Answer: 148.5
Step-by-step explanation:
To find the area of this shape, comprised of a rectangle and a triangle, we can find the area of each shape and add them together.
The area of a triangle is 12⋅b⋅h. We are given the triangle's height, 13. The base of the triangle will be the same as the width of the rectangle, which we also know: 11. Now we can calculate the area of the triangle:
A = 1/2⋅b⋅h
A = 12⋅11⋅13
A = 71.5
Now we can find the area of the rectangle, which is l⋅w. The width of the rectangle is 11, which is the same as the base of the triangle; the length is 7:
A =l⋅w
A = 7⋅11
A = 77
Finally, we can add together the area of the triangle and the rectangle to find the total area:
A = 71.5 + 77 = 148.5
The total area of the front of a house will be 148.5.
What is mean by Rectangle?
A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.
Given that;
A rectangle has a width = 11
The triangle's height = 13
The rectangle's height = 7
Now,
Since, The base of the triangle will be the same as the width of the rectangle.
Hence, The area of rectangle = 7 x 11
= 77
And, The area of triangle = 1/2 x 11 x 13
= 71.5
Thus, The total area of the front of a house = 77 + 71.5
= 148.5
Therefore, The total area of the front of a house will be 148.5.
Learn more about the rectangle visit:
https://brainly.com/question/398984
#SPJ2
please help :) Which of these numbers is the greatest? A. 1.9 x 10 to the 5 power B. 9.1 x 10 to the 2 power C. 7.9 x 10 to the 4 power D. 89,900
Answer: The answer is A.
Step-by-step explanation:
1.9x10^5= 190000
9.1x10^2= 910
7.9x10^4 =79000
Which of the following equations have infinitely many solutions? Choose All that apply. A: 37x-37=37x-37 B: 74x-37=74-37 C: 73x-37=73x-37 D: x-37=x-37
Answer:
(A), (C) and (D).
Step-by-step explanation:
An equation will have infinite solutions if both sides of the equal sign are the exact same thing, for instance [tex]4x+4=4x+4[/tex]. (You can test this with any value of x and find that they all work!)
So to find the equations that have infinite solutions, we need to see which have the same exact sides.
[tex]37x-37 = 37x-37[/tex] have the same thing on each side: [tex]37x-37\\[/tex], so this has infinite solutions.
[tex]74x-37 = 74-37[/tex] does not have the same thing on each side, so it doesn’t have infinite solutions (it has 1)
[tex]73x-37 = 73x-37[/tex] has the same thing on each side: [tex]73x-37[/tex], so this has infinite solutions.
And finally, [tex]x-37=x-37[/tex] has the same thing on each side: [tex]x-37[/tex], so it has infinite solutions.
Hope this helped!
Answer:
question is not clear please send clear question
What is the solution set of x for the given equation? x^2/3-x^1/3+4=6 A. -2, -1 B. 2, -1 C. -8, -1 D. 8, -1 E. 2, 8
Answer: The answer is D.
Step-by-step explanation: Ok, we start by simplifing the equation to 3√x^2 - 3√x=2. Now, by plugging the possible options in, we can find the answer. You find that -1 is a possible answer for x, so that eliminates E. Since there is no cube root for 2, we elimate A and B. By plugging in C and D, you find that C=6, not C=2. So D must be the answer.
Given that 7 x − 2 y = 35 Find y when x = − 9
so x = minus 9
then
7 × (-9) - 2y = 35
-63 - 2y = 35
-2y = 35 plus 63
-2y = 98
- y = 49
y = -49
Answer:
[tex]\boxed{y = -49}[/tex]
Step-by-step explanation:
=> [tex]7x-2y = 35[/tex]
Given that x = -9
=> [tex]7(-9) -2y = 35[/tex]
=> [tex]-63-2y = 35[/tex]
Adding 63 to both sides
=> [tex]-2y = 35+63[/tex]
=> [tex]-2y = 98[/tex]
Dividing both sides by -2
=> [tex]y = -49[/tex]
The hanger image below represents a balanced equation.
3
5
2
Write an equation to represent the image.
Answer:
The answer is 1/5 + z = 3/5
Step-by-step explanation:
Answer:
1/5+z=3/5
Step-by-step explanation:
I am really confused... Please help me solve this question!
I hope this helps you
Susan bought a calculator for $120 . She had to pay a sales tax of 10% on the price. How much change would she receive from $140 ?
Answer: $8
Step-by-step explanation: $120+10%=$132. $140-$132=$8.
What are the independent and dependent variables in the relationship?
w is the width and it is the independent variable. You can pick any positive whole number you want (within reason of course; you can't go to infinity or go beyond some set boundary). Whatever you picked for w, the expression 2w-5 will be dependent on it. So the length is dependent on the width.
For instance, if the width is w = 10 feet, then 2w-5 = 2*10-5 = 20-5 = 15 feet is the length. The choice of 10 feet for the width directly affects the length being 15 feet.
How many pairs of points are reflections across the x-axis?
A)1
B)2
C)3
D)4
Answer:
C. 3
Step-by-step explanation:
C&D, A&F, K&J
The pairs of points are reflections across the x-axis will be 3. The correct option is C.
What is coordinate geometry?A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis.
A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.
In the given graph number of points is given in all four quadrants. The reflections of the points across the x-axis will be of the points C and D, A and F, K and J.
Therefore, the pairs of points that are reflections across the x-axis will be 3.
To know more about Coordinate geometry follow
brainly.com/question/18269861
#SPJ2
Plz help mw 8 am so dumb lol
Answer:
1,1,3,1,1
Step-by-step explanation:
Answer:
0 1
1 1
2 3
3 1
4 1
Step-by-step explanation:
You would just count how many 0 there are in the set and there are 1 and you would put in by 0. For 1 there are 1, for 2 there are 3, for 3 there are 1, and for 4 there are 1.
I need help!
- 7(x + 2) = 21
Answer:
x = -5
Step-by-step explanation:
-7(x + 2) = 21
Divide each side by -7
-7/-7(x + 2) = 21/-7
x+2 = -3
Subtract 2 from each side
x+2-2 = -3-2
x = -5
Answer:
x = -5
Step-by-step explanation:
distribute: -7x-14 = 21
add 14 to both sides
divide by -7
x = -5
Mary earns $28,000 a year. One week she grossed $658.00. She had sold $1673.19 worth of merchandise. what is the rate of her commission?
Answer:
Her commission rate is 7.44%
Step-by-step explanation:
The parameters given are;
The amount Mary earns annually = $28,000
The amount Mary grossed during a week = $658.00
The amount Mary had sold during the week to make the amount grossed during the week = $1673.19
Given that Mary makes $28,000 per year
Therefore;
The amount Mary earns per week = Amount earned per year/52
The amount Mary earns per week = $28,000/52 = $538.46
The amount extra she made on commission = $658.00- $538.46= $119.54
The commission rate = Commission earned/(Amount of merchandise sold)×100
The commission rate = 119.54/1673.19 × 100 = 7.14%
Her commission rate = 7.44%
In △ABC, m∠A=15°, a=10, and b=11. Find c to the nearest tenth.
Answer:
There are two answers, c=20.2 or c=1.0
Step-by-step explanation:
The value of c is 20.2 units
What is cosine rule?The law of cosine states that the square of any one side of a triangle is equal to the difference between the sum of squares of the other two sides and double the product of other sides and cosine angle included between them.
Let a, b, and c be the lengths of the three sides of a triangle and A, B, and C be the three angles of the triangle. Then, the law of cosine states that: a2 = b2 + c2 − 2bc·cosA. As stated above, the law of cosines in trigonometry generalizes the Pythagorean theorem.
Law of Cosines FormulaThe law of cosines formula can be used to find the missing side of a triangle when its two sides and the included angle is given i.e., it is used in the case of a SAS triangle. We know that if A, B, and C are the vertices of a triangle, then their opposite sides are represented by the small letters a, b, and c respectively. The law of cosines formula is used to:
find a when b, c, and A are given (or)find b when a, c, and B are given (or)find c when a, b, and C are given (or)find any angle of the triangle when a, b, and c are given.
There are three laws of cosines and we choose one of them to solve our problems depending on the available data.
a2 = b2 + c2 - 2bc·cosAb2 = c2 + a2 - 2ca·cosBc2 = a2 + b2 - 2ab·cosCAs,
m∠A=15°, a=10, and b=11.
Now, using cosine rule
cos A = b² + c² - a²/ 2bc
cos 15 = 121+ c²-100/22c
0.96 = 121+ c²-100/22c
21.25 c = 21 + c²
21 + c² - 21.25 c=0
By solving the quadratic equation
c=20.2 units.
Learn more about cosine rule here:
https://brainly.com/question/17121410
#SPJ4
Identify the meaning of the variables in the point-slope form of a line.
Answer:
(x,y) = Any point on the line
m = the slope of the line
(x₁, y₁) = A given point on the line
Step-by-step explanation:
the equation of a straight line is;
y = mx + c
where;
x and y are any point on the line
m is the slope of the line
c is the intercept on the y axis
And a given point on (x,y) can be written as (x₁, y₁)
Therefore, for the case above;
(x,y) = Any point on the line
m = the slope of the line
(x₁, y₁) = A given point on the line
I need answers to a and b please ;D
Answer:
Angle x is 75 degrees because 180-105 = 75 so the angle next to 105 is the alternate exterior angle to angle x which means they are equal
Step-by-step explanation:
Answer:
a) 75 deg
b) see below
Step-by-step explanation:
a)
x + 105 = 180
x = 75
b) <x and <ABF are supplementary since they are a linear pair, so
x + m<ABF = 180
Since lines AD and EH are parallel, corresponding angles ABF and EFG are congruent.
m<ABF = m<EFG
x + m<EFG = 180
x + 105 = 180
x = 75
Allen and Stephan went shopping for Mother's day. Stephan spent $30 for 4 roses and 2 CDs. Allen bought 2 roses and 3 CDs for $40. What was the cost of a rose and a CD?
Answer:
work is shown and pictured
Which of the following is a correct statement?
A. Choosing the third person listed on every fifth page of the phone book is stratified sampling.
B. An advantage of a systematic sample is that no list of enumerated data items is required.
C. Convenience sampling is used to study shoppers in convenience stores.
D. Judgment sampling is an example of true random sampling
Answer:
A. Choosing the third person listed on every fifth page of the phone book is stratified sampling.
Step-by-step explanation:
Stratified sampling involves grouping the population into subgroups before sampling. It provides a more manageable and cheaper means of sampling data by placing the population into grouped strata. The only problem is that this sampling method cannot be used in a data population that cannot be stratified. In this question, the phone book is stratified into subgroups of every five pages, and the third person listed is chosen to represent the subgroup
which of the following is the graph of
[tex] \sqrt{ \times } \geqslant 4[/tex]
Answer:
Hope this is correct and helpful
HAVE A GOOD DAY!
what is the ratio of the volumes of two similar spheres, given that the ratio of their radii is 5:9?
PLEASE NEED ANSWERS
Answer:
125 : 729
Step-by-step explanation:
Given the ratio of the radii of 2 similar spheres = a : b , then
ratio of volumes = a³ : b³
Here the ratio of radii = 5 : 9 , thus
ratio of volumes = 5³ : 9³ = 125 : 729
I need a clear explanation please bc i don't get how I'm supposed to do this. :,)
The half-life [tex]t_{1/2}[/tex] is the amount of time it takes for some quantity [tex]N_0[/tex] of carbon-14 to decay to half the original amount, or [tex]N=\frac{N_0}2[/tex].
In terms of the formula, it's the time such that
[tex]\dfrac{N_0}2=N_0e^{-kt_{1/2}}[/tex]
and we can divide both sides by the original amount to get
[tex]\dfrac12=e^{-kt_{1/2}}[/tex]
We want to find the time [tex]t[/tex] it takes for 57%, or 0.57, of the original amount to remain. This means we solve for [tex]t[/tex] in
[tex]0.57N_0=N_0e^{-kt}[/tex]
or
[tex]0.57=e^{-kt}[/tex]
We're given [tex]k=0.0001[/tex]; plug this in and solve for [tex]t[/tex]:
[tex]0.57=e^{-kt}\implies\ln0.57=-kt\implies t=-\dfrac{\ln0.57}k\approx\boxed{5621\,\mathrm{years}}[/tex]
which equation represents the line that is perpendicular yo y=3/2x+1 and passes through (-12,6)
Answer:
y = -2/3x - 2
Step-by-step explanation:
Step 1: Find slope m of perpendicular line
Simply take the negative reciprocal of the given line
m = -2/3
y = -2/3x + b
Step 2: Find b
6 = -2/3(-12) + b
6 = 8 + b
b = -2
Step 3: Rewrite perpendicular equation
y = -2/3x - 2
what percentage of the population has a heart rate between 68 and 77
Answer:
49.87% of the population has a heart rate between 68 and 77.
Step-by-step explanation:
We are given that the mean of the data for the resting heart of adults is 68 beats per minute and the standard deviation is 3 beats per minute.
Let X = the data for the resting heart of adults
The z-score probability distribution for the normal distribution is given by;
Z = [tex]\frac{X-\mu}{\sigma}[/tex] ~ N(0,1)
where, [tex]\mu[/tex] = population mean = 68 beats per minute
[tex]\sigma[/tex] = standard deviation = 3 beats per minute
Now, the percentage of the population that has a heart rate between 68 and 77 is given by = P(68 < X < 77)
P(68 < X < 77) = P(X < 77) - P(X [tex]\leq[/tex] 68)
P(X < 77) = P( [tex]\frac{X-\mu}{\sigma}[/tex] < [tex]\frac{77-68}{3}[/tex] ) = P(Z < 3) = 0.9987
P(X [tex]\leq[/tex] 68) = P( [tex]\frac{X-\mu}{\sigma}[/tex] [tex]\leq[/tex] [tex]\frac{68-68}{3}[/tex] ) = P(Z [tex]\leq[/tex] 0) = 0.50
The above probability is calculated by looking at the value of x = 3 and x = 0 in the z table which has an area of 0.9987 and 0.50 respectively.
Therefore, P(68 < X < 77) = 0.9987 - 0.50 = 0.4987 or 49.87%
Theo made sails for a Model boat he cut along the diagonal of a rectangular piece of cloth to make two sales as shown below what was the area of the square feet of one to
Answer:
You need to give more information.
Step-by-step explanation:
find the prime factorization of 47
Which expression can be used to determine the slope of the linear function represented in the table?
х
0
у
5
9
4
9-5
4-0
O
4-0
9-5
o
5-0
9-4
O
9-4
5-0
Answer:
to find the slope of a linear function, there is only one formula
this formula requires two points, which are stated in tables and graphs alike
these points do not need to be one after the other as it is slope and slope predicts what the next point graphed will be.
Formula for Slope:
y2 - y1______x2 - x1this should help. take any two points and substitute for each; y values in the correct spots and x values in their correct spots
make sure to put the values of second point where it is labelled y2 and x2 And make sure to substitute first point values in those labelled y1 and x1
It is important to remember that if this becomes a fraction, SIMPLIFY
We can write the slope of the function as -
{m} = (9 - 5)/(4 - 0).
What is function?A function is a relation between a dependent and independent variable. We can write the examples of function as -
y = f(x) = ax + b
y = f(x, y, z) = ax + by + cz
Given is a table for the function as -
{x} 0 4
{y} 5 9
We can write the slope of the function as -
{m} = (9 - 5)/(4 - 0)
Therefore, we can write the slope of the function as -
{m} = (9 - 5)/(4 - 0).
To solve more questions on functions, visit the link below-
https://brainly.com/question/30194223
#SPJ7
WILL GIVE BRAINLIEST
Answer:
D
Step-by-step explanation:
You know that you have to find y, so eliminate choice B. She reads 30 per day, which is c, so you will have 30x. She also read 15 pages separately, so the 15 will be added on separately. With this, you get y = 30x + 15.
Answer:
D.
Step-by-step explanation:
Since she already read 15 pages in the bookstore, those 15 pages are constant since she cannot unread those pages. Those pages are the y-intercept of the equation.
Gwen is reading 30 pages per day, so her slope will be 30.
D. y = 30x + 15 will be her equation.
Hope this helps!
Please help I been stuck
for the longest
Answer:
6^5 * 9^5
Step-by-step explanation:
( 6*9) ^5
We know that ( ab) ^c = a^ c* b^c
6^5 * 9^5
The equations in this system were added to solve for y. What is the value of y? X + 6 y = 10. Minus x + 3 y = negative 15. Equals 9 y = negative 5. Y = Negative StartFraction 9 Over 5 EndFraction y = Negative StartFraction 5 Over 9 EndFraction y = StartFraction 5 Over 9 EndFraction y = StartFraction 9 Over 5 EndFraction
Answer:
y = StartFraction 5 Over 9 EndFraction
y=5/9
Step-by-step explanation:
Given:
x+6y=20
-x+3y=-15
x+6y=20. (1)
-x+3y=-15 (2)
From (1)
x=20-6y
Substitute x=20-6y into (2)
-x+3y=-15
-(20-6y)+3y = -15
-20+6y+3y = -15
9y=-15+20
9y=5
Divide both sides by 9
9y/9=5/9
y=5/9
y = StartFraction 5 Over 9 EndFraction
Answer:
y=-5/9
Step-by-step explanation:
9y=-5
---------- Divided by 9
9 9
Y is equal to negative five over 9
Have a good day and stay safe!
{b(1)=-2 {b(n)=b(n-1)-7 What’s the 3rd term?
Answer: the answer is b(5)
Step-by-step explanation:
To find the third term work backwards and plug it in. That was when you plug the solution of b(n-1) everything fits.
Answer:
b(3)=-16
Step-by-step explanation:
We have to figure out the second term
b(2)=b(1)-7
b(2)=-2-7
b(2)=-9
and now the third one
b(3)=b(2)-7
b(3)=-9-7
b(3)=-16
The length and width of a rectangle are in a 3:5 ratio. The perimeter of the rectangle is 64. What are the length and width of the rectangle? The length is? And the width is?
Hey there! I'm happy to help!
We know that the perimeter is 2L+2W. Le'ts plug in the values 3 and 5 from our ratio and see what our perimeter would be with that.
2(3)+2(5)
6+10
16
How can we get this 16 to 64?
64/16=4
So, we need to multiply this length and width by four to get 64 as our perimeter!
3*4=12
5*4=20
We can plug this into our perimeter equation
2(12)+2(20)
24+40
64
Therefore, our length is 12 and our width is 20.
Have a wonderful day! :D