Answer:
Step-by-step explanation:
1) 2/9 = 185/x
2x = 1665
x = 832.5 or 8.325 meters
2) unit rate is the cost of one unit
i.e a dozen eggs cost $1.20 that
would be 10 cents each
3) 300 tissues for $3.75 vs. 250 for $2.99
one is 1.24 cents per tissue
the other 1.19 ... the 250 package is a better buy
find the value of x,if the distance between p(5,2) and Q(x,-2)be 5 units.
Answer:
points srru
Step-by-step explanation:
Answer:
Step-by-step explanation:
PQ=√((x-5)²+(-2-2)²)=√((x-5)²+16)=5
squaring
(x-5)²+16=25
(x-5)²=25-16=9
x-5=±3
x=-3+5,3+5
or x=2,8
On a coordinate plane, rhombus W X Y Z is shown. Point W is at (7, 2), point X is at (5, negative 1), point Y is at (3, 2), and point Z is at (5, 5).
What is the perimeter of rhombus WXYZ?
StartRoot 13 EndRoot units
12 units
StartRoot 13 EndRoot units
20 units
Answer:
[tex]P = 4\sqrt{13}[/tex]
Step-by-step explanation:
Given
[tex]W = (7, 2)[/tex]
[tex]X = (5, -1)[/tex]
[tex]Y = (3, 2)[/tex]
[tex]Z =(5, 5)[/tex]
Required
The perimeter
To do this, we first calculate the side lengths using distance formula
[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2[/tex]
So, we have:
[tex]WX = \sqrt{(5- 7)^2 + (-1 - 2)^2[/tex]
[tex]WX = \sqrt{13}[/tex]
[tex]XY = \sqrt{(3-5)^2 + (2--1)^2}[/tex]
[tex]XY = \sqrt{13}[/tex]
[tex]YZ = \sqrt{(5-3)^2 + (5-2)^2}[/tex]
[tex]YZ = \sqrt{13}[/tex]
[tex]ZW = \sqrt{(7 - 5)^2 + (2 - 5)^2}[/tex]
[tex]ZW = \sqrt{13}[/tex]
The perimeter is:
[tex]P = WX + XY + YZ + ZW[/tex]
[tex]P = \sqrt{13}+\sqrt{13}+\sqrt{13}+\sqrt{13}[/tex]
[tex]P = 4\sqrt{13}[/tex]
Answer:
C on edge 2021
Step-by-step explanation:
I took the cumulative exam
Can someone help me with this math homework please!
OPTION C
The graph is continuous because there can be fractional values for time
Answer:
(C) The graph is continuous because there can be fractional values for time.
Step-by-step explanation:
There can't be a negative altitude because when it reaches the ground, it has a altitude of zero and can't go further down. However, it's not B because a discrete graph would also mean there would be set times (represented by points on the graph) of the hot air balloon moving. This isn't true, because the hot air ballon moves as time continues, even fractional time values.
So it's C, "The graph is continuous because there can be fractinoal values for time".
Hope it helps (●'◡'●)
Help me with this question i forgot how to do these
Answer:
44m
Step-by-step explanation:
add all 4 sides of the rectangle then multiply by 2 since each square is 2m.
pls answer if it is correct i will give brainlist
Answer:
1/ x = 22.5°
2/ x = 60°
Step-by-step explanation:
1/ We have: 3x + 2x + 3x = 180°
=> 8x = 180° => x = 22.5°
2/ We have: x + x + x = 3x = 180°
=> x = 60°
Answer:
1) x = 22.5
2) x = 60
Step-by-step explanation:
→ Add the angles together
1) 3x + 2x + 3x = 8x
2) x + x + x = 3x
→ Make it equal to 180
1) 8x = 180
2) 3x = 180
→ Divide both sides by 8 and 3
1) x = 22.5
2) x = 60
Please help me with this... will give brainliest
Answer:
94 cm^2
Hope it helps!
A boat is heading towards a lighthouse, where Riley is watching from a vertical distance of 120 feet above the water. Riley measures an angle of depression to the boat at point A to be 18 degrees . At some later time , Riley takes another measurement and finds the angle of depression to the boat (now at point B) to be 65 degrees . Find the distance from point A to point B. Round your answer to the nearest foot if necessary .
