Answer:
[tex](\frac{55}{2} ,\frac{37}{2} )[/tex]
Step-by-step explanation:
We have to solve this system of equations in order to find the numbers :
Let x be greater number and y be the smaller one :
[tex]\begin{cases}x-y=9\ \ \ (1)&\\ x+y=46\ \ \ (2)&\end{cases}[/tex]
[tex]\Longleftrightarrow \begin{cases}y=x-9\ \ \ (1)&\\ 2x=9+46=55\ \ \ (1)+(2)&\end{cases}[/tex]
[tex]\Longleftrightarrow \begin{cases}y=\frac{55}{2} -9=\frac{37}{2} &\\ x=\frac{55}{2}&\end{cases}[/tex]
Question
Find the surface area of the regular pyramid.
Answer:
Surface area:The sum of all the sides to a figure.Given that the area of the base is 440.4, all we would need to find out is the sum of all the areas of the triangles surrounding it.
Formula for area of a triangle:
A = BH x 1/2
Where 'B' represents the base, 'H' stands for the height, and 1/2 simply means to divide the product of those two lengths(base and height) by 2.
Plug in what we know:-
A = BH x 1/2
A = 16(20) x 1/2
A = 320 x 1/2
A = 320/2
A = 160 mm is the area of one triangle, but we want to know the area of all 5 triangles, so;
160(5)
= 800 mm is the area of all the triangles.
Now add the base area to the area of all the triangles.
440.4 + 800
= 1,240.4 mm.
Therefore the surface area of this pyramid is 1,240.4 mm.
Answer:
1240.4 mm²
Step-by-step explanation:
The surface area of a pyramid = Area of the all sides + Area of base
Each side is a triangle.
With a regular pentagonal pyramid, the area of each triangle is
A = 1/2 x base x slant height
For the 5 triangles,
A = 5 x 1/2 x base x slant height = 1/2 x 5 x slant height
Substitute values,
A = 5 x 1/2 x 16mm x 20mm = 800 mm²
Area of base = 440.4 mm²
Surface area of a pyramid = 800 + 440.4 mm² = 1240.4 mm²
what is the solution set for 2x2+15=-11x
Answer:
2x^2+11x+15=0
factor
2x^2+6x+5x+15=0
2x(x+3)+5(x+3)=0
(2x+5)(x+3)=0
x=-3 and x=-5/2
PLEASE HELP PLEASE PLEASE
Answer:
C but if its not correct pls tell me. :)
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
The formula for volume is length × width × height
2×1×2= 4
3×1×1= 3
4×1×2= 8
3×1×3= 9
So D has the biggest volume.
Terrance draws a triangle with sides of 10 cm, 11 cm, and 12 cm with angle measures of 55°, 60°, and 65°. Which of the following is a possible way to classify the triangle by side and angle measurements?
A. Obtuse and isosceles
B. Acute and scalene
C. Obtuse and equilateral
D. Acute and equilateral
Answer:
Acute and Scalene
Step-by-step explanation:
The measurments of the triangle are all almost equal and all the angles are less than 90 degrees, so all of them are acute angles. The scalene triangle has almost all equal sides.
The possible way to classify the triangle by side and angle measurements is,
⇒ Acute and scalene.
What is mean by Angle?An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.
We have to given that;
Terrance draws a triangle with sides of 10 cm, 11 cm, and 12 cm with angle measures of 55°, 60°, and 65°.
Since, All the angles are less than 90 degree.
Hence, It shows the Acute angle.
Here, Terrance draws a triangle with sides of 10 cm, 11 cm, and 12 cm.
Clearly, All the sides of triangle are not same in length.
Thus, It shows scalene.
Thus, The possible way to classify the triangle by side and angle measurements is,
⇒ Acute and scalene.
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What is the length of segment NS?
1 unit
2 units
4 units
6 units
Answer: 4 units
Step-by-step explanation:
Answer:
c. 4 units
Step-by-step explanation:
please help me with this its due in 15 minutes plus ill need help with more
Answer:
171 Square Feet
Step-by-step explanation:
We first cut the figure up into smaller parts...
we then use the formula (L x W = A) to find the area
L = Lenth
W = Width
the first rectangle (1)...
15 x 5 = 75
the second figure (2)...
8 x 9 = 72
the third figure (3)...
6 x 4 = 24
now we have to add up all the values to find the area of the entire figure...
75 + 72 + 24 = 171
Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Also remember to rate answers to help other students, While leaving thanks to answers that help you. Have a great day!
is this a funcation? (5,8) (7,0) (0,5) (5,2) (9,1)
A box contains 20 lightbulbs, of which 5 are defective. If 4 lightbulbs are picked from the box randomly, the probability that at most 2 of them are defective is
Answer:
938/969
Step-by-step explanation:
Got it right on edmentum
could anyone help me with this?
Answer:
C
Step-by-step explanation:
What is the value of x in the diagram?
Answer:
C. 20(degree symbol)
Step-by-step explanation:
lol I couldn't find the degree symbol so I just did that
hope this helps :)
Evaluate the expression
If x=5
24x + 16
What happens to a number when you multiply by 1000? Why does this happen?
