Step-by-step explanation:
Perimeter is the sum of every side
6t-2 + 3t+6 + 10t+7 + 10t+4
= 6t + 3t + 10t + 10t -2 +6 +7 +4
= 29t + 15
Peter lives in Utah, which has a 5% state income tax rate. He earns $3,700 monthly.
How much state income tax is withheld from each of his paychecks?
Answer:
ask Utah not me.........
Answer:
$185 is withheld
Step-by-step explanation:
3700 x .05 is 185.
Recall the equation for a circle with center (h, k) and radius r. At what point in the first quadrant
does the line with equation y = 2x + 4 intersect the circle with radius 3 and center (0, 4)?
Answer:
[tex]\displaystyle \Big(\frac{3\sqrt{5}}{5},\frac{6\sqrt5}{5}+4\Big)[/tex]
Step-by-step explanation:
Recall that the equation for a circle is given by:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
Where (h, k) is the center and r is the radius.
Then for a center of (0, 4) and a radius of 3, our equation is:
[tex]x^2+(y-4)^2=9[/tex]
We want to know at what point does the circle intersect with the line:
[tex]y=2x+4[/tex]
Therefore, we can solve for x. To do so, substitute the linear equation into the circle equation:
[tex]x^2+((2x+4)-4)^2=9[/tex]
Simplify:
[tex]x^2+(2x)^2=9[/tex]
Square:
[tex]x^2+4x^2=5x^2=9[/tex]
Divide both sides by 5:
[tex]\displaystyle x^2=\frac{9}{5}[/tex]
Therefore:
[tex]\displaystyle x=\pm\frac{3}{\sqrt{5}}=\pm\frac{3\sqrt{5}}{5}[/tex]
In QI, x is always positive, so we only need to consider the positive case:
[tex]\displaystyle x=\frac{3\sqrt{5}}{5}[/tex]
Using the linear equation again, we can see that:
[tex]\displaystyle y=2\Big(\frac{3\sqrt{5}}{5}\Big)+4=\frac{6\sqrt{5}}{5}+4[/tex]
Therefore, the point in which a circle with center (0, 4) and a radius of 3 intersects the line with equation y = 2x + 4 in the first quadrant is the point:
[tex]\displaystyle \Big(\frac{3\sqrt{5}}{5},\frac{6\sqrt5}{5}+4\Big)[/tex]
Or approximately:
[tex]\approx (1.342, 6.683)[/tex]
And we are finished!
4a^2 - 8a = 24. I need help with this
find the equation of a line that passes through (2 -3) and that is parallel to 5x+y=-2
Answer:
y = -5x +7
Step-by-step explanation:
You will have to change the equation to equal y.
y = -5x -2
Then find the paralell line which would be be the same slope but different equation so the answer should be: y = -5x + 7 by plugging in the numbers of the point. So -3 = -5(2) + x.
Solve for X,
-3 = -10 + x, add 10 to each side
7 = x
The ratio of cats to dogs at an animal rescue is 70:63. If the ratio were to stay the same, how many dogs will there be if there are 10 cats?
Answer:
There are 9 dogs
Step-by-step explanation:
[tex] \frac{10}{x} = \frac{70}{63} \\ x = \frac{630}{70} \\ x = 9[/tex]
what is the rate of change for (2,1), (4,2), (6,3), (8,4)
Answer:
x+2 y+1
Step-by-step explanation:
or do u want working out
Please help meeeeeeeeee
Answer:
ojalá te ayude
Step-by-step explanation:
la primera
2 2/5
Sophia went out to dinner at an Indian restaurant. The total bill was $54. She wanted to leave a 15% tip. What was her total bill including her tip?
Answer:
$62.10
Step-by-step explanation:
Answer:
The tip is 8.10
The bill is 62.10
Step-by-step explanation:
Suppose you know that ∠S and ∠Y are complementary, and that m∠S = 4(m∠Y) − 210°. Find m∠Y.
Answer:
angle Y= 60 degrees
Step-by-step explanation:
angle S + angle Y = 90 degrees because they are complementary
Y = 90 - S
angle S = 4(Y)-210
substitute for Y
S = 4(90 - S) - 210
S = 360 - 4S - 210
reduce
5S = 150
S = 30
Y = 90 - 30 = 60
need help answering this question
6/7 into two decimal places.
Answer:
0.86
Step-by-step explanation:
You will get 0.85714.....
Then 0.86 is 2 dp
Calculate the perimeter and area of the following rectangles.
a. Length: 10 cm; Width: 8 cm
b. Length: 10 cm;
Perimeter
Area
Perimeter
Answer:area=l×b
10×8=80cm* 2
perimeter =(l+b)2
10+8)*2
18×2
=36cm
Step-by-step explanation:
Answer:
read the explanation
Step-by-step explanation:
For A:
Perimeter is (10+8)*2=36
Area is 10*8=80
For B:
Perimeter is 10*4=40
Area is 10*10=100
The frequency table shows the scores from rolling a dice.
Score
Frequency
Answer:
The median is 3.5
Step-by-step explanation:
We want to find the median of the set of values.
First, we need to write the set in ascending order.
We get:
1 five times
2 three times
3 five times
4 two times
5 seven times
6 four times
The median will be the midle value (for example in a set of 5 elements, the middle element is the third one) of this set, then the first part is to write the set, we get:
{1, 1, 1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6}
In this set we have
5 + 3 + 5+ 2 +7 + 4= 26 values
So we will not have a middle value, we need to take the mean of the two middle values (the 13th value and the 14th value)
We can see in the set above that these values are:
3 and 4.
Then we want to take the mean between 3 and 4.
We get:
M = (3 + 4)/2 = 3.5
The median of this set is 3.5
3. (03.01 MC)
Which expression is equivalent to 3(8 + 7)? (1 point)
24 + 7
24 + 21
11 + 10
11 + 7
Need do find the domain and range
Answer:
So
Domain: (-∞,∞)
Range: [[tex]-\frac{105}{8} ,[/tex]∞)
Step-by-step explanation:
Answer:
Domain: (-∞,∞)
Range: [-105/8,∞)
Step-by-step explanation: Hope this helps.
HELP PLEASE WILL LEAVE GOOD REVIEW.
Answer:
Step-by-step explanation:
He needs 2.5 cm of ribbon left or in easier words 6 cm..-
Chapter 6 Study Guide
Tickets for a school play cost $6 for adults and $4 for students. At the end of the play, the school sold a total of 60 tickets
and collected $360
Answer:
what is the question
Step-by-step explanation:
what is 99 time 6
[tex]99 \times 6[/tex]
Answer:
594
Step-by-step explanation:
What is the value of the expression x to the 2nd power minus (4 plus 3x) when x equal 8
A. 12
B. 36
C. 84
D. 92
Wild Water Adventure Waterslides park charges a rental fee plus $2 per hour to rent inflatable rafts. The total cost to rent a raft for 4 hours is $12.50. Assume the relationship is linear. Find the rate of change and the initial value. Then move on to part 'b' to interpret each of them.
Answer:
m = 2, initial value = 4.5 or $4.50
Step-by-step explanation:
We know that renting a raft costs 2 dollars/hr plus some rental fee that we need to find.
We also know that renting a raft for 4 hours will cost $12.50. So we can do this:
$12.50 - (2.00 [tex]\frac{dollars}{hrs}[/tex] × 4 hrs) = $4.50, which is the "b" in the standard equation for y = mx + b
So, our equation is y = 2x + 4.5
The rate of change is the slope, which is the coefficient of the x.
m = 2
Our initial value is when x = 0.
y = 2(0) + 4.5
y = 4.5
A pole tilts at an angle of 9 degrees from vertical, away from the sun. The pole casts a shadow that is 24 feet long. The angle of elevation from the end of the pole’s shadow to the top of the pole is 53 degrees. How long is the pole?
Answer:
Step-by-step explanation:
180-53-(90-9)=46
sin53/p=sin46/24
p=24sin53/sin46
p=26.65ft
The length of the pole with the given shadown is 26.6 feet long.
Length of the poleThe height of the pole is determined from trignometry property of right triangle.
The shadow of the pole, vertical height formed by the pole and the length of the pole, will form a right triangle.
Let the base of the right triangle = 24 ftLet the base angle = 53⁰base angle of similar triangle = (90 - 53) + 9 = 46⁰The length of the pole is calculated as follows;
L/sin53 = 24/sin46
L = (24 x sin53) / (sin 46)
L = 26.6 ft
Thus, the length of the pole with the given shadown is 26.6 feet long.
Learn more about angle of elevation here: https://brainly.com/question/25748640
How many 1/2 cups of juice are in 1 and 1/2 cups?
Answer:
there should be 3 half cups
Step-by-step explanation:
A boa is 3 meters long. A python is 197 centimeters long. Which snake is longer? + O boa O python How much longer cm
Answer:
the boa is longer by 103 cm
Step-by-step explanation:
3 m = 300 cm
300 - 197 = 103
Answer:
the boa...
Step-by-step explanation:
convert meters to centimeters then compare the numbers.
What is the value of x?
Answer:
i just want the points
Step-by-step explanation:
i just want the points
2+3=8,
3+7=27,
4+5=32,
5+8=60,
6+7=72,
7+8=??
Solve it
Answer:
98
2+3=2*[3+(2-1)]=8
3+7=3*[7+(3-1)]=27
4+5=4*[5+(4-1)]=32
5+8=5*[8+(5-1)]=60
6+7=6*[7+(6-1)]=72
therefore
7+8=7*[8+(7-1)]=98
x+y=x[y+(x-1)]=x^2+xy-x
Answer:
2*3 + 3* 7 = 27
4*3 + 5* 4 = 32
....
7*6 + 8*7 = 98
or it could be :
2+3-1 = 5 -1 = 4 *2 = 8
3+7-1 = 10-1 = 9 *3 = 27
4+5-1 = 9-1 = 8 * 4 = 32
5+8-1 = 13-1 = 12 * 5 = 60
6+7-1 = 13-1 = 12 *6 = 72
7+8-1 = 15-1 = 14*7 = 98
Step-by-step explanation:
. Which is bigger 35% of £260 or 45% of £220?*
The ratio of length and breadth of a rectangular playground is 3:2. There
is a two meter wide jogging track along and outside the playground. The
total area of the track and the playground is 2816 sq.m. Find the length
and breadth of the playground,
Answer:
We know that the ratio of length and breadth of a rectangular playground is 3:2
Then if the length is L, and the breadth is B, we have the relationship:
L = (3/2)*B
Outside this playground, we have a jogging track of 2m, then if we also consider the jogging track the length and breadth are:
L' = L + 2m
B' = B + 2m
The area is the product between the area and the breadth, then the area is:
A = B'*L'
A = (L + 2m)*(B + 2m)
And remember that L = (3/2)*B
Then we get:
A = ((3/2)*B + 2m)*(B + 2m)
And the area is 2816 m^2
Then we have:
A = ((3/2)*B + 2m)*(B + 2m) = 2816 m^2
Now we can solve the equation:
((3/2)*B + 2m)*(B + 2m) = 2816 m^2
(3/2)*B^2 + 3m*B + 2m*B + 4m^2 = 2816 m^2
(3/2)*B^2 + 5m*B = 2816 m^2 - 4m^2 = 2812m^2
Then we can write:
(3/2)*B^2 + 5m*B - 2812m^2 = 0
We can solve this if we use Bhaskara's formula:
[tex]B = \frac{-(5m) +- \sqrt{(5m)^2 - 4*(3/2)*(-2812m^2)} }{2*(3/2)} = \frac{-5m +-130m}{3}[/tex]
One solution is negative, so we can discard that one, then we only take the positive:
B = (-5m + 130m)/3 = 41.67m
And L = (3/2)*B
L = (3/2)*40.7m = 62.5m
The breadth is 41.67 meters and the length is 62.5 meters.
HELP HELP HELP HELP IM GIVING BRAINLIEST
Answer:
A. 60 ft^2
Step-by-step explanation:
A=bh
The base is 12 and the height is 5
12*5=60
Answer:
A
Step-by-step explanation:
What do all Quadrilaterals have in common?
Answer:
The number of edges
Step-by-step explanation:
quad means 4 so all quadrilaterls have 4 sides.
GOOD REVIEW IF BOTH OF THE ANSWERS ARE CORRECT
Answer for 1:
I don't know the actual answer, but for Forms, you can press ctrl + U and find the answers in the code
Answer for 2:
x = 28
Step-by-step explanation:
Since the overall angle is 90°, and we already have 33, we subtract 33 from 90
90 - 33 = 57
So we have to fill in the other 57°
2(28) = 56
56 + 1 = 57
So the answer is x = 28