Answer:
IJ = 6
Step-by-step explanation:
This is a 30-60-90 triangle.
The ratio of the lengths of the sides is:
1 : sqrt(3) : 2
The short leg is the length of the long leg divided by sqrt(3).
The hypotenuse is twice the length of the short leg.
IK = JK/sqrt(3) = 3sqrt(3)/sqrt(3) = 3
IJ = 2IK = 2(3) = 6
Why is the sell price always higher than the buy price?
Answer:
Sell price is not always higher than the buy price.
When there is profit, sell price is higher than the buy price.
When there is loss, sell price is lower than the buy price.
Step-by-step explanation:
Answer:
Currency numeric Value is always worth different in another country
Step-by-step explanation:
When talking about Currency you have to understand that the United Nations has not set up a universal currency yet, so countries are still using the currency that they started using hundreds of years ago.
In the example of exchanging Yen to USD. In numeric value 1 Yen is worth about $0.0093 USD.
Whereas USD to Yen the exchange rate is 1 USD is about 106.99 Yen. Because of the United States value to the 1 dollar bill.
The graphs below have the same shape.What is the equation of the red graph ?
Answer:
B. G(x) = x³ - 5
Step-by-step explanation:
The graphs below are the same shape. They share the same formula but different y-intercepts.
F(x) = x³ has a y-intercept of 0.
F(x) = x³ + 0
G(x) has a y-intercept of -5.
G(x) = x³ - 5
Answer:
x^3 - 5
Step-by-step explanation:
The half life of uranium-232 is 68.9 years.
a) If you have a 100 gram sample, how much would be left after 250 years?
b) If you have a 100 gram sample, how long would it take for there to be 12.5 grams remaining?
Xiao Duo and Xiao Hua have the same number of balloons. After Xiaoduo used 16 balloons, Xiaohua's balloons were 3 times that of Xiaoduo. How many balloons does Xiaohua have?
Answer:
Step-by-step explanation:
Let the number of balloons be X
Xiao Duo = X
Xiao Hua = X
Xiaoduo used 16 balloons = x - 16
Xiaohua balloons x = 3 ( x - 16)
x = 3x - 48
Collect like terms
48 = 3x - x
48 = 2x
Divide both sides by 2
48/2= x
x = 24
Xiaohua has 24 balloons
pls help,look at picture attached (giving 10 points)
Answer:
just cuase u answered mine x=8
Step-by-step explanation:
good luck
There are 130 people in a sport centre, 73 people use the gym, 62 people use the swimming pool, 58 people use the track, 22 people use the gym and pool, 29 people used the pool and track, 25 people use the gym and track, 11 people use all three facilities, how many people use at least two facilities
Answer:
59/130
Step-by-step explanation:
How many one-half cubes with dimensions of 1/2x1x1 fit in a unit cube? 1
2
4
6
Answer:
Option 2
Step-by-step explanation:
A cube with 1/2 * 1* 1 will have a volume of 0.5 cubic cm
While a unit cube has a volume of 1 cubic cm
So,
2 cubes of these dimensions can fit into a unit cube.
Answer:
2
Step-by-step explanation:
volume of the unit cube:
V = 1 * 1 * 1 = 1
volume of the half-cube:
V = 1/2 * 1 * 1 = 1/2
number of half cubs that fit in unit cube:
1/(1/2) = 2
Answer: 2
what's the best prouduct of these fractions 4/7×8/9×14/15
━━━━━━━☆☆━━━━━━━
▹ Answer
448/945
▹ Step-by-Step Explanation
[tex]\frac{4}{7} * \frac{8}{9} \\\\= \frac{32}{63} \\\\\\\frac{32}{63} * \frac{14}{15\\} \\\\= \frac{448}{945}[/tex]
Hope this helps!
- CloutAnswers ❁
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
Answer:
Step-by-step explanation:
4/7×8/9×14/15
= 64/135
the ratio 2.5m to 60cm can be written in the form 1:n find the value of n. someone please help asap
Answer:
1 : 6/25
Step-by-step explanation:
Convert 2.5 meters to cm
We know 100 cm = 1m
2.5 m * 100cm / 1m = 250 cm
250 cm : 60 cm
Divide by 250
250/250 = 60/250
1 : 6/25
or as a decimal
1 : .24
A solid oblique pyramid has an equilateral triangle as a base with an edge length of 4StartRoot 3 EndRoot cm and an area of 12StartRoot 3 EndRoot cm2. What is the volume of the pyramid?
This question is incomplete. Find attached to this answer the required diagram.
