What is the missing value of the nearest hundredth? tan (blank) = 7.
54.94 degrees
56.94 degrees
81.87 degrees
85.94 degrees
85.94 degrees
What are the ratios for sin A and cos A? The diagram is not drawn to scale. A 5 13 C 12 B
sin A = 5/13, cos A = 12/13
sin A = 12/13, cos A = 5/13
sin A = 12/13, cos A = 5/12
sin A = 12/5, cos A = 5/13
Can you answer the question?
The ratios for sin A and cos A are:
sin A = 5/13, cos A = 12/13
And the next question
Sure! Please provide the question.
To the nearest tenth of a mile, how many miles from the runway is the airplane at the start of this approach? The figure is not drawn to scale.
10,993.5 mi
2.1 mi
1.8 mi
0.8 mi
Without a visual aid, it is difficult to determine the answer. Please provide the figure or more information to solve the problem.
To approach the runway, a pilot of a small plane must begin a 20 degree descent starting from a height of 3.760 feet above.
Without additional information or a figure, it is not possible to determine the distance from the runway to the start of the approach.
What is the area of the figure? The diagram is not drawn to scale. 29 in. 33 in. 28 in.
114 in(sqr)
57 in(sqr)
812 in(sqr)
957 in(sqr)
We need the shape of the figure to determine its area. Please provide more information.
its a rhombus parallelogram
The formula for the area of a rhombus is:
Area = (diagonal 1 × diagonal 2) / 2
The area of a parallelogram is:
Area = base × height
To find the area of the rhombus parallelogram, we need to find the height, which is the distance between opposite sides. We can use the Pythagorean theorem to find the height.
a² + b² = c²
Where a and b are the lengths of two sides of the rhombus, and c is the diagonal.
Here, a = 14 in, b = (33-28)/2 = 2.5 in, and c = 29 in.
So, using Pythagoras Theorem, we get:
height = sqrt(c² - ((a-b)/2)²)
height = sqrt(29² - 13²)
height = sqrt(672)
height = 4(sqrt(42))
Now, using the formula for area of parallelogram, we get:
Area of parallelogram = base × height
Area of parallelogram = 33 in × 4(sqrt(42)) in
Area of parallelogram = 132(sqrt(42)) in²
So, the area of the rhombus parallelogram to the nearest integer is:
Area = 957 in² (Approx)
An isosceles triangle has an area of 175 ft(sqr). If the base is 16 ft, what is the length of each leg? Round the answer to the nearest tenth.
44.5 ft
27.1 ft
23.3 ft
21.9 ft
The area of an isosceles triangle is given by:
Area = (1/2) × base × height
Where base is the length of the base of the triangle, and height is the height of the triangle.
Here, the area of the triangle is 175 ft² and the base is 16 ft. So, we can rearrange the formula to find the height:
height = (2 × Area) / base
height = (2 × 175) / 16
height = 21.875 ft
So, each leg of the isosceles triangle is also a height of the triangle, and they are of equal length.
Using the Pythagorean theorem, we can find the length of each leg:
leg = sqrt((height/2)² + (base/2)²)
leg = sqrt((21.875/2)² + (16/2)²)
leg = sqrt(237.0156)
leg ≈ 15.4 ft
Rounding to the nearest tenth, we get:
leg ≈ 15.4 ft = 15.3 ft (approximately)
Thus, the length of each leg to the nearest tenth is 15.3 ft.