Answer:
2 sin x + √3 = 0
2sinx=-√3
sinx=-√3/2
x=sin-¹(-√3/2)(sin-¹ means inverse of sin)
x=-60
look at screenshot and answer question
Answer:
24x+32
Step-by-step explanation:
=(3x+4)(8)
=(3x)(8)+(4)(8)
=24x+32
What is the missing value:
[tex]\frac{16}{1}[/tex] =[tex]\frac{x}{2 \frac{1}{2} }[/tex]
Answer:
[tex] x = 40 [/tex]
Step-by-step explanation:
[tex] \dfrac{16}{1} = \dfrac{x}{2 \frac{1}{2}} [/tex]
Convert the mixed numeral into a fraction.
[tex] \dfrac{16}{1} = \dfrac{x}{\frac{5}{2}} [/tex]
Multiply both sides by 5/2.
[tex] \dfrac{5}{2} \times \dfrac{16}{1} = x [/tex]
[tex] x = \dfrac{80}{2} [/tex]
[tex] x = 40 [/tex]
Jackson and his sister ran a hose from a bucket into their swimming pool. The hose sprays 1/3 of a gallon from the bucket every second. The bucket started with 32 gallons of water. How long will it take to empty the bucket?
Answer:
96 seconds are taken to empty the bucket.
Step-by-step explanation:
According to this question, Jackson and his sister are spraying from the bucket from the bucket at constant rate. Dimensionally speaking, discharge time ([tex]t[/tex]), measured in seconds, is the ratio of volume of bucket ([tex]V[/tex]), measured in gallons, to the volume flow from hose ([tex]\dot V[/tex]), measured in gallons per second. That is:
[tex]t = \frac{V}{\dot V}[/tex] (1)
If we know that [tex]V = 32\,gal[/tex] and [tex]\dot V = \frac{1}{3}\,\frac{gal}{s}[/tex], then discharge time is:
[tex]t = \frac{32\,gal}{\frac{1}{3}\,\frac{gal}{s} }[/tex]
[tex]t = 96\,s[/tex]
96 seconds are taken to empty the bucket.
Does anyone know???? (im writing this to get to 20 letters)
Answer:
x > 17
Step-by-step explanation:
Given equation:
2(x - 6) + 7 > 3x - 4(x + 8)
2x - 12 + 7 > 3x - 4x + 32 ^ Distributive Property
2x - 19 > -1x + 32 ^ Combine like-terms
3x - 19 > 32
3x > 51
x > 17
GRAPH:
17
O-------------------->
X is anywhere after O
Two of the desserts are sugar/free. Three of the drinks are sugar-free. A meal deal combination is selected at random. Work out the probability that both the desserts and the drink are sugar free. Give your answer as a fraction
Answer: 8/15
Step-by-step explanation:
You need part a of the question to answer this question correctly. In part a of the question it is said there is 6 sandwiches, 3 desserts and 5 drinks.
Two of the desserts are sugar free (2/3).
Four of the drinks are sugar free (4/5)
Times these fractions together, 2/3x4/5= 8/15.
Hope this helps :)
The probability of selecting a sugar free dessert and drink is 2/5
Number of sandwiches = 6
Number of dessert = 3
Number of drinks = 5
Sugar free drinks = 3
Sugar free dessert = 2
Recall :
Probability = required outcome / Total possible outcomes
P(both dessert and drink are sugar free) :
(sugar free dessert) × p(sugar free drink)
(2 /3) × (3 / 5) = 6/15 = 2 / 5
Hence, the probability of selecting a sugar free dessert and drink is 2/5
Learn more : https://brainly.com/question/18153040
PLZ HELP (MUST BE 1000% SURE)
Estimate a 15% tip on a dinner bill of $67.32 by first rounding the bill amount to the nearest ten dollars.
80^2 - 45^2 = a^2 - b^2
ans pls in working, thnx in advance
Answer:
[tex]{a}^{2} - {b}^{2}= {(80)}^{2} -{(45)}^{2} \\(a + b)(a - b) = (80 + 45)(80 - 45) \\ = 125 \times 35 = \boxed{ 4375}✓[/tex]
4375 is the right answer.Two ordered pairs that would form a direct variation
Answer: Yes, it is a direct variation. If the ordered pairs form a direct variation, the rate of change is constant and the ratio of y over x is constant.
Step-by-step explanation:
Index form
Need help with this
Answer:
x^3y^2
there are 3 X multiplied together and 2 y multiplied together
i need help with this problem -2.75 minus 72.9 plus .09 what does it equal
Answer:
-75.56
Step-by-step explanation:
If you subtract -2.75 from 72.9 you will get 75.65 and if you add up 75.65 + .09 you will get -75.56.
Your welcome!
What is the slope of the graph?
Answer:
The slope of the graph is 10.
Find the quotient.
(12x2 - 10x-12) = (3x + 2)
What is the distance from (6,0) to (8,0)?
Answer:
The distance should be 10 I believe
If 20 is 40% of a value,what is that value
Answer:
50, 20 is 40 %
to get from 40 % to 100% you multiply by 2.5
20 times 2.5 is 50
50 is 100%
Step-by-step explanation:
hope this helps have a good day :) ❤
Salma spend $14 on fruit at the grocery store. She spent a total of $40 at the store. What percentage of the total did she spend on fruit
Answer:
5.6% sorry if im wrong i tried
Step-by-step explanation:
40/100=0.4
0.4x14=5.6
In ΔKLM, l = 660 cm, ∠L=107° and ∠M=18°. Find the length of k, to the nearest 10th of a centimeter.
