Answer: 6.3 m
Step-by-step explanation:
"8% more" = 1.08 (which is 1+0.08). "10% less" = 0.90 (which is 1-0.10).
first = 5.25
her_best = 1.08*first
her_best = 0.90*winning
Substitute to determine the winning jump's length.
winning = 1.08*5.25/0.90 = 6.3
So, the winning jump was 6.3 meters.
A 20-foot ladder leans against a wall so that it is 16 feet high at the top. The ladder is moved so that the base of the ladder travels toward the
wall twice the distance that the top of the ladder moves up. How much higher is the top of the ladder now? (Hint Let 12 – 2x be the distance from
the base of the ladder to the wall.)
х
2x
The top of the ladder is
feet higher now.
Answer:
3.2 ft
Step-by-step explanation:
The initial distance from the base of the ladder to the wall is:
[tex]20^2=16^2+d^2\\d=12\ ft[/tex]
After moving the ladder, the distance from the base to the wall is 12 - 2x while the height of the ladder is 16 + x. The distance x is given by:
[tex]20^2 = (12-2x)^2+(16+x)^2\\400 = 144-48x+4x^2+256+32x+x^2\\5x^2-16x=0\\5x=16\\x=3.2\ ft[/tex]
Therefore, the top of the ladder is 3.2 ft higher now.
Answer:
3.2ft higher
Step-by-step explanation:
Which equation is equivalent to the following?
4x^2 + 4y^2 +16x – 24y = 34
Please answer it:(
Answer:
The correct answer is the third expression.
Step-by-step explanation:
We have the following equation:
[tex]4*x^2 + 4*y^2 + 16*x - 24*y = 34[/tex]
Let's organize it by variables, putting together the ones that have the same letter or no letter at all. We have:
[tex]4*x^2 + 16*x + 4*y^2 - 24*y = 34[/tex]
We can extract the common factor on the left side by dividing them by 4, we have:
[tex]4*(x^2 + 4*x) + 4*(y^2 - 6*y) = 34[/tex]
We need to complete the squares on the parenthesis without changing the value of the equation, to do that we will sum the proper values inside the parenthesis and those multiplied by four on the other side of the equation, we have:
[tex]4*(x^2 + 4*x + 4) + 4*(y^2 - 6*y + 9) = 34 + 16 + 36\\4*(x + 2)^2 + 4*(y - 3)^2 = 86[/tex]
The correct answer is the third expression.
how many diagonals are there in a polygon of 6o sides
Answer:
9 diagonals
Bit by bit clarification:
Number of Diagonals = n(n-3)/2
For instance, in a hexagon, the complete sides are 6.
Along these lines, the complete diagonals will be 6(6-3)/2 = 9.
Answer:
9 diagonals hope its helpful
A farmer has 3000 feet of fencing to use on a new enclosure. The new enclosure will go up against existing fencing so one side does not need additional fencing. If the farmer wants to subdivide the enclosure to have 3 pens, what is the maximum total area the farmer can enclose?
Answer:
375000 ft^2
Step-by-step explanation:
From the statement that we have that it would be 1 time the length and 2 times the width because one side is not necessary and also we must take into account that it would be divided by 3 equal enclosures therefore we will use 1000 feet (3000/3) so Therefore, the perimeter would be equal to:
1000 = l + 2 * w
we solve for w:
l = 1000 - 2 * w
Also the area is equal to:
A = w * l
replacing:
A = w * (1000 - 2 * w)
A = 1000 * w - 2 * w ^ 2
We derive:
A '= 1000 - 4 * w
Let's equal 0:
1000 - 4 * w = 0
w = 1000/4
w = 250
replacing and we calculate l:
l = 1000 - 2 * 250
l = 500
A = 250 * 500
A = 15,000 ft ^ 2
Which means that for each subdivision the maximum area would be 125000 square feet and the total would be:
125000 * 3 = 375000 ft ^ 2
Justin and Alexis were Dave and Busters. What you need to pay an initial fee of $ 5.00 and a price per game. Justin played 5 games and paid $ 12.50 in total. Alexis played 7 games and paid $ 15.25 in total. We can express the relationship between the number of games played and the total cost with the ordered pairs (5, 12.75) and (7, 15.25).
Find the rate of change and explain the importance of the rate of change in terms of the problem.
Answer:
The equation of the relationship is y = 1.25x + 6.5
Step-by-step explanation:
I graphed the ordered pairs on the graph below and found the slope and y-intercept of the line.
