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2 years ago

Please please help me please

Mathematics

1 answer:

vodomira [7]2 years ago

5 0

Answer: 8) 42°, 65°, 115° 9) 1.5, 2

Step-by-step explanation:

8) Right off the bat I know that the measure adjacent to 157° is

23°. With both numbers inside the triangle combined, we get

65° meaning the last number is 115 because that'll add up to 180°

9) Considering the smaller triangle has half the length of the bigger triangle

The length of the rest are half the size too.

EF = 1.5

DF = 2

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It takes 3 hours to paddle a kayak 12 miles downstream and 4 hours for the return trip upstream. Find the rate of the kayak in s

Furkat [3]

The rate of the kayak in still water is 3.5 mph

<h3><u>Solution:</u></h3>

Given that It takes 3 hours to paddle a kayak 12 miles downstream

Distance covered in downstream = 12 miles

Time taken to cover downstream = 3 hours

Also given that it takes 4 hours for the return trip upstream

Distance covered in upstream = 12 miles

Time taken to cover upstream = 4 hours

<em><u>Formula to remember:</u></em>

If the speed of a boat in still water is u km/hr and the speed of the stream is v km/hr, then: Speed downstream = (u + v) km/hr and Speed upstream = (u - v) km/hr

Let the speed of Kayak in still water = x mph

And The speed of current = y mph

For downstream:

Speed downstream = x + y

We know that $speed = \frac{distance}{time}$

$\frac{distance}{time} = x + y$

$x + y = \frac{12}{3}$

x + y = 4 ------ eqn 1

<em><u>For upstream:</u></em>

Speed upstream = x - y

$\frac{12}{4} = x - y$

x - y = 3 -------- eqn 2

Now let us eqn 1 and eqn 2

Add eqn 1 and eqn 2

x + y + x - y = 4 + 3

2x = 7

x = 3.5

speed of Kayak in still water = x mph = 3.5 mph

6 0

3 years ago

Factor the following polynomial:<br> 5x(a - b) – 2y(a - b)

Afina-wow [57]

Answer:

(a - b)(5x - 2y)

Step-by-step explanation:

5x(a - b) – 2y(a - b) =

The factors in parentheses (shown in bold) are a common factor.

Factor (a - b) out from both terms.

= (a - b)(5x - 2y)

5 0

3 years ago

standard automobile license plates in a country display 3 numbers, followed by 2 letters, followed by 2 numbers. how many differ

RoseWind [281]

The system of standard automotive license plates allows for a variety of standard plates is 39917124 ways.

<h3>Define the term permutation?</h3>

The number of potential arrangements for a given set is assessed mathematical terms, but this procedure is referred to as permutation.
The arrangement's order is essential when using permutations.

For the stated data;

Standard car license plates in a nation typically have 3 digits, 2 letters, and 2 numbers.

There are total 9 digits (0 - 9).

There are total 26 letter (A - Z)

Repetitions of letters and numbers given allowed.

Thus, numbers and the letters ca be arranged as;

1st place = 9 ways.

2nd place = 9 ways.

3nd place = 9 ways.

4th place = 26 ways.

6th place = 26 ways.

7th place = 9 ways.

8th place = 9 ways.

Total ways = 9×9×9×26×26×9×9

Total ways = 39917124

Thus, the system of standard automotive license plates allows for a variety of standard plates is 39917124 ways.

To know more about the permutation, here

brainly.com/question/1216161

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5 0

1 year ago

How do i simplify it?

Lemur [1.5K]

Answer:

6 3/4x

Step-by-step explanation:

If you follow PEMDAS (Parenthesis, Exponent, Multiply, Divide, Add, Subtract) then you do what is inside the parenthesis first.

3 1/2 divided by 2= 1 3/4

1 3/4 plus 5= 6 3/5

Then, you add the x and since there is no other variable like x, then you just leave it with 6 3/4.

Hope that helped! :)

3 0

2 years ago

HELP ASAP I WILL GIVE BRAINLIEST

melomori [17]

Answer:

x = 15

Step-by-step explanation:

The easiest way to solve this is to realise that a triangle takes up half the area of a rectangle of the same width and height.

We are told that the width of the triangle is 10, and that the line of length 10 is perpendicular to the longest side of the triangle. Because of that we know that x can be multiplied by ten to get the area of the rectangle that is twice the area of the triangle.

We are also told that the triangle's area is 75 units. With all of that put together, we can say:

$a = (10 * x) / 2\\75 = 5 * x\\x = 15$

3 0

3 years ago