Answers
Answer:
[tex] A(\triangle ABC) = 7.2\: units^2 [/tex]
Step-by-step explanation:
C = (0, 7)
Since, point A lies in y-axis, so it's x coordinate will be zero. Line y = 2x + 1 passes through point A.
Therefore, plug x = 0 in y = 2x +1, we find:
y = 2*0 + 1 = 0 + 1 = 1
Hence, coordinates of point A are (0, 1).
Now, by distance formula:
[tex] AC= \sqrt{(0-0)^2 +(7-1)^2} [/tex]
[tex] AC= \sqrt{(0)^2 +(6)^2 }[/tex]
[tex] AC= \sqrt{0 +36 }[/tex]
[tex] AC= \sqrt{36 }[/tex]
[tex] AC= 6\: units[/tex]
Length of perpendicular CB dropped from point C (0, 7) to line y = 2x + 1 or 2x - y + 1 = 0 can be obtained as given below:
[tex] CB =\frac{|2\times 0+(-1)\times 7+1|}{\sqrt {2^2 +(-1)^2} } [/tex]
[tex] CB =\frac{|0-7+1|}{\sqrt {4 +1} } [/tex]
[tex] CB =\frac{|-6|}{\sqrt {5} } [/tex]
[tex] CB =\frac{6}{2.24} [/tex]
[tex] CB =2.68\: units [/tex]
By Pythagoras Theorem:
[tex] AB=\sqrt{AC^2 - CB^2} [/tex]
[tex] AB=\sqrt{6^2 - (2.68)^2} [/tex]
[tex] AB=\sqrt{36 - 7.18} [/tex]
[tex] AB=\sqrt{28.82} [/tex]
[tex] AB=5.36842621\: units [/tex]
[tex] AB\approx 5.37\: units [/tex]
[tex] A(\triangle ABC) = \frac{1}{2} \times AB\times CB[/tex]
[tex] A(\triangle ABC) = \frac{1}{2} \times 5.37\times 2.68[/tex]
[tex] A(\triangle ABC) = \frac{1}{2} \times 14.3916[/tex]
[tex] A(\triangle ABC) = 7.1958[/tex]
[tex] A(\triangle ABC) = 7.2\: units^2 [/tex]
Hope it be correct.
Related Questions
A flagpole is 35 feet tall. A girl standing nearby who is 4 feet tall casts a shadow that
is 3 feet long. How long is the shadow of the flagpole (at the same time) to the
nearest foot?
Answers
Answer:
26 ft. = the length of the flagpole's shadow to the nearest foot
Step-by-step explanation:
Let f = the length of the flagpole's shadow
girl's height/flagpole's height = girl's shadow length/flagpole's shadow length
4/35 = 3/f
4f = 105
f = 26.25 ft. ≅ 26 ft = the length of the flagpole's shadow to the nearest foot.
simplify Cos(a+b) +Cos(a+b)
Answers
θ
is real, cos()=Re()
cos
(
θ
)
=
R
e
(
e
i
θ
)
. So, with
A
and
B
real,
(+)+(−)=(+−)=2cos()
e
i
(
A
+
B
)
+
e
i
(
A
−
B
)
=
e
i
A
(
e
i
B
+
e
−
i
B
)
=
2
e
i
A
cos
(
B
)
Finally,
cos(+)+cos(−)=Re((+)+(−))=Re(2cos())
cos
(
A
+
B
)
+
cos
(
A
−
B
)
=
R
e
(
e
i
(
A
+
B
)
+
e
i
(
A
−
B
)
)
=
R
e
(
2
e
i
A
cos
(
B
)
)
=2cos()cos()
A city has a population of 2,000 if 1,500 residents speak Spanish what percent of the population is Spanish speaking
Answers
Answer:
75%
Step-by-step explanation:
Find the ratio 1500 to 2000; it is 0.75.
75% of the population is Spanish speaking.
Answer:
75%
Step-by-step explanation:
1500 ÷ 200 = 0.75
PLS PLS PLS I NEED HELP WITH MATH!!!! GAVE OFF ALL MY POINTS FOR THIS PLEASE GIVE A GOOD ANSWER!!!!!
