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3 years ago

How is this solved? Must be 20 characters so ignore this.

Mathematics

1 answer:

11Alexandr11 [23.1K]3 years ago

6 0

First, you need to do the operation in the parentheses. Which is 4. So replace the 2+2 with 4. 8/2(4). Then divide 8 by 2 which equals 4. Then multiply 4(4) which equals 16.

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HELP

Ket [755]

Given the radius of 50 miles and the line joining the cities at (0, 56) and (58, 0), the transmitter signal can be picked during 59.24 miles of the drive.

<h3>How can the duration of signal reception be found?</h3>

Radius of broadcast of the transmitter = 50 miles

Location of starting point = 56 miles north of the transmitter

Location of destination city = 58 miles east of the transmitter

Therefore we have;

Slope of the line joining the two cities

= 56 ÷ (-58) = -0.966

Which gives the equation of the line as follows;

y = -0.966•x + 56

The equation of the circle is;

${x}^{2} + {y}^{2} = {50}^{2}$

${x}^{2} + { ( - 0.966x + 56)}^{2} = {50}^{2}$

1.933156•x^2 - 108.192•x + 636 = 0

Which gives;

x = 6.67 or x = 49.29

Therefore;

When x = 6.67, we have;

y = -0.966 × 6.67 + 56 = 49.56

When x = 49.29, we have;

y = -0.966 × 49.29 + 56 = 8.4

The length of the drive, during which the driver can pick the signal, l, is therefore;

l = √((49.56-8.4)^2 + (49.29-6.67)^2) = 59.24 miles

The length of the drive during which the signal is received is 59.24 miles

Learn more about the equation of a circle here:

brainly.com/question/502872

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5 0

2 years ago

Nya wants to buy a sweater that had an original price of $50. The sweater is now discounted 15% and the sales tax rate is 6%. Ho

Xelga [282]

Answer:

$45.05

Step-by-step explanation:

Sale price of sweater is (1.00 - 0.15)($50), or 0.85($50) = $42.50. Nya has to pay 6% sales tax on this $42.50. Thus, the final amount due is

(1.00 + 0.06)($2.50) = $45.05

6 0

3 years ago

Read 2 more answers

The 10 students who completed a special flying course are waiting to see if they will be awarded the one Distinction or the one

yaroslaw [1]

Answer: 1)100ways and 2)90ways

Step-by-step explanation:

Given :-The 10 students who completed a special flying course are waiting to see if they will be awarded the one Distinction or the one Merit award for their efforts.

Ways can the two awards be given if the same student can receive both awards (i.e repetition is allowed)

=10×10=100ways

Ways can the two awards be given if the same student cannot receive both awards(i.e. repetition is not allowed)

=10×9=90ways

3 0

3 years ago

Simon has a certain length of fencing to enclose a rectangular area. The function AAA models the rectangle's area (in square met

pav-90 [236]

Answer:

When there is no width, the area is 0m²

Step-by-step explanation:

Expressing the area of a rectangle as a function of its width:

Area of a rectangle = Length * width

Since the area of rectangle is related to the width by the multiplication operatkr. We can conclude from the options given that ; if the value of width = 0 ; the the area of rectangular plot = 0

When x :

Area = Length * width

Area = Length * 0

Area = 0

Area = Length * 0

Aea = 0

4 0

3 years ago

Which of the following points does Not lie on the graph of y =3x

nalin [4]

Answer:

(2,6)