The true statement about the triangle is (a) b^2 + c^2 > a^2
How to determine the true inequality?The sides are given as:
a, b and c
The angle opposite of side length a is an acute angle
The above means that:
The side a is the longest side of the triangle.
The Pythagoras theorem states that:
a^2 = b^2 + c^2
Since the triangle is not a right triangle, and the angle opposite a is acute.
Then it means that the square of a is less than the sum of squares of other sides.
This gives
a^2 < b^2 + c^2
Rewrite as:
b^2 + c^2 > a^2
Hence, the true statement about the triangle is (a) b^2 + c^2 > a^2
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(MARKING BRAINLIEST TO FIRST CORRECT ANSWER!) Which statement below is true?
A. All squares are rectangles because both are quadrilaterals, have 90 degree angles and the opposite sides are parallel.
B. All trapezoids are rectangles because the opposite sides are parallel.
C. All parallelograms are rhombus' because they have 4 congruent sides and the opposite sides are parallel.
D. All rectangles are trapezoids because all the sides are parallel.
Answer:
A. All squares are rectangles because both are quadrilaterals, have 90-degree angles and the opposite sides are parallel.
Step-by-step explanation:
This is the only true statement because all squares are rectangles just with equal sides, the angles will always be 90-degrees.
Hope this helps!
If not, I am sorry.
Find the slope of every line that is parallel to the line on the graph.
Answer:
-1/5
Step-by-step explanation:
What are parallel lines?
Lines that are parallel never touch. They can extend infinitely and they will still never touch. In order for this to happen the slope of the two lines must be the same. So if we want to find the slope of every line that is parallel to the line on the graph, we simply find the slope of the line of the graph.
Finding the slope
We can find the slope using the following formula:
[tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]
Where the x and y values are derived from any given points on the line (x1,y1) and (x2,y2)
Here the given points are (-5,-1) and (0,-2)
So we have (x1,y1) = (-5,-1) meaning x1 = -5 and y1 = -1
We also have (x2,y2) = (0,-2) meaning x2 = 0 and y2 = -2
Now we plug these values into the formula
Recall formula : [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]
==> Plug in x1 = -5 , y1 = -1 , x2 = 0 and y2 = -2
[tex]Slope=\frac{-2-(-1)}{0-5}[/tex]
==> simplify numerator and denominator
[tex]slope = \frac{1}{-5}[/tex]
So the slope of the line is -1/5
This means the slope of any parallel line to that line would also have a slope of -1/5
21. You and your sister have been saving and decide to buy a PlayStation 5 together. You need $500 to buy the PlayStation. Together you have $850 saved up. Since you have more money, you contribute 50% of your savings and your sister contributes 75% of hers toward the $500 cost. How much do each of you have saved individually?
Answer:
I have $550; my sister has $300.
Step-by-step explanation:
Let the amount I have be x.
Let the amount my sister has be y.
We have a total of $850, so
x + y = 850
50% of my amount plus 75% of my sister's amount equals $500.
0.5x + 0.75y = 500
We have a system of two equations:
x + y = 850
0.5x + 0.75y = 500
Multiply the second equation by 2 and subtract the first equation from it.
0.5y = 150
y = 300
x + y = 850
x + 300 = 850
x = 550
Answer: I have $550; my sister has $300.
What is the branch of mathematics developed by isaac newton called today?.
Answer: Calculus.
Step-by-step explanation: He created calculus.
PLS HELP FAST!! WILL GIVE BRAINLEIST!
Examine the intersection of these two lines: In photo
Which of the following pairs of angles are
supplementary? Select all that apply.
1 and 2
1 and 3
1 and 4
2 and 3
2 and 4
3 and 4
Answer:
1 & 3
1 & 4
2 & 3
2 & 4
Step-by-step explanation:
Any angles that are next to each other on a straight line will add to 180. If they are across from each other (like 1 & 2 or 3 & 4) those are vertical angles. They are equal.
Can someone look at the screenshot and help me?
Answer:
[tex]\boxed {A) m < CVB}[/tex]
Step-by-step explanation:
If C is a point inside ∠AVB, then :
⇒ m ∠AVC + m ∠CVB = m ∠AVB
PLEASE HELP
1-Spin the spinner 20 times, create a table to display the results. What is the experimental probability of spinning yellow?
2-Perform another 20 spins, and record them. What is the new experimental probability of spinning yellow?
3-What is the experimental probability of spinning red or yellow?
Answer:
24
Step-by-step explanation:
4. Find the area:
23 m
5 m
379m²
389m²
74m²
5 m
18 m
6 m
Answer: 379 meters squared
Step-by-step explanation:
Hello!
So, to calculate this area, we need to split it into 3 squares.
