Answer:
It's a right triangle ..
Step-by-step explanation:
By using Pythagoras theorem , we can know that it's a right angled triangle or not ..
so , H² = P² + B²
=> 34² = 16² + 30²
=> 1,156 = 256 + 900
=> 1,156 = 1,156
Hence , it's a right triangle
#10 AH IM STUCK ON THIS ITS HARD HELP
Answer:
4.8 in
Step-by-step explanation:
feet to inch conversion is *12
2 * 12 = 24
then divide the scale (for every 1 in on the model there is 5 in on the actual, so divide the actual value by 5)
24/5 = 4.8
your answer is 4.8 in
hope this helps:)
10. In a sale, the price of a digital camera is reduced by 18%.
The new price of the camera is £287.
(a) Work out the price of the camera before the sale
Answer:
£350
Step-by-step explanation:
287/0.82
a student walks 8 steps east 6 steps northeast 9 steps north west what is her displacement? include magnitude and direction
The displacement is 18.03 steps, and the direction is 47.25°
How to get the displacement?
We know that displacement is the difference between the final position and the initial position.
We assume the initial position (0, 0). Let's define the positive x-axis as the east and the positive y-axis as the north.
First, the student moves 8 steps east, so she is at:
(0 + 8, 0)
Then she moves 6 steps northeast, so the new position is:
(6*cos(45°) + 8, 6*cos(45°))
Finally, she moves 9 steps due north, so we have:
(6*cos(45°) + 8, 6*cos(45°) + 9)
Then the final position is:
(12.24, 13.24)
So the displacement is:
D = (12.24, 13.24) - (0, 0) = (12.24, 13.24)
The magnitude of the displacement is:
[tex]|D| = \sqrt{12.24^2 + 13.24^2} = 18.03[/tex]
So the magnitude is 18.03 steps.
And the direction is given by the arctangent of the quotient between the y-component and the x-component:
[tex]\theta = Arctg(13.24/12.24) = 47.25 \°[/tex]
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Evaluate the indefinite integral.
Answer:
I believe its C , i took this class
Step-by-step explanation:
At Open Skate Night, admission is $3.75 with a membership card and $5.00 without a membership card. Skate rentals are $3.00.
The Moores paid $6 more for skate rentals than the Cotters did. Together, the two families paid $24 for skate rentals.
How many pairs of skates did the Moores rent?
The Moores rented pairs of skates.
Answer:
15 dollars and they got 2 more pairs than the cotters. hope this helps.
Can i have some Help Please I Will Give Brainlest If your Right And i need you to show your work
Perpendicular Line: y = 3x - 10
Explanation:[tex]\sf {Given:} \ y = -\dfrac{1}{3} x-4[/tex]
Comparing it with slope intercept formula: [tex]\bf y = mx + b[/tex]
where m is the slope, b is y interceptIdentify the slope for this particular function:
[tex]\star \ \ \sf slope = -\dfrac{1}{3}[/tex]
Now given that the line passes perpendicularly, then the slope shall be negatively inverse of the parallel slope.
[tex]\implies \sf \ perpendicular \ slope : \ -(\dfrac{1}{m} ) \ = \ -(\dfrac{1}{-1/3} ) \ = \ 3[/tex]
Now, find the equation:
[tex]y -y_1 = m(x - x_1) \ \ \ \ \textsc where \ (x_1, y_1 ) \ are \ points[/tex] given points : (6, 8)
equation:
[tex]\rightarrow \sf y - 8 = 3(x-6)[/tex]
[tex]\rightarrow \sf y = 3x-18+8[/tex]
[tex]\rightarrow \sf y = 3x-10[/tex]
On comparing to y=mX+b
Slope =m=-1/3Perpendicular lines have slopes negative reciprocal to each other
Slope of perpendicular line
3Equation in point slope form
y-8=3(x-6)y-8=3x-18y=3x-10What is a name for the marked angle?
Answer: [tex]\angle BAD[/tex]
Reason:
The arc goes from ray AB to ray AD. The two rays join at angle A which is the vertex point. When naming an angle, always use the vertex point in the middle. The order of the other two letters does not matter.
We could name this angle as [tex]\angle BAD[/tex] or [tex]\angle DAB[/tex] to mean the same exact thing. All that matters is that "A" is in the middle.
Ignore point C, and ignore ray AC entirely.
Answer:
(b) ∠BAD
Step-by-step explanation:
An angle can be named by the names of three points. The first point is on one of the rays that form the angle; the second point is the vertex; the third point is on the other ray.
Apparently the "marked" angle is identified by the arc extending from ray AB to ray AD. Point A is the vertex of the angle, so one possible name for it is ...
∠BAD
It can also be called
∠DAB
HELP can i get some help here please
The graph of the system of inequalities can be seen at the end of the answer.
