Answer:
ONE
Step-by-step explanation:
Only one. Since a triangle's angles must sum to 180° in Euclidean geometry, no Euclidean triangle can have more than one obtuse angle.
Answer: ONE
The required, an obtuse triangle is a triangle that has one angle measuring more than 90 degrees. By definition, an obtuse triangle has exactly one obtuse angle.
An obtuse triangle, by definition, contains one obtuse angle, which is an angle greater than 90 degrees but less than 180 degrees. The obtuse angle is the largest angle in an obtuse triangle, while the other two angles are acute angles (less than 90 degrees).
Since there is only one angle in an obtuse triangle that qualifies as an obtuse angle, we can conclude that there is exactly one obtuse angle in an obtuse triangle. The remaining two angles are acute angles.
It's important to note that the sum of the angles in any triangle is always 180 degrees. In the case of an obtuse triangle, the obtuse angle occupies a portion of that sum greater than 90 degrees, leaving the remaining acute angles to share the remaining portion of the 180-degree total.
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What are two other forms to write the numbers 0.253 and 7.632?
Answer:
See below
Step-by-step explanation:
0.253 can be written as 253/1000
7.632 can be written as 7 632/1000 or 7 79/125 simplified
Sara got 88, 90, 75, 78, 100, 54, 90, 100, 45, and 60 on her English tests
What is the mean of Sarah’s English tests
Answer: 78
Step-by-step explanation:
88+90+75+78+100+54+90+100+45+60 = 780
Divide this number by the total number of factors,in this case 10:
780/10 = 78
Write the formula of the function y whose graph is shown. A. Y equals 1 divided by x minus 4. B. Y equals 4 divided by the quantity x minus 4 end of quantity. C. Y equals 4 divided by the quantity x plus 4 end of quantity. D. Y equals 4 divided by x.
Answer:
Option D. Y equals 4 divided by x.
Step-by-step explanation:
The picture of the question in the attached figure
we know that
Looking a t the graph
For x=1, y=4
For x=4, y=1
For x=-1, y=-4
For x=-4, y=-1
therefore
The equation that satisfy these values is
[tex]y=\frac{4}{x}[/tex]
HELP WILL GIVE BRAINLIEST! RATE AND SAY THANKS!!
What is the density of a 50-gram pyramid with rectangular base 4 x 8 cm and height 10 cm?
The density of the pyramid is calculated by first finding the volume using the formula for a pyramid's volume, and then dividing the mass by this volume, resulting in a density of approximately 0.469 g/cm³.
Explanation:To find the density of a pyramid with a rectangular base, we first need to calculate its volume. The formula for the volume of a pyramid is V = (1/3)Bh where B is the area of the base and h is the height. In this case, the base has dimensions of 4 cm by 8 cm, so its area is 4 cm * 8 cm = 32 cm². The height of the pyramid is given as 10 cm, so the volume can be calculated as V = (1/3)*32 cm²*10 cm = 106.67 cm³.
With the mass of the pyramid given as 50 grams, the density (ρ) can be calculated using the formula ρ = mass/volume. Thus, the density is 50 grams / 106.67 cm³ = 0.469 g/cm³. Therefore, the density of the pyramid is approximately 0.469 g/cm³.
Solve by elimination.. SHOW YOUR WORK. -3x + 2y = 18
-9x - 5y=21
Answer:
Add the equations in order to solve for the first variable. Plug this value into the other equations in order to solve for the remaining variables.
Point Form:
( − 4 , 3 )
Equation Form:
x = − 4 , y = 3
Step-by-step explanation:
Answer:
x = —4, y = 3
Step-by-step explanation:
-3x + 2y = 18 (1)
-9x - 5y =21 (2)
To solve by eliminating, the coefficients of either x or y must be the same in both equation.
