The length and width of the rectangle will be √68 and √17. Then the perimeter of the rectangle will be 2 (√17 + √68).
What is a rectangle?It is a polygon with four sides. The total interior angle is 360 degrees. A rectangle's opposite sides are parallel and equal, and each angle is 90 degrees. Its diagonals are all the same length and intersect in the center.
The graph is shown below.
Then the perimeter of the rectangle will be
P = 2 (length + width)
The length of the rectangle will be
L² = 2² + 8²
L² = 4 + 64
L² = 68
L = √68
The width of the rectangle will be
W² = 1² + 4²
W² = 1 + 16
W² = 17
W = √17
Then the perimeter will be
P = 2 (√17 + √68)
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What time is it going to be in a hour
This figure represents a small keepsake box. Holly wants to cover 35 of the surface with stickers.
How much of the total surface will be covered with stickers?
Enter your answer as a decimal or mixed number in simplest form in the box.
The amount of the surface area covered with stickers is 0.6 or 60%
How to determine the covered area?The amount of area to cover is given as:
Covered area = 3/5
Express as percentage
Covered area = 3/5 * 100%
Divide 3 by 5
Covered area = 0.6 * 100%
Evaluate the product
Covered area = 60%
Hence, the amount of the surface area covered with stickers is 0.6 or 60%
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Answer:
135.93
Step-by-step explanation:
I took the test
please answer this question
A regular-size box of dog treats measures 314 inches by 712 inches by 12 inches. The manufacturer also sells a small-size box that has a volume that is 310 of the volume of the regular-size box.
What is the volume of the small-size box of dog treats?
Enter your answer as a mixed number in simplest form by filling in the boxes.
(its going to be a mixed number) in³
The volume of the small-size box of dog treats will be equal to V=8654.24 In³
What is volume?Volume is defined as the space occupied by any body in the three-Dimensions. All three parameters are required for the volume like length,width and height of the cube or Cuboid
The volume of the rectangular box will be:-
V=LxWxH
V=314x712x12
So the volume of small size box will be:-
V=2682816÷310=8654.24
Hence the volume of the small-size box of dog treats will be equal to
V=8654.24 In³
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At a basketball game, a team made 57 successful shots. They were a combination of 1- and 2-point
shots. The team scored 98 points in all. Write and solve a system of equations to find the number of
each type of shot.
There were
2-point shots and 1-point shots.
Answer:
2-point shots = 41, 1-point shots = 16Step-by-step explanation:
Let the number of 1-point shots is x and 2-points shots is y.
The system as per question is
x + y = 571*x + 2*y = 98Solve it by elimination, subtract the first equation from the second
x + 2y - x - y = 98 - 57y = 41Find the value of x
x + 41 = 57x = 16Give me the right answer this time pls ♥️.
Answer:
10 and please:
please see photo for detailed analysis
URGENT!!
Statement:
All integers are irrational numbers.
True or False?
No whole numbers are irrational numbers.
True or False?
Some rational numbers are not integers.
True or False?
Some integers are not whole numbers.
True or False?
Answers:
FalseTrueTrueTrue====================================================
Explanations:
Any integer is rational. For instance, the integer 7 can be written as 7/1 which is a ratio or fraction of integers. Or we could say 14/2 or 21/3 if you wanted to get a bit creative. Since any integer is rational, this means it cannot be irrational. A real number is either rational or irrational. It cannot be both. The name "irrational" literally means "not rational". This is why statement 1 is false.The claim "no whole numbers are irrational numbers" is a true statement because any whole number is rational (for very similar reasoning as explained in statement 1 above), which means it's not possible for a whole number to be irrational.A rational number like 2/3 is not an integer. A quick way to check is to note that 2/3 = 0.67 approximately. Whole numbers and integers do not have any decimal portion to them. We have confirmed statement 3 is true.The set of integers is {..., -3, -2, -1, 0, 1, 2, 3, ...} while the whole numbers is the set {0, 1, 2, 3, ...}. The key difference is that integers involve negative values. Whole numbers do not have negative values. Something like -7 is an integer, but it is not part of the set of whole numbers. Statement 4 is true because of this.Question: Add the decimals
591.79+528.192 =
312.7+2.566 =
235.977+61.889
Answer:
1. 1119.982
2. 315.266
3. 297.866
Answer:
1. 1119.982
2. 315.266
3. 297.866
What is the area of the figure?
Answer:
Area = 28 cm^2
Step-by-step explanation:
Triangle Area = 1/2 * 5 * 4 = 10 cm^2
Big Rectangle = 4 * 3 = 12 cm^2
Small Rectangle = 4 * 1.5 = 6 cm^2
Total Area = 10 + 12 + 6 = 28 cm^2
Answer:
Step-by-step explanation:
Discussion
Area of the Triangle
3 4 5 is the first triangle most people encounter when they begin their study of the Pythagorean Theorem. You can show this to be true by trying it.
c = 5
b = 3
a = 4
c^2 = a^2 + b^2 Equation Substitute values
c^2 = 3^2 + 4^2 Expand
c^2 = 9 + 16 Combine
c^2 = 25 Take the square root of both sides.
√c^2 = √25
c = 5 Which is exactly what you are given.
A right triangle has the property of Area = 1/2 * a * b using the values given above.
Find the area of the triangle
Area = 1/2 a * b
Area = 1/2 3 * 4
Area = 6
Find the area of the rectangle
L = 3 + 1.5 =4.5 Just add the two parts of the vertical line together.
w = 8 - 4 = 4
Area of the rectangle = L * w Substitute values
Area of the rectangle = 4.5 * 4
Area of the rectangle = 18 Add
Total area 24
Answer
24 cm^2
please help will mark Brainliest!!
[tex]~~~~~~x+80^{\circ} = 180^{\circ}\\\\\implies x = 180^{\circ} - 80^{\circ}\\\\\implies x = 100^{\circ}[/tex]
The diameter of the circle above is 26 in. What is the circumference of the circle? Use = 3.14.
Circumference = 275
A.40.82 in
В.530.66 in
C.81.64 in
D. 1,061.32 in
Answer:
C
Step-by-step explanation:
the circumference (C) of a circle is calculated as
C = 2πr = πd ( d is the diameter and d = 2r ) , then
C = πd = 3.14 × 26 = 81.64 in
You row upstream at a speed of 2 mi/h. You travel the same distance
downstream at a speed of 5 mi/h. What would be your rowing speed in still water?
What is the speed of the current?
Answer:
3.5 m/hr
Step-by-step explanation:
2 + c = 5 -c c = speed of current
2 c = 3 c = current speed = 1.5 m/hr
your speed = 5 - 1.5 (or 2 + 1.5) = 3.5 m/hr
WILL GIVE BRAINLIEST 50 POINTS
These same things are present
∆PQR=∆TUVSo
PQ=TU=12<R=<V=75<Q=180-(45+75)=60°=<UUV=QR=10TV=PR=7m<T=m<P=45Answer:
[tex]\sf \overline{PQ}=12[/tex]
[tex]\sf \overline{UV}=10[/tex]
[tex]\sf \overline{TV}=7[/tex]
[tex]\sf m \angle T=45^{\circ}[/tex]
[tex]\sf m \angle R=75^{\circ}[/tex]
[tex]\sf m \angle Q=60^{\circ}[/tex]
[tex]\sf m \angle U=60^{\circ}[/tex]
Step-by-step explanation:
≅ sign means that the triangles are congruent, which means they both have the same shape and the same size.
When comparing congruent shapes, inspect the order in which the vertices are given in the statement.
Therefore, if ΔPQR ≅ ΔTUV then:
[tex]\sf \overline{PQ} \cong \overline{TU}[/tex][tex]\sf \overline{QR} \cong \overline{UV}[/tex][tex]\sf \overline{PR} \cong \overline{TV}[/tex]Similarly:
[tex]\sf m \angle P \cong m \angle T[/tex][tex]\sf m \angle Q \cong m \angle U[/tex][tex]\sf m \angle R \cong m \angle V[/tex]Therefore, from inspection of the triangles:
[tex]\sf \overline{PQ} \cong \overline{TU}=12[/tex]
[tex]\sf \overline{UV} \cong \overline{QR}=10[/tex]
[tex]\sf \overline{TV} \cong \overline{PR}=7[/tex]
[tex]\sf m \angle T \cong m \angle P=45^{\circ}[/tex]
[tex]\sf m \angle R \cong m \angle V = 75^{\circ}[/tex]
The sum of the interior angles of a triangle is 180°, therefore:
[tex]\sf m \angle Q \cong m \angle U=180^{\circ}-45^{\circ}-75^{\circ}=60^{\circ}[/tex]
6 times a number is 16 less than the square of that number. Find the positive solution.
Answer:
x=8
Step-by-step explanation:
Let's say this mystery number is x.
6 times this x is 16 less than the square of x so we can write this as:
[tex]6x = x^2 - 16[/tex]
We can then re-arrange this into a quadratic and simplify it so:
[tex]x^2 -6x-16 =0[/tex]
[tex](x-8)(x+2)[/tex]
x=8, x=-2
And since the question is asking for the positive solution,
x=8
Find the value of y that satisfies the given conditions. Then graph the line on a separate sheet of paper. The line containing (−4, 9) and (4, 3) is parallel to the line containing (−8, 1) and (4, y).
