Answer: 20cm
Step-by-step explanation:
The perimeter of a rectangle can be calculated as 2(l+w)
2(6+4)
2(10)
20
Hope it helps, and if you want more info on perimeter, just ask <3
Answer:
20 cm
Step-by-step explanation:
Use folmula P=2(l+w)
Sarah has been training for a marathon, which will cover a distance of 42.195 km. In training
she has consistently run 1km each 6 minutes. How long will it take Sarah to complete the
Marathon if she runs at this pace consistently throughout the race?
Answer:
4 hours 21 minutes 17 seconds.
Step-by-step explanation:
1km = 6 minutes
42.195km = ?
42.195 × 6 = 253 minutes 17 seconds = 4 hours 21 minutes 17 seconds.
Answer:
4 hours 21 minutes 17 seconds.
Step-by-step explanation:
01:14:29 The Schwartz family spent a total of $111.75 for Internet service for 3 months. Each month they received $5.50 as a credit on the bill. Which equation and solution shows the cost of their monthly Internet service before the credit? 3 (x + 5.50) = 111.75; the monthly Internet service is $31.75 3 (x minus 5.50) = 111.75; the monthly Internet service is $42.75 One-third (x minus 5.50) = 111.75; the monthly Internet service is $42.75 One-third (x + 5.50) = 111.75; the monthly Internet service is $31.75
Answer: 3(x minus 5.50) = 111.75; the monthly Internet service is $42.75
Step-by-step explanation:
Given the following :
Total amount spent on internet for 3 months = $111.75
Monthly credit received on bill = $5.50
Monthly Credit of $5.50 means $5.50 is deducted from the amount being paid on thir bill monthly.
Assume their monthly internet service fee = x
The amount paid before the credit deduction each month:
Amount paid - credit
(x - $5.50)
For 3 months :
3 × (x - $5.50) = $117.75
3(x - $5.50) = $117.75
Monthly fee paid before credit deduction:
3(x - $5.50) = $117.75
3x - $16.50 = $117.75
3x = $117.75 + $16.50
3x = $128.25
x = $128.25 / 3
x = $42.75
Answer:
It's b !! :o]
Step-by-step explanation:
Someone help quick!!!
The diagram shows several points and lines. Which statements are true based on the diagram? Select two options.
A. Points K, M, and N are collinear
B. Points J, K, and Q are collinear
C. Points are is the intersection of the line KN and the line MQ
D. Find JQ, KM, and MQ all
intersect at point K
E. There is only one line that can be drawn through points L and P
Answer:
B, E
Step-by-step explanation:
J, K, Q are all on the same line: collinear
You can draw only one line through L and P
Answer:
b,e
Step-by-step explanation:
e2020
Factor this polynomial expression, and wrote it in its fully factored form 3x^3 + 3x^2 - 18x
Answer:
3x (x - 2) (x + 3)
Answer 4
Hope this helps :)
Robert buys $3 shirts at $16.90 each, and a pair of jeans for $20.50. The shop has a sale on, and so he receives a $7.12 discount.
Write and solve a numerical expression for how much he spends in total.
Answer:
64.08
Step-by-step explanation:
3^16.90+1*20.50-7.12
use the cross product property to solve the proportion
5/r = 9/10
Answer:
[tex]5.\overline{55}[/tex] or [tex]5\frac{5}{9}[/tex]
Step-by-step explanation:
[tex]\frac{5}{r} =\frac{9}{10}[/tex]
We multiply the cross values of 5 and 10
5 × 10 = 50
Now we divide by the remaining number, 9
[tex]50 \div 9 = 5.555555...[/tex]
So, r = [tex]5.\overline{55}[/tex]
As a fraction, this is [tex]5\frac{5}{9}[/tex]
Hope this helped!
Answer:
5 5/9 = r
Step-by-step explanation:
5/r = 9/10
Using cross products
5 * 10 = 9 * r
50 = 9r
Divide by 9
50/9 = r
5 5/9 = r
My initial deposit is $100. Every year my account total increases by 5% What is the total percent increase after 5 years?