Answer:
the number will get 1000 times larger than its original number or 3 zeroes will be added in the last place of the number
Step-by-step explanation:
let's say x=5,
if we multiply 5 by 1000 it becomes 5000 (it is 1000 times more or larger than its orignal number and 3 zeroes are added in 5000).
PLEASE HELP PLEASE PLEASE HELP
Answer:
Angle A.
Step-by-step explanation:
A angle is the greatest measure because it is the widest. The wider the angle the more the angle is.
Consider the line 2x+6y= -4. What is the slope of a line perpendicular to this line? What is the slope of a line parallel to this line?
Answer:
the slope of the line perpendicular to that line is 6/2
Step-by-step explanation:
Find the slope of the original equation by putting it into y=mx + b form
2x+6y=-4 Given
2x-(2x)+6y=-4-(2x) Subtract 2x from both sides
6y= -2x -4 Simplify
6y/6= -2x/6 -4/6 Divide both sides by 6
y= -2/6 x - 4/6 Simplify
*perpendicular slopes are opposite reciprocals*
-2/6 = slope
2/6 is the opposite of -2/6
6/2 is reciprocal of 2/6
((-6) + 7 - 3) x 2 divided by 4. Order of operations? I think the answer is -1.
Answer:
-1
Step-by-step explanation:
The order of operation (PEMDAS) states that:
P - ParenthesisE - ExponentsM - MultiplicationD - DivisionA - AdditionS - SubtractionGiven expression:
[{(-6) + 7 - 3} x 2] ÷ 4We can see that "-6" is the integer that is inside the parenthesis "( )". Therefore, we can open the parenthesis "( )".
⇒ [{-6 + 7 - 3} x 2] ÷ 4Simplify the expression inside the curvy brackets "{ }" using PEMDAS.
⇒ [{1 - 3} x 2] ÷ 4 [PEMDAS]⇒ [{-2} x 2] ÷ 4 [PEMDAS]Now we can open the curvy brackets "{ }".
⇒ [-2 x 2] ÷ 4Simplify the expression inside the long brackets "[ ]" using PEMDAS.
⇒ [-4] ÷ 4Finally, open the long brackets "[ ]" and simplify the expression obtained.
⇒ -4 ÷ 4 ⇒ -1What is the range and domain!!
PLEASE HELP I WILL GIVE OUT MORE POINTS AND MARK BRAINIST ONLY IF YOU RIGHT I DO CHECK IT BUT PLEASE AND THANK YOU
Answer:
Domain: 0 ≤ x ≤ 50
Range: 0 ≤ y ≤ 100
Step-by-step explanation:
Information
Domain: set of all possible input values (x-values)
Range: set of all possible output values (y-values)
Closed circle: less than or equal to and greater than or equal to (≤ or ≥)
Open circle: less than or greater than (< or >)
Domain
From inspection of the diagram:
minimum value of x = 0maximum value of x = 50Closed circle at the beginning and end of the lineTherefore, the domain is: 0 ≤ x ≤ 50
Range
From inspection of the diagram:
minimum value of y = 0maximum value of y = 100Closed circle at the beginning and end of the lineTherefore, the range is: 0 ≤ y ≤ 100
Question 5
O Mark this question
22
5.3
A manufacturing company has two plants at different locations producing three different
items equally within each plant. Based on the number of workers and the demand for
the items in their respective locations, the number of items manufactured per day by
each plant is listed in the table.
5.4 T
5.4
5.4
Plant A
Plant B
5.4
Item 1
22
15
5.4
Item 2
00
8
12
5.4.
Item 3
14
25
5.5 An
5.5.1
Select the observed and expected frequencies for Item 2 produced by Plant B.
5.5.2
5.5.3
Observed: 12
5.5.4
The observed and expected frequencies for Item 2 produced by Plant B will be 12 and 17.3.
What is an observed frequency?It should be noted that observed frequency simply means counts that are made from experimental data.
Here, the observed frequencies for Item 2 produced by Plant B is 12. The expected frequency will be:
= (15 + 12 + 25)/3
= 52/3
= 17.3
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Different events have the following likelihoods.sort them from least to greatest:
x+6/x=-7 rational equation
x=-6.
x=-1.
Step-by-step explanation:
# Brainliest Bunch
Step-by-step explanation:
a man bought a second hand radio set for 180. he spend 45 for repair and sold it for 270 what was his profit percentage
Hewo Pls Answer the questions below TY!
Answer:
dont worry if people report you for a answer that is not right lol trust me i know
Step-by-step explanation:
which correctly gives the slope and y-intercept of the line represented by the equation below x-y=2
Answer:
y int = -2
slope = 1
Step-by-step explanation:
x-y=2
-y=-x+2
y=x-2
y int = -2
slope = 1
Answer:
Slope = 1
Y-intercept = -2
Step-by-step explanation:
First, we will put it into slope-intercept form.
x - y = 2
x = y + 2
y = x - 2
This gives us the slope of one and the y-intercept being -2.
