Step-by-step explanation:
A
=
h
b
b
2
=
11
·
22
2
=
121
cm²
The area of the obtuse triangle with a height of 11 cm and a base of 22 cm is 121 cm².
To determine the area of an obtuse triangle, we can use the formula for the area of a triangle, which is given by:
Area = (1/2) * base * height
In this case, the height of the triangle is given as 11 cm and the base is given as 22 cm.
Substituting these values into the formula, we have:
Area = (1/2) * 22 cm * 11 cm
Calculating this expression, we get:
Area = (1/2) * 242 cm²
Simplifying further, we have:
Area = 121 cm²
The area of a triangle is calculated by multiplying half of the base by the height. In this case, the given height is 11 cm and the base is 22 cm. Substituting these values into the formula, the area of the obtuse triangle is calculated to be 121 cm².
To learn more about area click on,
https://brainly.com/question/8397982
#SPJ2
Can someone help me with this math homework please!
Answer:
Question 1: (C) Step 3
Question 2: (B) The 2nd graph from the left
Question 3: (A, B, D)
Question 4: (D) Subtract 1.1j from both sides
Question 5: (C) x <= 3
Question 6: (D) y = 10
Step-by-step explanation:
Question 1:
Step 3 is where Rahul added 1/4 to both sides. This is the only time he used the addition property of equality.
Question 2:
This questions requires you to have knowledge on how to graph lines.
g(x) = -1 is already graphed correctly on all of the answer choices, so we only have to focus on f(x) = -1/2x - 2.
The y-intercept for f(x) is -2, and only answers B & D have that intercept. However, only B has the correct slope of -1/2.
Question 3:
A is correct because they added 3/5x and x, which is still equal to the original equation.
B is correct because they multiplied all the terms to have a denominator of 30, then multiplied both sides by 30 to eliminate the fractions.
C is wrong because it's supposed to 30x, not just a regular x from the original equation.
D is correct because as you solve the equation for x, you end up adding 18x, 6x, and 30x, which is 54x. 24x + 30x in this answer choice also equals 54x.
E is wrong because they subtracted instead of adding the 6x.
Question 4:
All of the answer choices are wrong except for D because the other choices either use a wrong term (like 4j, which doesn't exist) or the wrong property of equality.
Question 5:
Use basic algebra to sovle the inequality:
2(4 + 2x) >= 5x + 5
(distribute 2 to the (4 + 2x))
8 + 4x >= 5x + 5
(subtract 5 from both sides)
3 + 4x >= 5x
(subtract 4x form both sides)
3 >= x
x <= 3
Question 6:
Use basic algebra to solve for y:
2.8y + 6 + 0.2y = 5y - 14
(subtract 6 from both sides)
2.8y + 0.2y = 5y -20
(add like terms)
3y = 5y - 20
(subtract 5y from both sides)
-2y = -20
(divide both sides by -2)
y = 10
Hope it helps (●'◡'●)
What is the volume of the rectangular prism below? ⊕
Answer:
32cm³ is the volume of the given rectangle.
Step-by-step explanation:
volume of rectangle=l×w×h
2×4×432cm³hope it helps
stay safe healthy and happy..Answer:
bro i go to your school
lol
Step-by-step explanation:
Find the area of the polygon with the coordinates (1, 2), (3, 2), (3, 0), and
(1,0).
2 sq. units
8 sq. units
4 sq. units
16 sq. units
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
A straight line is drawn through the points A(1,1) and B(5,-2). Calculate the gradient
Answer:
-3/4
Step-by-step explanation:
The line passes through the two points which are A(1,1) and B(5,-2) . We know that the slope of the line passing through two points is ,
[tex]\implies Slope =\dfrac{y_2-y_1}{x_2-x_1}\\\\\implies Slope =\dfrac{ -2-1}{5-1}\\\\\implies Slope =\dfrac{-3}{4} \\\\\implies \underline{\underline{ Slope (m) =\dfrac{-3}{4}}}[/tex]
Hence the slope of the line is -3/4 .
What single decimal multiplier would you use to increase by 8% followed by a 9% increase?
The answer is 1.1772
Answer:
1.1772 is the single decal multiplier which should be used.
