Answer:
6.1 cm
Step-by-step explanation:
it depends on what your teacher told you and wants to see.
because, theoretically, it would be 6.0 cm. but that would render the whole triangle into a flat line, as the 2 equal sides together (2×6 = 12) would be exactly as long as the baseline (12) of the triangle.
which is again a theoretically possible construct (counting as extreme triangle).
but it is more likely that your teacher wants the definition applied that for each combination of 2 sides this combination has to be larger (and not larger or equal) than the third side.
so, the 2 equal sides have to be larger than 6 cm.
the smallest number in your answer options to fit that criteria is 6.1 cm
just FYI - your teacher was not very precise in the phrasing, because there are many numbers smaller than 6.1 that would still be correct.
like 6.01, or 6.005, ...
Rounded to the nearest tenth, the smallest possible length is 6.1 cm.Thus, the answer is B) 6.1 cm.
In an acute isosceles triangle, the longest side is opposite the largest angle. Since the triangle is isosceles, the two congruent sides are equal in length.
In an acute triangle, the largest angle is less than 90 degrees. In an isosceles triangle, the two base angles are congruent. Therefore, each base angle must be less than 45 degrees.
Now, let's apply the triangle inequality theorem to determine the smallest possible length of one of the congruent sides. According to the theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
In this case, the longest side is 12 centimeters. Let's assume each of the congruent sides has a length of x centimeters.
Based on the triangle inequality theorem, we have the following inequality:
2x > 12
To find the smallest possible length, we divide both sides of the inequality by 2:
x > 6
Therefore, the smallest possible length of one of the two congruent sides is greater than 6 centimeters.
Rounded to the nearest tenth, the smallest possible length is 6.1 cm.
Thus, the answer is B) 6.1 cm.
To know more about congruent sides , here
https://brainly.com/question/29789999
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19. The product of two numbers is 120 and the sum of their squares is 289. The sum of the number is (a) 20 (b) 23 (c) 169 (d) None of these
Answer:
B
Step-by-step explanation:
Let the two numbers be a and b.
The product of the two is 120 and their sum of their squares is 289. In other words:
[tex]\displaystyle ab = 120 \text{ and } a^2 + b^2 = 289[/tex]
And we want to find the sum of the two numbers.
We can use the perfect square trinomial. Recall that:
[tex]a^2 + 2ab + b^2 = (a+b)^2[/tex]
From the first equation, multiply by two:
[tex]2ab = 240[/tex]
Add the two equations together:
[tex](a^2+b^2)+(2ab) = (289)+(240)[/tex]
Simplify and rewrite:
[tex]a^2+2ab+b^2 = 529[/tex]
Factor using the perfect square trinomial pattern:
[tex](a+b)^2 = 529[/tex]
And take the square root of both sides:
[tex]\displaystyle a + b = \pm\sqrt{529} = \pm23[/tex]
Hence, the sum of the two numbers is 23 or -23.
In conclusion, our answer is B.
A total of 621 tickets were sold for the school play day for the school play they were either adult tickets or student tickets it there were 71 more student to get sold then adult tickets how many adult tickets were sold
Answer:
275 student tickets and 346 adult tickets
Step-by-step explanation:
621-71=550
550÷2=275+71346
Determine whether the given value is a statistic or a parameter. A study was conducted of all 1575 workers in a certain state.
Answer:
Step-by-step explanation:
A student's cost for last semester at her community college was $2800. She spent $308 of that on books. What percent of last semester's college costs was spent on
books?
% of last semester's college costs was spent on books.
FIRST -CORRECT- ANSWER WILL GET BRAINLIEST!!
Find u.
A. 2√2
B. 2
C. 4
D. √2
Answer:
u=2 root 2
Step-by-step explanation:
All 45 45 90 degree triangles follow the same pattern
I will mark as brainliest if you can answer. :)
not enough information
union and intersection of sets
Answer:
The union of two sets contains all the elements contained in either set (or both sets). The union is notated A ⋃ B. The intersection of two sets contains only the elements that are in both sets. The intersection is notated A ⋂ B.
Answer:
UnionThe union of a set A with a B is the set of elements that are in either set A or B. The union is denoted as A∪B. For example, if A is the set {♢,♡,♣,♠} and B is the set {△,♡,♠}, then A∪B={♢,♡,♣,♠,△}.
IntersectionIntersection of two given sets is the largest set which contains all the elements that are common to both the sets. To find the intersection of two given sets A and B is a set which consists of all the elements which are common to both A and B. The symbol for denoting intersection of sets is '∩'.
Y varies directly with x and y=8 when x=-5
Answer:
Y=K×X...... equation
When,Y=8 and X=-5
To find the constant (K)
we substitute for K in the equation
8=K×-5
8=-5K divide both sides by -5
8÷-5=-5K÷-5
K=-1.6
find the area of point b??
Answer:
78.5 in^2
or
506.7 cm^2
Step-by-step explanation:
r = 5 in = 12.7 cm
Area of circle
[tex] = \pi \times {r}^{2} [/tex]
The radius of a circle is 4.6 millimeters. Find the diameter.
Hi :)
Radius is half the diameter
4.6 mm (2) = 9.2 mm
The diameter of the circle is 9.2 mm.
Find ef if e (1,-2) and f (7,6)
Estimate and solve:
67+35
89-54
Answer:
32
35
Step-by-step explanation:
hope this helps :D
Answer:
Estimate and solve:
67+35
89−54
Add 67 and 35.
102
Subtract 54 from 89.
35
List all of the solutions.
67+35=102
89−54=35
Step-by-step explanation:
(2x + 5) + (x + 4) =
Answer:
3x + 9
Step-by-step explanation:
(2x + 5) + (x + 4)
Distribute the + to all numbers/variables
2x + 5 + x + 4
Combine like terms:
2x + 5 + x + 4
3x + 5 + 4
3x + 9
Hope this helped.
Hi, can you help me with these?
It's really hard :(
Here's the Solution:
Direct Variation
Y = kx
Given:
$34=k(4)
k = 34/4
k = 17/2
Y = kx
Y = (17/2) (10)
Y = 85Hope this helps :)
Someone please help me on this!
Which statements are true about the
transformation (x,y) → (x - 1 y +4)?
A The transformation is a non-rigid
motion.
B The transformation slides the figure
to the left 1 unit and up 4 units.
C The transformation is a rigid motion.
D The transformation slides the figure to
the right 1 unit and down 4 units.
Answer:
b and c
Step-by-step explanation:
b is obvious since you can just plug In a point to solve
but c is a bit trickier a rigid motion is a transformation that doesn't change size or shape and we are just moving points which have same size so c is true.
Help please! Find the converse
Answer:
Step-by-step explanation:
The converse of ~q => ~p is ~p => ~q.
I am a prime number. I am two digits.
The sum of my digits is 8.
My tens digit is 6 less than my ones digit.
Answer:
17
Step-by-step explanation:
17 is a prime number17 has two digitsThe digits in 17, 1 and 7, add up to 8The tens digit is 6 less than the ones digit place.Answer: 17
Step-by-step explanation:
1+7=8
The ten digit is (1) 6 less than the one digit (7)
Solve for x and find the value of the unknown angle measures.
1. x=
2. m=
3. n=
4. p=
Answer:
x=20°
m=50°
n=68°
p=50°
Step-by-step explanation:
Here,we know that,
i)n=68°[being vertically opposite angle]
ii)p+62°+n=180°[being straight angle]
or, p+62°+68°=180°
or, p+130°=180°
or, p=180°-130°
thus, p=50°
iii) m=p[being vertically opposite angle]
thus, m=50°
iv)(2+3x)°=62°[being vertically opposite angle]
or, 3x°=62°-2°
or, 3x°=60°
or, x=60°÷3°
thus, x=20°
Hence, the value of x=20°, m=50°, n=68° and p=50°.
Find the surface area of a cylinder with a base radius of 2 in and a height of 5 in
Answer:
[tex]r = 2 \\ h = 5 \\ a = 2\pi \: rh + 2\pi {r}^{2} \\ = 2\pi \times 2 \times 5 + 2\pi {2}^{2} \\ = 20\pi + 8\pi \\ = 28\pi \\ = 28 \times 3.14 \\ = 87.92 {unit}^{2} \\ thank \: you[/tex]
Combine Like Terms
4. Which expression is equivalent to -9 + 8y + 12 - (-2y) + 1 ?
14y
10y
4+6y
10y+4
Answer:
10y + 4
Step-by-step explanation:
-9 + 8y + 12 - (-2y) + 1
-9 + 8y + 12 + 2y + 1
8y + 2y - 9 + 12 + 1
10y + 4
The vertical side of a right triangle measures 6 inches, and the horizontal side measures 8 inches
1.Write the ratio of the distance of the vertical side to the distance of the horizontal side as a reduced fraction
2.If the original triangle were enlarged by 3 times, what would the new dimensions be?
3.Does the ratio of vertical side to horizontal side change when scaling up? Explain.
9514 1404 393
Answer:
3/4vertical: 18 in; horizontal: 24 inno changeStep-by-step explanation:
1. The ratio is ...
(6 in)/(8 in) = 6/8 = 3/4
__
2. The scaled dimensions are ...
6 in × 3 = 18 in (vertical side)
8 in × 3 = 24 in (horizontal side)
__
3. You know from your process of reducing the fraction in part 1 that multiplying numerator and denominator by the same value does not change the reduced ratio.
Solve for x in 5x²-42-1=0, using factorization method
Answer:
x=2.932576,−2.932576
help me do this please!
Answer:
m<ABD = 37°
m<DBC = 58°
Step-by-step explanation:
m<ABD + m<DBC = m<ABC
2x + 23 + 9x — 5 = 95
11x + 18 = 95
-18 -18
--------------------
11x = 77
/11 /11
---------------------
x = 7
Now, plug this into the equation for m<ABD and m<DBC to find their values.
m<ABD = 2x + 23
= 2(7) + 23
= 14 + 23
= 37
m<DBC = 9x — 5
= 9(7) — 5
= 63 – 5
= 58
Now, check to see if our values are right or not.
2x + 23 + 9x — 5 = 95
2(7) + 23 + 9(7) — 5 = 95
14 + 23 + 63 – 5 = 95
100 – 5 = 95
95 = 95 CORRECT
Help pls i’ll also rate brainliest
Answer:b
Step-by-step explanation:
How to make 10000 by only using number 8, No matter what the operation is
BRAINLIEST will be marked
Here is the answer
[tex]\\ \sf\longmapsto 8888+888+88+88+8+8+8+8+8+8[/tex]
Similar Question .
Write 1000 using 8
Answer:-
888+88+8+8+8
Answer:
One of the options comes from this:
10000/8 = 1250It means 10000 contains 1250 of 8's:
1250 = 1111 + 139 = 1111 + 111 + 28 = 1111 + 111 + 11 + 11 + 6The 8's to make 10000 are:
10000 = 8888 + 888 + 88 + 88 + 8 + 8 + 8 + 8 + 8 + 8I need help with this homework
2x^2+ 7x+ 5= 0
Answer:
x = -1 or/and -5/2
Step-by-step explanation:
:)
Find the lower quartile for the data. {66, 70, 75, 72, 67, 68, 65, 69, 68}
A. 66.5
B. 69
C. 69.5
D. 70
Answer:
66.5 is the answer thanks
¾ + ½ =
Plz help me
I neeeeed help
answer
1.25Step-by-step explanation:
[tex] \frac{3}{4} + \frac{1}{2} [/tex]
[tex] \frac{3 \times 1 + 1 \times 2}{4} [/tex]
[tex] \frac{3 + 2}{4} [/tex]
[tex] \frac{5}{4} [/tex]
[tex]1.25[/tex]
I hope this will help you..please mark my answer as BRAINLIEST....Which compound inequality could this graph be the solution
Answer:
A. 3x+14≥ 2 or 1-x ≥-5
Step-by-step explanation:
the solutions should be x≥ -4 or x ≤6
and the right answer is :
3x + 14≥ 2
3x ≥ -12
x≥ -4
1-x ≥ -5
-x ≥ -6
x ≤ 6
A. 3x+14≥ 2 or 1-x ≥-5
HELPPPPPP!!!!!!!!!!!!!!
Answer:
7
Step-by-step explanation:
no need to panic !
it is actually totally easy.
we have the complete, big angle at U (imagine you turn VU around U into UT) = 178 degrees.
VT is almost a straight line (then that angle would be 180 degrees). but only almost ...
anyway, the other 2 angles are just parts of the big angle, and we see that together they sum up to the big angle, as there is no other space for a part of the big angle left.
so
(14x - 11) + (12x + 7) = 178
14x - 11 + 12x + 7 = 178
26x - 4 = 178
26x = 182
x = 7