Each year, your account is multiplied by 1.05 (5% increase). Thus, after 5 years, your account would have been multiplied by that value 5 times.
[tex](1.05)^5=1.27628...[/tex]
Thus, the total percent increase would have been 27.6% (rounded to the nearest tenths).
What will be the sign of the product if we multiply together 199 negative and 10 positive integers?
What is the equation of the circle shown below?
Answer:
( x+2)^2 + ( y+2) ^2 = 9
Step-by-step explanation:
The center is at (-2,-2)
The radius is 3 which is the number of units from the center to the circles edge
The equation of a circle can be written as
( x-h) ^2 + (y-k) ^2 = r^2 where ( h,k) is the center and r is the radius
( x--2) ^2 + (y--2) ^2 = 3^2
( x+2)^2 + ( y+2) ^2 = 9
Write the equation of the line that is perpendicular to the line 5y=x−5 through the point (-1,0).
Hey there!
First, we want to put the equation of this first line in slope-intercept form.
5y=x-5
We divide both sides by 5.
y=1/5x-1.
The slope of a perpendicular is line is the negative reciprocal of the slope of the original line. The slope of a line perpendicular to a line with the equation y=1/2x would be -2, because you flip the numerator and denominator and then make it negative.
So, this means that the slope of the line perpendicular to the line y=1/5x-1 is -5. So, here's our equation so far.
y= -5x+b
Now, we need to find the b. To do this, we can plug in this point (-1,0) that this perpendicular line goes through and solve for b.
0=-5(-1)+b
0=5+b
b= -5
So, this gives us the equation y= -5x-5
Have a wonderful day!
ABC is a triangle in which DE ∥BC. Find ∠A
Answer:
∠A = 35°
Step-by-step explanation:
From the question above,
Sum of Angles on a straight line = 180°
180° = ∠BDE + ∠ADE
∠BDE = 105°
∠ADE = 180° - 105°
∠ADE = 75°
To find Angle ∠EBC and ∠DEB are alternate angles, this means that they are equal to each other
Hence, ∠EBC = ∠DEB
30° = 30°
Sum of Angles on a straight line = 180°
180° = ∠DEB + ∠BEC + ∠DEA
180° = 30° + 80° + ∠DEA
∠DEA = 180° -(30+ 80)°
∠DEA = 180° - 110°
∠DEA = 70°
It is important to note that the sum of Angles in a triangle = 180°
180° = ∠ADE + ∠DEA + ∠A
∠ADE = 75°
∠DEA = 70°
180° = 75° + 70° + ∠A
∠A = 180° - (75° + 70°)
∠A = 180° - 145°
∠A = 35°
A circle has a radius of sqrt 45 units and is centered at -2.4, -4.8 write the equation of the circle
Answer:
(x+2.4)^2+(y+4.8)^2=2025
If you'd like additional help with math or another subject, check out growthinyouth.org!
Step-by-step explanation:
ASAP The tee for the fourth hole on a golf course is 300 yards from the tee. On that hole, Marsha hooked her ball to the left, as sketched below. Find the distance between Marsha’s ball and the hole to the nearest tenth of a yard.
Answer:
C. 97.5 yd
Step-by-step explanation:
The distance between Marsha, the ball and the tee for the fourth hole, forms a triangle.
Thus, the distance between Marsha's ball and the hole can be calculated using the Cosine formula below:
c² = a² + b² - 2abcos(C)
Where,
c = distance between Marsha's ball and the hole = ?
a = distance between the tee for the fourth hole and the tee = 300 yd
b = distance between tee and the hole = 255 yd
C = 18°
c² = 300² + 255² - 2(300)(255)cos(18)
c² = 90000 + 65025 - 153000 × 0.951
c² = 155025 - 145503
c² = 9522
c = √9522 ≈ 97.5
c = distance between Marsha’s ball and the hole = 97.5 yd (nearest tenth)
A candy store sells mints, taffy, and caramel. If 5/8 of the candy in stock is
mints and 3/16 of the candy in stock is taffy, what part of the candy in stock is
caramel?
