Answer:
0.48 is ......
[tex]0.48 < 2.1[/tex]
What is the total surface area of the square pyramid below?
14 cm
10 cm
10 cm
O 100 cm
O 200 cm
O 280 cm?
O 380 cm?
a
Answer:
D
Step-by-step explanation:
380
Identifying linear pairs and vertical angles
Answer:
a. linear pair 5 & 6
b. pair of vertical angles 5 & 2
c. pair of angles that are congruent 3 & 8
Step-by-step explanation:
A linear pair of angles is formed when two lines intersect.
Vertical angles are a pair of non-adjacent angles formed by the intersection of two straight lines. In simple words, vertical angles are located across from one another in the corners of the "X" formed by two straight lines.
If two angles are complements of the same angle (or congruent angles), then the two angles are congruent. All right angles are congruent.
c=1/21.22.23+1/22.23.24+................+1/200.201.202
. = là dấu nhân
It looks like you have to find the value of the sum,
[tex]C = \displaystyle \frac1{21\times22\times23} + \frac1{22\times23\times24} + \cdots + \frac1{200\times201\times202}[/tex]
so that the n-th term in the sum is
[tex]\dfrac1{(21+(n-1))\times(21+n)\times(21+(n+1))} = \dfrac1{(n+20)(n+21)(n+22)}[/tex]
for 1 ≤ n ≤ 180.
We can then write the sum as
[tex]\displaystyle C = \sum_{n=1}^{180} \frac1{(n+20)(n+21)(n+22)}[/tex]
Break up the summand into partial fractions:
[tex]\dfrac1{(n+20)(n+21)(n+22)} = \dfrac a{n+20} + \dfrac b{n+21} + \dfrac c{n+22}[/tex]
Combine the fractions into one with a common denominator and set the numerators equal to one another:
[tex]1 = a(n+21)(n+22) + b(n+20)(n+22) + c(n+20)(n+21)[/tex]
Expand the right side and collect terms with the same power of n :
[tex]1 = a(n^2+43n+462)+b(n^2+42n+440) + c(n^2+41n + 420) \\\\ 1 = (a+b+c)n^2 + (43a+42b+41c)n + 462a+440b+420c[/tex]
Then
a + b + c = 0
43a + 42b + 41c = 0
462a + 440b + 420c = 1
==> a = 1/2, b = -1, c = 1/2
Now our sum is
[tex]\displaystyle C = \sum_{n=1}^{180} \left(\frac1{2(n+20)}-\frac1{n+21}+\frac1{2(n+22)}\right)[/tex]
which is a telescoping sum. If we write out the first and last few terms, we have
C = 1/(2×21) - 1/22 + 1/(2×23)
… … + 1/(2×22) - 1/23 + 1/(2×24)
… … + 1/(2×23) - 1/24 + 1/(2×25)
… … + 1/(2×24) - 1/25 + 1/(2×26)
… … + … - … + …
… … + 1/(2×198) - 1/199 + 1/(2×200)
… … + 1/(2×199) - 1/200 + 1/(2×201)
… … + 1/(2×200) - 1/201 + 1/(2×202)
Notice the diagonal pattern of underlined and bolded terms that add up to zero (e.g. 1/(2×23) - 1/23 + 1/(2×23) = 1/23 - 1/23 = 0). So, like a telescope, the sum collapses down to a simple sum of just six terms,
C = 1/(2×21) - 1/22 + 1/(2×22) + 1/(2×201) - 1/201 + 1/(2×202)
which we simplify further to
C = 1/42 - 1/44 - 1/402 + 1/404
C = 1,115/1,042,118 ≈ 0.00106994
If p:q=3:4 and q:r=14:9, find p:r
Answer:
7/6
Step-by-step explanation:
p=3/4*q
q=14/9*r
so p=3/4*14/9r=7/6r
Two numbers have a product of −24 and a difference of 11. What are the two numbers?
Answer:
-8 and 3, or -3 and 8
Step-by-step explanation:
xy = -24
x - y = 11
x = y + 11
y(y + 11) = -24
y^2 + 11x + 24 = 0
(y + 8)(y + 3) = 0
y = -8 or y = -3
x = 3 or x = 8
the numbers are -8 and 3, or -3 and 8
Graph the relation shown in the table. Is the relation a function? Why or why not?
Answer:
what can i help u with
Step-by-step explanation:
No; the relation passes the vertical-line test. Yes; only one range value exists for each domain value
Yes; two domain values exist for range
yes; only one range value exists for each domain.
PLEASE HELP! ASAP
Sarah is five years old. When she asked her father about his age, he gave her this answer. "When you are my age, I will be 67." How old is her dad?
Her dad = 36
Sarah = 5
After 31 years sarah = 36
And her dad = 67
Answered by Gauthmath must click thanks and mark brainliest
The entrance ticket for a carnival costs $89.97, which includes a royal meal
that costs $10.85, 1 play station game, and 3 water rides (Each water ride
costs the same price). The cost of a water ride is twice as that of a play
station game. Find the cost of a water ride. Estimate to the nearest tenths.
Answer:
Cost of a play station game = $11.3
Cost of each water ride = $22.6
Step-by-step explanation:
Entrance tickets = $89.97
Royal meal = $10.85
Cost of a play station game = x
Cost of each water ride = 2x
Find the cost of a water ride
Entrance tickets = Royal meal + 1 play station game + 3 water rides
89.97 = 10.85 + 1(x) + 3(2x)
89.97 = 10.85 + x + 6x
89.97 = 10.85 + 7x
89.97 - 10.85 = 7x
79.12 = 7x
x = 79.12/7
x = 11.302857142857
Approximately to the nearest tenth
x = $11.3
Cost of a play station game = x = $11.3
Cost of each water ride = 2x
= 2(11.3)
= $22.6
PLEASE HELPPP
Which statement correctly compares the reading speed of Danika and Kevin?
A. Each hour, Kevin reads 10 fewer pages than Danika.
B. Each hour, Kevin reads 10 pages more than Danika.
C. Each hour, Kevin reads 5 fewer pages than Danika.
D. Each hour, Kevin reads 5 pages more than Danika.
Answer:
No.B is correct statement
The slope of a line is -4 and Y negative intercept is -3 what is the equation of the line written in slope intercept form
Answer:
y = mx + c
m = -4
at y intercept x = 0
(x,y) =(0,-3)
-3 = -4(0) + c
c = -3
therefore the answer is y = -4x + c
What are the solutions to the system of equations graphed below?
Answer:
The answer is B (4, 8) and (0, -8)
[tex]4x+2=2(x+6)[/tex]
Solve for x.
Answer:
[tex]x = 5[/tex]
Step-by-step explanation:
Step 1: Distribute
[tex]4x + 2 = 2(x + 6)[/tex]
[tex]4x + 2 = (2 * x) + (2 * 6)[/tex]
[tex]4x + 2 = 2x + 12[/tex]
Step 2: Subtract 2 from both sides
[tex]4x + 2 - 2 = 2x + 12 - 2[/tex]
[tex]4x = 2x + 10[/tex]
Step 3: Subtract 2x from both sides
[tex]4x - 2x = 2x - 2x + 10[/tex]
[tex]2x = 10[/tex]
Step 4: Divide both sides by 2
[tex]2x / 2 = 10 / 2[/tex]
[tex]x = 5[/tex]
Answer: [tex]x = 5[/tex]
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]x = 5[/tex]
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Solving for 'x'...}}\\\\4x + 2 =2(x+6)\\------------\\\rightarrow 4x + 2 = 2x + 12\\\\\rightarrow4x - 2x +2 = 2x - 2x + 12\\\\\rightarrow 2x + 2 = 12\\\\\rightarrow2x + 2 - 2 = 12 - 2\\\\\rightarrow 2x = 10\\\\\rightarrow \frac{2x=10}{2}\\\\\rightarrow \boxed{x = 5}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
find the lenght of the missing side:
Answer:
x=15.73292
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos theta = adj/ hyp
cos 70 = x / 46
46 cos 70 =x
x=15.73292
Answer:
15.73
Step-by-step explanation:
cos(x) = adjacent leg / hypotenuse
cos(70) = x / 46
0.342 = x / 46
0.342 x 46 = x
x = 15.73
solve for x. Round to the nearesr tenth of a degree if necessary.
Answer:
im not sure but i got 30.1
Step-by-step explanation:
[tex] \cos(x) = \frac{45}{52} \\ x = 30.1[/tex]
In the figure, p is parallel to s. Trasnversals t and w intersect at point L.
Statement
What is the missing reason in step 3?
a.) Alternate interior angles along parallel lines are congruent
b.) Alternate exterior angles along parallel lines are congruent
c.) Corresponding angles along parallel lines are congruent
d.) Vertical angles are congruent
Option C
Corresponding angles along parrellel lines are conguerent.
Answered by Gauthmath must click thanks and mark brainliest
This is for geometry, please help ASAP
Answer:
Option C,
y² = 18x, since the graph opens right
Answered by GAUTHMATH
3000 dollars is invested in a bank account at an interest rate of 7 percent per year, compounded continuously. Meanwhile, 20000 dollars is invested in a bank account at an interest rate of 5 percent compounded annually.
To the nearest year, when will the two accounts have the same balance?
9514 1404 393
Answer:
after 89 years
Step-by-step explanation:
For principal p, interest rate r, and number of years t, the two account balances are ...
a = p·e^(rt) . . . . continuous compounding
a = p(1+r)^t . . . . annual compounding
Using the given values, we have
3000·e^(0.07t) . . . . . compounded continuously
20000·1.05^t . . . . . . compounded annually
We want to find t so these are equal.
3000·e^(0.07t) = 20000·1.05^t
0.15e^(0.07t) = 1.05^t . . . . divide by 20,000
ln(0.15) +0.07t = t·ln(1.05) . . . . take natural logarithms
ln(0.15) = t·(ln(1.05) -0.07) . . . . subtract 0.07t
t = ln(0.15)/(ln(1.05) -0.07) ≈ -1.8971/-0.02121 . . . . . divide by the coefficient of t
t ≈ 89.4 ≈ 89
The two accounts will have the same balance after 89 years.
Can someone help me with this answer?
[tex](4.2 \times {10}^{5}) \times (3.2 \times {10}^{6}) = 15.54 \times {10}^{11} = 1.554 \times {10}^{12} [/tex]
I hope I helped you ^_^
Consider the function below. 74 POINTS!!!!!!!!
Which of the following functions could be the inverse of function f?
Answer:
x -2 3 8 13
f^-1(x) -1 0 1 2
Step-by-step explanation:
The inverse function has the input as the output and the output as the input
x -2 3 8 13
f^-1(x) -1 0 1 2
Answer: C
Step-by-step explanation: In this problem, we're given a function
in the form of a chart and we're asked to find the inverse of the function.
To find the inverse of a function, we simply switch
the x and y values in each point.
In other words, the point (-1, -2) becomes (-2, -1),
the point (0, 3) becomes (3, 0), the point (1, 8) becomes (8, 1),
and the point (2, 13) becomes (13, 2).
find five consecutive even integers preceding -35
Answer:
-44, -42, -40, -38, -36
Step-by-step explanation:
"preceding" requires an indication of the direction.
but I assume the usual left to right direction. in that sense the provided 5 even numbers are directly preceding -35
What is the value of y?
A. 55°
B. 850
C. 10°
D. 110°
x.(9x-1).(x+2)-x(3x-1).(3x+1)
Answer:
Sorry if i'm wrong.
=6x² + 16x - 2
Mrs Dlamini bought a 10kg bag of rice. She cooks 500g of rice per day. How many days will the bag of rice last her family
Answer:
20 days
Step-by-step explanation:
10kg= 10,000g
10,000g/500g= 20 days
Answer:
20 days
Step-by-step explanation:
1 kg=1000 grams
10 kg=10000 grams
10000÷500
=20 days
ILL GIVE POINTS!!
Suppose a triangle has two sides of length 3 and 4 and that the angle
between these two sides is pi/3 What is the length of the third side of the
triangle?
A. sqrt13
B. 4sqrt3
C. sqrt3
D. 3
Answer:
no A
Step-by-step explanation:
sqrt13 is the ans
hope it helps
5(15-7y/3)+2y=-4
solve for y and plz show steps
Answer:
75 - 35y / 3 + 2y = -4
( 75 - 35y + 6y ) / 3 = -4 [ Taking LCM ]
( 75 - 29y ) / 3 = -4
75 - 29y = -12
29y = 75+12
29y = 87
y = 3
hope that helps ✌
If mBAC = 90°, and mZDAC = 68°,
then mBAD = [?]
Answer:
22 degrees
Step-by-step explanation:
BAC=90 and DAC=68
DAC+BAD=BAC=90
so BAD=BAC=DAC
so BAD=90-68
= BAD=22 degrees
Answer:
The answer according to my calculations would be 22 degrees
Step-by-step explanation:
Fill in the box 22
9x mũ 2 + 6x + 1 cho mình hỏi câu này ạ
Answer:
can you translate in english,would be better...
answer maybe wrong because of the language but stil....
9x(2+6x+1)
=9x(9x)
81x..
The side lengths of a 30-60-90 triangle are in the ratio 1: V3 : 2. What is
sin 30°?
Answer:
A
Step-by-step explanation:
side opposite to smallest angle is smallest=1
Hypotenuse=2
sin 30=1/2
Solve for x and find the measure of angle AED and angle AEC
(not drawn to scale)
Answer:
x = 5
<AED = <AEC = 37
Step-by-step explanation:
<AEF = <AEC (Vertical angles)
6x+7=8x-3
or, 8x-6x=7+3
or, 2x=10
or, x=5
6x+7 = 37
Answered by GAUTHMATH
Answer:
x=5
AED =37
Step-by-step explanation:
The angles are vertical angles and vertical angles are equal
6x+7 = 8x-3
Subtract 6x from each side
6x+7-6x = 8x-6x-3
7 = 2x-3
Add 3 to each side
7+3 = 2x-3+3
10 =2x
Divide by 2
10/2 =2x/2
5 =x
We want the AED = 6x+7 = 6*5+7 = 30+7 = 37
which line is a graph of the equation 2x+5y=-10?
5y=-2x-10
y=-2/5x-2
Rewriting the equation to slope intercept form, you get that the slope is -2/5 and the y intercept is -2. The graph that matches that is line d.
Answer:
Line D (-5,-2)
Step-by-step explanation:
I usually just use the website, demos graphing calculator.