How to graph the system of inequalities?
Here we have two inequalities:
x < 2
y ≥ - 3
To graph the first one, we need to shade all the region at the left of the line x = 2, such that the line must be dashed, because the points on the line are not solutions.
For the second inequality, we need to shade all the regions above the line y = -3, this time the line must be solid, because the points on the line are solutions.
Then the graph of the inequalities is the one you can see below. The intersection of the shaded regions is the solution of the system of inequalities.
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PLEASE HELP ME FIND THE INEQUALITY SIGN OF THESE PROBLEMS
Answer:
2.5 > 2 2/5
Step-by-step explanation:
2 2/5 = 2.4
2.4 is less than 2.5
Using the points ( 6.4, 117) and (6.6, 120), what is the slope of the trend line?
a. -15
b. -12
c. 12
d. 15
Answer:
d 15.
Step-by-step explanation:
Slope = (difference in y values)/ (corresponding difference in x values)
So we have:
Slope = (120-117) / (6.6-6.4)
= 3 / 0.2
= 30/2 = 15.
a birthday cake is divided equally between 9 people what fraction of the cake does each person have?
[tex]\rule{300}{1}\\\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}[/tex]
A birthday cake is divided equally between 9 people.
What fraction of the cake does each person have?
[tex]\dashrightarrow\large\textsf{\textbf{\underline{\underline{Answer and How to solve:-}}}}[/tex]
[tex]\ast[/tex] Remember, a fraction looks like:-
[tex]\boxed{\frac{\xrightarrow{numerator}x}{\xrightarrow{denominator}{y}}}[/tex]
Where:-
numerator -> number of parts takendenominator -> total parts
In this case we divide a cake equally between 9 people, so we divide the cake into 9 parts, and each person gets a part of the cake.
So we have a fraction as follows:-
[tex]\dfrac{?}{9}[/tex]
Now, each person gets 1 part. 1 becomes our numerator:-
[tex]\dfrac{1}{9}[/tex]
[tex]\uparrow\sf{Our\:Answer}[/tex]
Good luck with your studies.[tex]\rule{300}{1}[/tex]
Thomas found a box that had a volume of 150 in3. He measured the height of the box to be 2 inches and the length was 10 inches more than the width. What is the width of the box?
The width of the rectangular box with volume of 150 cubic inches is: 5 inches.
What is the Volume of a Box?Volume of a box = (length)(width)(height).
Given the following:
Volume of the box = 150 in.³Height = 2 in.Width = w in.Length = w + 10 in.150 = (w + 10)(w)(2)
2w² + 20w - 150 = 0
Factorize
(w - 5)(w + 15) = 0
w = 5, w = -15
The width cannot be negative, therefore, the width of the box is: 5 inches.
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The increase in a person’s body temperature t(t), above 98.6ºf, can be modeled by the function t (t) = startfraction 4 t over t squared 1 endfraction, where t represents time elapsed. what is the meaning of the horizontal asymptote for this function?
The person's body temperature will approach 98.6ºF as time lapses, The horizontal asymptote of y = 0 means that the person’s temperature will approach 98.6ºF as time elapses.
What is horizontal asymptote?A horizontal asymptote is known to be that line that is horizontal in nature and it is one that is not an aspect of a graph that has a function but t act as a guides for its x-values.
Note that Horizontal asymptote occurs to T(f) only when t is said to be very large (as it approaches infinity) and thus, it connote that the person's body temperature will be going towards 0ºF above 98.6ºF as t moves to infinity.
See full question below
The increase in a person’s body temperature T(t), above 98.6ºF, can be modeled by the function T(t)=(4t)/(t^2 +1), where t represents time elapsed. What is the meaning of the horizontal asymptote for this function?
The horizontal asymptote of y = 0 means that the person’s temperature will approach 98.6ºF as time elapses. The horizontal asymptote of y = 0 means that the person’s temperature will approach 0ºF as time elapses. The horizontal asymptote of y = 4 means that the person’s temperature will approach 102.6ºF as time elapses. The horizontal asymptote of y = 4 means that the person’s temperature will approach 4ºF as time elapses.
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A company decides to mix pinapple and orange soda to make a new drink.
They have 450 liters of pinapple soda, which is 42% sugar.
They mix it with 630 liters of orange soda.
The new drink is 35% sugar.
What percentage of the orange soda is sugar?
. Find the area of a circle with a
circumference
of 11( 3.14 )
feel
?
