PLEASE HELP
The front of a sculpture is symmetric about the y-axis. Point A is located at (−3, 0), and AC is the longest side of △ ABC. The perimeter of △ABC is 16. What is the value of a?
Answers
Answer:
1124
Step-by-step explanation:
1323
The area of the triangle △ABC is 12 square units.
The question is incomplete. The actual question is
Triangle ABC is symmetric about the y-axis. Point A is located at (-3,0), and AB is the longest side of ABC. If the perimeter of ABC is 16, what is the area?
What is symmetry?Symmetrical forms or figures are things that can have a line drawn through them so that the representations on both sides of the line mirror each other.
How to solve the problem?As could be seen in the figure the triangle △ABC is symmetric along the y-axis. Hence, the side AC and BC must be of the same length let us call it 'a'. Also, the coordinate of B must be (3,0) because (3,0) is the reflection of (-3,0) corresponding to the y-axis.
And, the length of AB=6 units because the distance between (-3,0) and (3,0) is 6 units.
Now, the perimeter of the triangle is 16 units. Therefore,
2a+6=16
⇒a=(16-6)/2
⇒a=5 units.
Hence, we have an isosceles triangle △ABC we can find the height 'h' of the triangle using the Pythagoras theorem. Consider the triangle △ACE
then we have that
the height of the right triangle △ACE= h
the base of the right triangle △ACE= 3 units
the hypotenuse of the right triangle △ACE= a = 5 units.
Hence, by Pythagoras' theorem
h²+3²=5²
⇒h²=25-9=16
⇒h=4 (we choose the positive value of h because length is always positive)
Hence, the area of the triangle △ABC is
(1/2)×base×height
=(1/2)×AB×CE
=(1/2)×6×4 unit²
=12 unit²
Hence, the area of the triangle △ABC is 12 square units.
Learn more about the isosceles triangles in- brainly.com/question/2456591
#SPJ2
Related Questions
2. Each of the bracelets that Veronica made has 45 beeds. Shemede 4 bracelets.
How many total beads did she use?
Answers
Answer:
180 total beads used
Step-by-step explanation:
=) have a good day
BE CAREFUL
If someone ever tell y'all to click that link they are lying to you, you will be hcked
Pass the message
Answers
Answer:
Yes links are not good
Step-by-step explanation:
Choose the expression that is NOT equivalent to the following expression:
45y + 99
5(9y + 19.8)
9(5y + 11)
2(22.5y + 49.5)
4(11y + 22)
Answers
Answer:
4(11y +22)
Step-by-step explanation:
5(9y+19.8) =45y+99
9(5y+11)=45y+99
2(22.5y+49.5)=45y+99
4(11y+22)=44y+88
you must expand the numbers to get the total
for example you multiply 5×9y and 5×19.8 in a
Which of the following sets of ordered pairs represents a function?
O (-5, 10), (0.15), (5, 10)
O (3.5),(3.9),(4,2)
O (9.6).(6.3). (9.3)
O (0.6), (12.10), (0.-6)
Answers
If each quadrilateral below is a trapezoid, find the missing measures.
#1
Answers
Answer:
C = 101
E = 46
Step-by-step explanation:
79 + 134 = 213
180 - 79 = 101 (C+F has to equal 180)
79 + 134 + 101 = 314
360 - 314 = 49 (trapezoids have a total degree of 360)
The measure of angles are ∠C = 101°, ∠E = 46°, ∠J = 83°, ∠L =97°, and ∠M = 97°.
It is given in the picture that measures the angles of a trapezoid.
It is required to find the other angles.
What is a trapezoid?It is defined as the quadrilateral having four sides in which two sides are parallel to each other it is a 2-dimensional geometry.
We have a trapezoid CDEF in which ∠D = 134° and ∠CFE = 79°
We know in trapezoid:
∠C+∠F = 180° and
∠D+∠E = 180°
For ∠C = 180° - ∠F ⇒ 180° - 79° ⇒ 101°
For ∠E = 180° - ∠E ⇒ 180° - 134° ⇒46°
We have another trapezoid JKLM in which ∠K = 83°
We know in isosceles trpezoid:
∠K = ∠J = 83° and
∠L = ∠M
∠L = 180° - ∠K ⇒ 180° - 83° ⇒ 97° ⇒ ∠M
Thus, the measure of angles are ∠C = 101°, ∠E = 46°, ∠J = 83°, ∠L =97°, and ∠M = 97°.
