Answers
Answer:
42 square units
Step-by-step explanation:
imagine the rectangle around the original shape, it would be LxW which wold be 9 x 6 = 54. Then if you find the area of the two triangles cut out of the left and right sides, each triangle area is 1/2 base x height, which is 1/2(6x2)=1/2(12)=6 and x2 for 2 triangles and that = 12.
Now subtract 54-12=42 sq. units shaded.
Related Questions
Can someone help me please
Answers
230,000
10,000,000
Find the slope of the line below
Answers
Answer:
1
Step-by-step explanation:
Line is passing through the points (2, 2) & (6, 6)
Slope of line = (6 - 2)/(6 - 2) = 4/4 = 1
Primary school students are playing hide and seek at recess as the counting begins Jon runs 100 feet east , turns 45 degrees north of east and runs another 120 feet to find a hiding spot . Lisa finds her hiding spot by running 120 feet west , turning 32 degrees south of west , and continuing another 100 feet which students hiding spot is closer to starting point ?
Answers
Answer:
Jon's hiding spot is closer to the starting point.
Step-by-step explanation:
Jon's final position forms a triangle with sides 100 ft and 120 ft respectively with an angle of 180 - 45 = 135 between them. Since the angle between the 100 ft direct east and 120 ft direction is 45, since Jon turns 45 after moving for 100 ft and then moves another 120 ft to his final destination.
Also, Lisa's final position forms a triangle with sides 120 ft and 100 ft respectively with an angle of 180 - 32 = 148 between them. Since the angle between the 120 ft direction west and 100 ft direction south of west is 45, since Lisa turns 32 after moving for 120 ft and then moves another 100 ft to her final destination.
Using the cosine rule,
a² = b² + c² - 2abcosФ, we find the length of the third side of each triangle which is their distance from the starting point.
So, for Jon
a² = b² + c² - 2abcosФ where b = 100 ft, c = 120 ft and Ф = 135°
Thus,
a² = (100 ft)² + (120 ft)² - 2(100 ft)(120 ft)cos135°
a² = 10000 ft² + 14400 ft² - 24000 ft²cos135°
a² = 10000 ft² + 14400 ft² - 24000 ft²(-0.7071)
a² = 24400 ft² + 16970.56 ft²
a² = 41370.56 ft²
a = √(41370.56 ft²)
a = 203.4 ft
for Lisa
a'² = b'² + c'² - 2a'b'cosФ' where b = 120 ft, c = 100 ft and Ф = 148°
Thus,
a'² = (120 ft)² + (100 ft)² - 2(120 ft)(100 ft)cos148°
a'² = 14400 ft² + 10000 ft² - 24000 ft²cos148°
a'² = 14400 ft² + 10000 ft² - 24000 ft²(-0.8481)
a'² = 24400 ft² + 20353.15 ft²
a'² = 44753.15 ft²
a' = √(44753.15 ft²)
a' = 211.56 ft
a' ≅ 211.6 ft
Since a = 203.4 ft < a' = 211.6 ft,
Jon's hiding spot is closer to the starting point.
Which graph can be used to find the solution(s) to x2 – 1 = 3?
Answers
We are given an inequality we can equate this equality to a new variable 'y' such that:x2 -1 =3=y
i.e. we get a system of equations as:y=x2-1
and y=3
Hence, the solution will be the x-value of the point of intersection of the system of equations.
The point of intersection are:
(-2,3) and (2,3).
Hence, the solution of the equation is:
x=2 and x= -2.
Hence, the solution of the equation is:
x=2 and x= -2.
Answer: D
Step-by-step explanation:
right on edge
There are 12 doughnuts in each box. Write a two-variable equation for the total number of doughnuts d that are in b boxes. Start the equation with d=
Answers
When a bakery opened this morning, the ratio of the number of pineapple muffins to the number of mango muffins was 3 : 2. After 244 pineapple muffins were sold, the ratio of the number of pineapple muffins to the number of mango muffins changed to 3 : 5. How many pineapple muffins were there when the bakery opened this morning?
