The area of the triangle in this problem is given as follows:
34 ft².
How to obtain the area of a triangle?The area of a rectangle of base b and height h is given by half the multiplication of dimensions, as follows:
A = 0.5bh.
The parameters for this problem are given as follows:
b = 10 ft, h = 6.8 ft.
Hence the area is given as follows:
A = 0.5 x 10 x 6.8
A = 34 ft².
More can be learned about the area of a triangle at brainly.com/question/21735282
#SPJ1
what is truth..........................................................................................................................................
Answer:
nothing is truth
Step-by-step explanation:
because this world is like a circle
Complete the following problems.
2. Lola Segal needs to take out an installment loan of $1,200 to pay for auto repairs. Walton Savings and Loan will lend her the money at 9% for 12 months. Horton finance company at 12% for 24 months. How much will she save by taking the loan with the lower finance charge?
By choosing the loan with the lower finance charge, Lola would save $180 ($288 - $108).
How to solveLola Segal should choose the loan with the lower finance charge to save money.
At Walton Savings and Loan, with a 9% interest rate for 12 months, the total interest she would pay is $108 (9% of $1,200).
At Horton Finance Company, with a 12% interest rate for 24 months, the total interest she would pay is $288 (12% of $1,200).
By choosing the loan with the lower finance charge, Lola would save $180 ($288 - $108).
Read more about finance here:
https://brainly.com/question/989344
#SPJ1
Select the correct answer. Choose the system of Inequalities that best matches the graph below. y 5 4 X 1 6 41 O A. y < 2x ya
First, we have to find the equation of the blue and red lines.
Blue line.Let's use the points (-3, 0) and (0, 1). We use the slope formula.
\(m=\frac{y_2-y_1}{x_2-x_1}\)Replacing the points, we have.
\(m=\frac{1-0}{0-(-3)}=\frac{1}{3}\)The equation of the blue line is
\(y=\frac{1}{3}x+1\)Red line.Let's use the points (1,1) and (2,3).
\(m=\frac{3-1}{2-1}=\frac{2}{1}=2\)The equation of the red line is
\(y=2x-1\)Then, we find the inequality signs for each equation. Notice that the area of the solution is above the blue line and on top of the red line.
So, the inequalities are\(\begin{gathered} y\leq\frac{1}{3}x+1 \\ y\ge2x-1 \end{gathered}\)what is the answer
for this
Answer: 2.5 // 2 1/2
Step-by-step explanation:
1/2 + 1/2 = 1
3/4 + 3/4 = 6/4 = 1 1/2
1 + 1 1/2 = 2 1/2
2 1/2 = 2.5
i need help with #9 anyone know how to do it?
Answer:
7. P(q) = 60 -0.03(x -80)²
8. P(q) = -0.03x² +4.8x -132
9. q = 35 balloons
10. see attached
Step-by-step explanation:
You want the profit equation, break-even sales, and a graph for a party supply company that makes a maximum profit of $60 when they sell 80 balloons, and a profit of $33 when they sell 50 balloons.
7. Quadratic equationIf the profit is described by a quadratic equation with a maximum at (quantity, dollars) = (80, 60), and a point on the curve of (50, 33), we can write the equation in two steps.
The vertex-form equation will look like ...
P(q) = 60 -a(q -80)² . . . . . for some scale factor 'a'
We want P(50) = 33, so we have ...
P(50) = 33 = 60 -a(50 -80)²
33 = 60 -900a
a = (60 -33)/900 = 3/100 = 0.03
The profit equation is ...
P(q) = 60 -0.03(q -80)²
8. Standard formExpanding the equation gives ...
P(q) = 60 -0.03(q² -160q +6400)
P(q) = -0.03q² +4.8q -132
9. Break-evenThe profit is zero at ...
P(q) = 0 = 60 -0.03(q -80)²
0.03(q -80)² = 60
(q -80)² = 2000 . . . . . . . . divide by 0.03
q = 80 ±20√5 = 35.3 or 124.7 . . . . . take the square root, add 80
The store will no longer make a profit when sales drops to 35 balloons.