1. a closed figure made up of line segments
2. any face that is not a base
3. three-dimensional figure with a polygon base and triangles for all other faces
4. three-dimensional figure with two parallel, congruent, polygonal faces and parallelograms for all other faces
5. the perpendicular width of a plane figure
6. a two-dimensional representation of a three-dimensional shape when unfolded
7. a plane figure that is one side of a solid figure
8. a prism with a rectangular base and right angles between the base and sides
9. geometric figure with three dimensions
10. a prism with a triangular base and right angles between the base and sides
Answers
hi! im chimken and i have your answers!!!
1. polygon: is a closed figure where the sides are all line segments.
2. lateral face: a side of three-dimensional figure that is not a base.
3. pyramid: a solid figure that has a polygon for a base and triangles for sides. it is named for the shape of its base.
4. polyhedron: formed by two parallel, congruent, polygonal bases connected by lateral faces that are parallelograms.
5. i don't know this one :(
6. a net: a two dimensional representation of a three-dimensional figure that is unfolded along it's edges so that each face of the figure is shown in two dimensions.
7. face: is a plane figure that serves as one side of a solid figure.
8. i don't know this one :(
9. there are 4 possible answers. rectangular prism, sphere, cone, cylinder: 3D geometric shapes with the basic three-dimensional shapes.
10. triangular prism: with a known base and height of its face.
i hope this helped!!!
braise bingus!
solve this linear equation with HOW you did it please.
9k-5k=-32
Answers
k = -8
Explanation:
9k - 5k = -32
4k = -32
k = -8
Help me! Another question on khan.
Answers
Answer:
what are you trying to find the slope?
Step-by-step explanation:
Answer:
calculando la circunferencia
Which situation is best described by this number line?
Answers
Answer:
B? I think itts B
Step-by-step explanation:
The following data show the scores Gina obtained on 12 IQ tests:
93, 83, 74, 74, 83, 92, 93, 94, 90, 87, 83, 86
The box plot below represents these data:
74
76
78
80
82
84
86
88
90
92
94
96
98
Which of the following is shown incorrectly in the box plot? (5 points)
Оа
Median
Ob
Lower quartile
ос
Upper quartile
Od
Maximum value
Answers
Answer:
Median
Step-by-step explanation:
74,83,87,90,92,93,94
Add them together then divide by how many are there to get the median. Then check the data.
A leisure aircraft is owned by the Broadland Flying Group which has 10 members. The costs of keeping the aircraft comprise maintenance costs (including insurance) and the running cost which is mainly fuel. Average fuel consumption is 9 miles per gallon. If the 10 members of the Group are to share costs equally, write down a formula to enable Gordon the treasurer to calculate the annual cost for each member if the aircraft travels n miles in a year, incurs maintenance costs of £M and fuel costs £3 a gallon.
Answers
Answer:
£(M + n/3) / 10
Step-by-step explanation:
Given that :
Number of members = 10
Fuel consumption = 9 miles per gallon
Consumption for n miles = n/9 GALLONS
Cost of fuel = n/ 9 * £3 = 3n / 9 = £n / 3
Maintainace cost = £M
Annual cost per member :
£(M + n/3) / 10
E
C
5
4
9
B
D
C
Solve for x
Answers
Que se debe hacer es una pregunta???
PLEASE HELP ME WITH THIS FOR BRAINLIEST
Answers
simplify: 4 (3y +x) please show your work
Answers
Answer:
12y+4x
Step-by-step explanation:
Multiply 4*3y and 4*x
Distributive property
marianne is a five years younger than her friends if the sum of their age is 61 how old is her friend
Answers
Step-by-step explanation:
let marianne friend age be x and
marianne age be x - 5
if the sum of their age is 61 I.e
x + (x- 5) = 61
x + x - 5 = 61
2x =61 +5
2x = 66
divide both sides by 2
x = 33
so marianne friend age is 33 and
and marrianne age is 33-5 = 28.
Item 14 Write an equation of the line passing through the point (4, 3) that is perpendicular to the line 4x−7y=9
Answers
Answer:
Step-by-step explanation:
-7y = -4x + 9
7y = 4x - 9
y = 4/7x - 9/7
perp. -7/4
y - 3 = -7/4(x - 4)
y - 3 = -7/4x + 7
y = -7/4x + 10
A 30 ft water slide forms a 45 degree angle with their surface of the water. How high is the top of the slide bouncer nearest whole number
Answers
Answer:
21ft
Step-by-step explanation:
sin(45°)=height/30
height=30sin(45°)
h=30×√2/2=15√2≈21.213(21ft to the nearest whole)
The height should be 21 ft.
