15 unique triangles can be made.
Step-by-step explanation:Given : A triangle has one angle measures 60° and another angle is an obtuse angle .
To find : How many unique triangles can be made ?
Solution : Since we know, that sum of all three angle of a triangle is 180°,
One angle is 60°,
Second angle is obtuse angle(means angle is greater than 90°) then the third angle is acute angle(means less than 90°) .
60 + O + A = 180°
O + A = 180 - 60°
= 120°
90 + A + A = 120°
A + A = 120 - 90
= 30°
This means the third angle is sum of two acute angle is 30°.
So, The possible sum is (1+29),(2+28),(3+27),........(15+15)
Therefore, The possible ways the triangle can form is 15 ways.
Hence, 15 unique triangles can be made.
A simple and a similar answer -
More than 2 unique triangles can be made where on angle measure 60 degrees and another angle is obtuse.
Hope my answer helps you.
:)
Please mark my answer as the BRAINLIEST. Plssssssssssssssss
My answer is the first one and a very briefly explained.
I need help can anyone one please explain this to me please and thank you
Answer:
The answer is A
Step-by-step explanation:
y=mx+b is the point slope form and is the form that is used on the equation.
The slope is mx, or in this case 1x. If you're simply looking for a shift in the line, then the slope has to be the same, so we know that b is not the answer. The y-intercept is b, or as the problem's equation shows, 2. The y-intercept is where the line crosses the y-axis (the vertical axis). Since you're looking for a shift downwards, you need the y-intercept to be lower than 2. The only one that matches that is option A.
Hope this helps!
Solve the following:
Answer:
1) x = 17
2) y = -0.5
3) m= 20
4) -1.5
5) -1
6) -7.2
Step-by-step explanation:
1) 12=5=17
2) 2 times -.5 = -1 minus 4 = -5
3) 8+ 12 = 20
4) -.75 divided by .5 = -1.5
5) first 2 negatives cancel out leaving you with the last -1
Answer:
1. 17
2) -0.5
3) 20
4) -1.5
5) -1
6) -7.2
Please answer the question
Answer:
144
Step-by-step explanation:
Substitute x with 12 then times 6 by 12 then add 72 to get 144
This quarter circle has a radius of 6 cm. What is approximate area of this figure? Use 3.14 for pi. Round to the nearest hundredth.
Answer:
probably my last question for the day but the answer is 28.26 square centimeters.
Step-by-step explanation:
The formula to find the area of a quarter circle is:
A = (1/4)πr^2
where A is the area and r is the radius.
Substituting the given values:
A = (1/4) × 3.14 × 6^2
A = 28.26
Rounding to the nearest hundredth, the approximate area of the figure is 28.26 square centimeters.
hey! i understand how to get c, but i dont understand how to get A and B
i dont really need the answer, but may someone explain please?
Answer:
B= (27,0)
A= (34,14)
Step-by-step explanation:
The point where the right angle is (34,0). B would be halfway between this and (20,0). It would be 20+34=54 then 54/2. This is 27. (since it lies on y=0, it's just y=0). The point is (27,0).
A is halfway between (34,0) and (34, 28). They have the same X point, so it would be the middle of 28 and 0. 28+0=28, then 28/2= 14. A would be (34,14).
Which angle is adjacent to ADB?
