A park in a subdivision has a triangular shape. Two adjacent sides of the park are 433 feet and 520 feet. The angle between the side is 37 degrees. Find the area of the park to the nearest square foot. ​

Answer:

OC. log,8

Step-by-step explanation:

5 log,2 -log,4, = 0.903089987

log,8, = same as above

The expression  [tex]5log2-log4[/tex] is equivalent to  [tex]log8[/tex]  which is option c.

A logarithm answers the question "How many of this number do we multiply to get that number?" Example How many 2s must we multiply to get 8 that is 3.

Given,

[tex]5log2-log4[/tex]

= [tex]log2^5-log4[/tex]

= [tex]log32-log4[/tex]

= [tex]log\frac{32}{4}[/tex]

= [tex]log8[/tex]

Hence, the expression  [tex]5log2-log4[/tex] is equivalent to  [tex]log8[/tex] .

Learn more about Log:

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Answer:

C

because

[tex]42 \div 7 = 6 \\ 7 \times 6 = 42[/tex]

Answer:

122degrees

Step-by-step explanation:

Since triangle BDC is a triangle, hence;

49 + 70 + <DBC = 180

<DBC = 180 - (70+49)

<DBC = 180 - 119

<DBC = 61

Since angle at the vertex is half the angle of its intercepted arc, then;

<DBC = 1/2 x

61 = 1/2 x

x = 61 * 2

x = 122degrees

Hence the measure of arcDC is 122degrees

Answer:

a) P(0, 2), Q(4, 0)

b) Please find attached the plot of the points P and Q on a chart made with MS Excel

c) Please find the graph of the line that represent the function 4·x + 2·y = 8 for values of x from -2 to 3 made with the Insert Chart feature on MS Excel

Step-by-step explanation:

The given equation for the line is 4·x + 2·y = 8

a) The coordinates of P = P(0, _)

Therefore, the point 'P', which is the point where the variable y = 0, is the point the (straight line) graph intercepts the x-axis (the x-intercept)

When y = 0 from the given equation, we get;

4·x + 2·y = 8

At the point y = 0;

4·x + 2 × 0 = 8

x = 8/4 = 2

x = 2

∴ The coordinates of P = P(0, _) = P(0, 2)

Similarly, when x = 0, we get;

4·x + 2·y = 8

At the point x = 0;

4 × 0 + 2·y = 8

y = 8/2 = 4

y = 4

∴ The coordinates of Q = Q(_, 0) = Q(4, 0)

b) Rewriting the given equation in terms of 'y' gives;

y = (8 - 4·x)/2 = 4 - 2·x

y = 4 - 2·x

With the help of MS Excel, the points P and Q are plotted in the attached graph

c) The line of the graph of the function 4·x + 2·y = 8 for values of x from -2 to 3 can be added by Changing the Chart Type to 'Scatter with Smooth Lines and Markers' within MS Excel as presented in the included graph of the line.

Answer:

c

Step-by-step explanation:

np!

Answer:

B

Step-by-step explanation:

since it is A over H (SohCahToa)

Answer: it is 3 definitely

Step-by-step explanation:

There are 4 people and each are getting one drink for 1.50 and 3 tacos so it makes sense to do 4 ( 1.50 + 3x ) by the way x stands for the money for the tacos

Answer:

Discontinuity at (1, 7), zero at (-4/3 , 0)

Step-by-step explanation:

[tex]3x^{2} + x - 4[/tex] = (3x + 4)(x - 1) = 0

                        x = -4/3   or 1

But x = 1 makes f(x) undefined, so there is discontinuity at x = 1

and there is a zero at x = -4/3.

3x + 4 = 3(1) + 4 = 3 + 4 = 7

If you were to graph this function, then you would get the line y = 3x + 4 with a hole at (1, 7).   The line would cross the x-axis at (-4/3, 0) with discontinuity at (1, 7)

Answer:

Step-by-step explanation:

volume of sphere = 4πr³/3

= 4π×512/3

≈ 2143.6 cm³

Answer:

$1.26

Step-by-step explanation:

So you just have to find 2.25% of 56.