Given that,
A 30 ft water slide forms a 45 degree angle with their surface of the water.Based on the above information, the calculation is as follows:
[tex]sin(45^{\circ})=height\div 30\\\\height =30sin(45^{\circ})\\=30\times \sqrt 2\div 2\\\\=15\sqrt 2[/tex]
≈21.213
= 21 ft
Learn more: brainly.com/question/17429689
Taylor is decorating for a party. She cuts 5 equal-length streamers from a strip of yellow paper that is 9 feet long.?
Answers
Answer: 1 4/5 feet
Step-by-step explanation:
Here's the complete question:
Taylor is decorating for a party. She cuts 5 equal-length streamers from a strip of yellow paper that is 9 feet long. How long is each streamer in fraction form?
The length of each streamer will be gotten by dividing the length of the strip of yellow paper by the number of streamers. This will be:
= 9 feet / 5
= 1 4/5 feet
Therefore, the length of each streamer is 1 4/5 feet.
POSSIBLE POINTS 10
Using the following set of data, find the upper quartile.
17, 29, 32, 9, 30, 14, 8, 39, 11, 32, 23
Answers
Answer:
Minimum: 8 Q1: 14 Median: 17.5 Q3: 30 Maximum: 32
Step-by-step explanation:
8, 9, 11, 14, 17, 23, 29,30, 32, 32
If the cos 90° = 0, then the sin 0° = _____.
pls help
Answers
Answer:
I think its 0
Step-by-step explanation:
Answer:
This one too clicked by me
Ed spoke to his cousin in Australia, who told him it was 28 degrees Celsius that day. Ed wasn’t sure if that was hot or cold, so he converted the temperature to degrees Fahrenheit. What is the temperature in degrees Fahrenheit?
Use the formula, F = StartFraction 9 Over 5 EndFraction C + 32, where F is the number of degrees in Fahrenheit and C is the number of degrees in Celsius. Round your answer to the nearest whole number.
48Degrees Fahrenheit
50Degrees Fahrenheit
82Degrees Fahrenheit
108Degrees Fahrenheit
Answers
Answer:
82
Step-by-step explanation:
Do the equation
Answer:
82.4 degrees Fahrenheit. one degree Celsius is 33.8 degrees Fahrenheit. hope this helps mark me brainliest!!
Step-by-step explanation:
Write the equation of the line that passes through the points (-4,8) and (-2, -1).
Put your answěr in fully reduced point-slope form, unless it is a vertical or horizontal
line.PLEASEEE HELPPP MEE I’ll give you BRAINLEST
Answers
Step-by-step explanation:
find the slope
-1 - 8/ -2 - -4 = -9/2
y - -1 = -9/2(x - -2)
y +1 = -9/2(x+2)
y = -9/2x -10
Answer:
y=-9/2x-10
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-1-8)/(-2-(-4))
m=-9/(-2+4)
m=-9/2
y-y1=m(x-x1)
y-8=-9/2(x-(-4))
y-8=-9/2(x+4)
y=-9/2x-36/2+8
y=-9/2x-18+8
y=-9/2x-10
Find slope. I NEEDDDD HELPPPPP IMA MARK BRAINLIESTTT
Answers
hope this helps :)
Answer:
-1/3
Step-by-step explanation:
PLZ HELP ITS DUEEE RNNNNN!!!!
Answers
Answer:
left: all three attributescenter: not a rectangleright: not a rectangleStep-by-step explanation:
Some relevant characteristics of different quadrilaterals are ...
trapezoid: one pair of parallel sidesparallelogram: opposite angles are congruent, diagonals bisect each otherrectangle: a parallelogram; and all angles are congruent, diagonals are the same length__
a.There are two angles marked as right angles, and the remaining two angles are marked as congruent. The sum of angles in a quadrilateral is 360°, and each right angle is 90°. The only way the remaining angles can be congruent is for them to be (360° -180°)/2 = 90° each. That is, all of the angles in this figure must be congruent. It is ...
quadrilateralparallelogramrectangle__
b.Opposite angles are marked congruent. There is nothing to indicate any angle is a right angle. The figure is ...
quadrilateralparallelogram__
c.The diagonals are marked as bisecting each other. There is nothing to indicate the diagonals are the same length, or that any angle is a right angle. The figure is ...
quadrilateralparallelogramStephen won tickets playing the pool game at the local arcade. The first time, he won 90 tickets. The second time, he won a bonus, which was 5 times the number of tickets of the original second prize. Altogether he won 300 tickets. How many tickets was the original second prize?