The price per game is $7.75. (If needed)
-a+(-b) where a= 6.05 and b= 3.611
Answer:
-9.661
Step-by-step explanation:
In the given equation, a and b are negative. The values of a and b are given. If you insert the values into the given formula, the values become negative because of "-" in front of the a and b values.
-a + (-b) = -6.05 + (-3.611)
Because the second value is negative, the plus sign references to adding BOTH negative values together so it is just the same as saying:
-6.05 - 3.611
This gives you -9.661
Hope this helps!
In a group of 17 pupils, 2 play the flute only. 11 play the piano only. 1 plays neither instrument. A student is selected at random. What is the probability the student plays both instruments?
Answer:
6
Step-by-step explanation:
idk
A boy saves up $79 for a gift for his friend. However, upon reaching the store, he realizes that he saved 257% of the actual amount he needed to buy the present. How much does the present cost? Round to the nearest cent.
Hint: This is a Part = Percent × Whole problem.
You're given the part (79) and the percent (257%, or 2.57).
Substitute these into the equation to find the whole.
Answer:
$30.74
Step-by-step explanation:
A bag contains 9 red marbles, 18 orange marbles, 2 yellow marbles, and 5 purple marbles. A marble is drawn at random from the bag. What is the probability that the marble drawn will not be orange?
Answer:
8/17
Step-by-step explanation:
total balls= 9 + 18 + 2 + 5 = 34
balls drawn should NOT be Orange.
so, 34 - 18 (as there are 18 orange balls)
16 balls
probability= 16/34 = 8/17
answer = 8/17
Question attached Simultaneous equations
Answer:
9 spoons knives =12
9 spoons cost= £ 82.80
total no of 1 knife = 12x9 = 108
1 knife = 82.80 x 108 = 8,94, 240
so, 1 knife Cost's =£ 8,94,240
Please answer correctly !!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!
Answer:
25
Step-by-step explanation:
To find the constant
take the coefficient of x
10
divide by 2
10/2 =5
Square it
5^2 =25
Add this
x^2 +10x+25
Which is the best description of the equivalency of the two expressions?
Expression 1
Expression 2
5 x squared minus 2 x minus 4 + 6 x + 3
6 x squared minus 6 x + 6 minus x squared + 10 x minus 7
Answer:
The answer is option D
Took the quiz
Answer: They are equivalent because when x=2, the two expressions have the same value.
Step-by-step explanation:
What is x? Im having trouble
Answer:
These are two secant lines meaning we can use theorem 6-17 to find the value of x: 6x + 8x times 8x = 16 times 7
14x times 8x = 112
112x^2 = 112
x^2 = 1
x = 1
Answer:
x=1
Step-by-step explanation:
(whole secant) x (external part) = (whole secant) x (external part)
(9+7) *7 = (6x+8x)*8x
16*7 = 14x*8x
112 =112 x^2
Divide by 112
112/112 = 112x^2/112
1 = x^2
Take the square root
1 =x
A rectangle or prism with a volume of three cubic units is filled with Cubes with side length of one for a few how many 1/4 unit does it take to fill the prism
Answer:
192 cubes.
Step-by-step explanation:
The volume of each cube = (side)³ = (1/4)³ = 1/64 units ³
Next is to find how many cubes are needed to fill the prism.
The number of cubes that will fill the prism :
Vol. of prism / Vol. of cube = 3 / [tex]\frac{1}{64}[/tex]
=192 cubes.
Therefore, it takes 192 cubes to fill the prism.
There are 300 boys in a mixed school. If the ratio of the boys to the girls is 4:5 what is the total number of students in the school?
｡☆✼★ ━━━━━━━━━━━━━━ ☾
4 : 5
300 : ?
Divide 300 by 4 to find out what '1 part' would count as:
300/4 = 75
Multiply this by 5
75 x 5 = 375
Add the two values together
375 + 300 = 675
There are 675 students
Have A Nice Day ❤
Stay Brainly! ヅ
- Ally ✧
｡☆✼★ ━━━━━━━━━━━━━━ ☾
Step-by-step explanation:
Number of boys=300
Ratio of boys to girls=4:5
let the number of girls=y
300/y=4/5
Cross multiply
300×5=4×y
1500=4y
Divide through both sides by 4
1500/4=4y/4
374=y
Number of girls is 375
Total number of students=Number of boys+Number of girls
Total number of students=300+375
Total number of students=375
The formula for the slant height of a cone is t equals StartFraction S minus pi r squared Over pi EndFraction. , where S is surface area of the cone. Use the formula to find the slant height, l, of a cone with a surface area of 500π ft2 and a radius of 15 ft.
