Answer:
5.143m
Step-by-step explanation:
Since we are not asked what to find, we can find the height of the building
Given
Length of ladder (hypotenuse) = 6m
angle of elevation = 59°
Required
Height of building H (opposite)
Using the SOH CAH TOA identity
sin theta = opp/hyp
sin 59 = H/6
H = 6sin59
H = 6(0.85716)
H =5.143
Hence the height of the building is 5.143m
Use pythagorean theorem to find perimeter
Answer:
36
Step-by-step explanation:
Counting the squares: base = 12, height = 9.
We will use pythagorean theorem to find the third side.
Let it be x.
So,
[tex]x^2 = 12^2 + 9^2\\x^2 = 144 + 8 1 = 225\\x = 15[/tex]
Perimeter of triangle = sum lengths of all sides
= 12 + 9 + 15
= 36 units
The water tank in your school holds 20 liters of water. One day it was 34 full. That day, 14 liters of tank capacity was used up. How many liters of water remained in the tank at the end of the day
Answer:
20
Step-by-step explanation:
The water tank in the school hold 20 liters of water
One day it was 34 liters full
14 liters of water was used up
Therefore the quantity of water left can be calculated as follows
= 34-14
= 20
Hence 20 liters of water remains in the tank
What is the area of the given figure in square centimeters?
Can some one help me answer all ten questions they are due at 10:00 I will give out brainly. Part 3 Bonus question
Answer:
226
Step-by-step explanation:
Area of rectangle:
x+6=17
x=11
11+6=17
11+3=14
17×14=238
Area of triangle:
[tex] \frac{1}{2} \times b \times h[/tex]
Use phytagoras theorem to find the base of the triangle:
c²=a²+b²
5²=4²+b²
25=16+b²
b²=25-16
b²=9
b=√9
b=3 (only the half)
b=6 (the whole base)
[tex] \frac{1}{2} \times 6 \times 4[/tex]
3×4
12
Shades region:
238-12
=226
Mary cut a wire into 7 equal pieces. The wire was originally 7.84 meters long. How long is each piece?
Answer:
Each piece is 1.12 meters long
Step-by-step explanation:
7 equal pieces = divide x by 7
equation: 7.84 / 7
Suppose the two measures of a center are 82.5 degrees and 83.6 degrees. Which value is the median?
A. 82.5
B. 83.6
Answer:
83.05
Step-by-step explanation:
The two measures of the center are 82.5 and 83.6
The value of the median can be calculated a follows
= 82.5 + 83.6/2
= 166.1/2
= 83.05
Hence the value of the media is 83.05
Expand the function.
f(x) = (3x - 1)3
Answer:
[tex](a-b)^3 = a^3 - b^3 - 3a^2b + 3ab^2\\\\a = 3x, \ b = 1\\\\(3x-1)^3 = (3x)^3 - (1)^3 - 3(3x)^2(1) + 3(3x)(1)^2\\\\[/tex]
[tex]= 27x^3 - 1-3(9x^2)+ 9x\\\\=27x^3 -27x^2 +9x -1[/tex]
The expanded form of the function f(x) = (3x - 1)³ is 27x³ - 9x² + 9x - 1.
We have,
To expand the function f(x) = (3x - 1)³, we can use the binomial expansion formula, which states:
(a + b)³ = a³ + 3a²b + 3ab² + b³
In this case,
a = 3x and b = -1.
Substituting these values into the formula, we get:
[tex](3x - 1)^3 = (3x)^3 + 3(3x)^2(-1) + 3(3x)(-1)^2 + (-1)^3[/tex]
Simplifying further:
(3x - 1)³ = 27x³ - 9x³ + 9x - 1
Therefore,
The expanded form of the function f(x) = (3x - 1)³ is 27x³ - 9x² + 9x - 1.
Learn more about functions here:
https://brainly.com/question/28533782
#SPJ6
can somebody help me please and thank you, this is due today. No links please!