Answer:
313 ft
Step-by-step explanation:
It's hard to explain because its geometry, but there will be a right triangle with angle of 72 and another with angle of 25. do tan72 * 120 - tan25 * 120
The distance from point A to point B is given by the trigonometric relations and d = 313 feet
What are trigonometric relations?Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles
The six trigonometric functions are sin , cos , tan , cosec , sec and cot
Let the angle be θ , such that
sin θ = opposite / hypotenuse
cos θ = adjacent / hypotenuse
tan θ = opposite / adjacent
tan θ = sin θ / cos θ
cosec θ = 1/sin θ
sec θ = 1/cos θ
cot θ = 1/tan θ
Given data ,
Let the first triangle be represented as ΔAOD
Let the second triangle be represented as ΔBOD
where the distance from point A to point B = d
And , Riley is watching from a vertical distance of 120 feet above the water
Riley measures an angle of depression to the boat at point A to be 18 degrees
Riley takes another measurement and finds the angle of depression to the boat (now at point B) to be 65 degrees
So , ∠BOD = 25° and ∠AOD = 72°
From the trigonometric relations ,
tan θ = opposite / adjacent
tan AOD = AD / OD = tan 72°
tan 72° = 3.087
tan BOD = tan 25° = 0.47
Now , the measure of AD = 120 x 3.087 = 369.6 feet
And , the measure of BD = 120 x 0.74 = 56.4 feet
Therefore , the distance from A to B = 369.6 feet - 56.4 feet
d = 313 feet
Hence , the distance is 313 feet
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find the distance between the points (-3,-2) and (1,-5)
Express (5a to the power 2) x (2b to the power 2) x (c) as a power of a product.
Answer:
50 a^2 b c^2
Step-by-step explanation:
I'm quite confused about your question, but I try my best. I have attached the explanation above. Hopefully this will help
Help Help Help Help Help Help Help Help Help Prove the divisibility of the following numbers: 10^9+10^8+10^7 by 555
Pull out a common factor of 10⁷:
10⁹ + 10⁸ + 10⁷ = 10⁷ (10² + 10¹ + 10⁰)
… = 10⁷ × 111
Factorize 10 as 2 × 5, then distribute the power of 7:
… = 2⁷ × 5⁷ × 111
Pull out a factor of 5 and multiply it with 111:
… = 2⁷ × 5⁶ × 5 × 111
… = 2⁷ × 5⁶ × 555
So 555 divides 10⁹ + 10⁸ + 10⁷.
QUESTION 4
f(x)=4x-10/x-2
4.1 Determine the x- and y-intercepts of
4.2 +9. Write f (x) in the form: f(x) = x - 2 4.3 Draw the graph of y, clearly show the intercepts with the axes and the asymptotes.
4.4 Give the equations of the asymptotes of f(x) + 3.
Answer:
4.2+9.Write f (x)in the form:f(x)=x-2 4.3Draw
What is the common difference between successive terms in the sequence 0.36, 0.26,0.16,0.06,-0.04,-0.14
Answer:
- 0.1
Step-by-step explanation:
Prove: AAB
Step
Statement
Reason
Given
1
ABCD is a parallelogram
ABCD
Select a Reason!!
2
A
B
N
Find x from this triangle
Hello,
we are going to use the theorem of the bissectrice. (if this word is good in english)
[tex]\dfrac{KL}{LM} =\dfrac{KN}{NM} \\\\\dfrac{8}{x} =\dfrac{14}{20-x} \\\\8(20-x)=14x\\\\160-8x=14x\\\\22x=160\\\\x=\frac{160}{22} \\\\x=\frac{80}{11} \\\\\\x=7.\overline{27}[/tex]
In 2004 there were 7,000000 people living alone in great Britain this is four time as many as in 1961, Calculate how many people lived alone in 1961. Express your answer in standard form
Answer:
1.75 × 10⁶
Step-by-step explanation:
7,000,000 ÷ 4 = 1750000
Which is 1.75 × 10⁶ in standard form
Input value for the function machine that gives an output value of 3.
Answer:
x = –1
Step-by-step explanation:
From the question given above, the following data were obtained:
y = √(–2x + 7)
y = 3
x =?
The value of x can be obtained as follow:
y = √(–2x + 7)
3 = √(–2x + 7)
Take the square of both side
3² = –2x + 7
9 = –2x + 7
Collect like terms
9 – 7 = –2x
2 = –2x
Divide both side by –2
x = 2 / –2
x = –1
Draw the following regular polygons inscribed in a circle:
square
pentagon
hexagon
octagon
decagon
For each polygon, include the following information in the paragraph box below:
What was the central angle you used to locate the vertices? Show your calculation.
