Could you please help me with the two post recent questions of mine on my page? I will give u brainliest and 20 points! :))) X
i f N(-7,-1) is a point on the terminal side of ∅ in standard form, find the exact values of the trigonometric functions of ∅.
Answer:
[tex]sin\ \varnothing = \frac{-1}{10}\sqrt 2[/tex]
[tex]cos\ \varnothing = \frac{-7}{10}\sqrt 2[/tex]
[tex]tan\ \varnothing = \frac{1}{7}[/tex]
[tex]cot\ \varnothing = 7[/tex]
[tex]sec\ \varnothing = \frac{-5}{7}\sqrt 2[/tex]
[tex]csc\ \varnothing = -5\sqrt 2[/tex]
Step-by-step explanation:
Given
[tex]N = (-7,-1)[/tex] --- terminal side of [tex]\varnothing[/tex]
Required
Determine the values of trigonometric functions of [tex]\varnothing[/tex].
For [tex]\varnothing[/tex], the trigonometry ratios are:
[tex]sin\ \varnothing = \frac{y}{r}[/tex] [tex]cos\ \varnothing = \frac{x}{r}[/tex] [tex]tan\ \varnothing = \frac{y}{x}[/tex]
[tex]cot\ \varnothing = \frac{x}{y}[/tex] [tex]sec\ \varnothing = \frac{r}{x}[/tex] [tex]csc\ \varnothing = \frac{r}{y}[/tex]
Where:
[tex]r^2 = x^2 + y^2[/tex]
[tex]r = \sqrt{x^2 + y^2[/tex]
In [tex]N = (-7,-1)[/tex]
[tex]x = -7[/tex] and [tex]y = -1[/tex]
So:
[tex]r = \sqrt{(-7)^2 + (-1)^2[/tex]
[tex]r = \sqrt{50[/tex]
[tex]r = \sqrt{25 * 2[/tex]
[tex]r = \sqrt{25} * \sqrt 2[/tex]
[tex]r = 5 * \sqrt 2[/tex]
[tex]r = 5 \sqrt 2[/tex]
Solving the trigonometry functions
[tex]sin\ \varnothing = \frac{y}{r}[/tex]
[tex]sin\ \varnothing = \frac{-1}{5\sqrt 2}[/tex]
Rationalize:
[tex]sin\ \varnothing = \frac{-1}{5\sqrt 2} * \frac{\sqrt 2}{\sqrt 2}[/tex]
[tex]sin\ \varnothing = \frac{-\sqrt 2}{5*2}[/tex]
[tex]sin\ \varnothing = \frac{-\sqrt 2}{10}[/tex]
[tex]sin\ \varnothing = \frac{-1}{10}\sqrt 2[/tex]
[tex]cos\ \varnothing = \frac{x}{r}[/tex]
[tex]cos\ \varnothing = \frac{-7}{5\sqrt 2}[/tex]
Rationalize
[tex]cos\ \varnothing = \frac{-7}{5\sqrt 2} * \frac{\sqrt 2}{\sqrt 2}[/tex]
[tex]cos\ \varnothing = \frac{-7*\sqrt 2}{5*2}[/tex]
[tex]cos\ \varnothing = \frac{-7\sqrt 2}{10}[/tex]
[tex]cos\ \varnothing = \frac{-7}{10}\sqrt 2[/tex]
[tex]tan\ \varnothing = \frac{y}{x}[/tex]
[tex]tan\ \varnothing = \frac{-1}{-7}[/tex]
[tex]tan\ \varnothing = \frac{1}{7}[/tex]
[tex]cot\ \varnothing = \frac{x}{y}[/tex]
[tex]cot\ \varnothing = \frac{-7}{-1}[/tex]
[tex]cot\ \varnothing = 7[/tex]
[tex]sec\ \varnothing = \frac{r}{x}[/tex]
[tex]sec\ \varnothing = \frac{5\sqrt 2}{-7}[/tex]
[tex]sec\ \varnothing = \frac{-5}{7}\sqrt 2[/tex]
[tex]csc\ \varnothing = \frac{r}{y}[/tex]
[tex]csc\ \varnothing = \frac{5\sqrt 2}{-1}[/tex]
[tex]csc\ \varnothing = -5\sqrt 2[/tex]
find the area of the semicircle (1/2 circle with a diameter of 10)
Answer:
39.25 unit²
Step-by-step explanation:
Radius of circle = diameter/2 = 10/2 = 5
Area of a circle = πr²
Area of ½ circle = ½ πr² = ½ x (22/7) x 5²
Area = 39.25 unit^2
6. ऊँचाई 1 m वाले एक बेलनाकार बर्तन की धारिता 15.4 लीटर है। इसको बनाने के लिए
कितने वर्ग मीटर धातु की शीट की आवश्यकता होगी?