Answers
Answer:
(x+244)/y=3/2
x/y=3/5
y=5x/3
(x+244)/(x5/3)=3/2
x+244=3/2 . 5x/3
x+244=15x/6
6(x+244)=15x
6x+1464=15x
1464=15x-6x
1464=9x
x=1464/9
x≈ 162
mm=162*5/3=270
162:270 = 3:5
pm before = 270*3/2=405
405:270 = 3:2
Probability of impossible event is ………… [. ]
a) 0 b) 100% c) 1 d) both b & C
Answers
Answer:
0
Step-by-step explanation:
The table shows the proportional relationship between the number of computers
a company sold, x, and the profit that the company made, y. The profit, y, can be
written in terms of x, the number of computers sold: y = What expression
completes the equation?
Profit on Sales
Number of Computers Sold
Profit (dollars)
3
450
7
1050
11
1650
15
2250
Answers
Answer:
y = 150x
Step-by-step explanation:
There is a proportional relationship between number of computers sold (x) and profit generated (y)
y ∝ x
y = kx
Here, k = proportionality constant
From the table given,
At y = 450 and x = 3,
450 = k(3)
k = 150
Therefore, expression that represents the proportional relationship will be,
y = 150x
What is the answer? I will give brainliest if you are correct and no links or you will be reported
Answers
Answer: what is selected right now is correct.
Step-by-step explanation:
Answer:
The blue shaded section of the circle represents one sixth of the circle's area.
Plzz I asked this three times! The Functions r and s are defined as follows.
r(x)=-2x+2
s(x)=x^2+2
Find the value of s(r(2)).
Answers
Answer:
s(r(2)) = 6
Step-by-step explanation:
You would first solve for r(2). You then input r(2) which equals -2 into s(r(2)).
r(x)= -2x + 2
r(2)= -2(2) + 2
r(2)= -4 +2
r(2)= -2
s(x)=x² + 2
s(r(2)) = (-2)² +2
s(r(2)) = 6
Omar buys 4 birthday cards for $2
each. What operation should he use
to calculate the total cost? Explain.
Answers
Answer:
Step-by-step explanation:
He should use 4 times $2
4*$2=$8
answer asap no wrong answers pls
Answers
Answer:
X=6
B=126
Step-by-step explanation:
8x+78°=2x+114°
8x-2x=114-78
6x=36
x=6
B=2(6)+114
B=12+114
B=126°
Note angle A and B are alternate angles and thus are equal
Answer:
since X=6 ,
2×6+114= 126 .
You have a triangle with one 70 degree angle and one 40 degree angle. What is the measure of the other angle? A) 40 degrees B) 70 degrees C) 60 degrees D) 180 degrees
Answers
Answer:
B) 70 degrees
Step-by-step explanation:
The sum of angles in a triangle = 180 degrees
We are given 2 angles in the triangle = 70° and 40°
The measure of the third angle is
180° = 70° + 40° + 3rd Angle
3rd Angle = 180° - ( 70° + 40°)
= 180° - 110°
= 70°
The measure of the other angle is 70°
Option B is the correct option.
Determine the distance between (−3,1)and (5,−6)
Round your answer to the nearest tenth. Show all of your work.
Answers
Answer:
10.6 units
Step-by-step explanation:
distance formula
= √((x2-x1)²+(y2-y1)²)
= √((5+3)²+(-6-1)²
= √(8²+(-7)²)
= √ (64+49)
= √113
= 10.6
7. Joey wants to find the area of the parallelogram below.
3.6 cm
3 cm
6 cm
Which equation can be used to find the area of the parallelogram?
A. 6(3.6) = 21.6 cm2
B. 2(3.6) + 2(6) = 19.2 cm2
C. 6(3) = 18 cm2
D. 6(3 + 3.6) = 39.6 cm2
Answers
Answer:
I'm not sure but I think it is b
Simplify fully4xy/12x2y
Answers
Answer:
1/3x
Step-by-step explanation:
for 4xy/12x^2y we need to simply one of the x's and the y's and divide both parts by 4
so we get:
1/3x
Students performed a stair-climbing experiment to investigate the power output of the human body. Each student climbed the stairs in a sports stadium to different heights while another student used a stopwatch to time the climb. The body mass, time, and vertical height reached by four students is given in the table. (Estimate g as 10 m/s2.)Which two students generated the same amount of power?
Student mass(kg) Time Vertical Height(m)
Hiro 54 10 6.0
Brenda 54 15 9.0
Carmine 68 11 6.0
Brady 68 17 9.0
A. Brady
B. Brenda
C. Carmine
D. Hiro
Answers
Answer:
hiro and brenda
Step-by-step explanation:
Write and solve an equation to find the value of x and a missing angle in the triangle below.
