Answer:
Step-by-step explanation:
If the sine is negative then theta must be in Quadrant III or Quadrant IV.
If the tangent is positive then theta must be in Quadrant I or III.
If both conditions must be satisfied, then we conclude that thera is in Quadrant III.
Note that [tex]\tan\theta=\frac{\sin\theta}{\cos\theta}.[/tex] Thus, if [tex]\sin\theta<0[/tex] and [tex]\tan\theta>0,[/tex] then we must have [tex]\cos\theta<0[/tex] as well. The sine function is negative when [tex]\theta[/tex] lies in Quadrant III or IV, and the cosine function is negative when [tex]\theta[/tex] lies in Quadrant II or III. Thus, the two are both negative when [tex]\theta[/tex] lies in Quadrant III, or [tex]\pi+2\pi n<\theta<\frac{3\pi}{2}+2\pi n[/tex] for integer values of [tex]n.[/tex]
Jim and Krutika are marking exam papers. Each set takes Jim 50 minutes and Krutika 1 hour. Express the times Jim and Krutika take as a ratio.
Give your answer in its simplest form.
Answer:
5:6
Step-by-step explanation:
Simplify the expression.
Answer:
64x
Step-by-step explanation:
that would be my answer
hope this helps!!! :)
Answer:
64x
Step-by-step explanation:
Simplify into x*4 to the 3 power
Evaluate 4 to the 3 power is 64
Reorder x*64
Final answer = 64x
I NEED HELP can anyone help me, please??
Answer:
8x - 24 + 4x = 180
12x - 24 = 180
12x - 24 + 24 = 180 + 24
12x = 204
12x / 12 = 204 / 12
x = 17
∠NOP = 4(17)
= 68°
Step-by-step explanation:
Answer:
it might not be on the choice but i got 38.
Step-by-step explanation:
since MNOP is a cyclic quadrilateral it's opposite sides are complementary. so
8x-24+4x=90
12x-24=90
12x=90+24
12x=114 (divide both sides by 12)
x=9.5
since you asked for<NOP=4*9.5=38.
What is the probability that from a normal 52 card deck, you randomly draw a 5, and then without replacement, you select a Queen of Hearts?
Answer:
1 / 663
Step-by-step explanation:
First, let's find the total number of ways you can pick 2 cards from the deck. This is 52 * 51 = 2652 because there are 52 cards available for your first pick, and after you pick one, you'll have 51 left for your second pick.
There are 4 5's (one for every suite) and only 1 Queen of Hearts in a deck of cards. Therefore, the total number of successful outcomes will be 4 * 1 = 4.
The probability of picking a 5 and then a Queen of Hearts is 4 / 2652 =
1 / 663. Hope this helps!
The paper cup is 9 cm tall and the circular opening has a radius of 2.5 cm.
What is the minimum amount of paper needed to make the paper cup to the nearest whole cm² assuming no overlap in the paper?
Answer:
Step-by-step explanation:
Assume that the cup is a cylinder of height 9 cm and radius 2.5 cm.
The side area is A = (circumference)(height), or A = 2πrh, which here is:
A = (3.14)(2)(2.5 cm)(9 cm) = 141.37 cm²
and
The area of the bottom is A = πr², or (here) A = (3.14)(2.5 cm)² = 19.63 cm²
Adding together the area of the sides and the area of the bottom, we get
Total area of cup = 141.37 cm² + 19.63 cm² = 161 cm²
Leta is making strawberry almond salad for a party for every head of lettuce that she uses she adds 5 ounces of almonds and 10 strawberries if she uses 75 ounces of almonds how many heads of lettuce and how many strawberries does leta use
Find the HCF of 12, 48 and 60
Answer:
12 = 2 × 2 × 3
48 = 3 × 2 × 2 × 2 × 2
60 = 3 × 2 × 5 × 2
Thus HCF = 2 × 2× 3 = 12
Answer: the answer is 12 hope it helps
Step-by-step explanation:
7
A dozen eggs costs GH¢ 4.80. Find the cost of 16 eggs
A. GH¢ 6.00
B. GHĆ 6.40
GH€ 7.20
GH¢ 8.00
Answer:
B.
Step-by-step explanation:
Make a ratio equation:
12 : 4.8 = 16 : x
[tex]\frac{12}{4.8} = \frac{16}{x}[/tex]
Cross multiply:
12x = 76.8
x = 6.4
What is the true solution to l n 20 + l n 5 = 2 l n x x = 5 x = 10 x = 50 x = 100
Answer: x = 10
Step-by-step explanation:ln20+ln5=2lnx
ln(20x5)=lnx^2
ln100=1nx^2
100=x^2
square root
x=10
The true solution is x = 10 of the expression ln 20 + ln 5 = 2 ln x which is correct answer would be option (B).
What are the properties of logarithms?There are four basic properties of logarithms:
logₐ(xy) = logₐx + logₐy.
logₐ(x/y) = logₐx - logₐy.
logₐ(xⁿ) = n logₐx.
logₐx = logₓa / logₓb.