Answer:
16√3 cm³
Step-by-step explanation:
Volume of a pyramid = 1/3 × Base area × Height
The base area is given as 12√3 cm²
But the height is not given
From the attached diagram an angle was given
Using Trigonometric function of Tangent
tan = Opposite/Adjacent
Opposite = Height of the pyramid
Adjacent = base length of the pyramid = 4√3
Hence,
tan 30° = opposite/4√3
Cross multiply
Opposite = tan 30° × 4√3
Opposite = Height of the pyramid = 4 cm
Volume of a pyramid = 1/3 × Base area × Height
= 1/3 × 12√3 × 4
= 16√3 cm³
Answer:
B. 16√3 cm³
Step-by-step explanation:
Just took the Pre-Test on Edg (2020-2021)!!
What is the name of the map maker who, according to some, gave Venezuela its name? Salvador Dali Christopher Colombus Amerigo Vespucci Leonardo Da Vinci
The answer is C. Amerigo Vespucci
Explanation:
Venezuela is a South-American country that was first discovered and colonized by Spanish explorers. This process included multiple expeditions that allowed colonizers to better understand the features of the territory and native people. One of these expeditions that took place in 1499, included the Italian mapmaker, Amerigo Vespucci. About this, it is claimed he considered the territory and the houses found near a lake resemble Venice, and due to this, he named the territory as "Veneziola", which later changed to the modern name Venezuela.
Answer:
c c a d c
Step-by-step explanation:
answers to the quiz edge got 100% source trust bro
A rectangle has a perimeter of 66 meters and a height of 14.2 meters. What is the length of the base?
Hey there! I'm happy to help!
The perimeter is the distance around the rectangle. You have used the word height, but I will replace it with the word width because the word height is usually used with 3D shapes.
If W is the width and the length is L, the formula for the perimeter is 2W+2L=P.
We can plug in the numbers we already have to solve for L, the length of our base.
2(14.2)+2L=66
28.4+2L=66
We subtract 28.4 from both sides.
2L=37.6
We divide both sides by 2.
L=18.8
The length of the base is 18.8 meters.
Have a wonderful day!
When it is 4:00 a.m. in Honolulu, it is 2:00 p.m. in London. Just before Paul’s flight from Honolulu to London, he called his friend Nigel, who lives in London, asking what kind of clothing to bring. Nigel explained that London was in the middle of some truly peculiar weather. The temperature was currently 30°C, and was dropping steadily at a rate of 1°C per hour. Paul’s flight left Honolulu at 12:00 p.m. Thursday, Honolulu time, and got into London at 1:00 p.m. Friday, London time. What kind of clothing would have been appropriate for Paul to be wearing when he got off the plane?
Answer:
Paul should be wearing a light jacket appropriate for about 59 F or 15 °C
Step-by-step explanation:
If it is 4:00 a.m. in Honolulu when it is 2:00 p.m. in London, then the difference between times is:
[tex]d=14-4\\d=10\ hours[/tex]
London is 10 hours ahead of Honolulu.
If Paul left Honolulu at 12:00 p.m, the corresponding time in London was:
[tex]t=12+10\\t=22 = 10:00\ p.m.[/tex]
Since he arrived in London at 1:00 p.m. at Friday, the flight time was:
[tex]F= (24-22)+13\\F=15\ hours[/tex]
The flight took 15 hours in total. If the temperature was 30°C when he boarded the flight and it decreases at a rate of 1°C per hour, the temperature when Paul arrives in London is:
[tex]T=30-(15*1)\\T=15^oC[/tex]
Converting it to Fahrenheit
[tex]T=(15*\frac{9}{5})+32 \\T=59\ F[/tex]
Paul should be wearing a light jacket appropriate for about 59 F or 15 °C
Answer:
d
Step-by-step explanation:
can someone help me solve this
Find the value of x^3 + y^3 + 12xy – 64, when x +y = 4
Answer:
0
Step-by-step explanation:
Using the algebraic identity
(x + y)³ = x³ + y³ + 3xy(x + y) ← substitute x + y = 4
4³ = x³ + y³ + 12xy , that is
x³ + y³ + 12xy = 64 ( subtract 64 from both sides )
x³ + y³ + 12xy - 64 = 0
Answer:
the answer is zero
Step-by-step explanation:
x^3 + y^3 + 12xy – 64 factorize the polynomial
x^3+y^3-4^3+3(4xy) 64 is 4^3
take x+y-4 as a common factor
(x+y-4)(x^2-xy+4x+y^2+4y+16) substitute x+y=4
(4-4)(x^2+y^2-4^2-3xy)
=0 any amount multiply by zero =0
Can someone help me with this question please
A pile of 55 coins consisting of nickels and dimes is worth $3.90 . Find the number of each.
