Answer:
The upper bound of the area is 6.69375 cm²
The lower bound of the area is 6.32875 cm²
Step-by-step explanation:
The question relates to measurements and accuracy
The given information are;
The base length of the triangle = 3.1 cm
The height of the triangle = 4.2 cm correct to one decimal place
The lower bound for the base length of the triangle = 3.05 cm
The upper bound for the base length of the triangle = 3.15 cm
Similarly, the lower bound for the height of the triangle = 4.15 cm
The upper bound for the height of the triangle = 4.25 cm
The formula for calculating the area of a triangle is given by the following formula;
Area of a triangle = 1/2 × Base × Height
The upper bound of the area = 1/2 × The upper bound of the base × The upper bound of the height
The upper bound of the area = 1/2 × 3.15 × 4.25 = 6.69375 cm²
The upper bound of the area = 6.69375 cm²
The lower bound of the area = 1/2 × The lower bound of the base × The lower bound of the height
∴ The lower bound of the area = 1/2 × 3.05 × 4.15 = 6.32875 cm²
The lower bound of the area = 6.32875 cm²
A zoo has 1,361 visitors on Saturday and 549 visitors on Sunday. What is the best estimate of the total number of visitors?
Answer:
1,900
Step-by-step explanation:
Answer:
1900 is my pick
Step-by-step explanation:
Walk me through solving this one-step equation for x.
-18 + x = -11
-18 + x = -11
Let's add 18 to both sides
x = 7
Answer:
7
Step-by-step explanation:
Step 1:
- 18 + x = - 11
Step 2:
x = - 11 + 18
Answer:
x = 7
Hope This Helps :)
what is the perimeter of a rectangle with a length of (x^2+x) and a width of (2x^2+3x)
Answer:
Perimeter = 6x² + 8x
Step-by-step explanation:
Perimeter = 2(length + width)
perimeter = 2((x²+x)+(2x²+3x))
perimeter = 2(x²+2x² + x+3x)
perimeter = 2(3x² + 4x)
perimeter = 2*3x² + 2*4x
perimeter = 6x² + 8x
Bob is hiking down a 12-mile country trail. He could hike at 3 mph for the first two hours and then go the rest of the way at 5 mph or he could just go the whole way at 4 mph. How long would each of these options take? Which option is the faster?
Answer:
The first option will take a total of 3.2 hours while the second option will take just 3 hours
This shows that the second option is faster
Step-by-step explanation:
Here, we want to compare two hiking options and see the one which is faster.
At any point in time;
Distance = speed * time
In the first option, he could hike at 3 mph for two hours.
Total distance covered would be 3 * 2 = 6 miles
Distance left = 12 miles - 6 miles = 6 miles
Time taken to hike 6 miles at 5 mph will be ; 6/5 = 1.2 hours
Total time for the first type hiking = 1.2 hours + 2 hours = 3.2 hours
For the second option;
Time = distance/speed = 12 miles/4 mph = 3 hours
We can see that the second option is faster
Here, we are required to determine how long each of the options take and which of the 2 options is faster .
Therefore;
Therefore;Option 1: 3.2hours
Therefore;Option 1: 3.2hoursOption 2: 3hours.
Therefore;Option 1: 3.2hoursOption 2: 3hours.Ultimately, since option 2 takes 3hours and option 1 takes 3.2hours to hike down the distance respectively, Option 2 is faster.
Total hiking distance = 12 milesFor first option;
He could hike at 3 mph for the first two hours and then go the rest of the way at 5 mph. The statement above suggests that after the first 2 hours, 6 miles will have been covered and the remaining 6 miles can be covered at 5mph in (6/5)hours = 1.2hours.Therefore, the total time taken using this option is;(2 + 1.2) hours = 3.2hours.For second option;
He could go the whole way at 4mph.At this pace, he is able to travel the whole 12mile hiking distance in (12/4)hours.Therefore, the total time taken using this option is; 3hours.Therefore;
Option 1: 3.2hoursOption 2: 3hours.Ultimately, since option 2 takes 3hours and option 1 takes 3.2hours to hike down the distance respectively, Option 2 is faster.
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Jarrett wants to buy a really cool car but it costs $4,350 and he doesn’t have a job. The only job he can find will pay him $7.25 an hour and he can only work 20 hours a week. (Ignoring taxes and deductions) how many weeks will he need to work before he has earned enough money to buy the car?
Answer:
30 weeks
Step-by-step explanation:
7.25 x 20 = 1 WEEK
1 WEEK= 145$
4,350 divided by 145=30
30 weeks
In a community garden shown to the right you want to plan a fence in a vegetable garden that is adjacent to your friends Garden you have at most 44 ft of fence and the fence must around all four sides of your garden what is the possible lengths of your garden
Answer:
Length of the garden = 13 ft
Width of the garden = 9 ft
Step-by-step explanation:
Let the length of my new garden = l ft
It's given in the question,
width of the garden = 9 ft
Formula to calculate the perimeter of a rectangle is,
P = 2(L + W)
Where L = length of the garden
W = width of the garden
P = perimeter of the garden
Length of the fence = 44 ft
By substituting values in the formula,
44 = 2(l + 9)
22 = l + 9
l = 22 - 9
l = 13 ft
Therefore, length of my new garden = 13 ft
Width of the garden = 9 ft
answer quick please
Answer:
x= 12 y= 9
Step-by-step explanation:
x+29=3x+5
-x
29=2x+5
-5
2x=24
/2 /2
x=12
12+29=41
180-41= 139+5= 144÷16=9
What is the domain of the relation {(1,-5), (2,3), (-6, -1), (2, 3), (-7, 8), (2, 3)}?
Answer:
all work is pictured and shown
The coordinates of figure PQRS and its image P'Q'R'S' are written below. P(2,2) Q(5,2) R(5,6) S (2,6). P'(-6,2) Q'(-3,2), R' (-3,6) S(-6,6) Which single transformation can map figure PQRS onto figure P'Q'R'S'?
Answer:
A reflection across the Y-axis
Step-by-step explanation:
The single transformation can map figure PQRS onto image P'Q'R'S' is a reflection.
Given that, the coordinates of figure PQRS are P(2,2) Q(5,2) R(5,6) and S (2,6) and the coordinates of the image P'Q'R'S' are P'(-6,2) Q'(-3,2), R'(-3,6) and S' (-6,6).
What is transformation?A point, line, or geometric figure can be transformed in one of four ways, each of which affects the shape and/or location of the object. Pre-Image refers to the object's initial shape, and image, after transformation, refers to the object's ultimate shape and location.
Reflection is a type of transformation that flips a shape along a line of reflection, also known as a mirror line, such that each point is at the same distance from the mirror line as its mirrored point.
The figure PQRS is reflected on the y-axis and translated left to 1 unit.
Therefore, the single transformation can map figure PQRS onto image P'Q'R'S' is a reflection.
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An alligator is 6 inches long at birth and grows 9 inches per year. Write an equation that represents the length y (in feet) of an alligator that is x years old. How long will the alligator be after 4 years?
Answer:
42 feet
Step-by-step explanation:
y=mx+b
y=9x+6
9•4 =36 +6= 42
42=(9•4)+6
. Classify the relationship between the pair of angles. ∠10 and ∠12.
Answer: consecutive interior angles
Step-by-step explanation:
describe the domain and range
Answer:
see below
Step-by-step explanation:
The domain is the input values
The domain is the resistance values
D: { 4,6,48,80,120}
The range is the output values
The range is the current values
R : { .1,.15,.25,2,3)
2x^3 + x^2 – 7x – 6 divided by 2x +3
Answer:
x^2 -x -2
Step-by-step explanation:
Use polynomial long division.
0 + x^2 -x -2
___________________________________
(2x+3) | 2x^3 +x^2 -7x -6
-2x^3 -3x^2
_________
-2x^2 -7x
+2x^2 +3x
__________
-4x -6
+2x +6
_______
0
The measure of G is six more than twice the measure of H. If G and H are supplementary angles, find the measure of H pls I need help pls
Answer:
G=2H+6. -(1)
Also, G and H are supplementary angles which mean their sum would be180.
G+H=180
G=180-H. -(2)
From (1)&(2)
2H+6=180-H
3H=174
H=58
Hope it helps :-)
If my function rule is y=x + 3, what is the OUTPUT if the input is 4?
Answer:
7
Step-by-step explanation:
The output is 'y'. The input would be 'x'.
[tex]y=x+3\\\\y=4+3\\\\y=7[/tex]
The output should be 7.
Hope this helps.
The output for the function y=x + 3 at input x = 4 will be y = 7.
What is a function?The expression that established the relationship between the dependent variable and independent variable is referred to as a function. In the function as the value of the independent variable varies the value of the dependent variable also varies.
Given the function is y=x + 3. the value of the output at input x = 4 will be calculated as:-
y = x + 3
Put x = 4 in the function.
y = 4 + 3
y = 7
Therefore, the output for the function y=x + 3 at input x = 4 will be y = 7.
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What is the mode of the data set? 2 0 5 7 8 9 8 2 1 8 A. 2 and 8 B. no mode C ,8 only D, 2 only
Answer:
The answer is C. 8
Step-by-step explanation:
First we should reorganize the data set so that it is easier to see the mode:
0, 1, 2, 2, 5, 7, 8, 8, 8, 9
Since mode is the value that occurs the most, we just have to look at the data set and find out which value here occurs the most:
0 - Once
1 - Once
2 - Twice
5 - Once
7 - Once
8 - Thrice
9 - Once
From this we can see that the value 8 occurs the most.