Learn more about the trapezoid here:
https://brainly.com/question/8643562
What kind of triangle is this? (ASA, SAS, HL, AAS, SSS)
Answers
Answer:
SAS
Step-by-step explanation:
Find the area. Answer ASAP pls pls
Answers
Answer:
This is your answer ☺️
The radius of a cylindrical gift box is (3x+1) inches. The height of the gift box is twice the radius. What is the surface area of the cylinder? Write your answer as a polynomial in standard form.
Answers
Answer:
56πx² + 36πx + 6π square inches
Step-by-step explanation:
The radius of a cylindrical gift box is (3x+1) inches. The height of the gift box is twice the radius. What is the surface area of the cylinder? Write your answer as a polynomial in standard form.
The surface area of a cylinder is given as:
2πr(r + h)
The radius of a cylindrical gift box is (3x+1) inches.
The height of the gift box is twice the radius = 2(3x + 1) inches
= 6x + 2 inches
The surface area of the cylinder is:
= 2 × π × 3x + 1( 3x + 1 + 6x + 2) square inches
= 2 × π × 3x + 1(9x + 3) square inches
= 2π × 3x + 1(9x + 3) square inches
= 6πx + 2π( 9x + 3) square inches
= 6πx (9x + 3) + 2π( 9x + 3) square inches
= 56πx² + 18πx + 18πx + 6π square inches
= 56πx² + 36πx + 6π square inches
The surface area of the cylinder is 56πx² + 36πx + 6π square inches
Find the slope of the line that contains the points:
(-4,3) and (4,9)
Answers
9-3 = 6
4 - (-4) = 8
Simplify to get 3/4
Which expression is equivalent to (5^2) ^4 • 5^5
A) 5^11
B) 5^13 C)5^30
D) 5^40
Answers
Answer:
B
Step-by-step explanation:
(5^2) ^4 • 5^5 = 1220703125
5^13 = 1220703125
can someone please help I need it right now!!
Answers
Answer:
y=9x
Step-by-step explanation:
First let's find the slope of this.
To find the slop we can take two points.
(1,9) & (3,27)
27-9/ 3-1 (slope equation) = 18/2=9
The slope of the equation is 9.
Now let's use point-slope form to find the equation.
(1,9)
y-9=m(x-1) (substitute the x2 and y2 values for the coordinate values)
y-9=9(x-1) (substitute m for the slope)
y=9x-9+9
y=9x
H help xxjvfgfhgjjjjjjjjjj
Answers
find the slope of the line that passes through the coordinates (3,-6) and (-9,2)
Answers
9514 1404 393
Answer:
-2/3
Step-by-step explanation:
The slope formula is useful for this.
m = (y2 -y1)/(x2 -x1)
m = (2 -(-6))/(-9 -3) = 8/-12
m = -2/3
The slope of the line is -2/3.
__
The graph shows the two points and a line with a slope of -2/3.
5
If x = 4, what is the value of x(14 - x)?
OA
40
OB
44
16
Math
Answers
Answer:
when x=4
the value of x(14 - x)=4(14-4)=4×10=40
Please help me!! Thanks in advance!
Answers
Answer:
1) 12m
2)15.2ft
3) 22km
4) 10ft
5) 4.4in
6) 12km
7) 10cm
8) 2cm
9) 56.55cm
10) 43.98ft
11) 71.63km
12) 23.88cm
13) 138.23yards
14) 100.53ft
15) 50.27yd²
16) 95.03in²
17) 52.81ft²
18) 153.94mi²
19) 162.86mi²
20)452.39ft²
Step-by-step explanation:
Step-by-step explanation:
To find the diameter of a circle, you multiply the radius (the radius is the distance from the outside of the circle to the middle) by 2.
Ex: the first one has 6m as the radius. So you would multiply the 6 by 2. Which would be 12.