What is the measure of each interior angle of the polygon? Show your calculation.
Answer the questions below.
What is the relationship between the central angle and the interior angle?
As the number of sides increases, how do the angles change?
Answer:
Step-by-step explanation:
Firstly we draw the circle marking its center point.
Then we choose an arbitrary point anywhere on the circumference of the circle.
Then we draw a line connecting the point and the center of the circle.
Now, we mark the next vertex of polygon on the circumference of the circle by measuring an angle with respect to the first line drawn from the center of the circle.
The measurement of the angle is based upon no. of vertices (=no. of side) of the polygon. We divide the full round angle 360° with the no. of vertices and obtain the angle between the each consecutive vertices from the center of the circle since the polygons are regular.
Polygons with the no. of vertices is as follows:
square -- 4
pentagon -- 5
hexagon -- 6
octagon -- 8
decagon -- 10
For decagon the central angle between each consecutive vertex:
[tex]\angle_{10}=\frac{360}{10}[/tex]
[tex]\angle_{10}=36^o[/tex]
For octagon the central angle between each consecutive vertex:
[tex]\angle_{8}=\frac{360}{8}[/tex]
[tex]\angle_{8}=45^o[/tex]
For hexagon the central angle between each consecutive vertex:
[tex]\angle_{6}=\frac{360}{6}[/tex]
[tex]\angle_{6}=60^o[/tex]
For pentagon the central angle between each consecutive vertex:
[tex]\angle_{5}=\frac{360}{5}[/tex]
[tex]\angle_{5}=72^o[/tex]
For square the central angle between each consecutive vertex:
[tex]\angle_{4}=\frac{360}{4}[/tex]
[tex]\angle_{4}=90^o[/tex]
The internal angle of a regular polygon is calculated as:
[tex]\angle=180-\frac{360}{n}[/tex] where, n = number of sides (=vertices)
for example, in case of hexagon interior angle is:
[tex]\angle=180-\frac{360}{6}[/tex]
[tex]\angle=180-60[/tex]
[tex]\angle=60^o[/tex]
As the no. of sides increase the interior angles widen up and their values increase, which the central angle between the consecutive vertices decrease.
Answer:
The other person is definitely getting Brainlest thank you so much for your answer. YOU ARE A LIFE SAVER. :D XD.
Please give him/her Branliest ;D
Finish solving the system of equations –9.5x – 2.5y = –4.3 and 7x + 2.5y = 0.8 using the linear combination method.
1. Determine which variable will be eliminated: y will be eliminated because –2.5y and 2.5y are opposite terms.
2. Add the equations together to create a one-variable linear equation: –2.5x = –3.5
3. Solve to determine the unknown variable in the equation: x = 1.4
4. Substitute the value of the variable into either original equation to solve for the other variable.
The solution to the system is (
9514 1404 393
Answer:
(x, y) = (1.4, -3.6)
Step-by-step explanation:
4. We choose to substitute into the second equation because it has positive coefficients.
7(1.4) +2.5y = 0.8
9.8 +2.5y = 0.8 . . . . simplify
2.5y = -9.0 . . . . . . . subtract 9.8
y = -3.6 . . . . . . . . . . divide by 2.5
The solution to the system is (x, y) = (1.4, -3.6)
Question 1 of 10
Which function results after applying the sequence of transformations to
f(x) = x5?
• shift left 1 unit
• vertically compress by
3
• reflect over the y-axis
Answer: B) [tex]f\left(x\right)=\frac{1}{3}\left(-x-1\right)^{5}[/tex]
Step-by-step explanation:
When graphing x5 the parent function and plugging in the equation for B the only equation that fits the criteria of
*shifting left 1 unit
*vertically compressed by 1/3
*reflect over the y-axis
So the answer is B
The function after the transformation is f ( x ) = ( 1/3 ) ( -x + 1 )⁵
How does the transformation of a function happen?The transformation of a function may involve any change.
Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs), etc.
