The area of triangle UVW to the nearest square inch is approximately 2 square inches.
The area of triangle UVW can use the Heron's formula:
Area = √(s(s-a)(s-b)(s-c))
s is the semiperimeter of the triangle and a, b and c are the lengths of its sides.
First, we can calculate the semiperimeter s:
s = (u + v + w)/2
s = (5.5 + 4.4 + 9.6)/2
s = 9.75
The length of each of the three sides of the triangle:
a = v = 4.4 inches
b = u = 5.5 inches
c = w = 9.6 inches
Then, we can plug these values into the Heron's formula and simplify:
Area = √(s(s-a)(s-b)(s-c))
Area = √(9.75(9.75-4.4)(9.75-5.5)(9.75-9.6))
Area = √(9.75(5.35)(4.25)(0.15))
Area ≈ √(3.296)
Area ≈ 1.81
Rounding this to the nearest square inch, we get:
Area ≈ 2 square inches
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This proportion can be solved to find the unknown length, x
, in the smaller triangle.
Answer:
x=3
Step-by-step explanation:
1.25/5.00=2/8=x/12=1/4
12=x×4
x=12÷4
x=3
what is the surface area of 10 in 10 in 10in
The surface area of a three dimensional shape is the total area of all of the faces. To find the surface area of a shape, we find the area of each face and add them together. E.g. The measurements here are in centimetres so the surface area is measured in square centimetres ( c m 2 ) (cm^2) (cm2).
8) John wishes to make a line
plot of the heights in inches for a soccer team. The heights are
listed below. How many dots
would be above the greatest
height recorded?
Answer options
1
2
3
4
There are three dots above the greatest height.
We have,
The greatest height is 75
The smallest height is 62
Now,
We can make a line plot as:
* *
* * * * *
* * * * *
62 66 68 72 75
Thus,
There are three dots above the greatest height.
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Which of the following function pairs are inverses?
Question 3 options:
A)
B)
C)
f (x) = x2 – 16 and g(x) = x – 4
D)
The function pairs that are inverses are:
C) f(x) = 5x - 3 and g(x) = (x + 3)/5
To determine if two functions are inverses, we need to check if applying one function and then the other function will return the original input.
Let's go through each option:
A) f(x) = -2x and g(x) = (1/2)x
To check if they are inverses, we can apply function f(g(x)) and see if it returns x:
f(g(x)) = f((1/2)x) = -2(1/2)x = -x
Since f(g(x)) = -x ≠ x, these functions are not inverses.
B) f(x) = 4x² and g(x) = √x
To check if they are inverses, we can apply function f(g(x)) and see if it returns x:
f(g(x)) = f(√x) = 4(√x)² = 4x
Since f(g(x)) = 4x = x, these functions are not inverses.
C) f(x) = 5x - 3 and g(x) = (x + 3)/5
To check if they are inverses, we can apply function f(g(x)) and see if it returns x:
f(g(x)) = f((x + 3)/5) = 5((x + 3)/5) - 3 = x + 3 - 3 = x
Since f(g(x)) = x, these functions are inverses.
D) f(x) = x² - 16 and g(x) = x - 4
To check if they are inverses, we can apply function f(g(x)) and see if it returns x:
f(g(x)) = f(x - 4) = (x - 4)² - 16 = x² - 8x + 16 - 16 = x² - 8x
Since f(g(x)) = x² - 8x ≠ x, these functions are not inverses.
Based on the analysis above, the function pairs that are inverses are:
C) f(x) = 5x - 3 and g(x) = (x + 3)/5
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The complete question:
Which of the following function pairs are inverses?
A) f(r) = -2x and g(x) = (1/2)x
B) f() = 4x² and g(x) = √x.
C) f(x) = 5x - 3 and g(x) = (x + 3)/5
D) f(x) =x² - 16 and g(x) = x - 4
WILL GIVE BRAINLIEST PLEASE HELP
The length of a pen is about
Any options to pick from?
Most pens are about 13-14 cm or approx 5.5 inches.
I need help with number three.
Answer:
1761 ft²
Step-by-step explanation:
The shape of the attic is a triangular prism.
It has 5 faces: The bases are 2 faces that are congruent triangles. The other 3 faces are rectangles, 2 of which are congruent.
surface area = area of the bases + area of 3 rectangles
surface area = 2 × area of triangle + 2 × area of rectangle + area of other rectangle
surface area = 2 × (1/2)bh + 2 × length × width + LENGTH × WIDTH
surface area = 2 × (1/2)(15 ft)(15 ft) + 2(15 ft)(30 ft) + (21.2 ft)(30 ft)
surface area = 225 ft² + 900 ft² + 636 ft²
surface area = 1761 ft²
Dakota measured a neighborhood park and made a scale drawing. The scale of the drawing was 1 inch : 5 yards. A soccer field in the park is 12 inches wide in the drawing. How wide is the actual field?
The actual width of the soccer field is 60 yards.
Given, the scale of the drawing is 1 inch : 5 yards.
The width of the soccer field in the drawing is 12 inches.
