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Afina-wow [57]
2 years ago
10

Find the number of degrees in the third angle of the triangle. 100 degree and 49 degrees

Mathematics
1 answer:
Vesna [10]2 years ago
4 0

Answer:

31

Step-by-step explanation:

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Sarah kicked a ball in the air. The function
Aleksandr-060686 [28]

Answer: The ball hits the ground at 5 s

Step-by-step explanation:

The question seems incomplete and there is not enough data. However, we can work with the following function to understand this problem:

f=30 t- 6t^{2} (1)

Where f models the height of the ball in meters and t the time.

Now, let's find the time t when the ball Sara kicked hits the ground (this is when f=0 m):

0=30 t- 6t^{2} (2)

Rearranging the equation:

6t^{2}-30 t=0 (3)

Dividing both sides of the equation by 6:

t^{2}-5 t=0 (4)

This quadratic equation can be written in the form at^{2}+bt+c=0, and can be solved with the following formula:  

t=\frac{-b \pm \sqrt{b^{2}-4ac}}{2a} (5)  

Where:  

a=1  

b=-5  

c=0  

Substituting the known values:  

t=\frac{-(-5) \pm \sqrt{(-5)^{2}-4(1)(0)}}{2(1)} (6)  

Solving we have the following result:

t=5 s  This means the ball hit the ground 5 seconds after it was kicked by Sara.

6 0
3 years ago
The area of a rectangle is represented by the expression 6x³y5. Which of the following could be the
oee [108]

The length and width of the rectangle are: 2x^2y^2 , 3xy^3

<h3>What is the area of the rectangle?</h3>

The area of the rectangle is the product of the length and width of a given rectangle.

The area of the rectangle = length × Width

The area of a rectangle is represented by the expression 6x^3y^5.

The area of the rectangle = 2x^2y^2 \times 3xy^3

                                          = 6x^3y^5

So, the length and width of the rectangle are: 2x^2y^2 , 3xy^3

Learn more about the area;

brainly.com/question/1658516

#SPJ1

7 0
1 year ago
A savings account compounds interest, at a rate of 25%, once a year. Eve puts $500 in the account as the principal. How can Eve
vladimir1956 [14]
Year 1: 500 + 0.25*500 = 500 [1 + 0.25]

Year 2: 500*[ 1 + 0.25] * [1 + 0.25] = 500 [1 + 0.25]^2

Year x: 500 [1 + 0.25]^x

Option d: A(x) = 500[1 + .25]^x, where .25 is the interest rate
5 0
3 years ago
A 10 meter long wire is attached to the top of a flagpole 5√3 meters long. What is the measure of the angle the wire makes with
liberstina [14]
Well there has to be a right angle in there somewhere as the pole must be perpendicular to the ground.

Using the sine rule:
sinA/a = sinB/b where a = 10, A = 90, b = 5√3, B = B
Re-arrange for B, B = arcsin (b(sinA)/a)
B = arcsin(5√3(sin90)/10)
B = 60 degrees.

Answer is C
7 0
3 years ago
Using the information in the table, how many feet are in 6 yards?
Goryan [66]

Answer:

18

Step-by-step explanation:

3 0
2 years ago
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