If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:
Horizontal shift (also called phase shift):
Left shift by c units: y=f(x+c) (same output, but c units earlier)
Right shift by c units: y=f(x-c)(same output, but c units late)
Vertical shift:
Up by d units: y = f(x) + d
Down by d units: y = f(x) - d
Stretching:
Vertical stretch by a factor k: y = k × f(x)
Horizontal stretch by a factor k: y = f(x/k)
Given data ,
Let the function be represented as f ( x )
Now , the value of f ( x ) is
f ( x ) = x⁵
On reflecting over the y axis , we get
f ( x ) = ( -x )⁵
On vertically compressing by a factor of ( 1/3 ) , we get
f ( x ) = ( 1/3 ) ( -x )⁵
And , shifting 1 unit to the left , we get
f ( x ) = ( 1/3 ) ( -x + 1 )⁵
Hence , the transformed function is f ( x ) = ( 1/3 ) ( -x + 1 )⁵
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For a school show, Garima wants to arrange 42 flower pots in such a way that each column has an equal number of pots. Which of these could be the number of flower pots in a column?
Answer: She can either arrange them in 7 columns or 6 columns.
Step-by-step explanation:
We are given:
Total number of pots = 42
In order to arrange the pots in the same number of columns so that each column has an equal number of pots, we will find out the factors of 42.
42 = 6 × 7
42 = 1 × 42
Garima can arrange 6 pots in 7 columns or 7 pots in 6 columns so as to have equal number of pots.
Hence, she can either arrange them in 7 columns or 6 columns.
solve in attachment....
Answer:
2 ( Option A )
Step-by-step explanation:
The given integral to us is ,
[tex]\longrightarrow \displaystyle \int_0^1 5x \sqrt{x}\ dx [/tex]
Here 5 is a constant so it can come out . So that,
[tex]\longrightarrow \displaystyle I = 5 \int_0^1 x \sqrt{x}\ dx [/tex]
Now we can write √x as ,
[tex]\longrightarrow I = \displaystyle 5 \int_0^1 x . x^{\frac{1}{2}} \ dx [/tex]
Simplify ,
[tex]\longrightarrow I = 5 \displaystyle \int_0^1 x^{\frac{3}{2}}\ dx [/tex]
By Power rule , the integral of x^3/2 wrt x is , 2/5x^5/2 . Therefore ,
[tex]\longrightarrow I = 5 \bigg( \dfrac{2}{5} x^{\frac{5}{2}} \bigg] ^1_0 \bigg) [/tex]
On simplifying we will get ,
[tex]\longrightarrow \underline{\underline{ I = 2 }}[/tex]
Answer:
A)2
Step-by-step explanation:
we would like to integrate the following definite Integral:
[tex] \displaystyle \int_{0} ^{1} 5x \sqrt{x} dx[/tex]
use constant integration rule which yields:
[tex] \displaystyle 5\int_{0} ^{1} x \sqrt{x} dx[/tex]
notice that we can rewrite √x using Law of exponent therefore we obtain:
[tex] \displaystyle 5\int_{0} ^{1} x \cdot {x}^{1/2} dx[/tex]
once again use law of exponent which yields:
[tex] \displaystyle 5\int_{0} ^{1} {x}^{ \frac{3}{2} } dx[/tex]
use exponent integration rule which yields;
[tex] \displaystyle 5 \left( \frac{{x}^{ \frac{3}{2} + 1 } }{ \frac{3}{2} + 1} \right) \bigg| _{0} ^{1} [/tex]
simplify which yields:
[tex] \displaystyle 2 {x}^{2} \sqrt{x} \bigg| _{0} ^{1} [/tex]
recall fundamental theorem:
[tex] \displaystyle 2 ( {1}^{2}) (\sqrt{1} ) - 2( {0}^{2} )( \sqrt{0)} [/tex]
simplify:
[tex] \displaystyle 2 [/tex]
hence
our answer is A
1.Una granja tiene gallinas y vacas. En total hay 58 cabezas y 168 patas. ¿Cuántos gallinas y cuantas vacas hay?
Answer:
no c
Step-by-step explanation:
The triangles are similar.
What is the value of x?
Enter your answer in the box.
the difference in the measure of two complementary angle is 28 degrees. find the measure of these angles.please answer this question.
Answer:
Hey
Step-by-step explanation:
Answer:
9
Step-by-step explanation:
because i said so
PLEASE HELP !!!!!!!!!!!!
9. The approximate height, h, in metres, travelled by golf balls hit with two different clubs over a horizontal distance of d metres is given by the following functions:
-Seven Iron: h= -0.002d^2+0.3d
-Nine Iron: h=-0.004d^2+0.5d
a) At what distances is the ball at the same height when either of the clubs is used?
B) What is this height?
(I need to use a ti-84 calculator in order to find the answer)
Answer:
The ball will reach the same height of 10 meters after 100 meters.
Part A)
100 meters.
Part B)
10 meters.