Answer:
[tex]\large\boxed{\tt \angle ADC}[/tex]
Step-by-step explanation:
[tex]\textsf{We are asked for which angle is \underline{Adjacent} to} \ \tt \angle ADB.[/tex]
[tex]\large\underline{\textsf{What are Adjacent Angles?}}[/tex]
[tex]\textsf{Adjacent Angles are 2 angles that share a common vertex. These angles are}[/tex]
[tex]\textsf{referred to as angles next to each other. Note that it's only possible for an angle to}[/tex]
[tex]\textsf{be Adjacent with another angle if both angle share a common vertex.}[/tex]
[tex]\textsf{Consider noting as well that Adjacent Angles always have to have a common line}[/tex]
[tex]\textsf{segment. This means that one 'arm' of an angle has to be an arm of another.}[/tex]
[tex]\textsf{*Adjacent Angles don't overlap!}[/tex]
[tex]\underline{\textsf{Review of what a Vertex is;}}[/tex]
[tex]\textsf{A Vertex is an intersection point mainly created by lines, or line segments.}[/tex]
[tex]\large\underline{\textsf{Identifying the Adjacent Angle;}}[/tex]
[tex]\textsf{Our focus should be on} \ \tt \angle ADB. \ \textsf{We are trying to find the Adjacent Angle of} \ \tt \angle ADB.[/tex]
[tex]\textsf{We have 2 options to choose from, and they are;} \ \tt \angle ADC \ or \ \measuredangle BCD.[/tex]
[tex]\tt \measuredangle BDC \ \textsf{is a Right Angle, and is greater than} \ \tt \angle ADB. \ \textsf{Hence,} \ \tt \angle BDC \ \textsf{is incorrect.}[/tex]
[tex]\textsf{This leaves our final, and correct option;} \ \tt \angle ADC.[/tex]
[tex]\tt \angle ADB \ and \ \angle ADC \ \textsf{are Adjacent Angle for multiple reasons. Note that these angles}[/tex]
[tex]\textsf{are next to each other, they share the same Vertex point, and they share a common}[/tex]
[tex]\textsf{side/arm which is} \ \overrightarrow{\tt DA}.[/tex]
Please hurry!!
State the coordinate of the image of the given point B (-10, -6) under a dilation with the center at the origin with the given scale factor
Answer: I believe you just multiply each point by 1/2. So -10/2=-5 and -6/2=-3
So point b will be(-5,-3)
if not im not sure
Answer:same as them
Step-by-step explanation:
Which comparison is not correct?
-8 < |-4|
|-2| < |-9|
|-7| > -9
|8| > |-9|
PLS HURRY
Answer:
Step-by-step explanation:
how is donation sorting indirect service?
Donation sorting can be considered indirect service because it does not involve direct interaction with the intended beneficiaries of the donations. Instead, it involves organizing, categorizing, and preparing donated items for distribution to those in need. While donation sorting may not involve face-to-face interactions with the people being served, it is still an important aspect of the service process because it helps to ensure that donated items are distributed in an organized and efficient manner, and that they reach the people who need them the most. By volunteering in donation sorting, individuals can indirectly contribute to the betterment of their community and the well-being of those who are less fortunate.
Identify the coefficient the expression 4x + 3y - 16.
again i really need the help
Answer:
the coefficient of 4x is 4
Step-by-step explanation:
The coefficients in the expression 4x + 3y - 16 are:
The coefficient of x is 4
The coefficient of y is 3
The coefficient of the constant term (without a variable) is -16
Therefore, the coefficient of 4x is 4.
The diameter of a hat is 6.8 inches. What is the distance around the hat using π = 3.14? Round to the hundredths place.
2.17 inches
10.68 inches
21.35 inches
36.29 inches
Answer:
21.35 inches
Step-by-step explanation:
Hello!
The distance around the hat is also called the circumference (the perimeter of a circle). To find this, we use the formula: [tex]C = 2\pi r[/tex], where r is the radius.
If we don't have a given radius when solving for circumference, we can use the diameter, and then the formula would change to [tex]C = \pi D[/tex] (2r is the same as D), where D is the diameter.
Given that the diameter is 6.8, and the desired value of Pi is 3.14, we can solve for the circumference.
Solve for the Circumference:C = πDC = (3.14)(6.8)C = 21.352 ≈ 21.35The circumference is approximately 21.35 inches.
Please create a table for this puzzle
becky todd henry beth all are going to a in door playplace they can focus on wall running a zipline arcade or foodcourt.beth wants to go to the food court todd likes movement becky likes to run.henry likes video games
henry, arcade
beth food court
todd zipline
becky wall run
Answer:
Step-by-step explanation:
Henry- arcade
todd- zipline
beth- food court
Becky- wall run
Which expression is equivalent to (4x – 5) – (-3x + 4)?
