The length has a value of 9 meters
How to determine the length of the rectangle?From the question, we have the following parameters that can be used in our computation:
Length = 5 meters less twice it’s width
This means that
Length = 2Width - 5
The perimeter is given as
Perimeter = 38 meters
The perimeter is calculated as
Perimeter = 2 x (Length + Width)
So, we have
2 x (2Width - 5 + Width) = 38
Divide by 2
2Width - 5 + Width = 19
This gives
3Width= 21
Divide
Width - 7
Recall that Length = 2Width - 5
So, we have
Length = 2 * 7 - 5
Evaluate
Length = 9
Hence, the length is 9 meters
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6. Write the equation for the line: (Hint: there are two points given to you!) 1 (3-1) 4 Homework Packet 3,1-3143.pdf hit ng
. Write the equation for the line: (Hint: there are two points given to you!)
________________________
y= mx + b
the slope is m
or
(y - y1) = m (x - x1)
___________________
points (x,y)
point 1 (4, 4) x1 = 4; y1 = 4
point 2 (3 , -1) x2= 3; y2 = -1
The slope m = (y2- y1) / (x2 -x1)
m=(-1 - 4 )/( 3 - 4)
m= -5/-1 = 5
(In this case, you choose which point you want to put as point one and point two, you will always get the same answer)
____________________
(y - 4) = 5 (x - 4)
y= 5x -20 +4
y= 5x - 16
The equation for the line is y= 5x - 16
__________________
Do you have any questions regarding the solution?
A girl scout troop hiked 6.8 miles southeast in 2 hours. What was the troop’s velocity?
Answer:
1.5 m/s
Step-by-step explanation:
Distance = 6.8×1609.344 = 10943.5392
time=2×60×60 = 7200
velocity= distance/time = 10943.5392/7200= 1.51 m/s
Quadrilateral ABCD is dilated with center
( 0, 0 ), taling B to B' . Draw A' B' C' D' .
Answer:
See the picture below
Step-by-step explanation:
write a phrase for each expression
X - 6
The phrase of the expression x - 6 is 6 less than a number.
Expression:
The expression refer the sentence with a minimum of two numbers/variables and at least one math operation in it.
Given,
Here we have the expression x -6.
And we need to convert this expression in order to get the phrase form.
In order to get the phrase form, we have to translate the given expression into word.
While we looking into the given expression we have identified the following three terms.
They are, x , (-) and 6.
Here x represents the unknown number.
(-) represents that we have to less the unknown number by the given number.
And 6 is the given number.
So, the phrase for this situation is 6 less than a number.
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I need answer to this question if you could help me?
Answer:
78.5 square meters
Explanation:
• Given:, A circle with a radius of 5 meters.
,• To find:, Area of the circle
The area of a circle is calculated using the formula:
[tex]A=\pi r^2[/tex]Substitute 5 for r and 3.14 for π:
[tex]\begin{gathered} A\approx3.14\times5^2 \\ =78.5\text{ square meters} \end{gathered}[/tex]The area of the circle is approximately 78.5 square meters.
Select the correct answer.
Which of the following represents a function?
A. The first graph
B. The second graph
C. {(0,1), (3,2), (-8,3), (-7,2), (3,4)}
D.
x -5 -1 9 8 -1
y 1 7 23 17 1
The relation that represents a function is given as follows:
B. The second graph.
When does a relation represents a function?A relation represents a function if each value of the input is mapped to only one value of the output, that is, one input cannot be mapped to multiple outputs.
For a point in the standard format (x,y), we have that:
x is the input.y is the output.The meaning is that the input given by the x-coordinate is mapped to the output given by the y-coordinate.In a graph, the equivalent to this is that there can be no vertically aligned points.
Then, for the options in this problem, we have that:
a does not represent a function, as the input -1 is mapped to two outputs, meaning that there are vertically aligned points.b represents a function, as each input value(-4, 9, 13 and -7) is mapped to only one output.c does not represent a function, as the input 3 is mapped to two outputs.d does not represent a function, as the input -1 is mapped to two outputs.More can be learned about relations and functions at https://brainly.com/question/12463448
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What is 102 divided by 105?
Answer:
102 / 105 = 0.971428571
Step-by-step explanation:
i used a calculator c:
How to factorize this?
[tex]5x {}^{3} - 9x { }^{2} - 17x - 3[/tex]
The expression when factorized is (5x + 1)(x + 1)(x - 3)
How to factorize the expression?From the question, the expression is given as
5x³ - 9x² - 17x - 3
Express 9x² as 5x² - 15x² + x²
So, we have
5x³ - 9x² - 17x - 3 = 5x³ + 5x² - 15x² + x² - 17x - 3
Express -17x as x - 3x - 15x
So, we have
5x³ - 9x² - 17x - 3 = 5x³ + 5x² - 15x² + x² + x - 3x - 15x - 3
Rearrange the terms
5x³ - 9x² - 17x - 3 = 5x³ + 5x² - 15x² - 15x + x² + x - 3x - 15x - 3
Group the terms in 4's
5x³ - 9x² - 17x - 3 = (5x³ + 5x² - 15x² - 15x) + (x² + x - 3x - 15x - 3)
Factorize each group
5x³ - 9x² - 17x - 3 = 5x(x² + x - 3x - 3) + 1(x² + x - 3x - 3)
So, we have
5x³ - 9x² - 17x - 3 = (5x + 1)(x² + x - 3x - 3)
Factorize x² + x - 3x - 3
5x³ - 9x² - 17x - 3 = (5x + 1)(x(x - 3) + 1(x - 3))
So, we have
5x³ - 9x² - 17x - 3 = (5x + 1)(x + 1)(x - 3)
Hence, the factorized expression is (5x + 1)(x + 1)(x - 3)
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An economy size car can travel 32 miles for each gallon of gasoline. The function d(g) = 32g represents the distance traveled in miles, d(g), that the car can travel with g gallons of gasoline. Find d(30).
*Type in your answer.
d(30) = miles
The number of miles to drive for 30 gallons is 960 miles
How to determine the function value?From the question, the function definition is given as
d(g) = 32g
Where g represents the number of gallons and d represents the distance
The function value to calculate is given as
d(30)
This means that we calculate the number of miles to drive for 30 gallons
So, we have
d(30) = 32(30)
This gives
d(30) = 32 x 30
Evaluate the product
d(30) = 960
Hence, the function value is d(30) = 960
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during an election, a group of 4 council members must be selected from a group of 18 people running for these positions. how many such selections are possible?
The possible number of ways of selection by using combination formula is 3060.
What is combination?
A grouping of items where the order in which they were chosen is irrelevant is known as combination.
Given that the number of people in the group is 18. Only 4 people will be member of the council.
The formula of combination is [tex]^{n}C_{r}=\frac{n!}{r!(n-r)!}[/tex] , where r number of objects are selected from n objects.
In the given question the value of n is 18 and the value of r is 2.
Substitute the value of n and r in [tex]^{n}C_{r}=\frac{n!}{r!(n-r)!}[/tex].
[tex]^{18}C_{4}=\frac{18!}{4!(18-4)!}[/tex]
Solve the above expression:
18^C_4 = 18x17x16x15x14/4x14
18^C_4 = 18x17x16x15/4x3x2x1
3060 18^C_4 = 3060
The number of ways such selection is 3060.
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Suppose you work for a large coffee distributor that has a secret coffee blend it sells to local stores. You mix the House blend with the Organic Free Trade blend, but always in the same proportion. Yesterday, you mixed 140 pounds of the House blend with 168 pounds of the Organic Free Trade blend. Today, there is 130 pounds of the House coffee left in stock. How many pounds of the Organic Free Trade coffee should you mix with it to get your secret blend?
The ratio House blend/Organic Free Trade blend is the same and must remain the same.
So, the proportion is:
[tex]\frac{140}{168}=\frac{130}{x}[/tex]Where x is the unknown amount of the Organic Free Trade blend.
So, from the proportion, we have:
[tex]\begin{gathered} 140\cdot x=168\cdot130 \\ 140x=21840 \\ \frac{140x}{140}=\frac{21840}{140} \\ x=156 \end{gathered}[/tex]Answer: 156 pounds of Organic Free Trade blend
What is the value of the missing segment? there is a ? , 4., 5 and 10
Step-by-step explanation:
I assume the ? is the left leg of the left triangle.
the middle line (right leg of the smaller left triangle, and the left leg of the larger right triangle) bisects the top angle of the main large triangle (because the top angles left and right from the middle line are equal).
that means per the angle bisector theorem
5 / 4 = 10 / ?
5 = 10×4/? = 40/?
?×5 = 40
? = 40/5 = 8
Using the distributive property, rewrite this equation and put the correct numbers in place of the blanks.
8 • 52 = (
•
) + (
•
The equation using the distributive property is 8 (5 + 2) = (8 × 5) + (8 × 2)
Given,
The equation: 8 ( 5 + 2) = (__×___) + (___×__)
Distributive property:
The distributive property states that multiplying the sum of two or more addends by a number yields the same outcome as multiplying each addend separately by the number and combining the resulting products.
