Rectangle
A=bh
Triangle
A=bh/2
Circle
A=πr^2
Parallelogram
A=bh
Rhombus
A=pq/2
Trapezoid
A=((b1+b2)*h)/2
BTW...
b=base
h=height
r=radius
p,q=diagonals of rhombus
Find the altitude of an equilateral triangle whose perimeter is 18
Answer:
3√3 units
Step-by-step explanation:
We are asked to find the altitude of the equilateral triangle whose perimeter is 18 . Firstly let us find the side of the∆.
[tex]\rm \implies a + a + a = 18 \\\\\rm\implies 3a = 18 \\\\\rm\implies a = 6 [/tex]
Now we know that in a equilateral triangle , the altitude of the triangle with side length a is ,
[tex]\rm\implies Altitude =\dfrac{\sqrt3}{2} a [/tex]
Plug in the value of a that is 6 , we will get ,
[tex]\rm\implies Altitude =\dfrac{\sqrt 3}{2} a \\\\\rm\implies Altitude =\dfrac{ \sqrt3}{2}\times 6 \\\\\rm\implies Altitude = \sqrt3 \times 3 \\\\\rm\implies\boxed{ \bf Altitude = 3\sqrt3 \ units }[/tex]
Can someone help me with this math homework please!
Answer:
1 ) - 0.04
2 ) 1
3 ) - 0.04
4 ) Less of 0.04 gallons of fuel for every 1 mile.
How many solutions does the system of equations below have? y = – 2x − 6 y = – 2 x + 3 5 one solution one solution two solutions two solutions infinitely many solutions infinitely many solutions no solution
Answer: No solution
Step-by-step explanation:
Given
Pair of lines are
[tex]\Rightarrow y=-2x-6\ \text{and}\ y=-2x+35[/tex]
For lines [tex]a_1x+b_1y+c_1=0\ \text{and}\ a_2x+b_2y+c_2=0[/tex] will be parallel when
[tex]\Rightarrow \dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}\neq\dfrac{c_1}{c_2}[/tex]
Rewrite the given lines
[tex]y+2x+6=0\ \text{and}\ y+2x-35=0[/tex]
[tex]\Rightarrow \dfrac{2}{2}=\dfrac{1}{1}\neq\dfrac{6}{-35}\\\\\Rightarrow \dfrac{1}{1}=\dfrac{1}{1}\neq\dfrac{6}{-35}[/tex]
Thus, the given lines are parallel. Therefore, there is no solution for the givebn pair of lines.
Factorise x^2+x
^2= squared
Step-by-step explanation:
[tex] {x}^{2} + x = 0 \\ x(x + 1) = 0\\ x = 0 \\ x = - 1[/tex]
is it what ur looking for?
if i wanted to make a 40,000 payment in one year with a 5% annual interest rate, how much should i invest now?
Answer:
38,095.24
Step-by-step explanation:
40,000 = P(1 + 0.05)^1
P = 40,000/1.05
P = 38095.2380952
Instructions: Find the measure of the indicated angle to the nearest
degree.
?
35
19
?
Since this is a right triangle, we can use one of the three main trigonometric functions: sine, cosine, or tangent.
Remember: SOH-CAH-TOA
Looking from the angle, we know the opposite side and the adjacent side. Therefore, we should use the tangent function.
tan(x) = 19 / 35
x = tan^-1(19/35)
x = 28 degrees
Hope this helps!
HELP ASAP ILL GIVE BRAINLIST
Construct the equation of the graph given. Label the intercept and categorize this graph a horizontal or vertical line.
Answer:
Horizontal line
Step-by-step explanation:
uehdjd
Janes but a small clectric car and recorded the distance it waveled. The table below shows the distance waveled (nt during the st 4 seco
Bapsed Time Distance Traveled
(seconds) feet)
1
62
2
125
3
186
243
Which of the following equations represents the relationship between the distance traveled and the clapsed time?
Of=52-5
52-
+=52
52
Answer:
50
Step-by-step explanation:
PLEASEEEE JESUS PLEASE HELP Find an irrational number that is between 4.2 and 4.5.
Explain why it is irrational.
9514 1404 393
Answer:
√20 is not the root of a perfect square
Step-by-step explanation:
4.2^2 = 17.64
4.5^2 = 20.25
The square root of any number between these values that is not a perfect square will be irrational. This includes the roots of the integers 18, 19, or 20.
4.2 < √20 < 4.5
√20 ≈ 4.472135954999579...