10. GraphThe attachment shows a graph of the profit function.
__
Additional comment
You can find where the profit goes to zero using the graph, the quadratic formula, or by solving it using vertex form, as above. The graph is quick and easy; using the vertex form equation works nicely.
Selling 36 balloons will result in a profit of $1.92.
<95141404393>
will give brainliest
Answer:
About 8.2 cm
Step-by-step explanation:
Assuming that a is one of the legs of this right triangle, then using the Pythagorean Theorem:
\(a=\sqrt{15.3^2-12.9^2}\approx 8.2\)
Hope this helps!
There were 44 dogs and cats at the pet store if 75% were cats how many cats were at the pets store?
Answer:
33.
Step-by-step explanation:
75% x
100 44
x = (44 * 75 ) / 100 = 33.
La empresa clarisse dedicada al rubro de telefónica, está ampliando su cobertura, debido a esto está colocando postes, donde la séptima parte de un poste está enterrada, y sobresale del suelo 25 metros. Calcular la altura del poste aproximado a los centímetros.
The approximate height of the pole in centimeters is 17,500 centimeters.
We have,
Let's start by calculating the total length of the pole, which is buried plus the part that protrudes from the ground.
We know that the part that protrudes is 25 meters and that it represents one-seventh of the total length.
25 = L/7
where L is the total length of the pole.
We can solve for L by multiplying both sides of the equation by 7:
L = 7 x 25
= 175 meters
Now we need to convert this length to centimeters.
Since 1 meter is equal to 100 centimeters,
175 meters x 100
= 17,500 centimeters
Therefore,
The approximate height of the pole in centimeters is 17,500 centimeters.
Learn more about unit conversion here:
https://brainly.com/question/13899873
#SPJ1
The complete question.
The Clarisse company, dedicated to the telephone business, is expanding its coverage, due to this, it is placing poles, where the seventh part of a pole is buried, and protrudes 25 meters from the ground. Calculate the approximate height of the pole in centimeters.
PLEASE HURRY DUE TODAY WILL MARK BRAINLESTIS RIGHT
what is √29 Place a dot on the number line at the BEST approximation
Answer:
5.4
Step-by-step explanation:
square of 29 = 5.385164807
5.385164807 estimated is 5.4
85 is ___ tens and 25 ones
Answer:
6
Step-by-step explanation:
Because 25 ones is 25
So 85 - 25 = 60
60 = 6 tens
a) __m=10km 25m =___km
b) __m=__km__m=1.5 km
Answer:
0.01m=10km
25m=25000km
1m=1000km
0.0015m=1.5km
If this is incorrect forgive me plz
I hope this will help you
Celeste is planting a rectangular flower garden in which the width will be 4 feet less than its length. She has decided to put a birdbath within the garden that will occupy a space 3feet by 4 feet how many feet are now left for planting? Express your answer on factored form
Answer:
(L-6)(L+2)
Step-by-step explanation:
Let L be the length of the flower garden.
Then the width will be L-4.
The area of the flower garden = L*(L-4) =L²-4L
The area of the birdbath is 3*4 = 12 ft²
The area of the remaining space for planting is
= Area of flower garden - area of birdbath
L² - 4L - 12We can factor the expression as follows:
L² - 4L - 12 L²-(6-2)L-12L²-6x+2x-12taking common frome each two terms
L(L-6)+2(L-6)(L-6)(L+2)Therefore, the number of feet left for planting is (L-6)(L+2) in factored form.
15 is 37 1/2 of what number?
Answer: 40
Step-by-step explanation:
15 / 37.5 x 100 = 40
show that after choosing a basis the vector space of linear functions l(v,w) from v to w is isomorphic to m mn where m
A linear transformation L: V→W is called an isomorphism if it is a bijection. Two vector spaces are called isomorphic if there is an isomorphism mapping one of the spaces onto the other.