Here,
8 (5 + 2)
Using distributive property open the brackets:
8 (5 + 2) = (8 × 5) + (8 × 2)
Now,
8 (5 + 2) = 40 + 16
That is,
8 (5 + 2) = 56
So,
The equation using the distributive property is 8 (5 + 2) = (8 × 5) + (8 × 2)
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The perimeter of a rectangular garden is 252 feet. If the width of the garden is 53 feet , what is its length
The perimeter of a rectangle is given by:
[tex]P=2l+2w[/tex]Where:
P = perimeter = 252 ft
w = width = 5 ft
l = lenght
Then, substitute the values:
[tex]252=2l+2(53)[/tex]And solve for l:
[tex]\begin{gathered} 252=2l+106 \\ 252-106=2l+106-106 \\ 146=2l \\ \frac{146}{2}=\frac{2l}{2} \\ l=73 \end{gathered}[/tex]Answer: length = 73 ft
Which rule explains why these triangles are congruent?
Answer:
SAS Congruence Rule
A triangle is said to be congruent to each other if two sides and the included angle of one triangle is equal to the sides and included angle of the other triangle.
Answer: SAS (side side angle postulate.)
Step-by-step explanation:
can be used to prove triangles congruent.
sides and the corresponding angle of the other, then the triangles are congruent.
The largest y-value of the function is called thefunction.value of the
As the y-values of a function are the values that the function takes, the largest y-value of a function is called the maximum value of the function
Answer: maximumCan someone please answer this!
Answer: see the attachment
Step-by-step explanation:
h = # of hours worked
{10h and {15(h-40)+400 are both functions i.e. simplified equations
simply fit the # of hours worked in each equation to get the values. you can also double check your work or to understand better
to do so, take (h) # of hours worked and multiply by the pay rate. This gives the total pay over the work week. then take the extra hours beyond the 40. ie 7. if $10 is the pay rate per hour and OT is 1.5xnormal pay then 10x1.5=15. Multiply 15x7 and you get 105 then add to 400 and you get $505. 400 comes from 10(40).
part b and c is just setting the functions.
so instead of 40 hrs per week your full-time rate is now 38 and anything beyond would be counted as overtime. so a normal work week of 38 hrs x the $10/hr would equate to $380 for the week.
part c, if the hours per week were kept normal at 40hrs/week but the pay rate is increased this then changes 10 = h to 12 = h. if 12=h and you work 40hrs/week, then 12(40)=$480 for the normal work week. also this changes your OT pay from 10(1.5)=15 to 12(1.5)=$18
Teresa surveyed 100 students about whether they like pop music or country music. Out of the 100 students surveyed, 41 like only pop, 35 only like country, 11 like both pop and country, and 13 do not likeeither pop or country. Complete the two-way frequency table.
we have
see the attached figure to better understand the problem
please wait a moment (to fill the table)
(40 points) need answer asap the x=38
Convert 450 liters into fluid ounces. Round your answer to the nearest whole number.
Answer:15216.31 Fluid Ounces
Step-by-step explanation:
4. Mark's age, when doubled, is Peggy's age. Peggy is 6 years older than Chris. Chris is 6 years older than
Mark. How much older is Peggy than Mark?
(10, 10) А (2, 4) Find point C so that that the ratio of length Ad to the length of CB is 3:1
ANSWER
[tex](8,8.5)[/tex]EXPLANATION
When a line segment is divided by ratio m:n, the coordinates of the point of division are given as:
[tex](\frac{mx_2+nx_1}{m+n},\frac{my_2+my_1}{m+n})[/tex]where (x₁, y₁) and (x₂, y₂) are the coordinates of the ends of the line.
Therefore, we have that:
[tex]\begin{gathered} m=3;n=1 \\ (x_1,y_1)=(2,4) \\ (x_2,y_2)=(10,10) \end{gathered}[/tex]Therefore, the coordinates of point C are:
[tex]\begin{gathered} (\frac{3\cdot10+1\cdot2}{3+1},\frac{3\cdot10+1\cdot4}{3+1}) \\ (\frac{30+2}{4},\frac{30+4}{4}) \\ (\frac{32}{4},\frac{34}{4}) \\ (8,8.5) \end{gathered}[/tex]Those are the coordinates of C.
WILL MARK BRAINLIEST FOR THE BEST AND MOST ANSWERED OUT REPLY
1. A recent election poll claims that Candidate A is projected to win the election with 53% of the vote. If a sample of 2436 voters is polled, determine if Candidate A can be guaranteed a win with 95% confidence.
Select an answer
a. yes
b. no
c. Not enough information
Explain why or why not using two sentences.
Using percentages we can conclude that 95% of votes that is 2,314 votes (B) cannot be guaranteed which is 1,023 votes more than the projected 53% winning votes (1,291 votes).
So, candidate A has a projection of winning 53% votes.
A sample of 2436 voters is pulled, then:
2436/100 × 53 = 1,291 votesCan candidate A be guaranteed 95% votes which are:
2436/100 × 95 = 2,314 votesDifference: 2,314 - 1,291 = 1,023
Therefore, using percentages we can conclude that 95% of votes that is 2,314 votes (B) cannot be guaranteed which is 1,023 votes more than the projected 53% winning votes (1,291 votes).