Answer:
95.03
Step-by-step explanation:
X^2-11x+24
I need to convert the quadratic equation from expanded to factored form
Answer:
[tex](x - 3) \: (x - 8)[/tex]
Step-by-step explanation:
We were given the equation:
[tex] {x}^{2} - 11x + 24 = 0[/tex]
Therefore in order to factorize we first need to find the numbers that add to be equal to -11 and multiply to be equal to 24. The two numbers are:
[tex] - 8 \: and \: - 3 \\ \\ - 8 + ( - 3) = - 11 \\ - 8 \times - 3 = 24[/tex]
So the new equation is
[tex]{x}^{2} - 8x - 3x + 24 = 0 \\ \\ factorize: ( {x}^{2} - 8x) \: ( - 3x + 24) = 0 \\ \\ x(x - 8) \: - 3(x - 8) \\ \\ therefore : (x - 3) \: ( x - 8) = 0[/tex]
Answer:
Step-by-step explanation:
Comment
There are a lot of choices. Luckily the middle term is minus and the third term is plus, so you don't have to juggle minus signs around. Both factors are minus when put together with x.
-3 - 8
-4 - 6
-2 -12
-1 - 14
I think these are all the possible factors.
-4 + - 6 = - 10 Not the answer. It needs to be - 11
-2 + -12 = -14 Not the answer. It needs to be - 11
-1 + - 24 = -25 Just about as far away as you can get. Not the answer
So A must be right
-3 + -8 = - 11
That's what it should be. So the factors are
Answer:
(x -3)(x - 8)= x^2 - 11x + 24
please help with this!
Answer:
3/8
Step-by-step explanation:
1/8 + 1/4 = 1/8 + 2/8 = 3/8
Note that 1/4 = 1/4 * 2/2 = 1*2 / 4*2 = 2/8
Point C is on line segment \overline{BD}
BD . Given CD=2CD=2 and BD=17,BD=17, determine the length \overline{BC}.
BC .
15
Step-by-step explanation:The segment addition postulate states that if AC is a line with point B, then AB + CD must equal AC.
Setting Up the Equation
Using the postulate above we can set up an equation that is set equal to BD.
BC + CD = BDNow, rewrite this using the information we are given in the question.
BC + 2 = 17Solving For BC
Now, we can solve this equation using the properties of equality.
BC + 2 = 17To solve you need to isolate BC. Do this by subtracting 2 from both sides.
BC = 15This gives us the answer, 15.
Which represents the inverse of the function f(x) =4x?
Let's see
Let y=f(x)
y=4xIntechange x and y
x=4yFind y
y=x/4The inverse is y=x/4
Graphs attached
Answer:
[tex]\sf f^{-1}(x)=\dfrac{x}{4}[/tex]
Step-by-step explanation:
The inverse of a function is the reflection of the function in the line y = x
To find the inverse of a function:
Set the function to y:
⇒ y = 4x
Make x the subject:
[tex]\sf \implies x=\dfrac{y}{4}[/tex]
Change x to [tex]\sf f^{-1}(x)[/tex] and y to x:
[tex]\sf \implies f^{-1}(x)=\dfrac{x}{4}[/tex]
What is the Volume! ~
Answer:
108
Step-by-step explanation:
Volume of a Square Pyramid :
V = 1/3 x Base Area x HeightSolving :
V = 1/3 x (6)² x 9V = 36 x 3V = 108 cubic centimetersAnswer: Volume = 108 cm ³
Explanation:
For a square pyramid, the volume can be calculated as follows:
Volume = * area of base * height
Volume = * side² * height
We have:
side length = 6 cm
height = 9 cm
Therefore:
Volume = * 36 * 9 = 108 cm ³
Hope this helps :)
Solve the following systems of equations. To unlock puzzle three
find the product of each solution (ordered pair -x and y value)
and then find the mean of all five products.
Answer:
Step-by-step explanation:
1,)
3x+y=4 <-Equation 1
2x-y=6 <-Equation 2
Step 1 Eliminating Y Multiply negative both side
-[3x +y = 4 ] -
-3x-y = -4 <-Equation 3
Equation 2 to Equation 3
2x-y=6
-
-3x-y = -4
= 5x = 10
x =2
Substituting X to Equation 1
3x+y=4
3(2) + y =4
6 + y = 4
y = -2
Therefore x =2 and y = -2
Type the correct answer in the box. polygon abcde is reflected across the x-axis to form polygon a′b′c′d′e′. then polygon a′b′c′d′e′ is dilated by a scale factor of 0.5 about d′ to form polygon lmnop. vertices a and b correspond to l and m, respectively. if the length of is 2.20 units, the length of is units. write your answer as a decimal number to two decimal places.
Based on the calculations, the length of LM is equal to 1.10 units.
Given the following data:
Scale factor = 0.5.
Length of AB = 2.20 units.