You can see that there is a big square, and on top of the big square, there are 2 smaller ones: one to the left and the other to the right.
Area of a square (in this case rectangle) = Lenght multiplied by width
We got 3 squares, if we calculate the area of each one's, we can add them together and get the total area of the irregular shape.
The first square will be the big one:
To get the length of the big square, we need to subtract 5 from 23.
Length of big square = 18 meters
And the width is also 18 meters
Area of the big square = 18 * 18 = 324 meters squared
Now, let's calculate the top left square's area.
That will be 5 meters * 5 meters.
Area of top left square = 25 meters squared.
Top right square's area = 6 meters * 5 meters.
Area of top right square = 30 meters squared
Now, we just gotta add them all up:
324 + 25 + 30 meters squared = 379 meters squared
Hope I Helped!
Error Analysis Your classmate
says she drew HJ as an altitude of
triangle ABC. What error did she make?
Answer:
Step-by-step explanation:
Remark
An altitude is a very special line. It must start from one of the angles and connect with the side opposite that angle. The connection must form a right angle.
It cannot start anywhere else -- certainly not in the middle of a line which would make the altitude of random importance. It could not be accurately reproduced.
A coordinate plane with 2 lines. The first line is labeled y equals f(x) and passes through (0, 4) and (1, 1) The second line is labeled y - g(x) and is horizontal passing through (negative 2, 2), (0, 2), and (2, 2). The lines intersect at a point that is slightly to the right of (0.5, 2).
If f(x) = −3x + 4 and g(x) = 2, solve for the value of x for which f(x) = g(x) is true.
The value of x if both lines intersect is 2/3
What is an equation?The equation in mathematics is the relationship between the variables and the number and establishes the relationship between the two or more variables.
Given the equation of a line that passed through the points (0, 4) and (1, 1) expressed as h(x) = -3x +4
The equation of the second line g(x) passing through the points (-2, 2) and (0, 2) is g(x) = 2
If the lines intersect, then h(x) = g(x)
Substituting the functions to get the value of "x"
-3x + 4 = 2
Subtract 4 from both sides
-3x + 4 - 4 = 2 - 4
-3x = - 2
Divide both sides by - 3
x = 2 / 3
Hence the value of x if both lines intersect is 2/3
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Answer:
2/3
Step-by-step explanation:
edge23
What is the equation of the parabola shown with its directrix on this graph?
Select the correct answer from each drop-down menu. (Will give brainliest)
(Picture below options are 19.5, 29, 58 for both multiple choice)
The angle BAC will be 29 and the angle BOC will be 58.
What is the circle theorem?The angle in a circle's centre is twice that at its perimeter when two angles are subtended by the same arc. So, angle AOB = 2 angle ACB. Angles that the same arc subtends at its circumference are equal. As a result, angles inside a section are equal.
Here the given angle is ∠BDC = 29 so from the given theorem the angle BEC will be equal to the angle BDC.
∠BDC = 29
The centre angle BOC will be twice the angle at the circumference so the angle will be twice.
∠BOC = 59
Therefore the angle BAC will be 29 and the angle BOC will be 58.
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Which ordered pair makes both inequalities true?
y < –x + 1
y > x
On a coordinate plane, 2 straight lines are shown. The first solid line has a negative slope and goes through (0, 1) and (1, 0). Everything below and to the left of the line is shaded. The second dashed line has a positive slope and goes through (negative 1, negative 1) and (1, 1). Everything above and to the left of the line is shaded.
(–3, 5)
(–2, 2)
(–1, –3)
(0, –1)
Answer:
The ordered pair which makes both the inequalities true is = (–2, 2)
Step-by-step explanation:
inequalities are the relationships between two expressions which are not equal to one another.
Inequalities are represented by the following relations:
≤: "less than or equal to"<: "less than"≠: "not equal to">: "greater than"≥: "greater than or equal to"an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It is used most often to compare two numbers on the number line by their size.
so, the option B(-2,2) satisfies the inequalities expressions given in the question
therefore we can conclude that (-2,2) is the ordered pair which ,makes both the given inequalities true.
so the correct answer is (-2,2)
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how many feet?
help me please thank u
Answer:
[tex]\fbox {4.26 feet}[/tex]
Step-by-step explanation:
Picturing this, we find a right triangle.
By taking the sin ratio, we can find the slanted part.
⇒ sin 28° = 2/x = 0.469471563
⇒ x = 2/0.469471563
⇒ x = 4.26 feet
The function a(b) relates the area of a trapezoid with a given height of 14 and one base length of 5 with the length of its other base. It takes as input the other base value, and returns as output the area of the trapezoid. a(b)=14 x b+5/2
A function assigns the values. The inverse of the function in terms of the area will be b=(a/7)-5.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
The complete question is,
The function a(b) relates the area of a trapezoid with a given height of 14 and one base length of 5 with the length of its other base. It takes as input the other base value, and returns as output the area of the trapezoid. a(b)=14 x b+5/2. Write a function in terms of area to find the length of the other side.
