2

Hence, (f + g)(x) = 2 x²+6x+2.

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Answer:

3rd option,

24   -12   6

42   18    0

Step-by-step explanation:

6 x (4) = 24

6 x (-2) = -12

6 x (1) = 6

6 x (7) = 42

6 x (3) = 18

6 x (0) = 0

Answer:

Slopem=−32

As a decimal:

m = -1.5

Step-by-step explanation:

Answer:

4.a

5.b

Step-by-step explanation:

In question 4, the shape and width of the origin must be negative, which is the only *a*

slop

The slope of the line comes before x

Answer:

[tex]-3x + 10y[/tex]

Step-by-step explanation:

Step 1:  Combine like terms

[tex]2x + 3y - 5x + 7y[/tex]

[tex](2x - 5x) + (3y + 7y)[/tex]

[tex]-3x + 10y[/tex]

Answer: [tex]-3x + 10y[/tex]

Using proportions, it is found that the conversions are given as follows:

a) 175.89 rands were worth $14.07.

b) 56.56 dollars were worth 708.13 rands.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, we have the following proportion:

1 rand - 0.08 U.S. dollars.

Item a:

175.89 x 0.08 = $14.07, hence:

175.89 rands were worth $14.07.

Item b:

56.65/0.08 = 708.13, hence:

56.56 dollars were worth 708.13 rands.

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Answer:

3

Step-by-step explanation:

to find the volume of a rectangular prism, Volume = length x height x width

Volume is 45 units (given)

length is 5 units (given)

45 = 5 x w x l

45 / 5 = w x l

9 = w x l

only 3 x 3 = 9 works with these numbers

45 = 5 x 3 x 3

Yes, there is statistical evidence that the drug is effective in reducing infarct size because p-value is less than the significance value.

Let us first define the hypotheses;

Null Hypothesis; H₀: µ = 25

Alternative Hypothesis; H₁: µ < 25

Standard Deviation; σ = 10

Sample mean; x' = 16

Sample size; n = 8

z-score is;

z = (16 - 25)/(10/√8)

z = -2.55

From online z-score table, the p-value is 0.005

Since p-value is less than the significance value, then we reject the null hypothesis and conclude that the drug is effective in reducing infarct size.

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Answer:

C=1n

Step-by-step explanation:

So first you look for keywords, the most noticeable one is "total cost." C will be at the end of the equation.

C= ? + ?

Then, each hot dog costs $1 which means no matter how many hot dogs there will be, it will be multiplied by the cost. So, the answer is:

c=1n

Answer:

uhm can i see the formula for the question?

Step-by-step explanation:

Answer:

66?

Step-by-step explanation:

Answer:

333.33

Step-by-step explanation:

If we know that 1/5 of an unkown number is 100, then to find then original number we can multiply 100 by 5. This leaves us with 500, the original number. Now, we can multiply 500 by 2/3 to find our final answer.

500 * 2/3 = 333.33

Answer:

810 cm^3

Step-by-step explanation:

Since,the l(length) b(breadth) & h(height) of the cuboid bear the ratio 5 : 3 : 2 ,we could assume it as:

We know that,

So substitute the dimensions we assumed:

[tex] \rm \: Total \; Surface\; area \: of \: the \; cuboid = 2(5z \times 3z + 3z \times 2z + 2z \times 5z[/tex]

[tex] \implies \rm \: 279 = 31 {z}^{2} [/tex]

[tex] \rm \implies {z}^{2} = \cfrac{279}{31} [/tex]

[tex] \rm \implies {z}^{2} = 9[/tex]

[tex] \implies \rm \: z = \sqrt{9} [/tex]

[tex] \rm \implies \: z = \sqrt{3 \times 3} = 3[/tex]

Hence, according to the formula,

We got the dimensions of the cuboid, i.e.

Then, solve.

Hence,the volume of the cuboid will be 810 cm^3

Answer:

? where is it

Step-by-step explanation:

Answer:

5/7

Step-by-step explanation:

3+2 is 5 over the same denominator because that's how many slices of pizza there are

Answer:

A polyhedron with 6 faces and 8 vertices has 12 edges.

Step-by-step explanation:

Euler Formula is given in the problem:

We are told that the polyhedron has 6 faces (F = 6) and 8 vertices (V = 8). The only unknown variable in Euler's Formula now is E = number of edges.

Substitute the known variables into the formula and solve for E.

A polyhedron with 6 faces and 8 vertices has 12 edges.

Answer:

V=12.6cm^3

Step-by-step explanation:

Volume of Cone Formula: [tex]V=\pi r^2\frac{h}{3}[/tex]

Given:

Radius=2, Height=3

1. Plug in your given values into the formula

[tex]V=\pi 2^2\frac{3}{3}[/tex]

2. Solve

[tex]V=\pi 2^2\frac{3}{3}\\V=\pi 4\frac{3}{3}\\V=\pi 4*1\\V=\pi 4\\V=12.5663706144[/tex]

Rounded to tenths: 12.6

Answer:

55

Step-by-step explanation:

The total surface area of the cone is 542.592 square mm

The formula for calculating the total surface area of a cone is expressed as:

TSA = πr(r + l)

where

r is the radius of the cone

l is the slant of the cone

Given the following parameter

l = 13.6mm

r = 8mm

Substitute

TSA = π(8)(8+13.6)
TSA = 3.14(8)(21.6)

TSA = 542.592 square mm

Hence the total surface area of the cone is 542.592 square mm

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Answer:

3.1

Step-by-step explanation:

sine 70= x/4

sin= opposite/hypotenuse

Answer:

17500

Step-by-step explanation:

That would be 35 * 500

= 17500