Answer:
Step-by-step explanation
There are many ways to prove this identity. But, I will use the simplest one. If you have a right triangle, the length of the horizontal side is x, the length of the vertical side is y, and the hypotenuse is r. So, the relation between x and r can be written in cosine form:
[tex]\cos\theta=\frac{x}{r}[/tex]
The relation between y and r can be written in sine form:
[tex]\sin\theta=\frac{y}{r}[/tex]
Pythagoras told you that for the right triangle [tex]x^{2}+y^{2}=r^{2}[/tex] should be satisfied. Substitute x and y from the cosine and sine form:
[tex](r\cos\theta)^{2}+(r\sin\theta)^{2}=r^{2}[/tex]
[tex]r^{2}\cos^{2}\theta+r^{2}\sin^{2}\theta =r^{2}[/tex]
the square of r will cancel out, and you can get your identity:
[tex]\cos^{2}\theta+\sin^{2}\theta=1[/tex]
i have 120g butter and 150g sugar.
1) what’s the ratio of butter to sugar?
2) what’s the ratio in the form 1:n ?
Answer:
1) 4 : 5
2) 1 : 5/4
.................................
rearrange so u Rearrange the equation so www is the independent variable.
−2u+6w=9
Answer:
w=9+2u/6
Step-by-step explanation:
-2u+6w=9
+2u on both sides
6w=9+2u
/6 on both sides
w=9+2u/6
Convert the fraction 23/
12
into decimal
Answer:
1.916 just devide: 23÷12=1.916
Answer:
[tex]1.917[/tex]
Step-by-step explanation:
[tex] \frac{23}{12} \frac{ \times8.33333333 }{ \times 8.33333333} \\ = \frac{191.666667}{100} \\ = 1.917[/tex]
x2-30x+81
Answer (x-27)(x-3)
Please help me with this coordinate geometry homework !!!!
Answer:
Step-by-step explanation:
a. Gradient of A = 7/-7 = -1.
b. For line B, m = 3/1.5 = 2 and c = y-intercept = 3.
c. The line parallel to B will have the same gradient m = 2.
It also passes through (1, -1) so we use the point-slope form of the straight line
y - y1 = m(x - x1)
Here m = 2 and (x1, y1) = (1, -1) so
y - (-1) = 2(x - 1)
y = 2x - 2 - 1
y = 2x -3.
help i give brianlyist and 5 star rating whith heart
Answer:
26
Step-by-step explanation:
perimeter is sum of all sides
11+7+4+4=perimeter
26
Solve the following equation.
25z^2+93 = 100z
Step-by-step explanation:
25z square+93=100z
=25z square+93=10z square
=25z square-10z square=-93
=15z square= -93
Please help! Geometry Dilations, Similar triangles & proportionality
9514 1404 393
Answer:
? = 8
Step-by-step explanation:
The parallel lines divide the segments proportionally:
?/4 = 10/5
? = 4(10/5) = 8 . . . . multiply by 4
The missing length is 8.
please help me ..............
Answer: A, C, E
Step-by-step explanation:
An undefined slope means the line is vertical (and thus the x-coordinates are constant).
Which lists all the factors of 20? *
1 point
2, 4, 5
20, 40, 60
1, 2, 4, 5, 10, 20
5, 10, 15, 20
Answer:
C
Step-by-step explanation:
A is incorrect because it doesn't list all of the factors of 20.
B is incorrect because it is listing the multiples of 20.
D is incorrect because is doesn't list all of the factors of 20.
Figure ABCD is a parallelogram.What is the value of n?3 5 17 25
Answer:
17
Step-by-step explanation:
∠B = ∠D
2n + 32 = 4n - 2
32 + 2 = 4n - 2n
2n = 34
n = 17
g (x) = x2 + 12x-
35
Answer:
not factorable
Step-by-step explanation:
g(x) = x²+12x-35
Not factorable
Sid Upp is four years younger than his brother Tip. Let x stand for Tip's age . Write an equation stating that Sid's age is 32.
Answer:
x+4=36
Step-by-step explanation:
you would subtract 4 on each side
x+4=36
-4 -4
x=32
MATHEMATICAL CONNECTIONS The volume of a cylinder is given by V=pi r^2h, where r is the radius of the base of the cylinder and h is the height of the cylinder. Find the dimensions of the cylinder. the radius is h-3 and the volume is 25h*pi
[tex]\textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=h-3\\ V=25h\pi \end{cases}\implies 25h\pi =\pi (h-3)^2 h \\\\\\ \cfrac{25h\pi }{\pi h }=(h-3)(h-3)h\implies 25=\stackrel{F~O~I~L}{h^2-6h+9}\implies 0=h^2-6h-16 \\\\\\ 0=(h-8)(h+2)\implies \blacktriangleright h= \begin{cases} 8~~\checkmark\\ -2 \end{cases} \blacktriangleleft ~\hfill \blacktriangleright \underset{radius}{\stackrel{8~~ - ~~3}{5}} \blacktriangleleft[/tex]
notice, we didn't use h = -2, because the height cannot be a negative value.
in which quadrant is the point (4,-2 located
Answer:
quadrant 4
Step-by-step explanation:
Hope this helped :)
also can you pls rate thanks
Answer:
The point is located in the fourth quadrant.