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Given vectors a=(-2, 1) and b = (5, 4), find 5a - 3b.Write your answer in component form.5a - 3b = (0)X 5? ?
In order to find 5a-3b, lets find 5a. This is given by
[tex]\begin{gathered} 5a=5(-2,1) \\ 5a=(-10,5) \end{gathered}[/tex]Similarly, -3b is given by
[tex]\begin{gathered} -3b=-3(5,4) \\ -3b=(-15,-12) \end{gathered}[/tex]Then, by substituting our results into the expression 5a-3b, we get
[tex]5a-3b=(-10,5)+(-15,-12)[/tex]This can can be done by adding entry by entry, that is
[tex]5a-3b=(-10-15,\text{ 5-12)}[/tex]Therefore, the answer is
[tex]5a-3b=(-25,-7)[/tex]Rob counted the boxes of cereal in a grocery store with different sizes and numbers of prizes. Mini size Regular size Jumbo size 5 3 3 One prize Two prizes 3 4 5 Are the events "the box of cereal contains one prize" and "the box of cereal is regular size" independent? yes no
The events are independent because there is no evidence of dependece between the events, the box can contain one or two prices or be any size.
WHATS THE ANSWER PLSZ HELP
Answer:
a. 0.8 = 0.5 + 0.3
b. 30.9 = 2.7 + 28.2
c. 15.4 = 3.1 + 2.4 + 9.9
d. 17.4 = 15.2 + 1.4 + 0.8
e. 42.5 = 39.2 + 2.5 + 0.8
f. 8 = 4 + 4
g. 35 = 23 + 8 + 4
h. 84 = 53 + 3 + 28
i. 121 = 11 + 17 + 93
j. 35 = 24 + 8 + 3
On the spinner show
We want to know what's the probability of spinning a number greater than two
There are 2 spinnings greater than two, of a total of 8. therefore, the probability I will be
[tex]\frac{\text{favorable cases}}{\text{all cases}}=\frac{2}{8}=\frac{1}{4}[/tex]The probability is 1/4
Us the given info to evaluate all six trig functions. If theta is a special angle so state.
I need help with question six
The angle in the fourth quadrant associated with trigonometric function is 314.415°. The exact values of the six trigonometric functions are listed below:
sin θ = - 5 / 7 cos θ = 2√6 / 7 tan θ = - 5 / 2√6 cot θ = - 2√6 / 5 sec θ = 7 / 2√6 csc θ = - 7 / 5What is the angle associated with a given trigonometric function?In this problem we find the exact form of a trigonometric function and the related quadrant on a Cartesian plane. By definition of the sine function and the features of the sine, the exact value has the following form and conditions:
y / √(x² + y²) = - 5 / 7, x > 0, y < 0
Then,
y = - 5, √(x² + y²) = 7
√[x² + (- 5)²] = 7
x² + 25 = 49
x² = 24
x = √24
x = 2√6
Then, the angle associated to the trigonometric function is:
θ = tan⁻¹ (y / x)
θ = tan⁻¹ (- 5 / 2√6)
θ ≈ 314.415°
And the five other trigonometric functions are:
cos θ = 2√6 / 7
tan θ = - 5 / 2√6
cot θ = - 2√6 / 5
sec θ = 7 / 2√6
csc θ = - 7 / 5
The angle associated with trigonometric function is 314.415°.
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Jenny love to plant flowers.she has $30 to spend on flower plant flats .find the number of flats she can buy of the cost $4.98 each
Answer:
6
Step-by-step explanation:
We can round $4.98 up to $5.
Then do $30 / $5 = 6
Go back and check if 6 works:
$4.98 × 6 = $29.88 which is less than $30.
So the answer is 6
I need to find the value of x in this figure. I need to do it so that whatever x is, it can be substituted into the expressions
Remember: all the angles of a triangle = 180 degrees and other geometry stuff
please help :)
Answer:
x = 42
see below for the angle measures.
Step-by-step explanation:
The angle marked 2x - 9 is sort of outside the triangle. It is called an exterior angle. The other two angles are called remote interior angles. "Remote" means that they are away from the exterior angle. When you have this set up, the two remote angles added together EQUAL the exterior one.
x+5 + 28 = 2x - 9
x + 33 = 2x - 9
Subtract x.
33 = x - 9
Add 9.
42 = x
So x = 42° which if you put that back into the expressions you can find the measures of the one remote interior angle (the other we know is 28°) and the exterior angle.
remote int angle:
x+5
= 42 + 5
= 47°
Exterior angle:
2x - 9
= 2(42) - 9
= 84 - 9
= 75°
(You can also then find the completely unmarked angle which is 180°- 75° which is 105°)