Therefore, the answer is C. 8
Please help me out with this question
Answer:
no. 4
Step-by-step explanation:
What is the slope? Please answer ASAP
Make ”a” the subject of the formula 9a-8=2(a-b)
Answer:
Step-by-step explanation:
9a - 8 = 2a - 2b
7a - 8 = -2b
7a = 8 - 2b
a = (8 - 2b)/7
Please help me I’ll give brainliest
Answer:
B, C, D
Step-by-step explanation:
Please help!
No wrong/spam answers!
Answer:
c) 25
Step-by-step explanation:
[tex] \because \: l \parallel m \\ \therefore \: 3x \degree = (2x + 25) \degree ..(alternate \: \angle 's)\\ 3x = 2x + 25 \\ 3x - 2x = 25 \\ \huge \orange{ \boxed{x = 25}}[/tex]
Answer:
Spam answer
Step-by-step explanation:
c) 25
Find the value of f(3)
Use elimination to solve and match each system of equations to the correct solution 5x=15-5y
8y+26=2r Brainliest to the first answer I get
Answer:
40x=120
10r=130
Step-by-step explanation:
8(5x=15-5y)= 40x=120-40y
5(8y+26=2r)= 40y+130=10r
40x=120-40y
10r=130+40y
40x=120
10r=130
This is as far as I could get because the two numbers have two different variables, I couldn't subtract or add. It would be like subtracting apples from oranges... you can't
[tex]\begin{cases}5x=15-5y\\ 8y+26=2x\end{cases}\\\\\begin{cases}5x+5y=15\\ -2x+8y=-26\end{cases}\\\\\begin{cases}(5x+5y)\cdot2=15\cdot2\\ (-2x+8y)\cdot5=-26\cdot5\end{cases}[/tex]
+ [tex]\begin{cases}10x+10y=30\\ -10x+40y=-130\end{cases}[/tex] (adding first equation to second)
[tex]\begin{cases}10x+10y=30\\{}\qquad50y=-100\end{cases}\\\\\begin{cases}10x+10y=30\\{}\qquad y=-2\end{cases}\\\\\begin{cases}10x+10(-2)=30\\y=-2\end{cases}\\\\ \begin{cases}10x-20=30\\y=-2\end{cases}\\\\ \begin{cases}10x=50\\y=-2\end{cases}\\\\ \begin{cases}x=5\\y=-2\end{cases}[/tex]
Which statement correctly describes this expression?
Answer:
A. 5 more than the absolute value of the cube of a numberStep-by-step explanation:
x ← a number
x³ ← the cube of the number
|x³| ← the absolute value of the cube of the number
|x³| + 5 ← 5 more than the absolute value of the cube of the number
A used car is for sale for $8,950. If Jenny will pay for the car over a 5 year period, what will be her monthly payment, to the nearest dollar?
3,729/month
1,790/month
149/month
60/month
Answer:
your answer will be 149/month
Step-by-step explanation:
you wanna ask urself how many months are in 5 years
The answer is: 60 months
then, you wanna divide the cost of the car over 60 months
So:
[tex]$8950/60=149.166[/tex]
round that to the nearest dollar AKA the ones
it'll be 149
and don't forget the unit of time
which is month
$149/month
Solve.
h + 14 = -14
h =
Answer:
h= -28
Step-by-step explanation:
h+14=-14
-14 -14
h= -28
The average distance across an ocean is 1,600 km. Two continents on either side of the ocean are converging at a rate of 0.0001 km/year. How long will it take for them to collide? The formula to find time is: time = distance/convergence rate. Solve.
Answer: 16,000,000 years
Step-by-step explanation:
The question already states the formula for time so
1600/0.0001= 16,000,000
which is the correct answer?? I have 5 mins left to finish this pls help
Answer:
25.3
Step-by-step explanation:
I just put it in my calculator.
Hey uhm I don't understand:
-2/3 (1/2) (-6/7)=
i need the answer in a fraction. THANXS!
(Show your working) I uploaded the question
x^2 = the first integer
(x - 1)^2 = the second integer.
x^2 - (x - 1)^2 = ?
First, let's plug a number into our equation for x.
(2)^2 - (2 - 1)^2 = ?
4 - (1)^2 = ?
4 - 1 = 3
As we can see the difference is odd but it's also the sum of the two consecutive integers.
2 + 1 = 3.
This works for all numbers. Let's plug another number into our equation for x.
(4)^2 - (4 - 1)^2 = ?
16 - (3)^2 = ?
16 - 9 = 7
4 + 3 = 7
Try any number and it will always be odd.