Answer:
Step-by-step explanation:
Triangle ABC is a 45-45-90 right triangle. That means that segment BC also measures 10.
The big triangle as a whole is a 30-60-90. The side length across from the 30 degree angle is 10, so the whole length of BD is 10√3. However, since we already have the length of BC as 10, then segment CD measures
10√3 -10 which is 7.32
In a 4-digit perfect square, the first two digits are the same, and the last two digits are also the same. What is the value of this 4-digit number?
Answer:
7744Step-by-step explanation:
Let the number is in the form of aabb.
We can put it as:
aabb = 11*(100a + b) = 11*(99a + a + b)The number is a perfect square so it must be divisible by 11.
It is divisible by 11 if (a + b) is divisible by 11..
On the other hand, b = 0, 1, 4, 5, 6, 9 as the last digit of a perfect square.
Also, both a and b must be within (0,9) interval.
Considering the above conditions we have options:
a,b = 2,9 or 5,6 or 6,5 or 7,4The numbers are:
2299556666557744By testing we confirm only one of them is a perfect square:
7744Its awpicture please help if you can
Write an inequality and show on a number line all numbers:
less than 4 but greater than or equal to 0
Answer:
the inequality is 0<x<4
Step-by-step explanation:
(0,4)
4 = t/2.5
t=?
i am not sure how to divided this... also what is t?
Answer:
"t" is not a specific thing, this is just the sign of your variable.
t = 4 × 2.5
t = 10
Given |
m || n, find the value of x.
xº
m
54°
2
Answer: 2 =
Submit Answer
attempt 1 out of 2
Pls help me I got it wrong one already
Answer:
x = 126
Step-by-step explanation:
The angles are complementary which means they sum to 180
x+54 =180
x = 180-54
x = 126
If the length of the shorter arc AB is 22cm and C is the center of the circle then the circumference of the circle
is:
Answer:
22= 2(pi)(r)(45/360)
28.01
C=176
Step-by-step explanation:
Which expressions in the picture are equivalent to (v^-1)^1/9? Choose all answers that apply:
Answer:
All of them: A, B, and C
Step-by-step explanation:
Answer:
A, B, and C
Step-by-step explanation:
Recall the exponent property [tex](a^b)^c=a^{(b\cdot c)[/tex].
Therefore,
[tex](v^{-1})^{1/9}=(v^{1/9})^-1=v^{-1/9}[/tex]
In addition, fraction exponents can be written as radicals such that:
[tex]a^{b/c}=\sqrt[c]{a^b}[/tex]
Thus, [tex](\sqrt[9]{v})^{-1}=(v^{1/9})^{-1}=(v^{-1})^{1/9}[/tex].
Therefore, answer choices A, B, and C are correct.
In the following diagram, ABCD is a parallelogram. Is AC the bisector of angle BAD? Show calculations and explain
Answer:
yes
Step-by-step explanation:
in parallelogram ,<A=<C
<C=<D
then <D=115=<C=115
X+115+30=180....TRIANGLE THEROME
X=35
so that,<A=65
<C=65
The rule of the following sequence is k = 3n − 1. What is the tenth term of the sequence?
2, 5, 8, 11, ...
b. Analyze What pattern do you recognize in this sequence?
Answer:
a. 29
b. 3 is added each time
Step-by-step explanation:
In the given rule, n represents the term number. So, when k=2, n would be 1 because it is the first term. Therefore, to find the 10th term, plug 10 in for n, then solve. The equation would look like [tex]k=3(10)-1[/tex] which equals 29.
The pattern for this type of sequence is known as the common difference because it is the amount that is added each term. You know this because when reading the sequence you can see that it is increasing by 3. Additionally, in the rule, 3 is being multiplied by n, this shows that 3 is the common difference/pattern.
Answer:
29
Step-by-step explanation:
Which expression is equivalent to d - 8 - 8d?
Answer:
−7d−8
Step-by-step explanation:
Subtract 8d from d.
