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Leto [7]
3 years ago
5

Write the standard form of the equation of the line passing through the point (-4,1) and perpendicular to the line

Mathematics
1 answer:
notka56 [123]3 years ago
5 0

Answer:

all work is shown/pictured

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Julia completes her homework in an hour. She spends 7/12 of the time doing her math homework and 1/6 of the time practicing her
dsp73

Answer:

15 min

Step-by-step explanation:

Julia spends \frac{7}{12} in math.

and spends \frac{1}{6} in spelling.

Lets make \frac{1}{6}*2=\frac{2}{12} for calculation propuses.

Julia spends \frac{7}{12} +\frac{2}{6}=\frac{9}{12} doing her math and spelling homework.

And lets make 1 hour =\frac{12}{12}

\frac{12}{12}-\frac{9}{12} =\frac{3}{12} and \frac{3}{12} / 3 =\frac{1}{4}

So, Julia spends \frac{1}{4}  hour in reading.

If I divide an hour into 4 equal units, each unit equals 15 min, so 1 unit is 15 min.

Julia spends 15 min in reading.

4 0
3 years ago
A kite with a string 80 feet long makes an angle of elevation of 40° with the ground, assuming the string is straight, how high
defon
The diagram of the kite is shown below

To find the perpendicular height of the kite from the ground, we use the trigonometry ratio for sin(x).

The reason for using the sine ratio is because we have the hypotenuse, 80 feet, and the angle, 40° and we are looking for the length of the side opposite the angle.

sin(x)= \frac{opp}{hyp}
sin(40)= \frac{x}{80}
80sin(40)=x
x=51.42 rounded to two decimal place

Perpendicular height of the kite from the ground is 51.42 feet

3 0
3 years ago
What is the value of d to the nearest tenth?
irina1246 [14]

Answer: First option is correct.

Step-by-step explanation:

Since we have given that

PA = 22

PB = 22+40=62

PC = 26

PD = 26+d

As we know the rule of tangents :

PA.PB=PC.PD

22\times 62=26(26+d)\\\\1364=676+26d\\\\1364-676=26d\\\\688=26d\\\\\dfrac{688}{26}=d\\\\d=26.46\\\\d=26.5

Hence, First option is correct.

7 0
3 years ago
Read 2 more answers
Lashonda wants to buy a new boat but needs money for the down payment. Her parents agree to lend her money at an annual rate of
amm1812

Answer: $6, 720

Step-by-step explanation:

Formular for simple interest =P×R×T

where;

P= 6000

R= 3% = 0.03

T= 4 years

$6000 × 0.03 × 4

= $720

The total amount to be paid back at the end of time will be

$6,000 + $720

=$6, 720

I hope this helps

8 0
3 years ago
A 5-pound bag of cat food costs $11.25. What is the unit price of the cat food?
Luda [366]
B. $2.25 you just divide
3 0
3 years ago
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