Answers
Check the picture below.
Related Questions
A triangle has side lengths of (5k - 7) centimeters, (k - 4) centimeters, and
(3m - 9) centimeters. Which expression represents the perimeter, in centimeters,
of the triangle?
Answers
Answer:
-6m and -6k
Step-by-step explanation:
(5k - 7) = -2k (k - 4) = -4k + -2k = -6k. (3m - 9) = -6m.
Expression 6k + 3m - 20 represents the perimeter, in centimeters, of the triangle which has side lengths of (5k - 7) centimeters, (k - 4) centimeters, and (3m - 9) centimeters.
1st side length = 5k - 7 centimeters
2nd side length = k - 4 centimeters
3rd side length = 3m - 9 centimeters
Now, the perimeter of a triangle is the sum of its three sides.
So, the expression representing the perimeter of the triangle would be the sum of these side lengths:
Perimeter = (5k - 7) + (k - 4) + (3m - 9)
Further, simplifying the expression by combining like terms:
Perimeter = 5k + k + 3m - 7 - 4 - 9
Perimeter = 6k + 3m - 20
So, the expression that represents the perimeter of the triangle is (6k + 3m - 20) centimeters.
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A water tank has volume of 300 m3. If the length and width of the tank is 5 m and 300 cm, find the height of the tank.
Answers
Answer:
volume=300m3
length=5m
width=300cm=300/100=3m
To find: height of tank .
so,
volume=l×b×h
300=5×3×h
300/15=h
finally,h=20m
Determine the x-intercept for 3x + 2y = 14,
A)
(7,0)
B)
(0,7)
C)
2,0)
D)
(0,14
Answers
y-intercepts (0,7)
Answer:
X-intercept: [tex](\frac{14}{3}, 0)[/tex].
Y-intercept: (0, 7) ⇒ Option B.
Step-by-step explanation:
I'm not certain whether the question asks for either the x-intercept or the y-intercept, but I will provide the answers for both since none of the given options matches the coordinates of the x-intercept.
X-intercept:The x-intercept is the point on the graph where it crosses the x-axis, with coordinates of (a, 0). The x-intercept is the value of x when y = 0.
Given the linear equation in standard form, 3x + 2y = 14, set y = 0 to solve for the x-intercept:
3x + 2y = 14
3x + 2(0) = 14
3x + 0 = 14
3x = 14
Divide both sides by 3 to solve for x:
[tex]\frac{3x}{3} = \frac{14}{3}[/tex]
[tex]x = \frac{14}{3}[/tex]
Therefore, the x-intercept is [tex](\frac{14}{3}, 0)[/tex]. None of the given option matches the value of the x-intercept.
Y-intercept:The y-intercept is the point on the graph where it crosses the y-axis, and has coordinates of (0, b). It is the value of y when x = 0.
Set x = 0, and substitute into the given equation.
3x + 2y = 14
3(0) + 2y = 14
0 + 2y = 14
2y = 14
Divide both sides by 2 to solve for y:
[tex]\frac{2y}{2} = \frac{14}{2}[/tex]
y = 7
Therefore, the y-intercept is (0, 7), which matches Option B.
Please help. 7th grade homework. All of these has to be turned in by tomorrow morning.
Answers
The first photo: -47/20
The second photo: I can’t really see the photo, sorry!!
The third photo: For a it is 11/2 and for b it is -1/2.
The fourth photo:
I don’t really know what number 6 is asking? The one you circled. Where is the diagram?
Can someone please walk me through these 2 problems? I'm using the formula that the problem states but I have to be going wrong somewhere because all of my answers have been incorrect. The correct answers are below, but I have no idea how to get to them.
35: -13 - 34j volts
37: 28 + 57j volts
Answers
[tex]\boxed{35}~~ \begin{cases} I=2-7j\\ Z=4-3j \end{cases}\implies E=(2-7j)(4-3j) \\\\\\ \begin{array}{rllll} 4-3j\\ \times ~\hfill 2\\[-0.5em] \hrulefill\\ 8-6j \end{array}~~+ ~~ \begin{array}{rllll} 4-3j\\ \times ~\hfill -7j\\[-0.5em] \hrulefill\\ -28j+21j^2 \end{array}\qquad \implies 8-6j-28j+21j^2 \\\\[-0.35em] ~\dotfill\\\\ ~\hfill E=21j^2-34j+8~\hfill[/tex]
[tex]\boxed{36}~~ \begin{cases} I=3+10j\\ Z=6-j \end{cases}\implies E=(3+10j)(6-j) \\\\\\ \begin{array}{rllll} 6-j\\ \times ~\hfill 3\\[-0.5em] \hrulefill\\ 18-3j \end{array}~~+ ~~ \begin{array}{rllll} 6-j\\ \times ~\hfill 10j\\[-0.5em] \hrulefill\\ 60j-10j^2 \end{array}\qquad \implies 18-3j+60j-10j^2 \\\\[-0.35em] ~\dotfill\\\\ ~\hfill E=-10j^2+57j+18~\hfill[/tex]
tiana car traveled 111 miles on 3/8 1/2 hot dogs in 3 3/4 minutes. how many dogs did he eat in one minute
Answers
111/( 3/8) = x/ 1
Cross Multiply
(3/8)x = 111
Multiply both sides by 8/3 ; reciprocal
x = (8/3) (111)
x = 296 miles
The city commission would like to install new flagpoles that are each 15 yards tall. If there are 3 feet in 1
yard, how tall are the flagpoles in the model?
Answers
which option is correct?
Answers
Answer:
Option D
Step-by-step explanation:
It is a right triangle because AB ⊥ BC
The following section is a statement from the rental agreement Tim signed when he rented his car this past weekend.
"Upon checkout, the fuel level of the vehicle will be determined by turning the vehicle on and visually inspecting the fuel gauge. The approximate fuel level will be recorded on the Check-Out sheet and verified with initials by the vehicle Renter. One copy of the Check-Out sheet will be given to the customer. Another copy will be kept with the on-site records of the vehicle.
"The rented vehicle must be returned with a minimum fuel level the same as that indicated on the Check-Out sheet. A vehicle returned with a fuel level less than the approximate level indicated on the Check-Out sheet will be completely refueled with on-site pumps. The price of the fuel used to refuel the vehicle will be added to the Renter's total charge at a cost of $4.50 per gallon plus a $5.00 refueling charge."
Tim forgot to refuel the vehicle when he returned it. His Check-Out sheet indicates that the vehicle had about 1/2 of a tank left. The tanks is now nearly empty.
If it takes 11.75 gallons of gas to refuel the car Tim rented, how much extra should he expect to pay because he forgot to get gas?
a.
$26.44
b.
$31.44
c.
$52.88
d.
$57.88
Answers
Answer: D
Step-by-step explanation:
Tim should expect to pay an extra $52.88 because he forgot to refuel the car. option D is correct.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The car that Tim rented needed 11.75 gallons of gas to refill to the same fuel level as indicated on the Check-Out sheet.
Since the rental agency charges $4.50 per gallon of gas plus a $5.00 refueling charge, the cost of refueling the car will be:
11.75 gallons x $4.50/gallon + $5.00
= $57.88
Therefore, Tim should expect to pay an extra $57.88 because he forgot to refuel the car. The correct answer is (d).
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Name one problem-solving strategy and briefly describe how it can help you as a problem-solver.?
Answers
Answer:
Trial and error
Step-by-step explanation:
It can help you by testing mulitple solutions to decleare which one is best.
round to the nearest hundred 104,549 help 6th
grade
Answers
Explanation:
The 5 is the hundreds, so you would look at the number to the right, which is 4. The mid point of 549 would be 550. Anything greater than that number would be rounded to 600, but 449 is less than 550, therefore the number won’t be rounded up, leaving us with 500.
plssssssssssss answer for brainiest
Answers
Answer:
E = 120
F = 60
G = 120
H = 60
Step-by-step explanation:
Each square below represents one whole …. What percent is represented by the shaded area?
Answers
we see that one half of the square is shaded. therefore that’s 1/2. and to cover to a percentage, we multiply the fraction by 100%!
therefore: 1/2 x 100%= 50%
hope this helped❤️
Answer:
50%
Step-by-step explanation:
The diagonal line divides the square in half
I hope this help you
Rope that is cut 3/4 in length is cut into 2 pieces how long is each piece
Answers
For this question we can use the rules of multiplying fractions: 3/4 times 1/2
3 times 1 = 3
4 times 2 =8
The answer is 3/8 or 0.375
Like always, I need help :(
Answers
Answer:
The equation of the line is: x = 0
Write an equation of the line in slope-intercept form.
Answers
Answer:
y = x + 4
Step-by-step explanation:
From point (-1, 3) to point (0, 4), go up 1 (rise = 1) and go right 1 (run = 1).
slope = m = rise/run = 1/1 = 1
The y-intercept is b = 4
y = mx + b
y = x + 4
What does cross-sectional mean
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Answer:
exposed by making a straight cut through a solid form, especially at right angles to an axis.
"the cross-sectional area of the wood"
or
constituting a typical or representative sample of a larger group.
"a cross-sectional survey of high school students"
ig
The side of an equilateral triangle is 12. Its area is
Select one:
a. 72
b. 48
c. 144
d. 36 square root 3
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A≈62.35
..................
Answer is :
36 square root 3
Pls answer the rest for me I’ll give you brainilist
Answers
Answer:
29 x 8 = 191
62 x 19 = 1,178
8.7 x 12 = 104.4
11.9 x 4 = 47.6
45 x 6 = 270
. At a certain airport, 75% of the flights arrive on time. A sample of 10 flights is studied. a. Find the probability that all 10 of the flights were on time.
Answers
Answer:
0.5256
Step-by-step explanation:
X ~ B(10,0.75)
q = 1 - 0.75 = 0.25
Find the length of the hypotenuse, side c, of a right triangle with legs of length a = 4 and b = 5. Use a calculator to estimate the
square root to one decimal place.
Answers
answer:
6.4
Step-by-step explanation:
4^2+5^2=c^2
16+25
square root of 41
c^2=6.4
Find the line integral along the curve C from the origin along the x-axis to the point (6, 0) and then counterclockwise around the circumference of the circle x2 y2
Answers
Parameterize C by the two vector functions,
r(t) = (1 - t) (0, 0) + t (6, 0) = (6t, 0)
with 0 ≤ t ≤ 1, and
s(t) = (6 cos(t), 6 sin(t))
with 0 ≤ t ≤ π/2.
Then the line integral over C is equal to the sum of the line integrals over each path:
[tex]\displaystyle \int_C dS = \int_0^1 \|r'(t)\| \, dt + \int_0^{\frac{\pi}2} \|s'(t)\| \, dt[/tex]
[tex]\displaystyle \int_C dS = \int_0^1 \sqrt{6^2 + 0^2} \, dt + \int_0^{\frac{\pi}2} \sqrt{(-6\sin(t))^2 + (6\cos(t))^2} \, dt[/tex]
[tex]\displaystyle \int_C dS = 6 \int_0^1 dt + 6 \int_0^{\frac{\pi}2} dt[/tex]
[tex]\displaystyle \int_C dS = 6 + \frac{6\pi}2 = \boxed{6+3\pi}[/tex]
A company borrows $50,000 for 8 years at a simple interest rate of 13.5%. Find the interest paid on the loan and the total amount paid
The interest paid on the loan is $
The total amount paid is $
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Answer:
13.5%×50000=6750
this is interest paid on loan 6750
50000+6750=56750
The total amount paid
7.
V= lwh for w
What’s the explanation
Answers
Answer:
w=[tex]\frac{V}{lh}[/tex]
Step-by-step explanation:
just divide lh from both sides
if Vera is 3 times as old as Zoe and 2 times as old as Paul. And the sum of their ages is 33. what is Zoe's age?
Answers
Answer:
Zoe is 6 years old.
Step-by-step explanation:
Vera - V
Zoe - Z
Paul - P
V = 3Z
Z = [tex]\frac{1}{3}V[/tex]
V = 2P
P = [tex]\frac{1}{2}V[/tex]
V + Z + P = 33
[tex]V + \frac{1}{3}V + \frac{1}{2}V = 33[/tex]
[tex]\frac{6}{6} V + \frac{2}{6}V + \frac{3}{6}V = 33[/tex]
[tex]\frac{11}{6}V = 33[/tex]
[tex]V = 33 * \frac{6}{11}[/tex]
[tex]V = 3 * \frac{6}{1}[/tex]
[tex]V = 18[/tex]
V = 3Z
18 = 3Z
Z = 6
How many solutions does this equation have
-4(5-3x)=12x+20
A) no solution
B) one solution
C) two solutions
D) infinitely many solutions
Answers
Answer:
A) no solution
Step-by-step explanation:
It’s A Contradiction
Answer:
its one solution
Step-by-step explanation:
-20+12
Put the following equation of a line into slope-intercept form, simplifying all fractions. 4y-4x= -28
Answers
[tex] \Large{\boxed{\sf y = x - 7}} [/tex]
[tex] \\ [/tex]
Explanation:We are given a linear equation, and we would like to express it in slope-intercept form.
[tex] \\ [/tex]
[tex] \Large{\left[ \begin{array}{c c c} \underline{\tt Slope-Intercept \: Form \text{:}} \\ ~ \\ \tt y = mx + b \end{array} \right] } [/tex]
Where:
m is the slope of the line.b is its y-intercept.(x , y) is a point through which the line passes.[tex] \\ [/tex]
Given linear equation:
[tex] \sf 4y - 4x = -28 [/tex]
[tex] \\ [/tex]
To find the slope-intercept form of the equation, we have to solve for y.
First, add 4x to both sides of the equation:
[tex] \sf \longrightarrow 4y - 4x + 4x = -28 + 4x \\ \\ \\ \longrightarrow \sf 4y = 4x - 28 [/tex]
[tex] \\ [/tex]
Then, divide both sides of the equation by 4:
[tex] \sf \longrightarrow \dfrac{4y}{4} = \dfrac{4x - 28}{4} \\ \\ \\ \longrightarrow \sf y = \dfrac{4x}{4} - \dfrac{28}{4} \\ \\ \\ \longrightarrow \boxed{\boxed{\sf y = x - 7}} [/tex]
[tex] \\ [/tex]
[tex] \hrulefill [/tex]
[tex] \\ [/tex]
▪️Learn more about the slope-intercept form here:
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First , Add 4x to both sides :
➱ [tex]\sf{4y-4x=-28}[/tex]
➱ [tex]\sf{4y=-28+4x}[/tex]
Next , Divide all terms by 4 to get y all alone
➱ [tex]\sf{y=-7+x}[/tex]
Rearrange so that our result matches the format for slope - intercept :
➱[tex]\sf{y = x +7}[/tex]
Henceforth, Equation : y = x + 7 .
Plsss helppppppp tyyyysmmmm
Answers
Answer:
Step-by-step explanation:
x = 180 - 117 = 63°
y = 360 - 63 - 86 - 98 = 113°
Sum of angles along a line about a point on the line is 180°
Sum of internal angles on a quadrilateral is 360°
Simplify the linear expression.
−5/3a+1/8−1/6a−1/2
Enter your answer as simplified fractions in the boxes.
PLEASE HELP
Answers
Find the measure of each interior angle of a polygon having 9 sides
Answers
Answer:
Sum of the interior angles = 1260°.
Step-by-step explanation:
Sum of the interior angles = (n - 2)180° where n= number of sides
Sum of the interior angles = (9-2)180
Sum of the interior angles = 1260°