Step-by-step explanation:
comvert units into one unit
4ft 2in = 4 + 2/12 ft
3ft 4in = 3ft + 4/12ft
Know that the ratio of tan(x) = O / A
and set up proportions
[tex] \frac{ba}{ac} = \frac{h}{rt} [/tex]
solve for h
Answer:
Step-by-step explanation:
assuming that the triangles are similar, which I can't by what is shown in the picture, but I'm guessing that there are more instructions off screen , that say they are.
' = feet
" = inches
h / 20' = 4'-2" / 3'-4"
just use inches for this, it's easier
h / 240" = 50" / 40"
h = 240 ( 50 / 40 )
h = 300"
h = 25'
Please help, I’ll mark as brainliest!! The picture is above :)
Answer:
Isolate the variable by dividing each side by factors that don't contain the variable
Exact Form:
x = - 25/8 [tex]\frac{x}{y}[/tex]
Decimal Form:
x = -3.125
Mixed Number Form:
x = - 3/1/8 [tex]\frac{x}{y}[/tex]
Step-by-step explanation:
need help. asap. also need an explanation for the problem. :)
Answer:
124858
Step-by-step explanation:
The first 4 digits are simple, you multiply the first digit of the equation by the 2nd digit and then for the other 2 you multiply the first digit of the equation by the 3rd digit.
6 + 2 + 8
6 * 2 = 12
6 * 8 = 48
Then the last 2 digits are the sum of the products of the 1 and 2 and 1 and 3 and subtract it by the 2
12 + 48 = 60
60 - 2 = 58
Put them together
Please help, will give brainliest
Tom wants to order tickets online so that he and three of his friends can go to a waterpark. The cost of the tickets is $16.00 per person. There is also a $2.50 one-time service fee for ordering the tickets online. Write an expression in terms of n that represents the cost for ordering n tickets online.
Answer:
(16*n)+2.5=c
Step-by-step explanation:
c=cost
n=amount of friends.
Have a great weekend!! :)
Find the center, vertices, and foci of the ellipse with equation x squared divided by 9 plus y squared divided by 25
Answer:
[tex]C=(0,0)[/tex]
[tex]F=(\pm 4,0)[/tex]
[tex]V=(\pm 5,0)[/tex]
Step-by-step explanation:
From the question we are told that:
The Equation
[tex]\frac{x^2}{9}*\frac{y^2}{25}[/tex]
Generally
From the Equation
[tex]a^2=25[/tex]
[tex]a=5\\b^2=9\\b=3[/tex]
Therefore
[tex]c=\sqrt{a^2-b^2}[/tex]
[tex]c=\sqrt{25-9}[/tex]
[tex]c=\sqrt{16}[/tex]
[tex]c=4[/tex]
Generally the equation for center is mathematically given by
[tex]C=(h,k)[/tex]
[tex]C=(0,0)[/tex]
Generally the equation for foci is mathematically given by
[tex]F=(h,k \pm c,0)[/tex]
[tex]F=(\pm 4,0)[/tex]
Generally the equation for vertice is mathematically given by
[tex]V=(h,k \pm a,0)[/tex]
[tex]V=(\pm 5,0)[/tex]
what is the sign of -8+8
it is 0
there is no sign to -8 + 8
Answer:
Your answer would be 0
Step-by-step explanation:
if you were asking a question like, 8+8 your answer would be, 16. Correct me if I'm wrong. ☆
30 POINTS!!!!
HELP PLEASE!!!
Answer:
Step-by-step explanation:
Answer:
First Position: √22
Second Position: √19
Third Position: √21
Fourth Position: √18
A horizontal line passing through the point (-15,12)
Answer:
this is your answer........
The composite figure is made up of a cone and a half sphere. The radius of the half sphere is 6 cm. What is the volume of the composite figure? Use 3.14 for Pi. Round to the nearest hundredth.
A half sphere and cylinder. Both have a radius of 6 centimeters. The cone has a height of 12 centimeters.
Recall the formulas V = one-third B h and V = four-thirds pi r cubed
188.40 cubic centimeters
489.84 cubic centimeters
904.32 cubic centimeters
1,356.48 cubic centimeters
Given:
Radius of half sphere and cone = 6 cm
Height of cone = 12 cm
To find:
The volume of composite figure that is made up of a cone and a half sphere.
