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Evgesh-ka [11]
3 years ago
12

You need to find the area of the shaded region

Mathematics
1 answer:
hammer [34]3 years ago
3 0

Answer:

8.695=area of shaded region

Step-by-step explanation:

pi x 16=50.265

this is the whole circle

the radius is also the side of the hexagon

the picture is formula for area of hexagon

if you replace a by the side which is 4

the answer is 41.57

50.265-41.57=8.695

You might be interested in
Which of the following is equivalent to tan 5pie/6?<br>​
nataly862011 [7]

Answer: should be -1/ sqrt of 3. If it asks to rationalize it could be -sqrt of 3/3

Step-by-step explanation:

5 0
2 years ago
There are 4 boys and 2 girls from the seventh grade and 3 boys and 5 girls from the eighth grade on the soccer team. Coach Hart
tatuchka [14]

Answer:

The answer is a). 5/24.

Step-by-step explanation:

For the seventh graders there are 4 Boys + 2 Girls which totals 6 students.

  • The probability that a girl will be picked from the <em>seventh graders is 2/6</em>

For the eighth graders, there are 3 Boys + 5 Girls which totals 8 students

  • The probability that a girl will be picked from the <em>eighth graders is 5/8</em>

To find the<u> probability that both are girls</u>, we multiply the two fractions together:

  • 2/6 * 5/8 = 5/24
7 0
3 years ago
Estimate the sum 8/10 + 1/9
RideAnS [48]

Answer:

41/45

Step by Step Explanation:

Add: 8/

10

+ 1/

9

= 8 · 9/

10 · 9

+ 1 · 10/

9 · 10

= 72/

90

+ 10/

90

= 72 + 10/

90

= 82/

90

= 2 · 41/

2 · 45

= 41/

45

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(10, 9) = 90. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 10 × 9 = 90. In the following intermediate step, cancel by a common factor of 2 gives 41/

45

.

In other words - eight tenths plus one ninth = forty-one forty-fifths.

8 0
2 years ago
4x^2 y+8xy'+y=x, y(1)= 9, y'(1)=25
jarptica [38.1K]

Answer with explanation:

\rightarrow 4x^2y+8x y'+y=x\\\\\rightarrow 8xy'+y(1+4x^2)=x\\\\\rightarrow y'+y\times\frac{1+4x^2}{8x}=\frac{1}{8}

--------------------------------------------------------Dividing both sides by 8 x

This Integration is of the form ⇒y'+p y=q,which is Linear differential equation.

Integrating Factor

 =e^{\int \frac{1+4x^2}{8x} dx}\\\\e^{\log x^{\frac{1}{8}+\frac{x^2}{2}}\\\\=x^{\frac{1}{8}}\times e^{\frac{x^2}{2}}

Multiplying both sides by Integrating Factor  

x^{\frac{1}{8}}\times e^{\frac{x^2}{2}}\times [y'+y\times\frac{1+4x^2}{8x}]=\frac{1}{8}\times x^{\frac{1}{8}}\times e^{\frac{x^2}{2}}\\\\ \text{Integrating both sides}\\\\y\times x^{\frac{1}{8}}\times e^{\frac{x^2}{2}}=\frac{1}{8}\int {x^{\frac{1}{8}}\times e^{\frac{x^2}{2}}} \, dx \\\\8y\times x^{\frac{1}{8}}\times e^{\frac{x^2}{2}}=\int {x^{\frac{1}{8}}\times e^{\frac{x^2}{2}}} \, dx\\\\8y\times x^{\frac{1}{8}}\times e^{\frac{x^2}{2}}=-[x^{\frac{9}{8}}]\times\frac{ \Gamma(0.5625, -x^2)}{(-x^2)^{\frac{9}{16}}}\\\\8y\times x^{\frac{1}{8}}\times e^{\frac{x^2}{2}}=(-1)^{\frac{-1}{8}}[ \Gamma(0.5625, -x^2)]+C-----(1)

When , x=1, gives , y=9.

Evaluate the value of C and substitute in the equation 1.

6 0
3 years ago
Ay 4 function is represented by the equation y = 2(x + 1). Complete the table and graph for the function. Does the quation repre
aleksklad [387]

Use point (-3,2):

2 = 4*(-3) + b

b = 2 +12

b = 14

The equation is y = 4x + 14

Step-by-step explanation:

3 0
2 years ago
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