Answer:
Yes
Step-by-step explanation:
Y=9x2
Y=18
So you put a dot on 18 on the vertical axis and draw a line which is horizontal.
F(x)=3x^2+2 the quadratic function g(x) is the function f(x) stretched vertically by a factor of 4. Enter the equation of g(x) in the box
Answer:
g(x) = 12*x^2 + 8
Step-by-step explanation:
For a function f(x), a vertical stretch of scale factor k is defined as:
g(x) = k*f(x)
In this case, we know that f(x) = 3*x^2 + 2
And the function g(x) is the function f(x) vertically stretched by a factor of 4, then we have k = 4
and:
g(x) = 4*f(x)
Replacing by the actual function, we get
g(x) = 4*(3*x^2 + 2)
g(x) = 4*3*x^2 + 4*2
g(x) = 12*x^2 + 8
This season, the probability that the Yankees will win a game is 0.6 and the probability that the Yankees will score 5 or more runs in a game is 0.57. The probability that the Yankees lose and score fewer than 5 runs is 0.34. What is the probability that the Yankees would score fewer than 5 runs when they win the game? Round your answer to the nearest thousandth.
The probability that the Yankees would score fewer than 5 runs when they win the game is 0.204 if the probability that the Yankees will win a game is 0.6
What is probability?It is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
The probability that the Yankees will win a game P(win) = 0.6
The probability that the Yankees will score 5 or more runs in a game is:
P(s>5) = 0.57
The probability that the Yankees lose and score fewer than 5 runs is:
P(s<5) = 0.34
To find the probability that the Yankees would score fewer than 5 runs when they win the game:
This is the case of probabilities of one event and another event together we will multiply the respective probabilities of the event:
= P(win)×P(s<5)
= 0.6×0.34
= 0.204
Thus, the probability that the Yankees would score fewer than 5 runs when they win the game is 0.204 if the probability that the Yankees will win a game is 0.6
Learn more about the probability here:
brainly.com/question/11234923
25x2 – 9y2
Factories
Answer:
Step-by-step explanation:
25x^2-9y^2
=(5x)^2-(3y)^2
=(5x-3y)(5y+3y)
Answer:
=2(25×-9y) okay na po bayan
pliss solve and give explaniaton
Answer:
300in²
Step-by-step explanation:
l= 12
w= 9
h= 2
Substitute into the equation
S= 2(lw+ wh + hl)
S= 2( 12x9 + 9x2+ 12x2)
S= 2( 108+ 18 + 24)
S= 2( 150)
S= 300
Determine whether a triangle with the given side lengths is a right triangle.
Answer:
1. Right Triangle
2. Right Triangle
3. Not a Right Triangle
4. Not a Right Triangle
A car travels a distance of 360 km in a time of 3 hours.
What is the car's average speed?
Answer:
convert km into m
1 km=1000m
360 km=1000*360m
=360000m
again,convert 3 hours into seconds
3 hours=60*60*3
=10800 second
average spped=total distance /time taken
=360000/10800
=33.33 m/s
Step-by-step explanation:
HELP ME PLEASE... WILL GIVE BRAINLIEST. WORTH A LOT OF POINTS
Professor M presented the pair of equations shown below:
y = 6x − 10
y = 2x − 2
Part A: Explain to Professor M how you will solve the pair of equations by using either substitution or elimination. Show all the steps you use and write the solution in (x, y) form.
Part B: If she asked you to graph the two equations, at what point will the lines representing the two equations intersect? Explain how you know this.
Answer:
A) The solution is x = 2 and y = 2
B) The graphs would intersect at the point (2, 2).
Step-by-step explanation:
A)
We start with the system of equations:
y = 6*x - 10
y = 2*x - 2
To solve this, the first step is to isolate one of the variables in one of the equations.
Here we can see that the variable "y" is already isolated in both equations, so we can skip that step.
Now we can "replace" the "y" in one of the equations for the correspondent expression in the other.
we can write:
(6*x - 10) = y
and for the second equation, we know that y = 2*x - 2
So replacing that, we get:
6*x - 10 = 2*x - 2
Now we can solve this for x.
