Answer:
AD=27
Step-by-step explanation:
2. What are the last 2 digits of 1 + 2 + 3 + + 2005 2006
Let S be the sum. So you have
S = 1 + 2 + 3 + … + 2004 + 2005 + 2006
as well as
S = 2006 + 2005 + 2004 + … + 3 + 2 + 1
Then
2S = (1 + 2006) + (2 + 2005) + … + (2005 + 2) + (2006 + 1)
2S = 2007 + 2007 + … + 2007 + 2007
2S = 2006 × 2007
S = (2006 × 2007)/2
S = 2,013,021
which makes the last two digits 21.
Guys Help me
Does (4, 7) make the equation y = 2x + 7 true?
Answer:
false
Step-by-step explanation:
x=4andy=7
2×4+7 isnot equal to 7
Answer:
Tue equation is
y=2x+7
So, the answer is
(2,7)
And (4,7) is wrong
HELPPPP MEEEEE OUTTTTT PLEASEEEE ASAPPPP!!!!
Answer:
sin X =35/37
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin X = opp side / hypotenuse
sin X =35/37
PLEASE PLEASE PLEASE HELP. I WILL BE SO SO SO HAPPY!! WILL GOVE BRANLIEST! AND FOREVER BE SO HAPPY! POINTS!
Answer:
a
Step-by-step explanation:
follows geometric sequence. starting value is 1/3 and is multiplied by 1/3 every time
Construct 5 equivalent equations for the equation - 3 + 2x = -4.
Answer:C
Step-by-step explanation:
what is the reason for statement 8
a. third angle theorem
b. triangle proportionality theorem
c. congruent complements theorem
The equation of line a is y=-x+ 3. If line b runs perpendicular to line a and
passes through (2, 6), what would be the equation of line b?
Answer:
y = 4x -2
Step-by-step explanation:
y = 4x + b
6 = 4(2) + b
6 = 8 + b
-2 = b
Tiana uses the equation c = 21h to figure out the total amount, c, she should
charge a customer for babysitting for h hours.
a. What is the constant of proportionality? What does it mean?
b. Tiana charges $94.50 for a job. How long did she babysit for?
Show your work.
Answer:
a. The constant of proportionality is, 21
b. Tiana charges $94.50 for a job, so, c=94.50
from the given equation,
c = 21h
or, 94.50 = 21h
or, h = 94.50/21
or, h = 4.5
She babysit for 4.5 hours.
Answered by GAUTHMATH
c = 21h
94.50 = 21h
h = 94.50 ÷ 21
h = 4.5hours.
Therefore, Tiana spent 4½ hours babysitting.
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Find the volume. Leave answer in exact form (in terms of π)
Answer:
704π
Step-by-step explanation:
V = π×r²×h
= π×8²×11
= 704π yd³
5) where 2 coins are toased find the probability of getting:
1)both the coins with some place
2)both the coins with different place
3)at least one tail
5)at the most one head
Step-by-step explanation:
Let S be the sample space
S={HH, HT, TH, TT}
n(S)= 4
A: both the coins with some place
B: both the coins with different place
C:at least one tail
D:at the most one head
1) A={TT,HH}
n(A)=2
P(G)= n(A)/n(S)
= 2/4
= 1/2
2) B ={HT, TH}
n(B) = 2
P(B) = n(B)/n(S)
= 2/4
= 1/2
3) C= {HT, TH, TT}
n(C)=3
P(C) = n(C)/n(S)
= 3/4
4). D={HT, TH}
n(D) = 2
P(D) = n(D)/n(S)
= 2/4
=1/2
**HELP**
find the angle measures given the figure is a rhombus.
Answer:
m<1=74
m<2=37
Step-by-step explanation:
m<2 is the same as the other angle, 37 degrees. So now we need to find the other angle in the triangle.
37+37+x=180.
The total degree of a triangle is 180.
x=106
Subtract that from 180 to get m<1.
180-106=74
I hope this helps!
Good luck!
Given: APRS, RS=10
mZP=45º, mzS=600
Find: Perimeter of APRS
Answer:
Perimeter of ΔPRS = 35.91 units
Step-by-step explanation:
From the figure attached,
By applying triangle sum theorem in the given triangle PRS,
m∠P + m∠R + m∠S = 180°
45° + m∠R + 60° = 180°
m∠R = 75°
By applying sine rule,
[tex]\frac{\text{sinP}}{RS}= \frac{\text{sinS}}{PR}=\frac{\text{sinR}}{PS}[/tex]
[tex]\frac{\text{sin}(45^{\circ})}{10}= \frac{\text{sin}(60^{\circ})}{PR}=\frac{\text{sin}(75^{\circ})}{PS}[/tex]
[tex]\frac{\text{sin}(45^{\circ})}{10}= \frac{\text{sin}(60^{\circ})}{PR}[/tex]
PR = 12.25 units
[tex]\frac{\text{sin}(45^{\circ})}{10}=\frac{\text{sin}(75^{\circ})}{PS}[/tex]
PS = 13.66 units
Perimeter of triangle PRS = PR + PS + RS
= 12.25 + 13.66 + 10
= 35.91
Use a double-angle or half-angle identity to find the exact value of each expression
If 180° < θ < 270°, then 90° < θ/2 < 135°, which places θ/2 in the second quadrant so that sin(θ/2) > 0 and cos(θ/2) < 0.