The types of transformation.In Mathematics, there are different types of transformation and these include the following:
ReflectionRotationTranslationDilationHow to determine the length of LM?Since polygon A'B'C'D'E' is dilated by using a scale factor of 0.5 about D', so as to form polygon LMNOP. Thus, the length of LM is given by:
LM = A'B' × scale factor
LM = 2.20 × 0.5
LM = 1.10 units.
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(URGENT) Maurice and Rhonda a are traveling in the same direction along the same road. Maurice is traveling at 55 mph and is exactly 15 miles ahead of Rhonda, who is traveling at 65 mph. How many hours will it take Rhonda to catch Maurice?
Answer:
Step-by-step explanation:
Givens
Maurice
55 miles an hour
15 miles ahead of Rhonda
d1
Rhonda
65 miles per hour
d2
The distance has to be the same for both in order to meet.
Formula
d1 = d2
d = r * t where r is the speed.
65*t = 55t + 15 Subtract 55t from both sides
Solution
65t - 55t = 55t - 55t + 15 Combine
10t = 15 Divide both sides by 10
10t/10 = 15t/10
t = 1.5 hours
Answer
They will meet in 1.5 hours.
A cylindrical can has a volume of, 1250 cubic centimetres. What is the height of the can if its radius is 8 centimetres? Round your answer to the nearest tenth.
A cylinder is a three-dimensional structure formed by two parallel circular bases connected. The height of the can that has a volume of 1250 cm³ if the radius is 8 cm is 6.217 cm.
What is a cylinder?A cylinder is a three-dimensional structure formed by two parallel circular bases connected by a curving surface. The circular bases' centres overlap each other to form a right cylinder.
Given the volume of the cylinder is 1250 cm³, and the radius of the cylinder is 8 cm. Therefore, the volume of the cylinder can be written as,
[tex]\text{Volume of the cylinder} = \pi r^2h[/tex]
[tex]1250 = \pi \times (8)^2 \times h\\\\h = 6.217\rm\ cm[/tex]
Hence, the height of the can that has a volume of 1250 cm³ if the radius is 8 cm is 6.217 cm.
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Please help me with my math please?
Answer:
m = -1/3
b = 0
y = -1/3x
Step-by-step explanation:
The y-intercept is 0, so b is just 0. The slope of the line is 1/3 but it is decreasing not increasing, so it is negative. Then using the slope formula:
y = mx + b
y = -1/3x
Slope:-
m=2+2/-3-3=4/-6=-2/3Equation in point slope form
y+2=-2/3(x-3)3y+6=-2x+63y=-2xy=-2/3xb=0
Locate √13 √17 on number line. (Please step by step explanation or preferably done in notebook) I’ll mark brainless the best answer
Explanation:
Turn the irrational numbers into decimals, so it is easy to understand and point on the number line graph.
Numbers provided:
√13 = 3.605551275 ≈ 3.61
√17 = 4.123105625 ≈ 4.12
Step by Step Solving:
The number 3.61 will be between 3.5 and 3.7The number 4.12 will be between 4 and 4.2Plot the points (circled area's):
| Jill was given $175 but her mother was given five times as
much. How much was her mother given?
Answer:
$875
Step-by-step explanation:
Jill was given $175 and her mother was given 5 times the amount.
Multiply 175 and 5.
Amount for mother = $175 x 5Amount for mother = $875
3. Juan makes $9.00 per hour and works 30 hours per week. If Juan has $70 deductions, what is his
Net income?
Answer:
$200
Step-by-step explanation: You take $9.00 and multiply it by 30 and then you take whatever that answer is and subtract 70 from it to get the net income
Directions: Using the digits 0-9, no more than once each, fill in the boxes to make the statement true:
The equation [tex]\frac{5-3-2}{1+4+6+7+8+9}[/tex] = 0 is true
What is fraction?
In arithmetic, a number expressed as a quotient, in which a numerator is divided by a denominator.
Using digits 0 to 9, no more than once each.
we want to place them in such a way that the division will be zero.
As we know that a quotient is equal to zero iff the numerator is equal to zero and the denominator other than zero.
So if we put some numbers on the numerator in such a way by adding them gives 0.
So, 5 - 3 - 2 = 0
Use all the other numbers in the denominator.
[tex]\frac{5-3-2}{1+4+6+7+8+9}[/tex] = 0
which is true.
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Use the table below to answer this question:
x y
−1
7
3
3
5
1
Find the average rate of change for the given function from x = −1 to x = 5. (5 points)
−6
−1
1
6
Using it's concept, it is found that the average rate of change of the function from x = -1 to x = 5 is of -1.
What is the average rate of change of a function?It is given by the change in the output divided by the change in the input.
In this problem, the output changes by -6(from 7 to 1) when the input changes by 6(from -1 to 5), hence the average rate is given by:
r = -6/6 = -1.
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