Answers
Answer:
B; C; A; B
Step-by-step explanation:
So, let's go through each of the choices.
So we know that one of the angles is 60 degrees.
I) The triangle is scalene.
This might be true. Since there are 180 degrees in a triangle, and we know 60, that leaves 120 degrees. Anything two combinations of different values that add up to 120 will make the triangle scalene. However, if the two values are the same (e.g. 60;60), they it's not scalene. Thus, this might be true.
II) The other two angles add up to 120.
This must be true. The interior angles sum of a triangle is 180. Since we already know one is 60, then the other two must add up to be 180-60 or 120.
III) The other two angles are obtuse.
This cannot be true. We know that there is only 120 degrees left in the triangle. Obtuse angles are greater than 90 degrees.
Therefore, if we subtract the minimum: 120-90, we will get at most 30 left. This is not enough for another obtuse angle. The most we can have is one obtuse angle and two acute angles.
IV) The triangle is right-angled.
This might be true. Since there are 120 degrees left, the other two degrees may be 90 and 30, given us 30-60-90. This, however, doesn't have to be it. So, this statement may be true.
Related Questions
How do you solve this systems of equations problem
2r +3s=-5
6s=2r
Answers
Answer:
see explanation
Step-by-step explanation:
Given the 2 equations
2r + 3s = - 5 → (1)
6s = 2r → (2) ( divide both sides by 2 ), then
r = 3s
Substitute r = 3s into (1)
2(3s) + 3s = - 5
6s + 3s = - 5
9s = - 5 ( divide both sides by 9 )
s = - [tex]\frac{5}{9}[/tex]
Substitute this value into either of the 2 equations and evaluate for r
Substituting into r = 3s, then
r = 3 × - [tex]\frac{5}{9}[/tex] = - [tex]\frac{5}{3}[/tex]
Solution is r = - [tex]\frac{5}{3}[/tex] and s = - [tex]\frac{5}{9}[/tex]
A white-tailed deer can sprint at speeds up to 30 miles per hour. American bison can run at speeds up to 3,520 feet per minute. Which animal is faster and by how many miles per hour? There are 5,280 feet in one mile. A deer is 10 miles per hour faster than a bison. A bison is 10 miles per hour faster than a deer. A deer is 0.66 miles per hour faster than a bison. A bison is 0.66 miles per hour faster than a deer.
Answers
Answer:
In 1 minute, bison runs 3520 feet
In 60 minutes, the bison would run
3520*60 feet
211200 feet per hour.
These are equivalent to;
40 miles per hour since 1 mile is equivalent to 5280 feet.
The bison is faster by 10 miles per hour
Answer:
A bison is 10 miles per hour faster than a deer.
i took the assignment
At Little Rock School 476 students ride their bike to school. This is 85% of the total
students in the school. How many total students are in the school?
Answers
Answer:
560 students
Step-by-step explanation:
85/100=476
x= 476 x 100/85 x=560
Answer:c560 students is the answer your welcome!!!!!
Step-by-step explanation:
Write standard form, expanded form and word form at the top of the page write five numbers that are at least 8 digits long
Answers
Answer:
See Explanation
Step-by-step explanation:
1.
Standard Form: 2 * 10^8
The number is expanded as follows:
[tex]10^8 = 100,000,000[/tex]
So: [tex]2 * 10^8 = 2 * 100,000,000[/tex]
[tex]Expanded\ Form: 200,000,000[/tex]
Word Form: Two hundred million
2.
Standard Form: 3.5 * 10^7
The number is expanded as follows:
[tex]10^7 = 10,000,000[/tex]
So: [tex]3.5 * 10^7 = 3.5 * 10,000,000[/tex]
[tex]Expanded\ Form: 35,000,000[/tex]
Word Form: Thirty five million
3.
Standard Form: 9 * 10^9
The number is expanded as follows:
[tex]10^9 = 1000,000,000[/tex]
So: [tex]9 * 10^9 = 9 * 1000,000,000[/tex]
[tex]Expanded\ Form: 9,000,000,000[/tex]
Word Form: Nine billion
4.
Standard Form: 5.5 * 10^7
[tex]10^7 = 10,000,000[/tex]
So:
[tex]5.5 * 10^7 = 5.5 * 10,000,000[/tex]
[tex]Expanded\ Form: 55,000,000[/tex]
Word Form: Fifty five million
5.
Standard Form: 4.3 * 10^7
[tex]10^7 = 10,000,000[/tex]
So:
[tex]4.3 * 10^7 = 4.3 * 10,000,000[/tex]
[tex]Expanded\ Form: 43,000,000[/tex]
Word Form: Forty Three million
Simplify (36/81) raised to the power -1/2
Answers
Step-by-step explanation:
Hey, there!!
I hope you mean,
[tex] \frac{ - 1}{2} \: means \: \sqrt{} [/tex]
and
[tex]36 = {6}^{2} \: and \: 81 = {9}^{2} [/tex]
[tex]so \: \: \sqrt{ \frac{ {6}^{2} }{ {9}^{2} } } [/tex]
[tex]or \: ( { \frac{ {6}^{2} }{ {9}^{2} }) }^{ \frac{ - 1}{2} } [/tex]
so, the answer is 6/9 or, 2/3.
Hope you are searching this...
Write the equation for a parabola with a focus at (-2,5) and a directrix at y=3.
Answers
Answer:
(x+2)²=4(y-4)
or y=1/4 (x+2)²+4
Step-by-step explanation:
directrix y=3 and focus (-2,5) to find te equation of parabola we use the equation :
(x-h)²=4p(y-k)
vertex(h,k) : the vertex is half way between the focus and the directrix
y(vertex)=y(focus)+directrix/2
y=5+3/2 ⇒8/2=4
x is the same as the c of the focus =-2
vertex (-2,4)
to find the distance (p) which is the distance between the vertex and focus
p=5-4=1
substitute h=(-2), k=(4) and p=(1) in the equation : (x-h)²=4p(y-k)
(x-(-2)²=4(1)(y-4)
(x+2)²=4(y-4)
Which solid figure has 10 edges?
Answers
Answer:
The answer to this question is pentagonal prism or pentagonal pyramid.
The crosssectional areas of triangular prism and a night cylinder are congruent. The triangular prism has a helght of 5 units, and the right cylinder height of 3 unitsconclusion can be made from the given Information? The volume of the prism half the volume of the cylinder The volume of the prism is twice the volume of the cylinder The volume of the premis equal the volume of the cylinder. The volume of the is not equal to the volume of the cylinder
Answers
Answer:
The volume of the triangular prism is not equal to the volume of the cylinder
Step-by-step explanation:
Given that:
The cross sectional area of triangular prism and a night cylinder are congruent. The term 'congruent' means when two objects or shapes are placed above each other , they should both overlap exactly.
It was given that:
The triangular prism has a height of 5 units
and the right cylinder height of 3 units
The conclusion that can be drawn from this is that:
The volume of the triangular prism is not equal to the volume of the cylinder.
This is because, they do not occur in the same family. A triangular prism is a three - dimensional shape that has identical, parallel ends and parallel faces.
A triangular prism has two triangles at it ends and three rectangular faces.
The volume of the triangular prism is calculate by using the formula:
[tex]V= \dfrac{1}{2}\times b \times h\times l[/tex]
On the other hand, a cylinder is a shape with two circular ends and a curved surface.The two circular ends are congruent and both circular end posses the same cross section from one end to the other in the cylinder.
The volume of a cylinder is calculated by using the formula:
V = πr²h
Thus, we conclude that irrespective of the nature of their congruency, since the heights are different which will definitely affects their volume, the the volume of the triangular prism is not equal to the volume of the cylinder.
Add. Write your answer as a fraction in simplest form. 9/10+(−4/5)=
Answers
Answer:
1/10
Step-by-step explanation:
9/10+(-4/5)
= 9/10-4/5
=9/10-8/10
=1/10
The simplified form of the expression as a fraction is 1/10.
We have,
Expression:
9/10 + (-4/5)
Remove the parenthesis.
9/10 - 4/5
Simplify the fraction.
(9 - 8)/10
1/10
Thus,
The simplified form of the expression is 1/10.
Learn more about expressions here:
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5х + 10 = 24 + 6x – 3х
Answers
Answer:
Here, 5x + 10 = 24 + 6x - 3x
or, 5x + 10 = 24 + 3x ( 6x-3x )
or, 5x - 3x = 24 - 10
or, 2x = 14
or, x = 14/2
Hence answer is 7.
Show the following conjectures are false by finding a counterexample.
13. All prime numbers are odd.
14. If the product of two numbers is positive, then the two numbers must both be positive.
15. If the sidewalk is wet, then it has been raining.
Answers
''All prime numbers are odd."
That is incorrect because if we consider the smallest odd number, 2, is an even number. We can say that except 2, all prime numbers are odd.
14. section is wrong. For example, both numbers can be negative, so when we multiple these two, it will equals a positive value.
please help :) Write the number shown in standard notation. 5.002 x 10 to the 7 power A. 5,002,000,000 B. 50,020,000 C. 5,002,000 D. 50,020,000,000
Answers
Answer:
Hey there!
That would be 50,020,000, and choice B would be correct.
Let me know if this helps :)
What is the solution to the equation
X/6 = 4/12
X=1
x= 2
x=4
x = 6
Answers
Answer:
x = 2
because we have the same question and i got it right its hard to explain but trust me its x = 2
The solution to the given equation is 2. Therefore, option B is the correct answer.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
The given equation is x/6 = 4/12.
The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.
Now, x/6 = 4/12
By cross multiplication, we get
12x=24
⇒ x=2
The solution to the given equation is 2. Therefore, option B is the correct answer.
To learn more about the solution of an equation visit:
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Solve for w -24=-3w+21
Answers
Answer:
w = 11.25
Step-by-step explanation:
To solve this problem, we are going to move all of the terms containing the variable w to the left side of the equation and all of the constant terms (ones with numbers only) to the right side of the equation.
w - 24 = -3w + 21
To do this, we should first add 24 to both sides of the equation.
w - 24 + 24 = -3w +21 + 24
If we simplify, we get:
w = -3w + 45
Next, we should add 3w to both sides of the equation.
w + 3w = -3w + 3w + 45
4w = 45
Finally, we can divide both sides by 4.
4w/4 = 45/4
w = 11.25
Hope this helps!
What is the area of a rectangle with side lengths of 5/12 foot and
2/3 foot?
Answers
Answer:
5/18
Step-by-step explanation:
Lets write an equation:
5/12*2/3=5*2/12*3.
5*2=10,
12*3=36.
10/36=5/18
The answer is 5/18.
Hope this helps!
need help ASP. find the inverse function of f(x)=3x-4
Answers
Answer:
f (x) = 1
substitute 1 for x
f (1) = 3 (1) - 4
= 3 - 4
= -1
Answer:
[tex]y = \frac{ x + 4}{3} [/tex]
Step-by-step explanation:
Let f(x) =y
y= 3x-4
[interchanging variables]
x=3y-4
[making y the subject]
3y=x+4
Therefore the inverse of the function is
[tex]y = \frac{x + 4}{3} [/tex]
Write an expression to represent:
Eight more than the product of two and a number
x
xx.
Answers
Answer:
2x+8
Step-by-step explanation:
The mathematical expression will be;
⇒ 2x + 8
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The algebraic expression is,
⇒ '' Eight more than the product of two and a number x''.
Now,
Since, The algebraic expression is,
⇒ '' Eight more than the product of two and a number x''.
Hence, We get the mathematical expression as;
⇒ Product of 2 and number x = 2x
And, 8 more than 2x = 2x + 8
Thus, We get the mathematical expression as;
⇒ 2x + 8
Learn more about the mathematical expression visit:
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Someone help thanksss
Answers
Answer:
-9x³(x+3)(x-7)
Step-by-step explanation:
-9x^5+36x^4+189x³=
-9x³(x²-4x-21)=
-9x³(x+3)(x-7)
Find mZPQR.
help asap
Answers
======================================
Work Shown:
Angle PQR = (far arc - near arc)/2
2x+72 = ( (2x+252) - (2x+108) )/2
2x+72 = 144/2
2x+72 = 72
2x = 72-72
2x = 0
x = 0/2
x = 0
-------------
Angle PQR = 2x+72
Angle PQR = 2(0)+72
Angle PQR = 72 degrees
7m + 3mn when m = 8 and n = 14
Answers
Answer:
392
Step-by-step explanation:
If we have the expression [tex]7m+3mn[/tex] and we know the values of m and n, we can just substitute inside the expression and solve.
[tex]7\cdot8 + 3\cdot8\cdot14\\\\56+336\\\\392[/tex]
Hope this helped!
Answer:
392 is the correct answer
What type of graph is this?
not a regular graph
a regular graph
Answers
The formula for the area of a triangle is A = 12bh, where b is the base of the triangle and h is the height of the triangle. What is the length of the base if the area is 32 cm2 and the height is 4 cm?
Answers
Answer:
The base is 16 cm long.
Step-by-step explanation:
A = 1/2 * bh, we know that A = 32 and h = 4. We are solving for b so we can plug A = 32 and h = 4 into the equation to solve for b.
A = 1/2 * bh
32 = 1/2 * b * 4
32 = 2b
b = 16cm
Simplify the following expression: a + 2c − 5b − c + a − b 2a − 6b + 2c 2a − 6b + c a − 6b + c a − 5b + 2c
Answers
Answer:
=−ab2+2ac2+2ac+2a−28b+3c
Step-by-step explanation:
a+2c−5b−c+a−b2a−6b+2c2a−6b+ca−6b+ca−5b+2c
=a+2c+−5b+−c+a+−ab2+−6b+2ac2+−6b+ac+−6b+ac+−5b+2c
Combine Like Terms:
=a+2c+−5b+−c+a+−ab2+−6b+2ac2+−6b+ac+−6b+ac+−5b+2c
=(−ab2)+(2ac2)+(ac+ac)+(a+a)+(−5b+−6b+−6b+−6b+−5b)+(2c+−c+2c)
=−ab2+2ac2+2ac+2a+−28b+3c
Answer:
=−ab2+2ac2+2ac+2a−28b+3c
Answer:
B. 2a − 6b + c
Step-by-step explanation:
Took the test :)
You roll a die 3 times, what is the probability that each time you will roll at least a 5?
Answers
Answer:
3/6
Step-by-step explanation:
how do you solve this problem (x+5)²
Answers
Answer:
x = -5
Step-by-step explanation:
Solve for x:
(x + 5)^2 = 0
Take the square root of both sides:
x + 5 = 0
Subtract 5 from both sides:
Answer: x = -5
36+x=12-3x
Plz help quick
Answers
Answer:
x = -6
Step-by-step explanation:
36 + x = 12 - 3x
36 + x - 36 = 12 - 3x - 36
x = -3x - 24
x + 3x = -3x - 24 + 3x
4x = -24
4x / 4 = -24 / 4
x = -6
Answer:
x = -6
Step-by-step explanation:
36 + x = 12 - 3x
We need all terms with x on the left side.
Add 3x to both sides.
36 + x + 3x = 12 - 3x + 3x
36 + 4x = 12
We need all terms that are just numbers on the right side. Subtract 36 from both sides.
36 - 36 + 4x = 12 - 36
4x = -24
We have 4x, which means 4 multiplied by x, on the left side. We want x alone. Divide both sides by 4.
x = -6
You Walked around a circle which has diameter of hundred metre how far you worked
Answers
Answer:
314.16 metres
Step-by-step explanation:
The answer to this problem is essentially just the circumference of the circle.
The circumference, or perimeter, is denoted by C = 2πr = πd, where r is the radius (and half the diameter) and d is the diameter.
Here, the diameter is 100 metres, so plug this in for d:
C = πd
C = π * 100 ≈ 314.16 metres
The answer is about 314.16 metres.
~ an aesthetics lover
You and three friends go to the town carnival. You have a coupon for $20 off that will save your group money! If the total bill to get into the carnival was $100, how much does one regular price ticket cost?
Answers
Answer:
Regular price for 1 ticket = $30
Step-by-step explanation:
Given that a total of 4 people went to the carnival.
Total bill for the tickets = $100
Discount coupon used = $20
To find:
Cost of Regular price ticket = ?
Solution:
First of all, we need to find the regular price of tickets for 4 persons as if there was no coupon used.
If no coupon used, total bill of tickets = Total bill with coupon + Amount of coupon
Regular price for 4 tickets = 100 + 20 = $120
So, regular price for 1 ticket = Regular price of 4 tickets divided by 4
[tex]\text{Regular price for 1 ticket }= \$\dfrac{120}{4} = \$\bold{30}[/tex]
So, the answer is:
Regular price for 1 ticket = $30
Which value of n makes the equation true?
-1/2n = -8
A. -16
B.-4
C.4
D.16
Answers
if u substitute all the numbers the only one that would be 8=8 would be 16
Answer:
16
Step-by-step explanation:
Lets do a Step-by-step:
You must Solve for n:
-n/2 = -8
Multiply both sides of -n/2 = -8 by -2:
(-2 (-n))/2 = -2 (-8)
-2×(-1)/2 = (-2 (-1))/2:
(-2 (-1))/2 n = -2 (-8)
(-2)/2 = (2 (-1))/2 = -1:
--1 n = -2 (-8)
(-1)^2 = 1:
n = -2 (-8)
-2 (-8) = 16:
Answer: n = 16
Hope this helps
Which mathematical symbol would best fill in the blank to compare the two real numbers?
Answers
Answer:
<
Step-by-step explanation:
If we compare the 2 values
[tex]\sqrt{7}[/tex] ≈ 2.65
[tex]\frac{14}{5}[/tex] = 2.8
Thus we can see that 2.65 is less than 2.8, then
[tex]\sqrt{7}[/tex] < [tex]\frac{14}{5}[/tex]