Answers
Hope this helps :)
area = 22.5 ft²
Explanation:
The total area can be calculated by summing the areas of the rectangle and the triangle.
1- getting the area of the rectangle:
area of square = length * width
In the given, we have:
length = 4 ft
width = 5 ft
Therefore:
area of rectangle = 4 * 5 = 20 ft²
2- getting the area of the triangle:
area of triangle = 0.5 * base * height
In the given, we have:
base = 5 ft
height = 1 ft
Therefore:
area of triangle = 0.5 * 5 * 1 = 2.5 ft²
3- getting the total area:
Total area = area of rectangle + area of triangle
Total area = 20 + 2.5 = 22.5 ft²
Hope this helps :)
Related Questions
Find the intervals on which f is increasing and decreasing, find the local maximum and minimum values of f, find the intervals of cocavity and inflection f(x) 2x^3 + 3x^2 -36x
Answers
Increasing: x ∈ (-∞, -3) ∪ (2, ∞)
Decreasing: x ∈ (-3, 2)
Local maximum: (-3, 81)
Local minimum: (2, -44)
Concave downward: x ∈ (-∞, -0.5)
Concave upward: x ∈ (-0.5, ∞)
Point of inflection: (-0.5, 18.5)
You roll a standard number cube. Find P(number is not 2).
Select one:
a. 2/3
b. 1/2
c. 5/6
d. 1/6
Answers
1,2,3,4,5,6
P, is any of those numbers that are not 2.
2 is one of the numbers in 6, and so it is 1/6 of the die.
6/6 - 1/6 = 5/6
C) 5/6 is your chance of getting a number that is not 2
hope this helps
Atrap and Bracken are two rival insurance companies. Atrap and Bracken have premiums of $150 and $100 and deductibles of $2,500 and $3,500 respectively. The average expense of surgery is $25,000. If after 5 years, 25 of the 1,000 people registered with Bracken have gone through surgery, where does Bracken stand in terms of gains or losses?
Answers
Answer:
Bracken has incurred a loss of $37,500
Step-by-step explanation:
People who have registered with Bracken insurance company pays premium of $100. 1,000 people in total have registered with Bracken. In 5 years Bracken would have earned an income of $500,000 [tex]\left ( $100\times1,000\times5)\right[/tex].
25 among the 1,000 registered have undergone surgery. Average surgery expense is $25,000. $3,500 is deductible. So Bracken's total expense per client is $21,500 (25,000 - 3,500). For 25 patients, it will be $537,500 [tex]($21,500\times25)[/tex].
Since expenses of $537,500 is more than income of $500,000, Bracken incurs a loss of $37,500 (500,000 - 537,500) over 5 years.
Therefore, Bracken's loss over 5 years is $37,500
One side of a cube has an area of 25 centimeters squared. What is the surface area of the cube?
Answers
[tex]\bf \textit{area of a square}\\\\ A=s^2~~ \begin{cases} s=length~of\\ \qquad a~side\\ ------\\ A=25 \end{cases}\implies 25=s^2\implies \sqrt{25}=s\implies 5=s[/tex]
now, look at the picture below, a cube is really just 6 squares stacked up to each other at the edges, in this case, all 6 squares are 5x5.
so, simply get the area of all of them, and sum them up, and that's the surface area of the cube.
(5*5)+(5*5)+(5*5)+(5*5)+(5*5)+(5*5).
Starting time 7:43 elapsed time 36 min
Answers
STEP 1:
Add the minutes together (not hours)
=43 + 36
=79 minutes
STEP 2:
1 hour= 60 minutes
since there are only 60 minutes in an hour, add one hour to 7 above and subtract 60 from step 1 to find remaining minutes
=79 - 60
=19 minutes
STEP 3:
add another hour to 7 since we have an extra 60 minutes
=(7 hours +1 hour) + 19 minutes
=8:19
ANSWER: 8:19 is the new time
Hope this helps! :)
According to the order of operations, which of the following should be evaluated first? exponents multiplication or division expressions within parentheses addition or subtraction
Answers
expressions within parentheses
the correct answer is the expression with parentheses
The American flag is customarily made with its width and length in the ratio of 10 to 19. Which of the following dimensions is in the correct ratio for the flag?
Answers
Final answer:
The given dimensions do not match the American flag's customary ratio of 10 to 19. To find the correct dimensions, the numbers must divide to equal approximately 0.5263. None of the provided options are correct.
Explanation:
The American flag is customarily made with its width and length in the ratio of 10 to 19. To ensure the dimensions are correct, we must find a pair of numbers that, when divided, are in the same proportion as 10/19 (approximately 0.5263). Looking at the listed dimensions:
51 H (Height is not a width or length measurement, so we cannot confirm the ratio)
53 x 38 (53/38 = 1.3947 which is not equal to 10/19)
55 x 0.025 (55/0.025 = 2200 which is not equal to 10/19)
57 x (2.93, 3.59) (This does not provide a pair of length and width measurements)
59 (This is not a dimension)
Since none of the provided options has numbers that mirror the 10 to 19 ratio of the flag, none of these dimensions would be correct for an American flag. If we want to find dimensions that are proportional, we have to look for any two numbers that, when divided, equal approximately 0.5263. Hence, an example of a correct dimension following the flag's ratio would be 10 inches by 19 inches or any multiple thereof.
At the end of the past month the cash account of a company had an ending balance of 6750. During the last month the account was debited for a total of 11350 and credited for a total of 10500. What was the balance in the cash account at the of the last month
Answers
6750 -11350 +10500 = 5900
At the end of last month, the cash account balance was 5900.
Sergio runs 2 1/4 miles in 30 minutes. Write the ratio in fractional form and determine Sergio's speed in miles per hour.
Answers
4.5 miles per hour.
Hope this helps. - M
Sergio runs at a speed of 4.5 miles per hour. The ratio of his running distance to time is 9/2.
Explanation:To determine Sergio's speed in miles per hour (mph), we use the equation: speed = distance/time. Sergio runs 2 1/4 miles in 30 minutes. First, we need to convert the fractional distance to a decimal and the time to hours. 2 1/4 miles is equal to 2.25 miles and 30 minutes is equal to 0.5 hours.
Substitute these values into the equation:
speed = 2.25 miles/0.5 hour = 4.5 mph.
Therefore, Sergio's running speed is 4.5 miles per hour. The ratio of distance to time in fractional form would be 9/2.
Learn more about Speed Calculation here:https://brainly.com/question/19930939
#SPJ2
In 2012, the population of a city was 6.81 million. the exponential growth rate was 1.61% per year. a) find the exponential growth function. b) estimate the population of the city in 2018. c) when will the population of the city be 10 million? d) find the doubling time.
Answers
y = A * (b) ^ t
Where,
A: initial amount
b: growth rate
t: time
For each of the questions we must make use of this equation in the following way:
Part A:
y = 6.81 * (1.0161) ^ t
Part B:
y = 6.81 * (1.0161) ^ 6
y = 7.49 million
Part C:
10 = 6.81 * (1.0161) ^ t
log1.0161 ((1.0161) ^ t) = log1.0161 ((10 / 6.81))
t = log1.0161 ((10 / 6.81))
t = 24.05 years
Part D:
2 * 6.81 = 6.81 * (1.0161) ^ t
log1.0161 ((1.0161) ^ t) = log1.0161 ((2 * 6.81 / 6.81))
t = log1.0161 (2)
t = 43.40 years
In RST , RS=11 ,RT=9 and ST=6 which angle of RST has the smallest measure ?
Answers
C. ∠R
<R angle of RST has the smallest measure.
The correct option is C.
We have,
RS=11 ,RT=9 and ST=6
Now, from the given lengths it can be seen that the length of ST is shortest and length of RS is longest.
By the definition which states that,
The angle opposite to longest side is largest and the angle oppsite to shortest side is smallest.
From given, <R is opposite to shortest side ST.
Thus, the smallest angle is R.
Learn more about Angle here:
https://brainly.com/question/2861115
#SPJ2
Which statistic is used to test a global hypothesis about a multiple regression equation?
Answers
_____________________________________________________
What is the answer for 5 3/4+3 1/3 =?
Answers
Let's start by adding the whole numbers.
5+3=8
Set it to the side.
Now let's rewrite the problem without the whole numbers.
[tex] \frac{3}{4} + \frac{1}{3} [/tex]
We must find the least common denominator.
The LCD is 12.
In order to get 12 we must multiply by 3 on the left and 4 on the right.
[tex] \frac{3*3}{4*3} + \frac{1*4}{3*4} [/tex]
[tex]\frac{9}{12} + \frac{4}{12} [/tex]
Now just add them together since they have a common denominator.
[tex] \frac{13}{12} [/tex]
Now we need to simplify
[tex]1 \frac{1}{12} [/tex]
Now it is time to add that 8 back
8+[tex] 1 \frac{1}{12} [/tex]
Add the whole numbers
8+1=9
Answer: [tex] 9 \frac{1}{12} [/tex]
Write an equation to solve each problem and then solve it. There are two numbers whose sum is 53. Three times the smaller number is equal to 19 more than the larger number. What are the numbers?
Answers
x------> larger number
y------> smaller number
we know that
x+y=53------> y=53-x-----> equation 1
3y=x+19-----> equation 2
substitute equation 1 in equation 2
3*[53-x]=x+19------> 159-3x=x+19----> 3x+x=159-19-----> 4x=140
x=140/4-----> x=35
y=53-x----> 53-35-----> y=18
the numbers are
35 and 18
show this fraction as a decimal 1 1/4
Answers
1/4 is the same as 25/100 (if you multiply 25 top and bottom). 25/100 = 0.25
1 + 0.25 = 1.25
1.25 is your answer
hope this helps
Decimal: 1.25
Think about like this: kinda like money
1/4: 25 (cents)
2/4 50 (cents)
3/4 75 (cents)
4/4 100 (cents) or 1 (a dollar bill)
Hope that could help out!
What is 134,500 rounded to the nearest ten thousand
Answers
Find F'(x) for F(x) = [x^3,1] integral cos(t^4)dt
A. cos(1)-cos(x^12)
B. -3x^2cos(x^12)
C. cos(x^7)
D. -cos(x^12)
Answers
F'(x) = 0 -cos((x^3)^4)·3x^2
Simplifying, ...
F'(x) = -3x^2·cos(x^12)
The appropriate choice is ...
B. -3x^2cos(x^12)
what is the answer to the problem above?
Answers
5 × 18 = 90
100/90 = 10/9 = 1 1/9
how to Solve for the Missing Side
Answers
Remember SOHCAHTOA
You need to find the hypotenuse, and you are given the opposite side to the given angle. Which means you will be solving Sine.
Now just plug the numbers in.
[tex]Sin 67 = \frac{15}{x} \\Sin 67 (x) = 15 \\\frac{sin67(x)}{sin 67} = \frac{15}{sin67} \\x = 16.2954[/tex]
A ball is launched into the sky at 272 feet per second from the roof of a skyscraper 1,344 feet tall. The equation for the ball’s height h at time t seconds is h = -16t2 + 272t + 1344. When will the ball strike the ground?
Answers
Answer:
Time taken to reach the ball to the ground is 21 seconds.
Step-by-step explanation:
Given : A ball is launched into the sky at 272 feet per second from the roof of a skyscraper 1,344 feet tall. The equation for the ball’s height h at time t seconds is [tex]h = -16t^2 + 272t + 1344[/tex].
To find : When will the ball strike the ground?
Solution :
The equation for the ball's height 'h' at time 't' is given by,
[tex]h(t)= -16t^2 + 272t + 1344[/tex]
When the ball strike the ground the height of the ball became zero.
Substitute h=0 in the given equation,
[tex]-16t^2 + 272t + 1344=0[/tex]
Taking 16 common,
[tex]16(-t^2 + 17t + 84)=0[/tex]
or [tex]t^2-17t-84=0[/tex]
Solve by middle term split,
[tex]t^2-21+4t-84=0[/tex]
[tex]t(t-21)+4(t-21)=0[/tex]
[tex](t-21)(t+4)=0[/tex]
[tex]t=21,-4=0[/tex]
Reject t=-4 as time can never be negative.
Therefore, Time taken to reach the ball to the ground is 21 seconds.
hey can you please help me posted picture of question
Answers
N (k):
Where, the indepent variable is k
The dependent variable is N
For the function:
k (n):
the independent variable is n
The dependent variable is k
Thus,
N (12) = 4
k (4) = 12
Answer:
TRUE
option A
Emily got a newjob that guarantees her a 6% raise every year. If she started out making 25,000, how long will it be before she doubles her current salary
Answers
hey can you please help me posted picture of question
Answers
(4 - 6i)(6 - 8i)
= 4(6-8i) - 6i(6-8i)
= 24 - 32i - 36i + 48i²
= 24 - 68i + 48(-1)
= 24 - 68i - 48
= - 24 - 68i
What is the total future value six years from now of $80 received in one year?
Answers
I need help
Circle P is below
Answers
2. add all of them up together
[tex](4y + 6) + (7y - 7) + (20y - 11) = 360[/tex]
3. combine like term then solve for Y
4. you will figure the arc measure of BC when you get answer for Y.
31y-12=360
31y=360+12
31y=372
y=372/31=12
BC=BA+AC=4y+6+7y-7=11y-1
BC=11*12-1=131⁰
Which of the following represents the zeros of f(x) = 6x3 − 35x2 + 26x − 5?
the answer choices are
A. -5, one third, one half
B. 5, negative one third, one half
C. 5, one third, negative one half
D. 5, one third, one half
Answers
f(x)=6x³-35x²+26x-5
to get the zeros we need to factorize the polynomial given:
to factorize we look for a number such that when we substitute in the equation we get a zero:
first number is:
x=5
thus:
to get the rest of the number we shall have:
(6x³-35x²+26x-5)÷(x-5)
=(3x-1)(2x-1)
thus the other roots are:
x=1/3 and x=1/2
hence the answer will be:
C. 5, one third, negative one half
Tangerine trees yield 50 pounds of fruit per acre and grapefruit trees yield 75 pounds of fruit per acre. Suppose Josh's farm has t acres of tangerine trees, g acres of grapefruit trees, and yields 1,500 pounds of citrus. What is the constraint equation that represents this scenario?
50t + 75g = 1,500 75t + 50g = 1,500 125c = 1,500 t + g = 1,500
Answers
Solution:
Tangerine trees = 50 pounds/acre, t acres
Grapefruit trees = 75 pounds/acre, g acres
Total weight of fruits possible = 1,500 = 50*t + 75*g
That is,
50t + 75g = 1,500
Therefore, the first option is correct.
Answer: 50t+75g=1,500
the local weather forecast has been accurate for 17 of the past 33 days based on this fact what is the relative frequency probability that the forecast for tomorrow will be accurate
Answers
Answer: 17/33
[tex] \frac{17}{33} [/tex]
What is the inequality for this verbal description?Sam has d dollars to spend on grapes and carrots. He wants to buy one bag of grapes for $4.00 and c pounds of carrots that cost $2.00 per pound. Which inequality represents this situation?
Answers
this tells us that $4 for grapes plus c bags of carrots that are $2 per pound will give us his total. he wants this to be less than or equal to d.
if able please vote brainliest if you like my response! thanks
Final answer:
The inequality for Sam's expenditures on grapes and carrots, with grapes costing $4 and carrots costing $2 per pound, is 4 + 2c <= d.
Explanation:
The inequality that represents Sam's spending on grapes and carrots, given that he has d dollars to spend, is 4 + 2c ≤ d. This inequality is derived from the cost of one bag of grapes, which is $4, and the cost of carrots, which is $2 per pound. The variable c represents the number of pounds of carrots Sam wants to buy. The total cost of grapes and carrots must be less than or equal to the amount of money Sam has, which is d dollars.
In the linear equation y = 2x + 1, if x increases by 4 points, how much will y increase?
Answers
If [tex]\(x\)[/tex] increases by 4 points, [tex]\(y\)[/tex] will increase by 8 units.
In the linear equation [tex]\(y = 2x + 1\)[/tex], the coefficient of [tex]\(x\)[/tex] is 2. This means that the slope of the line is 2, and for every one unit increase in [tex]\(x\), \(y\)[/tex] will increase by 2 units.
Given that [tex]\(x\)[/tex] increases by 4 points, the corresponding increase in [tex]\(y\)[/tex] can be found by multiplying the change in [tex]\(x\)[/tex] by the slope:
[tex]\[\Delta y = \text{Slope} \times \Delta x\][/tex]
[tex]\[ \Delta y = 2 \times 4 = 8\][/tex]
Therefore, if [tex]\(x\)[/tex] increases by 4 points, [tex]\(y\)[/tex] will increase by 8 units.
Example:
Let's use the given linear equation [tex]\(y = 2x + 1\)[/tex] and demonstrate how an increase in [tex]\(x\)[/tex] by 4 points results in an increase in [tex]\(y\)[/tex] by 8 units.
Given Linear Equation:
[tex]\[y = 2x + 1\][/tex]
Let's consider an initial point on the line where [tex]\(x = 3\)[/tex]. Find the corresponding [tex]\(y\)[/tex]:
[tex]\[y = 2(3) + 1 = 7\][/tex]
So, when [tex]\(x = 3\), \(y = 7\)[/tex].
Now, if [tex]\(x\)[/tex] increases by 4 points, new [tex]\(x\)[/tex] value will be [tex]\(3 + 4 = 7\)[/tex].
Using the same linear equation to find the new [tex]\(y\)[/tex]:
[tex]\[y_{\text{new}} = 2(7) + 1 = 15\][/tex]
Now, calculate the increase in [tex]\(y\)[/tex]:
[tex]\[\Delta y = y_{\text{new}} - y_{\text{initial}} = 15 - 7 = 8\][/tex]
So, in this example, when [tex]\(x\)[/tex] increases by 4 points (from 3 to 7), [tex]\(y\)[/tex] increases by 8 units (from 7 to 15), confirming that the increase in [tex]\(y\)[/tex] is proportional to the increase in [tex]\(x\)[/tex] with a slope of 2.