Answer:
Check below :)
Step-by-step explanation:
If you are asked to find a side of a triangle using a given side and an angle. You should check if it is a right-angled triangle, if it is then you can use the SOH, CAH, TOA which uses the formulae as shown:
sinΘ= [tex]\frac{opposite}{hypotenuse}[/tex]
cosΘ= [tex]\frac{adjacent}{hypotenuse}[/tex]
tanΘ= [tex]\frac{opposite}{adjacent}[/tex]
(Search them online for detailed explanation about trigonometry on right-angled triangles)
If it is not right-angled triangles, you need to double-check if there is another side given or angle given to use the sine rule or cosine rule
Sine rule: 2 angles and opposite side/ 2 sides and opposite angle
Cosine rule: involves 3 sides and one angle
Two airplanes leave an airport at the same time and travel in opposite directions. One plane travels 68 km/h faster than the other. If the two planes are 5052 kilometers apart after 3 hours, what is the rate of each plane?
Step-by-step explanation:
the slower plane travels x km in 3 hours.
the faster plane travels x + 3×68 = x + 204 km in 3 hours.
x + x + 204 = 5052 km
2x = 4848 km
x = 2424 km (in 3 hours).
so, the slower plane's speed is 808 km/h.
the faster plane's speed is 808 + 68 = 876 km/h.
Can you help this is a lot. I don't really get it
Answer:
country is 15 30 45 60 75 90 105 120 135 150 pop is 5.75 11.5 17.25 23 28.75 34.5 40.25 46 51.75 57.5
why you take my profile picture hello.....
24 feet/second to inches/minute
Answer:
4.8 inches a minute is probably the answer
Answer:
4.8 inches a minute
Step-by-step explanation:
Hi! Kindly give me the formula for finding the percentage of profit.
Profit and selling price are given. Thank you in advance!
When the selling price and the cost price of a product is given, the profit can be calculated using the formula, Profit = Selling Price - Cost Price. After this, the profit percentage formula that is used is, Profit percentage = (Profit/Cost Price) × 100.
Step-by-step explanation:
Given:
Profit P and selling price SpFind cost price Cp first:
Cp = Sp - PTo find the percentage profit divide the profit by the cost price and multiply by 100%:
P% = P/(Sp - P)*100%find an ordered pair that represents the vector from (-3.7, 2) to (-4, -5)
There are 10 pens in a box. There are x red pens in the box. All the other pens are blue. Jack takes at random two pens from the box. Find an expression, in terms of x, for the probability that Jack takes one pen of each colour. Give your answer in its simplest form.
The probability that one of each color is selected is [tex]\frac{10x - x^2}{45}[/tex]
ProbabilitiesThe probability of an event is the chances of the said event
The given parameters are:
Total = 10Red = xBlue = 10 - xCalculating the required probabilityThe probability that one of each color is selected is calculated as follows:
[tex]P = P(Blue) \times P(Red) + P(Red) \times P(Blue)[/tex]
So, we have:
[tex]P = \frac{10 - x}{10} \times \frac{x}{9} + \frac{x}{10} \times \frac{10 - x}{9}[/tex]
This gives
[tex]P = \frac{x(10 - x)}{90} +\frac{x(10 - x)}{90}[/tex]
Take LCM
[tex]P = \frac{2x(10 - x)}{90}[/tex]
Simplify the above expression
[tex]P = \frac{x(10 - x)}{45}[/tex]
Expand
[tex]P = \frac{10x - x^2}{45}[/tex]
Hence, the probability that one of each color is selected is [tex]P = \frac{10x - x^2}{45}[/tex]
Read more about probabilities at:
https://brainly.com/question/7965468
What is the simplified form of the following expression? 5 StartRoot 8 EndRoot minus StartRoot 18 EndRoot minus 2 StartRoot 2 EndRoot 2 StartRoot 2 EndRoot 5 StartRoot 2 EndRoot 9 StartRoot 2 EndRoot 15 StartRoot 2 EndRoot.
The simplified form of the given expression is [tex]5\sqrt{2}[/tex].
Given expression,
[tex]5\sqrt{8} - \sqrt{18} - 2 \sqrt{2}[/tex].
We have to simplify the above expression.
So, [tex]5\sqrt{8} - \sqrt{18} - 2 \sqrt{2}\\[/tex]
First solve for the square root,
[tex]5\sqrt{2\times2\times2} -\sqrt{3\times3\times2} -2\sqrt{2} \\\\10\sqrt{2} -3\sqrt{2}-2\sqrt{2} \\[/tex]
[tex]7\sqrt{2} -2\sqrt{2}[/tex]
[tex]5\sqrt{2}[/tex]
Hence the simplified form of the given expression is [tex]5\sqrt{2}[/tex].
