Answer:
The height is 11/2
Step-by-step explanation:
We know SA = 30n
and r = 2
We are solving for h. So plug in our values
30n = 2n(2)^2 + 2n(2)h
Multiply and square on the right side terms
30n = 8n + 4nh
Divide everything by n
30 = 8 + 4h
Subtract 8 on both sides
22 = 4h
Divide by 4 on both sides
h = 22/4 = 11/2
Check:
30n = 2n(2)^2 + 2n(2)(11/2)
30n = 8n + 22n
30n = 30n
How would you find x?
Answer:
the value of x = 61
I hope it's helps you
what is 5tx+4t=???
????????????
Answer:
t(5x + 4)
Step-by-step explanation:
im not entirely sure if this is correct
Answer:
t×(5x+4)
Step-by-step explanation:
factor out t from the expression
Anthony travels 48 miles by car in the same time it takes him to travel 12 miles on his
bike. His average rate of speed by car is 24 miles per hour faster than his average rate of speed by bike. What is the average rate of speed for both the car and the bike?
Answer:
Anthony's average speed by car is 32 miles per hour and his average speed by bike is 8 miles per hour.
Step-by-step explanation:
Let the average rate (in miles per hour) at which Anthony travels by car be c and by bike be b.
His average rate of speed by car is 24 miles per hour faster than his average rate of speed on bike. In other words:
[tex]c = b + 24[/tex]
Anthony travels 48 miles by car in the same amount of time it takes him to travel 12 miles by bike.
Recall that distance is given by the rate multiplied by the time t.
Hence, c multiplied by time t equals 48 miles:
[tex]\displaystyle ct = 48[/tex]
Likewise, b multiplied by the same time t equals 12 miles:
[tex]bt = 12[/tex]
Solve. We can multiply the second equation by four:
[tex]4bt = 48[/tex]
Substitute:
[tex]ct = 4bt[/tex]
Divide:
[tex]c = 4b[/tex]
Since c = b + 24:
[tex](b + 24) = 4b[/tex]
Solve for b. Subtract:
[tex]24 = 3b[/tex]
And divide:
[tex]b = 8\text{ miles per hour}[/tex]
Hence, Anthony bikes at an average rate of 8 miles per hour.
Since his average speed by car is 24 miles per hour faster, his average speed by car is 32 miles per hour.
In conclusion, Anthony's average speed by car is 32 miles per hour and his average speed by bike is 8 miles per hour.
blue dot located on the number line?
Answer:
it's 4/5 cause no. of division is 5 and it's on 4 place therefore it's 4/5
Answer:
4/5 is the correct answer
help please!!
angle 1 + angle 2 = ?
angle 7 + angle 8 = ?
angle 1 + angle 6 = ?
Answer:
angle 1 + angle 2 = ∠DEB
angle 7 + angle 8 = ∠NEG
angle 1 + angle 6 = ∠NEA
Solve the expression below.
14÷5
Answer:
2.8
Step-by-step explanation:
If u divide 14 into 5, you get a decimal, 2.8.
2.8
simply asking for the answer to 14 divided by 5 it is 2.8
(if anything further is required i’ll try my best to help! )
We know that corresponding angles of similar figures are congruent. Based on this example, are corresponding sides of similar figures always congruent?
Answer:
no
Step-by-step explanation:
similar figures means that the corresponding angles are congruent and the corresponding sides are similar. this means if ABCD and EFGH are similar, A=E*x, B=F*x, C=G*x, and D=H*x, so they aren't congruent
write an equation of the line passing through point (3, -1) and perpendicular to y= -x+1
am I supposed to do the picture one or the you type
please help
answer choices
A. (-5, 2)
B. (5, 2)
C. (2, -5)
D (-2, 5)
Answer:
The correct choice is option B. (5, 2)
Step-by-step explanation:
The rotation rule of 180° is = (x ,y) -> ( -x , -y) .
Coordinates of C before the rotation are ( -5 , -2) so according to the rule above they will now be = C'( 5 , 2 ) .
Therefore, the ordered pair for C' is (5, 2) after the 180 degrees rotation.
the length of a board is 2 5/8 feet long. If 5/6 of a foot is trimmed off, find the new length
Answer:
New length is 3 3/20 ft.
Step-by-step explanation:
The total board is 2 5/8 feet long. And since 5/6 of a foot is trimmed off, that means each piece of wood is 5/6 feet.
We can now set up an equation like this ---> 5/6 ⋅ x = 2 5/8
Now we're going to simplify ---> 5/6 ⋅ x = 2 5/8
5/6 ⋅ x = 21/8
(multiply both sides by 6)
5x = 63/4
(divide both sides by 5)
x = 63/20
x= 3.15
So, the new length is 3.15 feet long, or 3 3/20 in mixed fraction.
I need help on this problem
Answer:
x 1 / 2 / 3 / 4 / 5
y -3 / 3 / 11 / 21 / 33
you can figure this put by just putting the equation above in a calculator and replacing all the x's with numbers and press equal the answer is y
example
1^2 + 3(1) -7 = -3
x= 1
y=-3
and you can use those coordinates to graph them
(1,-3) (2,3) (3,11) (4,21) (5,33) and so on
7 4K ≡ ________________ (mod 100 )
(a ) 4
(b ) 2
(c) 3
( d ) 1
I assume you're asked to find [tex]7^{4k}\pmod{100}[/tex] for positive integer k. To start, notice that
[tex]7^4 \equiv 7^3\times7 \equiv 343\times7 \equiv 43\times7 \equiv 301 \equiv 1\pmod{100}[/tex]
Then for every k, we have
[tex]7^{4k} \equiv (7^4)^k \equiv 1^k \equiv 1 \pmod{100}[/tex]
What is 687 divided by 14
Answer:
49.0(714285) or 49 and remain 1
Step-by-step explanation
687/14 = 49
49*14 = 686
687 - 686 = 1
49 and remain 1 (Remain Method)
1/14 = .0714285714285714285.... => .0(714285)
Now add 49 to the result, we get 49.0(714285)
Good luck!
A toaster that sells for $62 is on sale for 35% off. Identify the sale price.
Answer:
40.3
Step-by-step explanation:
62×(1-35%)= 40.3
100% - 35% = 65%
The toasters sale price is 65% of the original price:
$62 x 0.65 = $40.30
Sale price = $40.30
8+ 2/3k-4/15k-1/4
Omg I can never figure this out need help
Answer:
2/5k + 31/4
Step-by-step explanation:
8+ 2/3k-4/15k-1/4
2/3k - 4/15k + 8 - 1/4
(5)(2/3k) - 4/15k + 8 - 1/4
10/15k - 4/15k + 31/4
6/15k + 31/4
2/5k + 31/4
Solve with steps:
2 cos(x) = square root 3 = 0 0
PLEASE HELP ME...DUE IN 10 MINUTES
Estimate the measure of each angle a-d
Answer:
V = 315 degrees
K = 280 degrees
Y = 190 degrees
Q = 225 degrees
Step-by-step explanation:
since its estimated its ok if im a little wrong right?
Bottom half starting from “Given: XY = x + 6”
Problem 22
Answer: x = 7-----------------------
Explanation:
Segments XY and YZ add up to segment XZ
XY + YZ = XZ
(x+6) + (3x+1) = 5x
4x+7 = 5x
7 = 5x-4x
7 = x
x = 7
===============================================================
Problem 23
Answer: XY = 13-----------------------
Explanation:
We'll use the result in the previous problem to find that,
XY = x+6
XY = 7+6
XY = 13
===============================================================
Problem 24
Answer: YZ = 22-----------------------
Explanation:
Similar to problem 23, we'll use the value of x = 7 to find that,
YZ = 3x+1
YZ = 3*7+1
YZ = 21+1
YZ = 22
===============================================================
Problem 25
Answer: XZ = 35-----------------------
Explanation:
We have two options. We could add the results of the last two problems
XZ = XY + YZ = 13+22 = 35
Or we could compute XZ directly like so
XZ = 5x = 5*7 = 35
Either way, we get the same result. The fact we get the same value both times helps confirm we have the correct x value and the correct lengths of XY and YZ.
Answer:
x = 7XY = 13YZ = 22XZ = 35Concept:
Here, we need to know the idea of the segment addition postulate.
The segment addition postulate states the given 2 points A and C, a third point B lies on the line segment AC if and only if the distances between the points satisfy the equation AB + BC = AC. In another word, if 3 points A, B, and C are collinear and B is between A and C, then AB + BC = AC.
If you are still confused, please refer to the attachment below for a graphical explanation.
Solve:
Given information
XY = x + 6
YZ = 3x + 1
XZ = 5x
Given expression deducted according to the segment addition postulate
XY +YZ = XZ
Substitute values into the expression
x + 6 + 3x + 1 = 5x
Combine like terms
4x + 7 = 5x
Subtract 4x on both sides
4x + 7 - 4x = 5x - 4x
x = 7
Find the value of XY
XY = x + 6 = (7) + 6 = 13
Find the value of YZ
YZ = 3x + 1 = 3 (7) + 1 = 22
Find the value of XZ
XZ = 5x = 5 (7) = 35
Check:
Left-hand side: XY + YZ = 13 + 22 = 35
Right-hand side: XZ = 35
35 = 35
Hope this helps!! :)
Please let me know if you have any questions
(s) 3(x+ 4) = 4(x-3)
Answer:
x =24
Step-by-step explanation:
3(x + 4) = 4(x -3)
3x + 12 = 4x -12
add 12 to both side
3x + 24 = 4x
subtract 3x
24 = x
6+ 1 ( 7x17 )-7
im stuck
Answer:
118
Step-by-step explanation:
6+1(7×17)-7
=6+1(119)-7
=6+119-7
=125-7
=118
Please mark me brainliest.
Answer: 118
Step-by-step explanation:
Given expression
6 + 1 (7 × 17) - 7
Simplify values in the parentheses
=6 + 1 (119) - 7
Simplify by multiplication
=6 + 119 - 7
Simplify by addition/subtraction
=125 - 7
=[tex]\boxed{118}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
. Define opposite numbers.
Answer:
Opposite numbers are numbers that, when placed on a number line, are the exact same distance away from the 0, but on opposite sides, or in opposite directions. They look the same except for their signs.
this is based off what I know I hope it helps
Convert the improper fraction to a mixed number. 32/3
Answer:
32/3 = 10 2/3
Step-by-step explanation:
(x−2) 2 +(x+8) 2 =10
Please Explain ASAP
Answer:
x= -0.5
Step-by-step explanation:
2x-4+2x+16=10
4x+12=10
4x=-2
x=-1/2
Step-by-step explanation:
(x-2) 2 +(x+8) 2 = 10
x-2 + 2× x 2×8 + 2 = 10
x - 2 + 2x + 16 + 2 = 10
x + 2x + 16 - 2 + 2 = 10
3x + 16 = 10
3x = 10-16
3x = -6
3x÷3x = 6 ÷ 3
x = -2
please help easy maths gradient thanks so much
Answer:
Y-2x=8
Y-x=8/2
Yx=4
Maths gradients
Answer:
b
Step-by-step explanation:
IN NEED OF HELP LIKE ASAP!
Answer:
Below
Step-by-step explanation:
2^-3 / 2^2 is equal to 1 / 2^5
Write the expression in exponential form
2^-5 = 2^-5
Set the exponents as equal
-5 = -5
So this is true
Hope this helps! Best of luck <3
Sofia is driving to Texas. She travels at 70 kilometers per hour for 2 hours, and 63 kilometers per hours for 5 hours. Over 7 hours time period what was sofia's average speed ?
Answer:
65 kph
Step-by-step explanation:
There were a total of 7 hours. So two hours were at 70 and the other 5 hours at 63: the equation would be: (70+70+63+63+63+63+63)/7=65
The value of 45 is between what two numbers?
A.between 3 and 4
B.between 6 and 7
C.between 22 and 23
D.between 44 and 46
Answer:
D this will be your answer
d.between 44 and 46
for sure it is the correct answer
please guys help me i dont understand
Answer:
140
Step-by-step explanation:
For every 2 hours, the number goes up 140 miles.
Note: it does not ask for the MPH, it asks for Rate of Change.
Rate of Change is asking for the difference between numbers from one circumstance to the next. For example, in this question, as the table goes up 2 hours in each section, so does miles traveled. Calculate the difference in miles driven for each section to concur that the Rate of Change is 140.
Answer:
70 mph
Step-by-step explanation:
The rate of change is measured as the ratio of the difference between any 2 ordered pairs from the table
Using (4, 280 ) and (6, 420 ) , then
rate of change = [tex]\frac{420-280}{6-4}[/tex] = [tex]\frac{140}{2}[/tex] = 70 mph
Si por cada 45 alumnos
en la escuela hay 6 maestros
¿ Cuántos maestros' hay si el total
de alumnos es 3,500?
Pls help I need it I’m really confused
The equations are alike because all of their variables are equivalent to 6. Another similarity is that they are all one-step equations, meaning they can be solved with just one operation.
[tex]4a=24\\a=6[/tex]
[tex]c-1.2=4.8\\c=6[/tex]
[tex].5b=3\\b=6[/tex]
[tex]d + 5.5=11.5\\d=6[/tex]
These equations are different because require different operations to find their variables. Their terms, excluding the variable, also have differnt values.
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