Answer:
565.3 cm
Step-by-step explanation:
A triangle is a polygon with three sides and three angles. The types of triangles are scalene triangle, equilateral triangle, right angled triangle and obtuse triangle.
Sine rule states that given a triangle with sides a, b, c and their corresponding angles opposite to the sides as A, B, C. Then:
[tex]\frac{a}{sinA} =\frac{b}{sinB} =\frac{c}{sinC}[/tex]
In triangle KLM:
∠K + ∠L + ∠M = 180° (sum of angles in a triangle)
∠K + 107 + 18 = 180
∠K + 125 = 180
∠K = 55°
We can find the length of k using sine rule:
[tex]\frac{l}{sinL}=\frac{k}{sinK} \\\\substituting:\\\\\frac{660}{sin(107)}=\frac{k}{sin(55)} \\\\k=\frac{660}{sin(107)}*sin(55)\\\\k=565.3\ cm\\[/tex]
What is the inverse of the function f(x) = 4x + 8?
O h(x) = 1/4x - 2
O h(x) = 1/4x + 2
O h(x) = 1/2x - 2
O h(x) = 1/2x + 2
Not drawn
accurately
AB is parallel to CD.
LMN and PMQ are straight lines.
MQ = MN
B
Work out the value of x. *
(3 Points)
Diagram not drawn accurately.
-D
The value must be a number
so first u want to get a ruler to measure each sides, there gonna seem big at first so divide what you get on the ruler by 2 so its smaller, then do it for all sides.
Can anyone help me with this please.
Answer:
sketch them into a graph and use the vertical-line trick. If you don't know what this is, you see if two points pass through the same verticaly. If it does than it is NOT a function. If it doesn't it IS a function
If it does theStep-by-step explanation:
How much would you pay for a $135 chair that is marked up 65%?
Gcf of 5y^2, 10y, 30
Mrs. Wright makes cookies for the school bake sale. She uses the equation y = 0.50x to determine the cost, y, for x cookies. Which best represents the constant rate at which cookies are sold at the bake sale? The Answer choices are......
A.50 cookies per dollar
B. 5 cookies per dollar
C.$0.50 per cookie
D.$2 per cookie
Answer:
Option C : $0.50 per cookie is the right answer.
Step-by-step explanation:
Given that:
Equation used by Mrs. Wright is
y = 0.50x
Here,
y = cost of cookies
x = number of cookies
Thus,
Cost = Price per cookie * Number of cookies
On comparing
Cost per cookie = $0.50
Hence,
Option C : $0.50 per cookie is the right answer.
7 How long is it:
a) from 18:00 until 0945 the next day?
b) from 07:30 until 01 45 the next day?
c) from 18:50 until 09 20 the next day?
d) from 08 10 until 00 35 the next day?
Find the approximate perimeter of pentagon ABCDE plotted below.
A(-6,5)
B(-2,5)
C(6,0)
D(2,-4)
E(-6,1)
Answer: 32.5
Step-by-step explanation:
This is the answer on Khan Acadamy
Answer: 32.5
Step-by-step explanation: Khan Academy
A wallthat is 4 ft. 3in.tall is next to a tree. The figure shows the shadows that they cast. What is the height of the treein feet and inches? Show your work.
pythagoras 12cm + 17cm
Answer 433=20.81
Step-by-step explanation:
Factorise fully X^2 subtract 2x
Answer:
x(x-2)
Step-by-step explanation:
X^2-2x
x(x-2)
Could someone explain how to solve this
Answer:
y=\frac{4x}{5}-5
Step-by-step explanation:
linear equation
y=mx+b
We can see that when x=0 y= -5
THis means that b= -5 so we have
y=mx-5
We then know that when x=5 y= -1 so we have
-1=5m-5
Solve this and get m= 4/5
So we have
[tex]y=\frac{4x}{5}-5[/tex]
Answer:
f(x) = [tex]\frac{4}{5}[/tex]x - 5
Step-by-step explanation:
f(5) = -1 and f(0) = -5 mean that f has points at (5, -1) and (0, -5).
You can find the slope using the two points:
slope = [tex]\frac{-1 - (-5)}{5 - 0}[/tex] = [tex]\frac{4}{5}[/tex]
Then use point-slope form to make equation:
y - (-5) = [tex]\frac{4}{5}[/tex](x - 0)
y + 5 = [tex]\frac{4}{5}[/tex]x
y = [tex]\frac{4}{5}[/tex]x - 5
can someone help me i dont know what to do here please Explain and answer
Answer:
For the tickets sold collum, your going to do 1,2,3,4,5,6,7 and for the total revenue, your going to do 34.00 68.00 102.00 136.00 170.00 204.00 238.00
Step-by-step explanation:
Then for ordered pairs, you´re going to do 1, 34.00 2, 68.00 3, 102.00 and so on. Then you graph it, oh and K= 34.00
Please give this one a go! I need it ASAP. Thank you for your time
Answer:
Step-by-step explanation:
f(x)=2x+3
f(x)=0
2x+3=0
2x=-3
x=-3/2
x=-1.5
when x=0,y=f(x)=2(0)+3=3
so one point is (0,3)
when x=2,y=f(x)=2(2)+3=4+3=7
so point is (2,7)
Draw a line through (0,3) and (2,7)
see where it cuts x-axis.
it is the zero of the linear equation.
zero is x=-1.5