फा
A cylindrical vessel of height 1 m is 15.4 liters. To make it
How many square meters of metal sheet will be required?
I dont k, but I was translating for others who do know!
what is the relative frequency as a percent to the nearest tenths of males and females who ride their bike to school when compared to the total population?
Answer:
100 percent - 18 percent
Step-by-step explanation:
answer will come
I need help on both
What is meant by the order of operations?
Answer:
Step-by-step explanation: The order of operations is a rule that tells the correct sequence of steps for evaluating a math expression. We can remember the order using PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).
In ΔFGH, the measure of ∠H=90°, the measure of ∠G=52°, and GH = 5.7 feet. Find the length of FG to the nearest tenth of a foot.
Answer:
FG = 9.3 feet
Step-by-step explanation:
cos 52° = 5.7/FG
0.6157 = 5.7/FG
FG = 9.26 feet
response will be saved automatically.
Three students performed a science experiment using sugar and a beaker.
The beaker contained 570.3 grams of sugar before the experiment
started. During the experiment, each of the 3 students removed 42.34
grams of sugar from the beaker.
How much sugar, in grams, was left in the beaker at the end of the
experiment?
Show your work.
Answer
grams
B
T>
x
Answer:
443.28
Step-by-step explanation:
Subtract 42.24 from 570.3 three times.
What is the solution to this system of equations?
10
8
6
2
y = x +4
y = -0.5x + 7
-2
2
4
6
A. (3, 1)
B. (2,6)
C. (1,3)
O
D. (6,2)
Answer:
option B is correct
Step-by-step explanation:
Hope it helps you
Find the circumference and the area of a circle with diameter 9cm. Use the value 3.14 for pie and do not round your answer. Be sure to include the correct units in your answer
Answer:
Circumference = 28.26
Area = 63.585 cm²
Step-by-step explanation:
Formula for Circumference:
C = 2 × π × r
C = Circumference
r = radius
Radius = Diameter ÷ 2
9 ÷ 2 = 4.5
C = 2(3.14)(4.5)
C = 28.26
Formula for Area:
A = π × r²
9 ÷ 2 = 4.5
4.5 is the radius.
A = (3.14)(4.5)²
Simplify:
(3.14)(20.25)
= 63.585 cm²
Find the volume of the cone-
Answer:
12.6ft³
Step-by-step explanation:
Hey There!
So the first thing we need to do is find the formula for volume of a cone
[tex]V=\pi r^{2} \frac{h}{3}[/tex]
r = radius
h = hypotenuse
Now all we have to do is plug in the hypotenuse and the radius
[tex]V=\pi 2^{2} \frac{3}{3}[/tex]
2²=4
[tex]\frac{3}{3} =1[/tex]
4xπ=12.5663706144
And now we just round to the nearest tenth
so we can conclude that the volume of the cone is 12.6ft³
An artist sold 10 paintings. Her first two sold for $50 and $350. She sold three at a gallery show for $250, $400 and $1,200. She sold her oil paintings on line for $410, $400 and $375. Family members bought two, one for $200 and another for $280. What is the IQR of the selling price of her paintings?
Answer:
250-400
Step-by-step explanation:
Answer:
150Step-by-step explanation:
There are 10 numbers representing the selling prices of paintings.
List the numbers in the ascending order:
50, 200, 250, 280, 350, 375, 400, 400, 410, 1200Median of the lower half is:
50, 200, 250, 280, 350 ⇒ Q1 = 250Median of the upper half is:
375, 400, 400, 410, 1200 ⇒ Q3 = 400The IQR is the difference between the upper and lower medians:
IQR = Q3 - Q1 = 400 - 250 = 150The circumference of a circle is 147 feet.
Find the area of the circle, in terms of pi.
Answer:
Step-by-step explanation:
C = 147 ft. The relevant formula is C = 2(pi)r, and here C = 147 ft = 2(pi)r.
The relevant area formula is A = (pi)r^2. If we solve the above formula for r we get
147 ft
r = ------------ and so r^2 (needed to calculate the area) is
2pi
147^2 ft^2
r^2 = ------------------
4(pi)
147^2 ft^2
and so the area is A = ---------------- = 7203/pi
3 pi
C C^2
Alternative method: C = 2pi*r so r = -------------- and r^2 = -------------
2 pi 4pi^2
C^2 C^2
then the area of the circle is A = pi(r^2) or pi*-------------- = ---------------
4pi^2 4pi
(147 ft)^2
and in this case the area of the circle is A = --------------
4 pi
or A = 1720 ft^2
8.3 is equal to -----------hundredths
Answer:
830
Step-by-step explanation:
Answer: it would be 83 hundredths
Step-by-step explanation:
8.3x10 = 83
You go to the store and notice the people standing in line. 7 adults and 4 children. If this ratio stays the same and there 55 people in the store, how many would be children?
Answer:
20 kids
Step-by-step explanation:
so that totals to 11 (parents and kids)
55/11=5
4x5=20
20 kids
Help I beg please show work
A 3
B 94
C 1
D 47
Answer:
Step-by-step explanation:
15x+2=9x+20
6x=18
x=3
if it's asking for the angle measure, you will just do:
15*3+2=47
A quartic polynomial P(x) has rational coefficients. If 2 − i and-√5 are roots of P(x) = 0, what are the other 2 roots?
Answer:
2 + i and + √5
Step-by-step explanation:
Since P(x) is a quartic equation, it has 4 roots.
Since 2 - i and -√5 are two of its roots, then its conjugate pairs of 2 + i and + √5 are its other two roots.
So, its other two roots are 2 + i and + √5
A house shaped like an octagon has a large porch, as shown. What is the area of the house
and the porch?
5 feet
5 feet:
5 feet
5 feet
House
10 feet
15 feet
Porch
30 feet
Explanation is in the file
tinyurl.com/wpazsebu
2) Dividing quantities in a given ratio
a) divide MVR 90 into two parts in the ratio 2:1.
Answer:
180:90
Step-by-step explanation:
17. Which of the following is an equivalent expression
to x2 + 6x + 112
A. (x - 3)²+3
B. (x + 3)2 + 2
C. (x + 2)2 + 3
D. (x – 3)2 + 2
Answer:
A={x-3}^2 +3Step-by-step explanation:
(x+3) (x+3)+3
x(x+3)+3(x+3)+3
x2+3x+3x+9+3
x2+6x+12
Which value of x makes the equation 1.25(4x − 10) = 7.5 true?
A. 3.5
B. -1
C. -0.5
D. 4
The awnser is x =4 or just 4
D=4
Answer:
x=4
Step-by-step explanation:
Calculate and express your answer in decimal form. 12⋅17
Answer:
12·17=207 But if you need it in a decimal, I'd say 2.07. Hope this helps!! (:
6. Claim: = 0.01.
Population statistics: = 52 and = 68
Sample statistics:
5595, N1
156 and X2 = 5575, n2 = 216
Answer:
false
Step-by-step explanation:
you have to multiply the 52 and 68, making the n1 = 5577, not 5575
For what value of x is the rational expression below equal to zero?
(x+5)(x - 1)
A. 4
ОО
B. 1
C. -5
d
D. -4
SUBMIT
Answer:
I can only guess that by x^2-2x-24 you mean the entire denominator. In cases like this is is important to use parentheses to remove any doubts. For example:
(x+8) / (x^2-2x-24).
This rational expression is undefined at any x for which the denominator, x^2-2x-24, is zero.
x^2-2x-24 factors into (x+4)(x-6). The roots are -4 and +6.
Thus, the given expression is undefined at {-4,6} (set notation).
Step-by-step explanation:
Can you tell me how to solve for X
Answer:
answer is D)10
Step-by-step explanation:
there's a square in the corner, and that tells you this angle is a right angle which is 90degrees
so 90-60=3x
30=3x
x=10
Answer:
A. 30
x=30
Step-by-step explanation:
That is a 90 degree angle. 90-60=30
DEF is a triangle. GH and EF are straight lines. Find the measures of angles 1, 2, and 3
Answer:
1= 123°
2=123°
3= 57°
Step-by-step explanation:
1:
What is the area of the right triangle in this coordinate plane?
2
3
5
6
8
9
A
need help ASAP!!! anyone know ??????
Answer:
D
Step-by-step explanation:
A square has a radius of 10 ft. Find the area of the square
Answer:
Hello hello
Step-by-step explanation:
Answer:
a square does not have a radius
Step-by-step explanation:
but you can find the area by squaring one side
HELP ME PLEASEEEEEEE ILL GIVE BRAINLIEST!!
Answer: 6π
Step-by-step explanation: First find circumference. radius is 4 so 4x2=8. 8π is circumference. You need to find 3/4 of circumference os 3/4x8π=6π