Solution:
Volume of half sphere is:
[tex]V_1=\dfrac{2}{3}\pi r^3[/tex]
Where r is the radius of the half sphere.
Putting [tex]\pi =3.14, r=6[/tex], we get
[tex]V_1=\dfrac{2}{3}(3.14)(6)^3[/tex]
[tex]V_1=\dfrac{6.28}{3}(216)[/tex]
[tex]V_1=452.16[/tex]
Volume of a cone is:
[tex]V_2=\pi r^2h[/tex]
Where r is the radius and h is the height of the cone.
Putting [tex]\pi =3.14, r=6, h=12[/tex], we get
[tex]V_2=(3.14)(6)^2(12)[/tex]
[tex]V_2=(3.14)(36)(12)[/tex]
[tex]V_2=1356.48[/tex]
Volume of the composite figure is:
[tex]V=V_1+V_2[/tex]
[tex]V=452.16+1356.48[/tex]
[tex]V=1808.64[/tex]
Therefore, the volume of a composite figure is 1808.64 cubic centimetres.
Note: All options are incorrect.
Answer: A
Step-by-step explanation:
if dy/dx = ysec^2(x) and y= 5 when x = 0, then y=?
А. e^tanx +4
B. e^tanx +5
C. 5e^tanx
D. tanx + 5
E. tanx + 5e^x
Answer:
C. [tex]\displaystyle y = 5e^{tan(x)}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightEquality Properties
Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of EqualityAlgebra I
FunctionsFunction Notation|Absolute Values|Anything to the 0th power is 1Algebra II
Logarithms and Natural logsEuler's number eCalculus
Derivatives
Derivative Notation
Trig Derivatives
Differential Equations
Separation of variablesGeneral and particular solutionsAntiderivatives - Integration
Integration Constant C
Trig Integration
Logarithmic Integration
Step-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle \frac{dy}{dx} = ysec^2(x)[/tex]
x = 0, y = 5
Step 2: Rewrite Differential
Separation of variables
[Division Property of Equality] Isolate y terms together: [tex]\displaystyle \frac{1}{y}\frac{dy}{dx} = sec^2(x)[/tex][Multiplication Property of Equality] Isolate x terms together: [tex]\displaystyle \frac{1}{y}dy = sec^2(x)dx[/tex]Step 3: Find General Solution
[Equality Property] Integrate both sides: [tex]\displaystyle \int {\frac{1}{y}} \, dy = \int {sec^2(x)} \, dx[/tex][1st Integral] Integrate [Logarithmic Integration]: [tex]\displaystyle ln|y| = \int {sec^2(x)} \, dx[/tex][2nd Integral] Integrate [Trig Integration]: [tex]\displaystyle ln|y| = tan(x) + C[/tex][Equality Property] e both sides: [tex]\displaystyle e^{ln|y|} = e^{tan(x) + C}[/tex]Simplify: [tex]\displaystyle |y| = Ce^{tan(x)}[/tex]Rewrite: [tex]\displaystyle y = \pm Ce^{tan(x)}[/tex]Step 4: Find Particular Solution
Substitute in variables [Function]: [tex]\displaystyle |5| = Ce^{tan(0)}[/tex]Evaluate absolute value: [tex]\displaystyle 5 = Ce^{tan(0)}[/tex]Evaluate trig: [tex]\displaystyle 5 = Ce^0[/tex]Evaluate exponent: [tex]\displaystyle 5 = C(1)[/tex]Multiply: [tex]\displaystyle 5 = C[/tex]Rewrite: [tex]\displaystyle C =5[/tex]Substitute in C [General Solution]: [tex]\displaystyle y = 5e^{tan(x)}[/tex]∴ Our answer is C.
Topic: AP Calculus AB/BC (Calculus I/II)
Unit: Differential Equations
Book: College Calculus 10e
I’m really confused on how to write the range of inequality because it’s been a while. Can someone please help??
Answer:
y ≤ 0
Step-by-step explanation:
The arrow says that the function keep going down
the biggest y is 0
so we can write
y ≤ 0
There are 19 birds in a pond, all of which are ducks or geese. If the number of ducks in the pond is 1 more than twice the number of geese in the pond, how many geese are in the pond?
