Answer:
D 40 square feet
Step-by-step explanation:
2×8=16
16÷2=8 is area of one triangle
8+8=16 is area of both triangles
8×3=24 is area of rectangle
24+16=40 square feet
Translation: 3 left and 3 up
Answer: (3,-1) = (0,2) (5,-2) = (2,1) (3,-5) = (0,-2) (-5,-5) = (-2,-2)
Step-by-step explanation:
The distance between points A and B is 35 feet, the distance between points B and C is 35 feet, and the distance between points C and D is 80 feet. How wide is the
canyon? Explain your reasoning.
The width of the canyon in the given image is 70 ft wide.
How to solveTo find the width of the canyon, we can visually extend side DC and AE to form two sides of a rectangle.
Given that side DC is the same as side AE (80 ft), we can use this same reasoning to determine that the width is the sum of side AB and side BC, which is 35 + 35.
This gives us a width of 70 ft.
In a rectangle, the longer side is known as the length and the shorter side is known as the width.
Therefore, using the sum of side AB and side BC, we get a width of 70 ft for the canyon.
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Intelligence Quotient (IQ) scores are often reported to be normally distributed with μ=100.0
and σ=15.0
. A random sample of 41
people is taken.
Step 1 of 2 : What is the probability of a random person on the street having an IQ score of less than 98
? Round your answer to 4
decimal places, if necessary.
Answer:
Step-by-step explanation:
To solve this problem, we need to standardize the IQ score using the formula:
z = (x - μ) / σ
where x is the IQ score, μ is the mean IQ score, and σ is the standard deviation of IQ scores.
So, for x = 98, we have:
z = (98 - 100) / 15 = -0.1333
Using a standard normal distribution table or calculator, we can find that the probability of a standard normal variable being less than -0.1333 is approximately 0.4483.
Therefore, the probability of a random person on the street having an IQ score of less than 98 is 0.4483 (or 44.83% rounded to four decimal places).
For questions 4-6, calculate the simple interest and the amount after the specified period of time.
4. $328.00 invested at 5% for 3 years.
4. Interest:
5. $635.85 invested at 7% for 6 months.
6. $175.01 invested at 8% for 90 days.
Amount:
5. Interest:
Amount:
6. Interest:
Amount:
Step-by-step explanation:
328×5×3÷100
100÷5=20
20÷2=10
328÷2=164
Identify the equation for the graph shown.
A. y = 5x - 2
B. y = 2x - 5
C. y = 2x + 5
D. y = x - 4
E. y = 2x - 6
HELP ASAPPP!!! Solve the triangle
Answer:
14.4 - proofs attached to answer
Step-by-step explanation:
proofs attached to answer
yvette is making a blanket. she is going to the craft store for supplies. she wrote her measurements as decimals.
For the 4.6 yards of fabric, she should use 9/2, and for the 1.83 feet of cording, she should use 9/5.
What are fractions?A fractional number is any numerical value that is not a whole number. It is a number that has been divided into two or more equal parts, such as 1/2, 3/4, 5/8, and 7/16. Fractional numbers are also known as rational numbers.
Yvette needs 4.6 yards of fabric for her blanket. She can convert this decimal measurement into a fraction by dividing the decimal by 1. This yields 4.6/1 or 46/10.
Yvette also needs 1.83 feet of cording for the border of her blanket. She can convert this decimal measurement into a fraction by dividing the decimal by 1. This yields 1.83/1 or 183/100.
To make sure she has the right amount of materials, Yvette should use the numbers from the box to write each measurement as a fraction. For the 4.6 yards of fabric, she should use 9/2, and for the 1.83 feet of cording, she should use 9/5. By writing the measurements as fractions, Yvette can be sure to have the right amount of fabric and cording for her project.
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Question: 'Yvette is making blanket: She is going to the craft store for supplies. She wrote her measurements as decimals. Yvette needs 4.6 yards of fabric: She also needs 1.83 feet of _ cording for the border: Use numbers from the box to write each measurement as a fraction. yards of fabric: feet of cording: " 90'
270 calories in 3 servings : 450 calories 5 servings
There are 90 calories to 1 serving.
What is rate of quantities?Rate is a term which compares two things. It simply relates the amount of one variable to the amount of the other variable. An example is the rate of the distance covered by an object with time taken.
In the given question, we can deduce that;
270 calories in 3 servings would give;
amount of calories in 1 serving = 270/ 3
= 90
Also,
450 calories in 5 servings would give;
amount of calories in 1 serving = 450/ 5
= 90
Therefore, there are 90 calories to 1 serving.
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What is 90.0 - 0.026
Answer:
89.974
Step-by-step explanation:
Helppp! The tree diagram below shows all of the outcomes for flipping 3 coins. Which outcome is represented x? Picture below.
Answer:
Option 1 is the correct choice
Step-by-step explanation:
All possible outcomes are represented with the exception of {HHT}
This would correspond to x
Option 1 is the correct choice
Boston filled up
her gas tanks 3/5s of
the way. What
percent is this?
