Answer:
Step-by-step explanation:
let the horizontal distance be x
(17.8-1.5)/x = tan 38
or x = 16.3/tan38
or x = 20.863
2 cos(3x+40°)-1=0
Thanks for your question
Step-by-step explanation:
gjfjdjjfu from Florida for Christmas and technology center and technology and technology
Today, 6 friends went out for lunch. Their total bill was $27.60, including tax and gratuity. They decided to split the bill equally and each paid with a $10 bill. How much money will each person get back?
Step-by-step explanation:
Right, okay, so this is a bit of a weird one. Let's go step by step.
"Today, 6 friends went out for lunch." = The number 6 is gonna be in our equation somewhere.
"Their total bill was $27.60" = so is the number 27.6
"They decided to split the bill equally" = 27.6 "split equally" (aka divided by) 6 friends is 4.6
"each paid with a $10 bill" = This is where it gets a lil weird. So, if they divided the bill among them, none of their amounts are gonna be anywhere near ten dollars. This is one of those questions that wouldn't really happen in real life. People would probably use fives instead, but whatever. So a number we'll be using for something is 10.
"How much money will each person get back?" = So we have to find the amount they all paid (10) minus the amount each one had to pay (4.6).
To put it all into a full equation...
10 - ( 27.6 / 6 )
Divide.
10 - 4.6
Subtract.
5.4
Put back into money form.
$5.40
Answer:
Each person will get back $5.40.
Answer:
if each paid a $10 bill, in total they paid $60 (cuz 10 x 6)
60 - 27.60 = 32.4
32.4/6 = 5.4 (divide the change between 6 people)
Each person will get $5.40 back.
hope it helps :)
For the right triangle shown, use the trig functions to find the value of x. Round your answer to the nearest tenth
Answer:
28.3
Step-by-step explanation:
Use the Tangent
Tan(theta) = opposite over adjacent.
opposite (defined as the line that does not make up the angle) = 17
Theta = 31
adjacent (one of the lines making up the angle) = x
Tan(31) = 0.6009
Tan(31) = 17/x Multiply both sides by x
x*tan(31) = 17 Divide by tan 31
x = 17/tan31
x = 17 / 0.6009
x = 28.29
Rounded to the nearest 1/10 is 28.3
in the triangle below which of the following best describes dh
PLS HELP MEEE I NEED HELP TO PASS PYTHAGOREAN THEOREM
Answer:
b=12
Step-by-step explanation:
b^2+35^2=37^2
b^2+1225=1369
b^2=144
b=12,-12
Lengths can't be negative, so b=12
Answer:
b=12
Step-by-step explanation:
The Pythagorean theorem is
a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse
35^2 + b^2 = 37^2
1225+b^2 =1369
b^2 =1369-1225
b^2 = 144
Taking the square root of each side
sqrt(b^2) = sqrt(144)
b=12
which algebraic expression represents this word description the quotient of six and the sum of a number and eight
plzz any help please
Answer:
9
Step-by-step explanation:
If the sine of an angle is equal to the cosine of an angle, that means that the sides adjacent and opposite to that angle are equal. One triangle that has two equal sides is an isosceles triangle. We can set this triangle to be a 45-45-90 degree triangle, which means that the angle would be 45.
Now, we have to find the value of
[tex]4\tan^2(45)[/tex]
and
[tex]5\tan(45)[/tex]
The tangent of 45 is 1, so 1 squared times 4 is 4.
We have [tex]4\tan^2(45) = 4[/tex].
Again, the tangent of 45 is 1, and 1 times 5 is 5.
We have [tex]5\tan(45) = 5[/tex]
5 + 4 = 9
Whose perfect square should be added to the sum of the greatest three digit prime number and the smallest two-digit prime number, so that the resultant number is perfect square of 32? pls give me ans pls pls pls
Answer:
Step-by-step explanation:
Let y is the required number.
a/c to question,
y² + greatest three digit prime number + smallest two digit prime number = 32²
we know, greatest three digit prime number = 997
smallest two digit prime number = 11
now, y² + 997 + 11 = 32²
or, y² + 1008 = 1024
or, y² = 1024 - 1008
or, y² = 16
or, y = 4
hence, required number number is one digit even number e.g., y = 4
Hope this answer helps you :)
Have a great day
Mark brainliest
Which angle is coterminal to a 175 degree angle?
Answer:
Step-by-step explanation:
-185
How many numbers of the set {1, 2, 3, 4, . . . , 297, 298, 299, 300} are multiples of 10 but not multiples of 15?
Answer:
I get 20
Step-by-step explanation:
While there probably is some logical way to go about this I just did it in excel
screenshot below
Answer:
20
Step-by-step explanation:
10
20
40
50
70
80
100
110
130
140
160
170
190
200
220
230
250
260
280
290
A graph is shown.