Step-by-step explanation:
Let the initial value be X.
After 8% increase, the value is =((100+8) /100) ×X = 1.08X.
Again after 9% increase, the final value is =((100+9) /100) ×1.08X =(1.09) ×(1.08) X =1.1772X.
This single decimal multiplier which should be used is 1.1772
The triangle below is isosceles. Find the length of side xx in simplest radical form with a rational denominator.
Answer:
Solution given:
Since the given triangle is isosceles and right angled triangle
perpendicular [p]=base[b]=x
hypotenuse [h]=6
we have
by using Pythagoras law
p²+b²=h²
x²+x²=6²
2x²=36
x²=36/2
x²=18
x=[tex]\sqrt{18}[/tex]
x=[tex]\bold{3\sqrt{2}}[/tex]
The length of side x in simplest radical form with a rational denominator is [tex]3\sqrt{2}[/tex]
Let the perpendicular base be x.Given the following data:
Hypotenuse = 6 units.To determine the length of side x in simplest radical form with a rational denominator, we would apply Pythagorean's Theorem:
What is the Pythagorean Theorem?Mathematically, Pythagorean's Theorem is given by this formula:
[tex]c^2 = a^2 + b^2[/tex]
Substituting the given parameters into the formula, we have:
[tex]6^2 = x^2 + x^2\\\\36=2x^2\\\\18=x^2\\\\x=\sqrt{18} \\\\x=3\sqrt{2}[/tex]
Read more on Pythagorean Theorem here: https://brainly.com/question/16176867
What is y?
[tex]8^{y+2}=\frac{2^4}{4^{2y}}[/tex]
Can someone please explain to me in details and show me the steps TvT?
Answer:
y = -2/7
Step-by-step explanation:
8^(y+2) = 2^4/4^(2y)
you want to on both sides so you can solve for the exponents
8= 2^3
4= 2^2
2^3y+6 = 2^4/2^(4y)
2^(3y+6) = 2^(4-4y)
3y + 6 = 4 - 4y
7y = -2
y = -2/7
The formula for the circumference of a circle is R = c/2(pi)
Find the radius of a circle that has a circumference of 16(pi)
A) r = 4
B) r = 8
C) r = 12
D) r = 16
What is the range of the given function ?
{(-2,0),(-4,-3),(2,-9),(0,5),(-5,7)}
Answer:
{0,-3,-9,5,7}
Step-by-step explanation:
range = all y values
function =(x,y)
so all the second values are ranges
my friend took time to round once around a circular field is 30seconds. Calculate the area of field of the school of his speed is 90 meter/sec
Answer:
im bad at math but i think its 120
Which of the following is an arithmetic sequence
Answer:
First one.
-3 is added to the previous term.
Which statement is an example of the symmetric property of congruence
9514 1404 393
Answer:
B.
Step-by-step explanation:
The symmetric properties of equality and congruence let you swap sides of the equality/congruence symbol without changing the truth of the statement:
A ≅ B ⇔ B ≅ A
Find x
Help me please
Answer:
x=31.2
Step-by-step explanation:
Since angle C is 4x-10 and angle A is 2x+3
then the two angles combined should equal 180 (based off of the inscribed quadrilateral theorem)
4x-10+2x+3=180
6x-7=180
6x=187
x=31.166...
if you round it to the nearest tenth it would be 31.2
HELPPP PLSSSSSSSSSSSSS
Answer:
x=(-1/10) is the answer of given algebra
Which point is in the solution set of this system inequalities?
A. (0,0)
B. None of these
C. (5,1)
D. (3,7)
Answer:
B
Step-by-step explanation:
To find which ordered pairs are solutions to the inequalities we can simply plug in the x and y values of the ordered pairs into the inequalities and if the equation is true for both inequalities then the ordered pair is a solution to the inequalities.
For (0,0)
x = 0
y = 0
y > x + 5
Substitute 0 for y and x
0 > 0 + 5
Simplify right side
0 > 5
The inequality is not true as 5 is greater than 0, not less than. So immediately we can eliminate answer choice A.
For (5,1).
x = 5
y = 1
y > x + 5
Substitute 5 for x and 1 for y
1 > 5 + 5
Simplify right side
1 > 10
Again, the equation is not true as 1 is not greater than 10. This means that c cannot be the answer
For (3,7)
x = 3
y = 7
y > x + 5
Substitute 3 for x and y for 7
7 > 3 + 5
Simplify right side
7 > 8
7 is not greater than 8 meaning that (3,7) cannot be a solution to the inequalities
None of the ordered pairs created true equations hence the answer is B
PLZ I NEED ANSWER ILL GIVE BRAINLIEST
Answer:
y = -2x + 1
Step-by-step explanation:
y2 - y1 / x2 - x1
-3 - 3 / 2 - (-1)
-6 / 3
= -2
y = -2x + b
3 = -2(-1) + b
3 = 2 + b
1 = b
Calculate the exact value of number one
Answer:
1. a. (ii) 1/27
Step-by-step explanation:
1st one is already given, I will give you the answer to the second one,
³√27/9²
= 3/81
= 1/27
Answered by GAUTHMATH
Answer:
17/42 or in decimal 0.405
Step-by-step explanation:
Add: 1 4/7+2/3- 1 5/6= 47/21- 1 5/6
Subtract: 47 - 1 5/6 = 17/42
Simplify: 17/42
Write a pair of integers whose sum gives: a) a negative integer
b) zero
c) an integer smaller than the both integers
Answer:
a) 4-5 = -1
b) -6+6 = 0
c) 6+(-4) = 2
The area of a duck enclosure is 300 square feet, with 100 square feet occupied by a pond. Each duck in the enclosure needs more than 20 square feet of space on dry land. If x ducks can be put in the enclosure, which is the simplest inequality that represents this situation?
Answer: x = 100 duck
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Help and explain pls and thankyouu
Hello,
1)
[tex]\left\{\begin{array}{ccc}2x-y&=&7\\-2x+3y&=&9\\\end{array} \right.\\\\\\\left\{\begin{array}{ccc}2y&=&16\\-2x+3y&=&9\\\end{array} \right.\\\\\\\left\{\begin{array}{ccc}y&=&8\\-2x+3*8&=&9\\\end{array} \right.\\\\\\\left\{\begin{array}{ccc}x&=&7.5\\y&=&8\\\end{array} \right.\\\\[/tex]
Answer C
2)
[tex]\left\{\begin{array}{ccc}x-2y-3z&=&5\\x+2y+3z&=&7\\x+z&=&3\\\end{array} \right.\\\\\\\left\{\begin{array}{ccc}2x&=&12\\x+2y+3z&=&7\\x+z&=&3\\\end{array} \right.\\\\\\\left\{\begin{array}{ccc}x&=&6\\2y+3z&=&1\\z&=&-3\\\end{array} \right.\\\\\\\\\left\{\begin{array}{ccc}x&=&6\\y&=&5\\z&=&-3\\\end{array} \right.\\\\\\[/tex]
Answer C
Which of the following equations correctly represents the law of cosines?
A. 2 = 22 + b2 - 2ab.cos(B)
B. 2 = 22 + c2 - 2ac.cos(C)
C. a2 = b2 + c2 - 2bc.cos(A)
D. b2 = 22 +62 - 2bc.cos(B)
Answer:
D. b2 = 22 + 62-2bc.cos(B)
How many terms are in the algebraic expression
Also, What do they mean by "Terms"
Answer:
There are 4 terms
Step-by-step explanation:
A term is a single mathematical expression. Terms can be identified with a plus or minus sign in front of them. Terms can also be multiplied and divided.
So, in this case, the terms are:
-7
12x^4
-5y^8
x
Lisa plans to watch 3 movies each month. Write an equation to represent the total number of movies n that she will watch in m months.
Answer:
someone help call the police candice just got shot
Step-by-step explanation:
ahahahahahahahhahaa
Answer:
3m
Step-by-step explanation:
1 month =3 movies
m month =3*m movies
A heel travels 850 miles in 28 gallons of gas. How many miles does it travel in one gallon of gas
Answer:
850/28=30 miles a gallon
Step-by-step explanation:
mark as brainlist
Point D is the incenter of triangle BCA. If mZFHG = 61°, what is the measure of 2FDG?
