Hi there!
\(\large\boxed{\text{x = 6.2}}\)
Use the Pythagorean theorem to solve for the missing side-length:
c² = a² + b², where:
c = hypotenuse (diagonal) of the triangle
a, b are legs of the triangle
Plug in the given values:
8² = 5² + x²
Simplify:
64 = 25 + x²
Subtract both sides by 25:
39 = x²
Square root both sides:
x ≈ 6.2
Apart from division or a fraction, what does '/' mean?
Apart from division or a fraction, the symbol '/' can also represent a ratio or indicate a relationship between two quantities.
In addition to representing division or a fraction, the symbol '/' can have different meanings depending on the context in which it is used. Here are a few common interpretations of the '/' symbol:
Ratio: The '/' symbol can indicate a ratio between two quantities. For example, if we say the ratio of boys to girls is 3/2, it means there are three boys for every two girls.
Per: The '/' symbol can be used to express "per" or "each." For instance, when we see a speed limit sign that says "60 km/h," it means "60 kilometers per hour."
Similarly, in sports statistics, we might see "10 goals/season," which means an average of 10 goals per season.
Probability: In probability theory, the '/' symbol can represent the probability of an event.
For example, if we say the probability of rolling a six on a fair die is 1/6, it means there is a one in six chance of rolling a six.
Quotient: While '/' is commonly used to represent division, it specifically represents the quotient in mathematical expressions.
For instance, in the expression 6/3, '/' indicates that we are finding the quotient of 6 divided by 3, which is equal to 2.
Symbolic Representation: In certain cases, the '/' symbol can be used as a shorthand or symbol to represent a concept or operation in specific fields or contexts.
For instance, in computer programming, '/' is often used to indicate file path or directory structure.
It is important to consider the context in which '/' is used to determine its meaning, as it can vary across different disciplines and applications.
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1) A student has a Math placement of Math 111, Math 100 and Math 102+. What course should the student first start with according to their placement results to then continue to get to Math 103E?
The placement results provided, the student should start with Math 100.
The placement results indicate that the student has placements for Math 111, Math 100, and Math 102+. Math 111 typically corresponds to a higher-level course than Math 100, and Math 102+ implies a placement beyond Math 102.
To progress towards Math 103E, it is essential to follow the recommended course sequence. Usually, Math courses are designed to build upon previously learned concepts and skills. Starting with Math 100 would provide the foundational knowledge necessary to succeed in subsequent courses.
Therefore, the student should first start with Math 100, and upon successful completion, they can proceed to Math 103E. It is important for the student to consult with their academic advisor or the mathematics department at their institution for specific course placement and sequencing information to ensure they are following the appropriate path.
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If ABCD is dilated by a factor of 3, the
coordinate of B' would be:
-5 -4
MA
А
B
3
26
1
-2 -10
-1
-2.
-3
C
2 3 4 5
D
B' = ([?], [])
Enter
If ABCD is dilated by a scale factor of 3, the coordinate of B' would be (-6, 6).
What is dilation?In Geometry, dilation simply refers to a type of transformation which typically changes the size of a geometric object, but not its shape.
This ultimately implies that, the size of the geometric shape would be increased (stretched or enlarged) or decreased (compressed or reduced) based on the scale factor applied.
Next, we would apply a dilation to the coordinates of the pre-image by using a scale factor of 3 centered at the origin as follows:
Ordered pair B (-2, 2) → Ordered pair B' (-2 × 3, 2 × 3) = Ordered pair B' (-6, 6).
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Write the quadratic equation whose roots are -1 and -4, and whose leading coefficient is 4. (Use the letter x to represent the variable.)
Answer:
4x² + 20x + 16 = 0
Step-by-step explanation:
Quadratic equation:(leading coefficient) * [x² - (sum of roots)*x + product of roots] = 0
4* [x² - ( -1 -4)x + (-1)*(-4) ] = 0
4*[ x² - (-5)x + 4] = 0
4 * [x² + 5x + 4] = 0
4*x² + 4*5x + 4*4 = 0
4x² + 20x + 16 = 0
Express the following rate as a unit rate: 28 1/3 minutes to run 3 1/3 miles
Answer:
28.20
Step-by-step explanation:
60 seconds in a minute
1/3 of a minute is 20 seconds
Ryan buys lunch for $16.83. If sales tax is 8.4%, How much money does Ryan need total for lunch
\(\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{8.4\% of 16.83}}{\left( \cfrac{8.4}{100} \right)16.83} ~~ \approx ~~ 1.41~\hfill \underset{ Total~for~lunch }{\stackrel{ 16.83~~ + ~~1.41 }{\approx\text{\LARGE 18.24}}}\)
Ms. Figgs asked 25 students in her 7th-grade homeroom to select their favorite cookie. The results are recorded in the table below. Based on the results, how many students will NOT select chocolate chip as their favorite cookie, if there are 250 students in the seventh grade?
Step-by-step explanation:
Can you show a picture of the table, I can't help if I don't see the whole problem
find a constant of proportionality that creates a direct proportion to x and y
Answer:
Please check the explanation.
Step-by-step explanation:
We know that when 'y' varies directly with 'x', we get the equation
y ∝ x
y = kx
k = y/x
Here k is called the constant of proportionality.
Taking an example:
For example, let suppose x and y are directly proportional with x = 4 and y = 10.
We can calculate the constant of proportionality using the formula
k = y/x
substitute x = 4, y = 10 in the equation
k = 10/4
k = 2.5
And at x = 5 and y = 12.5
k = y/x
substitute x = 5, y = 12.5 in the equation
k = 12.5/5
k = 2.5
Therefore, we conclude that a constant of proportionality k = 2.5.
The temperature at 6:00 a.m. was -12°F. The temperature increased by
1/2°F each hour for 6 hours. What was the temperature, in degrees Farenheit, at noon?
Answer:
600
Step-by-step explanation:
Answer:
-9
Step-by-step explanation:
-12°F + 3 =-9
1/2 * 6 = 3
**Find the perimeter of the region.**
The circle are congruent to each other.
The circles are tangent to each other, and the straight
segments are tangent to the circles.
The straight
segments are 5 units long.
Find the perimeter of the region.**
The circle are congruent to each other.
The circles are tangent to each other, and the straight
segments are tangent to the circles.
The straight
segments are 5 units long
Two UNO students want to start a business selling slushies at the Gene Leahey Mall during the summer. They will have an initial cost of $500 to buy equipment and an additional $1.25 cost for each slushie they sell. They
plan to charge $3.50 for each slushie. Let C(x) represent the cost (in dollars) associated with starting and running the business and R(x) represent the revenue (in dollars) earned from sales. Let x represent the number
of slushies sold.
a. Write a linear function for cost.
C(x) =
b. Write a linear function for revenue.
R(x) =
Part (a)
The cost is the initial cost plus the cost per slushie multiplied by the number of slushies sold.
\(C(x)=500+1.25x\)
Part (b)
The revenue is the number of slushies sold multiplied by the amount charged per slushie.
\(R(x)=3.50x\)
pls help
write the sequence of transformation that changes figure ABCD to figure A’B’C’D Part A: explain your answer and write the coordinates of the figure obtained after each transformation
Part B:are the two figures congruent?Explain your answer
Reflect Pre Image coordinates over the x and then the y axis
Answer:
(0,-3)=y axis
(-6,3)=y axis
(0,9)= x-axis
Which ordered pair is in the solution set y-5>-3x
(4,-2)
(1,2)
(-1,-3)
(-2,4)
The ordered pair that satisfies the given inequality is ( 4,-2)
Step-by-step explanation:
By looking at the Graph, only the point ( 4,-2) marked by red dot lies on the shaded portion of the graph.
Please Mark this answer as brainliest, thank you :-)
\(x^{2} +6x=35\)
Please help right away!!!!!!
A recipe for orange water says, “Mix 3 teaspoons of yellow water with 1 teaspoon red water.” For this recipe, we might say: “The ratio of teaspoons of yellow water to teaspoons of red water is 3:1.” 1. Write a ratio for 2 batches of this recipe. 2. Write a ratio for 4 batches of this recipe
Well, we know that 3:1 is one batch of orange water. We also know that there are 2 things to focus on.
1. Must write ratio for 2 batches of the recipe.
2. Must write ratio for 4 batches of the recipe.
To make this equation simple, double the ratio to find 2 batches because all it means is 2x more water.
3:1
x2
6:2
So, the ratio would be 6:2 to make 2 batches.
To make it easier again, we just multiply the ratio of 2 batches by 2 which would find the ratio for 4 batches.
6:2
x2
12:4
So that means, that it is 6:2 for 2 batches, and 12:4 for four batches.
Answer:
its c
Step-by-step explanation:
i did the test
Simplify 2/5 + 1/3
I NEED THIS ASAP
Answer:
(11/15)'s
Step-by-step explanation:
(2/5) is equal to (6/15)
(1/3) is equal to (5/15)
(5/15)+(6/15)=(11/15)
4)Does this shape belong in a group of shapes that have more than one pair of
perpendicular sides?
Use the drop-down menus to explain your answer.
4) Click the arrows to choose an answer from each menu.
The number of right angles in this shape is Choose....
meet at a right angle is Choose....
perpendicular sides in this shape. This shape
shapes that have more than one pair of perpendicular sides.
. Each pair of sides that
▾ of
in a group of
.There Choose...
Choose...
No, this shape does not belong in a group of shapes that have more than one pair of perpendicular sides.
Does the shape have > one pair of perpendicular sides?In order to determine if the shape belongs to a group of shapes with more than one pair of perpendicular sides, we need to examine the number of right angles in the shape.
A right angle is a 90-degree angle, and shapes with perpendicular sides have right angles at their intersections. By counting the number of right angles in the shape, we can determine if it has more than one pair of perpendicular sides.
If the shape has only one right angle, then it does not have more than one pair of perpendicular sides. But if it has two or more right angles, then it would belong to the group of shapes that have more than one pair of perpendicular sides.
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Find the rate of change of its elevation when x= 22
Given:
\(y=-\frac{1}{110}x^2+127\)The horizontal component of velocity is 5 ft/s.
\(\frac{dx}{dt}=5\)To find the rate of change,
\(\begin{gathered} \frac{dy}{dx}=\frac{d}{dx}(-\frac{1}{110}x^2+127) \\ \frac{dy}{dx}=-\frac{1}{110}(2x)\frac{dx}{dt}+0 \\ \frac{dy}{dx}=-\frac{1}{110}(2x)(5) \\ \frac{dy}{dx}=-\frac{x}{11} \\ at\text{ x=22} \\ \frac{dy}{dx}=-\frac{22}{11}=-2 \end{gathered}\)So, the rate of chnage of elevation is -2 ft/s.
That means decreasing by 2 ft/s.
It is expected that 30% of the criminals in our prisons are violent offenders, 65% are nonviolent, and 5% are actually innocent. A sample of 300 inmates showed that 90 were violent offenders, 200 were nonviolent, and 10 were innocent. At the .05 significance level, can we conclude that the observed frequencies are different than the expected frequencies?
When Ibuprofen is given for fever to
children 6 months of age up to 2 years, the
usual dose is 5 milligrams (mg) per kilogram
(kg) of body weight when the fever is under
102.5 degrees Fahrenheit. How much
medicine would be usual dose for a 18
month old weighing 21 pounds?
milligrams
Round your answer to the nearest milligram.
Answer: The usual dose for an 18-month-old weighing 21 pounds is 48 mg of ibuprofen.
