In ΔKLM, k = 5.1 cm, l = 6.4 cm and m=3.6 cm. Find the area of ΔKLM to the nearest 10th of a square centimeter.

Answer:

The length of the wooden board is about 12.2 feet.

Step-by-step explanation:

Please refer to the diagram attached below.

The base of the board forms a 35° degree angle with the ground.

And we want to find the length of the wooden board.

Since we are given an angle and its adjacent length and we want to find the hypotenuse, we can use the cosine ratio:

[tex]\displaystyle \cos(\theta^\circ)=\frac{\text{adjacent}}{\text{hypotenuse}}[/tex]

The adjacent side is the distance from the wall to the board, which is 10 feet.

And the angle made is 35°.

The hypotenuse is the length of the wooden board. Therefore:

[tex]\displaystyle \cos(35)=\frac{10}{\ell}[/tex]

Solve for the length. Cross-multiply:

[tex]\displaystyle 10=\ell \cos(35)[/tex]

Therefore:

[tex]\displaystyle \ell=\frac{10}{\cos(35)}\approx12.2[/tex]

The length of the wooden board is about 12.2 feet.

Answer:

volume = 549.5 cm³

Step-by-step explanation:

base area m= πr² = (3.14)(5²) = 78.5 cm²

volume = base area x height = 78.5 x 7 = 549.5 cm³

Answer:

549.5 cm3

Step-by-step explanation:

Answer:

$10,857.8

Step-by-step explanation:

Brad wants to have $17000 available to buy a car in 5 years. How much should he deposit now at 9% compounded monthly to reach that goal?

A = p(1 + r/n)^nt

P = A / (1 + r/n)^nt

P = 17000 / (1 + 0.09/12)^(12*5)

= 17,0000 / (1 + 0.0075)^60

= 17,000 / (1.0075)^60

= 17,000 / 1.5657

= 10,857.8

P = $10,857.8

Answer:

(5, - 7 )

Step-by-step explanation:

A translation rule of

(x, y ) → (x + 1, y - 3 )

means add 1 to the original x- coordinate and subtract 3 from the original y- coordinate, that is

(4, - 4 ) → (4 + 1, - 4 - 3 ) → (5, - 7 )

Answer:

`a) $697.90

b) $161.98 gain

c) 23.2096% annual return rate

Step-by-step explanation:

a) $16.45 for one share. 42 shares will cost 16.45 x 42 = $690.90

As she used a broker and paid $7, the total cost for Tarah would be $697.90

b) After the investment, Tarah's gain is $20.64 per stock and she had bought 42. So the total income would be 20.64 x 42 = $866.88. However, she used a broker to sell the stocks as well, so the total gain would only be 859.88.

Overall, the cost was -697.90+859.88 = 161.98 net gain.

c) The rate of return would be the percentage of the original price of stocks that is equal to the net gain. What we are trying to find here is:

What percentage of 697.90 is 161.98?

We can find this percentage by doing a simple division (161.98/697.90) which gives us an answer of 0.232096

In percentages, multiply this decimal by 100 to get a 23.2096% annual return.

I hope I am correct, but some of the vocabularies may have messed up my answers. Hope it helps!

Answer:

2 3/4 cups of flour

Step-by-step explanation:

If Ben makes waffles for three friend then the recipe needs to be multiplied by three. First I would find the common denominator of 2 / 3 and 1/ 4. Then, I would add them together to get the answer of 11/12. After that, multiply the amount of times you are making the recipe (3). Then simplify

Answer:

(b, -a)

Step-by-step explanation:

First note that the rule for a rotation by 270° about the origin is (x,y)→(y,−x)

Note that the coordinates were swapped and the x coordinates negated. Similarly;

Given the coordinate of the point U as (a, b), if the triangle is rotated 270degrees clockwise, the resulting coordinate will  be (b, -a)

Answer:

29

Step-by-step explanation:

217.5÷7.50=29

............ur welcome...............

Answer:

A (25)

Step-by-step explanation:

Pythagorean Theorm

[tex]7^{2} +24^{2} =x^{2}[/tex]

Please vote brainliest!!!

Answer:

y=x

Step-by-step explanation:

m=1 b=0

(1/1) (Rise/run) (0)(y-intercept)

y=1x+0

y=x

Answer:

-3 across the x

Step-by-step explanation:

negative 3 is in the middle of the two, both between point -1 and -5, and point 0 and -6.