Check attachments for more information on slope-intercept form as well as the line graphed.
PLEASE I NEED HELP. WILL MARK BRAINLEST
NO ANSWER IN FILES PLEASE
There are 9 balls numbered 1 through 9 placed in a bucket. What is the probability of reaching into the bucket and randomly drawing four balls numbered 6, 9, 8, and 7 without replacement, in that order? Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.
Using the permutation formula, as the order is important, it is found that there is a 0.000331 probability of selecting the balls in the desired order.
What is the permutation formula?The number of possible permutations of x elements from a set of n elements is given by:
[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]
In this problem, 4 balls will be taken from a set of 9, hence the total number of outcomes is:
[tex]P_{9,4} = \frac{9!}{5!} = 3024[/tex]
The desired outcome is only one, hence the probability is given by:
p = 1/3024 = 0.000331.
There is a 0.000331 probability of selecting the balls in the desired order.
More can be learned about the permutation formula at https://brainly.com/question/25925367
an eqaution is shown 6x-3=3x+12 solve for x
Answer:
x=5
Step-by-step explanation:
6x-3=3x+12. Subtract 3x from both sides.
3x-3+12. Add 3 to both sides.
3x=15. Divide 3 from both sides.
x=5
find the area of the shaded region. Use the formula A= pie r^2 to find the area of a circle
Answer:
(π6x+21π)m²
Step-by-step explanation:
Solution,
For small circle
radius(r)=x+2
Area(A1)=πr²
Area(A1)=π×(x+2)²
Area(A1)=π×(x²+4x+4)
Area(A1)=πx²+π4x+4π
For big circle
radius(r)=x+5
Area(A2)=πr²
Area(A2)=π×(x+5)²
Area(A2)=π×(x²+10x+25)
Area(A2)=πx²+π10x+25π
Again,
Area of shaded part=A2-A1
Area of shaded part=πx²+π10x+25π-(πx²+π4x+4π)
Area of shaded part=πx²+π10x+25π-πx²-π4x-4π
Area of shaded part=π6x+21π
Complete the first 4 steps for graphing the quadratic function given. (Use ^ on the keyboard to indicate an exponent.) Then graph the quadratic function. Be sure to label the axes and vertex.
y = -x^2 - 4x - 3
( Thanks in advance!! )
The quadratic equation y = -x^2 - 4x - 3 has a degree of 2
The vertex of the function is (-2,1)
How to graph the function?The equation of the function is:
y = -x^2 - 4x - 3
Differentiate
y' = -2x - 4
Set to 0
-2x - 4 = 0
Solve for x
x = -2
Substitute -2 for x in y = -x^2 - 4x - 3
y = -(2)^2 - 4(-2) - 3
y = 1
The above means that the vertex of the function is (-2,1)
See attachment for the graph of the function
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Can you help me with this?
Answer:
(2,-3) and (49/29, -108/29)
Step-by-step explanation: Assuming this is an exam and time is limited, first you gotta sketch the circle for clarity. Using the standard circle equation
(x-a)^2 + (y-b)^2 = r^2
(x-1)^2 + (y+3)^2 =1
You can always expand to verify it gives x^2 + y^2 - 2x + 6y + 9=0
Now you know (a,b) which is also the center of the circle being= (1,-3) and the radius(r) = 1
Your first assumption here even without drawing the circle is that it has to be in the fourth quadrant meaning all values of x for any point of intersection on that circle has to be +ve. Looking at your answer choices only c with is (2,-3) and (49/29, -108/29) fulfills this hence it is your answer.
Also you have to realize point (2,-3) on the straight line has same y coordinates with center of this circle.
The table below shows the number of people in a spinning class each day last week.
What is the mean number of people in a class?
Based on the information provided, the mean number of people in a class is 21 people.
How to calculate the mean number of people?To calculate the mean number, the general formula is the total of people in the class/ number of classes.
Then, let's find the total of people in classes by adding the number of people that are in class every day:
13+23+24+31+14 = 105 people in total
Number of classes: 5 classes or 5 days
The mean number of people in a class: Divide the total of people by the number of classes
105 / 5 = 21 people per class in average
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How many millimeters are in 5 centimeters?
5 mm
50 mm
500 mm
5,000 mm
Answer:
50 mm
Step-by-step explanation: i did the test and i got it right
Answer:
50 millimeters are in 5 centimeters. You have to multiply the value by 10 to get your answer when converting centimeters to millimeters.
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Questions related to this topic? Ask me in the comments box.
The interior angles formed by the sides of a quadrilateral have
measures that sum to 360°
What is the value of x?
Enter your answer in the box.
|(2x + 3) (2x + 3)
X =
Answer:
2x3=6.
so I think it is either 6 or 12
2x3=6
Answer:
it's 59 I hope this helps
What is the surface area?
Answer:
130 in^2.
Step-by-step explanation:
It has 8 faces
Surface area = 4*2 + 1*2 + 3*2 + 5*2 + 7*2 + 6*2 + 6*7-3 + 6*7-3
= 8+2+6+10+14+12+39+39
= 130 in^2.