Answer:
<em><u>4</u></em><em><u> </u></em>
Step-by-step explanation:
1) Simplify 2⁴ to 16.
2) Simplify.
<em><u>Therefor</u></em><em><u>,</u></em><em><u> </u></em><em><u>the</u></em><em><u> </u></em><em><u>answer</u></em><em><u> </u></em><em><u>is</u></em><em><u> </u></em><em><u>4</u></em><em><u>.</u></em>
Answer:
Step-by-step explanation:
The distance between a point (x,y) and the point (-3,4) is
d1= .
The distance between a point (x,y) and the point (0,0) is
d2= .
You know what y is from the equation of the line, so substitute that, set d1=d2, and solve for x.
Answer:
Step-by-step explanation:
Given that,
The base of the parallelogram, b = 2.5 cm
Height of the parallelogram, h = 1.25 cm
We need to find the area of the logo. The formula for the area of the parallelogram is given by :
So, the area of the logo is .
Answer:
The cost per adult is $16.
Step-by-step explanation:
Given that:
Total number of children = 20+22 = 42 children
Total number of adults = 2 + 5 = 7 adults
Total cost for both groups = $490
Cost per child = $9.00
Cost of children ticket = 9.00*42 = $378
Cost of adult tickets = 490-378 = $112
This is the cost for 7 adult tickets.
Cost per ticket = = $16
Hence,
The cost per adult is $16.
Answer:
464 feet
Step-by-step explanation:
<em>The Sine of the angle of inclination gives the increase in altitude.</em>
<em>This is because the Sine of an angle is equal to the Opposite side divided by the Hypotenuse side. i.e</em>
Sin Ф = Opposite ÷ Hypotenuse
Sin 5° = O ÷ 5328
0·08716 = O ÷ 5328
<em>Make </em>O<em> the subject and multiply every fraction by </em>5328
(0·08716/1 × 5328)= (O/5328 × 5328)
464·388 = O
∴ The increase in altitude is 464·388 feet
<em>This is supposed to be to the nearest foot so we round off</em>
464·388 becomes 464 feet