Answer:
so first do nothing and just fail health class
The value of y that satisfies given conditions is y = - 8.
What are lines and their slopes?We know lines have various types of equations, the general type is
Ax + By + c = 0, and equation of a line in slope-intercept form is
y = mx + b.
Where slope = m and b = y-intercept.
We also know that slope(m) = (y₂ -y₁)/(x₂ - x₁).
So, lines parallel to each other have the same slope hence to find the value of y we'll equate their slopes.
∴ (3 - 9)/(4 + 4) = (y - 1)/(4 + 8).
-6/8 = (y - 1)/12.
-3/4 = (y - 1)/12.
-36/4 = y - 1.
- 9 = y - 1.
y = - 8.
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I need help figuring it out
Answer:
a pendulum consists of a mass hanging at the end of a string which is 18 cm long. find the vertical height through which the mass rises and falls as the pendulum swings through 30°on each side of the vertical.
Answer:
1. P = IRT
T = P/IR
2. A = 2(L + W)
L + W = A/2
W = A/2 - L
3. y = 5x - 6
x = (y +6)/5
4. 2x - 3y = 8
y = (2x - 8)/3
5. (x+y)/3 = 5
x = 5×3 - y
x = 15 - y
6. y = mx + b
b = y - mx
7. ax + by = c
by = c - ax
y = (c - ax)/b
Hope it helps!
Denise made 9 identical bags using 4 yards of fabric. How much fabric did denise use for each bag
Answer:
36
Step-by-step explanation:
you do 4×9 = 36
she used 36 for each bag
Can someone please help me with this
Answer:
First step, find the missing angle (you will need this later on)
We know that the sum of all angles in a triangle equals to 180°, so
180° - 65° - 40° = 75° *that's your angle (next to the point L)
Now, identify each side (as shown in my drawing attached to this message)
The law of sines tells us that
(for example) the side opposite to L (highlighted in pink in the drawing) divided by the sine of the angle at the point L (in our case, 75°) creates a ratio that remains the same for the other sides.
So,
pink side (opposite to L)/ sin 75 (angle at L) = yellow side (opposite to J)/ sin 65 (angle at J) = blue side (opposite to K)/ sin 40 (angle at K)
*Careful, since we were not given the length of one side, you cannot find actual values for each side. Although, you can use the law of sines to logically find out which length is the longest and which one is the shortest.
*Notice that the sine of the angle relates to the length of the coloured sides
Calculate the following: sin 75, sin 40, sin 65.
Once you do that, you will realize that sin 40 = to the smallest value and that sin 75 gives you the largest value.
Thus, sin 40 < sin 65< sin 75
Which corresponds to (from smallest to largest):
blue side, yellow side, pink side
*Now, write your answer in a mathematical format (using J,L,K points)
blue = JL (explanation: it connects the two points, LJ is also a valid answer)
yellow = LK
pink= JK
ANSWER: JL, LK, JK
Step-by-step explanation:
Use the Law of Sines *because you don't have a right angle triangle.
The term "Volume" in finance means...
A)highest price paid for a share in a given day
B)total shares traded during a certain time frame
C)change between current day's and previous day's close
D)loudness or softness in the market
The “Volume” in finance means total shares traded during a certain time frame option (B) is correct.
What is shares?To make a profit, share traders buy and sell the stock of companies listed on the stock exchange.
The number of shares traded in a certain stock, index, or other investment during a given period of time is known as volume.
Thus, the “Volume” in finance means total shares traded during a certain time frame.
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If you solve this i give you 50 points
Step-by-step explanation:
2) 8,6,5,3 ,57 7,4,2/8
=92/8
mean =11.5
Arrange the terms in ascending order
2,3, 4, 5, 6, 7, 8, 57
the median of the ascending set= 5.5
3) 72 75 85 82 37 108/ 6
459/6
mean =76.5
Arrange the terms in ascending order
37, 72, 75, 82, 85, 108
the median of the ascending set= 78.5
4) 10 students were asked because there were 10 data values in the list.
5) it should be 55/10 =5.5
so its false
6) Sum first and find the mean number
5+4+3+2+1/5
=3
Form an equation whose roots are 2 and -4/3
Answer: x^2 i think
Step-by-step explanation: "be the roots m = 2, n = 3 Sum of the roots = m + n = 2 + 3 m + n = 5 Product of the roots = mn = (2)(3) mn = 6 Standard form is x^2 - (m + n)"
Find the product of
[tex]8(4\sqrt 7-\sqrt18)[/tex]
Answer:
[tex]32\sqrt{7}-24\sqrt{2}[/tex]
Step-by-step explanation:
[tex]8(4\sqrt{7}-\sqrt{18})\\\\8(4\sqrt{7}-3\sqrt{2})\\\\32\sqrt{7}-24\sqrt{2}[/tex]
Carmella and Carmen simultaneously left the city and drove 120 km to a nearby town. Carmella drove at a speed that was 20 km/hr faster than Carmen. If Carmella arrived in the nearby town 1 hour before Carmen, find the speed that each of them drove.