Answer:
Answer:
Answer is: 32 nickels and 23 dimes.
x - number of nickels .
y -number of dimes.
two equations in two unknowns:
1) x + y = 55
2) 0,05x + 0,1y = 3,90.
nickel is a five-cent coin.
dime is a ten-cent coin.
solve equation 1) for x and substitute for x in equation 2)
x = 55 - y
0,05·(55 - y) + 0,1y = 3,902,75 - 0,05y + 0,1y = 3,90
0,05y = 1,15
y = 23.
x = 55 - 23 = 32.
Robbie scores 78 in his test, Adam scores 54. By how much percentage% is Robbie's score better than Adam's? Please give a step-by-step explanation, thanks
Answer:
44%
Step-by-step explanation:
1% of 54 is 0.54
78/0.54=144.444444
-100% b/c that's the base
44% better
Question 15 PLEASE HELP Find the y-intercepts of -x+2y=12. Y-intercept: (0,___)
Answer:
(0,6)
Step-by-step explanation:
the sum of 4 and the second power of b is equal to 104. write as an equation
Answer:
4 + b² = 104
Hope this helps. :)
Answer:
b^{2} + 4 = 104.
Step-by-step explanation:
The sum of 4 and the second power of b basically means 4 + b^2.
b^2 + 4 = 104
[tex]b^{2} + 4 = 104[/tex]
b^2 = 100
b = plus or minus 10.
Hope this helps!
Find the area of the shape shown below.
Answer:
31.5
Step-by-step explanation:
To find the area of this shape we must divide it into 2 parts :
Part 1 : the triangle Area= (3*(7/2))/2= 10.5 Part 2: the rectangle Area = 7*3 = 21 The total area is : A= 21+10.5=31.5Hope is a single taxpayer who earns $45,000 per year in taxable income working as a salesperson. She has $200 in long-term capital gains on an investment that cost her $4,250 to purchase. Compute the tax on her investment to determine the after-tax return on investment (ROI).
A. 3%
B. 4%
C. 5%
D. 7%
E. 8%
Answer:
B. 4%
Step-by-step explanation:
Since Hope earns $45,000 per year in taxable income, she falls under the second tax bracket (income higher than $40,000) for long term capital gains = 15%.
Her total capital gain was $200 x (1 - 15%) = $170 in net after tax earnings
her return on investment = net after tax earnings / total investment = $170 / $4,250 = 0.04 = 4%
Answer: 4%
Step-by-step explanation:
Please help! If P(A)=0.2 and P(A and B)=0.12, and P(A or B)=0.68, what is P(B)?
0.8
0.08
0.6
0.06
Answer:
P(B) = 0.6
Step-by-step explanation:
P(A and B) = P(A) * P(B)
0.12 = 0.2 * P(B)
P(B) = 0.6
P(A or B) = P(A) + P(B) - P(A and B)
0.68 = 0.2 + P(B) - (0.12)
P(B) = 0.6
A point A is graphed at (0, 5). Complete the coordinates of a shape that can be rotated about the y-axis to create a cone. Provide an explanation for your answer please
Answer:
(0, 5), (0, 1), and (3, 1).
Step-by-step explanation:
If the shape should be rotated about the y-axis to make a cone, then the shape needs to be a right triangle. It will have its length on the y-axis, and the other length either parallel to, or on, the x-axis.
Since we already have a point at (0, 5), we can have another point at (0, 1). That means that the side length is 4. Now, we can make a 3-4-5 right triangle by having another point at (3, 1).
Hope this helps!
wILL GIVE BRAINLIST Examine the diagram and information to answer the question. A circle in the coordinate plane has a radius of 6 and a center at the point (3,2). Point (x,y) lies on the circle. The triangle formed by points (3,2), (x,2) and (x,y) is a right triangle. What is the equation of the circle? Match the expression or equation to the steps used to find the equation of the circle.
Step 1: Find the length of the vertical leg of the right triangle
Step 2: Find the length of the horizontal leg of the right triangle.
Step 3: Use the Pythagorean Theorem to find the equation of the circle
answERS:
(x−3)2+(y−2)2=6^2
(x−2)2+(y−3)2=6^2
|y−3|
|y−2|
|x−3|
|x−2|
Answer: To find the equation of the circle, it is not necessary to find the legs of the triangle first.
