The area of the parallelogram is equal to 101716 ft².
QuadrilateralsThere are different types of quadrilaterals, for example: square, rectangle, rhombus, trapezoid and parallelogram. Each type is defined accordingly to its length of sides and angles. For example, the opposite sides of a parallelogram are equal and parallel.
Parallelogram AreaYou can find the parallelogram area from two formulas:
A=b * h , where b=base and h=height;A= a*b* sin(Θ), where a=side 1, b=side 2 and Θ=angle between the sides;The question gives: the length of both sides (170 ft and 650 ft) of the parallelogram and the angle between these sides (113°).
Thus, you can apply the formula: A= a*b* sin(Θ). Therefore:
A= 170 * 650* sin (113°)
A=101716 ft²
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PLEASE HELP
The circumference of a circular rug is about 18.84 feet, and the diameter of
the rug is 6 feet
Which expression best represents the value of ni?
A.
18.84
6
B. 18.84
C.
3
18.84
D. 18.84
3
Answer:
A
Step-by-step explanation:
Answer:
A) 18.84 divided by 6 is the answer.
Step-by-step explanation:
pi is essentially any circles' circumference over its diameter. In this case, the rug's circumference is 18.84 and it's diameter is 6, therefore to find pi, you would do 18.84 divided by 6, which is answer A.
Hope this helps!
HELP ASAP
Refer to the diagram at the right. Give the area of each
region in standard form.
a. Shaded rectangle
b. Larger rectangle
c. Unshaded region
Answer:
Step-by-step explanation:
(a). [tex]A_{1}[/tex] = x ( 2x + 1 ) = 2x² + x
(b). [tex]A_{2}[/tex] = 2( 2x + 1 )( 5x + 3 ) = 20x² + 22x + 6
(c). [tex]A_{3}[/tex] = 20x² + 22x + 6 - ( 2x² + x ) =
( 20x² - 2x² ) + ( 22x - x ) + 6 =
18x² + 21x + 6
using rounding to the nearest 10 which number is best estimate of 432 - 169
can someone help me with this
Answer:
B. across the y-axis
Step-by-step explanation:
The line of reflection is the perpendicular bisector of the segment between the orginal point and its image. If you plot the two points, you see that the y-axis is that bisector.
The point was reflected across the y-axis.
__
Additional comments
Changing the sign of the x-coordinate means a point that was some distance on one side of the y-axis is now that same distance on the other side. That is, the y-axis is the line of reflection when the sign of x changes.
Similarly, the x-axis is the line of reflection when the sign of y changes.
(x, y) ⇒ (-x, y) . . . . reflection across the y-axis
(x, y) ⇒ (x, -y) . . . . reflection across the x-axis
__
Changing the signs of both coordinates (in either order) is effectively a reflection across the origin. There are other names for this reflection, too.
(x, y) ⇒ (-x, -y) . . . . reflection across both axes, across the orign, rotation 180°
Please help me with this please and thank you please actually help me
Step-by-step explanation:
f(-1) = 4(2)^-1 ≈ 4 × 1/2 = 2
(x, f(x)) = (-1, 2)
f(0) = 4(2)⁰ = 4×1 = 4
(x, f(x)) = (0, 4)
f(1) = 4(2)¹ = 4×2 = 8
(x, f(x)) = (1, 8)
f(2) = 4(2)² = 4×4 = 16
(x, f(x)) = (2, 16)
S = 4LW + 2WH; S = 184, L = 9, W = 4.
Step-by-step explanation:
S=4LW+2WH
160=4(9)(4)+2(4)H
160 = 144 + 8H
160- 144 = 144 - 144+8H
16 =8H
16/8H = 8H/8
H=2
What is the distance between (-13, 9) and (11, 2) on
a coordinate grid
Answer:
25
Step-by-step explanation:
Distance (d) = √(11 - -13)2 + (2 - 9)2
= √(24)2 + (-7)2
= √625
= 25
Answer: 25 is the answer
Step-by-step explanation:
The difference of two numbers is 4 and their product is 60. Find the numbers.
Answer:
x = 10; y = 6
Step-by-step explanation:
Let's list the factors of 60 because the product of those numbers is 60.
⇒ Factors of 60: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60The following possibilities of x and y are possible using (x × y = 60):
60 and 1 ⇒ x = 60; y = 1 ⇒ 60 × 1 = 6030 and 2 ⇒ x = 30; y = 2 ⇒ 30 × 2 = 6020 and 3 ⇒ x = 20; y = 3 ⇒ 20 × 3 = 6015 and 4 ⇒ x = 15; y = 4 ⇒ 15 × 4 = 6012 and 5 ⇒ x = 12; y = 5 ⇒ 12 × 5 = 6010 and 6 ⇒ x = 10; y = 6 ⇒ 10 × 6 = 60Let's check each possibilities using the equation (x - y = 4):
60 and 1 ⇒ 60 - 1 = 59 ≠ 430 and 2 ⇒ 30 - 2 = 28 ≠ 420 and 3 ⇒ 20 - 3 = 17 ≠ 415 and 4 ⇒ 15 - 4 = 11 ≠ 412 and 5 ⇒ 12 - 5 = 7 ≠ 410 and 6 ⇒ 10 - 6 = 4 = 4 (Correct)Thus, the values of x and y are 10 and 6 respectively.
HELP HELP HELPPPPP
thanks lol
Answer:
257mm^2
Step-by-step explanation:
18*(3+15)/2 = 162
4*(15+5) =80
3+5 = 15
total = 257 mm^2
Answer:
Step-by-step explanation:
Area of composite figure:
Shape I:
Shape I is an triangle
base= 3 + 15 + 5 = 23 mm
height = 18 mm
[tex]\boxed{\text{Area of traingle = $\dfrac{1}{2}base*height$}}[/tex]
[tex]= \dfrac{1}{2}*18*23\\\\= 9*23\\\\= 207 \ mm^{2}[/tex]
Shape 2:
Shape 2 is an rectangle.
length = 15 + 5 = 20 mm
width = 4 mm
[tex]\boxed{\text{Area of rectangle = length * width}}[/tex]
= 20 *4
= 80 mm²
Shape 3:
length = 5 mm
widht = 3 mm
Area of shape 3 = 5 * 3 = 15 mm²
Area of the composite shape = 207 + 80 + 15
= 302 mm²
An inequality is shown.
2x + 5 ≥ 15
Which model represents the first step in solving this inequality?
A
+1
+1 +1
+1 +1
AA
+1
+1 +1 +1 +1
+1
+1 +1
B
+1 +1
+1
+1 +1
+1 +1 +1 +1 +1
AA
+1 +1
+1
+1
+1
+1
+1
+1 +1 +1
XXA
+1 +1
+1
+1
D
+1 +1 +1
AV
+1 +1
+1
+1 +1
+1 +1 +1
Answer:
Option A
Step-by-step explanation:
Step 1: Solve the equation
[tex]2x + 5 \geq 15[/tex]
[tex]2x + 5 - 5 \geq 15 - 5[/tex]
[tex]2x \geq 10[/tex]
[tex]2x / 2 \geq 10/2[/tex]
[tex]x \geq 5[/tex]
Step 2: What model represents the equation
Seems like option A represents the best because it showcases 2 x's and 5 +1's on the left side which is then greater or equal to the right side with 10 +1's.
Answer: Option A
First, subtract 5 on both sides
2x≥15-5
2x≥10
Now divide by 2 on both sides
x≥5
The correct option is Option Ahope helpful ~
Estimate
10
12
−
3
8
using benchmark values. Your equation must show the estimate for each fraction and for the solution.
Step-by-step explanation:
I never learned this (for good reasons, I say). for me this is the strangest thing in math. math is precise. we are not guessing around when we can actually calculate things.
this is definitely ok, when just trying to decide, if one fraction is larger than the other, but to use that for an actual operation among fractions, is the biggest nonsense I have ever seen in math lessons (and not simpler than doing the precise calculation). again, math is a precise thing. the only valid level of imprecise answers is rounding, but only for the end result, not for intermediate results, because the rounding errors are rarely compensating for each other, they mostly pile up making the end result even less precise.
enough with the venting ...
benchmark fractions are the simple fractions (and their multiples)
1 (=1/1), 1/2, 1/3, 1/4, 1/5, 1/6
and then in steps of 2 :
1/8, 1/10, 1/12, ...
we try to find the closest simple fractions to our actual fractions and use them to estimate the actual result.
the simplest (but also normally the least precise) benchmark approach is using 1/2 as benchmark unit and 0, 1/2, 1 as benchmarks.
so, is 10/12 closest to 0, to 1/2 or to 1 ?
we know that 0 in 12ths would be 0/12, 1/2 would be 6/12, and 1 would be 12/12.
so, out of these 3 values 10/12 is closest to 12/12 (=1), so that is what you are choosing as representation.
is 3/8 closest to 0, 1/2 or to 1 ?
we would have 0/8, 4/8, 8/8.
and 3/8 is closest to 4/8 (= 1/2), and that is what we are choosing here as representation.
and the estimated result of 10/12 - 3/8 = 1 - 1/2 = 1/2 or 4/8 or 6/12.
let's pick 1/4 as benchmark unit.
so, are the numbers closest to
0, 1/4, 2/4, 3/4 or 1 (4/4) ?
for 10/12 we get then
0/12, 3/12, 6/12, 9/12, 12/12
and 10/12 is closest to 9/12 (3/4), which we pick as representation.
for 3/8 we get
0/8, 2/8, 4/8, 6/8, 8/8
if equidistant, we have to round up, so, we get 4/8 (2/4), which we pick as representation.
and the estimated calculation is
10/12 - 3/8 = 3/4 - 2/4 = 1/4
which is really horrible ...
2 and 4 are factors of 12 and 8. all smaller benchmark fractions (<1/4; so, e.g. 1/5, 1/6, 1/8. ...) are not meeting that criteria, making the benchmark finding much harder. so, I would not try that.
the real result is
the LCM of 12 and 8 is 24 (2×12 and 3×8).
so, we have
20/24 - 9/24 = 11/24 (almost 1/2).
so, actually, the benchmark unit of 1/2 is giving the best result here.
but to just do the exercise of benchmark units that are not factors of both denominators, let's pick 1/6
so, are the numbers closest to
0, 1/6, 2/6, 3/6, 4/6, 5/6 or 1 (6/6) ?
for 10/12 we get (all nicely)
0/12, 2/12, 4/12, 6/12, 8/12, 10/12, 12/12
so, 10/12 is closest to 10/12 (of course) = 5/6, which we pick as representation.
for 3/8 we get (ugh, we have to go for 24ths here too as 4×6 and 3×8)
0/24, 4/24, 8/24, 12/24, 16/24, 20/24. 24/24
3/8 = 9/24
so, the closest number to 9/24 is 8/24 (= 2/6), which we pick as representation.
and the estimated calculation is
10/12 - 3/8 = 5/6 - 2/6 = 3/6 = 1/2
did I say already that I don't like this ? that I don't see the advantage to the actual calculation ?
so, just in case : I don't like this (ugh) !
HELP ASAP BEING TIMED! If Triangle J K L is congruent to Triangle B C A, which statement must be true?
A)Segment J K is congruent to Segment A B
B)Segment J K is congruent to Segment K L
C)Segment J L is congruent to Segment B A
D)Segment J L is congruent to Segment B C
Answer:
Choice C
Step-by-step explanation:
This is like a matching question. Here's what I mean by this. We know Triangle BCA and Triange JKL are congruent. So, what we have to do is match the side lengths together.
So the first side of BCA matches with JKL, the second side of BCA matches with JKL, the third side of BCA matches with JKL.
So first side:
BC is congruent to JK
So second side:
CA is congruent to KL
So third side:
JL is congruent to BA
The third side is one of our answer choices.
That answer choice is C.
Answer:
c
Step-by-step explanation:
Please help me with this please and thank you
Answer:
I think i'm wrong i think it is C
Step-by-step explanation:
X^2 =11+2 sqrt30 find value of X
Answer:
If the question goes like this : x²=11+2
then the value of x will be √13
Step-by-step explanation:
x²=11+2
x²=13
x=√13 ans…
Please help me
x^2 + 5=41 (find all solutions to the equation)
Answer:
X=6!!
Step-by-step explanation:
x2+5=41. x2=36. ±62=36. x=6.
x=6!!!
Which is the exponential form of logb 14 = 2? 2b = 14 b2 = 14 b14 = 2 142 = b
Answer:
[tex]b^2 = 14[/tex]
Step-by-step explanation:
log(base)(power) = (exponent).
In this case: logb(14) = 2
Note the variable/number in place of each term. Set the equation:
base^power = exponent
[tex]log_b 14 = 2\\b^2 = 14[/tex]
[tex]b^2 = 14[/tex] is your answer.
~
Does someone understand this?
I need this answered please
Answer:
domain: ( 3,6,6)
range : (b,a,d)
Martín quiere poner una manguera color neón alrededor del helado que está afuera de su nevería para llamar la atención de sus clientes. Considerando las dimensiones del helado como se muestra en la figura, ¿Cuál es la longitud en centímetros de manguera que se requiere para rodear el helado? *
area 80 cm
longuitud 89. 44cm
215. 04 cm
295. 04 cm
304. 48 cm
384. 48 cm
La manguera que necesita Martín para rodear el helado es de 304,48m
Cómo calcular la longitud de la manguera que necesita Martín?Para calcular la longitud de la manguera que necesita Martín para rodear el helado es necesario aplicar la siguiente fórmula matemática:
Longitud de la manguera = π × r + 2 × LLongitud de la manguera = 3,14 × 40 + 2 × 89,44 Longitud de la manguera = 125,6 + 178,88Longitud de la manguera = 304, 48 mDe acuerdo a lo anterior, la longitud de la manguera que necesita Martín es de 304,48m.
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Maya has warm 120 caramel apples to sell each caramel Apple is covered with
one topping how many caramel apples are covered with sprinkles
Answer:
The total number of caramel apples are covered with sprinkles is 20 and this can be determined by using the arithmetic operations.
Step-by-step explanation:
Given :
Maya has 120 caramel apples to sell. Each caramel apple is covered with one topping.
1/5 of the caramel apples are covered with peanuts.
1/3 of the caramel apples are covered with chocolate chips.
3/10 of the caramel apples are covered with coconut. The rest are covered with sprinkles.
The following steps can be used in order to determine the total number of caramel apples are covered with sprinkles:
Step 1 - The arithmetic operations can be used in order to determine the total number of caramel apples are covered with sprinkles.
Step 2 - Let 'n' be the number of caramel apples are covered with sprinkles.
Step 3 - So, the value of 'n' is calculated as:
Step 4 - Simplify the above equation.
120 = 24 + 40 + 36 + n
n = 20
For more information, refer to the link given below:
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Answer:
There are 20 caramel apples that are covered with sprinkles.
Step-by-step explanation:
First we should make all of these have a common denominator. We could make these be 1/5 = 6/30, 1/3 = 10/30, 3/10 = 9/30. Now we can add them all up. 6 + 10 + 9 = 25/30. Now, to figure out how many apples is 1/30. 120 divided by 30 = 4. Now we can do 4x25 because that's how many non sprinkle apples there are. This is 100. 120 - 100 = 20. You could have also done 4x5 because there were 5/30 sprinkle apples, and gotten the same answer.
so, there are 20 caramel apples that are covered with sprinkles.
{hope I helped you.]
Jacob had x apple pies. For each lemon pie sold, 10 more than twice the number of apple pies are sold. If jacob has sold 80 lemon pies, how many apple pies were sold.
A) 70
B) 25
C) 35
D) Not Here
Answer:
C) 35
Step-by-step explanation:
The answer is C because he sold 80 lemon pies and as the question states ten more than twice the number of apple pies were sold .
Subtract 80 by 10 and divide it by 2
80-10=70÷2 = 35
Alex is putting 7 pounds of strawberries in containers. Each container holds 1/3 of a pound. How many containers will he use?
5th grade question
Please answer as soon as u see
Answer:
21
Step-by-step explanation:
7 x 3 is 21 you carry the 21 down 21/3=7
There you go!
if 6 coins are flipped, find the probability that there is at least one heads?
Answer:
63 in 64 chance
Step-by-step explanation:
If you for one coin it would be a 50% chance so you multiply that [tex]\frac{1}{2}^{6}[/tex] which would be the probability of no heads 1/64 and at least 1 head you would [tex]1-\frac{1}{64}[/tex] which is [tex]\frac{63}{64}[/tex]. Ask me if you have any further questions
the sum of a number w and twenty-four to the power of four
Is it (W+24)⁴ or W+24⁴
Answer:
(w + 24)⁴
Step-by-step explanation:
The sum is to the power of four, so it would be the entire expression.
Hope this helps!
Emma buys a game for $26.84 she gives the clerk $30.00. List Emma’s change using the least amount of dollar bills and coins
Answer:
4 dollars, a dime, a nickel, and a penny
Answer:
4 dollars
1 dime
1 nickel
1 penny
Step-by-step explanation:
what are the guidlines
Answer:
A guideline is a statement by which to determine a course of action. A guideline aims to streamline particular processes according to a set routine or sound practice.
Five candy bars cost $6.57. The cost of each candy bar is the same. What is the cost of each candy bar rounded to the nearest cent
total price : amount = individual price
6.57:5=1.31
#9 what is the answer
The triangles ABC and EDC have corresponding sides
The triangles ABC and EDC are similar
How to prove that the triangles ABC and EDC are similar?The given parameters are:
ED = 8, DC = 10, EC = 12, AB = 12
BC = 15 and AC = 21
To determine that the triangles are similar, we simply divide the corresponding sides to determine the scale factor (k).
So, have:
k = AB/ED = BC/DC
This gives
k = 12/8 = 15/10
Evaluate the quotients
k = 1.5 = 1.5
The scale factors are equal
Hence, the triangles ABC and EDC are similar
Readmore about similar triangles at:
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simplify l(m-n) + m (n-l) + n (m-l)
Step-by-step explanation:
Multiplying :-l(m-n) + m (n-l) + n (m-l)lm - ln + mn - ml + nm - nlSolve the like terms :-lm - ml - ln - nl + mn + nm2mn - 2nlTake common :-2n(m - l)...simplified Hope it helps you !!Answer:
-2ln + 2mn
Step-by-step explanation:
Simplify l(m-n) + m(n-l) + n(m-l)
Step 1 : Distribute and multiply
l(m-n) + m(n-l) + n(m-l)
l(m) + l(-n) + m(n) + m(-l) + n(m) + n(-l)
lm - ln + mn - lm + mn - ln
Step 2: Combine like terms
lm - ln + mn - lm + mn - ln
lm - lm - ln - ln + mn + mn
0 -2ln + 2mn
Solution:
-2ln + 2mn
Hope this helps!
Solve for x. Round to the nearest tenth, if necessary.
Answer:
We need to use the sine of 17 degrees to find x. Our proportion is sin(17 degrees)=x/9.3. Multiply both sides by 9.3 and we get 9.3sin(17)=x. Using a calculator, we get about 2.7.