Answer:6/16 or 3/8
Step-by-step explanation:
I did it
Answer: 3/16
Step-by-step explanation:
I need you to answer ASAP
Line R: 2x + 2y = 18
Line M: x + y = 9
Which statement is true about the solution to the set of equatic
It is (189)
It is (9, 18)
There are infinitely many solutions
There is no solution
Answer:
infinitely many solutions
Step-by-step explanation:
2x + 2y = 18
x + y = 9
multiply Line M equation by -2 to eliminate at least one variable:
2x + 2y = 18
-2x - 2y = -18
use elimination:
2x + 2y = 18
-2x - 2y = -18
__________
0 + 0 = 0
since this statement is true, there are infinitely many solutions.
Maximize the objective function P = 2x + 1.5y for the feasible region shown. State the maximum value for P and the ordered pair at which the maximum value occurs.
Incomplete question. However, let's assume this are feasible regions to consider:
Points:
- (0, 100)
- (0, 125)
- (0, 325)
- (1, 200)
Answer:
Maximum value occurs at 325 at the point (0, 325)
Step-by-step explanation:
Remember, we substitute the points value for x, y in the objective function P = 2x + 1.5y.
- For point (0, 100): P= 2(0) + 1.5 (100) =150
- For point (0, 125): P= 2(0) + 1.5 (125) =187.5
For point (0, 325): P= 2(0) + 1.5 (325) = 487.5
For point (1, 200): P= 2(1) + 1.5 (200) = 302
Therefore, we could notice from the above solutions that at point (0,325) we attain the maximum value of P.
PLEASE HELP! I WILL GIVE BRAINIEST! Look at the figure below: A triangle ABC is drawn. D is a point on BC such that BD is equal to DC. A straight line joins points A and D. This line extend Based on the figure, which pair of triangles is congruent by the Side Angle Side Postulate? a Triangle ABD and triangle ECD b Triangle ABC and triangle ECD c Triangle ABD and triangle ADC d Triangle ADC and triangle ABC
Answer:
ADB and ADC
Step-by-step explanation:
SAS is side angle side. so, which 2 triangles have same side, then angle, then side. We have to have it in that specific order.
Answer:
ABD and ECD
Step-by-step explanation:
EDC and ADB are vertical angles, so that is the angle we need for the SAS postulate. The markings on each of the corresponding sides is the same, which means we have 2 congruent sides, as well as an angle.
Please answer this in two minutes
Answer:
4.5cm
Step-by-step explanation:
Using Sine Rule:
a/sinA = b/sinB = c/sinC
step:
7/sin90 = TU/sin40
TU = 7/sin90 X sin40
TU = 4.4995
TU = 4.5cm
MAKE ME AS THE BRAINLIEST
find the solutions of x and y.
Answer:
x = 15, y = 4
Step-by-step explanation:
By Basic proportionality theorem, we have:
x/ 5 = 18/6
x = (18*5)/6
x = 90/6
x = 15
Again By Basic proportionality theorem, we have:
12/y = 18/6
y = (12*6)/18
y = 72/18
y = 4
ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.
Answer:
The third option is correct.
The domain of the function is given by
[tex]Domain = 0 \leq t \leq 40[/tex]
The range of the function is given by
[tex]Range = 0 \leq V(t) \leq 200[/tex]
Step-by-step explanation:
Sara bought a cell phone for $200 and its value has decreased at rate of $5 per month.
V(t) is the value of the phone and t is the number of months.
The domain of the function is the possible values of the number of months t.
The domain of the function is given by
[tex]Domain = 0 \leq t \leq 40[/tex]
The range of the function is the values of V(t) that we get after substituting the possible values of the number of months t.
The range of the function is given by
[tex]Range = 0 \leq V(t) \leq 200[/tex]
When the number of months is t = 0 then the value of the function is maximum V(t) = 200
When the number of months is t = 40 then the value of the function is minimum V(t) = 0
Therefore, the third option is correct.