Often two vector spaces can consist of quite different types of vectors but, on closer examination, turn out to be the same underlying space displayed in different symbols. For example, consider the spaces
R² = {(a, b) | a, b ∈ R} and P₁= {a+bx|a,b ∈ R}
Compare the addition and scalar multiplication in these spaces:
(a,b) + (a₁,b₁) = (a+a₁, b+b₁) (a+bx) + (a₁+b₁x) = (a+a₁) + (b+b₁)x
r(a,b) = (ra,rb) r(a+bx)=(ra)+(rb)x
To know more about linear transformation:
https://brainly.com/question/20366660
#SPJ4
If 0 = 17/4, then find the exact values for the following: sec(0) =_________ csc(0) = _________ tan(0) = _________ cot(0) = _________
The exact values for the following:
Sec(0) = -2.2417
Csc(0) = -1.1173317211
Tan(0) = 2.00630902786
Cot(0) = 0.4984
What are the trigonometric identities?Equations using trigonometric functions that hold true for all possible values of the variables are known as trigonometric identities.
Given:
0 = 17/4.
Then the exact values for the following:
Sec(0) = 1 / cos(17/4) = -2.2417
Csc(0) = 1/ sin(17/4) = -1.1173317211
Tan(0) = tan(17/4) = 2.00630902786
Cot(0) = 1/ tan(17/4) = 0.4984
Therefore, the exact values are given above.
To learn more about the trigonometric identities;
https://brainly.com/question/24377281
#SPJ1
HELP WILL GOVE BRAINLIEST FOR CORRECT ANSWER
Which of the following is a correct tangent ratio for the figure?
A) tan(39°) = 11/15
B) tan(11°) =39/15
C) tan(11°) = 15/39
D) tan(39°) = 15/11
Answer:
A is the correct answer .
Step-by-step explanation:
Hope it helps dear .
Answer:A
Step-by-step explanation:
I took the test
Use the image to determine the direction and angle of rotation.
graph of triangle ABC in quadrant 4 and a second polygon A prime B prime C prime in quadrant 2
90° clockwise rotation
90° counterclockwise rotation
180° clockwise rotation
270° counterclockwise rotation
The angle of rotation for the described transformation is
180° clockwise rotationHow to know the angle of rotationThe movement or transformation described is form quadrant 4 to quadrant 2.
The transformation will require 180 degrees transformation.
In this type of transformation, both clockwise and the counter clockwise have similar effects
Learn more about angle of rotation at
https://brainly.com/question/2078551
#SPJ1
A rectangular patio has a length of (1 + 2x) yards and a width of (2 - 3x) yards. Which correctly describes the area and perimeter of the patio?
Area of the patio is -6x² + x + 2 square yards and perimeter of the patio is 6 - 2x yards.
What is a yard?A yard is a unit of measurement used to measure length or distance in both the US customary system and the British imperial system. One yard is equal to 3 feet or 36 inches. In the US customary system, a yard is equal to 0.9144 meters, while in the British imperial system, it is equal to 0.9144 meters or 3 feet. Yards are commonly used for measuring larger distances, such as in construction or landscaping, as well as in some sports like American football and cricket.
The area of the rectangular patio is given by multiplying its length by its width, so the area is:
A = (1 + 2x)(2 - 3x)
Now using distributive property we get,
A = 2 - 3x + 4x - 6x²
Simplifying further, we get:
A = -6x² + x + 2
Therefore, the area of the patio is described by the quadratic equation -6x² + x + 2.
To find the perimeter of the patio, we add up the lengths of all four sides. The length and width are given as (1 + 2x) and (2 - 3x), respectively, so the perimeter is:
P = 2(1 + 2x) + 2(2 - 3x)
Simplifying this expression, we get:
P = 2 + 4x + 4 - 6x
P = 6 - 2x
Therefore, the perimeter of the patio is described by the linear equation 6 - 2x.
To know more about yard visit:
brainly.com/question/14516546
#SPJ1
What two numbers have a product of 10 and a sum of 7?
Answer:
the sum of 10 and the product of 7 and a number 2+5=7 2*5=10
Step-by-step explanation:
Answer:
2 and 5.
Step-by-step explanation:
5 x 2 equals 10! Their product equals 10
5 + 2 equals 7! Their sum equals 7.
The numbers 2 and 5 have the product 10 and sum 7.
help me please i would appreciate it so so much
Answer:
w = 120
x = 60
y = 120
z = 60
Step-by-step explanation:
w = 120 (vertically opposite angles)
sum of co interior angles is 180
⇒ w + x = 180 and x + y = 180
w + x = 180
⇒ 120 + x = 180
⇒ x = 180 - 120
⇒ x = 60
x + y = 180
⇒ 60 + y = 180
⇒ y = 180 - 60
⇒ y = 120
z = x (corresponding angles)
z = 60
On a standardized test, the mean is 37 and the standard deviation is 2.5. Approximately what percent of the scores fall in the range 32 - 42 ?
A) 68%
B) 95%
C) 34%
D) 99%
Answer:
B) 95%
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 37, standard deviation = 2.5
Approximately what percent of the scores fall in the range 32 - 42 ?
32 = 37 - 2*2.5
So 2 standard deviations below the mean
42 = 37 + 2*2.5
So 2 standard deviations above the mean.
This question is the percentage of scores within 2 standard deviations of the mean, so, by the Empirical Rule, it is 95%, option B.
A toy company is releasing a new catapult for water balloons that launches them at 9.8 meters per second from a stand 0.6 meters tall. The function f(x) = −4.9x2 + 9.8x + 0.6 describes the path of the water balloon, where x is the amount of time since the launch.
While the mathematical range is y ≤ 5.5, how does the reasonable range compare?
The reasonable range is limited to y ≥ 0.
The reasonable range is limited to y ≥ 0.6.
The reasonable range is limited to 0 ≤ y ≤ 5.5.
The reasonable range is limited to 0.6 ≤ y ≤ 5.5.
Answer: The answer is D
Step-by-step explanation: got it form edge
Answer:
its the 3rd option actually The reasonable range is limited to 0 ≤ y ≤ 5.5.
Step-by-step explanation:
edge
Construct a perpendicular to
AB at A and at B (Hint: Extend AB)
Answer:
draw a line above or below the figure going the same way
Step-by-step explanation:
We can construct a perpendicular to AB at A and at B by making the intersecting lines.
What is a perpendicular line?Lines that intersect at a right angle are named perpendicular lines. Lines that are always the same distance apart from each other are known as parallel lines.
The procedures listed below can be used to create a perpendicular from a point to a line:
To cross the line segment, draw two arcs.
Create two additional intersecting arcs.
Connect the initial point to the intersection of the arcs.
Drawing the line segment for the specified measurement is the step in creating a line segment. Mark the line's point after that, and then set the compass on it. Now, draw an arc on either side of the given line. Draw another arc without changing the compass' settings.
Thus, we can construct a perpendicular to AB at A and at B by making the intersecting lines.
Learn more about the perpendicular line here:
brainly.com/question/18271653
#SPJ2
1. Your family is getting wall to wall carpeting installed in your living room and den. Their floor
plan is shown below. If carpeting is sold in 2 x 1 square yard pieces, how many do you
need to buy to cover the floor?
5 yd
living
room
7 yd
den
4yd
3 yd
Total to buy to cover the floor is,
= 54 yards²
Given that;
Your family is getting wall to wall carpeting installed in your living room and den.
And, carpeting is sold in 2 x 1 square yard pieces.
Now, We get;
Total area of floor is,
A = (7 x 3 ) + (2 x 3)
A = 21 + 6
A = 27 yards²
Since, Carpeting is sold in 2 x 1 square yard pieces.