What is an equation of the line that passes through the points ( − 7 , 7 )and( 3 , 7 )
Answer:
Y=7
Step-by-step explanation:
x1 y1 x2 y2
-7 7 3 7
(Y2-Y1) (7)-(7)= 0 ΔY 0
(X2-X1) (3)-(-7)= 10 ΔX 10
slope= 0
B= 7
Y =0X +7
Answer:
y = 7
Step-by-step explanation:
(x₁, y₁) = (-7 , 7) & (x₂, y₂) = (3 , 7)
y-co-ordinate are same for both points. So, the line parallel to x-axis and it's slope =0
A line that is parallel to x-axis and has a y-intercept 'c' has the equation y = c
y = 7
Hamid had gained weight he is now 88k which is 10% more then he uses to be what was his original weight
Answer:
80k
Step-by-step explanation:
let the previous weight be x
88=x + 10%of x
88=x+(10/100)of x
8800=110x
8800/110=x
x=80k
Answer: Original weight = 80 kg
Step-by-step explanation:
Given:
Current weight = 88 Kg
Gain weight rate = 10%
Solve:
Original weight = Current weight / Gain rate
Original weight = (88) / (1 + 10%)
Original weight = 80 Kg
Hope this helps!! :)
Please let me know if you have any questions
Help anyone can help me do this question,I will mark brainlest.
Step-by-step explanation:
GIVEN =
d= 49cm
[tex]\pi = \frac{22}{7} [/tex]
To find = Circumference of a circle
SOLUTION =
CIRCUMFERENCE OF THE CIRCLE = πd
[tex] \frac{22}{7} \times 49[/tex]
= 22 × 7
154cm
the circumference of the given circle is 154cm
Answer:
Step-by-step explanation:
5) diameter = d = 49 cm
Circumference = πd
[tex]= \frac{22}{7}*49\\\\= 22 *7\\\\= 154 \ cm[/tex]
6) d = 20 mm
Circumference = π* 20
= 20π mm
Will give brainliest to the first person
17’4” multiply by 17’5”
prove it if you know
(please no spam answers)
Answer:
....ans
hope it helps you
hope this help you
have a great day
Radius of circle is 6 and I need help finding the angles, SUT is 39 and MOP is 49 degrees
Answer:
a. i) ∠TUV = 39°
ii) The measure of arc VTS (the minor arc) = 102°
b. The diameter OT of the circle = 12
c. The angle which we can calculate, given ∠MOP, is angle ∠OTM = 51°
i) Arc MVT = 98° and arc MO = 82°
Step-by-step explanation:
The given parameters are;
The radius of the circle = 6
∠SUT = 39°, ∠MOP = 49°
a. i) According to two tangent theory, two tangents that meet at a given point are congruent
Therefore, VU is congruent to SU
Given that PU is congruent to PU by reflexive property and PV = PS = The radius of the circle, we have;
ΔPVU is congruent to ΔPSU by Side Side Side (SSS) rule of congruency
∠SUT ≅ ∠TUV by Congruent Parts of Congruent Triangles are Congruent (CPCTC)
Therefore, ∠SUT = ∠TUV = 39° by transitive property of equality
ii) Arc VTS is the minor arc while arc VOS is the major arc by size
The arc measure that describes arc VTS is the minor arc
iii) From circle theorem, we have that the sum of the angle formed by two tangents and the minor arc equals 180°
Therefore, ∠SUT + ∠TUV + arc VTS = 180°
∴ Arc VTS = 180° - (39° + 39°) = 102°
b. The line segment length that can be calculated based on knowing the radius length includes the length of the diameter OT of the circle
The diameter OT = 2 × The length of the radius
∴ The diameter OT = 2 × 6 = 12
c. The angle ∠MOP, is an interior angle of the right triangle ΔTMO formed by the diameter of the circle, OT, therefore, given that ∠MOP = 39°, we have;
∠OTM = 90° - ∠MOP
∴ ∠OTM = 90° - 39° = 51°
∠OTM = 51°
Therefore, given ∠MOP, we can calculate angle ∠OTM
i) The arc that we can calculate, given ∠MOP are arc MVT and arc MO
Arc MVT = 2 × ∠MOP
∴ Arc MVT = 2 × 49° = 98°
Arc MO = 2 × ∠OTM
∴ Arc MO = 2 × (90° - 49°) = 82°
What is the length of segment FH?
