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Nina [5.8K]
3 years ago
8

Fill the table using this function rule.

Mathematics
1 answer:
ElenaW [278]3 years ago
7 0
Y=29-2(1)
y=29-2=27
(1,27)
y=29-2(3)
y=29-6=23
(3,23)
y=29-2(4)
y=29-8=21
(4,21)
y=29-2(5)
y=29-10=19
(5,19)
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A plane takes off from an airport and flies at a speed of 400km/h on a course of 120° for 2 hours. the plane then changes its co
butalik [34]

Answer:

Distance from the airport = 894.43 km

Step-by-step explanation:

Displacement and Velocity

The velocity of an object assumed as constant in time can be computed as

\displaystyle \vec{v}=\frac{\vec{x}}{t}

Where \vec x is the displacement. Both the velocity and displacement are vectors. The displacement can be computed from the above relation as

\displaystyle \vec{x}=\vec{v}.t

The plane goes at 400 Km/h on a course of 120° for 2 hours. We can compute the components of the velocity as

\displaystyle \vec{v_1}=

\displaystyle \vec{v_1}=\ km/h

The displacement of the plane in 2 hours is

\displaystyle \vec{x_1}=\vec{v_1}.t_1=.(2)

\displaystyle \vec{x_1}=km

Now the plane keeps the same speed but now its course is 210° for 1 hour. The components of the velocity are

\displaystyle \vec{v_2}=

\displaystyle \vec{v_2}=km/h

The displacement in 1 hour is

\displaystyle \vec{x_2}=\vec{v_2}.t_2=.(1)

\displaystyle \vec{x_2}=km

The total displacement is the vector sum of both

\displaystyle \vec{x_t}=\vec{x_1}+\vec{x_2}=+

\displaystyle \vec{x_t}=km

\displaystyle \vec{x_t}=

The distance from the airport is the module of the displacement:

\displaystyle |\vec{x_t}|=\sqrt{(-746.41)^2+492.82^2}

\displaystyle |\vec{x_t}|=894.43\ km

8 0
4 years ago
Write an algebraic expression for the statement.The income earned at $ 10.91 per hour for w hours....
Alja [10]
This is a "rate of pay" problem.  The amount earned is equal to the (rate of pay) times the (number of hours worked).  

Let the income be represented by "i".  Then the formula is i = ($10.91/hour)*w, where w is the number of hours worked and has the unit of measurement "hours."
5 0
3 years ago
PLEASE HELPPP
tensa zangetsu [6.8K]

Answer:

(a) AH < HC is No

(b) AH < AC is Yes

(c) △AHC ≅ △AHB is Yes

Step-by-step explanation:

Given

See attachment for triangle

Solving (a): AH < HC

Line AH divides the triangle into two equal right-angled triangles which are: ABH and ACH (both right-angled at H).

To get the lengths of AH and HC, we need to first determine the measure of angles HAC and ACH. The largest of those angles will determine the longest of AH and HC. Since the measure of the angles are unknown, then we can not say for sure that AH < HC because the possible relationship between both lines are: AH < HC, AH = HC and AH > HC

Hence: AH < HC is No

Solving (b): AH < AC

Length AC represents the hypotenuse of triangle ACH, hence it is the longest length of ACH.

This means that:

AH < AC is Yes

Solving (c): △AHC ≅ △AHB

This has been addresed in (a);

Hence:

△AHC ≅ △AHB is Yes

8 0
3 years ago
A six-sided die with sides labeled 1 through 6 will be rolled once. Each number is equally likely to be rolled.
ivanzaharov [21]

Answer:

2/3

Step-by-step explanation:

The numbers greater then 2 are 3, 4, 5, 6

That's four numbers that are greater then two.

or 4/6, then you just reduce it by dividing by two on the top and bottom

4/2 =2

6/2 = 3                            so the answer is 2/3

4 0
3 years ago
Whats 8 divided by 2 1/2
Marta_Voda [28]

Answer:

3.2

Step-by-step explanation:

8 0
3 years ago
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