6*x - 2*x = - 2 + 10
4*x = 8
x = 8/4 = 2
Now to find the value of y, we can just input this value of x in any one of the two equations:
y = 6*2 - 10 = 12 - 10 = 2
y = 2*2 - 2 = 4 - 2 = 2
So the solution of the system is:
x = 2, y = 2
B) Because the solution of the system is the ordered pair (2, 2), this means that the ordered pair belongs to the graph of both lines, then we can conclude that these lines will intersect at that point (the one that is common to both lines). Actually, when we have a system of equations, graphing both equations and finding the points where the graphs intersect is one method to estimate the solution of the system.
Which is true given the linear equation below?
3x+4y=4
Answer:
y= −3/4x + 1
x= -4/3y + 4/3
Step-by-step explanation:
Let's solve for y.
3x+4y=4
Step 1: Add -3x to both sides.
3x+4y+−3x=4+−3x
4y=−3x+4
Step 2: Divide both sides by 4.
4y4=−3x+44
y=−34x+1
___________
Let's solve for x.
3x+4y=4
Step 1: Add -4y to both sides.
3x+4y+−4y=4+−4y
3x=−4y+4
Step 2: Divide both sides by 3.
3x3=−4y+43
x= -4/3y + 4/3
math papa algebra caculator, thank me later
Ricardo and John start swimming from the same location. Ricardo starts 15 seconds before John and
swims at a rate of 3 feet per second. John swims at a rate of 4 feet per second in the same direction as
Ricardo. Which equation could you solve to find how long it will take John to catch up with Ricardo?
Does anyone know the answer?
Answer:
t = (t₁ · vr)/ (vj - vr) = 45 seconds
Step-by-step explanation:
Given:
Initial time from Ricardo t₁ = 15 seconds, Ricardo's velocity (speed) vr = 3 ft/s,
John's velocity (speed) vj = 4 ft/s
Requested time when John catch Ricardo t = ?
During 15 seconds, Ricardo moved away
S = vr · t₁ = 3 ft/s · 15 s = 45 feet.
From that moment, the same time runs for both of them
Ricardo's path is S₁ = vr · t and John's path is S₂ = vj · t
S + S₁ = S₂ => S = S₂ - S₁ => 45 = vj · t - vr · t
When we draw t we get:
t ( vj - vr) = 45 t = 45 / (vj - vr) = 45 / (4 - 3) = 45 / 1 = 45 seconds
t = 45 seconds
S₁ = vr · t = 3 · 45 = 135 ft
S₂ = vj · t = 4 · 45 = 180 ft
The sum of the measures of angle P and angle Q in 180°. The measure of angle P is (4x + 12)°. The measure of angle Q is (2x - 24)°. What is the value of x?
Answer:
32
Step-by-step explanation:
Given
m<P = 4x+12
m<Q = 2x-24
If the sum of P and Q is 180, then;
4x+ 12 + 2x - 24 = 180
4x+2x+12-24 = 180
6x - 12 = 180
6x = 180+12
6x = 192
x = 192/6
x = 32
Hence the value of x is 32
(trigonometry) solve for x
Answer:
x around 53.7
Step-by-step explanation:
We use cosine^-1 to solve for x
In the calculator put in cos^-1 (16/27)
It takes 0.750.75 cups of sugar to make a batch of lemon cookies. I have 5.55.5 cups of sugar. How many batches can I make?
What is the value of this expression? 27+4×(8−4) Enter your answer in the box.
Answer:
43.
Step-by-step explanation:
Follow PEMDAS (Parentheses, exponents, multiply, divide, add, subtract). First you do 8-4 which is 4, then you multiply 4 by 4 which is 16 since you multiply next, then you add 27 to 16 which then gets you to 43.
The dimensions of a rectangular plot of land are
28.3 m by 53.7 m. Find
(i) the perimeter of the land, correct to the nearest
10 m,
(ii) the area of grass needed to fill up the entire
plot of land, correct to the nearest 100 m².