So, the actual width of the soccer field can be found by multiplying the width in the drawing by the scale factor:
Actual width = Width in drawing x Scale factor
The scale factor is 5 yards per inch, so we can write:
Actual width = 12 inches x 5 yards per inch
Actual width = 60 yards
Therefore, the actual width of the soccer field is 60 yards.
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Please Help Im stuck
Answer: The last one is the right one
Step-by-step explanation:
So first solve for n
1/2n+3<5
1/2n<2, multiple by 2 on both sides to remove fraction
n<4
the circle will be at 4, and since n<4, n is less than 4, so your line must also be less that 4.
William throws a football in the air from a height of 4 feet with an initial upward velocity of 96 feet per second.
Write a rule in the form of h=at^2+bt+c that models the height h of the football after t seconds.
Answer:
Step-by-step explanation:
its 123 jd
car cost #450,000 and its being sold for #540,000. find the profit as a percentage of the cost price
Write the number 6,600,000 in scientific notation.
Answer:
6.6 x 10^6
Step-by-step explanation:
THE ONE-EYED JACK MINE INVESTIGATION
The abandoned One-Eyed Jack Mine is about 31 miles off the main road adjacent to the Salmon River Wilderness area. There is only a rutted dirt track left where the access road used to run. It is so steep that when we hiked up it we had to pause every fifty feet or so to catch our breath. It seemed impossible but 3- 5 miles further we found remnants of the old wagons, the mineshaft, and the mill. The gold ore found in this mine was embedded in quartz and prospectors used the mill to grind up the quartz and rinse it with acid in huge shallow vats that were agitated so that the gold would sink to the bottom and the quartz could be washed away.
One arrangement of equipment we noticed included a circular vat about 18 feet in diameter which must have been connected by a huge belt to a smaller circular drive wheel 10 feet in diameter. The distance between the wheel and the vat was 8 feet. The equipment had been partially pre-fabricated then carried up the hill piece by piece to be re-assembled on the spot. Just the belt to connect the vat to the drive wheel would have been a major burden. We wondered how many times they had to carry new ones up to replace it. Calculate the length of belt needed to go around the drive wheel and the vat.
Answer:
The length of the belt needed to go around the drive wheel and the vat is approximately 79.6 feet. This is calculated by using the circumference formula C = 2πr where r is the radius of the wheel (5 feet) and the radius of the vat (9 feet). The total circumference is then 2 x 3.14 x (5 + 9) = 79.6 feet.
Answer:
79.6 feet.
Step-by-step exp
2 x 3.14 x (5 + 9) = 79.6 feet.
30 POINTS HELP! To analyze the change in the number of dog walks over time, draw a line to model the data. Use the connect line to draw the line.
The line of the best fit that models the data is added as an attachment
From the question, we have the following parameters that can be used in our computation:
The graph
To draw a line to model the data is to draw the line of best fit
A good line of best fit would have equal number of points on either sides
To plot the graph, we draw a line that divides the points on the graph evenly
This line when drawn on the scattered points divided the points approximately evenly
Hence, the line of the model is attached
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19
A
Straight line A passes through the points (-1, 2) and (1,6)
Straight line B has equation y-x
Work out the coordinates of the point where line A crosses line B
You may use the grid to help you.
40
10
+
7
-2
14
T
6
5-
4-
3
2
O
-1-
-2-
-3
-5-
-6-
Answer (
2
3
5
6
[4 marks]
Which number is equivalent to 7/11
?
The equivalent fractions of 7/11 are 14/22, 21/33, 28/44 and 35/55
There are infinitely many numbers equivalent to 7/11
since 7/11 is a fraction that can be simplified in different ways.
We can multiply the numerator and denominator with the same number to get the equivalent fractions
7/11×2/2 = 14/22
7/11×3/3= 21/33
7/11×4/4 =28/44
7/11×5/5 =35/55
Hence, the equivalent fractions of 7/11 are 14/22, 21/33, 28/44 and 35/55
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Find the measures of the acute angles.
29.67°
37°
168°
12°
What is the area of the figure?
The area of the triangular figure is 16 m²
What is the area of a triangle?The area of a triangle is given by A = 1/2bh where
b = length of base and h = height of triangleGiven the figure below, we see that it is two triangles with height, h = 2 m and base, b = 8 m.
Since the area of each triangle is A = 1/2bh, and the area of both triangles are the same, then the area of both triangles is A" = A + A
= 2A
= 2(1/2bh)
= bh
Substituting the values of the variables into the equation, we have that
A" = bh
= 8 m × 2 m
= 16 m²
The area is 16 m²
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Jonah walks 1/3 mile in 3/4 hour. What constant of proportionality relates the distance she travels to the time?
Consider the equation -3 x e^5w = -88
Solve the equation for (W) Express the solution as a logarithm in base-e.
___
Approximate the value of (W). Round your answer to the nearest thousandth.
___
The solution for w is given by the natural logarithm of 88 divided by 3x, all raised to the power of 1/5.
Exponential functions are always increasing or decreasing, depending on the sign of the base "a".