How do you determine if this is a function or not? Is this a function. Help please
Answer:
Not a function
Step-by-step explanation:
we see on this graph,
(1,2) and (1,7)
we have two of the same x points, when put on a graph, that would be having 2 of the same inputs.
which always means it's not a function.
What is the range of f(x)?
{xl-2
{x|-2
{yl-5
{yl-5 sy<-1}
Answer:
-5≤y≤-1
Step-by-step explanation:
The range is the values that y takes
The smallest value of y is -5 and the largest value of y is -1
-5≤y≤-1
Find the equation of the line that is perpendicular to y=1/6x+3
and contains the point (-3,23).
y = [?]x + [?]
Answer:
y = -6x + 6
Step-by-step explanation:
The general equation of a line is
y = mx + b
where m is the slope and b is the y-intercept
The slope in the first equation is 1/6
Mathematically, when two lines are perpendicular, the product of their slopes is -1
1/6 * m2 = -1
m2 = -6
So we have the equation as;
y-y1 = m(x-x1)
y-23 = -6(x + 3)
y = -6x -18 +23
y = -6x + 6
Which points are possible approximations for this system? Select two options.
Step-by-step explanation:
second: (2.2,-1.4)
third: (2.2,-1.35)
Step-by-step explanation:
hope it helps✨
pls answer this its a question from wootube
Answer:
Its -34 cuhcuhcuchuchcuh
Step-by-step explanation:
cuhcuhcuchucuhcuhcuhcuhcuchcuh
Jeanette ice cream shop sold 10 sundaes with nuts and 7 sundaes without nuts to the total number of sundaes
What is the volume, in terms of cubic inches, of a cone with a diameter of 8 inches and a height of 6 inches?
Answer: [tex]100.544\ in.^3[/tex]
Step-by-step explanation:
Given
Diameter of the cone [tex]d=8\ in.[/tex]
Height of the cone [tex]h=6\ in.[/tex]
Volume of the Cone is given by
[tex]\Rightarrow V=\dfrac{1}{12}\pi d^2h[/tex]
[tex]\Rightarrow V=\dfrac{1}{12}\times \pi\times 8^2\times 6\\\\\Rightarrow V=16\pi \\\Rightarrow V=100.544\ in.^3[/tex]
The volume of the cone is [tex]100.544\ in.^3[/tex]
The polygons in each pair are similar. find the missing side length
If both are similar ratio of sides will be same
[tex]\\ \sf\longmapsto \frac{x}{25} = \frac{7}{5} \\ \\ \sf\longmapsto 5x = 7 \times 25 \\ \\ \sf\longmapsto 5x = 175 \\ \\ \sf\longmapsto x = \frac{175}{5} \\ \\ \sf\longmapsto x = 35[/tex]
The function f is defined by f(x) = x^2 - 2x - 24. If f(x+3) = x^2 - kx - 21, what is the value of k?
Answer:
k = 4
Step-by-step explanation:
In the equation: x² - 2x - 24
Replace the x with x + 3
(x+3)² - 2(x+3) - 24
x² + 6x + 9 - 2x - 6 -24
Let's rearrange it
x² + 6x -2x - 24 + 9 - 6
x² - 4x - 21
f(x+3) = x² - 4x - 21
The equivalent value of k from the function is k = -4
What is a function rule?The function rule is the relationship between the input or domain and the output or range. A relation is a function if and only if there exists one value in the range for every domain value.
A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.
Given data ,
Let the function be represented as A
Now , the value of A is
f ( x ) = x² - 2x - 24
Let the second function be represented as B
Now , the value of B is
f ( x + 3 ) = x² - kx - 21
On simplifying , we get
f ( x + 3 ) = ( x + 3 )² - 2 ( x + 3 ) - 24
f ( x + 3 ) = x² + 6x + 9 - 2x - 6 - 24
f ( x + 3 ) = x² + 4x - 21
So , from the equations , we get
-kx = 4x
Divide by -x on both sides , we get
k = -4
Hence , the equation is k = -4
To learn more about function rule click :
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the angle of elevation to a nearby tree from a point of the ground is measured to be 39 degrees
Answer:
66.4
Step-by-step explanation:
tan(39)=x/82
x=tan(39)×82
x=66.4 (rounded to the nearest tenth)
Answered by GAUTHMATH
Five friends raced each other. Bill finished next to last. John finished behind Bill. Al finished after Clark and before Tony. Which friend finished third?
Answer:
Tony
Step-by-step explanation:
Chen I’d bringing fruit and veggies to serve at an afternoon meeting. He spends a total of $28.70 on 5 pints of cut veggies and 7 pints of cat fruit. The food cost is molded by the equation 5v + 7f = 28.70, where V represents the cost of 1 pint of cut veggies and F represents the cost of one pint of grapefruit. If the cost of each pint of fruit is $2.85, what is the approximate price of a pint of veggies? (round to the nearest cent, as needed)
Answer:
answer to that is A 1.75 per pint
Jessica is traveling at a speed of 60 miles per hour in her truck. After 4 hours, how far will she have traveled?
