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Ivahew [28]
2 years ago
15

Hadassa is hiking at a rate of 5 miles per hour. At this rate, how long will it take her to hike 32.5 miles? I NEED HELP PLEASE

Mathematics
1 answer:
uranmaximum [27]2 years ago
8 0

Answer:

6.5 hours

Step-by-step explanation:

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Step-by-step explanation:

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An observer (O) spots a plane (P) taking off from a local airport and flying at a 33° angle horizontal to her line of sight and
docker41 [41]

Answer:

the distance of the Bird (B) from the plane (P)  is = 10779  ft

Step-by-step explanation:

From the given information:

a diagrammatic representation is attached below for better understanding and solution to the question.

From the diagram;

Let the Bird (B) be represent as A

The plane (P) be represented by B

The observer be represented by O

and the tower T be represented by C

we will see that:

\overline {AB}  \ \| \ \overline {OC}

Also;

\angle ABO = \angle BOC = 33^0

AO = BC = 7000

Let consider the trigonometry of  triangle BAO

tan θ = opposite/adjacent

tan 33° = 7000/x

0.6494 = 7000/x

x = 7000/0.6494

x = 10779.18

x = 10779  ft    ( to the nearest whole number)

Thus; the distance of the Bird (B) from the plane (P)  is = 10779  ft

7 0
3 years ago
Find the area of this trapezoid. Include the correct unit in your answer.
NemiM [27]

Answer:

\displaystyle A _{ \text{trapezoid}} =  70 {m}^{2}

Step-by-step explanation:

we are given a trapezoid

we want to figure out the area

remember that,

\displaystyle A _{ \text{trapezoid}} =  \frac{a + b}{2} h

where a and b represent the parallel lines and h represents the height

we get from the pic that a and b are 5 and 15 respectively and h is 7

so substitute:

\displaystyle A _{ \text{trapezoid}} =  \frac{5 + 15}{2} \times  7

simplify addition:

\displaystyle A _{ \text{trapezoid}} =  \frac{20}{2} \times  7

simplify division:

\displaystyle A _{ \text{trapezoid}} =  10\times  7

simplify multiplication:

\displaystyle A _{ \text{trapezoid}} =  70

since we multiply two same units we of course have to use square unit

hence,

\displaystyle A _{ \text{trapezoid}} =  70 {m}^{2}

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2 years ago
If f(x) = g(x+1) and g(x) = x^2, find the value of f(3).
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\bf \begin{cases} f(x)=&g(x+1)\\ f(3)=&g(3+1)\\ &g(4)\\[-0.5em] \hrulefill& \hrulefill\\ g(x)=&x^2\\ g(4)=&4^2\\ &16 \end{cases}\qquad \qquad f(3)\implies g(4)\implies 16

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