Hence, Total to buy to cover the floor is,
= 27 x 2 x 1
= 54 yards²
Thus, Total to buy to cover the floor is,
= 54 yards²
Learn more about the multiplication visit:
https://brainly.com/question/10873737
#SPJ1
What is the shape of the distribution shown below? Choose 1 answer: Choose 1 answer: (Choice A) A The distribution is left-tailed. (Choice B) B The distribution is approximately symmetrical. (Choice C) C The distribution is right-tailed. A dot plot titled, Snow days each year at Chalden Middle School, has a horizontal axis labeled, Number of snow days, from 0 to 10, in increments of 1. The number of dots above each number of days is as follows. 0, 8; 1, 10; 2, 7; 3, 6; 4, 3; 5, 2; 6, 1; 8, 1.
Using the dot plot, it is found that the correct option regarding the distribution is given by:
C The distribution is right-tailed.
What does a dot plot shows?The dot plot shows the number of times each measure appears in the data-set.
In the given dot plot, that has points (0,8), (1,10), ..., (8,1), most measures are at the small values, and as the input increases, the measures decreases, hence the graph has a right-tailed distribution, which means that option C is correct.
More can be learned about dot plots at https://brainly.com/question/24912483
#SPJ1
Write the expression that represents the area of the rectangle shown.
Answer:
A = Length × breath
A = 3 × 7
A = a × 4
A = m × m
You have decided to purchase a new Toyota 4Runner for $25,635. You have promised your daughter that the SUV will be hers when the car is worth $10,000. According to your car dealer, the suv will depreciate in value approximately $3,000 per year
graph of linear equation
The linear equation representing the depreciation in value of SUV of approximately 3000 per year is $10000 = -3000x + $25,635.
What is the slope intercept form of a line ?
The equation of line that can be written as y = mx + c, where m is the slope and c is the line's y-intercept, is known as a slope intercept form.
It is given that you have to purchase a new Toyota 4Runner at cost $25635. But you have promised your daughter that SUV will be hers if car has the worth $10000.
The depreciation in value is of $3000 per year.
We can write it in form of linear equation in slope intercept form as :
y = mx + c
Let's assume : the cost at which you want to purchase the car and give it to your daughter.
y = the cost at which you want to purchase the car and give it to your daughter = $10000
m = the slope which represents rate of depreciation per year = - 3000
c = cost of SUV before any type of depreciation occurs = $25,635
x = time after which the depreciation price of SUV will be $10000.
i.e.,
The resulted linear equation will be "
$10000 = -3000x + $25,635
or
x = 5 years (approximate)
Therefore , the linear equation representing the depreciation in value of SUV of approximately 3000 per year is $10000 = -3000x + $25,635.
Learn more about slope intercept form here :
brainly.com/question/18594541
#SPJ2
Graph the set of points. Which model is most appropriate for the set?
(-2,3), (-1,-3), (0, -5), (1, -3), (2,3)
Model B is the most appropriate for the set (-2,3), (-1,-3), (0, -5), (1, -3), (2,3).
What is Linear, Quadratic, & Exponential Models?A mathematical model that may be expressed as a series of quadratic equations or as a quadratic equation, such as Y = aX2 + bX + c. When a quadratic equation is graphed, the connection between the variables is represented by a parabola.The y-values in a linear connection differ by an equal amount. The y-values have identical ratios in an exponential relationship.First differences are constant in linear functions. Second differences in quadratic functions are always the same. A constant ratio characterises exponential functions.Based on an equation like: where Y = deterioration, T = time, and A and B = parameters to be calculated by the regression approach based on historical data, the exponential model represents the degradation failure process.Learn more about Linear, Quadratic, & Exponential Models refer to :
https://brainly.com/question/29929981
#SPJ1
How many payments must be made for a 5 1/2 year loan
Answer:66
Step-by-step explanation:
5year loan is 60 5x12=60
In the number 725.78, how does the value of the 7 in the tenths place compare to the value of the 7 in the hundreds place?
Answer:
C. 1/1,000
Step-by-step explanation:
yes or no ?