According to the problem, we will use some of the basic logarithmic properties,
Given expression,
⇒ ln 20 + ln 5 = 2 ln x
⇒ ln(20×5) = lnx²
⇒ ln100 = lnx²
Take anti logarithms on both sides,
⇒ 100 = x²
Taking the square root,
⇒ x = 10
Hence, the true solution is x = 10.
Learn more about the logarithmic properties here:
brainly.com/question/24211708
#SPJ6
Points X(6, 8), Y(3, 3), and Z(13, –3) form a triangle. What is the area of △XYZ?
Answer:
34
Step-by-step explanation:
area = bh/2
The area of the triangle with vertices X(6,8), Y(3,3), and Z(13,-3) is 34 square units.
Coordinates of vertices are:
X≡(6,8)
Y≡(3,3)
Z≡(13,-3)
What is the area of a triangle with vertices [tex](x_1,y_1), (x_2,y_2),(x_3,y_3)[/tex]?The area of a triangle with the above vertices is given by:[tex]\frac{1}{2} [x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2)][/tex]
So the area of the triangle with vertices X(6,8), Y(3,3), and Z(13,-3)
=[tex]\frac{1}{2} [6(3+3)+3(-3-8)+13(8-3)][/tex]
=34 square units.
Hence, the area of the triangle with vertices X(6,8), Y(3,3), and Z(13,-3) is 34 square units.
To get more about triangles visit:
https://brainly.com/question/2644832
A local quilter's guild has a population of 80. When asked how many quilts each person makes in a year, the mean of the population was 4.2. Each person in a group of 8 researchers took a sample size of 10 and determined the mean number of quilts made in one year. What statement accurately describes the relationship between the sample mean and the population mean?
a. The sample mean has to be exactly the same as the population mean
b. The sample mean may or may not be equal to the population mean.
c. The sample mean is always less than the population mean.
d. The sample mean is never the same as the population mean.
Answer:
the sample mean is never the same as population
Answer:
b
Step-by-step explanation:
In the figure below, BD and AC are diameters of circle P.
What is the arc measure of major arc DBC in degrees?
Answer:
mDBC = 341 °
Step-by-step explanation:
Arc DBC is almost the whole circle, if you were to exclude the degree measure of minor arc DC; which is, in other words m∠ DPC
Now by Vertical Angles Theorem:
m ∠ DPC = m∠ APB, ⇒ provided BD, and AC are diameters
m∠ DPC = 19°
This would mean ⇒
mDBC = 360 - m∠ DPC,
mDBC = 360 - 19,
mDBC = 341 degrees ( ° )
PLEASE PLEASE PLEASE HELP I will mark brainliest
Answer:
Only the first one should be check-marked.
Step-by-step explanation:
— 3х + Зу = 9
2x – 7y = - 14
Answer: A! x=-1 2/5, y= 1 3/5
Step-by-step explanation:
First put -3x+3y=9 into slope-intercept form(y=mx+b)
3y=-3x+9
then solve for y
y=-1x+3
enter your y-intercept into the equation below..
2x-7(-1x+3)=-14
2x+7x-21=-14
2x+7x=-14+21(when changing sides it changes signs that's why 21 is now a positive)
2x-7x=7
-5x=7 divide -5 into 7
7/5
x=-1 and 2/5
then input x back into the first equation
-3(7/-5)+3y=9
21/5+3y=9
3y=9-21/5
3y=24/5
divide 3 into 24/5
=24/15=1 and 9/15 reduce it anddd
y=1 and 3/5
OK so I need help on this trigonometry problem, I need it by June 3rd HELP ME PLZ!
I asked my teacher and he said it's not a right triangle at all,
You must create a triangular Animal pen that covers 40 square yards however it has to contain a 30-degree angle. Give the lengths of two sides of a triangle that include the angle but has an area of 40 sq yards.
Answer:
a=16 b =10 or any other combination that gives 160
a = 20 b=8
a = 32 b = 5
Step-by-step explanation:
The area of a triangle using the lengths of two sides and the sine of the included angle is ½ ab sin C where a and b are sides and C is the angle.
A =40 = 1/2 ab sin 30°
sin 30° = 1/2 so
40 = 1/2*ab*1/2
40 =1/4 ab multiply each side by 4
160 = ab
any combination of sides that gives you 160 will work
Let's check if a=16 b =10
A = 1/2*16*10 sin 30°
A = 1/2*160*1/2
A = 40
Solve for x
-5(2x+1)-2x-2=17
5l³-10l²
can someone please explain how to factorize with indices
Answer:
[tex]5\:l^2(l-2)[/tex]
Step-by-step explanation:
[tex]5\:l^3-10\:l^2\\= 5\:l^2\times l-5\:l^2\times 2\\= 5\:l^2(l-2)... ( 5\:l^2\: are \: common)[/tex]
Angle
C
CC is inscribed in circle
O
OO.
A
B
‾
AB
start overline, A, B, end overline is a diameter of circle
O
OO.
What is the radius of circle
O
OO?
Answer:
An inscribed angle is defined as the half of its intercepted arc. It's important to notice that the subtended arc by angle C is 180°, because it's have of the total arc length.