Answers
Answer:
x = 27°, ∠JLK = 55°
Step-by-step explanation:
From the diagram in the question above,
The exterior angle of a triangle is equal to the sum of the two opposite side
3x+13 = 39+(2x+1)
3x+13 = 40+2x
collect like terms and solve for x
3x-2x = 40-13
x = 27°.
∠JKL = 2x+1
Substitute the value of x
∠JKL = 2(27)+1
∠JKL = 54+1
∠JKL = 55°
An owl swoops down when it sees prey. In this scenario, what is the stimulus and what is the response??? PLS ANSWER IF U KNOW IT!
Answers
Answer:
Owl Response
Prey Stimulus
Step-by-step explanation:
The owl responds to the environement with the prey
how many different teams of 11 players can be chosen from a soccer team of 15?
Answers
Answer:
1,365
Step-by-step explanation:
Answer:
There can be 1365 different ways of choosing 11 players from a squad of 15. This means there can be 1365 eleven-member teams formed with 15 players.
PLEASE HELP QUICK WILL MARK BRANLIEST
Answers
Answer:
A, C, and B. In that order
what is the slope of a line perpendicular to the line whose equation is y=-2x+4. fully simply your answer
Answers
Answer:
1/2
Step-by-step explanation:
You should inverse the slope and multiply by -1
how long will it take you to ski a distance of 25 miles at a speed of 2.5 miles per 30 minutes
Answers
Answer:
62 .5 minutes or 1 hr, 2 min, and 24 sec.
Step-by-step explanation:
Answer:
300 mins or 5 hours
Step-by-step explanation:
ok so 25 divided by 2.5 equals 10
10 times 30 equals 300min
300 divided by 60 because thats one hour s which equals 5 hours
Explain how to use the standard normal table to find the probability associated with the shaded area under the curve
Answers
Answer:
to find the area to the right positive z-score begin by reading off the area in the standard mormal distribution table, since the total area under the bell curve is 1 we subtract the area from the table from 1. for example the area to the left of z=1.02 is given in the table as 0.846
Step-by-step explanation:
right answer
There are 486 hamsters at a private showing of a new documentary about humans. If there are 12 seats in each row, about how many rows will the hamsters fill? Choose the best estimate.
A. 20
B.4
C.40
D.60
Answers
Answer:
C, 40
Step-by-step explanation:
If there are 12 seats in each row, and 486 hamsters total, then we can safely assume one hamster takes up one seat.
To find out how many rows they can take, we need to divide the number of hamsters by the number of seats to get 486 / 12 approximately equals 40.
Answer:
C.
Step-by-step explanation:
Take the first two numbers of 486.
How many times does 12 fit into 48?
4 times.
Since all of the estimations do not have any form of individual single digits (as they do normally), we would dismiss the 6 and use its place just as a '0.'
40.
Hope this helped!
Find the area for this problem
Answers
Answer:
63 for the whole figure, for the different shaded regions it goes as follows, 17.5 for the white area and 45.5 for the grey area
Step-by-step explanation:
Can anyone help me with this math equation?
Answers
Answer:
yes I can help you. the answer to the problem is 4/35.
Step-by-step explanation:
1. convert any mixed number into fractions.
your equation becomes 4/7÷5/1. this equals 4×1 over 7×5. multiply normally and your result is 4/35
please help me this is due today
show ur work
Answers
Answer:
3+(-5)-7+6=3-5-7+6=-3
You like to watch movies at the local theater. You have two payment options. Your first option is to buy a discount card which will cost you $160, and then $20 for m movies, 20m + 160. Your second option will cost you $100, and then pay $40 for m movies, 40m + 100. After how many movies will the total costs of the two options be the same?
Answers
You like to watch movies at the local theater. You have two payment options. Your first option is to buy a discount card which will cost you $160, and then $20 for m movies, 20m + 160. Your second option will cost you $100, and then pay $40 for m movies, 40m + 100. After how many movies will the total costs of the two options be the same?
the answers is 3
Which expressions have a value of 15 when s=15? A: s/3+10 B: 15,521÷s C: (3,015÷s)-186 D: 20s^2÷30 E: 2s^2/5-25
Answers
Answer:
C. (3,015÷s)-186
Step-by-step explanation:
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