To find a certain percentage of something, you multiply it. Let's write out a sentence explaining what you need to do. You have to find:

2.25% of 56

Whenever you've got a sentence like this, all you've got to do is change the word "of" to a multiplication symbol. And now you've got an expression:

2.25% × 56

Let's convert the percentage to a decimal. To do this, you simply remove the percent symbol, then move the decimal point 2 places to the left.

2.25% = 0.0225

And now you have:

0.0225 × 56

Then you just do the math! I am assuming you already know how to do decimal multiplication so I'm not going to explain the process here.

But once you multiply 0.0225 × 56, you get an answer: 1.26

Hope this was helpful to you, and don't forget to choose the Brainliest answer!

Answer:

4 and 9

Step-by-step explanation:

here's how it should be:

(36÷4) - (36÷9)

9 - 4

5

Answer:

(36 ÷ 4) − (36 ÷ 9) = 5

Step-by-step explanation:

To solve, we need to find the quotient of 36 divided by each number listed:

 ║12 ⇒ 36 ÷ 12 = 3

 ║8 ⇒ 36 ÷ 8 = 4.5

 ║9 ⇒ 36 ÷ 9 = 4

 ║4 ⇒ 36 ÷ 4 = 9

So, which of these two numbers can you subtract from each other to get 5?

 ║We can subtract 4 from 9 to get 5.

Therefore, our answer should be:

 ║(36 ÷ 4) − (36 ÷ 9) = 5

Answer:

1/5 ÷ 1/10 = 10/5

Step-by-step explanation:

Step-by-step explanation:

here's your solution

==> by using Pythagoras theorem

==> base^2 = hypotenuse^2 - perpendicular^2

==> hypotenuse = 18 , perpendicular = 16

==> base^2 = 18^2 - 16^2

==> base^2 = 324 - 256

==> base^2 = 68

==> base = √68

==> base = 8.24

[tex]hope \: it \: helps[/tex]

Answer:

The first step is to determine the largest number that evenly divides the numerator and the denominator (also called the Greatest Common Factor of these numbers). In other words, what's the biggest number that goes into '2' (the numerator) and '4', the denominator?

Step 2. Once you've answered step 1 and realized that, for our fraction at least, the greatest number that evenly divides 2 and 4 is '2'. Now divide the top and the bottom by 2 to get your simplified fraction which is ½.

I hope this helps if you have any questions on my answer plz let me know Ty :3

Answer:

find the greatest common factor, then divide the bottom and the top, and you have that as your answer

hope this helps

have a good day :)

Step-by-step explanation:

Part B: 65

Part A: Since there are 30 students of the class and 17 are boys, there are 13 girls. 13/30 = 43.33 = 43%.

Part B: Since 43% of the class are girls, we do 150*0.43 for the whole 7th grade which is 64.5 which I rounded to 65.

Answer:

1 3/5, 1.6 or 8/5

Step-by-step explanation:

Use this rule a/bxc=ac/b

2*4/5

Simplify 2*4 to 8

8/5

Convert to mixed fraction

1 3/5

Decimal form:1.6

Answer:

14

Step-by-step explanation:

so use formula BH/2

so 7x4/2

28/2

area=14

Answer:

14

Step-by-step explanation:

succes

...............

Answer:

this is insolveable

Step-by-step explanation:

Answer:

The answer is (13,48,50)

Answer:

Given, ∠MNP=107 degree.

Therefore, ∠QPN= 107 degree. [as, MN=PQ]

We know, sum of four angles of a quadrilateral is 360 degree.

And as MN=PQ, ∠NMQ=∠MQP.

Therefore, ∠MQP= {360 degree-( 107degree+ 107 degree)}/2

                             =( 360 degree-214 degree)/2

                            = 146 degree/2

                            =73 degree.

hope this will help you.

Step-by-step explanation:

Answer:

a) (3,7) b) 35

Step-by-step explanation:

Answer:

Step-by-step explanation:

we need to make two rectangles.  

one that is 13.1 Km  X  (9.3-4.2) Km

13.1 * 5.1 = 66.81

the next box is 4.2 X (13.1-8.1)

4.2*5 = 21

area total = 21 + 66.81 = 87.81[tex]Km^{2}[/tex]