The given is the function of the area of the trapezoid, a(b)=14 x b+5/2.
The area of a trapezoid is given as,
Area = Height × [(Sum of parallel sides)/2]
The given function can be written in terms of area as,
[tex]a = 14\times \dfrac{(b+5)}{2}\\\\\dfrac{2(a)}{14} = b+5\\\\\dfrac{2(a)}{14} -5= b\\\\\dfrac{(a)}{7} -5= b[/tex]
Hence, the inverse of the function in terms of the area will be b=(a/7)-5.
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solve on the interval please help!
Answer:
Ф = 2pi/3 , 4pi/3
Step-by-step explanation:
1 + cos Ф = 1/2
Subtract 1 from each side
1 + cos Ф -1 = 1/2-1
cos Ф = -1/2
Take the inverse cos of each side
cos^-1 ( cos Ф )= cos^-1(-1/2)
There are two solutions for the inverse cos of (-1/2), 2pi/3 and 4pi/3
Ф = 2pi/3 +2 npi
Ф = 4pi/3 + 2n pi where n is an integer
We are limited to the interval between 0 and 2pi
Ф = 2pi/3 , 4pi/3
P(x) Q(x) = R(x); if P(x)
72 Am
R(x); if P(x)=x+2 and R(x) = x³ - 3x² - 6x-2, what is Q(x)?
Answer:
Q(x) is = to 11x² that's my answer
A number is 5 more than 3 times another number. the sum of the two numbers is 33. as an equation, this is written x 3x 5 = 33, where x represents the smaller number. plug in the numbers from the set {3, 5, 7, 9} to find the value of x. the value of x that holds true for the equation is . so, the smaller number is and the larger number is .
Answer:
Step-by-step explanation:
Equation
x + 3*x + 5 =33
Solution
4x + 5 = 33
x = 3
4*3 + 5 =? 33
12 + 5 = ? 17 x is not 3
x = 5
4*5 + 5 = ? 33
20 + 5 = 25 x is not 5
x = 7
4*7 + 5 =? 33
28 + 5 = 33 x = 7 is the answer
The value of the variable x will be 7 that holds true for the equation.
What is the linear system?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
A number is 5 more than 3 times another number.
The sum of the two numbers is 33.
Let the number be x.
Then the another number will be 3x + 5.
Then the equation will be
x + 3x + 5 = 33
Then the value of x will be
4x + 5 = 33
4x = 28
x = 7
Then the value of the variable x will be 7 that holds true for the equation.
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What is the equation of the line that passes through the point (6,-4) and has a slope
of-1/3
__________________________________________________________
[tex]\text{\textbf{Hello!} In this question, we are trying to figure out the \underline{equation} of the line}\\\text{with the given information.}[/tex]
__________________________________________________________
[tex]\textbf{Explanation:}\\\quad{}\\\text{In the question, we were given our \emph{slope} and a \emph{point}.}\quad{}\\\\\text{Slope: -1/3 }\\\\\text{Point: (6, -4)}\\\quad{}\\\text{We can use the information above to help solve our question.}\\\text{In order to find the equation, we will be using the \underline{point-slope formula:}}\\\quad{}\\y - y1 = m(x - x1)\\\quad{}\\\text{With this equation, we would plug in our given values and solve.}\\\\[/tex]
__________________________________________________________
[tex]\textbf{Solve:}\\\\y - y1 = m(x - x1)\quad{}\\\\\text{Plug in -1/3 to m, 6 to x1, -4 to y1 and then solve.}\\\\y - (-4) = -1/3(x - 6)\\\\y + 4 = -1/3x + 2\\\\\fbox{y = -1/3x - 2}[/tex]
__________________________________________________________
[tex]\textbf{Answer:}\\\\\text{Therefore, the equation of the line would be: \fbox{y = -1/3x - 2}}[/tex]
__________________________________________________________
Find the percent of the area under the density curve where xxx is more than 333.
Answer:
25%
Step-by-step explanation:
Got it right on khan
Answer:
60%
Step-by-step explanation:
its right on khan
help me with this question please, thank you !
