Answer:
Where's the picture?
A man drove a total round trip distance of 646.25 miles. His car used 12 gallons of gas in one direction and 11.5 on the return trip. What was his average mileage for the entire trip?
Answer: 27.5
Step-by-step explanation:
I need help with the solutions for 19,20,21 thank you
Answer:
GIVEN :-
Coordinates of points are :-
(-5 , 12)(2 , 8)(3 , -6)TO FIND :-
All the trigonometric values of given pointsFACTS TO KNOW BEFORE SOLVING :-
It's important to know that :-
In 1st quadrant (0° to 90°) , all the trigonometric values are positive .In 2nd quadrant (90° to 180°) , except sin & cosec , rest all trigonometric values are negative.In 3rd quadrant (180° to 270°) , except tan & cot , rest all trigonometric values are negative.In 4th quadrant (270° to 360°) , except cos & sec , rest all all trigonometric values are negative.SOLUTION :-
Q1)
Plot (-5,12) on the cartesian plane and name it 'A'Drop a perpendicular to x-axis from 'A' and name the point 'B' where the perpendicular meets x-axis.Join the point A with the origin 'O'.You'll notice a right-angled ΔABO formed (∠B = 90°) in the 2nd quadrant of the plane whose :-
length of perpendicular of triangle (AB) = 12 unitslength of base of triangle (OB) = 5 unitslength of hypotenuse (OA) = 13 unitsLet the angle between OA & positive x-axis be θ.
⇒ ∠AOB = 180 - θ
So ,
[tex]\sin (AOB) = \sin(180 - \theta) = \sin \theta = \frac{12}{13}[/tex][tex]\cos(AOB) = \cos (180 - \theta) = -\cos \theta = -\frac{5}{13}[/tex][tex]\tan(AOB) = \tan(180 - \theta) = -tan \theta = -\frac{12}{5}[/tex][tex]\csc(AOB) = \csc(180 - \theta) = \csc \theta = \frac{1}{\sin \theta} = \frac{13}{12}[/tex][tex]\sec(AOB) = \sec(180 - \theta) = -\sec \theta = -\frac{1}{\cos \theta} = -\frac{13}{5}[/tex][tex]\cot(AOB) = \cot(180 - \theta) = -\cot \theta = -\frac{1}{\tan \theta} = -\frac{5}{12}[/tex]Q2)
Plot (2,8) on the cartesian plane and name it 'A'Drop a perpendicular to x-axis from 'A' and name the point 'B' where the perpendicular meets x-axis.Join the point A with the origin 'O'.You'll notice a right-angled ΔABO formed (∠B = 90°) in the 1st quadrant of the plane whose :-
length of perpendicular of triangle (AB) = 8 unitslength of base of triangle (OB) = 2 unitslength of hypotenuse (OA) = 2√17 unitsLet the angle between OA & positive x-axis be θ.
⇒ ∠AOB = θ
So ,
[tex]\sin(AOB) = \sin \theta = \frac{8}{2\sqrt{17} } = \frac{4}{\sqrt{17} }[/tex][tex]\cos(AOB) = \cos \theta = \frac{2}{2\sqrt{17}} = \frac{1}{\sqrt{17}}[/tex][tex]\tan(AOB) = \tan \theta = \frac{8}{2} = 4[/tex][tex]\csc(AOB) = \csc \theta = \frac{1}{\sin \theta} = \frac{\sqrt{17}}{4}[/tex][tex]\sec(AOB) = \sec \theta = \frac{1}{\cos \theta} = \sqrt{17}[/tex][tex]\cot (AOB) = \cot \theta = \frac{1}{\tan \theta} = \frac{1}{4}[/tex]Q3)
Plot (3,-6) on the cartesian plane and name it 'A'Drop a perpendicular to x-axis from 'A' and name the point 'B' where the perpendicular meets x-axis.Join the point A with the origin 'O'.You'll notice a right-angled ΔABO formed (∠B = 90°) in the 4th quadrant of the plane whose :-
length of perpendicular of triangle (AB) = 6 unitslength of base of triangle (OB) = 3 unitslength of hypotenuse (OA) = 3√5 unitsLet the angle between OA & positive x-axis be θ . [Assume it in counterclockwise direction].
