For 45-45-90 degree triangle
The length of other two legs: 5
For 30-60-90 degree triangle
The shorter leg= 3.53
The larger leg = 6.11
Step-by-step explanation:
length of Hypotenuse = [tex]\sqrt{50}[/tex]
We need to find possible lengths of the two legs of this triangle.
If the triangle is 45-45-90 degree triangle the length of other two sides would be same and can be found by:
[tex]Length\,\,of\,\,leg:\frac{\sqrt{50} }{\sqrt{2} } \\Length\,\,of\,\,leg:5[/tex]
Since both legs are of same size so, length of other leg = 5
If the triangle is 30-60-90 degree triangle then:
To find shorter length: Divide hypotenuse by 2.
To find other side length: Multiply shorter length by [tex]\sqrt{3}[/tex]
The shorter leg = [tex]\frac{\sqrt{50} }{2}= 3.53[/tex]
The other leg (larger) = [tex]3.53\times \sqrt{3} =6.11[/tex]
Solve the system of equations shown by substitution. y=x-5 5x+2y=4
Answer:
x=2,y=-3
Step-by-step explanation:
y=x-5....(1)
5x+2y=4...(2)
Let's substitute (1) into (2)
5x+2(x-5)=4
5x+2x-10=4
7x-10=4
Add 10 to both sides
7x=14
Divide both sides by 7
x=2
Substitute the value for x into (1)
y=x-5
y=2-5
y=-3
Therefore x is 2,y is-3
Answer:
x = 2, y = -3
Step-by-step explanation:
y= x - 5
5x + 2y = 4
5x + 2(x - 5) = 4
5x + 2x - 10 = 4
7x = 14
x = 2
y = 2 - 5
y = -3
Find the equation of the axis of symmetry of the following parabola algebraically:
y=-5x²+20x
Answer:
x= 2
Step-by-step explanation:
hello :
y= -5x²+20x a= -5 b= 20
the axis symmetry is the line when an equation is : x = -b/2a
x= -(20)/2(-5)
x= 2
The equation of axis of symmetry of the given parabola is x =2
What is a parabola?A parabola is a plane curve drawn so that any point on it is the same distance from the focus and the directrix.
Given is an equation of parabola, y= -5x²+20x
a= -5 b= 20
the axis of symmetry is the line when an equation is : x = -b/2a
x= -(20)/2(-5)
x= 2
Hence, The equation of axis of symmetry of the given parabola is x =2
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Complete the missing value in the solution to the equation -4x-y=24. (__,8)
We are given y.
-4x - 8 = 24
~Add 8 to both sides
-4x - 8 + 8 = 24 + 8
~Simplify
-4x = 32
~Divide -4 to both sides
-4x/-4 = 32/-4
~Simplify
x = -8
Best of Luck!
Answer:
(56,8)
Step-by-step explanation:
-4x-y=24
-y=4(8)+24
-y=32+24
-y=56
y=56
Which of the following would be the most effective means of controlling current water pollution of United States surface
waters?
Answer:
Reducing storm runoff and erosion. This would be the most effective means of controlling current water pollution of US surface waters.
What is the surface area of the cone? Express your answer in terms of π.
Answer:
surface area of a cone = 132.935πft
Step-by-step explanation:
to find the surface area of a cone
given that
radius = 5ft
height of cone = 21ft
recall that the formulae for finding the surface area of a cone = πr( r + √ h² + r²)
so,
surface area of a cone = πr( r + √ h² + r²)
surface area of a cone = π x 5( 5 + √ 21² + 5²)
surface area of a cone = 5π ( 5 + √ 441 + 25)
surface area of a cone = 5π( 5 + 21.587)
surface area of a cone = 5π (26.587)
surface area of a cone = 132.935πft
Which point on the number line represents 18?
A) E.
B) F
C) G
D) H
Answer:
E
Step-by-step explanation:
The square root of 18 is about 4.2, which means that it is slightly larger than 4. The only letter on the number line that fits this description is letter E. Hope this helps!
Point E is the location on the number that represents √18. Then the correct option is A.
What is a number line?A number line refers to a straight line in mathematics that has numbers arranged at regular intervals or portions along its width. A number line is often shown horizontally and can be postponed in any direction.
The expression in the radical form is given below.
⇒ √18
We know that the value of the radical expression in the decimal number will be 4.24.
Then the location of the point will be after 4 and before 5.
The point E is the location on the number that represents √18. Then the correct option is A.
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In 2004 there were approximately 5820 cinema sites. In 2000 there were 6700 cinema sites. a. Write an equation describing the relationship. Use ordered pairs of the form (years past 2000, number of cinema sites). b.Use the equation to predict the number of cinema sites is 2009.
