Answer:
cos x° = adjacent ÷ hypotenuse
Step-by-step explanation:
Option (A) cos x° = adjacent ÷ hypotenuse is correct because cos is the ratio of the side adjacent to the angle to the hypotenuse option (A) is correct.
What is trigonometry?Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.
We have given trigonometric ratios in the options.
As we know the trigonometric ratio is defined as the ratio of the pair of a right-angled triangle.
In the right angle triangle (It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base)
cos is the ratio of the side adjacent to the angle to the hypotenuse
cos x° = adjacent ÷ hypotenuse
tan is the ratio of the side opposite to the angle to the side adjacent to the angle.
tan x° = opposite ÷ adjacent
Thus, option (A) cos x° = adjacent ÷ hypotenuse is correct because cos is the ratio of the side adjacent to the angle to the hypotenuse option (A) is correct.
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Please help please and thanks
What are the coordinates of the point plotted on this graph?
Answer:
C
Step-by-step explanation:
Correct answer
Help find area of this
Answer:
120 sq feet
Step-by-step explanation:
1. 8 x 10 = 80
2. 8 x 5 = 40
3. 80 + 40 = 120 ft2 (sq feet)
What is the axis of symmetry for the graph of y=2x^2-6x+2
Use the formula below:
[tex] \large \boxed{h = - \frac{b}{2a} }[/tex]
From the given equation:
[tex] \large{y = 2 {x}^{2} - 6x + 2}[/tex]
Substitute a = 2 and b = -6 in the formula.
[tex] \large{h = - \frac{ - 6}{2(2)} } \\ \large{h = - \frac{ - 6}{4} } \\ \large{h = - \frac{ - 3}{2} \longrightarrow \boxed{h = \frac{3}{2} }}[/tex]
Since h is from (h,k). From an ordered pair, h = x and k = y. When answering the axis of symmetry, you should answer in term of x.
Answer
The axis of symmetry is x = 3/27) Point P is located at (4,8) on a coordinate plane. Point P will be relfected over y = x. What will bee
the coordiantes of the image of point P?
A. (28,4)
B. 24,8)
C. (4,28)
D. (8,4)
What is the sum of the polynomials?
(m + n + 3) + (m + n + 4)
Answer:
i honestly dk but need help
Step-by-step explanation:
ls
Answer:
2m+2n+7
Step-by-step explanation:
See image below:)
HELPPP QUICK PLSS I WOULD REALLY APPRECIATE IT
Answer:
The colder it is, the more cups of hot chocolate will be sold.
Step-by-step explanation:
When it was 15 degrees Fahrenheit, 80 cups of hot chocolate were sold. When it was a 90 degree summer day, only 4 cups of hot chocolate were sold.
Find the value of the expression (4x – 12)+(1/3xy – 5) when x = 6 and y=2
Answer:
11
Step-by-step explanation:
GIVEN
x = 6
y = 2
STEPS
(4x - 12) + (1/3xy - 5 )
(4(6) - 12 ) + ( 1/3(6x2) - 5)
(24 - 12) + ( 1/3(12) - 5)
12 + (4 - 5)
12 + (-1)
(12 - 1)
11
Find the length of DF will give brainliest to the right answer
Answer:
3.75
Step-by-step explanation:
DF = 6/24 × 15 = 3.75
________________
Calculate half yearly payment required for each five year intervals
Answer:
bro im not going to download that pdf
Step-by-step explanation:
The board of directors of a corporation must select a president, a secretary, and a treasurer. In how many possible ways can this be accomplished if there are 25 members on the board of directors
Answer:
2400 ways
Step-by-step explanation:
Combination has to do with the idea of selection. Here we need to select a president, a secretary, and a treasurer.
This means to select three out of twenty five persons.
From;
nCr = n! / ((n – r)! r!)
n = the number of items.
r = how many items are taken at a time.
Thus we have;
25C3 = 25!/(25 - 3)! 3!
=
1.6× 10^25/1.1×10^21 × 6
= 2400 ways
if the given ordered pair equal then find value of x and y
(3x+5)=(x+2)
and (4y+7)= (y+3)
Answer:
3x+5 =x+2
3x-x=2-5
2x= –3
x=-3/2
4y+7=y+3
4y–y =3-7
3y=–4
y= —4/3
HELP DUE SOON 20 POINTS
Answer:
x = 10
Step-by-step explanation:
m∠KNL = 90
10x - 10 = 90
10x = 100
x = 10
Write a statement that indicates that the triangles in each pair are congruent. NO LINKS!!
Answer:
23
UVW congruent to WFG
and
24
FHG congruent to LMN
Answer:
23 ) UVW is congruent to WGF
24 ) FHG is congruent to LMN
A local dealership provides you with statistics that show the number of each color car they sold last year along with the percentages that those sales represented relative to their inventory for that color car.
For each color, how many cars did the dealership have in its inventory before they started selling them?
Answer:
red: 20
white: 30
black: 25
silver: 40
other: 12
Step-by-step explanation:
To find the original number of cars per color in the inventory, divide the sold number of cars by the percent of the inventory.
red: 20 = 10/0.5
white: 30 = 21/0.7
black: 25 = 19/0.76
silver: 40 = 10/0.25
other: 12 = 4/0.33
what is 12 take away 1 3/5
10 3/5
thank your guy for the pool work
Find the measures of the angles marked x and y Remember that ( 1 ) the sum of the measures of the angles of a triangle is 180 ° and (2) supplementary angles have a sum of 180 °
Answer:
gonna guess you're asked to find the measures of two interior angles given at least one exterior angle and one interior angle.
Two angles on the same line are SUPPLEMENTARY. Let's say your exterior angle is 95 degrees. That makes the corresponding interior angle 180 - 95 = 85 degrees. If your other interior angle is 79 degrees, then your last interior angle is 180 - (85 + 79) = 16 degrees.
The measure of x and y is -
x = 40°
y = 50°
We have a figure shown in the image.
We have to determine the measure of angle x and angle y.
What is the relation between the sides of any triangle ?The relation states that the sum of the any two sides of a triangle is always greater than the third side. Mathematically -
a + b > c
According to the question -
y + (2x + 50)° = 180° [supplementary angles have a sum of 180°]
2x + y = 130°
y = 130° - 2x
Therefore, in the right - angled triangle -
x + 130° - 2x + 90° = 180° [the sum of angles of a Δ = 180°]
- x + 220° = 180°
x = 220° - 180°
x = 40°
and
y = 130 - 2 x 40 = 50°
Hence, the measure of x and y is -
x = 40°
y = 50°
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The average height of corn stalks in a field is 71 inches with a standard deviation of 4.3 inches. Sketch a normal curve labeling the horizontal axis at one, two, and three standard deviations from the mean.
Answer:
The answer is below
Step-by-step explanation:
The empirical rules states that for a normal distribution, 68% of the data falls within one standard deviation from the mean, 95% falls within two standard deviation from the mean and 99.7% falls within three standard deviations from the mean.
Given that:
mean (μ) = 71 inches, standard deviation (σ) = 4.3 inches
One standard deviation = μ ± σ = 71 ± 4.3 = (66.7, 75.3)
Two standard deviation = μ ± 2σ = 71 ± 2*4.3 = (62.4, 79.6)
Three standard deviation = μ ± 3σ = 71 ± 3*4.3 = (58.1, 83.9)
The graph is attached
Select the true statement about the relationship between sample size and the standard deviation of distribution of sample means, also known as the standard error.
a. As sample size increases, standard error increases.
b. Sample size does not have an impact on standard error.
c. As sample size increases, standard error decreases.
d. As sample size decreases, standard error decreases.
Answer:
c. As sample size increases, standard error decreases.
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
Thus:
The standard error is inversely proportional to the square root of the sample size, that is, as the sample size increases, the standard error decreases, and the correct answer is given by option c.
if it takes 53 seconds to walk from the first floor of a building to the third floor how long will it take you to walk from the first floor to the six floor
Answer: 106 seconds. (1 minute and 46 seconds.
Step-by-step explanation: If it takes 53 seconds to get through 3 floors and there are six, that means you have to multiply 53 by 2, because there are 2 sets of 3 floors.
Hope this helps! :)
Find the number of solutions of the equation 6x^2+6x+3=0 by using the discriminant
Answer:
No real roots
Step-by-step explanation:
Given
[tex]6x^2 + 6x + 3 = 0[/tex]
Required
The number of solution
The discriminant (d) for [tex]ax^2 + bx + c = 0[/tex] is:
[tex]d = b^2 - 4ac[/tex]
So, we have:
[tex]d = 6^2 - 4*6*3[/tex]
[tex]d = 36 - 72[/tex]
[tex]d = -36[/tex]
Since [tex]d <0[/tex], then the equation has no real roots
The stock of Company A gained 6% today to $87.45. What was the opening price of the stock in the beginning of the day?
25 POINTS!!!!!!!!!!!!!!!!
Answer:
$82.50
Step-by-step explanation:
gainsd 6%=106%
$87.45×100%/106%=$82.50
Hope can help!!!
Answer:
$82.50
Step-by-step explanation:
gained6%=100%+6%
100%+6%=$87.45
100%=?
solution :
$87.45×100/106=$82.50
You roll a fair six-sided die. What are the chances the die shows an odd number or a number greater than one?
Answer:
4/3
Step-by-step explanation:
Out of the six sides 3 are odd and there's 5 numbers greater than 1. Basically these turn to the fractions 3/6 and 5/6 (these fractions stand for the probability they get rolled on this die).
Since the question says OR and not AND you add these fractions!
3/6 + 5/6 = 4/3
Which completely describes the polygon ? equilateral equiangular regular congruent
Explanation:
Any regular polygon is both equilateral and equiangular.
Equilateral = all sides are equal
Equiangular = all angles are equal
I need the steps if possible:)
Answer:
3/6=1/2
Step-by-step explanation:
There are 3 ways you can roll an even number on a 6-sided die: 2, 4, and 6
Therefore, the probability of rolling an even number is 3/6 or 1/2.
What is the measure of angle AIN?
O
A. 95°
B. 125°
C. 55
o
O
D. 30°
Answer:
30
Step-by-step explanation:
AIN is a vertical angle to FIL, which means they ae equal
FIL = 30 so AIN = 30
PLS HELP!! I NEED TO FIND THE SURFACE AREA OF THIS CYLINDER!!!!!
Answer:
Step-by-step explanation:
you have two disks, and one rectangle
area of the disk = π [tex]r^{2}[/tex]
47 π x 2 = 94 π (for the two disks....
rectangle area = L x W
width = 14
Length = 2*π*r = 14π
area = 14*14π = 196 π
total = 196 π + 94 π = 290 π
Answer:
The surface area of this cylinder is about 923.63 [tex]inches^{2}[/tex].
Step-by-step explanation:
The formula for the surface area of a cylinder is this :
[tex]A = 2\pi rh+2\pi r^{2}[/tex]
"R" is 7, and "h" is 14. Knowing these values, let's solve.
[tex]A = 2\pi rh+2\pi r^{2}[/tex] = 2 · π · 7 · 14 + 2 · π ·72 ≈ 923.62824
The surface area of this cylinder is about 923.63 [tex]inches^{2}[/tex].
Hope this helps, please mark brainliest! :)
HELP! Please!
Create an equation to model a population of cells which starts with 10 cells and doubles in size every day. How many days will it take to reach 1,000,000 cells?
Answer:
it will take 100,000 more days.
you can do this by dividing 10 and 1,000,000
John made a small rectangular table for his workroom. If the sides of the table are 32 inches and 26 inches, what should the table measure diagonally?
Answer:
The table should measure diagonally about 41.23 inches.
Step-by-step explanation:
To find the diagonal of a rectangle we use the formula :
[tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex]
A and B both represent the side lengths of the rectangle, while C is the diagonal part. Knowing this formula, let's plug in the values for A and B and see what happens.
[tex]32^{2}[/tex] + [tex]26^{2}[/tex] = [tex]c^{2}[/tex]
1024 + 676 = [tex]c^{2}[/tex]
1700 = [tex]c^{2}[/tex]
The square root of 1700 is (rounded to the hundreth's place) = 41.23
Answer:
c41
Step-by-step explanation:
24 rail cars is what % of 40 rail cars