⇒ ∠AOB = 360 - θ
So ,
[tex]\sin(AOB) = \sin(360 -\theta) = -\sin \theta = -\frac{6}{3\sqrt{5} } = -\frac{2}{\sqrt{5} }[/tex][tex]\cos(AOB) = \cos(360 - \theta) = \cos \theta = \frac{3}{3\sqrt{5} } = \frac{1}{\sqrt{5} }[/tex][tex]\tan(AOB) = \tan(360 - \theta) = -tan \theta = -\frac{6}{3} = -2[/tex][tex]\csc(AOB) = \csc(360 - \theta) = -\csc \theta = -\frac{1}{\sin \theta} = -\frac{\sqrt{5} }{2}[/tex][tex]\sec(AOB) =\sec (360 - \theta) = \sec \theta = \frac{1}{\cos \theta} = \sqrt{5}[/tex][tex]\cot(AOB) = \cot(360 - \theta) = -\cot \theta = -\frac{1}{\tan \theta} = -\frac{1}{2}[/tex]Find the missing dimension.
Answer:
1.66
Step-by-step explanation:
a = b*h
5.833 = 5*h
5.833/5 = h
1.166 = h
------------------------------------------
check work:
b*h = a
5 * 1.166 = 5.833
True
Answer:
1.66
Step-by-step explanation:
I did this already in my math class
A book which was bought for Rs.100 was sold at Ra.90 what will be the loss percent?
Answer:
10% or 1%
Step-by-step explanation:
i swear u better not remove this
Omg please help this is IMPORTANT
Answer:
first one is correct and second also but in third it is incorrect and fourth is correct so C is incorrect
Answer:
C
Step-by-step explanation:
the quotient of a number means n divided by or n/
and twelve plus four, means that is the second part of the expression
n/ 12+4 would be correct instead of 12/n +4
24. Identify the center and radius of the circle given the equation (x +15)2 + (7 - 9)2 = 25 .
a. Center: (-15, 9), Radius: 5
b. Center: (15, -9), Radius: 25
c. Center: (-15, -9) Radius: 5
d. Center: (15,9) Radius: 25
Answer:
a. Center: (-15, 9), Radius: 5
Step-by-step explanation:
Equation of a circle:
The equation of a circle of center [tex](x_0, y_0)[/tex] and radius r is given by:
[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]
In this question, we have that:
[tex](x + 15)^2 + (y - 9)^2 = 25[/tex]
Comparing both equations:
[tex]x - x_0 = x + 15[/tex]
[tex]x_0 = -15[/tex]
And
[tex]y - y_0 = y - 9[/tex]
[tex]y_0 = 9[/tex]
The center is [tex](-15,9)[/tex].
For the radius:
[tex]r^2 = 25[/tex]
[tex]r = \sqrt{25} = 5[/tex]
The correct answer is given by option a.
juan and jose are in charge of buying candy for pinatas. Each pinata will hold 6 pounds of candy how many puonds of candy will they need to fill 12 pinatas
Answer:
75.36
Step-by-step explanation:
bc it sinple math if you think about it
no links Pwease help this is very important I will give you brain thing if its correct ♡
Answer:
B, C
Step-by-step explanation:
3х2+9х+6
Foil method of
Answer:
3(4+3x)
Step-by-step explanation:
See Image below.
Given LP, LM = (3x + 1), MN = (4x –3), NP = (6x – 5), and LM =NP.
M
AN
What is the length of MP?
Answer:
[tex]MP = 12[/tex]
Step-by-step explanation:
Given
[tex]LM = (3x + 1), MN = (4x -3), NP = (6x - 5)[/tex]
[tex]LM = NP[/tex]
Required
Find MP
We have:
[tex]LM = NP[/tex]
This gives:
[tex]3x + 1 = 6x - 5[/tex]
Collect like terms
[tex]3x - 6x = -1-5[/tex]
[tex]-3x = -6[/tex]
Solve for x
[tex]x = 2[/tex]
MP is calculated as:
[tex]MP = MN + NP[/tex]
[tex]MP = 4x - 3 + 6x - 5[/tex]
Collect like terms
[tex]MP = 4x + 6x - 3 - 5[/tex]
[tex]MP = 10x - 8[/tex]
Substitute [tex]x=2[/tex]
[tex]MP = 10*2 - 8[/tex]
[tex]MP = 20 - 8[/tex]
[tex]MP = 12[/tex]
Write the word sentence as an inequality.
