Answer:
Note that the three identities above all involve squaring and the number 1.You can see the Pythagorean-Theorom relationship clearly if you consider the unit circle, where the angle is t, the "opposite" side is sin(t) = y, the "adjacent" side is cos(t) = x, and the hypotenuse is 1.. We have additional identities related to the functional status of the trig ratios:
Step-by-step explanation:
in a continuous series the average weight of some students Is 45 kg and the sum of their weight is 540 kg find the number of students
Answer:
12.
Step-by-step explanation:
That would be sum of wieghts/average weight
= 540 / 45
= 12.
The number of students having an average of 45 kg will be 12.
What is an average?Average is defined as the ratio of the sum of the number of the data sets to the total number of the data. The average actually determines the middle value of the data.
Given that in a continuous series the average weight of some students Is 45 kg and the sum of their weight is 540 kg.
The average is calculated by the formula below,
Average = (Sum of the data) / Number
Number = ( Sum of the data) / Average
Number = 540 / 45
Number = 12
The total number of students is 12 in number.
To know more about an average follow
https://brainly.com/question/20118982
#SPJ2
A patient who originally weighed 340 pounds lost 60 pounds. What percent of his original weight did he lose?
Answer:
82.35%
Step-by-step explanation:
60 divided by 340=0.17647058823
Multiply that by 100 and you get 17.647058823
Next, round and you get 17.65
100-17.65=82.35
Which characteristics best describe the undefined concept?
has length, but no width
Point
Line
Plane
2-dimensional
1-dimensional
O dimensions
location
flat surface
Intro
Done
Mary Lost 30 pounds. Before her diet she weigh 180 pounds. What is the percent of change 
Answer:16.7%
Step-by-step explanation:
150 x
_____=______
180 100
150(100)=180(x)
15000=180x
__________
180 180
x=83.3 repeated
100-83.3=16.7
If g(x)=−5x2−11 and f(x)=10x+5, find (f⋅g)(x).
Answer: -50x^3 - 25x^2 - 110x - 55
Step-by-step explanation: brainliets if its right
what is the surface area of a rectangular prism that has a height of 47 a length of 19 and a width of 6 IF U AREN'T SYDNEETEAL I WILL REPORT U
answer:
2578
step-by-step explanation:
A=2(wl+hl+hw)=2·(47·19+6·19+6·47)=2578
good luck
hopefully this helps
have a nice day :)
What is the simplified form of √45
Answer:
3√5
Step-by-step explanation:
The largest perfect square of the factors of 45 is 9. We can therefore convert √45 like this:
√9 × 5
Next, we separate the numbers inside the √ as such:
√9 × √5
√9 is a perfect square that equals 3. We can therefore put 3 outside the radical and get the final answer to square root of 45 in simplest radical form as follows:
3√5
On a coordinate plane, 2 lines intersect around (3.6, negative 1.4).
Sven determined that the x-coordinate is approximately 3.6 because the point is closer to 4 than 3 and seems to be a little more than halfway between them.
What is the approximate value for the y-coordinate?
y Almost-equals –1.1
y Almost-equals –1.4
y Almost-equals –1.8
y Almost-equals –1.9
Answer:
1.4
Step-by-step explanation:
Answer:
B, 1.4
Step-by-step explanation:
Select all of the ordered pairs that are solutions to the system
Answer:
ALL of them
Step-by-step explanation:
They are all inside or on the border of the graphing solution
I need help on 12 please 14 points
Step-by-step explanation:
P = 6+6+5x-3 + 5x -3 = 10x+6
A = 6(5x-3) = 30x -18
Answer:
30x-18 is the area
the perimeter is 10x+6
Step-by-step explanation:
not enough info to solve for x, but we can still have a variable
6(5x-3)
distribute
6(5x)-6(3)
30x-18 is the area
the perimeter is 10x+6
What is the volume of this triangular prism?
9 ft
16 ft
4 ft
O 29 ft
O 288 ft3
O 576 ft
O 34 pt
Answer:
576
Step-by-step explanation:
U have to multiple 9 4 and 16 and get 576 and it’s base times Height
Find the surface area of the prism.
3 cm
9 cm
6 cm
The surface area is
square centimeters.
7
need asap
Answer:
198
Step-by-step explanation:
rectangular side (9,3)
9x3=27
27x2= 54 (because there's rectangular sides)
Square end(6,3)
6x3=18
18x2=36(two square sides)
top&bottom sides
6x9=54
54xsquared2=108(two sides)
add all together
54+36+108=198cm(squared)
I don’t understand what it means by find the mid points someone pls help I’m so behind
B
A baby whale was born at the zoo. The baby
weighed 234.268 pounds. What is this number
rounded to the nearest hundredth?
a) 234.3
234:26
b) 234.26
c) 234.27
d) 234.268
Answer:
B I think hope it is right
What is the least common denominator of
1/7 and 2/3
Answer:
Step-by-step explanation:
The LCD here is the smallest integer evenly divisible by both 7 and 3. That number would be 21. Then:
1/7 and 2/3 become 3/21 and 14/21.
Enter the sum of the interior angle measures of a convex 16-gon.
The sum of the interior angle measures is
Answer:
2520°
Step-by-step explanation:
Formula : (n - 2) 180, n = sides
(16-2) 180 --> (14) 180 --> 2520
Record and practice journal
Look at this equation. 3(x + 1) = 3x + Which number can be placed in the box that would create an equation that has an infinite number of solutions? OA) O OB) 1 C) 2 OD 3
[tex]52 - x = 52[/tex]
[tex]x = 52 - 52[/tex]
[tex]x = 0[/tex]
PLEASE HELP ME NOW!!!! DUE VERY SOON! PLEASE I BEG YOU!