Step-by-step explanation:
I'm pretty sure it that. Hope its right!
The Red Shell's flight path is modeled by the equation:
y = -2x2 + 60x + 350
a) Factor the equation below:
olutions to the equation?
Answer:
Geometric figure: Straight Line
Slope = 120.000/2.000 = 60.000
x-intercept = 346/-60 = 173/-30 = -5.76667
y-intercept = 346/1 = 346.00000
Step-by-step explanation:
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
y-(-4+60*x+350)=0
STEP
1
:
Equation of a Straight Line
1.1 Solve y-60x-346 = 0
Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).
"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.
In this formula :
y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y axis
The X and Y intercepts and the Slope are called the line properties. We shall now graph the line y-60x-346 = 0 and calculate its properties
Graph of a Straight Line :
Calculate the Y-Intercept :
Notice that when x = 0 the value of y is 346/1 so this line "cuts" the y axis at y=346.00000
y-intercept = 346/1 = 346.00000
Calculate the X-Intercept :
When y = 0 the value of x is 173/-30 Our line therefore "cuts" the x axis at x=-5.76667
x-intercept = 346/-60 = 173/-30 = -5.76667
Calculate the Slope :
Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 346.000 and for x=2.000, the value of y is 466.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 466.000 - 346.000 = 120.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
Slope = 120.000/2.000 = 60.000
Geometric figure: Straight Line
Slope = 120.000/2.000 = 60.000
x-intercept = 346/-60 = 173/-30 = -5.76667
y-intercept = 346/1 = 346.00000
PLEASE HELP!!! ILL GIVE BRANLIEST *EXTRA POINTS* dont skip :((
Answer:
75%
Step-by-step explanation:
math go brr
The value of each expression if x=12
3x
Answer:
3*12=36
hope thats the answer
PLEASEEEE HELP!!!!!!!!!!!
Answer:
yes
Step-by-step explanation:
The question has been posted below:
Answer:
Step-by-step explanation:
b:)
The area in square feet of a rectangular field is
x2 – 120x + 3500. The width, in feet, is x-50. What is the
length, in feet?
Answer:
Length in feet: x-70
Step-by-step explanation:
Use factorization to find the length
Area = X^2-120x+3500
Area= length x width.
Area= L x (x-50)= (x-___) (x-50)
To find L we know that in factoring the quadratic equation 50 x __ must be equal to 3500.
(x-70)(x-50) = x^2-120x+3500.
is 3 8/33 equivalent to the decimal 3.24 (repeating)
Answer:
Yes it is
Step-by-step explanation:
8 ÷ 33 = .242424( infinite )
Add the beginning 3 to it and you get 3.24 (repeating)
Hope this helps.
Is this scientific notation
42,060=4.206 x 10 to the 4th
Answer:
yes it is scientific notation
These points are linear.
Find the slope.
x -2 -1 0 1 2
y -7 0 7 14 21
Answer:
7
Step-by-step explanation:
use the equation y2 - y1/ x2 - x1 to find the slope
-7 - 0/-2 - (-1)
-7/-1
7
y = 7x + b
if you want to check we have to find the y-intercept
(i can also show how to find it if you want :D)
a farmer sells 8.6 kilograms of pears and apples at the market.1/4 of this weight are pears the rest are apples. How many kilograms of apples did she sell at the farmers market?
Step-by-step explanation:
8.6÷1/4 = 34.4
#Ihopethishelps
PLEASE HELP! WILL GIVE BRAINLIEST
Answer:
b
Step-by-step explanation:
if you put
[tex] \times = 0 \\[/tex]
and check the values
function b gives highest value
please help, i did 90 - 10 and I got 80. I’m stuck at 80
Answer:
approx 216
Step-by-step explanation:
well we go to the 10mm mark and we add the columns taht appear before that. Those are two columns : the brown/orangey one and the green one.
if the scale goes up in twenty and each jump has four squares then we can say that one square is equal to 5 up
so we now can read the first two columns
the first one reads 135
the second one reads approximately 81
we add those up and that becomes 216
so the answer is approximately 216
a cylinder has an approimate 1357.1 cubic yards. the raduis of the cylinder is 6 yards. what is the height of the cylinder
Answer:
Step-by-step explanation:
Find the radius and height. ...
Convert inches to yards, convert feet to yards, or convert meters to yards.
Multiply the radius of the cylinder times the radius, e.g. r2
Multiply times π to get the area of the circle.
Multiply times the height of the cylinder to get the volume.
After Lydia spends 20% of her savings on car repairs, she has $1500 left. How much was in her saving originally?
Answer:
$7,500
Step-by-step explanation:
1500/2 750, 750x10=7,500
A triangle has an area of 35 cm squared. The BASE of the triangle is (x-5) cm and the HEIGHT of the triangle is (x-14) cm. Find the measure of the HEIGHT and BASE.
Try to use this method and see if you get the answer
Step-by-step explanation:
area = b * h / 2 , where b is a base, h - height.
so h = 2 * area / b.