The radius is half of the diameter. So for number 8, the answer would be 2.
hope this helps and that it wasn't to confusing :)
find y for -4 + 3y = 8 please help asap
Answers
Answer:
y = 4
Step-by-step explanation:
First isolate y
-4 + 3y = 8
3y = 8 + 4
3y = 12
y = 4
Answer:
Y=4
Step-by-step explanation:
3y=12
y=4
Can someone help me. Will Mark brainliest.
Answers
I really need help Please
Answers
Answer:
43
Step-by-step explanation:
180 - (109+28) = 43
the sum of all angles in a triangle is 180
Find the discriminant when a= 3, b= -1, and c= -8
Answers
b^2-4ac
(-1)^2 - 4(3)(-8)
1 + 96
97 final answer
Answer:
sorry i'like to help ypu but i dont know the answer
ill mark brainist plss help
Answers
Answer:
3.3 cm
Step-by-step explanation:
262/80 = 3.275 ≈ 3.3
The office lunchroom is open Monday through Thursday. On Monday, 314 people ate lunch there. On Tuesday and Wednesday, 265 people ate lunch in the lunchroom. All 520 employees ate lunch there on Thursday. How many more people ate in the lunchroom on Thursday than on Monday?
Answers
Answer:
There were 206 more people on Thursday than on Monday.
Step-by-step explanation:
520 - 314 = 206
Math help please answer question a and b ( show work please)
Answers
Answer:
a) 24 degrees
b) 50 degrees
Step-by-step explanation:
part a : use sine-1
sine-1 = [tex]\frac{opposite}{hypotenuse}[/tex]
sine-1 = [tex]\frac{17}{42}[/tex]
sine-1 = 0.405
missing angle = 23.89
round to the nearest degree = 23.89 = 24
part b : use cosine-1
cos-1 = [tex]\frac{adjacent}{hypotenuse}[/tex]
cos-1 = [tex]\frac{16}{25}[/tex]
cos-1 = 0.64
missing angle = 50.208
round to the nearest degree = 50.208 = 50
Solve the equation: 4(x-2)=12
Answers
Answer:
x = 5
Step-by-step explanation:
Given
4(x - 2) = 12 ( divide both sides by 4 )
x - 2 = 3 ( add 2 to both sides )
x = 5
If your roll a six sided die what is the probability of getting a 2 or a 6
(A) 1/3
(B) 1/4
(C) 1/6
(D) 2/3
Answers
Answer:
(A)1/3
Step-by-step explanation:
probability of getting a 2 = 1/6
probability of getting a 6 = 1/6
so the probability of getting a 2 or a 6
=(probability of getting a 2+probability of getting a 6)
=(1/6+1/6)
=2*(1/6)
=1/3
helppppppppppppppppppppppppppppppppppppp plz
Answers
Answer:
240 cubic feetStep-by-step explanation:
Volume = length * breadth * height
So
Volume = 6 * 4 * 10
= 240
Hope this helps :)
Answer:
240
Step-by-step explanation:
10 times 4 times 6 equals 240
Write a number or expression in each empty box to create true equations. 7(3+5)= ____+____ What is the smaller value of the two numbers
Answers
Answer:7(3+5)= 21+35
Step-by-step explanation:
Find the value of x. 120
Answers
Answer:
x = 25
Step-by-step explanation:
2x + 70 = 120 {Subtract 70 from both sides}
2x = 120 -70
2x = 50 {divide both sides by 2}
x = 50/2
x = 25
A city has 3 new houses for every 8 old houses. If there are 27 new houses in the city, how many old houses are there?
Answers
Answer:
72 old houses
Step-by-step explanation:
Please help please giving out brainless
Answers
Answer:
C
Step-by-step explanation:
The length of arc AC (L) is calculated as
L = circumference of circle × fraction of circle
= 2πr × [tex]\frac{150}{360}[/tex]
= 2π × 12 × [tex]\frac{5}{12}[/tex]
= 2π × 5
= 10π ≈ 31.42 → C
Q.8) In ΔABC, angle B = 90°, angle A = 60°, angle C = 30°, AC = 17 then AB is.... *
Answers
Answer: AB = 150 degrees
Step-by-step explanation: 90 + 60 = 150