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Anvisha [2.4K]
3 years ago
13

A kite is flying 70 feet above the ground and is attached to a string tied to a stake on the ground. The angle of elevation form

ed by the string and the ground is 40°. Find the length of the string to the nearest foot.
Mathematics
1 answer:
frozen [14]3 years ago
3 0
If you draw a diagram of this, your given values of the resulting triangle give you the sides opposite and adjacent of the angle. The formula that uses these sides is tangent.

The tangent of an angle is equal to the ratio of the opposite side over the other non-hypotenuse side (adjacent).

Therefore;

tan(40)=70/x
0.83909963117=70/x
0.83909963117x=70
x=70/0.83909963117
x=83.4227514823

Where x is the length of the string in feet.
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Write the sum as a product simplify the product-2 + -2 + -2 + -2 equals
yuradex [85]
-2+-2+-2+-2
-4+-4
=-8
hope this helps:)
6 0
3 years ago
Which expression is equivalent to (3b 2r) (4b r)? 7b 2r 7b 3r 12b 2r 12b 3r.
Maslowich

To add the variables, add the coefficients with same variable. The expression which is equivalent to given expression is 7b+3r. The option 2 is the correct option.

<h3>What is equivalent expression?</h3>

Equivalent expression are the expression whose result is equal to the original expression, but the way of representation is different.

Given information-

The expression given in the problem is,

(3b+2r)+(4b+r)

Let the resultant expression of the above expression is x. thus,

x=(3b+2r)+(4b+r)

To add the algebraic terms open the brackets first,

x=3b+2r+4b+r

Separate the same variable terms,

x=3b+4b+2r+r

To add the variables, add the coefficients with same variable. Thus,

x=7b+3r

Hence, the expression which is equivalent to given expression is 7b+3r. The option 2 is the correct option.

Learn more about the equivalent expression here;

brainly.com/question/2972832

4 0
2 years ago
Joe is 20 years old. His sister is half his age less 7. How old is his sister?
MakcuM [25]
The answer is 3. 20/2=10 10-7=3
3 0
3 years ago
Find the numbers b such that the average value of f(x) = 7 + 10x − 9x2 on the interval [0, b] is equal to 8.
barxatty [35]

Answer:

The numbers b such that the average value of f(x) = 7 +10\cdot x - 9\cdot x^{2} on the interval [0, b] is equal to 8 are b_{1} \approx 1.434 and b_{2} \approx 0.232.

Step-by-step explanation:

The mean value of function within a given interval is given by the following integral:

\bar f = \frac{1}{b-a}\cdot \int\limits^b_a {f(x)} \, dx

If f(x) = 7 +10\cdot x - 9\cdot x^{2}, a = 0, b = b and \bar f = 8, then:

\frac{1}{b}\cdot \int\limits^b_0 {7+10\cdot x -9\cdot x^{2}} \, dx = 8

\frac{7}{b}\int\limits^b_0 \, dx  + \frac{10}{b}  \int\limits^b_0 {x}\, dx - \frac{9}{b}  \int\limits^b_0 {x^{2}}\, dx = 8

\left(\frac{7}{b} \right)\cdot b + \left(\frac{10}{b} \right)\cdot \left(\frac{b^{2}}{2} \right)-\left(\frac{9}{b} \right)\cdot \left(\frac{b^{3}}{3} \right) = 8

7 + 5\cdot b - 3\cdot b^{2} = 8

3\cdot b^{2}-5\cdot b +1 = 0

The roots of this polynomial are determined by the Quadratic Formula:

b_{1} \approx 1.434 and b_{2} \approx 0.232.

The numbers b such that the average value of f(x) = 7 +10\cdot x - 9\cdot x^{2} on the interval [0, b] is equal to 8 are b_{1} \approx 1.434 and b_{2} \approx 0.232.

7 0
3 years ago
I need help with this.​
r-ruslan [8.4K]

Answer:

DBE = 33

Step-by-step explanation:

add 23 + 27 = 50

subtract 50 from 83

equals 33

4 0
3 years ago
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