Answer:
FH ≈ 15.20
Step-by-step explanation:
Using the Altitude- on- Hypotenuse theorem
(leg of large triangle)² = (part of hypotenuse below it ) × (whole hypotenuse )
FH² = 11 × (11 + 10) = 11 × 21 = 231 ( take the square root of both sides )
FH = [tex]\sqrt{231}[/tex] ≈ 15.20 ( to 2 dec. places )
Giving brainliest! View the image!
Answer:
a- 15 b- 1292^cm this is the answer
Can someone answer all these questions
If the perimeter is 16' the sum of the length and width must be 8'. Assuming that area is non 0 possible dimensions are:
1x7 2x6 3x5 4x4 5x3 6x2 7x1
. Ram solved 2/7 part of an exercise while Shyam solved 1/5 of it. Who solved greater part and by how much?
fast please
Step-by-step explanation:
LCM of 7 and 5 is 35
now will make the denominator equal,
10+7/35
So, Ram's work = 10/35
Shyam's work = 7/35
so
Ram > Shyam
hope it helps
What is the explicit rule for the geometric sequence?
400, 200, 100, 50,...
(I'll put the answers in a screenshot) Plzz help :(
Answer:
an = 400*(1/2)^(n - 1) which is C is the most common answer.
Step-by-step explanation:
What did you have to do to get 400 as the first term?
There are two answers.
an = 400 * (1/2)^(n - 1)
an = 400 * (1/2)^n
Which one is the answer?
The answer is the one that leaves 400 as the first term.
a1 = 400*(1/2)^(n-1) should be the answer.
400*(1/2)^n is unfortunately sometimes used. In which case, the first term is a^0
A1 = 400 (1/2)^(n - 1) is the usual for that describes the series.
GH bisects LM at K. LK = 5x+2 and LM = 64 Find x
Answer:
x = 6
Step-by-step explanation:
Since GH bisects LM at K , then
LK = [tex]\frac{1}{2}[/tex] LM , that is
5x + 2 = [tex]\frac{1}{2}[/tex] × 64 = 32 ( subtract 2 from both sides )
5x = 30 ( divide both sides by 5 )
x = 6
The value of x is 6.
Here,
GH bisects LM at K.
LK = 5x+2 and LM = 64
We have to find the value of x.
What is Bisection in line?
Bisecting a line is cutting a line exactly in half. It may also be referred to as constructing a perpendicular bisector as the line you are drawing will be at a right angle to the original line.
Now,
GH bisects LM at K.
LK + KM = LM
2 LK = LM
2 ( 5x + 2 ) = 64
5x + 2 = 32
5x = 30
x = 6
Hence, The value of x is 6.
Learn more about the Bisection of line visit:
https://brainly.in/question/10606306
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Rewrite the expression in the picture in the form y^n.
