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valentinak56 [21]
3 years ago
13

What is the area of this triangle? Enter your answer as a decimal in the box. Round only your final answer to the nearest hundre

dth. ft² The figure contains a triangle. One side is 3.2 feet. A second side is 4.7 feet. The angle between the given sides is 62 degrees.
Mathematics
1 answer:
dlinn [17]3 years ago
7 0
We are given two sides and their included angle. Using the side-angle-side method we can find the Area of the triangle using the following formula:

Area = 0.5 ab sin(γ)

a = Measure of first side = 3.2 feet
b = Measure of second side = 4.7 feet
γ = Angle between the two sides = 62 degrees

Using the values in the above formula, we get:

Area = 0.5 x ( 3.2) x (4.7) x (sin(62))

Area = 6.64 square feet (rounded to nearest hundredth) 

Thus, the Area of the given triangle is 6.64 square feet
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Find the measure of angle A
amid [387]

Step-by-step explanation:

The sum of angles in a triangle = 180°

Therefore,

(7x - 6)° + (5x - 10)° + 52° = 180°

Collect the like terms and add

7x + 5x - 6 - 10 + 52 = 180°

12x + 36 = 180°

12x = 180 - 36

12x = 144

x = 144 / 12

x = 12°

From the above diagram,

Angle A = 7x - 6

A° = 7(12) - 6

A° = 84 - 6

A = 78°

8 0
3 years ago
Paige is filling her tub at a rate of 3/4 gallons every 2/3 minute how many gallons would be in the tub after 3 minutes?
musickatia [10]

If Paige is filling her tub at a rate of 3/4 gallons every 2/3 minute, 3.375 gallons would be in the tub after 3 minutes.

<h3>What is an arithmetic operation?</h3>

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.

It is given that, Paige is filling her tub at a rate of 3/4 gallons every 2/3 minute.

We have to find gallons that would be in the tub after 3 minutes

We can utilize multiplication for the given task,

2/3 minutes = 3/4 gallons

1 minute = 3/4 × 3/2

1 minute =1.125

3 minutes = 3 × 1.125

3 minutes =3.375 gallons

Thus, if Paige is filling her tub at a rate of 3/4 gallons every 2/3 minute, 3.375 gallons would be in the tub after 3 minutes.

Learn more about the arithmetic operation here:

brainly.com/question/20595275

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8 0
1 year ago
Help me please
Arturiano [62]
X^2 - xy + xy - Y^2
=
X^2 - Y^2
4 0
3 years ago
A soccer team roster has 14 players on it. How many groups of 11 players can be created ?
cupoosta [38]

Answer:

364 groups of 11 players can be created

Step-by-step explanation:

The order in which the players are selected is not important. So we use the combinations formula to solve this question.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

In this question:

Teams of 11 players from sets of 14. So

C_{14,11} = \frac{14!}{11!(14-11)!} = 364

364 groups of 11 players can be created

5 0
3 years ago
A school bus is moving 26.8 m/s on flat ground when it begins to accelerate at 4.73 m/s^2. How much time does it take to travel
leva [86]

The school bus will take 5.34 seconds to travel 95.1 m if the bus is moving 26.8 m/s on flat ground when it begins to accelerate at 4.73 m/s².

<h3>What is a quadratic equation?</h3>

Any equation of the form \rm ax^2+bx+c=0 where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.

As we know, the formula for the roots of the quadratic equation is given by:

\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}

We have:

A school bus is moving 26.8 m/s on flat ground when it begins to accelerate at 4.73 m/s².

From the second equation of motion:

\rm s = u + \dfrac{1}{2}at^2

We have given:

s = 95.1 m

u = 26.8 m/s

a = 4.73 m/s²

\rm 95.1 = 26.8 + \dfrac{1}{2}(4.73)t^2

The above equation is a quadratic equation:

After simplification:

\rm \dfrac{4.73}{2}t^2=68.3

\rm t^2=28.879

t = 5.373 seconds ≈ 5.34 seconds

Thus, the school bus will take 5.34 seconds to travel 95.1 m if the bus is moving 26.8 m/s on flat ground when it begins to accelerate at 4.73 m/s².

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4 0
2 years ago
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