Step-by-step explanation: To find the usual dose of ibuprofen for a child, we need to follow these steps:
Convert the child’s weight from pounds to kilograms. One pound is equal to 0.4536 kilograms, so we multiply 21 by 0.4536 to get 9.5256 kilograms.Multiply the child’s weight in kilograms by the dose per kilogram. The dose per kilogram is 5 mg when the fever is under 102.5 degrees Fahrenheit, so we multiply 9.5256 by 5 to get 47.628 mg.Round the result to the nearest milligram. To round a number to the nearest milligram, we look at the digit after the decimal point. If it is 5 or more, we add one to the digit before the decimal point and drop the rest. If it is less than 5, we keep the digit before the decimal point and drop the rest. In this case, the digit after the decimal point is 6, which is more than 5, so we add one to the digit before the decimal point and drop the rest. The result is 48 mg.Therefore, the usual dose for an 18-month-old weighing 21 pounds is 48 mg of ibuprofen. Hope this helps, and have a great day! =)
A number divisible by 2, 5 and 10 if the last digit is _______.
A. An even number
B. O
C. 0 or 5
D. An odd number
Answer :- B) 0
Only a number ending with the digit 0 is divisible by 2,5 and 10
Example :-
20 ÷ 2 = 10
20 ÷ 5 = 4
20 ÷ 10 = 2
Here, 20 is the number that ends with 0.
PLEASE PLEASE I BEG YOU HELP MEEEE
1)
Surface area of rectangular prism:
SA = 2( hw + lw + lh )
h= height of prism .
w = width of prism .
l = length of prism .
Substitute the values,
h= 4m
w=1.2 m
l= 13.4 m
SA = 2(4*1.2 + 13.4*1.2 + 13.4*4)
SA = 148.96 m²
2)
Surface area of triangular prism:
SA = (S1 +S2 + S3)L + bh
h= height of prism .
b = base of prism .
S1 , S2 , S3 = sides of triangle .
Substitute the values,
SA = (3+ 4 + 0.5)4 + 0.5*3
SA = 31.5 in²
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Helppppp ur girl out
which continent do you think I live in
Can anyone help me on this one
Hello !
Answer :
\({x}^{ - \frac{8}{3} }\)\(\sqrt[3]{ {x}^{ - 8} }\)\(\sqrt[3]{ ({x}^{ 4}) {}^{ - 2} }\)Explanation :
\( \to \boxed{ ({x}^{a}) {}^{b} = {x}^{ab} } \)
\( \to \boxed{ {x}^{ \frac{1}{n} } {}^{} = \sqrt[n]{x} } \)
\( ({x}^{4} ) {}^{ - \frac{2}{3} } = {x}^{- \frac{2}{3} \times 4} \\ \boxed{= {x}^{ - \frac{8}{3} } } \\ \boxed{= \sqrt[3]{ {x}^{ - 8} }} \\ \boxed{ = \sqrt[3]{ ({x}^{ 4}) {}^{ - 2} }}\)
Have a nice day ;)
i am once again asking for your intellectual support
Step-by-step explanation:
the first box is linear since when you add it to (x,y) it gives a straight line
New car is purchased for $20,700 dollars. The value of the car depreciate at 5% per year. To the nearest 10th of the year, how long will it be Until the value of the car is at $14,900 dollars ?
Answer:
6.4,,,,,,,,,,,,,,****
Using the equation ŷ = 2.6 − 3.1x, what is the predicted value if x is 4.3?
Select one:
a. −10.73
b. 10.73
c. 15.93
d. −15.93
e. 0.54
Work Shown:
Plug x = 4.3 into the equation given
ŷ = 2.6 − 3.1x
ŷ = 2.6 − 3.1(4.3)
ŷ = 2.6 − 13.33
ŷ = -10.73
Note: The symbol ŷ is read as "y hat". It's used to estimate the y value when it comes to regression equations.
Round 733,712 to the nearest thousand
733,712 ~
Answer:
734,000
Step-by-step explanation:
The thousands digit is the fourth digit from the right (1000) so we start by underlining that digit.
733,712
Look at the digit to the right of the underlined digit. If the number is 5 or more, add one to the underlined digit. Since 7 is 5 or more, we add one to the underlined digit.
All of the digits behind the underlined digits turn to zeros to hold the place values.
734,000