What is the perimeter of a square that has a side of 20

​

Answer:

False

Step-by-step explanation:

5:20 + 1:35 is 6:55, not 6:40/

Answer:

Consider the given vectors.

a=3i+2j−6k

b=4i−3j+k

Now,

a⋅b=(3i+2j−6k)(4i−3j+k)

a⋅b=12−6−6=0

Therefore,

Two vectors a and b are perpendicular.

Thus, the angle between the vectors a and b =90

∘

Hence, this is the answer.

Step-by-step explanation:

Use these equations.

Equation of a Hyperbola, centered at orgin

[tex] \frac{ {x}^{2} }{ {a}^{2} } - \frac{ {y}^{2} }{ {b}^{2} } = 1[/tex]

where a is the major axis

B is the minor axis.

Since a and X are first, the x axis is the major.

This also means the x axis contains the vertices and foci as well.

The equation of vertices when x is major axis is

[tex](x ±a)[/tex]

Since the vertices are (±1,0), and the orgin is (0,0). The length of a is 1.

So a=1.

The equation of foci is

[tex](x±c)[/tex]

Where c is formed by

[tex] {c}^{2} = {a}^{2} + {b}^{2} [/tex]

We know that c is 2 since the distance from the foci and center is 2. A is 1, so let find b.

[tex] {2}^{2} = {1}^{2} + {b}^{2} [/tex]

[tex]4 = 1 + {b}^{2} [/tex]

[tex]3 = {b}^{2} [/tex]

[tex] \sqrt{3} = {b}[/tex]

So our equation is

[tex] \frac{ {x}^{2} }{1 {}^{2} } - \frac{ {y}^{2} }{ (\sqrt{3}) {}^{2} } = 1[/tex]

[tex] \frac{ {x}^{2} }{1} - \frac{ {y}^{2} }{3} = 1[/tex]

Answer:

1/4

Step-by-step explanation:

Answer:

1/4

Step-by-step explanation:

there are 4 cans of soup and 1 of them is tomato

you have a 1 out of 4 chance of picking tomato soup

Answer:

slope of perpendicular line= -⅕

slope of parallel line= 5

Step-by-step explanation:

y= 5x -4

The equation is in the slope-intercept form, thus the slope is the coefficient of x.

Slope of given equation= 5

The product of the slopes of perpendicular lines is -1.

Let the slope of the perpendicular line be m.

m(5)= -1

[tex]m = - \frac{1}{5} [/tex]

Thus, the slope of the perpendicular line is -⅕.

Parallel lines have the same gradient.

Slope of parallel line= 5

What is slope-intercept form?

Answer:

x=-1

Step-by-step explanation:

2x-5=-5x+2

7x=-7

x=-1

Answer:

openup 1 em We want to find the points on the curve y=2x^3-3x^2-12x+20y where the tangent line is parallel to the xx-axis, which means that the slope=0

Answer:

4x³+2x²+2x

Step-by-step explanation:

9x³-5x³+2x²-5x+7x+4-4

4x³+2x²+2x

The simplified expression for (9x³ + 2x² - 5x + 4)- (5x³ -7x + 4) is

2x( 2x² + x + 1).

We have the Expression,

(9x³ + 2x² - 5x + 4)- (5x³ -7x + 4)

Now, simplifying the expression we get

(9x³ + 2x² - 5x + 4)- (5x³ -7x + 4)

= 9x³- 5x³ +2x² -5x + 7x + 4 - 4

= 4x³ + 2x² + 2x

= 2x( 2x² + x + 1)

Thus, the simplified expression is 2x( 2x² + x + 1).

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Answer:

D. 25.7 sq.ft

Step-by-step explanation:

Area of the Figure = Area of Rectangle - Area of Semi Circle

Area of Rectangle = LW = 8*4 = 32 sq.ft

Area of Semicircle = 0.5*π*r² = 0.5*3.14*2² = 6.28 sq.ft

Area of the Figure = 32-6.28 = 25.72 ≈25.7

Answer:

Step-by-step explanation:

Here we report the identification and characterization of a new coronavirus ... M, membrane. c, Similarity plot based on the full-length genome

Answer:

3

Step-by-step explanation:

First, you can list all the factors of the numbers:

30 = 1, 2, 3, 5, 6, 30

21 = 1, 3, 7, 21

The greatest factor that is in both of the numbers is 3, so that is GCF.

Hope this helped somewhat!! :]

Answer:

x= 8

Its 8 because when you add 65 and 76 you get 141 and 180 - 141 is 39. 6x8-9 is 39.

Answer:

About 0.14 acres

Step-by-step explanation:

56 lb = 8 acres

1 lb = x

We can cross multiply:

(8 acres)(1 lb) = (56 lb)(x)

Solving for x:

x = 8 ÷ 56 ≈ 0.14 acres

Answer:

[tex](x + 3)(x + 7) \\ (x)(x) + (x)(7) + (3)(x) + (3)(7) \\ = {x}^{2} + 7x + 3x + 21 \\ = {x}^{2} + 10x + 21[/tex]

EGA and AGB aka the fourth option

Step-by-step explanation:

EGA and AGB create a 180 degree angle together

Answer:

r = 19

Step-by-step explanation:

calculate the slope using the slope formula and equate to 4

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 7, 3 ) and (x₂, y₂ ) = (- 3, r )

m = [tex]\frac{r-3}{-3-(-7)}[/tex] = [tex]\frac{r-3}{-3+7}[/tex] = [tex]\frac{r-3}{4}[/tex] , then

[tex]\frac{r-3}{4}[/tex] = 4 ( multiply both sides by 4 )

r - 3 = 16 ( add 3 to both sides )

r = 19

The table that shows the amount of strawberry picked by Joslyn is a linear function

Rebecca's rate is greater than Joslyn's rate

From the table, we have the following values

(x,y) = (0,0) and (3,6)

The rate is then calculated as:

[tex]m = \frac{y_2 -y_1}{x_2 -x_1}[/tex]

So, we have:

[tex]m = \frac{6 - 0}{3 - 0}[/tex]

Evaluate

[tex]m = 2[/tex]

This means that:

Joslyn's rate is 2 cups per minute

From the question, we have:

Rebecca's rate is 2.5 cups per minute

2.5 is greater than 2

This means that:

Rebecca's rate is greater than Joslyn's rate

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Answer:

a) yes

b) yes

c) yes

d) no

e) no

Answer:

y = 4.5x + 9, graphing done below.

Solving steps:

( -2 , 0 ), ( 0, 9)

slope:

[tex]\sf \frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\sf \frac{9-0}{0+2}[/tex]

[tex]\sf 4.5[/tex]

equation:

y - 9 = 4.5 ( x - 0 )

y = 4.5x + 9

note: point -2 on x axis and 9 on y axis, and keep the ruler on those two points and draw a straight linear line, ta-daa you are done.

Step-by-step explanation:

Amplitude is the distance between the center line of the function and the top or bottom of the function.

The amplitude is half the distance between the max and the min, so

Amplitude = 1/2(max - min)

Amplitude = 1/2(-2.2 -(-8.5))

So amplitude = 1/2(6.3)

= 3.15

Answer:

Mean: 60

Step-by-step explanation:

First of all, in order to find the mean, one must add all the numbers together (61,55,66,58,50,70), which would give a total of 360.

After that, divide that total by the quantity of numbers (in other words, the total number of numbers, which in this case is 6). So, you would have to divide 360 by 6 leading to an answer of 60(the mean, which in other words is like finding the average).

Answer:

$1107.55

Step-by-step explanation:

3,589.90 x .0590/12 = $17.653,589.90 + 17.65 =3,607.553,607.55 - 2,500 = $1,107.55

Check the picture below.

Make sure your calculator is in Degree mode.

The number of meters from that point on the ocean floor to the wreck is 319.83 meters.

There are three commonly used trigonometric identities.

Sin x = 1/ cosec x

Cos x = 1/ sec x

Tan x = 1/ cot x or sin x / cos x

Cot x = cos x / sin x

We have,

From the figure,

Tan 13.2° = 75 / x

x = 75/tan 13.2°
x = 75/0.2345                                      

x = 319.829 meters

x = 319.83 meters

Thus,

The distance from the point to the wreck is 319.83 meters.

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Answer: x = 0 and x = 7

Step-by-step explanation:

9x^2 - 63x = 0.

We can factor out 9x from both terms on the left side:

9x(x - 7) = 0.

To be equal to 0, one of the terms has to be 0.

Therefore, either 9x = 0 or x - 7 = 0.

First, we solve the case where 9x = 0.

Then, x = 0.

Second, we solve the case where x - 7 = 0.

We add 7 to both sides:

So, x = 7

Answer:

36

Step-by-step explanation:

2(4)^2 + 3(4) - 8

Use PEMDAS

2(16) + 3(4) - 8

32+12-8

=36

Answer:

Hank uses 19/12 cans of beans.

Step-by-step explanation:

1. 2/3 X 4/4 = 8/12

2. 2/3 X 4/4 = 8/12

3. 1/4 X 3/3 = 3/12

4. 8/12 + 8/12 + 3/12=19/12

Answer:

you have to add the circumference of the circle C≈131.95 to the two 100m  sides of the rectangle

Step-by-step explanation: