Answer:
2450 cubic inches.
Step-by-step explanation:
To find volume, you multiply length x width x height.
You can start with one side of the figure and multiply that out;
11 x 10 x 14, which equals 1540.
Then multiply together the other side of the figure.
13 x 7 x 10, which equals 910.
Adding them together, you'll get the entire volume of the figure;
2450.
For PART A: the height of the pole in the right angle triangle is 30 ft and the correct option is C
For PART B: the lenght of wire 1 in the right angle triangle is 45 ft and the right option is D
<h3 /><h3>What is a right angle triangle?</h3>
A right-angled triangle is a polygon of three sides having one angle as 90 degrees(right angle).
Part A
To calculate the height of the pole in the right angle triangle, we use the formula below.
Formula:
From the diagram,
Given:
- ∅ = 41°
- Opposite = Height of the pole = P
- Adjacent = 34 ft
Substitute these values into equation 1 and solve for P
- tan41° = P/34
- P = 34×tan41°
- P = 29.55
- P ≈ 30 ft
Part B
Similarly, fine the length of wire 1, we use the formula below.
Formula:
- cos∅ = Adjacent/Hypotenus.......... Equation 2
From the diagram,
Given:
- Hypotenus = Wire 1 = x
- ∅ = 41°
- Adjacent = 34 ft
Substitute these values into equation 2 and solve for x
- cos41° = 34/x
- x = 34/cos41°
- x = 45.05
- x ≈ 45 ft
Hence, the height of the pole is 30 ft and the lenght of wire 1 is 45 ft.
Learn more about right angle triangle here: brainly.com/question/64787
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Answer
7.21
Step-by-step explanation:
Data :
(-3,-4) , (1,2)
Where
x₁ = -3 , x₂ = 1
y₁ = -4 , y₂ = 2
Formula for distance
D = √{(x₂-x₁)² + (y₂-y₁)²}
= √{(l--3)² + (2--4)²} = √(16+36) =√52 =7.21
Answer:
0.97
Step-by-step explanation:
Given that a homeowner has two smoke detector alarms installed, one in the dining room (adjacent to the kitchen) and one in an upstairs bedroom (above the kitchen). If cooking produces smoke in the kitchen, the probability of setting off the dining room alarm (D) is .95. The probability of setting off the bedroom alarm (B) is .40.
Both alarms are independent of each other.
Probability for smoke detection=P(any one alarm rings)
=P(Kitchen alarm sets off)+P(bed room alarm sets off)-P(Both sets off)
Since both are independent
P(Both) = ![0.95*0.40\\=0.38](https://tex.z-dn.net/?f=0.95%2A0.40%5C%5C%3D0.38)
Probability for smoke detection
= 0.95+0.40-0.38
=0.97