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Ede4ka [16]
3 years ago
12

If θ is an angle in standard position and its terminal side passes through the point (21,-20), find the exact value of \cot\thet

acotθ in simplest radical form.
Mathematics
1 answer:
STatiana [176]3 years ago
3 0
Buying the president of the state national national
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a teacher has three packages of crayons. one package contains 52 crayons, another contains 12 crayons, and the third package con
kotegsom [21]

Answer: 7 crayons

Step-by-step explanation:

To solve we first must find the total number of crayons available by adding up how many crayons are in each container.

         56+12+96 = 160 crayons total

Next we take this number and divide it by 22 (the number of students in the class) to determine how many crayon each student gets

         160 crayons/22 students = 7.272727 crayons per student

However, it's important to note that this number is not a whole number. We must then round down to the nearest whole number because students aren't given fractions of crayons.

         7.272727 ==> 7 crayons per student

5 0
2 years ago
The difference 2/5(d−10)−2/3(d+6) is
spin [16.1K]

Let's simplify step-by-step.

2/5(d−10)−2/3(d+6)

Distribute:

= (2/5)(d)+(2/5)(−10)+ −2/3d+ −4

= 2/5d+−4+ −2/3d+ −4

Combine Like Terms:

= 2/5d+−4+ −2/3d+ −4

= −4/15d+−8

And your answer is...

= −4/15d+−8

plz mark me as brainliest if this helped :)

6 0
4 years ago
Read 2 more answers
Which equation represents the relationship shown in the table?
Mila [183]
Y=4x because 20/5 equals 4
5 0
3 years ago
Read 2 more answers
The measure of the​ angle's supplement is 60
Sever21 [200]

Answer:

80°

Step-by-step explanation:

Let the angle be x then four times it's complement plus 60, that is

4(90 - x) + 60 ← is it's supplement

Supplementary angles sum to 180°

Sum the angle and it's supplement and equate to 180

x + 4(90 - x) + 60 = 180 ← distribute and simplify left side

x + 360 - 4x + 60 = 180

- 3x + 420 = 180 ( subtract 420 from both sides )

- 3x = - 240 ( divide both sides by - 3 )

x = 80

The required angle = x = 80°

supplement = 4(90 - 80) + 60 = 4 × 10 + 60 = 40 + 60 = 100°

4 0
3 years ago
Mary is spending money at the average rate of $5 per day. After 14 days she has $68 left. The amount left depends on the number
Radda [10]

Answer:

A. Y-68=-5(x-14)

Step-by-step explanation:

Mary is spending money at the average rate of $5 per day. After 14 days she has $68 left. The amount left depends on the number of days that have passed. write an equation for the situation

We find the equation using the point slope equation of a line. This is given as:

y - y1 = m(x-x1)

The slope intercept form will be

y = -5x + b

since the amount decreases by $5 per day...

Our slope is -5 so m=-5

We have a point (x1,y1) = (14, 68)

Hence, we have:

y-68 = -5(x-14)

Option A is correct

4 0
3 years ago
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