Answers
Answer:
42 tickets
Step-by-step explanation:
First winning = 90 tickets
Bonus won = 5 times the number of tickets of the original second prize
Total tickets won = 300
That is ;
First winning + bonus = 300 tickets
Let :
Number Tickets won by original second price = x
Bonus = 5x
Then;
90 + 5x = 300
5x = 300 - 90
5x = 210
x = 210 / 5
x = 42
Write an equation of the line that passes through the points (0, −2) and (3, −5) .
Answers
Answer:
i might be wrong but i think it is
Step-by-step explanation:
y
=
−
x
−
2
y=-x-2
2/7 of the person at a concert are children 1/4 and men and the rest women what fraction are women
Answers
Answer:
15/28 are women
Step-by-step explanation:
2/7 + 1/4 + x = 100%
2/7+1/4= 15/28
9514 1404 393
Answer:
13/28
Step-by-step explanation:
The fraction that are women is found by subtracting the given fractions from 1.
1 - 2/7 - 1/4 = 28/28 -8/28 -7/28 = (28 -8 -7)/28 = 13/28
The fraction that are women is 13/28.
PLEASE HELP WILL GIVE BRAINLIEST
15-10 dividid by 5 times 2^2 in the correct order
Answers
Answer:
12 1/2
Step-by-step explanation:
Answer:
your answer is 4x
Step-by-step explanation:
15-10 is 5
5 divided by 5 is 1
1 times 2 greater than 2 is 4
4x is your answer
Have a good day
sorry but the last answer is a bit glitched out
Answers
Answer:
Because of the options you have, I believe it is GJ
Step-by-step explanation:
Hope that helps!
Which statements regarding the diagram are correct? Check all that apply. ST ≅ ST by the reflexive property. ∠RWS ≅ ∠UWT because they are vertical angles. △RWS ≅ △UWT by AAS. △RST ≅ △UST by SAS. ∠WTU ≅ ∠WSR because CPCTC.
ANSWER: ST ≅ ST by the reflexive property.
∠RWS ≅ ∠UWT because they are vertical angles.
△RWS ≅ △UWT by AAS.
∠WTU ≅ ∠WSR because CPCTC.
Answers
Answer:
A., B., C., and E.
Step-by-step explanation:
edge 2021
The correct statements regarding the diagram include all the statements except: △RWS ≅ △UWT by AAS.
Given the image attached below, let's analyze each of the options given to determine whether they are correct or not.
Statement 1 is correct because based on reflexive property, ST in ΔRST is congruent to ST in ΔUTS.
Statement 2 is also correct because ∠RWS is vertically opposite to ∠UWT, so they are vertical angles.
Statement 3 is also correct because ΔRWS and ΔUWT have two pairs of congruent angles (∠SRW ≅ ∠TUW and ∠RWS ≅ ∠UWT) and one pair of non-included congruent sides (SR ≅ TU).
Statement 4 is incorrect because ΔRST and ΔUST do not have a pair of included congruent angles to meet the SAS Congruence Criterion.
Statement 5 is correct because since ΔRWS ≅ ΔUWT, ∠WTU ≅ ∠WSR based on the CPCTC theorem.
Therefore, the correct statements regarding the diagram include all the statements except: △RWS ≅ △UWT by AAS.Learn more about congruence theorem on:
https://brainly.com/question/2102943
A cylinder has radius 3.8 meters. Its volume is 159 cubic meters. Find its
height to the nearest tenth of a meter.
Answers
Answer:
Step-by-step explanation:
John's high score on the Asteroid Game was 984. Mikes high score was 1,112. Rebecca just played the game and her high score was halfway between John's and Mikes. What was Rebecca's score?
Answers
Add the two numbers up:
984 + 1112 = 2096
And then divide by 2:
2096/2 = 1048
