Answer:
4.66 or 14/3
Step-by-step explanation:
Area of a triangle is (base × height)/2. They have given you the height and the area already, so:
14 = ( b × 6 ) / 2
28 = b × 6
4.66 = b
The base of the triangle is B = 4.667 feet or 14/3 feet
What is a Triangle?A triangle is a plane figure or polygon with three sides and three angles.
A Triangle has three vertices and the sum of the interior angles add up to 180°
Let the Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
The area of the triangle = ( 1/2 ) x Length x Base
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
if a² + b² = c² , it is a right triangle
if a² + b² < c² , it is an obtuse triangle
if a² + b² > c² , it is an acute triangle
Given data ,
Let the area of the triangle be represented as A
Now , the value of A is A = 14 feet²
Let the height of the triangle be H = 6 feet
Let the base of the triangle be B
And , area of the triangle = ( 1/2 ) x Length x Base
Substituting the values in the equation , we get
14 = ( 1/2 ) x 6 x B
On simplifying the equation , we get
14 = 3B
Divide by 3 on both sides of the equation , we get
B = 14/3 feet
Therefore , the base of the triangle is B = 4.667 feet
Hence , the base of triangle is 4.667 feet
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Find the value of x in each pair of similar figures. Use proportions to solve.
Answer:
x=15
Step-by-step explanation:
3/5=9/x
English is the predominant language spoken in Chile. Question 1 options: True False
whoever answers first gets the crown
Answer: The answer is false!
Step-by-step explanation: You may think its true but NO, its not true!
Answer: false
Step-by-step explanation:
the correct answer is a dialect of spanish, chilean spanish.
Heather wants to form a triangle using a piece of wire that is 40 centimeters long. If Heather uses the entire piece of wire, which could be the side lengths of her triangle?
Answer:Step-by-step explanation:
All. They all add up to 40.
n ΔBCD,
m
∠
B
=
(
5
x
+
14
)
∘
m∠B=(5x+14)
∘
,
m
∠
C
=
(
x
+
19
)
∘
m∠C=(x+19)
∘
, and
m
∠
D
=
(
2
x
+
19
)
∘
m∠D=(2x+19)
∘
. What is the value of
x
?
x?
HELP PLEASE I REALLY NEED HELP
PLEASE HELP!!!
2/7(9 + 2/3m + 7n)
Find the product.
Answer:
6/7 + 4/21m + 2n
Step-by-step explanation:
The expression 2/7 * (9 + 2/3m + 7n) can be simplified as follows:
Step 1: Simplify the expression inside the parentheses:
9 + 2/3m + 7n = 9 + (2/3)m + 7n
Step 2: Multiply the simplified expression inside the parentheses by 2/7:
2/7 * (9 + (2/3)m + 7n) = 2/7 * (9 + (2/3)m + 7n)
Step 3: Distribute the 2/7 to each term inside the parentheses:
2/7 * 9 + 2/7 * (2/3)m + 2/7 * 7n
Step 4: Simplify the expression by multiplying each term by 2/7:
(2/7) * 9 = 6/7
(2/7) * (2/3)m = 4/21m
(2/7) * 7n = 2n
Step 5: Combine like terms:
6/7 + 4/21m + 2n = 6/7 + 4/21m + 2n
The final result of the product is 6/7 + 4/21m + 2n.
LASTTT THINGGGGGGG STGGGGGGGGGGGGG
The diameter, in miles, of a large asteroid called Vesta can be found using the expression 5w^(2) - (4y^(2) - z^(3)) - 56. Evaluate this expression for w=9 ,y=25, and z=5.
Answer:
-8156
Step-by-step explanation:
5x9=45 x 45 = 2025 - 4x25=100x100=10000 - 125 -56
how many paper cups are left at the end of the week
Answer:
2
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
Please use statemnet reasoning!
Answer:
lineHO parallel lineEN - Given
lineHW = lineNW - Given
angle HWO congruent angle EWN Vertical Angles
angle OHW congruent angle ENW Alternate interior angles
Thus triangle HOW congruent triangle NEW
[wouldn't let me use symbols sorry]
y = 2x + 3/2
y = -1/2x + 3
y = -2x + 3
y = 3x - 2
y = -2x + 3
The Y intercept is positive 3
it goes down by 2 each square
PLEASE HELP I AM GIVING 100 POINTS FIRST COME FIRST SERVE ALSO GIVING BRAINLIEST TO THE FIRST PERSON WITH THE CORRECT ANSWER
Answer:
A = plane
B = whale
C = sunken ship
Step-by-step explanation:
The given vertical number line is modelling the positions of objects and animals in relation to sea level.
