If you borrowed $2000 from your friend to buy a triathlon bike with a simple interest loan of 7%
annual interest rate for 6 months. How much money will you need to pay them back after the 6
months?

The geometric mean of 18 and 30 is the product of 18 and 30 square rooted, so:

      [tex]\sqrt{18*30} =\sqrt{540} =\sqrt{9*4*15} =\sqrt{36*15} =6\sqrt{15}[/tex]

Hope that helps!

Answer:

1. 392 in², 2. 94.99 cm², 3. 145.2 ft², 4. 161.5 m², 5. 17 ft and 81 cm

Step-by-step explanation:

1. A = 16 x 19

A = 304

A = 1/2(11x16)
A = 1/2(176)
A = 88
304 + 88 = 392 in²

2. A = πr²
A = 3.14*5.5²
A = 3.14*30.25
A = 94.985
A = 94.99 cm²

3. A = 1/2(bh)
A = 1/2(11x26.4)
A = 1/2(290.4)
A = 145.2 ft²

4. A = bh
A = 9.5*17
A = 161.5 m²

5. part 1
A = (1/2) · (p + q) · h

112 = (1/2)(11+q)(8)
112 = 4(11+q)
112 = 44 + 4q
68 = 4q
17 = q

17 ft

5. part 2
A = lw
364.5 = 27w
13.5 = w
P = 2l + 2w
P = 2(27) + 2(13.5)
P = 54 + 27
P = 81
81 cm

Hope this helps :)

Answer:

Hi I'm always here to help!!!

___________________________

x = 5

___________________________

Have a great day!!!!!!!

Answer:

8490.56 yd^2

Step-by-step explanation:

find radius by dividing 104 by 2

we get 52 yd

now the area of circle is [tex]\pi r^{2}[/tex]

we use 3.14 for pi

so 3.14 times 52*52

3.14 times 2704

8490.56

Answer:

Step-by-step explanation:

3^(n-1) * (n(n+1)/2 = 20412

The n(n +1)/2 is a factorial which is defined for integers so we are looking for a whole number solution.

We could draw a graph manually or using software and get the solution where the graph cuts the  x axis.

Also we could find the prime  factors of 20412:

20412 = 2^2 * 3^6  * 7

and try substituting 2, 3 and 7 into the equation

Using this method we see that one solution is n = 7.

I could have tried  n = 7 first because  3^n-1 = 3^6!!

Answer:

2.082.

Step-by-step explanation:

Solution,

Given,

Area ( A ) = 26.025 m².

Length ( L ) = 12.5 m.

Now,

Breadth ( B ) = Area ÷ Length.

= 26.025 ÷ 12.5

= 2.082.

Thus, The breadth of the room is 2.082 m.

Answer:

See below ↓

Step-by-step explanation:

Part A

Part B

Answer:

3419.46 mm3

Step-by-step explanation:

volume of cylinder = area of circle x heoight

A of circle  = pie r sqy = 3.14 x 11 x 11 = 379.94

379.94 x 9 = 3419.46

Answer:

x = 16.71m

Step-by-step explanation:

KL² = KX² + LX² - 2KX × LX × cos(KXL)

x² = 26² + 20² - 2 × 26 × 20 × cos(40°)

x = 16.713m ≈ 16.71m

PLEASE MARK ME AS BRAINLIEST AND HAVE A NICE DAY :)

Answer:

Absolute Value measures the distance a number is from zero on the number line. ... 20) 2 - 5 = -3 21) -7+4 = -3 22) 20 - 15 = 5 23) -11 - 20 = -31

Step-by-step explanation:

Answer: hard work

Step-by-step explanation: I dint know what your learning but it’s not easy

Answer:

C

Step-by-step explanation:

There are 4 aces and 4 sixes. 4 + 4 is 8 (since it says or) so the chance is 8 / 52. 8 / 52 simplified, divide both sides by 4 and you get 2 / 13.

Answer:

C

Step-by-step explanation:

there are 4 aces and 4 sixes in a deck of 52 cards.

"And" means a probability * another probability

"Or" means a probability + another probability.

In this case, it is (probability of picking an ace) + (probability of picking an six).

[tex]\frac{4}{54} + \frac{4}{54} = \frac{8}{54} = \frac{2}{13}[/tex]

Please pick as brainliest!

Answer:

⅙

Step-by-step explanation:

it could be 6 and 1, 5 and 2, 4 and 3, 3 and 4, 2 and 5 or 1 and 6.

It is 2 fair dice, so all together, the probability is 36.

6/36 can be simplified to ⅙

The nth term of the sequence whose integers are between 1 -7 such that there is the permission of repetition but no two consecutive digits must be even is 1.254 × 10¹¹

Consecutive numbers are those numbers that succeed each other in increasing order from least to greatest. The numbers that are given:

Now, suppose a (n) denotes the number of n-digit positive integers as stated in the question, thereby using:

Then, the number of n can be computed as n!

= (7!) × (6!) × (5!) × (4!) × (3!) × (2!) × (1!)

= 1.254 × 10¹¹

Learn more about consecutive numbers here:
https://brainly.com/question/26352026

The nth term of the series of integers is between 1 -7 such that there is the permission of repetition but no two consecutive digits must be even is 1.254 × 10¹¹

Consecutive numbers are those numbers that succeed by each other in increasing order from lowest to greatest such are 1, 2, 3, 4, 5, 6, or 7.