40 POINTS
Pleaseee help, I need to turn this in soon.
Answer:
The Pythagorean identity [tex]\sin^2\theta+\cos^2\theta=1[/tex] comes from Pythagorean theorem and the unit circle. In the unit circle, for any point on the circle, there y-coordinate represents the sine of the angle and the x-coordinate represents the cosine of the angle. For any angle [tex]\theta[/tex], we can create a right triangle using the x-coordinate and y-coordinate as legs of the triangle. The hypotenuse of this triangle would be the radius of the unit circle, which is given as 1.
The Pythagorean theorem states that in all right triangles, the following must be true:
[tex]a^2+b^2=c^2[/tex], where [tex]c[/tex] is the hypotenuse of the triangle and [tex]a[/tex] and [tex]b[/tex] are two legs of the triangle.
Therefore, we have the following equation:
[tex](\sin\theta)^2+(\cos\theta)^2=1^2,\\\boxed{\sin^2\theta+\cos^2\theta=1}[/tex]
The Pythagorean identity comes from Pythagorean theorem and the unit circle. In the unit circle, for any point on the circle, there y-coordinate represents the sine of the angle and the x-coordinate represents the cosine of the angle. For any angle , we can create a right triangle using the x-coordinate and y-coordinate as legs of the triangle. The hypotenuse of this triangle would be the radius of the unit circle, which is given as 1.
The Pythagorean theorem states that in all right triangles, the following must be true:
, where is the hypotenuse of the triangle and and are two legs of the triangle.
Therefore, we have the following equation:
Triangle JKL has the coordinates listed: J (5, -8), K (10, -8), L (7, -4) Where is J’ after a reflection over the y-axis?
The Rule for reflection over the y-axis is given by (x,y) to (-x,y).
so, J' (-10,-8)
✐----------------------
hope it helps...
have a great day!
Answer:
J' Coordinates = (-5, -8)
Step-by-step explanation:
We know that in the coordinate point J (5, -8);
x-value = 5
y-value = -8
In order to reflect J over the y-axis, we will keep the y-value of the coordinate same and then reverse the x-value to it's opposite, Therefore the J' coordinates would be;
x-value = -5
y-value = -8
J' Coordinates = (-5, -8)
Hope this helps!
Simplify 12(A - B).
I don’t understand?
Answer:
12A-12B
Step-by-step explanation:
In the parentheses, it is A-B. Using the distributive property you break up the parentheses then you have 12xA - 12xB. This is known as the "Santa Hat". The lines mean that you do each function to each constant, variable, or term.
Evaluate -4,550 divided by 7
Answer: -650
Step-by-step explanation:
I hope this helps :))
What us the range of the data below?
a die has six faces numbered 1 to 6 .on a single roll of the die ,find the probability of getting 10
Answer:
3/36
Step-by-step explanation:
Please help so I don’t fail!!
Solve each equation by completing the square
1)b^2-4b-16=-7
2) 5v^2+20v-54=6
Answer:
b = 2 + sqrt13, 2 - sqrt13
v = 2, - 6
Sorry if you need to show work it's really hard to type it out since I don't have the symbols
What is the domain of the absolute value function below?
-2-
1 2 3 4 5 6 7 8 x
O XS-4
0 x 22
0 (-09-4)
Remember
Domain is set of x valuesRange is set of y valuesHere
there is no starting or ending point
so domain is
(-oo,oo)
The domain of the absolute value function given is (-∞, +∞).
What is Function?A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.
Domain of a function is the set of all the input values and the range of the function is the set of all the output values.
Given is an absolute value function.
Absolute value functions are functions which has the absolute value symbols in the expression.
From the graph, we can see that the value of x moves from negative infinity to infinity.
Domain of the function is the set of input values which is the set of values of x.
So the domain is (-∞, +∞).
Hence the domain is (-∞, +∞).
Learn more about Absolute Value Function here :
https://brainly.com/question/23777839
#SPJ7