Now let us make the coefficient of x in both equation to be the same. To do this, multiply equation (1) by the coefficient of x in equation (2) ie —9, and multiply equation (2) by the coefficient of x in equation (1) ie —3 this is illustrated below :
—9 ( —3x + 2y = 18)
27x — 18y = — 162 (3)
—3 ( —9x — 5y = 21)
27x + 15y = —63 (4)
Now, subtract equation 4 from equation 3
27x — 18y = — 162
— (27x + 15y = —63)
—33y = —99
Divide both side by —33
y = —99/—33
y = 3
Now we substitute the value of y into any of the equation to obtain x. In this case, let use equation 4
27x + 15y = —63
27x + 15(3) = —63
27x + 45 = —63
Collect like terms
27x = —63 —45
27x = —108
Divide both side by 27
x = —108/27
x = —4
Therefore, x = —4, y = 3
Can someone please help me???!!!
Answer:
A.)
Step-by-step explanation:
Jay earns $2,500 a month. He pays
$850 a month to rent an apartment
What percent of Jay's income does
he pay for rent?
Answer: 34%
Step-by-step explanation: 2,500 - 34% = 850 the remaining 76% equals 1,650
the y intercept, to the nearest hundredth, of the line -9y=7x+8
Answer:
(0, -0.89) or -0.89
Step-by-step explanation:
Step 1: Solve for y by dividing both sides by -9
-9y = 7x + 8
-9y / -9 = (7x + 8) / -9
y = -7/9x - 8/9
Step 2: Identify the y-intercept
y = mx + b
m is slope
b is y-int
y = -7/9x - 8/9
Answer = (0, -0.89) or -0.89
Answer:
-0.89
Step-by-step explanation:
(see attached graphic for reference)
recall that the slope-intercept form of a line looks something likeL
y = mx + b
where m is the slope and b is the y-intercept.
Hence all we need to do is to rearrange our equation so that it looks like the one above.
-9y=7x+8 (divide both sides by -9)
-9y / (-9) = (7x+8) / (-9)
y = (7x+8) / (-9) (use distributive property )
y = [ 7x / (-9) ] + [ 8/(-9) ]
y = (-7/9)x + (-8/9)
comparing this equation with the general equation above,
we can see that the
y-intercept , b
= -8/9
= -0.88888..............
= -0.89 (nearest hundredth)
(−2x−3) as a fraction
Answer:
6 or 6/1
Step-by-step explanation:
Multiple: -2 * (-3) = 6
An oblique prism has a base area of 3x2 square units.
An oblique prism has a base area of 3 x squared square units. The base of the prism is a quadrilateral. The distance from the top quadrilateral to the bottom quadrilateral is 13. A right triangle is drawn outside of the prism and has the side with length 13 as its hypotenuse. The base length of the triangle is 5.
What expression represents the volume of the prism, in cubic units?
Answer:
36x²
Step-by-step explanation:
i just did it on edge 2020
The volume of the oblique prism can be calculated by multiplying the base area by the height of the prism.
Explanation:The volume of an oblique prism can be calculated by multiplying the area of its base by its height. In this case, the base area is given as 3x2 square units, and the height of the prism is 13 units. Therefore, the expression that represents the volume of the prism is 3x2 * 13 = 39x2 cubic units.
Find the derivative of F(x)=-x^4+4x^3+ 70 for 0<=x<=3
Answer:
-4x^3 +12x^2 for 0 < x < 3
Step-by-step explanation:
The power rule is appropriate:
(d/dx)x^n = n·x^(n-1)
This is applied to each of the terms.
F'(x) = -(4·x^3) +4(3x^2) +0
F'(x) = -4x^3 +12x^2 . . . . for 0 < x < 3
__
The derivative is not defined at the endpoints of the interval, so F'(x) is only defined on (0, 3), not [0, 3].
Last year, Jess saw x dramas and y comedies at the movie theater. If she went to the theater no more than 8 times, which inequality best represents the number of movies she saw?
x + y < 8
x + y > 8
x + y ≤ 8
x + y ≥ 8
Answer:
[tex]x + y \leqslant 8[/tex]
Step-by-step explanation:
The key idea here is to identify how to translate the statement, no more than, into inequality.
