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Irina-Kira [14]
3 years ago
7

While taking a ride in a hot air balloon in Napa Valley, Francisco wonders how high he is.

Mathematics
1 answer:
laiz [17]3 years ago
8 0
<span>let landmark be at L 
ZN = 100, NL = x (say) 
tan 54 = (100+x)/H 
100 + x = H tan 54 -------------- (1) 
------------------------------ 
tan 61 = H/x ................ [alternate angle] 
x = H cot 61 ------------------------- (2) 
put x from (2) into (1) 
H cot 61 + 100 = H tan 54 
H = 100 / [tan 54 -cot 61] 
H = 100 / [1.376 - 0.554] 
H = 121.65 feet</span><span>
</span>
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When given a function in standard form,how can you determine if the parabola has aminimum or maximum value
andrezito [222]

Answer:

It can be determined if a quadratic function given in standard form has a minimum or maximum value from the sign of the coefficient "a" of the function. A positive value of "a" indicates the presence of a minimum point while a negative value of "a" indicates the presence of a maximum point

Step-by-step explanation:

The function that describes a parabola is a quadratic function

The standard form of a quadratic function is given as follows;

f(x) = a·(x - h)² + k, where "a" ≠ 0

When the value of part of the function a·x² after expansion is responsible for the curved shape of the function and the sign of the constant "a", determines weather the the curve opens up or is "u-shaped" or opens down or is "n-shaped"

When "a" is negative, the parabola downwards, thereby having a n-shape and therefore it has a maximum point (maximum value of the y-coordinate) at the top of the curve

When "a" is positive, the parabola opens upwards having a "u-shape" and therefore, has a minimum point (minimum value of the y-coordinate) at the top of the curve.

3 0
3 years ago
The temperature was -4.f this morning. if the temperature dropped 7.f, what is the temperature now
DedPeter [7]

Answer:

The temperature now is - 11.f

Step-by-step explanation:

If it was - 4.f and now it is 7.f colder, so then all we have to do is subtract 7.f from -4.f and get...

-4.f - 7f. = - 11.f

Therefore the current temperature is - 11.f

8 0
3 years ago
Read 2 more answers
Can somebody please help me. I have to classify if the graph or equation is quadratic or not quadratic
pshichka [43]
1,4,5,7 is quadratic and 2,3,6,8 is not a quadratic function. Check this out mate!
5 0
3 years ago
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Sam is making a case for his calculator. It is a rectangular prism that will be 5.5 inches long by 2 inch wide by 5 inches high.
White raven [17]

Answer:

97in³

Step-by-step explanation:

L = 5.5, W = 2, H = 5

2(h × W) + 2(h × L) + 2(W × L)

= 2(5*2) + 2(5*5.5) + 2(2*5.5)

= 2(10) + 2(27.5) + 2(11)

= 20 + 55 + 22

= 97in³

8 0
3 years ago
1. The scale of a map is 1:1000. What are the actual dimensions of a
kakasveta [241]

Answer:

Step-by-step explanation:

4 cm × 1000 = 4000 cm = 40 meters

3 cm × 1000 = 3000 cm = 30 meters

A 4 cm by 3 cm  section on the map represents 40 m by 30 m.

area = 40 m × 30 m = 1200 m²

6 0
3 years ago
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