Step-by-step explanation:
here's the answer to your question
Answer:
y^(2/3)
Step-by-step explanation:
( y ^ ( 7/3) * y^ ( 1/3) ) ^ 1/4
Combine the terms in side the parentheses
a^b* a^c = a^(b+c)
( y ^ ( 7/3+ 1/3) ) ^ 1/4
( y^( 8/3) )^1/4
We know a^b^c = a^(b*c)
y ^(8/3*1/4)
y^(2/3)
without using tables or calculator, evaluate
[tex] \frac{ \sin(20 \degree) }{ \cos(70\degree) } + \frac{ \cos(35\degree) }{ \sin( 65\degree)} [/tex]
Answer->[tex] \frac{ \sin(20 \degree) }{ \cos(70\degree) } + \frac{ \cos(35\degree) }{ \sin( 65\degree)} [/tex]
we know:-[tex] \sin( \theta) = \cos(90 - \theta) \\ \\ \cos( \theta) = \sin(90 - \theta) [/tex]
So putting down the value
[tex] \frac{ \cos(90 - 20 \degree) }{ \cos(70\degree) } + \frac{ \sin(90 - 35\degree) }{ \sin( 65\degree)} [/tex]
[tex] \frac{ \cos(70\degree) }{ \cos(70\degree) } + \frac{ \sin(65\degree) }{ \sin( 65\degree)} [/tex]
[tex]\frac{\cancel{\cos(70\degree)}}{ \cancel{\cos(70\degree)}} + \frac{\cancel{\sin(65\degree)}}{\cancel{\sin( 65\degree)}} [/tex]
[tex] \frac{1}{1} + \frac{1}{1} \\ 1 + 1 = 2 \: \: ans[/tex]
What is the area of the circle?
Answer:
363
Step-by-step explanation:
Formula for area of a circle
A = πr^2
Where r = radius
The circle has a given radius of 11
To find the area of the circle we simply substitute r in the formula with the value of the radius (11)
( Also note that the question says to use 3 for π )
A = πr^2
π = 3
r = 11
Substitute values in formula
A = (3)(11)^2
11^2 = 121
A = 121(3)
121(3) = 363
A = 363
Find two fractions, when multiplied together make 3/4
Answer:
3/1 times 1/4, 3/2 times 1/2, 9/8 times 2/3
Answer:
1/2 & 3/2
Step-by-step explanation:
1/2 X 3/2 = 3/4
To get this answer, you need to think of two numbers which we can multiply to get 3 and two numbers which we can multiply to get 4.
Answer from Gauthmath
Solve for x. Solve for x.
Answer:
4√3
Step-by-step explanation:
This is a right triangle. When two sides are given in a right triangle, we need to use the Pythagorean Theorem to solve for the third side.
Pythagorean Theorem: a² + b² = c²
The a here is 11, while the b is x. The c is always the hypotenuse (the longest side), which is 13.
Now we substitute:
11² + x² = 13²
121 + x² = 169
-121 -121
x² = 48
√x² = √48
x = √48 <-- We can simplify that.
√48 = 12 * 4 = 3 * 4 * 4 = 4√3
Hello !
Answer:
[tex]\boxed{\sf x=4\sqrt 3}[/tex]
Step-by-step explanation:
It is a right-angled triangle. To find the value of x, we will have to use the Pythagorean theorem which says that the lengths of the sides of a right-angled triangle satisfy the following equality :
[tex]\boxed{\sf c^2=a^2+b^2}[/tex]
Where :
c represents the length of the hypotenuse.a,b represents the lengths of the other two sides.In this triangle, we can consider a = 11, b = x, and c = 13.
Let's substitute the values of a, b, and c into the formula.
[tex]\sf 13^2=11^2+x^2[/tex]
Now we have to solve the equation to find the value of x.
Let's subtract 11² from both sides and calculate.
[tex]\sf 13^2-11^2=11^2-11^2+x^2\\x^2=13^2-11^2\\x^2=169-121\\x^2=48[/tex]
Reminder : if x² = a (a ≥ 0), then x = ±√a.
Let's apply that to our equation.
[tex]\sf x=\pm \sqrt{48}[/tex]
x represents a distance, it must be positive. The unique solution is:
[tex]\sf x=\sqrt{48}\\\boxed{\sf x=4\sqrt 3}[/tex]
Have a nice day ;)
Factor the polynomial expression 4x3 - 4.
==================================================
Work Shown:
4x^3 - 4
4(x^3 - 1)
4(x - 1)(x^2 + x + 1)
In the last step, I used the difference of cubes factoring formula which is
a^3 - b^3 = (a - b)(a^2 + ab + b^2)
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