No more than 8 means less or equal to 8.
If Jess saw x dramas and y comedies at the movie theater, and she went to the theater no more than 8 times,then the inequality that best describes the situation is:
[tex]x + y \leqslant 8[/tex]
The third choice is correct
a baker uses 84 cups of flour for 36 batches of cookies how many cups of flour are needed for one batch of the cookies
Answer:
I think 2.333333333
Step-by-step explanation:
Answer:
D. 2 + 1/3 Cups of Flour
Step-by-step explanation:
84 Cups of Flour / 36 Batches of Cookies
=
x Cups of Flour / 1 Batch of Cookies
x = 7/3 Cups of Flour
D. 2 + 1/3 Cups of Flour
please help me again
Answer:
65 degrees
Step-by-step explanation:
Step 1: Find what the measure of JLK is
JLM + JLK = 180
140 + JLK - 140 = 180 - 140
JLK = 40
Step 2: Find what the measure of KJL is
KJL + JLK + JKL = 180
KJL + 40 + 75 = 180
KJL + 115 - 115 = 180 - 115
KJL = 65
Answer: 65 degrees
If the trapezoid below is reflected across the x-axis, what are the coordinates
of B?
A. (4-8)
B.(-4,-8)
C. (-4,8)
D. ( -8,-4)
As you may have intentionally forgotten to add the diagram. The diagram of the trapezoid is attached below.
Answer:
The point B(4, 8) after reflection across x-axis would be B'(4, -8).
B(4, 8) → B'(4, 8)
Step-by-step explanation:
The rule of reflection across the x-axis states that a reflection of a point, let say M(x, y), across the x-axis does not change the value of x-coordinate but changes the sign of the y-coordinate of the point.
In a nutshell,
The point M(x, y) after reflection across x-axis would be M'(x, -y)
M(x, y) → M'(x, -y)
From the diagram attached below, the coordinate of point B is (4, 8).
So, according to the rule of reflection across the x-axis, the coordinates of the image of the point B (4, 8) after the reflection across the x-axis will be B'(4, -8).
i.e.
The point B(4, 8) after reflection across x-axis would be B'(4, -8).
B(4, 8) → B'(4, 8)
A segment has a midpoint at (2,-7) and an endpoint at (8,-5). What are the coordinates of the other endpoint?
Answer:
(-4,-9)
Step-by-step explanation:
Given a segment AB with endpoints with coordinates
A: [tex](x_A,y_A)[/tex]
B: [tex](x_B,y_B)[/tex]
The coordinates of the midpoint M of the segment AB are given by:
[tex]x_M = x_A + \frac{x_B-x_A}{2}\\y_M = y_A + \frac{y_B-y_A}{2}[/tex] (1)
In this problem, we know that:
- The midpoint of the segment AB has coordinates
[tex]x_M=2\\y_M=-7[/tex]
- One of the endpoint of the segment has coordinates
[tex]x_B=8\\y_B=-5[/tex]
So we can find the coordinates of the other endpoint A by re-arranging eq.(1) above:
[tex]x_A=2x_M-x_B\\y_A=2y_M-y_B[/tex]
And substituting, we find:
[tex]x_A=2(2)-8=-4\\y_A=2(-7)-(-5)=-9[/tex]
So, the coordinates of the other endpoint are (-4,-9).
To find the coordinates of the other endpoint, use the midpoint formula to average the x-coordinates and the y-coordinates of the given point and the midpoint.
Explanation:To find the coordinates of the other endpoint, we can use the midpoint formula. The midpoint formula states that the midpoint of a line segment is the average of the x-coordinates and the average of the y-coordinates of the endpoints. So, we can calculate the x-coordinate of the other endpoint by averaging the x-coordinates of the given point and the midpoint: (8 + 2) / 2 = 5. Similarly, we can calculate the y-coordinate of the other endpoint by averaging the y-coordinates: (-5 + (-7)) / 2 = -6.