Recall that
cos²(θ/2) = (1 + cos(θ))/2
==> cos(θ/2) = -√[(1 + (-15/17))/2] = -1/√17
and
sin²(θ/2) = (1 - cos(θ))/2
==> sin(θ/2) = +√[(1 - (-15/17))/2] = 4/√17
Then
tan(θ/2) = sin(θ/2) / cos(θ/2)
… = (4/√17) / (-1/√17)
… = -4
Caroline,Colin & Sarah share some money in the ratio 5:9:6.
In total, Caroline and Sarah receive £44. How much does Colin get?
Answer:
Caroline gets 4*5 = 20 pounds
Colin gets 9 * 4 = 36 pounds
Sarah gets 6*4 = 24 pounds.
Step-by-step explanation:
The ratios are 5x + 9x + 6x
5x + 6x = 11x
Caroline and Sarah get a total of 44 pounds. They don't get 44 pounds each.
11x = 44 Divide by 11
x = 44/11
x = 4
Colin gets 9x
x = 4
9*4 = 36
Colin gets 35 pounds.
Caroline gets 4*5 = 20 pounds
Colin gets 9 * 4 = 36 pounds
Sarah gets 6*4 = 24 pounds.
Caroline and Sarah get 20 + 24 = 44
can someone please help me with this?!?!!
Answer:
I can't help but I hope you succeed
A triangle and a parallelogram have the same base and the same area.
If the sides of the triangle are 26 cm, 28 cm and 30 cm and the
parallelogram stands on the base 28 cm. Find the height of the
parallelogram.
Answer:
12 centimeters
Step-by-step explanation:
The side lengths of the triangle are: 26, 28, and 30 centimeters
a = 26 cm, b = 28 cm, c = 30 cm
To find the area, we first must find the semi-perimeter with the following equation:
s = (a+b+c)/2
= (28+26+30)/2
= 42 centimeters
Now, to find the area, we can use Heron's formula:
A = [tex]\sqrt{s (s-a)(s-b)(s-c)}[/tex]
[tex]\sqrt{42(42-28)(42-26)(42-30)[/tex]
[tex]\sqrt{42(14)(16)(12)}[/tex]
[tex]\sqrt{112896}[/tex]
336 squared centimeters
Since the area of the parallelogram is equal to the area of our triangle:
Area of Parallelogram = Area of Triangle
base ⋅ height = 336 squared centimeters
28 ⋅ height = 336 squared centimeters
height = 336/28
height = 12 centimeters
Express 0.00506 in standard form
Answer:
[tex]5.06 x 10^{-3}[/tex]
Step-by-step explanation:
Move decimal 3 place to right.
Because the decimal was moved to right, the exponent is negative.
Graph: f(x) = 3/2 (2)x
Step 1: Calculate the initial value of the function.
f(0)=
Answer:
Step 1: 1.5
Step 2: Plot the points (0, 1.5)
Step 3: 3, then 0.75
Step 4: Plot the points (1, 3) and (-1, 0.75)
Step 5: y=0
Step-by-step explanation:
Ur welcome and have a nice day :>
The initial value of the function f(x) = 3/2 (2)^x is 3/2
How to calculate the initial value of the function?The function expression is given s:
f(x) = 3/2 (2)^x
Substitute 0 for x
f(0) = 3/2 (2)^0
Evaluate the exponent
f(0) = 3/2 * 1
Evaluate the product
f(0) = 3/2
Hence, the initial value of the function is 3/2
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Can someone help me please ?
Answer:
I would say D is your answer
Step-by-step explanation:
Answer:
the fourth one
use mathaway its like my best friend for math!!!
Step-by-step explanation:
Anyone knows the answer?
Answer:
D) (2,-1)
Step-by-step explanation:
These are two concentric circles of radius 3 and 4 at the origin. That means that any point within the inner is also within the outer. So focusing on the inner, the points plugged into its equation must be less than or equal to the radius squared or 9. That is only valid with point D.
Solve the following quadratic function
by utilizing the square root method.
y = 100 – x2
Answer:
x = ± 10
Step-by-step explanation:
To solve the equation let y = 0 , that is
0 = 100 - x²( add x² to both sides )
x² = 100 (I take the square root of both sides )
x = ± [tex]\sqrt{100}[/tex] = ± 10
Then solution is x = - 10, x = 10
Answer:
10
Step-by-step explanation:
the guy on top put -10 he's right but it's just 10
Which segment is the hypotenuse?
