1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Anuta_ua [19.1K]
3 years ago
6

Convert to rectangular coordinates. use exact values. 7 sqrt 2, 135 degrees

Mathematics
1 answer:
Free_Kalibri [48]3 years ago
7 0
Tan 135 = -1

so rectangular coordinates are (-7 sqrt2, 7 sqrt2)
You might be interested in
The average summer temperature in Anchorage is 69°F. If the daily temperature is normally distributed with a standard deviation
mafiozo [28]

Answer:

81.85%

Step-by-step explanation:

Given :

The average summer temperature in Anchorage is 69°F.

The daily temperature is normally distributed with a standard deviation of 7°F .

To Find:What percentage of the time would the temperature be between 55°F and 76°F?

Solution:

Mean = \mu = 69

Standard deviation = \sigma = 7

Formula : z=\frac{x-\mu}{\sigma}

Now At x = 55

z=\frac{55-69}{7}

z=-2

At x = 76

z=\frac{76-69}{7}

z=1

Now to find P(55<z<76)

P(2<z<-1)=P(z<2)-P(z>-1)

Using z table :

P(2<z<-1)=P(z<2)-P(z>-1)=0.9772-0.1587=0.8185

Now percentage of the time would the temperature be between 55°F and 76°F = 0.8185 \times 100 = 81.85\%

Hence If the daily temperature is normally distributed with a standard deviation of 7°F, 81.85% of the time would the temperature be between 55°F and 76°F.

7 0
3 years ago
When 2(3/5 x + 2/3 y - 1/4 x -1 1/2 y + 3 )is simplified, what is the resulting expression?
vovangra [49]

Answer:

Simplifying  the expression: 2(\frac{3}{5}x+\frac{2}{3}y-\frac{1}{4}x-1\frac{1}{2}y +3) we get \mathbf{42x-100y-360}

Step-by-step explanation:

We need to simplify the expression: 2(\frac{3}{5}x+\frac{2}{3}y-\frac{1}{4}x-1\frac{1}{2}y +3)

First we will solve terms inside the bracket

2(\frac{3}{5}x+\frac{2}{3}y-\frac{1}{4}x-1\frac{1}{2}y +3)

Converting mixed fraction 1\frac{1}{2} y into improper fraction, we get: \frac{3}{2}y

Replacing the term:

2(\frac{3}{5}x+\frac{2}{3}y-\frac{1}{4}x-\frac{3}{2}y +3)

Now, taking LCM of: 5,3,4,2 we get 60

Now multiply 60 with each term inside the bracket

2(\frac{3}{5}x\times60+\frac{2}{3}y\times60-\frac{1}{4}x\times60-\frac{3}{2}y\times60 +3\times60)\\2(3x\times12+2y\times20-1x\times15-3x\times30-3\times60)\\2(36x+40y-15x-90y-180)

Now, combine like terms

2(36x-15x-90y+40y-180)\\2(21x-50y-180)

Now, multiply all terms with 2

42x-100y-360

So, Simplifying  the expression: 2(\frac{3}{5}x+\frac{2}{3}y-\frac{1}{4}x-1\frac{1}{2}y +3) we get \mathbf{42x-100y-360}

3 0
3 years ago
What is the diameter of a sphere with a volume of 72 in”, to the nearest tenth of an<br> inch?
GREYUIT [131]

We know that,

Volume of sphere = 4/3πr³

72 = 4/3 × 22/7 × r³

72 × 21/88 = r³

³√17.18 = r

2.58 cm = r

:)

3 0
2 years ago
Write the equation of the line that has a slope of -2 and goes through the point (-3,4).
liubo4ka [24]

<u>SOLUTION:</u>

General Equation: y = mx + b

.

Substitute slope = -2 into the equation:

y = -2x + b

.

Find the y-intercept:

4 = -2(-3) + b

4 = 6 + b

b = -2

.

Substitute b = -2 into the equation:

y = -2x - 2

.

Answer: y = -2x - 2

4 0
3 years ago
Read 2 more answers
Josh sold his bike for 10% less than he paid for it. IF he sold the bike for 585 how much did he pay for it?
tangare [24]

Answer:

To know how much he bought it for, let's consider the actual amount it be x.

Step-by-step explanation:

10% of x + $585 = x

x/10 + $585 = x

$585 = x-x/10

$585= 9x/10

9x=$5850

x=$5850/9

x=$650

.: the actual price was $650.

7 0
3 years ago
Other questions:
  • A train travels from city a to city b and then to city
    13·1 answer
  • RSM was founded in 1996. From 1996 to 1997, the number of students in RSM doubled. From 1997 to 1998 the number of students doub
    10·2 answers
  • Calculate the speed in km/hour of a car that travels 24 km in 120 minutes
    7·2 answers
  • Uh, uh, uh, uh
    7·2 answers
  • 15. The rectangular room is given by the trinomial x^2+4x-12. What are the possible dimensions of the rectangle? Use factoring.
    5·1 answer
  • In ΔTUV, the measure of ∠V=90°, TU = 5.4 feet, and VT = 1.6 feet. Find the measure of ∠T to the nearest degree.
    6·2 answers
  • Question in the picture! Answer ASAPP!! Will give brainliest!
    5·1 answer
  • PLEASE HELP WITH GEOMETRY!! WILL GIVE BRAIN!!!
    6·2 answers
  • Which of the following is an algebraic expression that represents the phrase X increased by 20
    10·1 answer
  • You are trying to decide whether to use Uber or Lyft during a vacation. Uber charges $3 to pick up plus an additional $0.25 for
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!