Which expression is equal to 5(2x^2-1)+3(7x^2+1)
Answer:
31x² - 2
Step-by-step explanation:
5(2x²-1)+3(7x²+1) = 5*2x² - 5*1 + 3*7x² + 3 = 10x² - 5 + 21x² + 3 = 31x² - 2
Kickboxing it's found the force needed to break a board varies inversely with the length of the board it takes 9 pounds of pressure to break a board that is 3 feet long how long is the board that requires 5 pounds of pressure to break
Answer:
If f=5 pounds of pressure, l=5.4 feet long
Step-by-step explanation:
Force needed to break a board varies inversely with the length of the board
Let
Force to break the board=f
Length of the board=l
f=k/l
Where k is a constant
If f=9 pounds of pressure and l=3 feet long
f=k/l
9=k/3
Cross product
9*3=k
27=k
If k=27, f=5 pounds of pressure. Find l?
f=k/l
5=27/l
Cross product
5l=27
l=27/5
=5.4
l=5.4 feet long
Using proportions, it is found that the board that requires 5 pounds of pressure to break is 1.67 inches long.
Proportions:This question is solved by proportions, using a rule of three.It takes 9 pounds to break a board that is 3 feet long, what is the length of a board that takes 5 pounds?The rule of three is:
9 pounds - 3 feet
5 pounds - x feet
Applying cross multiplication:
[tex]9x = 3(5)[/tex]
[tex]x = \frac{15}{9}[/tex]
[tex]x = 1.67[/tex]
The board that requires 5 pounds of pressure to break is 1.67 inches long.
To learn more about proportions, you can take a look at https://brainly.com/question/24372153
The square pyramid shown below has a slant height of 171717 units and a vertical height of 151515 units. What is the length of one of the pyrmaids base?
The required length of the base is 18 units for the square pyramid.
The square pyramid shown below has a slant height of 17 units and a vertical height of 15 units. What is the length of one of the bases of the pyramid to be determined?
In a right-angled triangle, its side, such as hypotenuse, perpendicular, and the base is Pythagorean triplets.
The verticle height = 15
Slant height = 17
Let the base length be a,
For the half slant profile applying the Pythagorean theorem,
slant heigth² = vertical height² + base length ²
17² = 15² + ( a/2 )²
289 - 225 = ( a/2 )²
( a/2 )² = 64
a/2 =8
a = 16
Thus, the required length of the base is 18 units for the square pyramid.
Learn more about Pythagorean triplets here:
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Write the function in standard form.
Y=(3x-2)(3x+6)
Answer:
y = 9x^2 + 12x - 12.
Step-by-step explanation:
y = (3x - 2)(3x + 6)
y = 9x^2 - 6x + 18x - 12
y = 9x^2 + 12x - 12.
Hope this helps!
Please factorise the equations in the doc bellow ASAP. please show full working
Answer:
b. x² + 8x + 12 =
1. use the factoring X (see attachment)
2. 6 x 2 = 12; 6 + 2 = 12
3. (x + 6)(x + 2) = 0
4. x = -6, -2
c. x² + 13x + 12 =
1. 12 x 1 = 12; 12 + 1 = 13
2. (x + 12)(x + 1) = 0
3. x = -12, -1
c. x² + x - 12 =
1. 4 · (-3) = -12; 4 - 3 = 1
2. (x +4)(x - 3) = 0
3. x = -4, 3
f. x² + 15x + 36 =
1. 12 x 3 = 36; 12 + 3 = 15
2. (x + 12)(x + 3) = 0
3. x = -12, -3
hope this helps :)
Answer:
b) - (x + 2)(x + 6)
c) - (x + 12)(x + 1)
c) - (x - 3)(x + 4)
f) - (x + 12)(x + 3)
Step-by-step explanation:
Well to factor the given info we need to find the factors.