The length of the legs (equal) is 3√2 or 4.243
Step-by-step explanation:
The equation for a circle is similar to the Pythagorean Theorem
a² + b² = c²
( x - h )² + ( y - k )² = r², where ( h, k ) is the center and r is the radius.
The a and b terms are changed to allow insertion of h and k to locate the center of the circle on a Cartesian plane.
You can get the information needed from
Given: radius =6 and "a center at the point (3,2)"
Substitute 3 for h and 2 for k and 6 for r
( x - 3 )² + ( y - 2 )² = 6² This is the equation of the circle .
From the diagram, it appears that x-3 = y-2
So, in the equation, we can substitute 2(x²) = 36
x² = 36/2 . x² = 18
√x² = √18 = √9(2)
x = 3√2 =4.2426
the length of the horizontal leg is 4.243
Substitute for x in to find x+3 the coordinate (x,2)
the coordinate x, 2 is (7.24, 2)
Substitute for y in to find y+2, the length of the vertical leg is 4.243.
y + 2 = 6.243
So the coordinate (x,y) on the circle is (7.24, 6.24)
This does not account for Step 1 and Step 2 in the question, matching expressions or equations to the steps. I hope you will be able to sort that our with the information here.
Which one doesn’t belong and why?
i think y= b^x because it is only the odd one from the group
What is 1/2 + 1/3 + 1/4 - (.2 +.3 +.4)? Express your solution as a simplified fraction.
Answer:
2
Step-by-step explanation:
1/2+1/3+1/4 - 0.9
0.9 = 9/10
So, 1/2+1/3+1/4+9/10
The LCD is 60:
30/60+20/60+15/60+54/60 = 120/60
120/60 = 2
PLEASE MARK ME BRAINLIEST!
Answer:
2
Step-by-step explanation:
ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.
Answer: B. H(t) = -6.9(t - 2.3)² + 112
Step-by-step explanation:
The vertex form of a quadratic equation is: y = a(x - h)² + k
where (h, k) is the vertex ⇒ k is the maximum height
the distance traveled is when y = 0 ⇒ [tex]x=\sqrt{\dfrac{-k}{a}}+h[/tex]
Given: H(t) = -7.1(t - 2.3)² + 98
maximum height (k) = 98 feet
distance traveled (x) = [tex]\sqrt{\dfrac{-98}{-7.1}}+2.3[/tex] = 6.02 seconds
A) H(t) = -7.5(t - 2.2)² + 112
maximum height (k) = 112 feet
distance traveled (x) = [tex]\sqrt{\dfrac{-112}{-7.5}}+2.2[/tex] = 6.06 seconds
B) H(t) = -6.9(t - 2.3)² + 112
maximum height (k) = 112 feet
distance traveled (x) = [tex]\sqrt{\dfrac{-112}{-6.9}}+2.3[/tex] = 6.33 seconds
C) H(t) = -6.9(t - 2.4)² + 95
maximum height (k) = 95 feet
This has a lower height than the given equation.
D) H(t) = -7.5(t - 2.3)² + 95
maximum height (k) = 95 feet
This has a lower height than the given equation.
Both options A and B travel higher and stay in the air longer than last year's winner, however option B stays in the air longer than option A.
Please help; thank you! :D ((I would offer some points, but I'm new and I don't know how that works lol))
Answer/Step-by-step explanation:
Given that the side length of a squared field is represented by the expression 3 - 7x,
a. Perimeter of the squared field (expressed as a sum):
Permimeter of a square = s + s + s + s
All sides of a square are of equal length.
s = side length of the squared field = 3 - 7x
Thus,
Perimeter expressed as a sum = (3-7x) + (3-7x) + (3-7x) + (3-7x)
b. Permitted of squared field expressed as a product:
Perimeter of square expressed as product = 4(s)
s = side length of squared field = 3 - 7x
Permimeter of squared field expressed as a product = 4(3 - 7x)
c. An equivalent expression for the product in (b) can be written using the distributive property as follows:
Perimeter = 4(3 - 7x)
Perimeter = 4(3) - 4(7x)
degree 4, x=-1, x=1/5 are both zeros with multiplicity 2. What is the expression for the plynomial p(x) with these numbers?
Answer:
p(x) = (x + 1)²(5x - 1)²
Step-by-step explanation:
Since we are given the 2 zeroes, we put them into binomial form:
(x + 1)(5x - 1)
We are also given that we have the polynomial degree of 4, and both zeroes have a multiplicity of 2. Therefore, both roots are powered by 2:
(x + 1)²(5x - 1)²
When we multiply it out, we should get a polynomial with a degree of 4.