A. 6
B. 9
C. 10
D. 13
d I think d
Step-by-step explanation:
yayasjsjamaaak
The same data are graphed in each histogram, but with different intervals. Which histogram has the best interval to draw conclusions on the height of the shortest player? A bar graph titled Height of players has height in inches on the x-axis and players on the y-axis. 4 players have a height of 60 to 69 inches and 12 players have a height of 70 to 79 inches. A bar graph titled Height of players has height in inches on the x-axis and players on the y-axis. 2 players have a height of 60 to 64, 2 have a height of 65 to 69, 7 have a height of 70 to 74, 5 have a height of 75 to 79. A bar graph titled Height of players has height in inches on the x-axis and players on the y-axis. 1 player has a height of 60 to 63, 2 have a height of 64 to 67, 3 have a height of 68 to 71, 7 have a height of 72 to 75, and 3 have a height of 76 to 79.
Answer:
c
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
ФФФФ↓↓∴Ф⊄⊄∠㏒㏑↑↑↑↑⇒⇒⇒⇒Δ≅√√βΔФ∉∴∨↓∈ЛБХаЩЪ
How can I solve for x?
Answer:
37 degrees
Step-by-step explanation:
The angles within a triangle always add up to 180 degrees. Right angles are always 90 degrees. 53 + 90 = 143 degrees. 180 - 143 = 37 degrees
Bus A and Bus B leave the bus depot at 3 pm.
Bus A takes 25 minutes to complete its route once and bus B takes 30 minutes to complete its route once.
If both buses continue to repeat their route, at what time will they be back at the bus depot together?
Assume the buses have no breaks in between routes.
Give your answer as a 12-hour clock time.
Answer:
5:30 pm.
Step-by-step explanation:
First find the LCM (lowest common multiple) of 25 and 30. This is the amount of minutes it will take for the buses to meet again.
25 can be broken up into 5*5
30 can be broken up into 5*6
The most amount of 5s found in a number is two times in 25 and the most amount of 6s found in a number is once in 30, so
25*6=150
150 is the LCM. This means that in 150 minutes, the buses will be back at the bus depot together.
All we have to do now is convert 150 minutes to hours.
One hour is 60 minutes, so 150/60 is 2.5 hours, or 2 hours and 30 minutes.
2 hours and 30 minutes after 3 pm is 5:30 pm.
Mitch made a dot plot of the number of hours that students in his grade spent this week watching television.
Use the data to choose True or False for each statement.
Dot plot named as
A typical student from this group spends more than 10 hours watching television each week.
More students watch 3 hours of television than watch more than 3 hours of television.
All students watch 20 or fewer hours of television each week.
The most common answer for the number of hours that a student watches per week was 3.
Answer:
Part A
False
Part B
True
Part C
True
Part D
True
Step-by-step explanation:
A scatter diagram created with MS Excel shows the data as on the dot plot in a similar question obtained online
The number of students in the group = 92
Part A
The number of students that spend more than 10 hours watching television = 39
Therefore, given that less than half of the student spend more than 10 hours watching television, the statement is false
Part B
The number of students that watch 3 hours of television is the highest than any other time range with 16 students, therefore, the statement is true
Part C
The maximum hours watched by a student in the dot plot is 20 hours, therefore, the statement is true
Part D
The number of hours for which the student watched and which has the highest frequency is 3 hours, therefore, the statement is true as more students have 3 hours as the number of hours watched (16 students) than any other number of hours
What is 3/5 • 6/5??
Answer:
0.72
Step-by-step explanation:
3/5 X 6/5 = 0.72
i need help please !!!
Answer:
1. it is given
2. the definition of angle bisector
3. the reflexive property
4. SAS
5. corresponding parts of congruent triangles are congruent
Angles: Arcs & Angles need help thank you!!
Answer:
See answers below
Step-by-step explanation:
1) The typr of triangle in a semicircle is a right angle. Hence the measure of m<ABC is 90degrees
2) m<DEF = 1/2(144)
m<DEF = 144/2
m<DEF = 72degrees
3) From the trinagle
4x+3 + x+7 +90 ==180
5x + 100 = 180
5x = 180-100
5x = 80
x = 80/5
x = 16
<QRD = x+7
m<QRD = 16 + 7
m<QRD = 23degrees
4) Angle in the same segment are equal
5x-37= 3x+1
5x - 3x = 1+37
2x = 38
x = 38/2
x =19
arc NM = 2m<P
arc NM = 2(3x+1)
arc NM = 2(3(19)+1)
arc NM = 2(58)
arcNM = 116degrees
your resturaunt bill is 42$ you want to leave a 15% tip, what should the tip be
Answer:
$6.30
Step-by-step explanation:
Answer:
The tip should be $6.30
Step-by-step explanation:
We can find 15 percent of 42$ by multiplying 42 by 0.15 (this is another way of writing down 15%) and so we get...
(42)(0.15) = 6.3
Therefore the tip should be $6.30
Someone please help!!! It doesn’t make sense!! Find the value of 1/2 divided by 1/3. (A 1 and 1/2) (B 1 and 1/3) (C 1 and 2/3) that’s the options I have please help!!!
Answer:
A
Step-by-step explanation:
1/2 ÷ 1/3
Copy dot flip
1/2 × 3/1
1 × 3 / 2 × 1
3 / 2
3/2
Convert 3/2 into mixed number:
3/2 -> 1 1/2 because 3 fits into 2 evenly once, which leaves 1 remaining (for the denominator)
2) Find the Volume
The volume is
cubic centimeters.
4 cm
4 cm
4 cm
Please help me solve the problem
Answer:
X = 44
Step-by-step explanation:
That square means that the angle is 90°, therefore you can subtract 46 from 90 to find x
90 - 46 = 44
Answer:
44
Step-by-step explanation:
That is a right angle so we just need to subtract 46 from 90, and 90-46 is 44. So 44 is the missing angle
Pls brainliest :D
Que numero que elevado al cubo da -125?
Answer:
-5
Step-by-step explanation:
Make:
(-5)³ = (-5)×(-5)×(-5) = 25×(-5) = -125
2|5-10|-|-3| please provide a step by step explanation (:
Step-by-step explanation:
[tex]2 |5 - n| - | - 3| \\ = 2 |5 - 10| - 3 \\ = 2 \times 5 - 3 \\ = 10 - 3 \\= 7[/tex]
[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]
3, 4, 5, 7, 9, 10, 2, 8
Mean__
Median__
Mode__
Range__
Mean- 6
Median- 6
Mode- 3, 4, 5, 7, 9, 10, 2, 8
Range- 8
Hope this Helped! :T
Write a quadratic function f whose zeros are -3 and -8
Answer:
y = x² + 11x + 24
Step-by-step explanation:
y = (x + 3)(x + 8)
Expand
y = x² + 8x + 3x + 24
Combine like terms
y = x² + 11x + 24
Pleaseeee help #10 Which table below describes a linear function?
7 points
y
o
o
o
O
A
1
1
1
2
4
16
4
8
9
81
9
18
у
y
0
0
0
B
1
3
D
1
2
W
4
9
4
4
9
20
9
Ο Α
OB
Ос
Oo
Answer:a
Step-by-step explanation:
Jasiah wants to buy a bicycle that costs $330. He has saved $50 so far and will save $40 each week until he has enough money to buy the bicycle
Answer:
$280
Step-by-step explanation:
There are 2 ways to do the question.
Method 1: $330-$50=$280
Method 2: 7 days equals to one week=$40.
$40×7=$280
Hope these helps you!
Find the value of x.
a) 80
b) 90
c) 45
d) 60
Answer:
b
Step-by-step explanation:
The tangent- tangent angle x is half the difference of its intercepted arcs.
Th sum of the arcs in a circle = 360°
major arc = 360° - 90° = 270° , then
x = [tex]\frac{1}{2}[/tex] (270 - 90)° = [tex]\frac{1}{2}[/tex] × 180° = 90° → b
Please help!!! T^T
Sarah buys 2 gallons of milk. There are approximately 3.875 liters in a gallon. How many milliliters of milk did Sarah buy?
Hello, I hope this helps!
Answer:
3.875 * 2
= 7,570.82 ml
Sarah bought 7,570 ml of milk