Answer:
2
Step-by-step explanation:
[(27divided by (-3)-9] divided by [15-21}
=[-9-9] divided by 3
= 6divided by 3 = 2
if answer is correct so mark me as brain lest :-)
f(z)=(1/3)
h(z) = z+4/z-2
evaluate (h•f)(0)
The value of the composite function (h•f)(0) is -2/3
How to solve the composite function?The functions are given as:
f(z)=(1/3)
h(z) = z+4/z-2
Start by calculating f(0) and h(0)
f(0) = 1/3
h(0) = (0+4)/(0-2)
h(0) = -2
The composite function is then calculated as:
(h•f)(0) = h(0) * f(0)
This gives
(h•f)(0) = -2 * 1/3
Evaluate
(h•f)(0) = -2/3
Hence, the value of the composite function (h•f)(0) is -2/3
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If log_2(3) = a and log_2(10) = b then an expression for log_2(90) is
[tex]\log_290=\log_2(3^2\cdot10)=\log_23^2+\log_210=2\log_23+b=2a+b[/tex]
true or false 5x +11 = 7 is an expression
Answer: False
Step-by-step explanation: An expression is a sentence with a minimum of two numbers or variables and at least one math operation.
Expressions do not have an equal sign because they do not have an answer.
Which graph represents this equation?
5y = x + 5
A.
A line is graphed in an x y plane, where the x and the y axes range from negative 8 to 8 in increments of 2. The line rises through (negative 8, negative 0.5), (negative 5, 0), (0, 1), and (5, 2).
B.
A line is graphed in xy plane ranging from negative 8 to 8 in increament of 1. The line raises through (negative 8, negative 2) ,(0,1) and (1,5).
C.
A line is graphed in an x y plane, where the x and the y axes range from negative 8 to 8 in increments of 2. The line rises through (negative 5, 4), (0, 5), and (5, 6).
D.
A line is graphed in an x y plane, where the x and the y axes range from negative 8 to 8 in increments of 2. The line rises through (negative 2, negative 5), (negative 1, 0), and (0, 5). need answer quick
Graph (A) represents the equation of the line 5y = x + 5 shown in the graph option (A) is correct.
What is a straight line?A straight line is a combination of endless points joined on both sides of the point.
The slope 'm' of any straight line is given by:
[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]
We have the equation of the line:
5y = x + 5
After plotting the line on the coordinate plane.
The above line passes through:
(-5, 0), (0,1), and (5,2)
And the line rises from (-8, -0.5), (-5, 0), (0,1), and (5,2)
Thus, graph (A) represents the equation of the line 5y = x + 5 shown in the graph option (A) is correct.
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Answer: A. A line is graphed in an x y plane, where the x and the y axes range from negative 8 to 8 in increments of 2. The line rises through (negative 8, negative 0.5), (negative 5, 0), (0, 1), and (5, 2).
Step-by-step explanation:
Tahir purchase to toys for his children he buyS spider-man and barbie doll for rs. 3,000 and rs. 5,000 respectively if a discount of 20% is offered on all toys find amount of discount in the sale price for each toy
For the spider man the discount is of rs600, for the doll the discount is of rs1,000.
How to find the amount of discount for each toy?We know that the price of the spider-man is rs3,000, and we apply a discount of the 20%.
So the amount of discount for that toy is the 20% of rs3,000, which gives:
(20%/100%)*rs3,000 = rs600
So the amount discounted for the spider-man is rs600.
For the case of the doll, we know that its cost is rs5,000, the amount discounted is:
(20%/100%)*rs5,000 = rs1,000
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The surface area of the triangular prism is
.
Answer:
576 m
__________________________________________________________ The surface area of the triangular prism is (Perimeter of the base × Length of the prism) + (2 × Base Area) = (S1 + S2+ S3)L + bh
For this question,
you know that the perimeter of the base is 6+10+8 which is 24.
and the length of the prism is 22,
so (22x24) + Base Area which is (6x8)/2-> 24x2
(22x24)+(24x2)= 528 + 48 = 576
so your answer is 576
__________________________________________________________
Hope this helped!
the cost of 10 water bottles is $55. find the unit cost of the water bottle
Answer:
$5.50
Step-by-step explanation:
For one water bottle you divide the 55 dollars by 10
55/10= 5.5
Answer:
$5.50
Step-by-step explanation:
We must divide to solve so lets do that now :)
55/10 = 5.50
Each bottle will cost 5 dollars and 50 cents :)
Have an amazing day!!
Please rate and mark brainliest!!
HELPP URGENT and please explain
Answer:
A) There are two complex solutions.
Step-by-step explanation:
To know how many solutions a quadratic equation has, calculate the discriminant of the equation.
discriminant = b² - 4ac
where a = coefficient of x²
b = coefficient of x
c = constant of equation
if b² - 4ac > 0 , then equation has 2 real roots
if b² - 4ac = 0 , then equation has 1 real, repeated root
if b² - 4ac < 0 , then equation has 2 complex roots
In this case, discriminant = 9² - 4(-2)(-12)
= -15
As -15 < 0, equation has 2 complex roots.
32 divided by 4x [16x1/2]-2