For more details follow the link:
https://brainly.com/question/2719671
Can you calculate problems involving percent? pls help i WILL make as brainlyst pls i dont wanna fail
Answer:
45 is 150% of 30.
Step-by-step explanation:
To find what percent of 30 is 45 first we must turn it into a fraction and simplify.
fraction form: 45/30
simplified fraction form: 3/2
now to find percent you have to put a number over one hundred.
3/2 = ?/100
Right now our denominator is 2. By what number can we multiply 2 to get to 100? The answer is 50.
Now that we have multiplied the denominator by 50, we also have to multiply the numerator (3) by fifty. 3 x 50 = 150
so now we put the new numerator and denominator together and get 150/100
The answer is 150%
f(x)=1/2(x-2)(x+3)^3
Answer:y=
1
2
x4+
7
2
x3+
9
2
x2+
−27
2
x−27
Step-by-step explanation:
Find the slope of the line below. Enter your answer as a fraction or decimal.
Use a slash mark (/) as the fraction bar if necessary.
5
|(2, -1) 5
(-2,-3)
2
Answer:
The slope is 2/4 or 1/2
Step-by-step explanation:
Find the inverse function. f(x) = Vx - 1+4
Answer:
f^-1(v)=v/x-3/x
Step-by-step explanation:
The inverse of the function f(x) = [tex]\sqrt[3]{x-1} + 4[/tex] Is f⁻¹(x) = (x - 4)³ + 1.
What is a function?Each element of X receives exactly one element of Y when a function from one set to the other is used. The sets X and Y are collectively referred to as the function's domain and co-domain, respectively.
Given:
f(x) = [tex]\sqrt[3]{x-1} + 4[/tex]
y = [tex]\sqrt[3]{x-1} + 4[/tex]
Calculate the inverse of the function as shown below,
Replace x with y,
x = [tex]\sqrt[3]{y-1} + 4[/tex]
x - 4 = [tex]\sqrt[3]{y- 1}[/tex]
Cube both sides,
(x - 4)³ = y - 1
y = (x - 4)³ + 1
Thus, f⁻¹(x) = (x - 4)³ + 1
To know more about function:
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Simplify the variable expression below as much as possible.
X + 8 .z
Answer here
Answer:
It will stay at x + 8
Step-by-step explanation:
What is the gradient of the graph shown?
Give your answer in its simplest form.
Answer:
2
Step-by-step explanation:
Choose 2 points on the graph: (0, -2) and (1, 0)
[tex]\boxed{ gradient = \frac{y _{1} - y_2 }{x_1 - x_2} }[/tex]
Gradient of graph
[tex] = \frac{0 - ( - 2)}{ 1 - 0} [/tex]
[tex] = \frac{0 + 2}{1} [/tex]
= 2
Answer:hope it helps!
Step-by-step explanation:
cannot be bothered
answer this pleaseeeee
Answer:
Each goat gets 3 carrots and there are 4 extra carrots left
Step-by-step explanation:
5*3=15
OR: If you wanted to do it exact you give each goat 3 carrot's and an 1/8th of one and you'd have no extra carrots left.
5*3.8=19
Answer:
the answer is simple 3 remainder of 4
Step-by-step explanation:
so he had 5 goats and 19 carrots
19/5=3.8 which mean 3 and 4 left
PLS HELP WILL MARK YOU BRAINLIEST!!
No fake answers pls
Answer:
See belowStep-by-step explanation:
1)
x + 5 = 12, subtract 5 from both sides
x = 7
Subtraction property of equality
a = ba - c = b - c2)
x + y = 20 and y = 5, substitute 5 into first equation
x + 5 = 20
Substitution property of equality
a + b = c and b = da + d = c3)
2x - 3 = 11, interchange the sides of equality
11 = 2x - 3
Symmetric property of equality
a = bb = aAnswer:
1. if x + 5 = 12, then x = 7
:Subtraction property of equality
2. If x + y = 20, and y = 5, then x + 5 = 20.
:Substitution property of equality
3. If 2x3 = 11, then 11 = 2x - 3.
:Symmetric property of equality
A pole 12 feet tall is used to support a guy wire for a tower, which runs from the tower to a metal stake in the ground. After placing the pole, Moussa measures the distance from the pole to the stake and from the pole to the tower. Find the length of the guy wire, to the nearest foot.