Answer:
60%
Step-by-step explanation:
how do you know that 8:12 is equivalent to 4:6
Answer: it is 4:2
Step-by-step explanation: because it is a ratio, both sides can be divided by the same number and still have the same meaning. btw in this case both divided by 2
Does this represent a function yes no because
We can conclude that the set of points {(−9,0),(−4,5),(0,9),(4,5),(9,0)} does not represent a function.
What is functions ?In mathematics, a function is a relation between a set of inputs and a set of possible outputs with the property that each input is related to exactly one output. In other words, a function is a rule that assigns a unique output value to each input value. Functions are commonly denoted using functional notation, where the function name is followed by its input, such as f(x) or g(t).
According to given information:To determine if the set of points {(−9,0),(−4,5),(0,9),(4,5),(9,0)} represents a function, we need to check if for every x-coordinate there is only one corresponding y-coordinate.
We can start by graphing the set of points:
From the graph, we can see that for x = -4 and x = 4, there are two different y-coordinates, which means that the set of points does not represent a function.
Therefore, we can conclude that the set of points {(−9,0),(−4,5),(0,9),(4,5),(9,0)} does not represent a function.
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Use the percent formula, A=PB, where A is P percent of B, to answer the following question. What is 29% of 10?
The value of 29% of the number 10 will be 2.9.
What is the percentage?The part of any product is given as though it was a ratio of a hundred. The ratio can be represented as a quarter of 100. The phrase % decrypts to one hundred percent. It is symbolized by the character '%'.
The percentage is given as,
Percentage (P) = [Final value - Initial value] / Initial value x 100
The value of 29% of 10 is calculated as,
⇒ 29% of 10
⇒ 0.29 x 10
⇒ 2.9
The value of 29% of the number 10 will be 2.9.
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ALGEBRA 1 HW!! I WILL GIVE BRAINLYEST FOR ANSWERS
For the given sequence we have.
g(4) = 72g(n) = 2*g(n - 1)g(n) = 4*g(n - 2)g(n) = 8*g(n - 3)g(24)/g(21) = 8.How to describe the sequence?We have a sequence where each term is the double of the previous one.
So if we start with 9, we have:
g(1) = 9
g(2) = 2*9 = 18
g(3) = 2*18 = 36
g(4) = 2*36 = 72
That is the value of g(4).
Now the recursive formulas are trivial:
g(n) = 2*g(n - 1)
g(n) = 4*g(n - 2)
g(n) = 8*g(n - 3)
And finally, the quotient, we can write:
g(24)/g(21) as:
g(n)/g(n - 3)
And by the last recursive formula,we know that:
g(n) = 8*g(n - 3)
g(n)/g(n -3) = 8
So that is the answer there.
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34.6°C =°F (round the answer to the nearest tenth).
● 4.7
● 32.3
● 30.3
● 94.3
● None are correct
Answer:
94.3/C
Step-by-step explanation:
Hope this helps!
What is the quotient of 16sup(x,-2)-8sup(x,-2)-2sup(x,-9) and 2x?
The required quotient of the expression 16x⁻² - 8x⁻² - 2x⁻² divided by 2x is 4x⁻³ - x⁻¹⁰.
What is arithmetic?Arithmetic involves the basic operations of addition, subtraction, multiplication, and division, as well as more advanced operations such as exponents, roots, logarithms, and trigonometric functions.
Here,
To simplify the given expression, we can start by factoring out the common factor of 2x from the numerator. This gives:
(16x⁻² - 8x⁻² - 2x⁻⁹) / 2x
Next, we can simplify the terms in the numerator by combining the like terms:
= (4x⁻² - x⁻⁹) / x
= 4x⁻²⁻¹ - x⁻⁹⁻¹
= 4x⁻³ - x⁻¹⁰
= 4x⁻³ - x⁻¹⁰
Therefore, the quotient of the expression 16x⁻² - 8x⁻² - 2x⁻² divided by 2x is 4x⁻³ - x⁻¹⁰.
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70 points! Complete each proof using the most appropriate method.
All statements and reasons are shown below.
What is triangle?A triangle is a closed two-dimensional geometric shape that has three sides, three angles, and three vertices. Triangles are one of the basic shapes in geometry and can be classified according to the length of their sides (scalene, isosceles, or equilateral) or the size of their angles (acute, right, or obtuse). The sum of the angles of a triangle is always 180 degrees, and the Pythagorean theorem can be used to find the length of one side if the other two sides are known in a right triangle.
According to the given figure:
4. In ΔFGH and ΔFJH,
Statement Reason
GH = JH (Given)∠FGH = ∠FJH (each 90°)FH = FH (Common)ΔFGH ≅ ΔFJH (by R.H.S rule)5. In ΔTVY and ΔXWY,
Statement Reason
TY = XY (Given)∠TVY = ∠XWY (Given)∠VYT = ∠WYX (Vertically opposite angle)ΔTVY ≅ ΔXWY (by A.A.A rule) angle-angle-angle ruleTV = XW (by C.P.C.T)6. In ΔKML and ΔPMN,
Statement Reason
KL = PN (Given)∠KLM = ∠PNM (KL║NP and LN is transversal line, so this is alternate interior angle)∠LKM = ∠NPM (Alternate interior angle)ΔKML ≅ ΔPMN (by A.S.A rule) angle-side-angle ruleLM = NM (by C.P.C.T)To know more about types of triangle, visit:
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