Answer:
(4x – 5) – (-3x + 4) can be simplified by distributing the negative sign to the terms inside the parentheses:
(4x - 5) + (3x - 4)
We can then combine like terms by adding the coefficients of x and the constants:
7x - 9
Therefore, the expression that is equivalent to (4x – 5) – (-3x + 4) is 7x - 9.
Which angles are complementary to DFE? Select all that apply.
Answer:
BFA
Step-by-step explanation:
NEEDED ASAP. THANK YOU.
Match the equation with the graph.
what is the surface area of a rectangular prism with a length of 36 a width of 15 and a height of 20.4 show work please
Answer:
Step-by-step explanation:
the formula is 2(WL+HL+HW)
width=w
h=height
l=length
if we were to substitute in these given numbers the equation would become:
2(15*36+20.4*36+20.4*15)
=3160.8
hope it helps.
PLEASE HELP DUE TODAY 25 POINTS:
Answer:
1) x = -11
2) x= -9
3) x = -1
4) x = 32
5) x = 11
Step-by-step explanation:
Answer:
Step-by-step explanation:
11. -1= (5+x)/6 : to get rid of the 6 on the bottom multiply to both sides.
-6=5+x : subtract 5 to both sides
-11 = x
12. 2/3x + 2 = -4 : subtract the 2 to both sides
2/3x = -6 : divide 2/3 to both sides
x= -6/(2/3)
x=-9
13. 7x+2.5=-4.5 : subtract 2.5 to both sides
7x= -7 : divide by 7 to both sides
x= -1
14. 8-3/8x= -4 : subtract 8 to both sides
-3/8x = -12 : divide both sides by -3/8
x=32 : two negatives make a positive
15. -3x - 5 = -38 : add 5 to both sides
-3x=-33 : divide both sides by -3
x= 11 : two negatives make a positive
CAN SOMEONE HELP ME PLEASE ASAPPP GIVEING BRAINLYESTT!!!
you can put :they both have whole numbers
Step-by-step explanation:
help me this need to be done today
What are both outputs?
Answer:
D,B
Step-by-step explanation:
It is the only ones that can be divided by 30
Lesson quiz 7-3
Answer these questions if you guys can
Answer: i think 1 ks c
Step-by-step explanation:
Which angles are complementary to DFE? Select all that apply.
PLS ANSWER QUICK!!!!!!!!
Answer:
04) 5m
05) 1.5m
06) sorry i don't know this
Pre-Algebra 2 Brainliest if correct
Polygon D has been dilated to create polygon D′.
Determine the scale factor used to create the image.
Scale factor of 0.4
Scale factor of 2.5
Scale factor of 0.2
Scale factor of 1.2
Pre-Algebra Brainliest if correct
Polygon ABCD with vertices at A(−4, 6), B(−2, 2), C(4, −2), and D(4, 4) is dilated using a scale factor of three eighths to create polygon A′B′C′D′. If the dilation is centered at the origin, determine the vertices of polygon A′B′C′D′.
A′(−1.5, 2.25), B′(−0.75, 0.75), C′(1.5, −0.75), D′(1.5, 1.5)
A′(−12, 18), B′(−6, 6), C′(12, −6), D′(12, 12)
A′(0.75, −1.25), B′(1.6, −1.6), C′(−1.25, 1.6), D′(−0.075, −0.75)
A′(1.27, −3), B′(3.2, −3.2), C′(−0.75, 3), D′(3, 3)
Answer:
First choice: A′(−1.5, 2.25), B′(−0.75, 0.75), C′(1.5, −0.75), D′(1.5, 1.5)
Step-by-step explanation:
A(-4, 6) x 3/8 → A'(-12/8, 18/8) = A'(-1.5, 2.25)
B(-2, 2) x 3/8 → B'(-6/8, 6/8) = B'(-0.75, 0.75)
C(4, -2) x 3/8 → C'(12/8, -6/8) = C'(1.5, -0.75)
D(4, 4) x 3/8 → D'(12/8, 12/8) = D(1.5, 1.5)
EXPANDING BRACKETS -
2x(3x+2y)
Answer:
[tex]6 {x}^{2} + 4xy[/tex]
Step-by-step explanation:
Expanding brackets means multiplying every term inside the bracket by the term on the outside and then collecting like terms with the aim of removing the set of brackets
[tex]2x(3x + 2y) = 6 {x}^{2} + 4xy[/tex]
.