Therefore, the coordinates of the other endpoint are (5, -6).
what positive number raised to the second power is equal to 64
Answer: 8
Step-by-step explanation: 8 times 8 is 64.
Answer:
8
Step-by-step explanation:
[tex]8^{2} = 64[/tex]
PLEASE HELP me I am struggling.
Answer:
ab - b^2
Step-by-step explanation:
The area of the large rectangle is
A = a*b
The area of the unshaded region is
A = b*b
The area of the shaded region is the large rectangle minus the unshaded region
ab - b*b
or
ab - b^2
What fraction of a pound is 35 pence
Step-by-step explanation:
It is: 35/100 = 7/20 simplified
Answer:
Step-by-step explanation:
7/20
HELP PLEASE be QUICK
Answer:
C=62.83
Step-by-step explanation:
C=2πr
Radius= Diameter/2
C=2π(10)
C=62.83
Use the graph to find the coordinates of each vertex in
triangle ABC
is the coordinate of Point A.
is the coordinate of Point B.
is the coordinate of Point C
(0, -1)
Intro
Done
please make brainiest.
is the coordinate of point b The point (x, y) is the top of a polygon. Which point would it map to if the polygon were reflected over the x-axis and then translated 5 units down?
A) (x, y+5)
B) (x,-y-5)
C) (-x+5, -y)
D) (-x, -y+5)
Answer:
it´s b for sure
Step-by-step explanation:
The coordinates of the transformed point is (x,-y-5), the correct option is B.
What is Reflection of an object?The reflection of an object refers to creating a mirror image of the object, similar in shape and size, just the coordinates are switched.
When a point is reflected over an axis, the coordinate of the other axis changes to its additive inverse.
The coordinates (x,y) when reflected over x axis change to (x,-y)
The polygon is reflected over x axis
then the coordinate ( x,y) will become (x,-y)
After translation, 5 units down, the coordinate change to
( x, -y-5)
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________+ 1 1/10=3 1/2
Answer: 12/5 or 2 2/5
Step-by-step explanation:
From the question: ________+ 1 1/10=3 1/2
Let the missing value be x
Convert the improper fraction to proper fraction
1 1/10 = 11/10
3 1/2= 7 /2
Therefore, x + 11/10 = 7/2
Subtract both sides of the equation by 11/10 to get the value of x
x + 11/10 - 11/10 = 7/2 - 11/10
x = 24/10
x = 12/5 or 2 2/5
Answer:
2.4 or 2 2/5
Step-by-step explanation:
1. Creating the Equation
This problem is meant to have you work backwards from the information given. In this case, there is no reason to organize information, as this is not a word problem.
Instead, a simpler approach would be to replace the blank space with the variable x.
Once x replaces the blank space, the equation should appear as shown:
x + 1 1/10 = 3 1/2
2. Solving for x
Now that the equation was created, use the order of operations to solve for x.
Firstly, convert all the mixed numbers into improper fractions to simplify the solving process.
x + 11/10 = 7/2
Next, convert the 7/2 fraction into the same denominator as the 11/10 fraction. To do this, multiply both the numerator and the denominator by 5/5.
x + 11/10 = 7/2
x + 11/10 = 5/5(7/2)
x + 11/10 = 35/10
Finally, subtract the 11/10 fraction from both sides of the equation to find the solution to x.
x + 11/10 = 35/10
x + 11/10 - 11/10 = 35/10 - 11/10
x = 24/10
x = 2 4/10
(Simplify the fraction if needed)
x = 2 2/5
As said earlier, x was meant to represent the final answer.
x + 1 1/10 = 3 1/2
x = 2 2/5
2 2/5 + 1 1/10 = 3 1/2
92
9
u
2
v
and which term are like terms?
Prove that pi is irrational
Answer:
Since pi cannot be expressed as a fraction, it is counted as an irrational number. Numbers that are irrational are: 1/3, e, 5/6
Please help I appreciate it
Answer:
A
Step-by-step explanation:
g(x) got smaller
A - makes it thinner
B & C - move it to the left or right
D- makes it wider
Answer:
Step-by-step explanation:
#1 I
#2 D
#3 K
Which shows one way to determine the factors of x^3+5x^2-6x-30 by grouping?