Answer:
122
Step-by-step explanation:
The angle subtended by an arc of a circle at the center is double times the angle subtended by it any point of the remaining part of circle
∠FDG = 2*FHG
= 2 * 61
= 122°
Answer:
122
Step-by-step explanation:
Find the intersection point between the lines of equations:
2x-y+6=0 and 2x+3y-6=0
Step-by-step explanation:
The two equation will intersect each other at the point which will be the solution of the given two equations , and the given equations are ,
[tex]\implies 2x -y +6=0\\\\\implies 2x + 3y -6=0[/tex]
On subtracting the given equations we have,
[tex]\implies -y - 3y +6 -(-6) = 0 \\\\\implies -4y = -12 \\\\\implies y = -12/-4\\\\\implies y = 3 [/tex]
Put this value in any equation , we have ,
[tex]\implies 2x -3 +6 =0\\\\\implies 2x = -3 \\\\\implies x =\dfrac{-3}{2} \\\\\implies x =-1.5 [/tex]
Hence the lines will Intersect at ,
[tex]\implies\underline{\underline{ Point=(-1.5, 3)}}[/tex]
for the first one x = 1/2 y-3" and y = 2 x + 6 and for the other one is x = − 3 /2 y+ 3 and y= − 2 /3 x + 2
how i did this Step 1: Add -3y to both sides.
Step 2: Add 6 to both sides.
Step 3: Divide both sides by 2.
The graph of quadratic function f has zeros of -8 and 4 and a maximum at (-2,18). What is the value of a in the functions equation
Hello,
Answer D
-8 and 4 are zeros ==> y=k*(x+8)(x-4)=kx²+4kx-32k
(-2,18) is a point of the curve:
18=k*(-2)²-8k-32k
-36k=18
k= - 1/2
Answer:
Have a great rest of ur day :)
Step-by-step explanation:
Help,anyone can help me do quetion,I will mark brainlest.
Answer:
Area of a triangle=1/2×base x height
Let y represent the height
50cm²=1/2×20cm×y
50cm²=10cm×y
50cm²/10cm=10cm×y/10cm
5cm=y
therefore the height of the triangle is 5cm
Area of a trapezoid=1/2×a+b×height
let h represent the height
42cm²=(1/2×14cm+7cm)×h
42cm²=1/2×21cm×h
42cm²=21cm×h/2
42cm²×2=21cm×h(cross multiply)
84cm²=21cmh
84cm²/21cm=21cmh/21cm
4cm=h
Therefore the height is 4cm
Given line segment AB with endpoints A(-1,7) and B(11, -1)
Find the length of AB.
Step-by-step explanation:
some to check if it correct
The length of the line segment AB is 8.48 unit.
What does length mean?The term used for identifying the size of an object or the distance from one point to another is known as length.
The length of the line segment having endpoints A (x1, y1) and B (x2, y2) can be determined using the formula,
[tex]AB=\sqrt{(x_{2} ^{2} -x_{1} ^{2} )+(y_{2} ^{2} - y_{1} ^{2} )}[/tex]
Given that x1 = -1, x2= 11, y1= 7, and y2= -1.
Substituting the given values in the above equation
[tex]AB=\sqrt{(11^{2}-(-1)^2 )+((-1)^2-7^2)}[/tex]
[tex]AB=\sqrt{72} = 8.48[/tex]
Hence, 8.48 unit is the length of line segment AB.
To learn more about length, use the link given below:
https://brainly.com/question/8552546
#SPJ2
In a survey of 24 pupils 1/3 liked football best 1/4 liked basketball,3/8 liked athletics and the rest liked swimming.How many liked swimming?
Answer:
[tex]24 \times \frac{1}{3} = \frac{24}{3} = 8[/tex]
8 pupils like football
[tex]24 \times \frac{1}{4} = \frac{24}{4} = 6[/tex]
6 pupils like basketball
[tex]24 \times \frac{3}{8} = \frac{72}{8} = 9[/tex]
9 pupils like athletics
and how many liked swimming?
8 + 9 + 6 = 23 pupils
24-23 = 1 pupils liked swimming
GOOD LUCK ツ