Step by step:
[tex]2x \times 3x = 6 {x}^{2} [/tex]
[tex]2x \times 2y = 4xy[/tex]
6x² + 4xy
Step-by-step explanation:Given equation, 2x(3x+2y)
= 2x(3x+2y)
Distributive Property
= (2x * 3x) + (2x * 2y)
= (2 * x * 3 * x) + (2 * x * 2 * y)
Rearranging like terms
= {(2 * 3 * x * x) + (2 * 2 * x * y)}
= [{(2 * 3) * (x * x)} + {(2 * 2) * (x * y)}]
= {(6 * x²) + (4 * xy)}
= (6x²) + (4xy)
= 6x² + 4xy
Please mark my answer as the BRAINLIEST. Plsssssssssssssss
Hope my answer helps you.
:)
The table shows the percent of students who are involved in extracurricular activities at Hopewell Middle School. Based on the data, how many students could you expect to join a club out of the 600 students that attend the middle school?
Answer: is there a picture of the table?
Step-by-step explanation:
write each expression without using the absolute value symbol |14-(6-x)|
THIS IS 15 POINTS PLSSSSSS HELP
Answer:We can rewrite the expression |14-(6-x)| as follows:
When (6-x) is positive, 14-(6-x) = 14-6+x = x+8
When (6-x) is negative, 14-(6-x) = 14-6+x = x+8
Therefore, we can write the expression without the absolute value symbol as:
x+8
Step-by-step explanation: We have try the two cases when 6-x is negative and when it s positive
Given:
[tex]|14-(6-x)|[/tex]
Simplify the expression:
[tex]14-6=8[/tex]
[tex]8+x[/tex]
Answer:
[tex]14-(6-x)|\longrightarrow \ \ \bold{8+x}[/tex]please help me, I really need it. thank you so much!!
Based on the surface area and cost of the boxes, the company saves $11.50 by choosing to make 50 Box 2 instead of 50 Box 1.
What is the cost of the boxes?To solve this problem, we need to calculate the surface area of each box to determine how much material is needed to make 50 of each box.
The surface area of Box 1 is:
SA1 = 2lw + 2lh + 2wh
SA1 = 2(206) + 2(204) + 2(6*4)
SA1 = 240 + 160 + 48
SA1 = 448 square inches
To convert to square feet, we divide by 144 (since there are 144 square inches in a square foot):
SA1 = 448/144
SA1 = 3.11 square feet
The cost of material for one Box 1 is:
C1 = 1.25 * SA1
C1 = 1.25 * 3.11
C1 = $3.89
The surface area of Box 2 is:
SA2 = 2lw + 2lh + 2wh
SA2 = 2(154) + 2(158) + 2(4*8)
SA2 = 120 + 240 + 64
SA2 = 424 square inches
Converting to square feet:
SA2 = 424/144
SA2 = 2.94 square feet
The cost of material for one Box 2 is:
C2 = 1.25 * SA2
C2 = 1.25 * 2.94
C2 = $3.67
To find the cost savings of making 50 Box 2 instead of 50 Box 1, we calculate the difference in cost:
Savings = (50 * C1) - (50 * C2)
Savings = (50 * 3.89) - (50 * 3.67)
Savings = $11.50
Learn more about surface area and volume at: https://brainly.com/question/28027357
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find the length and width of the rectangular field with an area of 72^2 centimeters? the total length of fence surrounding the field is 44 centimeters.
Answer: w=117.82 cm and L=44 cm
Step-by-step explanation:
72^2 = 5184 cm
5184/44 = about 117.82 cm