a triangle has sides 8cm and 5cm and an angle of 90 degree between them.calculate the smallest angle of the triangle ​

Answer:

a=-1

Step-by-step explanation:

a(n) = -6+3(n-1)

a(n) = -6+3n-3

a(n) -n=-6+3n-n-3

a=-6+3-3

+3 +3

a3=-3

---- ----

3 3

a=-1

make y the subject

y= 5x + 3

perpendicular line needs the reciprocal of the gradient

y = 1/5x + c

substitute in the point

1 = 1/5(5) + c

5/5 = 1 so the answer is y = 1/5x

hope this is helpful!

The required equation of the line is [tex]\bold{y=-\frac{1}{5}x+2}[/tex]

"The equation of the line having slope m and passing through points (p, q) is (y - q) = m(x - p)"

"y = mx + c, where m is the slope and c is the Y-intercept of the line."

For given question,

We have been given a point (5, 1)

The required line is perpendicular to the line 5x - y = -3

⇒ 5x - y = -3

⇒ - y = -5x - 3

⇒ y = 5x + 3

Comparing above equation with slop-intercept form of the line.

m = 5

Let m1 be the slope of the required line.

We know that the product of the slopes of perpendicular lines is -1.

⇒ m1 × m = -1

⇒ m1 = [tex]\frac{-1}{5}[/tex]

Now we find the equation of the required line by using slope-point form.

Let (p, q) = (5, 1)

By using slope-point form,

⇒ (y - q) = m1(x - p)

⇒ (y - 1) = [tex]-\frac{1}{5}[/tex] (x - 5)

⇒ y - 1 = [tex]-\frac{1}{5}x[/tex] + 1

⇒ y =  [tex]-\frac{1}{5}x[/tex] + 2

Therefore, the required equation of the line is [tex]\bold{y=-\frac{1}{5}x+2}[/tex]

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Step-by-step explanation:

you will divide both sides of the ratio I.e the 4.5 and 2.25 by 2.25

Answer:

(x + 3)(2x + 5)

Step-by-step explanation:

Given

2x² + 6x + 5x + 15 ← grouping the terms

= (2x² + 6x) + (5x + 15) ← factor each group

= 2x(x + 3) + 5(x + 3) ← factor out (x + 3) from each term

= (x + 3)(2x + 5) ← in factored form

Answer:

EDG 2021

Step-by-step explanation:

Step 2: C. 2x

Step 3: B. 5

Step 4: C. x + 3

Step 5: A. (x + 3) (2x + 5)

Answer:

messy... but hope it helps you.

Answer:

I'd use a Non-probability Sampling Method.

Explanation:

The question is already laced with criteria - Heights of Buildings in New York.

This means that there are certain buildings that won't fit in the sample. In a non-probability sample, objects or subjects are elected based on specified criteria that are not random. This means that not all objects/subject have a chance of being included in the sample.

It is assumed that the question/assignment centers around high rise buildings.

Therefore, one storey buildings and bungalows that are within and outside New York will not be included in the sample.

Under the Non-Probability Sampling Method, it is essential to note that there are other subgroupings of sampling techniques. They are:

Cheers!

Answer:

bettween 30 and 150 yards

Step-by-step explanation:

test

Answer:

Between 30 yds and 150 yds.

Step-by-step explanation:

Got it right Edge 2021

Answer: x = 41°

Step-by-step explanation:

The sum of the angles in a triangle equals 180°.

To find the missing angle, subtract the sum of the two given angles from 180.

101 + 38 = 139

180 - 139 = 41

x = 41°

The size of the angle at the bottom left of the triangle is 41°.

A triangle is a geometric figure which has three edges and three vertices. The sum of a triangle's three angles is 180°.

Given that the two angles of the triangle are 38° and 101°. We have to find the size of the other angle which is at the bottom left of the triangle. Let the size of the angle be x°.

We have to solve the equation:

x + 38 + 101 = 180

i.e. x = 180 - (38 + 101) = 180 - 139 = 41°

Therefore, the size of the angle at the bottom left of the triangle is 41°.

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Answer:

1273

Step-by-step explanation:

C) the answer on edg is C.

Answer:

165 minutes

Step-by-step explanation:

1hour--> 60 minutes

60+60+45=165 minutes

Answer:

2/3

Step-by-step explanation:

26/39

26 and 39 are multiples of 13.

Simplify the fraction.

26 ÷ 13 / 39 ÷ 13

⇒ 2/3

Answer:

The bus will take 10 hours to travel from South Central High to Calgary.