When a shape is reflected, it must be reflected over a line. The line of reflection of quadrilateral ABCD onto quadrilateral A'B'C'D is [tex]y = -3[/tex]

From the given graph, we have the following observations

Using points C and C' as reference;

We have:

[tex]C = (-3,-1)[/tex]

[tex]C' = (-3,-5)[/tex]

Notice that both points have the same x-coordinate

This means that the line of reflection is parallel to the x-axis, and it passes through the y-axis.

The point at which it passes through the y-axis is calculated using mid-point formula.

So, we have:

[tex]y = \frac{y_1 + y_2}{2}[/tex]

[tex]y = \frac{-1-5}{2}[/tex]

[tex]y = \frac{-6}{2}[/tex]

[tex]y = -3[/tex]

Hence, the line of reflection is [tex]y = -3[/tex]

See attachment for the line of reflection

Read more about reflections at:

brainly.com/question/17983440

Answer:

the correct answer is 6x^4

Step-by-step explanation:

Mean= Sumof all the numbers/ number of data

So,

23+37+11+58+13+45=187

Now...

187/6=31.166666667 Answer

hope it helps....

What is the mean of this data: 23, 37, 11, 58, 13, 45.

To find the mean of this data, first of all we should add up all the given numbers and then divide by how many numbers there are.

So, [tex] \bf Mean \: = \frac{23 \: + \: 37 \: + \: 11 \: + \: 58 \: + \: 13 \: + \: 45}{6} [/tex]

[tex] \bf Mean \: = \frac{187}{6} [/tex]

[tex] \bf Mean \: = \: 31.17 [/tex]

Answer: A

Step-by-step explanation:

Answer: B. 1 yard, 2 feet, 24 inches

Step-by-step explanation: 1 yard is 36 inches. Each feet is 12 inches, but there are 2 feet so 12 times 2 is 24 inches. And the last is just 24 inches. So, 36 + 24 + 24 = 84 inches

Answer: J

Step-by-step explanation:

Answer:

the account balance after 17 years is $27,981.02

Step-by-step explanation:

Given that

The deposited amount i.e. $9,000

The Rate of interest is 6.9%

Time period = 17 years

We need to find out the account balance after 17 years

As we know that

Future value = Present value × (1 + rate of interest)^time period

= $9,000 × (1 + 6.9%)^17

=  $27,981.02

Hence, the account balance after 17 years is $27,981.02

Answer:

6 * 2/3 = 12/3 = 4

Step-by-step explanation.

you can think about it like this:  6 * 1/3 * 2

1/3 of 6 is 2 because 2 * 3 is 6

2 * 2 is 4, therefore the correct answer is 4

remember doing 6 * 2/3 is the same as doing 6/1 * 2/3 if that helps

Answer:

Negative correlation

Step-by-step explanation:

Correlation analysis is used to measure the type and degree of relationship which exists between two or more independent variables. Relationship between variables may be classed as Negative or positive depending on the nature or behavior of one variable relative to the other. Positive relationship exists when an increase on one variable leads to a corresponding increase in the other other variable.

However, in the scenario described above, handicap decreases with player quality that is the better a player is, the lower the handicap ; similarly, a player with higher handicap with have low quality, this is Hence a classic scenario of Negative correlation or relationship.

Answer:

500

Step-by-step explanation:

it is in the hundreths place

Answer:

Step-by-step explanation:

500 because it's in the hundredths place

Answer:

20 x 5 x 10 = 1,000

4 x 5 x 1 = 20

1,000 divided by 20 = 50

Answer:

40

Step-by-step explanation:

180 -100 = 80

80/2 = 40

Answer:

Volume=8

Step-by-step explanation:

[tex]volume[/tex]⇒[tex]\frac{1}{3}[/tex]×[tex](\frac{1}{2}[/tex]×[tex]3[/tex]×[tex]4^{2}[/tex]×[tex]4)[/tex]

⇒[tex]\frac{1}{3}[/tex]×[tex]3[/tex]×[tex]8[/tex]

[tex]Answer:8[/tex]

hope it helps...

have a great day!!!

Answer:

Center: (0, 6); radius = 4

Step-by-step explanation:

x^2 + y^2 - 12y + 20 = 0

We must complete the square in y.

x^2 + y^2 - 12y = -20

x^2 + y^2 - 12y + 36 = -20 + 36

x^2 + (y - 6)^2 = 16

(x - 0)^2 + (y - 6)^2 = 4^2

Center: (0, 6); radius = 4

Answer: C

Step-by-step explanation:

Answer:

42

Step-by-step explanation:

The remaining sheets of paper can be find in this way:

8-2 = 6

for each sheet of paper she drew 7 stars, so the total can be find in this way:

6 x 7 = 42 stars

Answer:

30:9

Step-by-step explanation: