Answer:
4 sq. units
Step-by-step explanation:
Since the polygon has 4 vertices, hence the polygon is a quadrilateral with four sides and four angles.
We can see that for this polygon, opposite sides are parallel and equal to each other.
To find the area of the polygon, we have to first get the length of the polygon and then the width of the polygon, hence:
The length is the distance between (1, 2) and (3, 2):
[tex]length=\sqrt{(3-1)^2+(2-2)^2} =2\ units\\[/tex]
The breadth is the distance between (3, 2) and (3, 0):
[tex]length=\sqrt{(3-3)^2+(0-2)^2} =2\ units\\[/tex]
Since length = breadth, hence this is a square.
Area= length * breadth = 2 * 2 = 4 sq. units
find formula of s in terms of a, b, cos(x)
Answer:
[tex]\displaystyle s = \frac{2ab\cos x}{a+b}[/tex]
Step-by-step explanation:
We want to find a formula for s in terms of a, b, and cos(x).
Let the point where s intersects AB be D.
Notice that s bisects ∠C. Then by the Angle Bisector Theorem:
[tex]\displaystyle \frac{a}{BD} = \frac{b}{AD}[/tex]
We can find BD using the Law of Cosines:
[tex]\displaystyle BD^2 = a^2 + s^2 - 2as \cos x[/tex]
Likewise:
[tex]\displaystyle AD^2 = b^2+ s^2 - 2bs \cos x[/tex]
From the first equation, cross-multiply:
[tex]bBD = a AD[/tex]
And square both sides:
[tex]b^2 BD^2 =a^2 AD^2[/tex]
Substitute:
[tex]\displaystyle b^2 \left(a^2 + s^2 - 2as \cos x\right) = a^2 \left(b^2 + s^2 - 2bs \cos x\right)[/tex]
Distribute:
[tex]a^2b^2 + b^2s^2 - 2ab^2 s\cos x = a^2b^2 + a^2s^2 - 2a^2 bs\cos x[/tex]
Simplify:
[tex]b^2 s^2 - 2ab^2 s \cos x = a^2 s^2 - 2a^2 b s \cos x[/tex]
Divide both sides by s (s ≠ 0):
[tex]b^2 s -2ab^2 \cos x = a^2 s - 2a^2 b \cos x[/tex]
Isolate s:
[tex]b^2 s - a^2s = -2a^2 b \cos x + 2ab^2 \cos x[/tex]
Factor:
[tex]\displaystyle s (b^2 - a^2) = 2ab^2 \cos x - 2a^2 b \cos x[/tex]
Therefore:
[tex]\displaystyle s = \frac{2ab^2 \cos x - 2a^2 b \cos x}{b^2- a^2}[/tex]
Factor:
[tex]\displaystyle s = \frac{2ab\cos x(b - a)}{(b-a)(b+a)}[/tex]
Simplify. Therefore:
[tex]\displaystyle s = \frac{2ab\cos x}{a+b}[/tex]
35\40 = 7\?
a. 5
b. 8
c. 1
d. 4
Answer:
b. 8
Step-by-step explanation:
Simplify the left side by dividing the top and bottom by 5
35/5 = 7
40 /5 = 8
7/8
Hey there!
35/40 = 7/x
Cross Multiply the fraction
35(x) = (7)(40)
→ 35x = 280
DIVIDE 35 to BOTH SIDES
35x/35 = 280/35
CANCEL out: 35/35 because that gives you 1
KEEP: 280/35 because that helps solve for the x-value
→ x = 280/35
x = 8
Therefore, your answer is most likely: 8 (Option B)
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Someone help me out please
Answer:
254.5
Step-by-step explanation:
Area = πr²
= π×9²
= 81π
= 254.5 (rounded to the nearest tenth)
Answered by GAUTHMATH
Convert 300 grades to a radian measure
A=5pi
6
B=6pi
5
C=3pi
5
D=5pi
3
Answer:
5pi/3
Step-by-step explanation:
The conversion factor is pi/180
300 *pi/180 = 300pi/180 = 30pi/18 = 5pi/3
On a piece of paper, graph y+ 2[tex]\leq[/tex] 1/4 x-1. Then determine which answer choice matches the graph you drew.
Answer:
Graph A
Step-by-step explanation:
If B is the midpoint of line AC, AC = CD, AB = 3x+4, AC=11x-17, and CE = 49, find DE. (Show work)
Answer:
2(3x+4) = 11x-17
6x+8 = 11x-17
25=-5x
x=-5
11x-17
55-17
38
AC = 38
CD = 38
49-38 = 11
DE = 11
Let me know if this helps!
An 8 Foot ladder leans against a building. I'd the ladder makes an angle of 60° with the ground, how far up the wall does the ladder reach? Also, how far from the building is the base of the ladder? round to the nearest 10th
9514 1404 393
Answer:
up the wall: 4√3 ft ≈ 6.9 ftalong the ground: 4 ftStep-by-step explanation:
The side ratios in a 30°-60°-90° triangle are 1 : √3 : 2. Since the hypotenuse of this triangle is 8 feet, the multiplier of these ratio values is (8 ft)/2 = 4 ft.
The triangle sides are ...
4 ft : 4√3 ft : 8 ft
The ladder reaches 4√3 ≈ 6.9 ft up the wall. Its base is 4 ft from the building.
QUESTION: Josephine put a frame round his picture which measured 36 cm by 34 cm. A margin 4cm wide was left all the way round. What was the area of the margin ?
(NOTE:SORRY BUT UNFORTUNATELY THERE ISN`T A DIAGRAM)
HELP ILL GIVE BRAINLIEST
Answer:
the image/text is not there
Step-by-step explanation:
Jamal uses factoring to find the zeros of the equation x2+4x−32=y. He concludes that the graph intersects the x-axis at x=−4 and x=8.
Which statement BEST explains whether Jamal is correct or incorrect?
A
Jamal is correct because x2+4x−32 is equivalent to (x+4)(x−8).
B
Jamal is correct because x2+4x−32 is equivalent to (x−4)(x+8).
C
Jamal is incorrect because x2+4x−32 is equivalent to (x−4)(x+8).
D
Jamal is incorrect because x2+4x−32 is equivalent to (x+4)(x−8).
Answer:
c)
Step-by-step explanation:
x^2+4x-32 = (x-4)(x+8)
hence,
(x-4)(x+8) = 0
x = 4 or x = -8
the graph intersects at 4 not -4
Jamal is incorrect because x2+4x−32 is equivalent to (x−4)(x+8). Option C is correct.
Jamal uses factoring to find the zeros of the equation x²+4x−32=y. He concludes that the graph intersects the x-axis at x=−4 and x=8.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
x²+4x−32=y
Let y = 0
x²+4x−32=0
x² + 8x - 4x - 32 = 0
x (x + 8) - 4 (x + 8) = 0
(x - 4)(x + 8) = 0
Thus, Jamal is incorrect because x2+4x−32 is equivalent to (x−4)(x+8). Option C is correct.
Learn more about simplification here:
https://brainly.com/question/12501526
#SPJ2
x^4 - x^2 - 2x -1 . solve
Answer:
X⁴–X²–2X –1=0
(X²+X+1)(X²–X–1)=0
[tex]x = - \frac{1 - i\sqrt{3} }{2} \\ x = - \frac{ 1 + i \sqrt{3} }{2} [/tex]
[tex]x = \frac{1 + \sqrt{5} }{2} \\ x = \frac{1 - \sqrt{5} }{2} [/tex]
I hope I helped you^_^
What is the value of a? Round to the nearest tenth.
Answer:
50 percent?
Step-by-step explanation:
Helppppp pleaseeee !!!!!!!!!!
Step-by-step explanation:
the 60 preliminary published articles are a constant.
all the new articles are simply added to that to get the total number of published articles.
every months produces 12 more articles.
so,
m = 1 means a = 60 + 1×12 = 72
m = 3 means a = 60 + 3×12 = 60 + 36 = 96
m = 4 means a = 60 + 4×12 = 60 + 48 = 108
m = 9 means a = 60 + 9×12 = 60 + 108 = 168
steps to describe an inscribed regular hexagon.
Answer:
many sides
unique shape
One dozen cookies cost $5.50. At that rate, how much does one cookie cost?
Answer:
0,458$
Step-by-step explanation:
A parabola has x-intercepts at x=-3 and x=4. What the equation of the parabola?
Answer:
x² - x - 12 = 0
Step-by-step explanation:
Given the x- intercepts are x = - 3 and x = 4 , then the factors are
(x + 3) and (x - 4)
Expressing as a zero product
(x + 3)(x - 4) = 0 ← expand using FOIL
x² - x - 12 = 0
What is the value of m in the figure below? If necessary, round your answer to
the nearest tenth of a unit.
Answer:
Option D, 13.2
Step-by-step explanation:
m = √{7×(18+7)}
= √(7×25)
= 5√7
= 13.2 (rounded to the nearest tenth)
which is less full? A dump truck that is 1/10 full or one that is 7/10 full?
Answer:
Its the first one
Step-by-step explanation:
A dump truck that is 1/10 is less full than a 7/10 one.
Ratios, Rates, and Percents
17:30
Question 16
Problem
Patricia traveled an average speed of 65 miles per hour for 4.5 hours and then traveled at an average speed of 60 miles per hour for 1.5 hours. What was the total distance in
miles that Patricia traveled during this time?
Answer:
382.5 :)
Step-by-step explanation:
took test
Perform the indicated operation.
(-50) ÷ (-2)
(-50)/(-2)
= 25
when numbers with same signs are divided it gives positive sign........
Find the area of a triangle with legs that are: 16 m, 12 m, and 8 m.
O A. 16.4 m2
B. 54 m2
C. 46.5 m2
D. 38.2 m2
ans. 46.5m2......................
Which function has a double root of 3 and a double root of -2
Sarah has saved $150. She wants to double the amount she saves each month. As an incentive, Sarah's grandma says if she saves that amount, she will give her an additional $50 each month. What is the recursive sequence formula and first term for Sarah’s savings
A recursive relation is a relation that defines the terms in a sequence with the previous terms.
Here, the recursive relation will be:
[tex]A_n = 2*A_{n - 1} + $50[/tex]
A₁ = $150.
We know that:
Sarah has saved $150 at the moment.
She wants to double the amount that she saves each month, so the next month she needs to save 2*$150 = $300
And if she saves the $300, then her grandma will give her another $50.
Then, if the previous month Sarah saved A, then the next month she will get the double of A plus $50, which is:
2*A + $50
Then the recursive relation is just:
[tex]A_n = 2*A_{n - 1} + $50[/tex]
Where Aₙ is the amount that she saves in the n-th month, and the first term of the sequence is the initial amount that she saved, so we have:
A₁ = $150.
If you want to learn more about recursive relations you can read:
https://brainly.com/question/13143285
What is the answer of 603 x 42 , this question is multiply , it’s of my brother who is just in g-4 …… pls help if you know but teach by process
Answer:
25326Step-by-step explanation:
please refer to the picture above
[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]
How do I solve this
Answer:
x = -1 y = 3
Step-by-step explanation:
x = 2y-7
2x + 3y = 7
Substitute x =2y-7 in 2y + 3y = 7
2(2y-7) + 3y = 7
4y-14+3y = 7
7y - 14 = 7
7y = 7 + 14
7y = 21
7y/7 = 21/7
y = 3
Substitute 3 for y in x = 2y-7
x = 2(3) - 7
x = 6 -7
x = -1
Answered by Gauthmath
Solve the equation.
Distribute: 4-2(x+7) = 3(x+5)
Combine Terms: 4-2x-14 = 3×+15
-10-2×= 3×+15
+10 +10
_______________
-2× = 3× + 25
-3x -3x
___________________
-5× = +25
÷ -5 ÷ -5
_____________________
ANSWER : x = -5
Part 2 : What is the value of x for the given equation ?
4-2(×+7)=3(×+5)
ANSWER : × = -5
Answer:
- 5
Step-by-step explanation:
Solve for x
4-2(×+7)=3(×+5)
We open the bracket :
4 - 2x - 14 = 3x + 15
Collect like terms
-2x - 3x = 15 + 14 - 4
-5x = 25
Divide both sides by - 5
-5x/-5 = 25 / - 5
x = - 5
what is |-41 | pls hurry
Answer:
41
Step-by-step explanation:
The absolute value means take the non-negative number
|-41| = 41
Someone please helppp
Answer:
Step-by-step explanation:
L = 2 + sqrt(2)
W = 4 - 2sqr(2)
Area = L * W
Area = (2 + sqrt(2) )* (4 - 2sqrt(2) )
Use Foil
F: 2*4 = 8O: 2*(-2sqrt(2) = - 4sqrt(2)I: 4*sqrt(2)L: sqrt(2)*(-2sqrt(2) = - 2*2= - 4Result
Area = 8 - 4 - 4sqrt(2) + 4sqrt(2)
Area = 4
Anyone who can help me with this?
Answer:
C
Step-by-step explanation:
We know that the first integer will be "l" so the second will be l + 1, third will be l + 2, fourth will be l + 3, and the fifth will be l + 4. The question says "the greatest is g" so that means that the fifth integer is the greatest meaning that is the value of g. Now that we know the value of g, we can substitute it into the equation they gave us and simplify.
l+(l+4)/2
2l+4/2
l + 2
Best of Luck!
Answer:
C
Step-by-step explanation:
say your 5 consecutive numbers are 6-10
if 6 is l and 10 is g then
6+10 over 2 equals 8
this proves that l+2 is correct since 6+2=8
i am a decimal with 2 decimal places round me to the nearest tenth and I will be 7.6 What are the decimals that i might be?
Answer:
The answer is below
Step-by-step explanation:
There are multiply answers, I am pretty these are the answers
7.55
7.56
7.57
7.58
7.59
Step-by-step explanation:
The decimal can be from 7.55-7.64
When the range of the decimal is from 1-4, 5-9 during rounding it then the value will change to 7.6
Like 7.64, 7.63,7.62,7.61 will be rounded off to 7.6
And 7.55,7.56,7.57,7.58,7.59 will be rounded off to 7.6 too
please click thanks and mark brainliest if you like :)