Answer: The answer is 189 ft.
DONT ASNWER IF YOU DON"T KNOW THE ANSWER
Are the two triangles similar? Why or why not?
f(x) = 3/4 * x - 7 . Find x if f(x) = - 1 . PLEASE tell how to solve it bc that what i dont know, i dont want just the answer
Answer:
[tex]x=-8[/tex] if [tex]f(x)=-1[/tex]
Step-by-step explanation:
Given --> [tex]f(x)=-\frac{3}{4}x-7[/tex]
Substitute [tex]f(x)=-1[/tex] into the equation and solve for [tex]x[/tex]:
[tex]-1=-\frac{3}{4}x-7[/tex]
[tex]6=-\frac{3}{4}x[/tex]
[tex]24=-3x[/tex]
[tex]-8=x[/tex]
So, when [tex]f(x)=-1,x=-8[/tex]
Write the equation of the line that is perpendicular to y=3x-6 and passes through the point
x, y
(2,0)
Perpendicular is the negative reciprocal so the slope is -1/3
Need to know b and the full equation
With work please. Thank you!
Answer:
y=-1/3x+2/3 (please mark brainliest)
Step-by-step explanation:
start with y=3x+6
you can get the slope of the perpendicular line by dividing the slope by -1,
so the slope of the new line is -1/3.
using the point and the slope of the new line, we can put it into point-slope form:
y-y₁=m(x-x₁)
y-0=-1/3(x-2)
simplify:
y=-1/3x+2/3
this is the final equation in the form y=mx+b
Can someone plz help me? :(
the answer to your question is B.) 12x
Please help, I dont know how to get the other angle measurement.
Answer:
Angle E is 88º
Step-by-step explanation:
If angle A is 46, then angle B is 46. Angle C in triangle ABC then has to be 88. Because of this, angle C in triangle CDE has to be 88 as well. Hence, E is 88.
I need some help :(
A)4
B)2.9
C)3.8
Answer: C
Step-by-step explanation:
Where did this student make the mistake when solving this inequality?
2x + 4 > 5x - 5
-2x -2x
4 < 3x - 5
+5 +5
9 < 3x
/3 /3 (divide by 3)
3 < x
options:
When subtracting the same value from both sides you don't need to switch the inequality sign
There is no mistake, it was solved correctly
You don't subtract 2x from each side, you add 2x to each side
When dividing by 3 you should switch the inequality sign
Answer:
You don't subtract 2x from each side, you add 2x to each side
can someone help me for this?
Answer:
500000N=2m
x. =6m
cross multiply, it'll be
6×50000÷2
=150,000N
Another company will lend Maya’s older sister $4,000. Every month, she will pay $11.88 in interest. What is the interest rate, rounded to the nearest tenth of a percent, for 1 year.
Answer:
120
Step-by-step explanation:
$11.88 rounded to the nearest tenth is 10 and there are 12 months in one year so 10 x 12 = 120
Simplify this question
[tex]\\ \sf\longmapsto √64+√-81-i^2[/tex]
[tex]\\ \sf\longmapsto 8+√81i-(-1)[/tex]
[tex]\\ \sf\longmapsto 8+9i+1[/tex]
[tex]\\ \sf\longmapsto 9i+9[/tex]
Each time Bobby rides the JUTC bus, money will be deducted from the value of his card. He rode the bus 5 times and his card was charged $100. What integer best represents the the amount by which the balance of the card changed each time it was used?
Possible Answers
A. -$500
B. $20
C. -$20
D. $500
Answer:
b
Step-by-step explanation:
100/5= 20
he was charhed 20
A moneylender’s income decreased by $60 When the rate of interest dropped from 8% per annum to 7 3/4 % per annum . What was his principal?
Answer:
$24,000
Step-by-step explanation:
The difference for principal amount P is ...
(8% × P) - (7 3/4% × P) = $60
0.0025P = $60
P = $24,000 . . . . . multiply by 400
His principal was $24,000.
i need help on this asap
Answer:
c
Step-by-step explanation:
I have no idea how to do this. Please help.
Answer:
Area is 5 cm and perimeter is 12 cm
Step-by-step explanation:
Area: top left sqare:
1cm * 1cm = 1 cm
bottom rectangle:
1cm * 3 cm = 3 cm
top right square:
1cm * 1cm = 1 cm
Perimeter:
1 cm + 2 cm+ 3 cm+ 2 cm+ 1 cm + 1 cm + 1cm + 1cm = 12 cm