Answer:
We conclude that \(\sqrt{5}, \sqrt{5},\sqrt{10}\) is an isosceles right triangle.
Step-by-step explanation:
Given the sides of a triangle
\(\sqrt{5}, \sqrt{5},\sqrt{10}\)
Given that the two sides are equal. Thus, it must be an isosceles triangle.
Let us check whether it is an isosceles right triangle or not.
We know that for a right-angled triangle with sides a, b and the hypotenuse c is defined as:
\(c=\sqrt{a^2+b^2}\)
Given
\(a=\sqrt{5}\)
\(b=\sqrt{5}\)
now substituting \(a=\sqrt{5}\) and \(b=\sqrt{5}\) in the equation
\(c=\sqrt{a^2+b^2}\)
\(c=\sqrt{\left(\sqrt{5}\right)^2+\left(\sqrt{5}\right)^2}\)
\(c=\sqrt{10}\)
Thus,
\(a=\sqrt{5}\)
\(b=\sqrt{5}\)
\(c=\sqrt{10}\)
Which satisfies the given side lengths \(\sqrt{5}, \sqrt{5},\sqrt{10}\)
Therefore, we conclude that \(\sqrt{5}, \sqrt{5},\sqrt{10}\) is an isosceles right triangle.
Round 18,792 to the nearest thousand is the answer 18,790 or 00019 or 00018 or 18800 please due today please give brainiest.
Answer:
The answer is 19,000
Step-by-step explanation:
18,792 you round to the thousand which is 8 and the number after is 7 which is above 5 so the 8 turns into a 9
Answer:
19000
Step-by-step explanation:
18,792
Rounding to the nearest thousand
The 8 is in the thousands place
We look at the number in the hundreds place, 7
It is 5 or higher so we will round the 8 up to 9 and everything else to the right will become zeros
18,792 becomes 19000
An item has a listed price of $80. If the sales tax rate is 8%, how much is the sales tax (in dollars)?
Answer:
$6.40
Step-by-step explanation:
u have to multiply 80 by 0.08 (tax percent in decimal form)
Answer:
$6.4
Step-by-step explanation:
all you have to do is find 8% of 80 by doing 8x8, which equals 64, then dividing by 10. That gives you 6.4. Then check it on a calculator to make sure you did it correctly
Help please picture attached
Answer:
i think the answer is 60
Step-by-step explanation:i did the math
A herd of 52 horses has 12 white and some black horses. What is the ratio of white horses to black horses?
Mhanifa please help me with this! I will mark brainliest! Please hurry before I get a bunch of random answers! I would really appreciate it! Random answers will be reported
Answer:
1. C. Reflexive property, SSS2. A. ASA postulateStep-by-step explanation:
Question 1Blank 3 = Reflexive propertyBlank 4 = SSSCorrect choice is C
Question 2Blank 6 = ASACorrect choice is A
1. The perimeter of a square is 16.
What is the length of the diagonal?
2. The perimeter of an equilateral triangle is 36. What is the length of the altitude?
3. Find the missing side lengths on the figure.
1.)The length of the diagonal of the square would be = 5.7
2.) The perimeter of the equilateral triangle = 12.
How to calculate the length of the diagonal of a given square?To calculate the length of the diagonal of a given square, the Pythagorean formula should be used and it's given below as follows:
1.) C² = a² + b²
But the perimeter = 16
The length = 16/4 = 4
C² = 4²+4²
= 16+16
= 32
C = √32= 5.7
2.) The perimeter of the equilateral triangle = length×3 = 36.
The length = 36/3 = 12
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ANSWER ASAP DONT SEND A FILE WHAT IS THE TRANSFORMATION????
Use the Pareto chart to tell the percent of students that enrolled in a private 4 year college.
20%
1) Analyzing that Pareto Chart, we can tell that the percentage of students enrolled in a private-4 year college is indicated by the height of the bar and the corresponding value for its vertical axis
2) Therefore, the answer is 20%
Write the explicit formula for the arithmetic sequence below. 14, 9, 4, -1, ...
Step-by-step explanation:
To find the next term or number, we'll need to keep subtracting 5. So the formula is: n-5
ABCD is a parallelogram.
The coordinates of point A are (2,5)
x = (4,0) and y = (5,12)
Find the coordinates of points B and C.
Answer:
B(6, 5), C(1, -7)
Step-by-step explanation:
A(2, 5)
From A to B, there is translation x, (4, 0).
Add 4 to A's x-coordinate, and add 0 to A's y-coordinate.
B(2 + 4, 5 + 0) = B(6, 5)
From C to B there is the translation y, (5, 12).
Since we are going from B to C, we undo translation y.
The translation from B to C is (-5, -12).
C(6 - 5, 5 - 12) = C(1, -7)
Using the table created in part A, determine how long it will take to complete the calls if Emma and Jackson work together.
Answer:
A
Step-by-step explanation:
Only one that make sense
What is the scale factor of figure B to figure A?
Scale factor =_________
(40 points)
The scale factor of figure B to figure A is 1/2.
How to find the scale factor?To find the scale factor of figure B to figure A, we need to determine how much the corresponding sides of the two figures have been multiplied or divided by.
Looking at the figures, we can see that the corresponding sides of figure B are half the length of the corresponding sides of figure A. For example, the length of side AB in figure A is twice the length of side AB' in figure B, and the length of side BC in figure A is twice the length of side B'C' in figure B.
Since the corresponding sides of figure B are half the length of the corresponding sides of figure A, the scale factor of figure B to figure A is 1:2 or 1/2.
Therefore, the scale factor of figure B to figure A is 1/2.
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Find the probability that a randomly selected point within the square falls in the red shaded square
The probability that a randomly selected point within the square falls in the red shaded square is 1/16
What is probability?A probability is a number that reflects the chance or likelihood that a particular event will occur. The certainty of an event to occur is 1 and it is 100% in percentage.
Probability = sample space /total outcome
sample space is the area of the red shaded square and the total outcome is the big square.
Area of red shaded square = 1 × 1 = 1unit²
area of the big square = 4 × 4 = 16 units²
Therefore the probability that a point selected falls on the red shaded square
= 1/16
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You deposit $5000 in an account earning 5% interest compounded continuously. How much will you have in the account in 5 years? Round to the nearest cent.
From a 15-inch by 15-inch piece of metal, squares are cut out of the four corners so that the sides can be folded up to make a box. Let x represent the length of the sides of the squares, in inches, that are to be cut out. Express the volume of the box as a function of x.
By applying the formula of cuboid volume, the volume of the box can be expressed as 225x - 60x² + 4x³.
Cuboid is a 3-D shape formed by three pairs of rectangles (6 sides), 12 edges, and 8 vertices.
The volume of a cuboid can be calculated as follows:
Volume = length * width * height
Initially, we have a 15 x 15-inch piece of metal, then we cut out the four corners so that the sides can be folded up to make a box.
Now we have a shape as the attached image, where x represents the length of the sides of the squares that are to be cut out.
Thus, after the cutting, the length of the new side is 15 - 2x.
This value also represents the length and width of the box, whilst the height is x.
Now we can calculate the volume of the box:
Volume = length * width * height
= (15 - 2x) * (15 - 2x) * x
= (225 - 60x + 4x²) * x
= 225x - 60x² + 4x³
Thus, the volume of the box can be expressed as 225x - 60x² + 4x³.
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Please help me I need these ASAP. I'll mark as brilliant!
make c the subject: (a+c)^2=t
make x the subject: p=3(y+2x)^2
\((a + c) ^{2} = t \\ c = \sqrt{t } - a \\ c = - \sqrt{t} - a\)
\(p = 3(y + 2x) ^{2} \\ x = \frac{ \sqrt{3p} }{6} - \frac{y}{2} \\ x = - \frac{ \sqrt{3p} }{6} - \frac{y}{2} \)
64% of all vehicles examined at a certain emissions inspection station pass the inspection. assuming that successive vehicles pass or fail independently of one another, calculate the probability that exactly one of the next three vehicles fail. (give your answer as a decimal number with 3 digits of precision.)
The probability that exactly one of the next three vehicles fail is 0.737 .
Given :
64% of all vehicles examined at a certain emissions inspection station pass the inspection. assuming that successive vehicles pass or fail independently of one another .
probability that exactly one of the next three vehicles fail is :
P = 1 - probability that all of the next three vehicles passes .
= 1 - 64 % * 64 % * 64 %
= 1 - 64/100 - 64/100 - 64/100
= 1 - 0.64 * 0.64 * 0.64
= 1 - 0.4096 * 0.64
= 1 - 0.262
= 0.737
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Solve 5x² + 25 = 0Ox= -5x = -5 and x = 5Ox=5No Real Solutions
Solve for x:
Subtract 25 from both sides:
\(\begin{gathered} 5x^2+25-25=-25 \\ 5x^2=-25 \end{gathered}\)Divide both sides by 5:
\(\begin{gathered} \frac{5x^2}{5}=-\frac{25}{5} \\ x^2=-5 \end{gathered}\)Take the square root of both sides:
\(\begin{gathered} x=\pm\sqrt{-5} \\ x=\pm\sqrt{5}i \end{gathered}\)Therefore, there are no real solutions
Answer:
No Real Solutions
12. After 2 hours, Morgan had earned $12.75 at her lemonade stand. After 5
hours, she had earned $44.25. Assuming a linear function, write an
equation in the form y=mx+b that shows the profit earned from selling
lemonade for x hours.
Answer:
y = 10.5x - 8.25
Step-by-step explanation:
m = (44.25 - 12.75)/(5 - 2) = 10.5
y = mx + b
y = 10.5x + b
12.75 = 10.5 × 2 + b
b = -8.25
y = 10.5x - 8.25
Please explain the steps you would take to solve this derivative (gr 12 calc)
First step, derivative of the constant:
\(f^{\prime}(x)=\frac{1}{2}\frac{d(e^{-3x^2+tan(3x+5)})}{dx}\)Second step, the chain rule:
\(\begin{gathered} =\frac{1}{2}e^{-3x^2+tan(3x+5)}*\frac{d(-3x^2+tan(3x+5))}{dx} \\ =\frac{1}{2}e^{-3x^2+tan(3x+5)}*\frac{(-6x+sec^2(3x+5)*3)}{} \end{gathered}\)Where we applied that the derivative of tangent is the secant^2.
Hence the answer is:
\(\frac{1}{2}e^{-3x^2+tan(3x+5)}*\frac{(-6x+3sec^2(3x+5))}{}\)Challenger Elementary School has 800 students. Every
Wednesday, 12% of the students stay after school for
Chess Club.
How many students attend Chess Club on Wednesdays?
Answer:
96 students attend Chess club
Step-by-step explanation:
800x.12=96
Answer:
96 students.
Step-by-step explanation:
x=800/12%
Convert the percentage to a decimal.
12%/100=0.12
Multiply the decimal by the total number.
0.12x800=96
Hope this helps :)
Diondra wants to know the most popular movie of this year but is unsure of the best way to determine this answer. Which of the following questions would Diondra ask that does NOT allow for variability?
Which movie did her best friend like the most?
How many awards did each movie win?
What is the total dollar amount that each movie made from ticket sales?
How many weeks did each movie play in the theater?
The question that Diondra would ask that does not allow for variability is A. Which movie did her best friend like the most?
How does this question not show variability ?The other three questions ("How many awards did each movie win?", "What is the total dollar amount that each movie made from ticket sales?", and "How many weeks did each movie play in the theater?") all offer metrics by which a movie's popularity could be measured, and those measurements could vary from movie to movie.
However, the question about her best friend's favorite movie depends solely on the opinion of one individual, not a variable measure, and therefore doesn't allow for variability.
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5th grade math. correct answer will be marked brainliest
Answer: First 12/8, then 3/2
Step-by-step explanation: 3/2.
If you want the mixed fraction, it would be 1 1/2.
4 times 3 is 12... 12/8
1 whole box (8/8)
So 12/8-8/8=4/8 left
1 whole and 1/2
A solid figure is separated into 2 rectangular prisms. The volume of rectangular prism A is 75 cubic yards. Rectangular prism
B has a length of 7 yards and a width of 3 yards. The total volume of the solid figure is 180 cubic yards. What is the height of
rectangular prism B?
The height of rectangular prism B is 5 yards.
Let's first find the volume of rectangular prism B:
The volume of the solid figure = Volume of prism A + Volume of prism B
180 = 75 + length × width × height of prism B
105 = length × width × height of prism B
We know that the length of prism B is 7 yards and the width is 3 yards,
Substitute those values:
105 = 7 × 3 × height of prism B
105 = 21 × height of prism B
height of prism B = 105/21
height of prism B = 5
Therefore, the height of rectangular prism B is 5 yards.
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help me with this please
Answer:
1/12 more red rice then white rice
Step-by-step explanation:
3/4 = 0.75
2/3 = 0.666666....
Clearly Red rice is more but it will be difficult to state how much more in decimal form so we must use fraction form :
3/4 = 9/12
2/3 = 8/12
So there is 1/12 more red rice then white rice
Hope this helped and have a good day
simplify √([2m5z6]/[ xy])
The simplified form of √([2m5z6]/[xy]) is (√2m√5z√6) / (√x√y).
To simplify the expression √([2m5z6]/[xy]), we can break it down step by step:
Simplify the numerator:
√(2m5z6) = √(2) * √(m) * √(5) * √(z) * √(6)
= √2m√5z√6
Simplify the denominator:
√(xy) = √(x) * √(y)
Combine the numerator and denominator:
√([2m5z6]/[xy]) = (√2m√5z√6) / (√x√y)
Thus, the simplified form of √([2m5z6]/[xy]) is (√2m√5z√6) / (√x√y).
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PLEASE HELP! QUESTION IS ATTACHED
The domain of the exponential expression \(9^{x} + 4^{x + \frac{1}{2}}= 4^{x + \frac{3}{2}}- 7 \cdot 3^{2\cdot x - 2}\) is equal to x = 3 / 2.
How to find the domain of a function involving exponential expression
In this problem we find an algebraic equation that includes exponential expressions, whose domain corresponds with the set of all values of x such that any solution exists. Now we proceed to solve the equation for x. First, write the entire equations:
\(9^{x} + 4^{x + \frac{1}{2}}= 4^{x + \frac{3}{2}}- 7 \cdot 3^{2\cdot x - 2}\)
Second, use power properties to begin simplifying the expression:
\(9^{x} + 4^{\frac{1}{2}}\cdot 4^{x} = 4^{\frac{3}{2}}\cdot 4^{x} - 7 \cdot 3^{- 2}\cdot 9^{x}\)
9ˣ + 2 · 4ˣ = 8 · 4ˣ - (7 / 9) · 9ˣ
Third, use algebra properties to simplify further:
(1 + 7 / 9) · 9ˣ = 6 · 4ˣ
(16 / 9) = 6 · (4 / 9)ˣ
8 / 27 = (4 / 9)ˣ
Fourth, use the relationship between exponential and logarithmic expressions to clear x:
\(\log_{\frac{4}{9}} {\frac{8}{27}} = \log_{\frac {4}{9}} {\left(\frac{4}{9}\right) ^{x}}\)
\(x = \log_{\frac{4}{9}} {\frac {8}{27}}\)
x = 3 / 2
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Solve the quadratic equation 3x²+2x-4=0
Auuuu.........
...
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.
.
.
.
HELP ASAPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:i think its the second one
Step-by-step explanation:
Rachel and Hugo sorted 236 crayons into boxes for a local arts project. Each boz had 10 crayons. How many crayons were left over?