Answer:
240 miles
Step-by-step explanation:
60*4=240
Answer: 240
Step-by-step explanation: If she is traveling 60 miles per hour you can multiply it by 4, which is 240.
Ai giải giúp mình giải bài này với
[tex]\sqrt{36x^{2} -60x+25} =4[/tex]
Answer:
x=[tex]\frac{3}{2}[/tex] and x=[tex]\frac{1}{6}[/tex]
Step-by-step explanation:
[tex]\sqrt{36x^2-60x+25}=4[/tex]
=> [tex]\sqrt{36x^2-60x+25}^{2} =4^{2}[/tex]
=> [tex]{36x^2-60x+25}=16[/tex]
=> [tex]36x^2-60x+25-16=16-16[/tex]
=> [tex]36x^2-60x+9=0[/tex]
=> [tex]x_{1,\:2}=\frac{-\left(-60\right)\pm \sqrt{\left(-60\right)^2-4\cdot \:36\cdot \:9}}{2\cdot \:36}\\\\\sqrt{\left(-60\right)^2-4\cdot \:36\cdot \:9}=48[/tex]
=> [tex]x_{1,\:2}=\frac{-\left(-60\right)\pm \:48}{2\cdot \:36}[/tex]
=>[tex]x_{1} = \frac{-\left(-60\right)+48}{2\cdot \:36}\\\\x_{1}=\frac{60+48}{2\cdot \:36}\\\\x_{1}=\frac{108}{72} \\\\\\x_{1}=\frac{3}{2}\\[/tex]
=> [tex]x_{2}=\frac{-\left(-60\right)-48}{2\cdot \:36}\\\\x_{2} =\frac{60-48}{2\cdot \:36}\\\\x_{2}=\frac{12}{2\cdot \:36}\\\\\x_{2}=\frac{12}{72}\\\\x_{2}=\frac{1}{6}[/tex]
Find the slope of the line graphed below.
Answer:
Y =1.2X +-1.6
Step-by-step explanation:
x1 y1 x2 y2
3 2 -2 -4
(Y2-Y1) (-4)-(2)= -6 ΔY -6
(X2-X1) (-2)-(3)= -5 ΔX -5
slope= 1 1/5
B= -1 3/5
Y =1.2X +-1.6
The line plot below shows the amount of time Jason spent practicing
his soccer skills on six separate days. How much time did he spend on
all six days?
х
X
х
+
3
х
+
1
х
1
Times (hour)
Please help me I will give brainliest!!!!
The total amount of time spent on practicing is 3 minutes
To obtain the total practice time, we multiply the time taken by its respective frequency as seen on the plot.
From the plot:
([tex](1 * 0) + (1 * 1/4) + (2 * 1/2) + (1 * 3/4) + (1 * 1)\\(0 + 1/4 + 1 + 3/4 + 1)\\= 3[/tex]
Hence, the total amount of time spent is 3 minutes as obtained from the dot plot given.
Learn more: https://brainly.com/question/16246931
Which of the following is equivalent to:
-(3x + 2)
Select one:
a.
-3x + 2
b.
-6x
c.
-5x
d.
-3x - 2
Answer:
D is the answer
-(3x + 2)
d) -3x-2
Answer:
d
Step-by-step explanation:
Given
- (3x + 2) which is equivalent to
- 1 (3x + 2) ← multiply each term in the parenthesis by - 1
= - 3x - 2 → d
1+1×2+3+5×8÷3+2/3×8+1+1+4=?
Answer:
92/3
Step-by-step explanation:
PEMDAS
(Parentheses Exponents Multiplication Division Addition Subtraction)
No Parentheses
No Exponents
Multiplication:
1+ 2 +3+ 40 ÷3+ 16/3 +1+1+4
Division:
1+2+3+ 40/3 +16/3+1+1+4
Addition:
12 + 56/3 = 92/3
No Subtraction
**Assuming "/" indicates a fraction and "÷" indicates division (2/3 × 8 is different than 2 ÷ 3 × 8)
giving the funtions f(x)=2x-5 and g(x)=3x2=2 perform the indicated operation
Answer:3165
Step-by-step explanation:
What is the value of x in the equation 1/5x - 2/3y
=
30, when y = 15?
Answer:
x = 200
Step-by-step explanation:
Plug in 15 as y into the equation and solve for x:
1/5x - 2/3y = 30
1/5x - 2/3(15) = 30
1/5x - 10 = 30
1/5x = 40
x = 200
So, when y = 15, x = 200