Three times a number h is at least -12 .
Answer:
Step-by-step explanation:
3h<-12
Answer:
3h [tex]\geq[/tex] -12
Step-by-step explanation:
"3 multiplied by a number h" = 3h // "Is at least" = [tex]\geq[/tex] // -12 = -12
Combine these and you get 3h [tex]\geq[/tex] -12
I WILL GIVE 90 POINTS!!!! PLEASE EEEEXXXXPPPLLLAAAIIIIIIIIIIIIINNNNNNN!!!!!!!!!!!!!!!!!
Moby rolls two dice. what is the probability that the sum of the numbers on the dice will be 8?
A. 1/36
B. 3/36
C. 5/36
D. 8/36
Answer:
C) 5/36
Step-by-step explanation:
Now, suppose, dice 1 gives 2. Here also, dice 2 can be anything between 1 and 6. But, the sum of both the dices will be 8 only if dice 2 shows 6.
Similarly, now, if dice 1’s face is 3, sum will be 8 only if dice 2’s upper face shows 5.
If dice 1 shows 4, sum = 8 only if dice 2 is 4.
If dice 1 is 5, sum = 8 only if dice 2 is 3.
If dice 1 is 6, sum= 8 only if dice 2 is 2.
Therefore, sum will be 8 only 5 times. But, sample space consists of 36 values ( combination of values of dice 1 and dice 2).
Therefore, probability = 5/36.
Hope it helps.
Answer:
Now, suppose, dice 1 gives 2. Here also, dice 2 can be anything between 1 and 6. But, the sum of both the dices will be 8 only if dice 2 shows 6.
Similarly, now, if dice 1’s face is 3, sum will be 8 only if dice 2’s upper face shows 5.
If dice 1 shows 4, sum = 8 only if dice 2 is 4.
If dice 1 is 5, sum = 8 only if dice 2 is 3.
If dice 1 is 6, sum= 8 only if dice 2 is 2.
Therefore, sum will be 8 only 5 times. But, sample space consists of 36 values ( combination of values of dice 1 and dice 2).
Therefore, probability = 5/36.
Hope it helps.
Step-by-step explanation:
Solve for the value of z
Answer:
z=26
Step-by-step explanation:
4z-8+3z+6=180
7z-2=180
7z=182
z=26
Answer:
z=26
Step-by-step explanation:
add the 2 equation together to equal 180
4z-8+3z+6
combine like terms
7z-2=180
add 2 to both sides
7z=182
divide by 7 to isolate z
z=26
Explain how you use a net to find the surface area of a prism.
Answer:
Hello, Here is your answer.
Finding the areas of each of the rectangles and squares of the net of a rectangular prism and adding up those areas gives the surface area or total surface area of the prism. For example, if the length of one side of the cube 4 units then the area of one its face is 4 × 4 = 16 square units.
Answer:
Step-by-step explanation:
By drawing a net, you can see each face of the prism. You can find the areas of each face and then add them together to find the total surface area.
What does area mean? When you are asked to find the
area what are you doing?
Answer:
you want to muliply the length and width to find area.
Step-by-step explanation:
add
3×+8y-12zand5x-7y+15z
help meee
3x+5x+12z+15z+8y+7y
8x+17z+15y
Answer:
[tex]3x + 8y - 12 z + 5x - 7y + 15z \\ 8x + y + 3z[/tex]
Step-by-step explanation:
I hope this helps you
Melissa started a game at 5:06 PM and finished it at 6:32 PM.
How long did it take her? Give your answer in hours and minutes.
Answer:
1 hour 26 minutes
Step-by-step explanation:
Which pair of inequalities is equivalent to 0
Choose the correct answer below.
Answer: D is correct
Step-by-step explanation:
Answer:
C. x > 0 and x ≤ 3
Step-by-step explanation:
0 < x ≤ 3
when 0 < x then x > 0
Example: 0 < 2 then 2> 0
Therefor
x > 0 and x ≤ 3
The Unit Circle
What is the domain of a sine function?
a. positive numbers
b. All real numbers
c. negative numbers
d. positive numbers including zero
Please select the best answer from the choices provided
Answer:
B. All real numbers
Step-by-step explanation:
I calculated it logically
Answer:
I believe it is all real numbers
What is the volume of a cube that has a side of 4 units?