Answer:
275 ft
Step-by-step explanation:
The formula given to use for the slant height l of the cone is ;
l = (s - πr^2)/π
Now substituting the parameters given in the question, 500 π for area and radius of 15, we have
l = {500π-15^(2)π}/π
l =( 500 π -225 π)/π
l = 275 π/π
l = 275 ft
Answer:
275
Step-by-step explanation:
^ and what they said
Somebody, please help me!! I will mark the brainiest
Answer:
65 = <JKL
Step-by-step explanation:
There are two expressions that represent the same thing.
The diagram shows that <JKL = 45 + x
The question states that JKL = 3x + 5
The two expressions must be equal since they represent the same thing.
3x + 5 = x + 45
Subtract 5 from both sides
3x + 5 - 5 = x + 45 - 5
3x = x + 40 Subtract x from both sides
3x - x = x - x + 40
2x = 40 Divide by 2
2x/2 = 40/2
x = 20
So x + 45 = 20 + 45 = 65
or
3x + 5 = 3*20 + 5 = 60 + 5 = 65
^^^
Quickly answer please
Answer:
400
Step-by-step explanation:
Find the area of the compound shapes below !Please help
Answer:
86cm
Step-by-step explanation:
Answer:
Step-by-step explanation:
the first figure is rectangle , so
length = 15cm, breadth = 6cm
therefore area = l * b = 15*6 = 90cm^2
second figure is also a rectangle so,
length = 12+6 =18 cm ( or 9+9) , breadth = 9cm
therefore area = l*b =18*9 = 162cm^2
third figure is a semicircle , so
d = 11+9 = 20 cm , r = d/2 =20/2 =10cm
area of semicircle = [tex]1/2[/tex] * [tex]\pi * r^2\\[/tex]
=1/2*22/7 *10*10
=1100/7 = 157 1/7 cm^2
if you add all the areas then you will get the requires area
hope it helps you
All i have to ask is what is this polygon or figure called ???? Picture is supplied
Answer:
Step-by-step explanation:
rectangle + semicircle
= 8*6 + pi r^2/2
=48 + 22/7 * 3/2 * 3/2
then simplyn..
Answer:
The figure is a rectangle and a semicircle
Step-by-step explanation:
What is the value of the expression i To the power of 1 times I to the power of 2 times I to the power of 3 times I to the power of 4
Answer:
-1
Step-by-step explanation:
[tex]i^1\cdot i^2\cdot i^3\cdot i^4= \\\\i^{1+2+3+4}= \\\\i^{10}= \\\\-1[/tex]
Hope this helps!
(8 + 2 x 6)2 =
the two at the end before the equals is a squared number is a small 2
The expression [tex](8 + 2 \times 6)^2[/tex], following PEMDAS, simplifies to 400.
Let's break down the steps in solving the expression [tex](8 + 2 \times 6)^2[/tex] in more detail (Follow PEMDAS).
Step 1: MultiplicationWe start by evaluating the multiplication operation, which is 2 x 6. The result of this operation is 12.
Step 2: AdditionNext, we evaluate the addition operation, which is 8 + 12. The sum of 8 and 12 is 20.
Step 3: SquaringFinally, we square the result of the addition, which is 20. Squaring a number means multiplying it by itself. In this case, [tex]20^2[/tex] means 20 multiplied by 20, which equals 400.
Therefore, the expression [tex](8 + 2 \times 6)^2[/tex] simplifies to 400.
Learn more about PEMDAS here:
https://brainly.com/question/36185
#SPJ4
Mark created a flower bed that is semicircular in shape, as shown in the image. The diameter of the flower bed is 5m. What is the perimeter of the flower bed? (Approximate to be 3.14.) Round your answer to two decimal places.
Answer:
12.85
Step-by-step explanation:
P=1/2(3.14xd)+d
P=1/2x15.7+5
P=12.85
What expression has a positive value
The measure of angle 1 is (10 x + 8) degrees and the measure of angle 3 is (12 x minus 10) degrees. what is the measure of angle 2 in degrees?
Answer:
82 degrees
Step-by-step explanation:
First set 10x+8 equal to 12x-10 to find that the variable is equal to 9. Then solve for 10(9)+8 which equals 98. Since angle 1 is supplementary to angle two and supplementary angles add up to 180 degrees, subtract 98 from 180 to find that your answer is 82 degrees.
The graph below shows the relationship between population density and pollution per person for 36 Japanese cities.