[tex]C=\frac{1}{2} (180\°)=90\°[/tex]
Therefore, angle C is a right angle.
Now, in the image attached you can notice that triangle ABC has one acute angle of 46° and one right angle. We already know that the sum of all three internal angles of a triangle must be equal to 180°.
[tex]90\° + 46\° + B=180\°\\B=180\° - 46\° - 90\° = 44\°[/tex]
On the other hand, notice that the diameter of the circle represents the hypothenuse for the right triangle. To find the hypothenuse, we need to know the length of one leg at least.
Therefore, there's no enough information to find the hypothenuse, which implies we can't find the diameter/radius.
Answer:
90 degrees
Step-by-step explanation:
Find two consecutive whole numbers that /28 lies between NEED ASAP PLEASE
Answer:
To be honest
Step-by-step explanation:
14
If f(x) - 4 -3 and s() = x1, find (f-g)(x)
Answer:
=fx-gx
Step-by-step explanation:
Apply the distribute law
Remove Parentheses
Answer found
Answer: =fx-gx
Hope this helps.
Which relationships have the same constant of proportionality between yyy and xxx as the equation 3y=27x3y=27x3, y, equals, 27, x?
GIVE ME 3 answers PLS AND SUB TO ItzMeVik on yotube!!
100 points btw
Answer:
[tex]y=9x[/tex]
[tex]y=\frac{18x}{2}[/tex]
[tex]y=\frac{81x}{9}[/tex]
Step-by-step explanation:
The given equation is
[tex]3y=27x[/tex]
If we isolate [tex]y[/tex], we can find the constant
[tex]y=\frac{27x}{3}\\ y=9x[/tex]
So, the constant is [tex]k=9[/tex].
Another proportions that have the same constant as the given equation are
[tex]y=9x[/tex]
[tex]y=\frac{18x}{2}[/tex]
[tex]y=\frac{81x}{9}[/tex]
Answer:
a,b, and c
Step-by-step explanation: Got it from khan :)
How many rice balls can Justin make with 700700700 grams of rice?
Answer:
im pretty sure its 777 hope this helped:)
What goes in the blank box
Answer:
vertex
Step-by-step explanation:
The answer is vertex because when two rays meet up, the point where they meet is the vertex. The vertex will always be the point of two lines. For example a triangle has three vertices because there are three places in which lines meet up.
HELP! 30 pts!
The circle below is centered at the point (-2, -3) and has a radius of length 3.
Answer:
[tex] (x + 2)^2 + (y + 3)^2 = 9[/tex]
Step-by-step explanation:
Center = (-2, - 3) = (h, k)
Radius (r) = 3
Equation of circle in centre radius form is given as:
[tex] (x - h) ^2 + (y - k) ^2 = r^2 \\
\therefore \{x - (-2)\}^2 + \{y - (-3)\}^2 = 3^2 \\
\purple {\boxed {\bold {\therefore(x + 2)^2 + (y + 3)^2 = 9}}} [/tex]
A group of 6 students was asked, "How many hours did you watch television last week?" Here are their responses.
16, 8, 15, 5, 6, 20
Find the mean number of hours for these students.
If necessary, round your answer to the nearest tenth.
If you could help me that would be great! I guess I am having a really big brain fart! But anyway, if you do THANKS!
Answer:
11.67
Step-by-step explanation:
16+8+15+5+6+20=70
70 divided by 6= 11.666666666667
11.666666666667= 11.67
Answer:
11.666666667 - rounded would be 11.67
Take away the 6 or 7. Can't remember
Step-by-step explanation:
The mean is the average of the numbers. It is easy to calculate: add up all the numbers, then divide by how many numbers there are. In other words it is the sum divided by the count.
Find the perimeter of the sector. With an angle of 110 degrees and a radius of 8
Answer:
49 / 9π + 16
Step-by-step explanation:
So 110 / 360 = 11 / 36
The circumference of the circle is 16π
11 / 36 * 16 = 44 / 9π
44 / 9π + 8 + 8 is the answer since you gotta add the sides.
This might be wrong so check my steps.
Find the arc length of the semicircle.
Answer:
8π
Step-by-step explanation:
2 * π * r * 0.5
16π * 0.5
8π
Answer:
4 pi
Step-by-step explanation:
F(x)=4x^2+2x+6 what is the value of the discriminant of f?
Answer:
-92
Step-by-step explanation:
So the way you find the discriminant is b^2 - 4ac
a = 4
b = 2
c = 6
4 - 96
-92
Can you please help please please help me with this question please and i will give you a Brainiest
25% discount means we pay 100% - 25% = 75% of the original price.
Relationship between sale price and regular price?
SalePrice = (1 - 25/100) × RegularPrice
Sale price is 75% of regular price.
The cost of 2 markers and 5 pencils is $3.25. The cost of 4 markers and 6 pencils is $5.50.
What is the cost of each item?
Answer: markers are a dollar each and pencils are twenty five cents each
Step-by-step explanation:
2x1 = 2
5x.25 = 1.25
2+1.25= 3.25
4x1 = 4
6x.25= 1.50
4+1.30 = 5.50
Hope this helps and if you need me to explain it better feel free to ask!