Sea level is the average height of the surface of the world's oceans, which we use as a reference point to measure the elevation and depth of land and water features on Earth.
From inspection of the given number line:
Position A is above sea level.Position B is just below sea level.Position C is the furthest below sea level.We have been told that a plane is flying at 8,500 feet above sea level. Therefore, as position A is the only position above sea level, A = plane.
We have been told that a sunken ship is resting at 3,000 feet below sea level, and that directly above the ship, a whale is swimming 1,960 feet below sea level. Therefore, the whale is above the ship. As position B is above position C, this means that B = whale and C = sunken ship.
I NEED HELP ASAP with a science experiment give me ideas what experiments (mini-labs) I could do based on the task! READ THE SCREENSHOT
Answer: You should do a representation of how the heat and light waves reach humans on earth and keep us warm.
Step-by-step explanation:
all your answers are already in the task introduction.
1. Make earth out of styrofoam ball (buy at a dollar store) and paint. (blue and green). (If you want to make humans out of popsicle sticks)
2. Use velvet pipe cleaners (blue for cold air and red for hot air) to represent convection and conduction.
3. Use yellow pipe cleaners for solar energy to represent radiation.
4. Rest is up to you for how you want it to look.
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPp
Answer:
2,550
Step-by-step explanation:
What is the measure of ∠CEF?
A. 80 degrees
B. 90 degrees
C. 100 degrees
D. 110 degrees
Answer:
D. 110
Step-by-step explanation:
30+40=70
180-70=110
Answer:
∠CEF = 110°
Step-by-step explanation:
ΔBED ,
∠BED + ∠BDE + ∠DBE = 180 {Angle sum property}
∠BED + 40 + 30 = 180
∠BED + 70 = 180
∠BED = 180 -70
∠BED = 110°
∠CEF = ∠BED {Vertically opposite angles}
∠CEF = 110°
Volume Notes & Practice - Please use a pencil. No typed work will be
accepted. Review the volume of a cylinder formula on page 3 of the lesson.
Several soft drink can sizes being considered by a soft drink company are shown below For each
can calculate its volume in cubic inches Usen 3.14
Option 1:
Radius=
2.5 inches
Volume:
Option 4:
Radius
1.5 inches
Volume:
Height-
6 inches
Height-
6 inches
Option 2
Radius-
1.5 inches
3
Volume:
Option S
Radius=
2 inches
Volume:
Height-
4 inches
Height-
4.5 inches
Option 3:
Radius
2 inches
Volume:
Option 6:
Radius=
2 inches
Volume:
Height
2.25 inches
Height-
6 inches
Answer:
Step-by-step explanation:
so first you multiply the radius times 3.5785738473847 which will give you 666 im in your walls
\
The Volume of cylinder are as given elbow:
1. 117 in³
2. 21.195 in³
3. 28.26 in³
4. 42.39 in³
5. 50.24 in³
6. 75.36 in³
To calculate the volume of each can, we can use the formula for the volume of a cylinder:
Volume =πr²h
Using the given values, we can calculate the volume for each option:
Option 1:
Radius = 2.5 inches
Height = 6 inches
Volume = 3.14 x (2.5²) x 6 = 117 in³
Option 2:
Radius = 1.5 inches
Height = 3 inches
Volume = 3.14 x 1.5² x 3 = 21.195 in³
Option 3:
Radius = 2 inches
Height = 2.25 inches
Volume = 3.14 x 2² x 2.25 = 28.26 in³
Option 4:
Radius = 1.5 inches
Height = 6 inches
Volume = 3.14 x 1.5² x 6 =42.39 in³
Option 5:
Radius = 2 inches
Height = 4 inches
Volume = 3.14 x 2² x 4 = 50.24 in³
Option 6:
Radius = 2 inches
Height = 6 inches
Volume = 3.14 x 2² x 6 = 75.36 in³
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Simplify 6(x + 4) 10x 6x + 4 6x + 24
Answer:
=360x4+1440x3+24x+24
Step-by-step explanation:
6(x+4)(10)xx(6)x+(4)(6)x+24
=360x4+1440x3+(4)(6)x+24
=360x4+1440x3+24x+24
Hope it helps!!
Error Analysis: A store is instructed by corporate headquarters to put a markup of 67% on all items. An item costing $6 is displayed by the store manager at a selling price of $4. As an employee, you notice that this selling price is incorrect. Find the correct selling price. What was the manager's likely error?
Part 1: The correct selling price is (Round to the nearest dollar as needed.)
Part 2: What was the manager's likely error?