[tex]\large{\underline{\underline{\pmb{\sf{\color{yellow}{Answer:}}}}}}[/tex]
Speed of Carmen = 40km/h
and speed of Carmella = 60km/h
Step-by-step explanation:
Let the speed of Carmen = x km/h
Carmella speed will be (x + 20)km/h
Distance = 120 km
Time between Carmen and Carmella = 1 hour
[tex] \sf Time= \frac{distance}{speed} [/tex]
Let the time taken by Carmen be T1
and Carmella be T2
[tex] \sf So \: T_1 = \frac{120}{x} \: and \: T_2 = \frac{120}{x + 20} [/tex]
As there is 1 hour difference so
[tex] \sf T_2 - T_1 = \: 1 hour \\ \\ \\ \sf \implies \frac{120}{x } - \frac{120}{x + 20} = 1 \\ \\ \\ \sf \implies \frac{120(x + 20) - 120x}{x(x + 20)} = 1 \\ \\ \\ \sf \implies 120x + 2400 - 120x = {x}^{2} + 20x \\ \\ \\ \sf \implies 2400 = {x}^{2} + 20x \\ \\ \\ \sf \implies 0 = {x}^{2} + 20x - 2400 \\ \\ \\ \sf \implies 0 = {x}^{2} + 60x - 40x - 2400 \\ \\ \\ \sf \implies0 = x(x + 60) - 40(x + 60) \\ \\ \\ \sf \implies 0 = (x + 60)(x - 40) \\ \\ \\ \sf \implies \red{\boxed{x = 40km}}[/tex]
We have not considered 60 as it will become negative value and negative value is not possible in distance
Speed of Carmen = 40km/h
Speed of Carmella = 40 + 20 = 60km/h
Ellen wrote 18 checks in May. The first five checks had no fee.
The bank charged $0.25 for the remaining checks written that
month. The monthly service charge on the account is $5.
What is the total amount of fees Ellen paid in May on her
checking account?
Help me plsssssssssssssssss
Answer:
h=12
Step-by-step explanation:
by cross multiplying we get 1h=12 or h=12 so h=12
By cross multiplication find x and y if
ax + by = a² + b² and bx - ay = 0
[tex] \bold{\underline{\underline{\underbrace{Answer}}}} [/tex]
x = a and y = b
Step-by-step explanation:
To findThe value of x and y
⠀
Givenax + by = a² + b² (equation 1)
bx - ay = 0 (equation 2)
⠀
Solution{Taking equation 2}
[tex] \sf bx - ay = 0 [/tex]
{Taking ay on RHS}
[tex] \sf bx = ay[/tex]
{Dividing both sides by a}
[tex] \sf \frac{bx}{a} = y(equation \: 3)[/tex]
{Now substituting the equation 3 in equation 1}
[tex] \sf ax + b( \frac{bx}{a} ) = {a}^{2} + {b}^{2} \\ \\ \sf ax + \frac{ {b}^{2} x}{a} = {a}^{2} + {b}^{2} [/tex]
{Taking LCM on LHS}
[tex] \sf \frac{ {a}^{2}x + {b}^{2} x }{a} = {a}^{2} + {b}^{2} \\ \\ \sf \frac{x( {a}^{2} + {b}^{2}) }{a} = ( {a}^{2} + {b}^{2} )[/tex]
{Dividing by (a² + b²) both sides}
[tex] \sf \frac{x}{a} = 1 \\ \\ \green{\boxed {\tt{x = a} } }[/tex]
{Now substituting the value of x in equation 3}
[tex] \sf \frac{ba}{a} = y \\ \\ \green {\boxed{ \tt{y = b}} }[/tex]
plsss help meeeeeeeeee
Easy 30 points ……………
Answer:
D.
Step-by-step explanation:
it should be the sales tax because you pay a little bit more.
The linear inequality y <-2/3+ 2 is graphed. Which is a solution for the inequality
Answer:
C. (0;0).
Step-by-step explanation:
(0;0) only.
if to substitute the given coordinates into the given inequality and calculate the result, then the left side equals to the right side. Except (0;0).
What is the v-intercent of the line given by the equation below?
Helpp