The equation describing the relationship between the number of cinema sites and years past 2000 is y = -220x + 6700. To predict the number of cinema sites in 2009, substitute x = 9 into the equation, resulting in a predicted value of 4720.
Explanation:To write an equation describing the relationship between the number of cinema sites and years past 2000, we can use the slope-intercept form of a linear equation, which is y = mx + b. In this case, y represents the number of cinema sites and x represents the years past 2000.
The slope (m) can be found using the formula (change in y)/(change in x), and the y-intercept (b) can be found by substituting one set of ordered pairs into the equation.
From 2000 to 2004, the change in years past 2000 is 4, and the change in the number of cinema sites is -880. Therefore, the slope (m) is -880/4 = -220.
We can substitute the ordered pair (0, 6700) into the equation to find the y-intercept (b).
So, the equation describing the relationship is y = -220x + 6700, where y is the number of cinema sites and x is the years past 2000.
To predict the number of cinema sites in 2009, we substitute x = 9 (since 2009 is 9 years past 2000) into the equation:
y = -220(9) + 6700
y = -1980 + 6700
y = 4720.
Therefore, the predicted number of cinema sites in 2009 is 4720.
Which of the following is true of the data set represented by the box plot?
box plot with point at 16, min at 33, Q1 at 40, median at 52, Q3 at 55, max at 78, and point at 86
Answer:
Removing the outliers would not affect the median.
Step-by-step explanation:
Consider quadrilateral BCEF inscribed in circle A. Diagonals EB and CF intersect at point D. Select all the statements that are true about the diagram above
Answer:
[tex]m\angle ECB+m\angle EFB=180[/tex]
[tex]m\angle CDB\cong m\angle EDF[/tex]
[tex]m\angle CDB+m\angle DCB+m\angle CBD=180 \degree[/tex]
Step-by-step explanation:
From the diagram, quadrilateral BCEF is a cyclic quadrilateral.
Opposite angles if a cyclic quadrilateral sum up to 180°
[tex]m\angle ECB+m\angle EFB=180[/tex]
The diagonals intersect at D to form two pairs of vertical angles, and vertical angles are congruent.
[tex]m\angle CDB\cong m\angle EDF[/tex]
Also sum of angles in triangle CBD is 180°.
[tex]m\angle CDB+m\angle DCB+m\angle CBD=180 \degree[/tex]
Aliya draws a scale model of her mother's garden. The actual garden's measurements are 35 feet by 50 feet.
On the drawing, the length of the garden is 5 inches. What is the width of the garden on the scale drawing?
3.5 in.
2.0 in.
2.5 in.
3.0 in.
Answer:
3.5 in. if the 35 feet side is the width
Step-by-step explanation:
Profit definition in a number
Answer:
I'm unaware if this is what you're looking for? ♀️
Step-by-step explanation:
Your revenue minus your costs for goods or services is your gross profit. It follows a basic Sales – Cost = Profit equation. You're just subtracting a different category of cost. When you have your gross profit figure, use that number to determine your total profit. Sales – Cost = Profit
Help :( look at picture
Answer: A≈201.06
We know the diamter is 8 and we're using Pi.
A=πr²
=π·8²
8 x 8 = 64
Now we multiply this by using Pi, it says Pi is 3.14. Therefore we multiply that by 64.
64 x 3.14 = 200.96
I hope this helped, have a good day!
Choose the correct product of (8x − 4)(8x + 4).
64x^2 − 16
64x^2 + 16
64x^2 − 64x + 16
64x^2 + 64x + 16
Step-by-step explanation:
It is in the form of a² - b²
so it's correct product is
64x² - 16
so the answer is of option A.
Hope this will help u...:)
Please answer correctly, show all steps you did to solve this problem, and i will mark brainliest to best answer
Answer:
Since the values vary from 0.5 to 4.5, let's take 5 intervals of width 1 unit each
(Lower boundary is included, upper boundary is not)
Average
no. of --------> frequency
movies
_______ __________
0 - 1 --------------> 1
1 - 2 --------------> 5
2 - 3 --------------> 5
3 - 4 --------------> 2
4 - 5 --------------> 1
For frequencies, just count the data values in each interval
Which expression is equal to 10/√50
Please show work thx:)
so the right answer is of option B....
Answer:
√2
Step-by-step explanation:
According to the question
10/√50
So it can also be written as
10/√25×2
10/√25×√2
10/5√2
Divide both by 5
2/√2
Rationalize
2/√2 ×√2/√2
2√2/2
Divide both by 2
√2
Therefore the answer is√2
vanessa invested $2500 into an account that will increase in value 3.5% each year. write an exponential function, then find the value of the investment after 20 years
Answer: A = 2500 (1.035)^n
A= $ 4,974.47
Step-by-step explanation:
A=P(1+r)^n
A= Amount
P= Principal
R= rate
N= # of years
A= 2500(1.035)^n
N=20
2500(1.035)^20
A= 4,974.47
The commutative property does not apply to which of the following operations?
A
division only
B
subtraction only
division and subtraction
addition and subtraction
- Ав
Kevin buys 5.5 lb of sliced ham for $30.80 at that unit price how much will 7 lb of sliced ham cost
5.5 : 30.80 = 7 : x
x = 7 * 30.80 / 5.5 = $39.20
Answer: $39.20
Answer:
39.20 dollars
find the discrimant of 7x^2+3x+9=0
Answer:
I don't know what that is
Approximately how much fabric of each color will be needed to make a single parachute canopy?
88.5 ft
88.5 ft²
265.5 ft
265.5 ft²
Answer:b)88.5 ft squared
Step-by-step explanation:
Answer:
B) 88.5 ft²
Step-by-step explanation:
Which of the following numbers are composite?
1
31
56
91
Answer: 56!
Step-by-step explanation: all of the numbers except 56 do not have any factors except one and itself. you can also tell in this case, that 56 is automatically composite because the ones digit is 6- an even number, meaning it can be divisible by two.
Answer:
56
Step-by-step explanation:
A composite number is a number that can be divided evenly by more numbers than 1 and itself. The number 56 can be evenly divided by 1, 2, 4, 7, 8, 14, 28 and 56, (with no remainder). Since 56 cannot be divided by just 1 and 56, it is a composite number.
Hopefully this helps!
PLS HELP ME I NEED HELP DESPERATELY I ALSO NEEDA SHOW WORK PLS I POSTED THIS QUESTION SM TIMES W OUT NO HELP ME HELP ME
Answer:
x = 3
Step-by-step explanation:
vertical line mean x always constant
Answer:
x=3
Step-by-step explanation:
The equation for a vertical line is x=a, where a is any value
You plug in the point, and get x = 3
I need help with this ??
Answer: dang good luck with that
Step-by-step explanation:
sorry
What are the binomial factors of the polynomial x^3-x^2-49x+49
a. (x-1),(x-7),(x+7)
b. (x+1),(x-7),(x+7)
c. (x-1),(x-7)
d. (x+1),(x+7)
Answer:A
Step-by-step explanation:
Just took the ed test
what is the approximate area of the circle show below
Answer:
C
Step-by-step explanation:
The area of a circle can be found using
a=πr^2
First, we need to find the radius, because we have the diameter
The radius is half of the diameter
r=d/2
r=16/2
r=8
Substitute 8 in for r in the area formula
a=πr^2
a=π8^2
a=π64
a=201.06192983 cm^2
Approximately 201 cm^2, or choice C
Hope this helps!
the sum of two numbers increased by 5
Answer:
If the sum is x, x+5
Step-by-step explanation:
The sum of the two numbers x+y = a, increased by 5, a+5.
The sum of two numbers increased by 5 to be determined.
What is the sum?The sum is defined as the addition of two or more values.
Here,
Let the two numbers be x and y.
their sum is x+y = a(let)
Now the sum is increased by 5.
=a+5
Thus, the sum of the two numbers x+y = a, increased by 5, a+5.
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please please help me
Answer:
13 and 16 are functions.
If the x does not repeat,it is a function
Which of the following measureemnts is the most percise?
A. 1 liter
B. 137 millilliters
C. 1,378 liters
D. 137 kiloliters
Answer:
B: 137 ml. (It`s the smallest unit of measurment out of all the choices)
Step-by-step explanation:
It izz wat it izzzz!!!
:)
Which number is the square of an integer and could also be the cube of another integer?
1)121
2)100
3)64
4)16
Answer:
64
Step-by-step explanation:
64= 8² and 64=4³
The other choices will give you decimals.
Jonathon paid $237 for 15 pizzas, which included the $12 delivery charge. How much will he pay for 22 pizzas
Jonathon will pay $342 for 22 pizzas.
Initially, Jonathon paid $237 for 15 pizzas, which included the $12 delivery charge. To find the cost per pizza, we first subtract the delivery charge from the total amount.
Total without delivery charge = $237 - $12 = $225
Now, we divide this amount by the number of pizzas to find the cost per pizza.
Cost per pizza = $225 / 15 = $15
For 22 pizzas, we multiply the number of pizzas by the cost per pizza and then add the delivery charge.
Total cost for 22 pizzas = (22 x $15) + $12 delivery charge
= ($330) + $12
= $342
Therefore, Jonathon will pay $342 for 22 pizzas.