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Answer:

Short leg: 7cm

Long leg: 7√3

Step-by-step explanation:

This is a 30 60 90 triangle.

Picture shows how to solve.

Answer:

Slope = 3

Step-by-step explanation:

The formula to find the slope of a graph using two points is:

m = Δy/Δx

where m is the slope

We can start off by choosing two points on the graph. Two easy ones to pick out would be (6,30) and (1,15). Notice that the 15 and the 30 are y-coordinates and the 6 and the 1 are x-coordinates. To find the slope we will do

m = Δy/Δx = (30-15)/(6-1)

= 15/5

= 3

Thus the slope of this graph is 3

Percentage =  1% = 0.01, 10% = 0.1 and 100% = 1

Increase in percentage = 1 + percentage eg. (1  + 0.08 = 1.08)

Decrease in percentage = 1 - percentage eg. (1 - 0.08

Answer:

the third one

Step-by-step explanation:

all rectangles have 4 sides therefore a quadrilateral

Answer:

3

Step-by-step explanation:

Rectangles require 4 sides and 90 degree corners, a quadrilateral requires 4 sides. So rectangles fulfill the quadrilateral's condition, but quadrilaterals can't always fulfill other forms' condition.

Answer:

The equation would change to be f(x) = 12x + 50

Step-by-step explanation:

The equation given follows the form y = mx + b. In the equation, m = the charge in dollars per person, with x representing the amount of people, and b = the initial reservation fee.

This means that if you change the charge per person, the m value will change, and if you change the reservation fee, the b value will change.

Thus, your new equation will be f(x) = 12x + 50

The equation that models this situation is z = 7.9y + 12.

A linear equation is a function that has a single variable raised to the power of 1.  An example is x = 4y + 2.

Where:

From the equation given, 12 would be the constant, the independent variable would be 7.9 and z would be the dependent variable.

z = 7.9y + 12

Here is the complete question: A barrel of oil was filled at a constant rate of 7.9 gal/min. The barrel had 12 gallons before filling began. write an equation in standard form to model the linear situation.

A similar question was answered here: https://brainly.com/question/2238405

Answer:

D)48

Step-by-step explanation:

Answer:

C) Reject null, because 15 is not in the interval.

Step-by-step explanation:

Step-by-step explanation

The angles opposite to equal sides in the isosceles triangle will be the same thus the measure of angle Q will be 68°.

A triangle is a closed, 2-dimensional shape with 3 sides, 3 angles, and 3 vertices.

In a triangle, the sum of all three angles is 180°

Triangle is a very common figure to deal with our daily life for example in our daily life to measure the height of any tower then there is a huge application of the right angle triangle.

As per the given isosceles triangle.

The angles opposite to equal sides in the isosceles triangle will be the same.

Thus, m∠P -= m∠Q

5x + 8 = 9x - 40

9x - 5x = 8 + 40

4x = 48

x = 12°

Thus, m∠Q = 9(12) - 40 = 68°.

Hence "The angles opposite to equal sides in the isosceles triangle will be the same thus the measure of angle Q will be 68°".

For more information about triangles,

https://brainly.com/question/2773823

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Answer:

$42,110.65

Step-by-step explanation:

Answer:

30 bikes

Step-by-step explanation:

the profit from each bike is 50 so then you divide 1500 by 50 and you get 30

For an individual die roll, the probability of rolling 6 is \dfrac{1}{6}

6

1

.

Effectively, this problem is asking for P(\text{1st roll is 6}\cap\text{2nd roll is 6})P(1st roll is 6∩2nd roll is 6).

Using the rule of product, this is:

\dfrac{1}{6}\times\dfrac{1}{6}=\dfrac{1}{36}

6

1

×

6

1

=

36

1

.

Step-by-step explanation:

y = (x - 4)/x = x/x - 4/x = 1 - 4/x

c = 1

r = -4

done ...