[tex]\left(x^{2}-6\right)(x+5)[/tex] are the factors of the expression by grouping
Step-by-step explanation:
[tex]x^{3}+5 x^{2}-6 x-30[/tex]
We have to group the terms as,
[tex]\left(x^{3}+5 x^{2}\right)-(6 x-30)[/tex]
We can take the common factors as,
= [tex]x^{2}(x+5)-6(x+5)[/tex]
So it can be written as,
= [tex]\left(x^{2}-6\right)(x+5)[/tex]
So it was factorized by grouping.
The first two steps in determining the solution set of the system of equations, y = x2 – 6x + 12 and y = 2x – 4, algebraically are shown in the table.Which represents the solution(s) of this system of equations? (4, 4) (–4, –12) (4, 4) and (–4, 12) (–4, 4) and (4, 12)
The solution to the system of equations is [tex]\( (4, 4) \)[/tex]. Therefore the correct option is a.
Given equations:
1. [tex]\( y = x^2 - 6x + 12 \)[/tex]
2. [tex]\( y = 2x - 4 \)[/tex]
To find the solution to the system, we'll set the two equations equal to each other because they both equal [tex]\( y \)[/tex]. So:
Step 1:
[tex]\[ x^2 - 6x + 12 = 2x - 4 \][/tex]
Now we will move all terms to one side to set the equation to zero.
Step 2:
[tex]\[ x^2 - 6x + 12 - 2x + 4 = 0 \][/tex]
[tex]\[ x^2 - 8x + 16 = 0 \][/tex]
This is a quadratic equation. To solve for [tex]\( x \)[/tex], we can either factor the quadratic, use the quadratic formula, or complete the square. The equation in Step 2 seems to be a perfect square trinomial.
Step 3:
The equation [tex]\( x^2 - 8x + 16 \)[/tex] factors to [tex]\( (x - 4)^2 = 0 \)[/tex].
Step 4:
Now, we solve for [tex]\( x \)[/tex] by taking the square root of both sides.
[tex]\[ (x - 4)^2 = 0 \][/tex]
[tex]\[ x - 4 = 0 \][/tex]
[tex]\[ x = 4 \][/tex]
Now that we have the value of [tex]\( x \)[/tex], we can substitute it back into either of the original equations to solve for [tex]\( y \)[/tex]. We can use the simpler equation [tex]\( y = 2x - 4 \)[/tex].
Step 5:
[tex]\[ y = 2(4) - 4 \][/tex]
[tex]\[ y = 8 - 4 \][/tex]
[tex]\[ y = 4 \][/tex]
So the solution to the system of equations is [tex]\( (4, 4) \)[/tex]. There is only one solution because the quadratic equation had a repeated root, meaning the lines intersect at exactly one point.
The complete question is given below:
The hypotenuse of a 45°-45°-90° triangle measures 22 StartRoot 2 EndRoot units.
A right triangle is shown. The length of the hypotenuse is 22 StartRoot 2 EndRoot 2 units. The lengths of the other 2 sides are congruent.
What is the length of one leg of the triangle?
11 units
11 StartRoot 2 EndRoot units
22 units
22 StartRoot 2 EndRoot units
Length of the other leg is 22 units
Step-by-step explanation:
Step 1: The length of the other legs can be found using Pythagoras Theorem given hypotenuse = 22√2. Let the sides be x.Hypotenuse² = x² + x²
(22√2)² = 2x²
⇒ x² = 22 × 22 × 2/2 = 22 × 22
∴ x = 22 units
Answer:
C
Step-by-step explanation:
(12+4) divided by (11-7)
pemdas order of operations
Answer:
4
Step-by-step explanation:
[tex]\frac{12+4}{11-7} =\frac{16}{4} =4[/tex]