Step-by-step explanation:

Let suppose that both bus and express train travels at constant speed, whose kinematic formula is now described:

[tex]v = \frac{\Delta s}{\Delta t}[/tex]

Where:

[tex]v[/tex] - Speed, measured in kilometers per hour.

[tex]\Delta s[/tex] - Travelled distance, measured in kilometers.

[tex]\Delta t[/tex] - Time, measured in hours.

The transportation time is cleared afterwards:

[tex]\Delta t = \frac{\Delta s}{v}[/tex]

The kinematic expressions for the bus and the express bus are, respectively: ([tex]\Delta s = 800\,km[/tex])

Bus

[tex]\Delta t = \frac{800\,km}{v}[/tex]

Express train

[tex]\Delta t - 2\,h = \frac{800\,km}{v + 20\,\frac{km}{h} }[/tex]

By eliminating [tex]\Delta t[/tex]:

[tex]\frac{800\,km}{v} -2\,h = \frac{800\,km}{v+20\,\frac{km}{h} }[/tex]

[tex]\frac{800\,km}{v} - \frac{800\,km}{v+20\,\frac{km}{h} } = 2\,h[/tex]

[tex]800\cdot (v+20)-800\cdot v = 2\cdot v\cdot (v+20)[/tex]

[tex]16000 = 2\cdot v^{2}+40\cdot v[/tex]

[tex]2\cdot v^{2}+40\cdot v -16000 = 0[/tex]

Which is a second-order polynomial and whose roots are:

[tex]v_{1} = 80\,\frac{km}{h}[/tex] and [tex]v_{2} = -100\,\frac{km}{h}[/tex]

Only first root is physically reasonable, as speed is a scalar, that is, a number that is represented only by magnitude. Then, the time taken by the bus to travel from Central High to Calgary is: ([tex]v = 80\,\frac{km}{h}[/tex])

[tex]\Delta t = \frac{800\,km}{80\,\frac{km}{h} }[/tex]

[tex]\Delta t = 10\,h[/tex]

The bus will take 10 hours to travel from South Central High to Calgary.

Answer:

Translated up by 1 unit.

Step-by-step explanation:

According to the diagram below, if you were to do the (square root of X + 1), then the graph would be translated to the left by 1 unit. If you were to do the square root of X + 1, the graph would be translated up by 1 unit.

Hope this helps!

Answer:

D.

Step-by-step explanation:

Since this isn't a credit card, there are no interests or fees on a debit card, so A is incorrect. B is also incorrect. You only need identification when you are withdrawing or depositing at a bank, but purchases made in stores or online do not need your identification. You also don't need to record transactions in your checkbook (but it is recommend to keep track of purchases). Modern day technology already records transaction history and all you need to do is access it online.

D is correct because if someone steals your PIN for your debit card, they could go to stores and use that money. You can dispute charges and report to the bank if that happens.

Answer:

B

Step-by-step explanation:

When you get a Debit card, you also get a PIN and everytime you make a purchase, you have to use that PIN. C is wrong because Debit is an electronic form of payment and transactions can be viewed online. A is wrong because there aren't always fees. D is wrong because unless you call the bank provider, you will be held liable for every purchase you make.

Answer:

Step-by-step explanation:

(4^2/5)^1/4

first multiply the exponent

2/5*1/4=2/20=1/10

4^1/10= 10√4(the ten is on the top to the square root)

Answer:

P(825 to 900 hours) = 0.4772-0.3413=0.1359

Step-by-step explanation:

We are given that the life-span of the bulbs are normally distributed.

First we need to find the z-values, where

z(x)=(x-mean)/standard deviation

=(x-750)/75

therefore

z(825)=(825-750)/75=1

z(900)=(900-750)/75=2

Now we need to find the probabilities of the given z-values, from a probability table or from software.

P(z=1) = 0.3413

P(z=2)=0.4772

So probability that the life-span falls between 825 and 900 hours would be P(825 to 900 hour) = 0.4772-0.3413=0.1359

Answer:  8

Step-by-step explanation:

The formula for the sum of the angles of a polynomial is:

[tex]S_n=180(n-2)[/tex]

1080 = 180(n - 2)

1080 = 180n - 360

1440 = 180n

8 = n

Answer:

8

Step-by-step explanation:

It's an octagon

Answer:

  y = -2x -5

Step-by-step explanation:

The line crosses the y-axis at -5. So, b = -5.

