There is no solution. The output of this equation is equal to -10 = 0 which is obviously not true.
You are building a shelf that fits in a corner. In the figure, the entire shelf is △XYZ. Each unit in the coordinate plane represents one inch.
Complete Question: You are building a shelf that fits in a corner in the figure the entire shelf is XYZ each unit in the coordinate plane represents one inch find the area of the shelf.
Answer:
112.5 units²
Step-by-step explanation:
Area of the shelf = ½*base*height.
The base is the distance between Z(0, 5) and Y(15, 5)
The height is the distance between X(15, 20) and Y(15, 5).
Therefore area of the shelf = ½*ZY*XY
Use the distance formula to find ZY and XY.
Distance between Z(0, 5) and Y(15, 5):
[tex] ZY = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]
Let,
[tex] Z(0, 5) = (x_1, y_1) [/tex]
[tex] Y(15, 5) = (x_2, y_2) [/tex]
[tex] ZY = \sqrt{(15 - 0)^2 + (5 - 5)^2} [/tex]
[tex] AB = \sqrt{(15)^2 + (0)^2} [/tex]
[tex] AB = \sqrt{225 + 0} = \sqrt{225} [/tex]
[tex] AB = 15 [/tex]
Distance between X(15, 20) and Y(15, 5):
[tex] XY = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]
Let,
[tex] X(15, 20) = (x_1, y_1) [/tex]
[tex] Y(15, 5) = (x_2, y_2) [/tex]
[tex] XY = \sqrt{(15 - 15)^2 + (5 - 20)^2} [/tex]
[tex] XY = \sqrt{(0)^2 + (-15)^2} [/tex]
[tex] XY = \sqrt{0 + 225} = \sqrt{225} [/tex]
[tex] XY = 15 [/tex]
Area of shelf = ½*15*15 = ½*225 = 112.5 units²
Solve for x: 4(x + 2) = 3(x - 2)
-2
-4
-10
-14
Answer:
x=-14
Step-by-step explanation:
The last time Todd check,his dog weighed 10 kilograms. Todd just measures his dog again and found out that it weighs 10% less now how much does the dog weigh now
Answer:
9 kilograms
Step-by-step explanation:
Sam is 3 times older than her brother, Owen. In 5 years, Sam will be twice as old as Owen. How old are they now?
Answer:
Sam is 15; Owen is 5.
Step-by-step explanation:
Let s denote Sam's age and let o denote Owen's age.
So, Sam is three times older than Owen. Thus:
[tex]s=3o[/tex]
In 5 years, Sam will be twice as old as Owen. In other words, Sam's current age plus 5 years will be Owen's current age plus five years times 2. Thus:
[tex]s+5=2(o+5)[/tex]
We have a system of equations. Solve for substituting the first equation into the second. Thus:
[tex]3o+5=2(o+5)[/tex]
Distribute the right:
[tex]3o+5=2o+10[/tex]
Subtract 2o from both sides:
[tex]o+5=10[/tex]
Subtract 5 from both sides:
[tex]o=5[/tex]
So, Owen is currently 5 years old.
Sam is 3 times older than Owen, so Sam is 15 years old.
And we're done :)
A square has an area of 172 ftLaTeX: ^22 . What is the approximate length of each side of the square to the nearest tenth?
Answer:
13.1 feetStep-by-step explanation:
Area of a square = Length * Length
A = L²
Given the area of a square to be 172ft², to get the approximate length of each side of the square, we will substitute the area given into the formula above and calculate the value of L as shown;
[tex]A = L^2\\\\172 = L^2\\\\L^2 = 172\\\\[/tex]
take the square root of both sides;
[tex]\sqrt{L^2} = \sqrt{172} \\\\L = \sqrt{172} \\\\L = 13.11 ft\\\\L \approx 13.1ft[/tex]
Hence the approximate length of each side of the square to the nearest tenth is 13.1 feet
The symbols "<" and ">" are called
Answer:
< is less than
> is greater than
Step-by-step explanation:
< is less than
> is greater than
1.
The approximate total surface area of Earth is 5.1 x 108 km2. All the salt water on Earth has an approximate
surface area of 352,000,000 km2, and all the freshwater on Earth has an approximate surface area of 9 x 106 km?.
How much of Earth's surface is covered by water, including both salt and fresh water? Write your answer in
scientific notation.
Answer:
1,49 10^8 Km²
Step-by-step explanation:
Which of the following is most likely the next step in the series? o O A. o o OB. O c. D.
=====================================================
Explanation:
The number of points goes down by 1 each time.
The first figure has 4 points on the circle. The second figure has 3 points, and after that is 2 points. So the fourth figure is mostly likely to have 1 point on the circle.
The next step in the circular series is Option C with a point on the circle
What is a Circle?A circle is a closed figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle
The circumference of circle = 2πr
The area of the circle = πr²
where r is the radius of the circle
The standard form of a circle is
( x - h )² + ( y - k )² = r²,
where r is the radius of the circle and (h,k) is the center of the circle.
The equation of circle is ( x - h )² + ( y - k )² = r²
For a unit circle , the radius r = 1
x² + y² = r² be equation (1)
Now , for a unit circle , the terminal side of angle θ is ( cos θ , sin θ )
Given data ,
Let the first figure be represented as A
A = figure with a rectangle with 4 points on the circle
Let the second figure be represented as B
B = figure with a triangle with 3 points on the circle
Let the third figure be represented as C
C = figure with a line with 2 points on the circle
Let the next series be represented as D
where D should have only 1 point on the circle
Hence , the figure is Option C with a point on circle
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3(n-9)-2(n+4)=6n What is the solution
Answer:
3(n-9)-2(n+4)=6n
3n-27-2n-8=6n
n-35=6n
-35=5n
n= -7
Step-by-step explanation:
3(n-9)-2(n+4)=6n
open the brackets by multiplication
3n-27-2n-8= 6n
n-35=6n
35=-5nn=-7
If ST=19 and S lies at -4 , where could T be located?
Answer:
15 or -23
Step-by-step explanation:
I think you probably already turned this in but in case you haven't:
ST = 19 means that line segment ST is 19 units long. If we know that S is at -4, then T has to be 19 units away from -4, right?
So there's two directions we could go.
Add 19 to -4 to get 15, so T could be at 15. (If there's a line drawn between -4 and 15, it would be 19 units long.)
But the line could go left, towards negative infinity, too. So if we subtract 19 from -4, we'd get -23. T could also be at -23. (If there's a line drawn between -4 and -23, it would also be 19 units long. There's no such thing as a negative length.)
Please mark as Brainliest! :)
Find the x ? Help please
Answer:
x=23
Step-by-step explanation:
Priya and Tyler are discussing the figures shown below. Priya thinks that B, C, and D are scaled copies of A. Tyler says B and D are scaled copies of A. Do you agree with Priya, or do you agree with Tyler? Explain your reasoning.
Answer:
Neither Priya nor Tyler is correct. Both are wrong.
Step-by-step explanation:
Figure D is the only shape that we can refer to as a scaled copy of figure A. This is because, from observation, all segments that make up figure D are times two of the corresponding segments that make up figure A.
Whereas, if we compare figure B, and C with figure A, not all of their segments is twice as the corresponding segments of figure A.
Therefore, both Priya and Tyler are wrong. We cannot agree with any of them.
in geometry, you can use deductive rules to
A. find patterns
B. define terms
C. make conjectures
D. prove conjectures
3 sets of 6 boxes.What is 3 ÷ 5/6 ? three three and three-fifths three and three-sixths three and three-fourths
Answer:
3.6 or 3 3/5
Step-by-step explanation:
invert the 5/6 to 6/5 and multiply 3x6/5 which would get you 3 3/5
Answer:
the answer is b .
Step-by-step explanation:
need help −5x = 15 !!!!!!!!!!!!
Answer:
x = -3
Step-by-step explanation:
−5x = 15
-5x/-5 = 15/-5
x = -3
Find the midpoint of CH if C has coordinates (-5,-2) and H has coordinates (9,-4)
Answer:
(2,1)
Step-by-step explanation:
[tex]\mathrm{Midpoint\:of\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\\\quad \left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)\\\\\left(x_1,\:y_1\right)=\left(-5,\:-2\right),\:\left(x_2,\:y_2\right)=\left(9,\:4\right)\\\\=\left(\frac{9-5}{2},\:\frac{4-2}{2}\right)\\\\= (\frac{4}{2} , \frac{2}{2} )\\\\=\left(2,\:1\right)[/tex]
A new car is purchased for 22400 dollars. The value of the car depreciates at 11% per year. To the nearest tenth of a year , how long will it be until the value of the car is 5000 dollars?
Answer:
t= 12.9 years
Step-by-step explanation:
Value after t years = initial value ( 1 - r )^t
Where,
Value after t years= $5000
Initial value = $22,400
r= depreciation rate = 11%
t= length of time (years)
Value after t years = initial value ( 1 - r )^t
5000 = 22,400 ( 1 - 0.11)^t
5000 = 22,400(0.89)^t
Divide both sides by 22,400
(0.89)^t = 5000 / 22,400
(0.89)^t = 0.2232
Take the log of both sides
t log 0.89 = log 0.2232
t= log 0.2232 / log 0.89
= -0.6513 / -0.0506
= 12.87
t= 12.9 years
Write the following sentence using mathematical symbols. Twice x, plus 8 , is the same as -14 .
Answer:
2x + 8 = -14
Step-by-step explanation:
Twice x, plus 8 , is the same as -14.
2x + 8 = -14
Answer:
2x + 8 = -14
Step-by-step explanation
Because twice is 2 times and then you plus 8 i the same as -14
so 2 times= 2x then +8 so altoghther is 2x+8 and it says it's the same as -14
so the answer is 2x+8= -14
Brainly please!
) Simplify.
| – 15 – (-5)
Answer:
-9
Step-by-step explanation:
1−15−(−5)
−14−(−5)
−9
Answer:
-15-(-5)
= - 15 +5 (Multiplying - and - we get a plus(+))
=-10 ( - stg + stg means to subtract and since 15 is greater than 5 and it's sign is - we should keep that)
Use the interactive to solve the following problems:
What is the difference between -12 and -5?
What is the distance between -12 and -7 on a number
line?
units
Answer:
Use the interactive to solve the following problems:
What is the difference between –12 and –5?
✔ -7
What is the distance between –12 and –7 on a number line?
✔ 5
units
Step-by-step explanation:
The difference between -12 and -5 is 7.
The distance between -12 and -7 on a number line is 5 units.
What is a number line?""
1. The difference between -12 and -5 is
= (- 5) - (- 12)
= - 5 + 12
= 7
2. The distance between -12 and -7 on a number line is
= [(- 7) - (- 12)] units
= (- 7 + 12) units
= 5 units
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Simplify radical -81
Step-by-step explanation:
-81
[tex] \sqrt{ - 1} \: \times \sqrt{81} [/tex]
[tex] \sqrt{ - 1} = i [/tex]
[tex]i \times \sqrt{9 {}^{2} } [/tex]
[tex]i \times 9[/tex]
[tex]9i[/tex]
Malik borrowed $105 from his brother and plans to repay $12 per week. He creates a table to help him determine the
number of weeks it will take to repay his brother. How many weeks will it take Malik to repay his brother?
( 5
9
оооо
10
11
Mark this and return
Save and Exit
Next
Submit
Answer:
9 weeks
Step-by-step explanation:
$12 times 8 weeks =$96. Since that is not enough to pay him back you have to add one more week $12 times 9 weeks to get $108.
What are the coordinates of the vertex for
f(x)= 3x^2 +6x+3:
(-1,0)
(3.6)
(0,-1)
(6,3)
Answer:
Step-by-step explanation:
f(x) = 3x^2 + 6x + 3
a of s: -6/6 = -1
3(-1)^2 + 6(-1) + 3
3 - 6 + 3
-3 + 3 = 0
(-1,0)
answer is A. the first one
Jack is given an ice cream. It is equally likely that he is given a chocolate,vanilla or strawberry flavour
an image please because there is nothing explainign what you need
Each of the following are true with respect to Hypothesis testing except for:______.a. by failing to reject the null hypothesis, one has not proven that the alternative hypothesis is correctb. there are no exceptions, because all of the statements above are true.c. the statement of the alternative hypothesis always contains an equal signd. if the null hypothesis is not rejected, it does not mean the null is true
Answer:
b. there are no exceptions, because all of the statements above are true.
Step-by-step explanation:
Hypothesis testing refers to the method which is used to test the outcomes of the hypothesis. The result of the experiment conducted is analyzed whether or not the desired results are found. It helps in justifying and finding conclusions in the absence of the scientific theories about the conclusions. A null hypothesis is to be known by the individual before performing the Hypothesis testing.
Which value of a from the set (16,18,20,22) makes the equation 2(42-a)=48 true
Steps to solve:
2(42 - a) = 48
~Distribute left side
84 - 2a = 48
~Subtract 84 to both sides
-2a = -36
~Divide -2 to both sides
a = 18
Best of Luck!
If a-b is true and b-c is true,
then a-c is true.
A. A syllogism
B.A converse statement
C.An inverse statement
D. A contrapositive statement
Answer:
A. A syllogism
Step-by-step explanation:
The other 3 make no sense in this scenario, also I am in middle school make me brainlyest
Answer:
A syllogism.
Step-by-step explanation:
Note the 2 'middle' element b are the same.
The square root of 19 is an irrational number between 4 and 5.
1. How do you know it's irrational?
2. How do you know it's between 4 and 5?
plz help really. -4c - 9.6 + 5c = 0
Answer:
c= 48/5
Step-by-step explanation:
A student can read 7 pages of a book in 10 minutes how many pages of the book can the student read in 30 minutes
Answer:
210 pages
Step-by-step explanation:
7 pages = 10 minutes
A pages = 30 minutes
A = 210 pages
The student read 21 pages in 30 minutes if the student can read 7 pages of a book in 10 minutes.
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
It is given that:
A student can read 7 pages of a book in 10 minutes.
Let's suppose the student read x number of pages in 30 minutes.
Mathematically,
7 pages → 10 minutes
x pages → 30 minutes
7/x = 10/30
7/x = 1/3
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
x = 7×3
x = 21 pages
Thus, the student read 21 pages in 30 minutes if the student can read 7 pages of a book in 10 minutes.
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