A. The manager set the selling price at the markup.
B. The manager subtracted the markup from the cost instead of adding it.
C. The manager set the selling price at the cost.
D. The manager added the markup to the cost instead of subtracting it.
Answer:
To find the correct selling price, we need to first find the cost of the item plus the markup. We can do this by multiplying the cost of the item by the markup percentage: $6 * 67% = $4.02. However, since the question asks us to round to the nearest dollar, we can round this number down to $4.
Therefore, the correct selling price is $4.
The manager's likely error was that they set the selling price at the cost (option C).
Step-by-step explanation:
The correct selling price is $10 and the manager set the selling price at the markup so option (A) is correct.
What is the percentage?The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.
The percentage is also called the indicating hundredths. Thus, 2% is two-hundredth, which means 2%=2/100=0.02.
As per the given,
Cost of item = $6
Markup = 67%
67% of $6 ⇒ 0.67 x 6 = $4.02
Add the markup in the cost = $6 + $4.02 = $10.02
Round to nearest dollars = $10.2 ≈ $10.
The manager put $4 which is a markup instant of the selling price of $10.
Hence "The correct selling price is $10 and the manager set the selling price at the markup".
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i need help with this question please help me
Answer:
The answer is D.
Step-by-step explanation:
y = mx + b
C = 5/9 (F - 32)
C = 5/9F - 5/9 (32)
Option (D) is correct.
The stem-and-leaf plot displays data collected on the size of 15 classes at two different schools.
Mountain View School Seaside School
0 5, 8
9, 8, 2, 0 1 0, 1, 2, 5, 6, 8
8, 7, 6, 5, 5, 4, 4, 3, 1, 0 2 5, 5, 7, 7, 8
0 3 0, 6
Key: 2 | 1 | 0 means 12 for Mountain View and 10 for Seaside
Part A: Calculate the measures of center. Show all work. (2 points)
Part B: Calculate the measures of variability. Show all work. (1 point)
Part C: If you are interested in a smaller class size, which school is a better choice for you? Explain your reasoning. (1 point)
How can the area of this triangle be determined by forming a rectangle?
Select from the drop-down menus to correctly complete the statements.
Copy and rotate the triangle and place it next to the existing triangle to form a rectangle. The length of the rectangle is
Choose...
units. The width of the rectangle is
Choose...
units. The area of the rectangle is
Choose...
square units.
The area of the triangle is half the area of the rectangle, so the area of the triangle is
Choose...
square units.
Answer:
Length of the rectangle = 5 units
Width of rectangle = 4 units
Area of rectangle = 20 units
Area of triangle = 10 units
Step-by-step explanation:
Since I don't know the answer choices, I am assuming the base of the triangle as the length and the height as the width. Check your answer choices and switch 4 and 5 if it is the other way around
Using the graph
The rectangle formed by rotating the triangle and placing it along the original rectangle will have a length(base)
= length of the base of the triangle
= 5 units
The width of the rectangle will be the same as the height of the rectangle = 4 units
The area = length x width = 5 x 4 = 20 units
Area of triangle = half area of rectangle = 20/2 = 10 units
Please help I need it now, asap it's due in 5 mins.
Answer:
25
Step-by-step explanation:
\(105+3x=180 \\ \\ 3x=75 \\ \\ x=25\)
Answer:
The answer is 25 degrees
Step-by-step explanation:
If you subtract 180 - 105 then you get 75.
Then you divide it by 3.
One circle is 360 degrees thus half of it is 180.
If you know one angle is 105 degrees then subtract it from 180.
If the number is 3x then you have to divide it by 3 to get x alone.
Hope it helps! :)
What is the surface area of the square pyramid?
6 square meters
16 square meters
28 square meters
49 square meters
Answer:
B. 16 square meters
Step-by-step explanation:
To find the surface area of a square pyramid use this equation: b² + 4(bh/2). b and h will be 2 & 3 respectively.
2² + 4((2 * 3)/2)
First, let's do the work inside the parentheses. We can cancel out the multiplication by 2 and the division by 2, so the right side (by that I mean to the right of the plus sign) just becomes 4(3).
2² + 4(3)
Now, multiply 4 by 3 to get 12.
2² + 12
Next, square 2 to get 4.
4 + 12
Lastly, add 4 and 12 to get 16.
16 m²
After doing the math, I can deduce that the area of this square pyramid is 16 m² (square meters), which is B.
PLEASE HELP. URGENT 8TH GRADE MATH QUESTION. GIVING AS MANY POINTS AS I CAN TO THE CORRECT ANSWER. THANK YOU YA'LL ARE LIFE SAVERS
If a^x=pi, then what is a^{-x}? Answer in fraction form.
a^(-x) = 1/(pi^(1/x)) in fractional form.