b)
[tex]x^2 + 8x + 12[/tex]
So 6*2 = 12
6x + 2x = 8x
x*x = x^2
Factored - (x + 2)(x + 6)
c)
[tex]x^2 + 13x + 12[/tex]
Well x*x = x^2
and 12*1 = 12
12x + x = 13x
Factored - (x + 12)(x + 1)
The second c)
[tex]x^2 + x - 12[/tex]
Well x*x = x^2
-3*4 = -12
-3x + 4x = x
Factored - (x - 3)(x + 4)
f)
[tex]x^2 + 15x + 36[/tex]
So x*x = x^2
12*3 = 36
12x + 3x = 15x
Factored - (x + 12)(x + 3)
Thus,
everything factored is (x + 2)(x + 6) , (x + 12)(x + 1) , (x - 3)(x + 4) ,
(x + 12)(x + 3).
Hope this helps :)
what is an equation of the line passes through the points (8,-8) and (-5,-8)
Answer:
The answer is
y = - 8Step-by-step explanation:
Equation of a line is y = mx + c
where
m is the slope
c is the y intercept
To find the equation of the line we must first find the slope
That's
Slope of the line using points
(8,-8) and (-5,-8) is
[tex]m = \frac{ - 8 + 8}{ - 5 - 8} = \frac{0}{ - 13} = 0[/tex]
So the equation of the line using point (8,-8) is
y + 8 = 0(x - 8)
y + 8 = 0
We have the final answer as
y = - 8Hope this helps you
This is hard for me, can someone please help? Loren solved the equation 10 = StartFraction 19 Over 9 EndFraction (149) + b for b as part of her work to find the equation of a trend line that passes through the points (1, 130) and (10, 149). What error did Loren make? She should have solved 10 = StartFraction 9 Over 19 EndFraction (149) + b for b. She should have solved 1 = StartFraction 19 Over 9 EndFraction (130) + b for b. She should have solved 149 = StartFraction 19 Over 9 EndFraction (10) + b for b. She should have solved 130 = StartFraction 9 Over 19 EndFraction (1) + b for b.
Answer:
149=19/9 (10) +b
130=19/9(1)+b
Step-by-step explanation:
for Loren to find a line passes through two points:(1,130), (10.149)
1) find slope: m=y2-y1/x2-x1 =149-130/10-1=19/9
m=19/9
to find b in the equation y=mx+b for point (1,130)
y=130, x=1, m=19/9
130=19/9(1)+b
for point (10,149)
149=19/9 (10) +b
you have two options
The solution is, the equations of line passes through two points:(1,130), (10.149) is:
149=19/9 (10) +b
130=19/9(1)+b
What is a straight line?A straight line is an endless one-dimensional figure that has no width. It is a combination of endless points joined both sides of a point and has no curve.
here, we have,
for Loren to find a line passes through two points:(1,130), (10.149)
1) find slope: m=y2-y1/x2-x1 =149-130/10-1=19/9
m=19/9
to find b in the equation y=mx+b for point (1,130)
y=130, x=1, m=19/9
130=19/9(1)+b
for point (10,149)
149=19/9 (10) +b
you have two options
Hence, The solution is, the equations of line passes through two points:(1,130), (10.149) is:
149=19/9 (10) +b
130=19/9(1)+b
To learn more on Equation 0f Straight-Line click:
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Which explains whether AFGH is congruent to AFJH?
Answer:
Hey there!
FGH is congruent to FHJ because of the ASA postulate, stating that in congruent triangles, two angles and one side must be congruent.
Hope this helps :)
Factor 2x2+5x+2 please
Answer:
Step 1: 4
Step 2: 4 and 1
Step 3: 2x² + 4x + x + 2
Step 4: (2x² + 4x) + (x + 2)
Step 5: 2x(x + 2) + 1(x + 2)
Step 6: (x + 2)(2x + 1)
Step-by-step explanation:
how do i wright this as a expression? seven and the quotient of z and eight
8÷7=z and z is the answer you got when you divided,that's how I understand the question