Decorative glass balls are being stored in a box. Each ball has a radius of 2 1/3 cm.
How many balls will fit in each layer of a box that is 20 cm by 15 cm?
7 balls
12 balls
48 balls
Step-by-step explanation:
I'm trying to solve this problem but there's something wrong
What's the radius of one ball?
For the equation X equals 5T -3 what does X equal when T equals 12
Answer:x=57
Step-by-step explanation:
If lm=13 and ln=20 what is the length of mn
Answer: 7
Step-by-step explanation:
Total=LN
Piece= LM
Total-piece
LN-LM=MN
20-13=7
MN=7
Answer:
its 7
if you subtract LM and LN you get 7
Can someone please help me with math
Answer:
B
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 6 , then
y = 6x + c ← is the partial equation
To find c substitute (2, 19) into the partial equation
19 = 12 + c ⇒ c = 19 - 12 = 7
y = 6x + 7 → B
Answer:
B. y = 6x + 7
Step-by-step explanation:
Since the equation in slope: intercept form, y = mx + b, identify the slope of the line as the coefficient next to the variable x
y = 6x + 7, m = 6
Use the given slope and point to substitute into the point-slope formula
[tex]y - y1 = m (x-x1)[/tex]
Slope: intercept form:
y = 6x + 7
Point-slope form:
y - 19 = 6 (x - 2)
Clear selection
Using the following sequence, identify the 10th term: 2,-4, 8, -16
Solve the following quadratic equation using the quadratic formula.
Write the solutions in the following form, where r, s, and t are integers, and the fractions are in simplest form.
Answer:
x = (8-6i)/10
x = (8+6i)/10
Step-by-step explanation:
A plane is at Manchester, which is 170 km north of Worcester. The plane flies in a straight line for 230km and lands in Cambridge, which is directly east of Worcester.
Answer:
Well first you have to remember the plane was supposed to go north
But then he crashed at East so he has to go back to North
Step-by-step explanation:
Solve for x- round to the nearest tenth- Trigonometry
Answer:
sin26=11/X
0.438371146789×x=11
X. = 11/0.438371146789
X=25.09289235975
On Friday, Matt earned $36 walking dogs for 3 hours after school. On Saturday, he walked dogs for 8 hours. How much money did Matt earn on Saturday? Solve using unit rates.
Answer:
$96
Step-by-step explanation:
$36/3= $12 per hour
$12 * 8 = $96
Together they ran a total of 30 laps. Runner B ran 6 more than twice as many laps as Runner A. Part A: Write an equation for this situation. Use a variable to represent the number of laps for Runner A. Part B: How many laps did Runner A run? Part C: How many laps did Runner B run?
Answer:
Step-by-step explanation:
Number of laps run by Runner A = x
Number of laps run by Runner B = y
Runner B ran 6 more than twice as many laps as Runner A.
b = 6 + 2a
Together they ran a total of 30 laps.
a + b = 30
Part A: Write an equation for this situation. Use a variable to represent the number of laps for Runner A.
Part B: How many laps did Runner A run?
a + b = 30
b = 6 + 2a
Hence:
a + 6 + 2a = 30
3a = 30 - 6
3a = 27
a = 27/3
a = 9 laps
Part C: How many laps did Runner B run?
a + b = 30
b = 30 -9
b = 21 laps
Find area of the shaded region.
Area of addition and subtraction, trigonometry, and sohcahtoa.
I’ve wasted many pints asking, please I ask kindly that no one puts fake answers, I truly need help with these problems and it is inconsiderate of those who post an answer for points so please respect others.
Answer:
The area of the shaded region is about 38.1 square centimeters.
Step-by-step explanation:
We want to find the area of the shaded region.
To do so, we can first find the area of the sector and then subtract the area of the triangle from the sector.
The given circle has a radius of 6 cm.
And the given sector has a central angle of 150°.
The area for a sector is given by the formula:
[tex]\displaystyle A=\pi r^2\cdot \frac{\theta}{360^\circ}[/tex]
In this case, r = 6 and θ = 150°. Hence, the area of the sector is:
[tex]\displaystyle \begin{aligned}A&=\pi(6)^2\cdot \frac{150}{360}\\ &=36\pi\cdot \frac{5}{12}\\&=3\pi \cdot 5\\&=15\pi \text{ cm}^2\end{aligned}[/tex]
Now, we can find the area of the triangle. We can use an alternative formula:
[tex]\displaystyle A=\frac{1}{2}ab\sin(C)[/tex]
Where a and b are the side lengths, and C is the angle between them.
Both side lengths of the triangle are the radii of the circle. So, both side lengths are 6.
And the angle C is 150°. Hence, the area of the triangle is:
[tex]\displaystyle A=\frac{1}{2}(6)(6)\sin(150)=18\sin(150)[/tex]
The area of the shaded region is equivalent to the sector minus the triangle:
[tex]A_{\text{shaded}}=A_{\text{sector}}-A_{\text{triangle}}[/tex]
Therefore:
[tex]A_{\text{shaded}}=15\pi -18\sin(150)[/tex]
Use a calculator:
[tex]A_{\text{shaded}}=38.1238...\approx 38.1\text{ cm}^2[/tex]
The area of the shaded region is about 38.1 square centimeters.
On a map, the scale is 1 inch = 5 miles. On the map, the distance between two cities is 6.25
inches. What is the actual distance between the cities?
Answer:
31.25 miles
Step-by-step explanation: