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Evgesh-ka [11]
2 years ago
15

Either enter an exact answer in terms of \piπ or use 3.143.14 for \piπ and enter your answer as a decimal.

Mathematics
1 answer:
BaLLatris [955]2 years ago
3 0

Answer:

The area of the shape is 27 \pi\ units^{2}

Step-by-step explanation:

we know that

The area of the shape is the area of a three quarter of circle

The area of a three quarter of circle is equal to

A=\frac{3}{4}\pi r^{2}

we have

r=6\ units

substitute

A=\frac{3}{4}\pi (6^{2})=27 \pi\ units^{2}


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katovenus [111]
For
ax^2+bx+c=
and a=1

b/2 squared=c makes a perfect square

b=16
16/2=8
8^2=64

the value of c should be 64

factored form
(x+8)^2
5 0
2 years ago
Of the students at I.S. 59, 230 signed up for the school picnic. That was 50% of all students in the school. How many students a
Nastasia [14]

Answer: 460 students

Step-by-step explanation:

Based on the information given in the question, let the total number of students that attend I.S. 59 be represented by x.

Since we've been given the information that 230 signed up for the school picnic which was 50% of all students in the school. Then, the students in the school will be:

= 50% of x = 230

0.5 × x = 230

0.5x = 230

x = 230/0.5

x = 460

Therefore, 460 students attend the school.

4 0
2 years ago
Write the product as a sum: 14cos(39x)sin(19x)
charle [14.2K]

Recall that

sin(<em>a</em> + <em>b</em>) = sin(<em>a</em>) cos(<em>b</em>) + cos(<em>a</em>) sin(<em>b</em>)

sin(<em>a</em> - <em>b</em>) = sin(<em>a</em>) cos(<em>b</em>) - cos(<em>a</em>) sin(<em>b</em>)

Adding these together gives

sin(<em>a</em> + <em>b</em>) + sin(<em>a</em> - <em>b</em>) = 2 sin(<em>a</em>) cos(<em>b</em>)

To get 14 cos(39<em>x</em>) sin(19<em>x</em>) on the right side, multiply both sides by 7 and replace <em>a</em> = 19<em>x</em> and <em>b</em> = 39<em>x</em> :

7 (sin(19<em>x</em> + 39<em>x</em>) + sin(19<em>x</em> - 39<em>x</em>)) = 14 cos(39<em>x</em>) sin(19<em>x</em>)

7 (sin(58<em>x</em>) + sin(-20<em>x</em>)) = 14 cos(39<em>x</em>) sin(19<em>x</em>)

7 (sin(58<em>x</em>) - sin(20<em>x</em>)) = 14 cos(39<em>x</em>) sin(19<em>x</em>)

4 0
2 years ago
Its this one lol sorry
Alenkasestr [34]

Answer:

x = 41.7

WYZ = 63.4 degrees

WZY = 33.2 degrees

ZWY = 83.4 degrees

Hope that helps!

3 0
2 years ago
Match the key aspect of a function's graph with its meaning
Aliun [14]

Answer:

y- intercept --> Location on graph where input is zero

f(x) < 0         --> Intervals of the domain where the graph is below the x-axis

x- intercept --> Location on graph where output is zero

f(x) > 0         --> Intervals of the domain where the graph is above the x-axis

Step-by-step explanation:

Y-intercept: The y-intercept is equivalent to the point where x= 0. 'x' is the input variable in an equation, therefore the y-intercept is where the input, or x, is equal to 0.

f(x) <0: Notice the 'lesser than' sign. This means that the value of f(x), or 'y', is less than 0. This means that this area consists of intervals of the domain below the x-axis.

X-intercept: The x-intercept is the location of the graph where y= 0, or the output is equal to 0.

f(x) >0: In this, there is a 'greater than' sign. This means that f(x), or 'y', is greater than 0. Therefore, this consists of intervals of the domain above the x-axis.

8 0
2 years ago
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