The graph of an exponential function has a characteristic shape that depends on the base "a". When "a" is greater than 1, the graph is an increasing curve that becomes steeper as x increases; when "a" is between 0 and 1, the graph is a decreasing curve that approaches the x-axis as x increases.
Starting with the equation:
[tex]-3xe^{(5w)} = -88[/tex]
We can first isolate the exponential term by dividing both sides by -3x:
[tex]e^{(5w)} = \dfrac{88 }{ (3x)}[/tex]
Then, taking the natural logarithm of both sides, we get:
[tex]5w = ln(\dfrac{88} { 3x})[/tex]
Finally, dividing both sides by 5, we obtain the solution for w:
[tex]w = (\dfrac{1}{5}) ln(\dfrac{88} { 3x})[/tex]
Therefore, the solution for w is given by the natural logarithm of 88 divided by 3x, all raised to the power of 1/5.
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coordinate plane with segment AB located at A 0 comma 2 and B 2 comma 3 segment AB is dilated from the origin to create segment A prime B prime at A′ (0, 8) and B′ (8, 12). What scale factor was segment AB dilated by? one half 2 3 4
The required scale factor for the dilation of segment AB to create segment A'B' is 2.
If the length of the original segment AB is 5 units and the length of the dilated segment A'B' is 10 units, the scale factor can be calculated as follows:
Scale factor = Length of A'B' / Length of AB
Scale factor = 10 / 5
Scale factor = 2
Therefore, the correct scale factor for the dilation of segment AB to create segment A'B' is 2.
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When we write four thousand two hundred that is what form?
The equivalent value of the expression is A = four thousand two hundred and A = 4,200
Given data ,
Let the expression be represented as A
Now , the value of A is
A = four thousand two hundred
On simplifying the equation , we get
A = 4,200
And , when we write "four thousand two hundred," it is written in word form
Hence , the equation is A = 4,200
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What is the range of the set of coordinates shown below?
(-10, 2), (-5, 3), (-7,4), (0, 0), (-10, 3), (3, 8)
Answer:
{0,2,3,4,8}
Step-by-step explanation:
angles c and d are complementary. the measure of angle d is 15 degrees greater than the measure of angle. what is the measure of each angle.
The measure of the angles is c = 37. 5 degrees
d = 15 + 37.5 = 52. 5 degrees
How to determine the anglesTo determine the value, we need to know what complementary angles are;
Complementary angles are defined as pair of angles whose sum is equal to 90 degrees
From the information given, we have that;
Angle c and d are both complementary angles
Also, the measure of angle d is 15 degrees greater than the measure of angle c
Then, we have;
d = 15 + c
Substitute the values
c + 15 +c = 90
collect like terms
2c = 90 - 15
2c = 75
Divide both sides by the coefficient
c = 37. 5 degrees
Substitute the value for angles d
d = 15 + 37.5 = 52. 5 degrees
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Which of the following functions is graphed below? HELP
The solution is: Piece-wise function
f(x)=x+6 , x≤1
f(x) = x^2 + 3 , x>1, the following functions is graphed below.
Option C is correct.
Explanation:
We are given a graph of piece-wise function which break at x=1
We need to choose correct option for graph.
Function is break at x=1.
We will get two function
For x≤1 and x>1
As we can see x≤1, graph is linear and x>1 graph is parabolic.
Equation of linear graph, x≤1
Take two point of graph (0,6) and (-6,0)
Equation of line:
y-y1/y2-y1 = x-x1/x2-x1
y = x+1
f(x)=x+6 , x≤1
Equation of parabolic graph, x>1
f(x) = x^2 + 3
Piece-wise function
f(x)=x+6 , x≤1
f(x) = x^2 + 3 , x>1
Please see the attached figure.
Hence, The option C is correct.
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Will Give Brainliest Please Help!
Question 11
Explanation, step-by-step
You would need two angles to know the lines are parallel
Sheila was setting up a room with tables for an event. The room had
12 plastic tables and 3 composite tables. Each table can seat 8
people.
What is the probability that the first person to enter the room will be
randomly seated at a plastic table?
The probability that the first person will be seated at a plastic table is 0.8
The probability that the first person will be seated at a plastic table?From the question, we have the following parameters that can be used in our computation:
Plastic tables = 12
Composite tables = 3
Using the above as a guide, we have the following:
Total tables = 12 + 3
Evaluate the sum
Total tables = 15
So, we have the probability to be
P = Plastic tables/Total tables
Substitute the known values in the above equation, so, we have the following representation
P = 12/15
Evaluate
P = 0.8
Hence, the probability that the first person will be seated at a plastic table is 0.8
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A set contains 13 elements.
a) How many subsets does it have?
b) How many proper subsets does it have?
Step-by-step explanation:
Answer and Explanation:
The set contains 13 elements here, so the total number of subsets can be calculated as 213=8192 2 13 = 8192 .
A cylinder has the height of 12 inches and radius of 7 inches what is the volume
Answer:
588π
Step-by-step explanation:
Volume of cylinder = π r ² h
= π (7)² (12)
= 588π
simplify 28 divided by 0
Answer: Infinity
Step-by-step explanation: Since 0 doesn't have a measurable amount of times it can go into 28 the answer is infinity.