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liq [111]
3 years ago
9

About how much farther is it to drive than to walk directly from building A to building B? Round to the nearest whole number.

Mathematics
1 answer:
Sav [38]3 years ago
8 0

Answer:

A. 183 meters

Step-by-step explanation:

Building A and building B are 500 meters apart. There is no road between them, so to drive from building A to building B, it is necessary to first drive to building C and then to building B. About how much farther is it to drive than to walk directly from building A to building B? Round to the nearest whole number. A) 183 meters B) 250 meters C) 366 meters D) 683 meters

Find distance BC

Cos (60°)=BC / AB (Adjacent divided by the hypotenuse)

Cos (60°)=1/2

BC=a

AB=500

Cos (60°)=BC / AB

1/2=a/500

1/2 * 500=a

250=a

a=250m

Find distance AC

Sin(60°)=AC/AB (opposite side divided by hypotenuse)

Sin(60°)=√3/2

AC=b

AB=500

Sin(60°)=AC/AB

√3/2=b/500

√3/2 * 500=b

250√3=b

b=433m

Distance AC and BC=AC+BC

433m+250m=683m

Subtract the distance AB from AC+BC

= 683m - 500m

=183m

Answer is A. 183 meters

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Answer:

x=7

Step-by-step explanation:

6 0
2 years ago
Find the X intercept and the Y intercept from the following linear equation X+ 4y = -56
stealth61 [152]

Answer:

x-intercept = -56

y-intercept = - 14

Step-by-step explanation:

x + 4y = -56

x- intercept :

y = 0

x + 4*0 = - 56

x-intercept = -56

y-intercept:

x=0

0 + 4y = - 56

4y = -56

y = - 14

y-intercept = - 14

4 0
2 years ago
If the graph of f(x) = x is shifted up 9 units, what would be the equation of the new graph?
goblinko [34]

Answer:

x+9

Step-by-step explanation:

f(x) = x, going up 9

that is y=x, going up 9

if you wnat to go up, subtract 9 from y

y -9 = x

y=x+9

convert back to f(x)

f(x) = x+9

5 0
3 years ago
Mariana plans to visit an amusement park where she must pay for admission and purchase tickets to go on the rides. Mariana wants
Ivanshal [37]

Answer: The number 12 represents admission charge in Mariana's equation.

Step-by-step explanation:

As per given ,

Total cost = ( Charge per ticket) (Number of tickets) +  (Admission fees)  (i)

For x = Number of tickets, the total cost (c) for a day at the amusement park is given as

c = 1.50x + 12                                       (ii)

Here, 12 = Admission fees                 [Comparing (i) and (ii)]

Hence, the number 12 represents admission charge in Mariana's equation.

3 0
3 years ago
(HELP ASAP) Kite EFGH is inscribed in a rectangle where F and H are midpoints of parallel sides.
Reika [66]
Let's say that FH and EG intersection is O,
So we have the following:
OF = 2
OH = 5

Just because F and H are midpoints it means that EO = OG = x
And as it's given the area S=35

On the other hand
S = OF*OG/2 + OG*OH/2 + OH*OE/2 + OE*OF/2 = 2*x/2 + x*5/2 + 5*x/2 + x*2/2 = 2*x + 5*x = 7*x = 35

7x = 35 so x = 35/7 = 5

Answer: 5 units

7 0
3 years ago
Read 2 more answers
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