Answer:

Step-by-step explanation:

4 x 2 = 8

there fore, it would take 8 $ to buy 5 slices excluding the delvry.

so, 8 x 2 = 16

16$ total

pls give me brainliest

Answer:

Step-by-step explanation: she can read 15  pages an hour but she read for 2 hours so she read 30 pages

Step-by-step explanation:

Answer:

210÷2=105

Step-by-step explanation:

Answer:

y-intercept =3

x-intercept =3/2

slope =-2

Step-by-step explanation:

y=-2x+3

0=-2x+3

2x=3

x=3/2

Answer:

Below in bold.

Step-by-step explanation:

Using the quadratic formula :

roots =  [-16 +/-√(16^2 - 4*16*5)] / (2*16)

= -0.5 +/- √(-64) /32

= -0.5 +/- 8i/32

= -0.5 + 0.25i and -0.5 - 0.25i

[tex]\sf\longmapsto 16x^2+16x+5=0[/tex]

[tex]\sf\longmapsto x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

[tex]\sf\longmapsto x=\dfrac{-16\pm\sqrt{16^2-4(16)(5)}}{2(16)}[/tex]

[tex]\sf\longmapsto x=\dfrac{-16\pm√256-320}{32}[/tex]

[tex]\sf\longmapsto x=\dfrac{-16\pm√-64}{32}[/tex]

[tex]\sf\longmapsto x=\dfrac{-16\pm8i}{32}[/tex]

[tex]\sf\longmapsto x=\dfrac{-2\pm i}{4}[/tex]

[tex]\sf\longmapsto x=\dfrac{-1}{2}\pm\dfrac{1}{4}i [/tex]

Answer:

B) 6<x<90

Step-by-step explanation:

48+42=90

48-42=6

There will be a number greater than and a number less than x.

90>6

6<x<90

Hope this helps :)

Answer:  12.73 feet

Step-by-step explanation:  We aren't told the type of vessel.  I'll assume a cylindrical tank.

Volume of a cylindrical tank is V = πr²h

I'm assuming the 1210 is in units of volume, such as ft^3

1210ft^3 = πr²h

h = (1210ft^3 )/(π(5.5)²)

h = 12.73 ft

Answer:

9506

Example:

Multiply the 7 and 8 to get 56.

Since 56 is greater than 9, you'll have to carry the 5.

       5

       9 7

x 9 8

___________

               6

Multiply the 9 and 8 to get 72.

And, add the carried 5 to get 77.

77 is greater than 9, but there are no more digits to carry over, so just write the 7 down in front.

   7  5

       9 7

x 9 8

___________

       7    7   6

Multiply the 7 and 9 to get 63.

Since 63 is greater than 9, you'll have to carry the 6.

       6

       9 7

x 9 8

___________

       7    7   6

             3   0

_____________

Multiply the 9 and 9 to get 81.

And, add the carried 6 to get 87.

87 is greater than 9, but there are no more digits to carry over, so just write the 8 down in front.

   8  6

       9    7

x 9    8

___________

       7    7   6

  8   7    3   0

_____________

Then add 776 + 8730 to get your answer which is 9506! :)

  1    1

      7   7  6

+  8  7  3  0

_________

    9  5  0  6

Answer:

Yes.

Step-by-step explanation:

0.5 minutes is 1/4 of 2 minutes.

0.2 is also 1/4 of 0.8

you get what I'm sayin?

Answer:

2.

Step-by-step explanation:

The number of trees times 13

Answer:

pruduct means multiply so 32.7x0.9=29.43

Answer:

21

Step-by-step explanation:

One number is 3 times another

x and 3x

difference between the numbers is 14,

3x - x = 14

simplify

2x = 14

Divide both sides by 2

x = 7

3x = 21

Answer:

The larger number is 21.

Step-by-step explanation:

let, the smaller number be x.

the larger number be 3*x =3x.

Now,

3x-x=14

or, 2x=14

or, x=14/2

x=7

here,

3x=3*x=3*7=21