Now, suppose n represents the number of n-digit positive integers.

1, 2, 3, 4, 5, 6, or 7 with the permission of repetition no two consecutive digits are even.

Then, the number of n can be calculated as n!

= (7!) × (6!) × (5!) × (4!) × (3!) × (2!) × (1!)

= 1.254 × 10¹¹

Learn more about consecutive numbers here:

brainly.com/question/26352026

#SPJ4

Answer:

Step-by-step explanation:

Answer:

y-x

Step-by-step explanation:

as y>X so y-x is positive

hence the required expression is y-x

Answer:

Step-by-step explanation:

The last one.

A would be a quadratic if the leading coefficient was anything but 0. 0 eleminates the x^2. Not A

B has no x^2 term to begin with. B is not the answer.

C is in exponential form. C is not the answer

D has an x^2 term. There is nothing using x that is higher. D is the answer.

Answer:

the volume is 210

Step-by-step explanation:

length x width x height

length=6

width=5

height=7

6 x 5 = 30

30 x 7 = 210

Step-by-step explanation:

First you do pie then you will get 616 then you divide 616 by 2 and youll get 308 then yoi do it again and youll get 154

24

Explanation:

R = D + 12 (1)

D = B + 6 (2)

R = 2*B (3)

Put (3) into (1): 2*B = D + 12 (4)

Rewrite (2) as B = D - 6 and put this into (4): 2*(D - 6) = D + 12

So: 2D - 12 = D + 12

Subtract D from both sides and add 12 to both sides to get: D = 24

(not suree)

Answer:

x=140(corresponding angle)

Corresponding angles that are in the same position on two parallel lines intersected by a transversal line on the parallel lines.

Corresponding angles are equal

The 140° angle on line m and the x° angle on line n are corresponding angles.

The value of x is 140°

The angles that are in the same position on two parallel lines intersected by a transversal line on the parallel lines.

Corresponding angles are equal.

We have,

The figure is given,

Line m and Line n are parallel.

t line is the transversal line on the two parallel lines, line m and line n.

We see that,

140° angle on line m is corresponding to the x° angle on line n.

Corresponding angles are equal.

So,

140° = x°

x° = 140°

Thus,

The 140° angle on line m and the x° angle on line n are corresponding angles.

The value of x is 140°

Learn more about corresponding angles here:

https://brainly.com/question/1597341

#SPJ5

Answer:

a. 7 by 21

b. a(-12, 2), b(-12, -5), c(9, -5)

Step-by-step explanation:

AD is 3 times the length of AB. X can be the length of AB. Then 3x would be the length of AD. The perimeter is 56, which would also be 3x + x + 3x + x which is 8x. This gives us 8x = 56, meaning that x is 7, or the length of AB is 7. Because AD is 3 times the length of AB (which is 7), AD = 21. Therefore, the dimensions of the rectangle ABCD is 7 by 21.

Coordinates of A have to be 21 units away from D since AD = 21. It goes in the left direction, meaning that 21 is subtracted from 9 (since this is a horizontal edge involving x coordinates) while the y value remains the same. The result is (-12, 2). For coordinate B, it has to be 7 units away from A downwards since AB = 7. This means that you subtract 7 from 2 (involving only the y coordinates), resulting in (-12, -5). For coordinate C, it has to be 21 units from B since BC = AD = 21.  Because C is right compared to B, you have to add 21 to -12 (involving only the x coordinate) resulting in (9, -5).

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Let's see ~

[tex]\qquad \sf  \dashrightarrow \:j + j + 2k[/tex]

[tex]\qquad \sf  \dashrightarrow \:2j + 2k[/tex]

[tex]\qquad \sf  \dashrightarrow \:2(j + k)[/tex]

・．━━━━━━━━━━†━━━━━━━━━━━━．・

What is 2/5 of 15?

Want to quickly learn or show students how to convert 2/5 of 15? Play this very quick and fun video now!

How to Calculate the Fraction of a Whole Number

  How to Calculate the Fraction of a Whole Number

You probably know that the number above the fraction line is called the numerator and the number below it is called the denominator. To work out the fraction of any number, we first need to convert that whole number into a fraction as well.

Here's a little tip for you. Any number can be converted to fraction if you use 1 as the denominator:

15

1

So now that we've converted 15 into a fraction, to work out the answer, we put the fraction 2/5 side by side with our new fraction, 15/1 so that we can multiply those two fractions.

That's right, all you need to do is convert the whole number to a fraction and then multiply the numerators and denominators. Let's take a look:

2 x 15

5 x 1

=

30

5

In this case, our new fraction can actually be simplified down further. To do that, we need to find the greatest common factor of both numbers.

You can use our handy GCF calculator to work this out yourself if you want to. We already did that, and the GCF of 30 and 5 is 5.

We can now divide both the new numerator and the denominator by 5 to simplify this fraction down to its lowest terms.

30/5 = 6

5/5 = 1

When we put that together, we can see that our complete answer is:

6

1

The complete and simplified answer to the question what is 2/5 of 15 is:

6

hope this helps

Missing number is 6

Set up the proportion

[tex] \frac{2}{5} = \frac{x}{15} [/tex]

Cross multiply to get 5x=30.

Divide both sides by 30 to get the answer

5x÷5=30÷5

x=6

Answer:

have a good day

Step-by-step explanation:

rump 2020