1/a^x = 1/pi
Next, we can rewrite a^(-x) as 1/a^x and substitute the expression for 1/a^x from the above equation:
a^(-x) = 1/a^x = 1/(pi^(1/x))
The value of \(a^{-x}\) when \(a^x = \pi \ is\ 1/\pi\). To find the value of \(a^{-x}\) when \(a^x = \pi\), we can use the properties of exponents.
First, recall that a^(-x) is the reciprocal of \(a^x\). In other words, \(a^{-x} = 1 / a^x\).
Given that \(a^x = \pi\), we have:
\(a^{-x} = 1 / a^x\\a^{-x} = 1 / \pi\)
So, The value of \(a^{-x}\) when \(a^x = \pi \ is\ 1/\pi\).
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The graphs show the distances traveled by two cars moving at constant rates.
Drag to the table the unit rate that matches each graph.
Answer:
doodey
Step-by-step explanation:
semsee45 this is your question.
In the equation x = ky^2 + m/y + 4, when x = 18 and y = 2, and when x = -3 and y = 1, find x when y = 4.
TY :) !
Solution is in da attachment mate!! :D
12 - 3/4 (d + 16) = negative 5
Answer: d=20/3
Step By Step:
Step 1, Simplify:
12-3/4(d+16)=-5
(-3/4)d+(12-12)=-5
(-3/4)d=-5
Step 2, Multiply each side by 4/(-3)
(4/-3)*(-3/4)d=(4/-3)*-5
d=20/3
Answer:
\(\bold{d=\frac{20}{3} \ or \ 6.66666666667}\)
Explanation:
\(\bold{12-\frac{3}{4}\left(d+16\right)=-5}\)
[ Subtract 12 From Both Sides ]
\(\bold{12-\frac{3}{4}\left(d+16\right)-12=-5-12}\)
[ Simplify ]
\(\bold{-3\left(d+16\right)=-68}\)
[ Divide Both Sides By -3 ]
\(\bold{\frac{-3\left(d+16\right)}{-3}=\frac{-68}{-3}}\)
[ Simplify ]
\(\bold{d+16=\frac{68}{3}}\)
[ Subtract 16 From Both Sides ]
\(\bold{d+16-16=\frac{68}{3}-16}\)
[ Simplify ]
\(\bold{d=\frac{20}{3}}\)
Solve for x
3x+1=7x-17
Answer:x=4.5
Step-by-step explanation:
3x+1=7x-17
3x18=7x
18=4x
x=4.5
If the relationships below are given in the form (input, output), which pairing always describes a function? (a person’s age in years, that same person’s height in inches) (a person’s weight in pounds, that same person’s height in inches) (a person’s height in centimeters, that same person’s height in inches) (a person’s telephone number, that same person’s height in inches)
Answer:
A function is a mathematical relation in which each input (domain value) is associated with exactly one output (range value). In other words, for a relation to be a function, each input can have only one corresponding output. Let's analyze the given pairings:
(a person’s age in years, that same person’s height in inches) - This can be a function because one person's age in years should correspond to a single height in inches.
(a person’s weight in pounds, that same person’s height in inches) - This can also be a function because one person's weight in pounds should correspond to a single height in inches.
(a person’s height in centimeters, that same person’s height in inches) - This can be a function because one person's height in centimeters should correspond to a single height in inches.
(a person’s telephone number, that same person’s height in inches) - This may not necessarily be a function. It's possible for two different people to have the same height in inches but different telephone numbers.
So, the pairings that always describe a function are:
(a person’s age in years, that same person’s height in inches)
(a person’s weight in pounds, that same person’s height in inches)
(a person’s height in centimeters, that same person’s height in inches)
These three pairings meet the criteria of a function, where each input corresponds to a unique output.
The pairing that always describes a function is option C. (a person’s height in centimeters, that same person’s height in inches)
How did we arrive at this assertion?A pairing describes a function when each unique input (domain element) is associated with exactly one unique output (range element). In other words, there should be no ambiguity or multiple outputs for a single input. Let's analyze the given pairings:
1. (a person’s age in years, that same person’s height in inches): This pairing may not always describe a function because multiple people can have the same age, but they might have different heights. So, there can be multiple outputs for the same input (age).
2. (a person’s weight in pounds, that same person’s height in inches): Similar to the first pairing, this may not always describe a function because different people can have the same weight but different heights.
3. (a person’s height in centimeters, that same person’s height in inches): This pairing describes a function because for each unique height in centimeters, there is only one corresponding height in inches.
4. (a person’s telephone number, that same person’s height in inches): This pairing may not always describe a function because multiple people can have the same telephone number, but they might have different heights. So, there can be multiple outputs for the same input (telephone number).
So, the pairing that always describes a function is: (a person’s height in centimeters, that same person’s height in inches)
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