Answer:
SU
Step-by-step explanation:
The hypotenuse is opposite the right angle
The hypotenuse is US or SU
We have to pick,
The segment which is hypotenuse,
Hypotenuse will be the opposite segment of the right angle.
Now it will be,
→ SU (or) US
Hence, SU is the hypotenuse.
△ABCis reflected to form △A′B′C′. The vertices of △ABC are A(3, 1), B(1, 5), and C(6, 9). The vertices of △A′B′C′ are A′(−1, −3), B′(−5, −1), and C′(−9, −6). Which reflection results in the transformation of △ABC to △A′B′C′? Reflection across the x-axis reflection across the y-axis reflection across y = x reflection across y=−x I NEED HELP PLS The answer choies are: A. Reflection across the x-axis B. Reflection across the y-axis C. Reflection across y = x D. Reflection across y=−x
Answer: D) reflection across y = -x
Explanation:
When we reflect over y = x, we basically swap x and y. So for instance, the point (3,1) becomes (1,3).
When reflecting over y = -x, we will do the same thing but we'll make each coordinate swap in sign from positive to negative (or vice versa). The rule for reflecting over y = -x is [tex](x,y) \to (-y,-x)[/tex]
So if we apply that rule to point A(3,1) then it becomes A ' (-1, -3).
Similarly, B(1,5) moves to B ' (-5, -1)
Finally, C(6,9) becomes C ' (-9, -6)
help pls with explanation!!!
Answer:
18c - 30d + 36
Step-by-step explanation:
To apply the distributive property, we must "distribute" (multiply) the outer term by the terms in the parentheses. In this case, the outer term is 6, and the inner terms are 3c, 5d, and 6. Then, if there's any like terms, you must combine them.
6(3c - 5d + 6)
(6 · 3c) + (6 · -5d) + (6 · 6)
18c + -30d + 36
As you can see, there's no like terms in this expression, so the equivalent expression to 6(3c - 5d + 6) is 18c + -30d + 36.
Help!!
I think I got these wrong, so please help!! Thank you!
Answer:
(x+3)(x+4)(x-4)
x+2 and x-3 are not factors but x-4 is
Step-by-step explanation:
let's factor it :)
x^3 + 3x^2 - 16x -48
first we will factor this:
x^3 + 3x^2
x^2(x + 3)
then factor the second part :
- 16x - 48
-16(x + 3)
so now,
x^2(x + 3) - 16(x + 3)
factor out x+3
(x+3)(x^2 - 16)
factor x^2 - 16
(x+3)(x+4)(x-4)
SOMEONE HELP ME PLEASE
Decide if the following scenario involves a permutation or combination. Then find the number of possibilities.
You are setting the combination on a five-digit lock. You want to use the numbers 12345 but you don't care what order they are in.
Answer:
It's a combination, BUT...
Step-by-step explanation:
Definition: A combination is a grouping of outcomes in which the order does not matter. That's the difference between combination and permutation.
Combination Formula: nCr = (n!)/[r!(n-r)!)] where n stands for number of things and r the pair chosen
Applied to this case: We have n=5 (12345) and r=5 for the 5-digit lock combination.
5C5 = (5!)/[5!(5-5)] = 1
But!! As you can see, we cannot have 1 possible combinations so.. We have to assume that this is a permutation!!! Conceptually, this looks pretty much like a combination, but being the same range as number of items, we conclude that it's a permutation.
Permutation Formula: nPr = (n!)/(n-r)!
nPr = (5!)/(5-5)! = 120
Well, this looks way more accurate now, right?
Final Answer: The scenario involves a permutation, and there's 120 possible combinations of those 5 numbers in a 5-digit lock.
Estimate the product of 32 and 19 ?
Answer:
608
Step-by-step explanation:
32 x 19
= 32 x ( 10 + 9 )
= 320 + 288
= 608
Instructions: Find the measure of the indicated angle to the nearest degree.
Step-by-step explanation:
I don't have a calculator with me right now but I can give you the equation to work out your answer.
cos-1(35/38)
There should be a function of "cos-1" on you're calculator, not just "cos"
hope it helps :)
Can anyone help me please
Answer:
1
Step-by-step explanation:
Basically you just need to find the square root of all of them
36=6 -1=1 9=3 . -1=1
6-1-3-1=1
If m ≠ 1 and mn - 3 = 3 - n , then what is the value of n?
A) 6/ m+1
B) 6/ m-1
C) 6/ m+n
D) 6/ m-n
[tex]n = \frac{6}{m + 1} [/tex]
Hope it helps you...
The value of n is n= 6/( m+1).
What is expression?An expression is a set of terms combined using the operations +, – , x or , /.
Given:
mn - 3 = 3 - n
mn + n = 6
n(m+ 1) =6
n= 6/( m+1)
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