_____
Of course, there are an infinite number of possibilities. It is easy enough to check to see if a rational number is a perfect square. (Its square root will have half as many decimal digits.) For example, √18.9225 is 4.35 (rational), but √18.9226 ≈ 4.350011494... is irrational.
Square roots are not the only irrational numbers. Polynomial roots, trig function values, logarithms, exponential functions are only some of the ways that irrational numbers can be specified, along with multiples or other combinations of irrational numbers such as π or e. These will be irrational simply because they cannot be expressed exactly as the ratio of two integers.
find an equation of the line with an x intercept of -2 and a slope of 3
I WILL GIVE BRAINLIEST PLEASE HELP
Answer:
y= 3x -6
Step-by-step explanation:
The equation if a line can be written in the form of y= mx +c, where m is the slope and c is the y- intercept.
Given that the slope is 3, m= 3.
Substitute m= 3 into the equation:
y= 3x +c
To find the value of c, substitute a pair of coordinates into the equation.
Given that it has an x- intercept of -2, the line passes through the point (-2, 0). This is because x- intercept is the point at which the line passes through the x- axis, and this occurs at y= 0.
When x= -2, y= 0,
0= 3(-2) -c
0= -6 -c (expand)
c= -6 (+c on both sides)
Thus, the equation of the line is y= 3x -6.
Which set of numbers does NOT represent the lengths of the sides of a triangle? A.) (7,5,6)
B.) (9,12,19)
C.) (7,18,11)
D.) (6,8,11)
Answer: B and C
Step-by-step explanation:
the triangle inequality theorem states that any 2 sides of a triangle must be greater than the measure of the third side. now with this rule, let's apply it to all options!
option a:
7 + 5 > 6 .. yes!
6+ 7 > 5 .. yes!
5 + 6 > 7 .. yes!
option b:
9 + 12 > 19 .. yes!
12 + 19 > 9 .. no!
19 + 9 > 12 .. no!
option c:
7 + 11 > 18 .. no!
11 + 18 > 7 .. no!
18 + 7 > 11 .. yes!
option d:
6 + 8 > 11 .. yes!
8 + 11 > 6 .. yes!
11 + 6 > 8 .. yes!
i did this topic years ago so please let me know if there are any mistakes! hope this helped, and good luck! ◝(ᵔᵕᵔ)◜
Can someone help me with this math homework please!
Answer:
I believe its (-3,-2)...........
I need help what’s the answer I’m trying to pass?
Answer:
11.925
Step-by-step explanation:
the sum of three consecutive numbers is five times the difference of the middle number and 22. find the numbers.
Answer:
The numbers you're looking for are 54, 55, and 56.
Step-by-step explanation:
x + (x + 1) + (x + 2) = 5 * (x + 1 - 22)
3x + 3 = 5x - 105
3 = 2x - 105
108 = 2x
x = 54
x + 1 = 55
x + 2 = 56
Find the size of the angles marked by letters in the following diagram.
Answer:
x = 52
y = 19
Step-by-step explanation:
The degree measure of a straight line is (180) degrees. One can use this to find the measure of the angle that is adjacent to the angle with a measure of (142) degrees. Form an equation and solve for the unknown,
142 + (unknown angle) = 180
unknown angle = 38
The inscribed angle theorem states that twice the measure of an angle with its vertex of the circumference (outer edge) of a circle is equal to the measure of the surrounding arc. Therefore, one can state the following:
(2)(unknown angle) = (surrounding arc)
(2)(38) = (surrounding arc)
76 = surrounding arc
The central angles theorem states that the measure of an angle whose vertex is the center of the circle is equal to the measure of the surrounding arc. Therefore, one can state the following:
m<O = (surrounding arc)
m<O = 76
The radius is the distance from the center of the circle to the circumference of the circle. All radii in a circle are congrunet. Therefore the triangle with angle (x) and vertex (O) is an isosceles triangle, as two of its sides are radii, and are thus congruent. One property of an isosceles triangle is the base angles theorem. This theorem states that the angles opposite the congruent sides in an isosceles triangle are congruent. Moreover, the sum of angles in any triangle is (180) degrees. Therefore, one can make the following statement:
m<O + x + x = 180
76 + 2x = 180
x = 52
Finally, one can use the property that the sum of angles in any triangle is (180) degrees to make the following statement:
(x + 19) + (x + y) + (38) = 180
52 + 19 + 52 + y + 38 = 180
161 + y = 180
y = 19
x=52°
y=19°
Answer:
Solution given:
<OCA=19°[base angle of isosceles triangle]
Since ∆AOC is similar to ∆ BOC
y=19°[corresponding angle of a similar triangle are equal]
<OAB=<OBA=x[base angle of isosceles triangle]
again
<A+<B=180°[exterior angle of a triangle is equal to the sum of two opposite interior angle]
x+19+x+19=142°
2x=142°-38°
x=104/2
x=52°
Divide ( 9/11) ÷ (3/2)
Answer:
Its your answer ......
hope it will help u
Bryant bought 5 pounds of bananas for $3.45. If Mel bought 7 pounds of
bananas from the same market stand, how much did he pay?