Answer: 64units³
Step-by-step explanation:
The volume of a cube will be gotten by multiplying the value of its side thrice. This means that for example if the cube has a side of xcm, the volume will be:
= x × x × x
= x³
In this case, since the cube has a side of 4 units, the volume will be:
Volume of cube = 4³
Volume of cube = 4 × 4 × 4 = 64unit³
Rectangle F'G'H'I' is a translation of rectangle FGHI. Write the translation rule.
A circle has a radius of 4 inches. What is
the circumference?
A.25.12 inches
B.12.56 inches
Answer:
4 x 3.14 x 2 = 25.12 inches
Step-by-step explanation:
Formula of circumference:
3.14(pi) x 2(the number is just always there when finding circumference) x radius(half of your diameter or just your given radius).
Find the solution(s) to the system of equations. Select all that apply.
y=x-4
y = 2x- 5
Answer:
Y
Step-by-step explanation:
If 2^2x = 2^3, what is the value of x?
Answer:
x=2
Step-by-step explanation:
LINK=REPORT
(4^2)^3=
A. 4^5
B. 4^6
C. 8^5
D. 16^5
(5^2)(5^3)=
A. 5^5
B. 5^6
C. 10^5
D. 25^5
(3^4)(3^5)=
A. 3^9
B. 9^9
C. 3^20
D. 6^20
Which is equivalent to 2^3•2^-5?
A. 2^-15
B. 2^-8
C. 2^-2
D. 2^2
If you answer all four of them and they are right I will give brainliest!
Answer:
a) 4^6
b) 5^5
c)3^9
d)2^-2
Step-by-step explanation:
When raising a number to a power and then to another power, you can multiply the exponents.
When multiplying numbers with the same base to different exponents, you can add the exponents.
i’m so confused.. a little help?
Answer:
Triangle has a greater perimeter.
Step-by-step explanation:
Triangle perimeter = 21cm
Add the sides.
Square perimeter = 16cm
Add the sides (since it's a square the sides are the same.)
An architect is creating a scale drawing of a school computer lab. The length of the lab is 32 feet and the width of the lab is 48 feet. If each 16 feet of the lab equals 2 centimeters on a scale drawing, which of the following drawings is the scale drawing of the computer lab?
Answer:
The answer is B
Step-by-step explanation:
Length:
32ft. / 16ft. = 2
2 x 2cm. = 4 cm.
Width:
48ft. / 16ft. = 3
3 x 2cm. = 6cm
Answer:
b
Step-by-step explanation:
if u(x)=-2x^2+3 and v(x)=1/x, what is the range of (uxv)(x)
Answer:
u(x)=−2x2+3.
Step-by-step explanation:
v(x )=1x whichever notation you prefer: (u∘v)(x)=u(v(x)).
Answer:
u(x)=−2x2+3.
Step-by-step explanation:
Select two equations of lines that are perpendicular to the line whose equation is x + 5y = 50. I need help please.
Answer:
[tex]y = 5x + 1[/tex] and [tex]y = 5x + 2[/tex] are two equations of lines that are perpendicular to the line whose equation is x + 5y = 50.
Step-by-step explanation:
Equation of a line:
The equation of a line has the following format:
[tex]y = mx + b[/tex]
In which m is the slope and b is the y-intercept.
Perpendicular lines:
If two lines are perpendicular, the multiplication of their slopes is -1.
In this question:
The equation of the line is:
[tex]x + 5y = 50[/tex]
Placing in the standard format:
[tex]5y = -x + 50[/tex]
[tex]y = -\frac{x}{5} + 10[/tex]
The slope is [tex]-\frac{1}{5}[/tex]
Slope of the perpendicular lines:
[tex]-\frac{m}{5} = -1[/tex]
[tex]m = 5[/tex]
So
[tex]y = 5x + b[/tex]
Attributing two values to b:
[tex]y = 5x + 1[/tex] and [tex]y = 5x + 2[/tex] are two equations of lines that are perpendicular to the line whose equation is x + 5y = 50.
Helpppppppppppppppp meeeeeeeeeeee plssssssssssssssssss
Answer:
A: NO
B: YES
C: NO
D: NO
Step-by-step explanation: