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Please show workings and diagrams.​

Answer:

volume = 157 units³

Step-by-step explanation:

volume = 1/3πr²h

volume = 1/3(3.14)(5²)(6) = 157 units³

Answer:

They are still congruent even after being rotated they still will remain the same shape.

Step-by-step explanation:

Answer:All the sides of each shape must be identical. so yes if it is

Step-by-step explanation:

Answer:

180

Step-by-step explanation:

Answer:

Step-by-step explanation:

c^2=a^2+b^2-2abcosC

cosC= (a^2+b^2-c^2)/(2ab)

C=arccos[(a^2+b^2-c^2)/(2ab)]

C=arccos(90^2+55^2-50^2)/(2(90)55)

C=arccos(8625)/(9900)

C=29.4 degrees

Answer:

$15.27

Step-by-step explanation:

Answer:

Step-by-step explanation:

A line passing through point (x₁, y₁) with the slope of m in point-slope form:

 y - y₁ = m(x - x₁)

m = ¹/₃

(-6, 9)      x₁ = -6,  y₁ = 9

So:

y - 9 = ¹/₃(x - (-6))

y - 9 = ¹/₃(x + 6)     ←    point-slope form

y - 9 = ¹/₃x + 2        {add 9 to both sides}

y = ¹/₃x + 11        ←  slope intercept form

Answer:

I say its 4.4

Step-by-step explanation:

Answer:

56 degrees

Step-by-step explanation:

Hello there!

Remember the sum of the angles in a triangle is equal to 180

so to find the missing angle we subtract the given angles from 180

180 - 34 - 90 = 56

so we can conclude that the measure of the missing angle is 56 degrees

Note: the little square at the bottom left of the triangle indicates that the angle is a right angle. The measure of a right angle is 90 degrees so thats where the 90 came from

Answer:

hope it help you

Answer:

my answer is no because for a right angle triangle the sum of the squares of the other two sides is equal to the square of the longest side

3²+7²=9+49=58

(√57)²=57

57≠58 it's not a right angle triangle

assume the sides to be a,b and c

a=3 b=7 c=√57

by Pythagoras theorem

a²+b²=c²

3²+7²=√57²

but 58≠57

hope it's clear

Answer:

4,3 8,2

Step-by-step explanation:

Answer:

(x, y) ⇒ (x - 5, y - 3)

Step-by-step explanation:

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.

Translation is the movement of a point up, down, left or right. If a point A(x, y) is translated a units left and b units down, the new point is at A(x - a, y - b), while If a point A(x, y) is translated a units right and b units up, the new point is at A(x + a, y + b).

Given that triangle S T U is shifted 3 units down and 5 units to the left to form triangle S prime T prime U prime. The rule that describes this translation is given as:

(x, y) ⇒ (x - 5, y - 3)

Answer:

[tex]x^{2} -1[/tex]

Step-by-step explanation:

You will need to multiply and distribute out the equation.

[tex](x-1)(x+1)\\x^{2} - x + x -1\\x^{2} - 1[/tex]

Answer:

Sam had 80 dollars in his pocket. He was feeling generous, so he handed out equal amount of money to each of his friends. After he handed out the money, he had 53 dollars left. How much did Sam give out to each one of his friends?

Step-by-step explanation:

In this real-world problem, the money he had at the beginning resembles the 80 in the equation. The -3x is the money he gives out to each of his friends. The 53 on the right-hand side is the money he has left after he gives the money away.

Answer:

7.385 minutes

Step-by-step explanation:

Given that :

Average speed = 65km/hr

The distance covered = 8km

The time taken Given the information above :

Recall:

Speed = distance / time

Time taken = distance / speed

Time taken = 8km / 65km/hr

Time taken = 0.1230769 hr

Time taken = 0.1230769 * 60 = 7.385 minutes

The time taken to cover this distance is 7.3848 minutes

Speed is the change of an object's distance within a specified period of time.

Mathematically, speed can be calculated by using the relation:

From the given information:

From the above formula, we can make the time the subject of the formula:

By cross multiplying

We all know that:

Thus, time(t) = (0.12308 × 60) minutes

Time(t) = 7.3848 minutes

Learn more about speed here:

https://brainly.com/question/4931057

Answer: 10.2

Step-by-step explanation:

Use the Pythagorean Thoerem

[tex]b=\sqrt{c^2-a^2}\\b=\sqrt{15^-11^2}\\b=\sqrt{225-121[/tex]

[tex]b=\sqrt{104}\\\\b=10.2[/tex]

Answer:

x = 10.2

Step-by-step explanation:

the exact solution is 10.19804

Answer:

0.2 and 11.8

Step-by-step explanation:

Answer:

95%

Step-by-step explanation:

912÷960=0.95

Hope this helps.

Answer:

∠RPQ = 53°

Step-by-step explanation:

∠SPR and ∠RPQ are complementary, meaning that they add up to 90°. So,

∠SPR + ∠RPQ = 90°

We know that ∠SPR = 37°, so

37° + ∠RPQ = 90°

∠RPQ = 90° - 37°

∠RPQ = 53°

Answer:

A

Step-by-step explanation:

For every input there can only be ONE output

Answer:

hello

The answer will be 5

Step-by-step explanation:

hope it helps

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{3k - 12 = 6}[/tex]

[tex]\large\text{ADD 12 to BOTH SIDES}[/tex]

[tex]\textsf{3k - 12 + 12 = 6 + 12}[/tex]

[tex]\large\text{Cancel out: -12 + 12 because it gives you 0}[/tex]

[tex]\large\text{Keep: 6 + 12 because it helps you solve for k}[/tex]

[tex]\mathsf{6 + 12 = 18}[/tex]

[tex]\large\text{New equation: 3k = 18}[/tex]

[tex]\mathsf{3k = 18}[/tex]

[tex]\large\text{DIVIDE 3 to BOTH SIDES}[/tex]

[tex]\mathsf{\dfrac{3k}{3} = \dfrac{18}{3}}[/tex]

[tex]\large\text{Cancel out: }\mathsf{\dfrac{3}{3}}\large\text{ because that gives you 1 }[/tex]

[tex]\large\text{Keep: }\mathsf{\dfrac{18}{3}}\large\text{ because that helps you solve for k}[/tex]

[tex]\large\text{New equation}\mathsf{\dfrac{18}{3}=k}[/tex]

[tex]\mathsf{\dfrac{18}{3}=18\div3\rightarrow\bf 6}[/tex]

[tex]\boxed{\boxed{\large\text{Answer: \huge\bf k = 6}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer: $285

Step-by-step explanation:

Let the installation fee be represented by x.

Therefore, the equation to solve the question will be:

= x + 6w

where,

x = installation cost

w = number of weeks

x + 6w = 345

x + 6(10) = 345

x + 60 = 345

x = 345 - 60.

x = 285

Therefore, the installation fee is $285

Answer:

f^−1(x)=2^x/4

Step-by-step explanation:

The inverse of the function will be;

⇒ [tex]f ^{-1} (x) = \frac{2^{x}}{4}[/tex]

A relation between a set of inputs having one output each is called a function.

Given that;

The function is,

⇒ y = log₂ (4x)

Now,

Since, The function is,

⇒ y = log₂ (4x)

Find the inverse of the function as;

⇒ y = log₂ (4x)

⇒ [tex]2^{y} = 4x[/tex]

⇒ [tex]\frac{2^{y}}{4} = x[/tex]

⇒ [tex]f ^{-1} (x) = \frac{2^{x}}{4}[/tex]

Thus, The inverse of the function y = log₂ (4x) is,

⇒ [tex]f ^{-1} (x) = \frac{2^{x}}{4}[/tex]

Learn more about the function visit:

https://brainly.com/question/28361556

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Answer:

x=4, y=6. (4, 6).

Step-by-step explanation:

11x-8y=-4

-4x+3y=2

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

4(11x-8y)=4(-4)

11(-4x+3y)=11(2)

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

44x-32y=-16

-44x+33y=22

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

y=6

11x-8(6)=-4

11x-48=-4

11x=-4+48

11x=44

x=44/11

x=4

Answer:

I believe it is 67 degrees

Step-by-step explanation:

Since all the angles in a triangle add up to 180 degrees, you can subtract 78 and 35 from 180 to get 67.

Answer:

Lucas scored approximately 2.25  or 2 1/4 goals per game.

Step-by-step explanation:

To find out just divide 9 to 4. Hope this helps :)

Lucas scored points at an average 2.25 per game.

The average is calculated as the product of all values divided by all possible values. It can also be described as mean. The mean in statistics is the average value for the particular sample or collection of data. It is determined by dividing the sum of the total number of observations by the total number of observations.

Given:

Lucas scored 9 goals in 4 soccer games last season.

Average per game = total goals / total game.

= 9/4

= 2.25

Therefore, the average is 2.25 per game.

To learn more about the average;

https://brainly.com/question/29550341

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Answer: 4x^2 + 6xy + 2y^2

Step-by-step explanation:

(2x + y)(2x + 2y) =

2x*2x + 2x*2y + y*2x + y^2y =

4x^2 + 4xy + 2xy + 2y^2 =

4x^2 + 6xy + 2y^2

Answer:

4x² + 6xy + 2y²

Step-by-step explanation:

Given

(2x + y)(2x + 2y)

Each term in the second factor is multiplied by each term in the first factor, that is

2x(2x + 2y) + y(2x + 2y) ← distribute both parenthesis

= 4x² + 4xy + 2xy + 2y² ← collect like terms

= 4x² + 6xy + 2y²

Answer:

x=90

Step-by-step explanation:

So, since x-20 is the vertical angle directly near 70, we can say:

x-20=70.

if we solve x is 90.

HOPE IT HELPS!!!!!!!!!!!

Answer:

the anwser is 0.1575

Step-by-step explanation:

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