Answer:
Here is your answer..
Hope it helps
At an amusement park, 63 out of 70 tickets sold were discount tickets.
What percentage of the tickets were discount tickets?
Answer:
90%
Step-by-step explanation:
63/70 = 0.9 = 90%
Answer:
63 out of 70
63×10÷70=9
9%
Point A is a representation of which number on the number line?
A
B
D
-2
0
2
4
0 -3
0 1
T ♡rt
If 1 brick and 1/2 a brick together weigh 1 kg, what is the weigh of two whole bricks in kilos
Answer:
4/3 kg
Step-by-step explanation:
Let x represent a half brick, let y represent a 1 brick.
We know that 1 brick and 1/2 brick weigh 1 kg. so we represent this as
[tex]x + y = 1[/tex]
We know that obviously x is half of y. so
[tex]x = \frac{1}{2} y[/tex]
Subsitur this for x.
[tex] \frac{1}{2} y + y = 1[/tex]
[tex] \frac{3}{2} y = 1[/tex]
[tex] y = \frac{2}{3} [/tex]
This means one block weight 2/3 kg. So how much 2 weigh.
[tex] \frac{2}{3} \times 2 = \frac{4}{3} [/tex]
Answer:
The answer above is correct
Step-by-step explanation:
i need to know this
Answer:
12
Step-by-step explanation:
24/x = x/6
x^2 =24*6 = 144
x=12
The latest online craze is a new game,khan on seven. You get 100 points for playing the game. In addition,you get 50 points for each seven-letter word you make with the ten letter you receive.sal wants to break the record,and he needs 18,000 or more points to do so
Answer:
how do I get started here
The equation of the line is y =?
Answer:
y = -x/2 - 14
Step-by-step explanation:
Hint: The slope shows the rise over run, in this case, the slope is going 1 unit to the right and two units down.
Which number can each term of the equation be multiplied by to eliminate the fractions before solving ?
-3/4m - 1/2 = 2 + 1/4m
Answer:
4
Step-by-step explanation:
-3/4m - 1/2 = 2 + 1/4m
The denominators are 4 and 2
If we multiply by the least common multiply we can get rid of the fractions
2 and 4 have a least common multiple of 4
The following points are rotated about the origin through 90° in clockwise direction. Find the new coordinates,
A. A(1,3), B(5,3), and C(3, 1)
B. A' (3,-1), B'(-5, -3), and C (1.-3)
C. A'(3,-1), B (3,-5), and C(1, -3)
D. O A'(3, 1), B'(3,5), and C(1,3)
Answer:
C
Maybe it is B or A as the answer.
Answer:
B.
A'(1,-3), B'(1,-7), C'(-3,-7), D'(-3,-3)
Step-by-step explanation:
study island
What is the equation of the graphed line written in
standard form?
O x=-3
O y = -3
O x + y =-3
O X-y=-3
Answer:
Option A, x = -3
Step-by-step explanation:
Step 1: Find the graphed line
x = -3
Answer: Option A, x = -3
13 Solve the inequality n+7<5n-8
Answer:
3.75 < n
Step-by-step explanation:
n + 7 < 5n - 8
Add 8 to both sides
n + 7 + 8 < 5n
n + 15 < 5n
Subtract 'n' from both sides
15 < 5n - n
15 < 4n
Divide both sides by 4
[tex]\frac{15}{4}[/tex] < n
3.75 < n
What is the volume of this right triangular pyramid?
Height -36
Base:
side 1 -24
side 2 -19
2736 cm³
5472 cm³
8208 cm³
16,416 cm³
Answer:
The answer is 2736 cm³
Answer:
What is the volume of this right triangular pyramid?
2736 cm³
5472 cm³
8208 cm³
16,416 cm³
List the integers which satisfy the inequality 4.5< -X
There are an infinite number of them.
The ten greatest ones are -5, -6, -7, -8, -9, -10, -11, -12, -13, and -14 .
Now that I've given you ten of them, there are only an infinite number more. I'm too busy right now to list them all.
Answer:
p and q are two numbers.whrite down an expression of.
Please help 33 points
Answer: it’s 111
Step-by-step explanation:
