Answer:
D. 82 square units
Step-by-step explanation:
The area of the given rectangle is 82 square units. The correct option is (D).
How to use distance formula?The distance formula is used to find the distance between two points (x₁, y₁) and (x₂, y₂) as √((x₁ - x₂)^2 + (y₁ - y₂)^2).
By knowing the sides, the area of different polygonals such as parallelogram, trapezium and rectangles etc. canbe found.
The vertices of the rectangle are given as (9, – 1), (-1, 7), (-5, 2), (5, 6).
Suppose A, B, C and D are the corresponding vertices.
In order to find the area length and breadth is required.
Here, AB is the length and BC is the breadth which can be found using the distance formula as,
AB = √((-1 - 9)^2 + (7- (-1))^2)
= √(10² + 8²)
= 12.8
BC = √((-5 - (-1))^2 + (2 - 7)^2)
=√(-4² + -5²)
= 6.4
Thus, Area = AB × BC
= 12.8 × 6.4
= 81.92
Which is approximately 82.
Hence, the area of the rectangle is 82 square units approximately.
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The sum of Ted's and Leon's ages is
13 years. The sum of Leon's and Andrew's
ages is 15 years. The sum of Ted's and
Andrew's age is 14 years. How old is
each of them?
10 points to whoever solves it
Answer:
Ted is 6 years old
Leon is 7 years old
Andrew is 8 years old
Step-by-step explanation:
Ted+Leon=13 ⇒T+L=13 ⇒L=13-T
Leon+Andrew=15 ⇒L+A=15 ⇒A=15-L ⇒A=15-(13-T) because Leon =13-Ted
A=2+T
Ted+Andrew=14
T+A=14 ( substitute Andrew age from A=2+T)
T+2+T=14
2T=12
T=12/2=6 (Ted is 6 years old)A=2+T=2+6=8 ( Andrew is 8 years old)Leon=13-T=13-6=7 ( Leons is seven years old)check: Ted+Leon=13 ⇒ 6+7=13
Leon + Andrew=15 ⇒7+8=15
Andrew+Ted=14 ⇒ 6+8=14
Identify the factors of the terms of the expressions.
3. 5+6a+11b
4. 13m-2n
Answer:
factors are 5, 6, a, 11, b
Step-by-step explanation:
3) 5 + 6a + 11b
Algebraic expressions: 5 + 6a + 11b
Are combinations of numbers, variables, and at least one arithmetic.
Term are: 5, 6a, 11b
Each expression is made up of terms. A term can be a signed number, a variable, or a constant multiplied by a variable(s).
Factors are: 5, 6, a, 11, b
Something which is multiplied by something else. A factor can be a variable, number, a term, or a longer expression.
Coefficient: 6, 11
The numerical factor of a multiplication expression that contains a variable.
Constant: 5
A number that cannot change its value.
4). 13m-2n (note: it applies as above)
Please help asap!! Thank you
Step-by-step explanation:
Hey, there!!
Let's simply work with it,
60° + 2x° + (2x+12)° = 180° { being a linear pair}.
or, 72° + 4x = 180°
4x = 180° - 70°
[tex]x = \frac{108}{4} [/tex]
Therefore, the value of x is 27°.
Now,
2x° = (2×27)°= 54°
(2x+12)° = 2×27°+12°= 66°.
(x+2)= 27+ 2= 29°
Now, The left angle is 27°.
Therefore, The answer is option A.
Hope it helps...
Please Simplify 2(7a+8)=86
Answer
5
Step-by-step explanation:
First you do whats in the parentheses
So it will look like this
14a+16=86 now you want to get 14a by itself so -16 from 86
then you get 14a=70
now divide 14a from 70 and your answer is 5
a=5
Tina is t years old, and her age five years ago was one fourth her age
sixteen years from now.
Uhhh pls help
Answer:
Euh t years old means ?
Step-by-step explanation:
i don't get it
DA = 0.0
Trapezoid ABCD is congruent to trapezoid EFGH, and the side lengths of ABCD are given. Find GH.
A. 9.0
B. 14.0
C. 20.0
D. cannot be determined
Answer:
The answer is D - cannot be determined
Step-by-step explanation:
Answer:
B. 14.0
Step-by-step explanation:
just took the test
Clark Kent is paid $0.45 for each person he helps. What is his pay for a day in which he saved 134
people?
Answer:
$60.30
Step-by-step explanation:
0.45 x 134 = $60.30
An Internet service provider offers a plan that allows a subscriber to download 2 GB or less of content per month. Define a variable for the amount downloaded. Identify the inequality and the graph that represents the content that can be downloaded.
Answer: Choice C
[tex]0 \le d \le 2[/tex]
Graph with filled in circles at d = 0 and d = 2, shading in between
==========================================
Explanation:
d = amount downloaded in gigabytes
The smallest amount is d = 0. We cannot download a negative amount of data, so this is why d = 0 is the smallest.
The largest amount allowed is d = 2. This is the cap that the ISP has set up.
So basically d can be anything between d = 0 and d = 2, including both endpoints. This means [tex]0 \le d \le 2[/tex]
We use filled in circles for both endpoints to show to the reader "include these endpoints". Shading is done in between to show the entire solution set of possible d values. For instance d = 1 is in that region so it is possible to have this solution. Something like d = 4 is outside the region and not possible.
g(x)=9x/6x-11
Find g(1).
Answer:
-9/5
Step-by-step explanation:
Suggestion: If you are dividing by 6x - 11, enclose 6x - 11 inside parentheses to remove any doubt:
9x
g(x) = -----------
(6x - 11)
To find g(1) replace x with 1 in the following:
9x
g(x) = -----------
(6x - 11)
obtaining ...
9(1) -9
g(1) = ------------- = ----------
(6[1] - 11) 5
Can someone solve -5x-10=10 please & thank you
Answer:
-4
Step-by-step explanation:
-5x-10=10
add 10 to -10 to get rid of it, and to 10 because whatever you do to one side, you have to do to the other
-5x=20
divide -5 into 20
x = -4
Is -7+9=-9+7 true false or open
Answer:
False.
Step-by-step explanation:
This is false.
When we carry out the operation -7 + 9, this equals 2.
When we carry out the operation -9 + 7, this equals -2.
Therefore, this is false because of the Commutative Property. It states that
a + b = b + a. Therefore, the equation is only true if both a terms would be negative. It can also apply for b terms.
Answer: The equation is false.
Step-by-step explanation:
So we have this equation here:
-7 + 9 = -9 +7
This equation may look like the Commutative Property, but be CAREFUL! It is NOT the Commutative Property because the Commutative Property has the same numbers, not different numbers.
Here is an example of the Commutative Property:
7 - 8 = -8 + 7
5 + 6 = 6 + 5
Did you notice that if there is a negative sign, when it switches (or commutes) the number keeps the negative sign?
Well if this is the case, then let's apply it to this problem.
-7 + 9 = -9 + 7
-7 and 7 are two different numbers, as are -9 and 9
So it is not the same thing as:
-7 + 9 = 9 - 7
Notice that 7 keeps the negative sign.
Even if we solve this problem, it is false.
-7 + 9 = -9 + 7
2 = -2 is not a equality! 2 and -2 are NOT the same.
Therefore, the equation is false!
what is the distance between (-8,5) and (4,9)
Answer:
Use the distance formula to determine the distance between two points.
Exact Form:
4 √ 10
The distance between points (-8, 5) and (4, 9) is 4√10.
What is a coordinate plane ?A coordinate plane is a plane in which a set of two number lines are represented, horizontal line is called x-axis and vertical line is called y-axis.
The given points are,
P(-8, 5) and Q(4, 9)
To find the distance between points P(-8, 5) and Q(4, 9),
Use formula,
The distance between two points A(x₁, y₁) and B(x₂, y₂)
Distance[tex]AB =\sqrt{(x_2-x_1)^2+ (y_2-y_1)^2}[/tex]
Distance between P(-8, 5) and Q(4, 9),
[tex]PQ = \sqrt{(4+8)^2 + (9-5)^2}\\\\PQ = \sqrt{12^2+4^2}\\\\ PQ = \sqrt{144 + 16}\\\\PQ = \sqrt 160\\\\PQ = 4\sqrt10\\[/tex]
The distance between points P(-8, 5) and Q(4, 9) is 4√10.
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Which of the following correctly uses exponents to write "6 factors of 2"? 2 6 6 ∙ 2 12 6 2
Answer:
C (6*2)
Step-by-step explanation:
Answer:
6 times 2
Step-by-step explanation:
Im not completely confident though so check other answers
apply properties of operatione to write an equivalent expression
Answer:
4t
Step-by-step explanation:
All we are doing is combining like terms and since all of then have a "t" in it we would just add the 4 "t's" together like normal addition.
Round 1.43 to the nearest whole number.
Answer:
the answer is 1
Step-by-step explanation:
Simplify by combining like terms. Type the terms in alphabetical order. -5q-2+2q-8= really need to get this done so it would mean a lot if I could get some help
Answer:
-3q - 10
Step-by-step explanation:
-5q - 2 + 2q - 8
-5q + 2q - 2 - 8
-3q - 10
7 less than twice a number
Answer:
2x-7
Step-by-step explanation:
Answer:
2x-7
Step-by-step explanation:
1
For what value of x is the equation -3x + 7 = -17 true?
Answer:
-3x+7=-17 x=8
Step-by-step explanation:
-3*8+7=-17
state and prove exterior angle property of triangle
Answer:
Step-by-step explanation:
An exterior angle of a triangle is equal to the sum of its interior opposite angles.If any side of a triangle is extended, then the exterior angle so formed is the sum of the two opposite interior angles of the triangle. In the given figure, the side BC of angle ABC is extended.
Erika read 90 pages in 2 and half hours. At the same time, how many hours would it take her to read 225 pages?
Answer:
6.25 hours
Step-by-step explanation:
pages per hour
pages/hour
90/2.5 = 36
36 pages per hour
225 / 36 = 6.25 hours
Answer:
6.25 hours
Step-by-step explanation:
2 and half hours = 2.5 hours
Proportions:
90 pages ⇔ 2.5 hours
225 pages ⇔ E hours
E = 225*2.5/90
E = 6.25 hours
6.25 hours = 6 and 1 quarter hours
What is an algebraic expression for 32 more than a number n
Answer:
n + 32
Step-by-step explanation:
More than indicates you are adding. 32 more than n is shown by the expression n + 32.
The algebraic expression for 32 more than a number n is 32 + n where n is the real number.
What is an expression?It is defined as the combination of constants and variables with mathematical operators.
It is given that:
32 more than a number n
Here n is the real number.
As we know,
The linear expression can be defined as the relation between two variables, if we plot the graph of the linear expression we will get a straight line.
If in the linear expression, one variable is present, then the expression is known as the linear expression in one variable.
The expression can be written mathematically,
32 more than a number n = 32 + n
Thus, the algebraic expression for 32 more than a number n is 32 + n where n is the real number.
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Given x=-3, y=6, and z=-4 -15+(-x)+y= Thank you for your help!
Solution:
Given, x=-3, y=6, and z=4
Putting these values in the given equation:
-15+(-x)+y
= -15+(-(-3)+6
= -15+3+6
= -15+9
= -6
7.1 cm
A company is designing a new cylindrical water
bottle. The volume of the bottle will be 134 cm3.
The height of the water bottle is 7.1 cm. What is
the radius of the water bottle? Use 3.14 for i.
The radius of the water bottle is about
cm. (Round to the nearest tenth as needed.)
Answer:
Cylinder Volume = PI * radius^2 * height
Radius = Square Root [Volume / (PI * height)]
Radius = Square Root [ 134 / (3.14 * 7.1)]
Radius = 2.45103
Radius = 2.45
Step-by-step explanation:
what is the distance between the points (4,-2) and ( -1, 10)
Answer:
The answer is 13 unitsStep-by-step explanation:
The distance between two points can be found by using the formula
[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ [/tex]
where
(x1 , y1) and (x2 , y2) are the points
From the question
The points are (4,-2) and ( -1, 10)
The distance between them is
[tex]d = \sqrt{ ({4 + 1})^{2} + ({ - 2 - 10})^{2} } \\ = \sqrt{ {5}^{2} + ({ - 12})^{2} } \\ = \sqrt{25 + 144} \\ = \sqrt{169} [/tex]
We have the final answer as
d = 13 unitsHope this helps you
A full 500L tank of water is being drained at a rate of 5L per minute into an empty tank. How long will it take fro the tank to have the same amount of water?
Answer:
50 Minutes
Step-by-step explanation:
For the empty tank to hold the same amount of water, we can simply take the total water of the full tank divided by the rate, divided by two to allow both tanks to be equal, aka, half.
500 L / 5 L per minute / 2
100 minutes / 2
50 minutes.
For both tanks to have the same amount of water, 250L, it would take 50 minutes with a flow rate of 5L per minutes.
Cheers.
simplify 3/5 x 1/4: fractions work
Answer:
[tex] \frac{3}{20} [/tex]
Step-by-step explanation:
[tex] \frac{3}{5} \times \frac{1}{4} [/tex]
[tex] = \frac{3 \times 1}{5 \times 4} [/tex]
Simplify
[tex] = \frac{3}{20} [/tex]
If you have any more questions please let me know.
Answer:
[tex]$\large\boxed{\frac{3}{20} = 0.15} $[/tex]
Step-by-step explanation:
[tex]$\frac{3}{5} \cdot \frac{1}{4} = \frac{3 \cdot 1}{5 \cdot 4}=\frac{3}{20} = 0.15 $[/tex]
Which is colder
-20° or -8°?
If anyone know please lmk
Answer: -3 and 5
Step-by-step explanation:
good luck!
How to convert 1 5/6
Answer:
11/6 as an improper fraction
Step-by-step explanation:
1 5/6 is 11/6 as an importer fraction and 1.86 as a decimal
4. If mZDEF = 3x +1 and mZDEG = 5x +19, find the value of x.
Answer:
x=-9
3x+1=5x+19
-1 -1
--------------------
3x=5x+18
-5x -5x
----------
-2x=18
x=-9