What is the best description of this relationship?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
Positive linear association
(Choice B)
B
Negative linear association
(Choice C)
C
Nonlinear association
(Choice D)
D
No association
Graph:
Answer: D . No association
Step-by-step explanation:
The relationship between two variable is called correlation.
When two variables has positive correlation ( When one variable increases by increasing the other) then it reprsesents Positive linear association .When two variables has negative correlation ( When one variable decreases by increasing the other) then it reprsesents Negative linear association .When two variables in which change in one variable does not correspond with constant change in the other variable, then it represents Nonlinear association.If two variables are not interdependent such that if one increasing then there is no proportional change in the other variable, then we say there is no correlation.Hence, the correct option is D. No association.
Hi There. (Choice D) Is The Right Answer.
Step-by-step explanation:
A contractor is building a circular swimming pool. The radius of the circle 12 feet. He needs to know the
circumference in order to buy tile to put around the edge of the pool.
What is the circumference if he uses n=2217 ?
Answer:
75.41 ftStep-by-step explanation:
This problem is on the mensuration of flat shape, a circle.
we know that the circumference of a circle is expressed as
[tex]C= 2\pi r[/tex]
Given that radius = 12 ft
The circumference can be solved for by substituting the value of r in the formula
C=2*3.142*12
C= 75.408ft
to 2 d.p the circumference is 75.41 ft
please help will mark brainliest
Answer:
see below
Step-by-step explanation:
2* (4*8) = (2*4) * 8
This is the associative property of multiplication
Two hikers start a trip from a camp walking 15 miles due east. They turn north and walk 17 miles to a large pond. How far is the pond from base camp to the nearest tenth of a miles.
Answer:
22.7 miles
Step-by-step explanation:
The hikers start walking 15 miles due east and then they turn north and walk 17 miles to a large pond.
The shape of their journey can be represented as a right angled triangle, shown below.
To find the distance between the pond and the base camp, we need to find the hypotenuse of the triangle.
We can do this by using Pythagoras theorem:
[tex]hyp^2 = a^2 + b^2[/tex]
where a and b are the other two sides of the triangle. Therefore:
[tex]hyp^2 = 15^2 + 17^2\\\\hyp^2 = 514\\\\hyp = \sqrt{5`4} \\\\hyp = 22.7 miles[/tex]
The pond is 22.7 miles far from the base camp.
The angle \theta_1θ
1
theta, start subscript, 1, end subscript is located in Quadrant \text{II}IIstart text, I, I, end text, and \cos(\theta_1)=-\dfrac{12}{19}cos(θ
1
)=−
19
12
cosine, left parenthesis, theta, start subscript, 1, end subscript, right parenthesis, equals, minus, start fraction, 12, divided by, 19, end fraction .
What is the value of \sin(\theta_1)sin(θ
1
)sine, left parenthesis, theta, start subscript, 1, end subscript, right parenthesis?
Answer:
[tex]sin\theta_1 = \dfrac{\sqrt{217}}{19}[/tex]
Step-by-step explanation:
It is given that:
[tex]cos\theta_1 = -\dfrac{12}{19}[/tex]
And we have to find the value of [tex]sin\theta_1 = ?[/tex]
As per trigonometric identities, the relation between [tex]sin\theta\ and \ cos\theta[/tex] can represented as:
[tex]sin^2\theta + cos^2\theta = 1[/tex]
Putting [tex]\theta_1[/tex] in place of [tex]\theta[/tex] Because we are given
[tex]sin^2\theta_1 + cos^2\theta_1 = 1[/tex]
Putting value of cosine:
[tex]cos\theta_1 = -\dfrac{12}{19}[/tex]
[tex]sin^2\theta_1 + (\dfrac{12}{19})^2 = 1\\\Rightarrow sin^2\theta_1 + \dfrac{144}{361} = 1\\\Rightarrow sin^2\theta_1 = 1-\dfrac{144}{361}\\\Rightarrow sin^2\theta_1 = \dfrac{361-144}{361}\\\Rightarrow sin^2\theta_1 = \dfrac{217}{361}\\\Rightarrow sin\theta_1 = +\sqrt{\dfrac{217}{361}}, -\sqrt{\dfrac{217}{361}}\\\Rightarrow sin\theta_1 = +\dfrac{\sqrt{217}}{19}, -\dfrac{\sqrt{217}}{19}[/tex]
It is given that [tex]\theta_1[/tex] is in 2nd quadrant and value of sine is always positive in 2nd quadrant. So, the answer is.
[tex]\Rightarrow sin\theta_1 = \dfrac{\sqrt{217}}{19}[/tex]
Answer:
− square root 15/4
Step-by-step explanation:
