Answer:
It had flown 2620 ft along the diagonal.
Step-by-step explanation:
When the plane is taking off it forms we can form a triangle with it's height, horizontal distance and diagonal distance, which can be seen in the attached drawing. We can use the sine relation on the right triangle to determine "x", as shown below:
sin(11°) = 500/x
x*sin(11) = 500
x = 500/[sin(11)] = 2620 ft
It had flown 2620 ft along the diagonal.
The volume of the single crayon is 89.5 cm³, then the total volume of the crayons will be 2148 cm³. Then the correct option is D.
<h3>What is Geometry?</h3>
It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
A Crayon is shown here.
There are 24 crayons in a box.
The approximate total volume of the crayons will be
Total Volume of crayons = 24 × volume of the single crayon
The crayon is the combination of the cone and the cylinder
Then the volume of the single crayon (V₁) will be
Then the Total volume will be
Total volume = 24 × 89.5
Total volume = 2148 cm³
More about the geometry link is given below.
brainly.com/question/7558603
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Answer:
y=25
2 of the y's = 50 in total
Step-by-step explanation:
180-115=x
x=65
180-90-65=y
y=25
Step-by-step explanation:
The translation vector v can be resolved into its x and y components, where x² + y² = 10 (Pythagoras' Theorem) and y = 3x
(parallel to y = 3x - 2, slope = 3).
We have x² + (3x)² = 10,
=> x² + 9x² = 10, 10x² = 10, x = 1 or x = -1.
When x = 1, y = 3. When x = -1, y = -3.
Therefore 2 possible translation vectors
are (1, 3) or (-1, -3).
First new C' = (2 + (1), 3 + (3)) = (3, 6).
Second new C'= (2 + (-1), 3 + (-3)) = (1, 0).
The possible images are (3, 6) and (1, 0).
Answer:
a. 7 by 21
b. a(-12, 2), b(-12, -5), c(9, -5)
Step-by-step explanation:
AD is 3 times the length of AB. X can be the length of AB. Then 3x would be the length of AD. The perimeter is 56, which would also be 3x + x + 3x + x which is 8x. This gives us 8x = 56, meaning that x is 7, or the length of AB is 7. Because AD is 3 times the length of AB (which is 7), AD = 21. Therefore, the dimensions of the rectangle ABCD is 7 by 21.
Coordinates of A have to be 21 units away from D since AD = 21. It goes in the left direction, meaning that 21 is subtracted from 9 (since this is a horizontal edge involving x coordinates) while the y value remains the same. The result is (-12, 2). For coordinate B, it has to be 7 units away from A downwards since AB = 7. This means that you subtract 7 from 2 (involving only the y coordinates), resulting in (-12, -5). For coordinate C, it has to be 21 units from B since BC = AD = 21. Because C is right compared to B, you have to add 21 to -12 (involving only the x coordinate) resulting in (9, -5).