Step-by-step explanation:
The golf-ball hit by the Seven-Iron is modeled by the equation:
[tex]h=-0.002d^2+0.3d[/tex]
And the ball hit by the Nine-Iron is modeled by the equation:
[tex]h=-0.004d^2+0.5d[/tex]
Where h is the height of the ball after d meters.
When they are at the same height, the two equations will equal each other.
Graphically, this is where the two graphs will intersect.
To solve this using a Ti-84, you can follow these steps (I'm using the Ti-84 Plus Silver Edition):
1) Using [Y=], write and then [GRAPH] the two equations.
2) Press [ZOOM] and [ZOOM OUT] until you can see both graphs clearly.
3) To find the intersection point, press [2ND] and then [CALC] (above [TRACE]).
4) Choose [5) Intersect].
5) Using the arrow keys, click on one graph to choose it as your first curve and the other to choose it as your second curve. (In this case, it doesn't matter which one is which.)
6) When it asks you to guess, put the cursor to as close to the intersection point as possible. Ignore the intersection at the origin point.
7) Press [ENTER], and it should give you your solution.
Therefore, the intersection point (not counting (0,0)) is at (100, 10).
Therefore, the ball will reach the same height of 10 meters after 100 meters.
What is the center of the circle: .22 + y2 = 4
Jack plants a vegetable garden. The garden is the shape of a rectangle. He wants to put a fencing around the entire garden
Step-by-step explanation:
you need to find the lenght and breadth of the rectangle
If you flip a penny, toss a 1–6 number cube, and flip a quarter, how many outcomes are possible?
Answer:
6x 2 = 12
Step-by-step explanation:
Answer:
24
EXPLANATION:
there's 4 different outcomes for the Penny and Quarter combos
- P Heads and Q Heads
- P Tails and Q Heads
- P Heads and Q Tails
- P Tails and Q Tails
Each of those outcomes will have one of six numbers so I just figured
6 outcomes for number cube × 4 outcomes for P and Q (penny and quarter)
6 × 4 = 24
:)
For a project in his Geometry class, Mamadou uses a mirror on the ground to measure the height of his school's football goalpost. He walks a distance of 13.75 meters from his school, then places a mirror on flat on the ground, marked with an X at the center. He then steps 2.6 meters to the other side of the mirror, until he can see the top of the goalpost clearly marked in the X. His partner measures the distance from his eyes to the ground to be 1.75 meters . How tall is the goalpost? Round your answer to the nearest hundredth of a meter .
Answer:
Height of the goalpost is 9.25 m.
Step-by-step explanation:
As per the rule of reflection in physics,
Angle of incidence = Angle of reflection
As we can see in the picture attached, both the angles (θ) are equal.
m∠ACB = m∠ECD = 90° - θ
m∠ABC = m∠ADC = 90°
Therefore, both the triangles ΔABC and ΔEDC will be similar.
And by the property of similar triangles, their corresponding sides will be proportional.
[tex]\frac{AB}{ED}= \frac{CB}{CD}[/tex]
[tex]\frac{1.75}{ED}=\frac{2.6}{13.75}[/tex]
ED = [tex]\frac{1.75\times 13.75}{2.6}[/tex]
ED = 9.25 m
Height of the goalpost is 9.25 m.
Someone tell me where everyone is going right please !!
Answer:
A 2
B 1
C 4
D 3
Step-by-step explanation:
( ) means not including (also used for infinity)
[ ] means including
The answer choices are in interval form, showing all the possible answer choices between two numbers and if the answer choice includes or excludes a number using the () []
Explanation for A:
x < 7.8 means x won't include 7.8 since the symbol is "less than" and not "less than or equal to".
x can be anything, it just has to be less than 7.8, so the answer is:
2 (-infinity, 7.8)
Explanation for B:
x <= 7.8 means x will include 7.8 since the symbol means "less than or equal to".
x can be anything, it just has to be less than or equal to 7.8, so the answer is:
1 (-infinity, 7.8]
Explanation for C:
x >= 7.8 means x will include 7.8 since the symbol means "greater than or equal to".
x can be anything, it just has to be greater than or equal to 7.8, so the answer is:
4 [7.8, infinity)
Explanation for D:
x > 7.8 means x won't include 7.8 since the symbol means "greater than" and not "greater than or equal to".
x can be anything, it just has to be greater than 7.8, so the answer is:
3 (7.8, infinity)
Hope it helps (●'◡'●)
Answer:
A:2 B:1 C:4 D:3
Step-by-step explanation: