A rectangle has a perimeter of 46 cm with a length of 12 cm. What is its width

Answer:

theta = 44.4 degrees

Step-by-step explanation:

Since this is a right triangle, we can use trig formulas

cos theta = opposite/ hypotenuse

cos theta = 15/21

Take the inverse of each side

cos^ -1 (cos theta) = cos ^-1 (15/21)

theta =44.4153086

theta = 44.4 degrees

Answer:

Given,

side=4√5 millimetres

=4×4√5

=16√5

Perimeter= 16√5 milimetre

Area= side× side

=4√5 × 4√5

=80

Area= 80 square milimeters

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hope it helps...

have a great day!

Answer:

Given,

side=4√5 mm

=4×4√5

=16√5

Perimeter= 16√5 mm

Area= side× side

=4√5 × 4√5

=80

Area= 80 square milimeters

------------------------------

hope it is helpful to you

stay safe healthy and happy

Answer:

196°

Step-by-step explanation:

A full circle has an arc measure of 360°.

360° - 164° = 196°

Answer: 196°

Hello,

the line passing through (5,2) and (1,0) has for equation:

y-0=(x-1)*(-2)/(-4) or y=x/2-0.5

if y= 5 then 5=x/2-0.5 ==> 5.5=x/2 ==> x=11

Answer C

Answer:

C

Step-by-step explanation:

Since the points lie on the same line then the slope between consecutive points will be the same.

Calculate the slope m using the slope formula

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

with (x₁, y₁ ) = (5, 2) and (x₂, y₂ ) = (1, 0)

m = [tex]\frac{0-2}{1-5}[/tex] = [tex]\frac{-2}{-4}[/tex] = [tex]\frac{1}{2}[/tex]

Calculate the slope again and equate to [tex]\frac{1}{2}[/tex]

with (x₁, y₁ ) = (1, 0) and (x₂, y₂ ) = (a, 5)

m = [tex]\frac{5-0}{a-1}[/tex] = [tex]\frac{1}{2}[/tex] , so

[tex]\frac{5}{a-1}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )

a - 1 = 10 ( add 1 to both sides )

a = 11

Answer:

I believe it is 1, I might be wrong.

Step-by-step explanation:

Two points on the graph are (1,2) and (2,3)

The first set has variables of x1 and x2 the second has variables of y1 and y2.

The formula is y2 - y1/x2 - x1

Put in the values and you get 2 - 3/2-1.

You would get 1/1, which is equivalent to 1.

³√5 / ⁴√5 = ¹²√5 = 5^1/12

5^1/12

Answer:

the answer is  5/|1 5

Step-by-step explanation:

Answer:

in jh ynhtym

hunt ghb JBL iggmmjuu ki ju nu j

Answer:

volume of the sphere=4/3πr³

=4/3×3×2³

=32 feet³

Answer:

32 ft³

Step-by-step explanation:

Hi there!

[tex]V=\frac{4}{3} \pi r^3[/tex] where r is the radius

Plug in the given radius, 2 ft

[tex]V=\frac{4}{3} \pi (2)^3[/tex]

Plug in the given value of π, 3

[tex]V=\frac{4}{3} (3) (2)^3\\V=\frac{4}{3} (3) (8)\\V=(4)(8)\\V=32[/tex]

Therefore, the volume of the sphere is 32 ft³.

I hope this helps!

Answer:

B

-1536

Step-by-step explanation:

Just replace n with 9

-6(2)^(9-1)

-6(2)^8

-6(256)

-1536

Answer:

The answer is B

Step-by-step explanation:

B

The 22 Australian dollar in USD is 18.33.

Currency is a medium of exchange for goods or services within an economy, usually issued by a government or central bank and generally accepted at its face value.

Given that, we need to determine that there are how many USD in 22 AUD,

So, 1.2 Australian dollars equals 1 US dollar.

Therefore,

22 AUD = 22 x 1 / 1.2 = 18.33

Hence, the 22 Australian dollar in USD is 18.33.

Learn more about currency, click;

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Answer:

5/4

Step-by-step explanation:

slope = rise/run

slope=y2-y1/x2-x1

slope=9-(-1)/15-7=10/8=5/4

So the answer is 5/4.

Answer:

5/ 4

Step-by-step explanation:

slope of a line is the rate of change of y co-ordinates with respect to the change in x co-ordinates.

therefore,

[tex]slope = \frac{9 - (-1}{15-7) } \\ = \frac{10}{8} \\ = \frac{5}{4} [/tex]

as we were given 2 points the rate of change of x and y co-ordinates will be equal to the difference between the values of each for the two points.

Answer:

60% of 20 pages = .6  * 20 = 12 pages

Step-by-step explanation:

Answer: 26.11

Step-by-step explanation:

73.18 - 5.23 × 90 = 73.18 - 47.07 = 26.11

Answer:

9

Step-by-step explanation:

Answer: 16

Step-by-step explanation:

75=75/100=3/4

3/4*b=12

b=12/1*4/3

Answer:

y < -7

Step-by-step explanation:

You balance it like a normal equation:

8y + 3 > 15y + 52

8y + 3 (-8y) > 15y + 52 (-8y)

3 (-52) > 7y + 52 (-52)

-49 (÷7) > 7y (÷7)

y < -7

Answer:

D(-3, -1)

Step-by-step explanation:

The given coordinates are;

A(-1, -5), B(5, -2) and (1, 1)

The coordinates and the coordinates of the point D form a trapezium

The parallel sides of the trapezium ABCD = AB and DC

The angle ∠BAD = 90°

The coordinates of the point D = Required

Let (x, y) represent the x and y-coordinates of the point D, by the given information, we get;

The slope of the line DC = The slope of the line AB

The slope of AB = (-2 - (-5))/(5 - (-1)) = 3/6 = 1/2

∴ The slope of CD, m = 1/2

From the point C(1, 1),the equation of the line CD is therefore;

y - 1 = (1/2)·(x - 1)

∴ y = x/2 - (1/2) + 1 = x/2 + 1/2

y = x/2 + 1/2

Given that ∠BAD is 90°, therefore, AD is perpendicular to DC and we have;

The slope of AD = -1/m

∴ The slope of AD = -1/(1/2) = -2

From the point A(-1, -5), the equation of the line AD is therefore;

y - (-5) = -2·(x - (-1))

y = -2·x - 2 - 5 = -2·x - 7

y = -2·x - 7

Equating both (simultaneous) values of y to find the value of x gives;

y = y, therefore;

x/2 + 1/2 = -2·x - 7

x/2 + 2·x = 5·x/2 = -7 - (1/2) = -15/2

∴ 5·x/2 = -15/2

x = (-15/2) × (2/5) = -3

x = -3

From y = -2·x - 7, and x = -3, we get;

y = -2 × (-3) - 7 = 6 - 7 = -1

The coordinates of the point D(x, y) = (-3, -1).

Answer:

A.

Step-by-step explanation:

To find the inverse of a function, first make f(x) a y

So,

y = [tex]\frac{12}{x}[/tex] -18

Then switch the x and the y

x = [tex]\frac{12}{y}[/tex] - 18

Solve, for y

Answer:

y = –|x - 1| + 3

Step-by-step explanation:

The "vertex" is (1 , 3)

y = –|x - 1| + 3

Step-by-step explanation:

hope it helps

Answer:

x = 76.58°

Step-by-step explanation:

hyp = 13.41

tan = opp/adj

tan = 1/2 = 26.57

x = 76.58

Answer:

correct answer is 1)675 units^2

Answer:

1344.

Step-by-step explanation :

.

The speed of the jet will be 166.4. If the jet fly for 12 hours, then the distance cover will be 1996.8.

The distance covered by the particle or the body in an hour is called speed. It is a scalar quantity. It is the ratio of distance to time.

We know that the speed formula

Speed = Distance/Time

A jet travels 832 km in 5 hours.

Then the speed of the jet will be

Speed = 832 / 5

Speed = 166.4 km per hours

If the jet fly for 12 hours, then the distance cover will be

Distance = Speed x Time

Distance = 166.4 x 12

Distance = 1996.8 km

More about the speed link is given below.

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Given:

The equation is:

[tex]4\log_2(2x)=x+4[/tex]

The graph of the [tex]4\log_2(2x)[/tex] and [tex]x+4[/tex] are given on a coordinate plane.

To find:

The solution of the given equation from the given graph.

Solution:

From the given graph it is clear that the graphs of [tex]4\log_2(2x)[/tex] and [tex]x+4[/tex] intersect each other at points (1.24,5.24) and (16,20).

It means the values of both functions [tex]4\log_2(2x)[/tex] and [tex]x+4[/tex] are equal at [tex]x=1.24[/tex] and [tex]x=16[/tex].

So, the solutions of given equation are [tex]x=1.24[/tex] and [tex]x=16[/tex].

Therefore, the correct option is only F.

Answer:

x =48.6

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp side / hypotenuse

sin x = 54 /72

Taking the inverse sin of each side

sin ^ -1( sin x) =sin ^-1 ( 54/72)

x = 48.59037789

To the nearest tenth

x =48.6

Answer:

0.0238

Step-by-step explanation:

Total number of persons to be chosen from = 7

If each person has an equal probability of being selected ;

Number of persons to be selected = 2

Probability = required outcome / Total possible outcomes

P(Anna first) = 1 / 7

Recall; this is a selection without replacement ;

P(Darlene second) = 1 / 6

1/7 * 1/ 6 = 1 / 42 = 0.0238