It goes down 2 units for each 1 unit to the right, so has a slope of ...

  m = rise/run = -2/1 = -2

__

The slope-intercept form of the equation of a line is ...

  y = mx +b      where m is the slope and b is the y-intercept

For the slope and y-intercept shown, the equation is ...

  y = -2x -5

Answer:

y ≈ 2.1

Step-by-step explanation:

If you look at the graph and locate on the x axis 2, you can see that directly above on the line is a little more than 2.

Answer:

33 square units

Step-by-step explanation:

4 triangles - 1/2 * 3 * 4 = 24

base is 3 * 3 = 9

24 + 9 = 33

Answer:

a) 2

b) .05

c) 6.07

d) 0.002

Answer:

              multiply second equation by (-3)

new system of equations:

3x + 5y = 30

-3x - 9y = -30

Step-by-step explanation:

x + 3y = 10

multiplied by (-3):

-3x - 9y = -30

combinig:

3x+5y + (-3x-9y) = 3x - 3x + 5y - 9y = -4y

10 + (-30) = -20

so:   -4y = -20

Answer:

Multiply the second equation by −3 to get −3x − 9y = −30.

Step-by-step explanation:

Answer:

150 inches

Step-by-step explanation:

Vincent sketch is a rectangle

10 inches by 15 inches

Length=15 inches

Width=10 inches

If each dimension is tripled

Then,

Length=15*3=45

Width=10*3=30

Perimeter of the new drawing=2(length+width)

=2(45+30)

=2(75)

=150 inches

Answer:

{-3, 2, 7, ...... } is the range of given function.

Step-by-step explanation:

We are given that the function is defined as:

[tex]y = 5x + 2[/tex] where [tex]x > -2[/tex].

To find:

Range of the given function = ?

Solution:

First of all, let us have a look at the definition of Domain and Range.

Domain of a function f(x) is the set of input that is valid i.e. the value of x which are valid.

For example, in the given question, x > -2 i.e. x can be any value from the set {-1, 0, 1, 2, ......} is the domain of given function.

Range of a function f(x) is the set of output that is valid according to the input given.

For the given equation, let us put the value of x one by one and try to find out the value of y.

Putting x = -1 first:

[tex]y = 5 \times -1+2\\\Rightarrow y=-3[/tex]

Putting x = 0:

[tex]y = 5 \times 0+2\\\Rightarrow y=2[/tex]

Putting x = 1:

[tex]y = 5 \times 1+2\\\Rightarrow y=7[/tex]

So, the range is : {-3, 2, 7,......}

Answer:

True.

Step-by-step explanation:

Remember the vertical line test. Anywhere on that graph, you can draw a vertical line, and it will not touch the function two times. Because of this, it is true.

Answer:

1.) f(-2)=g(4)

2.) f(0) = g(-2)

3.) f(-4)=g(-2) and f(4)=g(4)

4.) -9

Step-by-step explanation:

The equation that has the steepest slope is y = -14x + 1

A slope is the ratio of the change in the y-coordinates to the change in the x-coordinates of a line segment.

Analysis:

A line is said to be the steepest if it has the highest absolute value of the gradient or slope.

From the equations, the coefficient of x in the equations is taken as the slope.  y = -14x+ 1 is the equation with the highest absolute value 14. The absolute value means ignoring the minus sign, since it indicates a negative slope.

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Answer:

Y=-14x+1

Step-by-step explanation:

Answer:

Lucio podrá armar 5 grupos iguales de estampillas.

Step-by-step explanation:

El problema plantea un caso de distribución mediante la aplicación del divisor común mayor a todos los números involucrados. Para ello, primero debemos analizar los divisores de cada uno de estos números:

-30: divisible por 2, 3, 5, 6, 10, 15 y 30.

-75: divisible por 3, 5, 15, 25 y 75.

-160: divisible por 2, 4, 5, 8, 10, 16, 20, 32, 40, 80 y 160.

Así, podemos ver que el divisor común mayor a los tres números es 5, ya que 30, 75 y 160 dan como resultado un número entero tras ser divididos por 5.

Entonces, para poder repartir equitativamente sus estampillas entre la mayor cantidad de amigos posibles, deberá repartir 6 estampillas de animales, 15 estampillas de flores y 32 estampillas de ciudades a 5 amigos. De esta manera, Lucio podrá armar 5 grupos iguales de estampillas.

Answer:

C is the only one that looks right

Answer:

c.) x-2

Step-by-step explanation:

Answer:

X-2

Step-by-step explanation: