Answers
[tex]\text{Area of parallelogram QRST} = QR \times TU = 20 ~in \times 18~in =360 in^2[/tex]
Related Questions
A mother invests $7000 in a bank account at the time of her daughter's birth. The interest is 18) compounded quarterly at a rate of 8%. What will be the value of the daughter's account on her twentieth birthday, assuming no other deposits or withdrawals are made during this period?
Answers
well, from birth to your twentieth birthday that'll just be 20 years, so
[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$7000\\ r=rate\to 8\%\to \frac{8}{100}\dotfill &0.08\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{quarterly, thus four} \end{array}\dotfill &4\\ t=years\dotfill &20 \end{cases} \\\\\\ A=7000\left(1+\frac{0.08}{4}\right)^{4\cdot 20}\implies A=7000(1.02)^{80}\implies A\approx 34128.07[/tex]
how do I write this out? Expand to write an equivalent expression…
1/2(-4x + 2y)
Answers
Answer:
-2x + y
Step-by-step explanation:
This is distributive property, so multiply the terms inside the parentheses by 1/2.
1/2 (-4x) = -2x
1/2(2y) = y
-2x + y
Harry is scuba diving off the coast of Australia. When he is ready to come back to the surface, he rises 12 meters at a safe speed. He climbs 15 centimeters every second. How many seconds will it take him to reach the surface?
Answers
720: 15= 48 seconds
Examine the equation and solution method shown below. Indentify the error and then solve the equation using a valid solution method.
1. Find and explain the error in the solution method.
2. Solve the equation 3(3x+6+x)=1 using a valid solution method.
3. Explain each step in your solution method. Why is your method valid?
Pls Help. 100 points
Answers
3 ( 3x + 6 + x ) = 1
Step 1, apply distributive method.
9x + 18 + 3x = 1
Step 2, simplify the following
12x + 18 = 1
Step 3, Change side
12x = -17
Final answer
x = -17/12
The error/mistake was in step 2 where [ 9x +3x = 12x ]
Recheck the answer
3 ( 3x + 6 + x ) = 1
3 ( 3(-17/12) + 6 + -17/12 ) = 1
1 = 1
Hence proved our solution is correct.
Answer:
Question 1
The error is in step 2. They have subtracted [tex]3x[/tex] from the left side of the equation, yet only subtracted 3 from the right side.
Questions 2 & 3
Solve:
[tex]3(3x + 6 + x) = 1[/tex]
Apply the distributive law [tex]a(b + c) = ab + ac[/tex] :
[tex]\implies 9x + 18 + 3x = 1[/tex]
Collect and combine like terms:
[tex]\implies 9x + 3x+ 18 = 1[/tex]
[tex]\implies 12x + 18 = 1[/tex]
Subtract 18 from both sides:
[tex]\implies 12x + 18 - 18 = 1 - 18[/tex]
[tex]\implies 12x = -17[/tex]
Divide both sides by 12:
[tex]\implies \dfrac{12x}{12}=-\dfrac{17}{12}[/tex]
[tex]\implies x=-\dfrac{17}{12}[/tex]
A kite with diagonals is shown. It has side lengths of 13, 13, 37, and 37. The length from the left point to the middle point is 12, and the distance from the right point to the middle point is 12.
The figure is a kite. What is the length of the kite’s longer diagonal?
5 units
35 units
40 units
48 units
Answers
Step-by-step explanation:
we have to solve 2 right-angled triangles via Pythagoras
c² = a² + b²
with c being the Hypotenuse (the side opposite of the 90° angle).
one triangle is 37, 12 and the longer part of the long diagonal.
the second triangle is 13, 12 and the shorter part of the long diagonal.
the whole diagonal is then the sum of both parts.
37² = 12² + longer part²
1369 = 144 + longer part²
longer part² = 1225
longer part = 35
13² = 12² + short part²
169 = 144 + short part²
25 = short part²
short part = 5
so, the total diagonal is 35 + 5 = 40 units.
The length of the longer diagonal obtained using Pythagorean theorem is 40 units
What is the Pythagorean theorem?The Pythagorean theorem is a fundamental geometric relationship that states that the square of the hypotenuse side of a right triangle is equivalent to the sum of the squares of the other two sides (the legs). Mathematically, we get
c² = a² + b²
Where a and b are the lengths of the legs and c is the length of the hypotenuse side of the right triangle.
The diagonals of a kite are perpendicular to each other
The diagonal that is bisected in a kite is the shorter diagonal
The lengths from the left point to the middle and the distance from the right point to the middle are both 12, which indicates that the diagonal from left to right of the kite is bisected, which is the shorter diagonal. Therefore;
The length of the shorter diagonal is; 12 + 12 = 24
Therefore, the longer diagonal forms two right triangles to the left and two right triangles to the right
The hypotenuse length of the right triangles are 37 and 13, while the leg common to both right triangles on each side is half the length of the shorter diagonal, or 12
The Pythagorean theorem indicates that we get;
Length of the longer diagonal = √(13² - 12²) + √(37² - 12²) = 40
The length of the longer diagonal is 40 units
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-1 (1 + 7x) - 6(-7 -x) = 36
Answers
Answer: x = 5
Step-by-step explanation:
If you need to solve for x,
Given:
-1 (1 + 7x) - 6(-7 -x) = 36
Distribute:
-1 - 7x + 42 + 6x = 36
Combine like terms:
- x + 41 = 36
Subtract 41 from both sides of the equation:
- x = -5
Divide both sides by -1:
x = 5
1. Which unit multiplier should be used to change feet to inches?
A 1ft/12in
B 12in/1ft
C 12ft/1in
D 1in/12ft
E 12in/12in
2. Which unit multiplier should be used to change quarts to gallons?
A 8 qt/ 1 gal
B 1 gal/ 8 qt
C 1 gal/ 4 qt
D 2 qt/4 qt
3. Which unit multiplier should be used to change feet to yards?
A 1 yd/ 36 inch
B 3ft/3ft
C 1 yd/ 3 ft
D 1 yd/ 2 feet
4. When using unit multipliers, the name of the measure in the numerator should be the same as:
a.
the name in the denominator
b.
the name of the given amount
c.
the name of the unit in the desired answer
d.
the larger of the units of measure given
e.
the smaller of the units of measure given
5. The term used to multiply by when converting measures should always be:
Select one:
a.
less than the given measure
b.
greater than the given measure
c.
greater than one
d.
less than one
e.
equal to one
6. How many unit multipliers are required to change square feet to square inches?
Select one:
a.
1
b.
2
c.
3
d.
12
e.
144
7. How many unit multipliers are required to change cubic yards to cubic feet?
Select one:
a.
1
b.
2
c.
3
d.
9
e.
12
8. Sam stacked a pile of wood that was four feet deep, four feet high, and 16 feet long. How many cords of wood does he have?
Answers
The required unit multipliers that should be used to change feet to inches is: 12 in/1 ft
What is Unit Multiplier?Unit multipliers are used to convert one unit of measurement to another by the multiplication of the measure we're converting by a unit multiplier that cancels out the other units, retaining only the preferred choice or desired answer.
From the given information:
The required unit multiplier that should be used to change feet to inches is: 12in/ 1ftThe required unit multiplier that should be used to change quarts to gallons is: 1gal/ 8qtThe required unit multiplier that should be used to change quarts to gallons is: 1yd/3 ftHowever, it is important to note that when using unit multipliers, the name of the measure in the numerator should be the same as the name of the unit in the desired answer.
The term used to multiply by when converting measures should always be less than the given measure.
The required unit multiplier to convert square feet to square inches is 144The required unit multiplier to convert cubic yard to cubic feet is 27The cord of wood can be determined by multiplying the length, depth and height of the wood together, then dividing the answer but 128.
Thus, the cord of the wood = (4 ft × 4 ft × 16 ft)/128
The cord of the wood = 2 cords.
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a rectangular garden is 1.25 meters wide and 3.4 meters long. what is the area of the garden?
Answers
Area = length x width
Area = 1.25 x 3.4 = 4.25 square meters
Find measure of <1. (The figure may not be drawn to scale)
Answers
Answer:
t = 55
Step-by-step explanation:
The figure is a straight line and the sum of angles that make a straight line is 180 degrees
90 + t+ 35 = 180
125+t = 180
Subtract 125 from each side
125 +t-125 = 180-125
t = 180-125
t = 55
Find the area of the parallelogram shown below.
Answers
Answer:
144√3 square feet
Step-by-step explanation:
There is a 30°-60°-90° triangle. In this triangle, the longer leg, which is the height of this parallelogram, is √3 times the length of the shorter leg (8 feet). Multiplying base times height, we have
18 * 8√3, which is 144√3 square feet.
Which rectangular equation represents the parametric equations x = t Superscript one-half and y = 2t? y = 4x2 y = 2x2 y = StartRoot 2 x EndRoot y = 2 StartRoot x EndRoot
Answers
The rectangular equation which represents the parametric equations x =t^(1/2) and y = 2t is; y=2x².
Generating equations from Parametric equationsAccording to the task content;
It follows that the parametric equations given are; x =t^(1/2) and y = 2t.
Since x =t^(1/2), then it follows that; x² = t.
Therefore, by substituting x² for t in y= 2t, then we have; y = 2x².
Read more on Parametric equations;
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Answer:
B on edg!
Step-by-step explanation:
just did the assingment
Perimeter of following rectangle mixed number in simplest form 1 1/3 ft 5/8 ft
Answers
Answer: 3 11/12
Step-by-step explanation:
1 1/3 * 2 = 2 2/3
5/8 * 2 = 1 1/4
2 2/3 + 1 1/4 = 3 11/12
i) Find the first 4 terms in the expansion of
[tex](2 + x ^{2})^{6}[/tex]
in ascending powers of x.
ii) Find the term independent of x in the expansion of
[tex](2 + x ^{2})^{6}(1 - \frac{3}{x {}^{2} } ) {}^{2} [/tex]
Answers
Answer:
(i) [tex]64+192 x^2+240 x^4+160x^6[/tex]
(ii) 1072
Step-by-step explanation:
Part (i)
Using Binomial series formula:
[tex](2+x^2)^6=2^6+6C1 \cdot 2^{6-1}\cdot x^2+6C2 \cdot 2^{6-2}\cdot(x^2)^2+6C3 \cdot 2^{6-3}\cdot(x^2)^3[/tex]
[tex]=64+6 \cdot 32\cdot x^2+15 \cdot 16\cdot x^4+20 \cdot 8 \cdot x^6[/tex]
[tex]=64+192 x^2+240 x^4+160x^6[/tex]
Part (ii)
[tex](1-\frac{3}{x^2})^2=(1-\frac{3}{x^2})(1-\frac{3}{x^2})[/tex]
[tex]=1-\dfrac{6}{x^2}+\dfrac{9}{x^4}[/tex]
[tex](2+x^2)^6(1-\frac{3}{x^2})^2=(64+192 x^2+240 x^4+160x^6)\left(1-\dfrac{6}{x^2}+\dfrac{9}{x^4} \right)[/tex]
[tex]=64-\dfrac{384}{x^2}+\dfrac{576}{x^4}+192x^2-1152+\dfrac{1728}{x^2}+240x^4-1440x^2+2160+...[/tex]
There is no need to keep expanding since the remaining will include the variable.
Therefore, the term independent of x = 64 - 1152 + 2160 = 1072
A Florida newspaper reported on the topics that teenagers most want to discuss with their parents. The findings, the results of a poll, showed that 46% would like more discussion about the family's financial situation, 37% would like to talk about school, and 30% would like to talk about religion. These and other percentages were based on a national sampling of 532 teenagers. Estimate the proportion of all teenagers who want more family discussions about school. Use a 95% confidence level.
Answers
Answer:
En la Imagen adjunta
Step-by-step explanation:
Toca Para Abrir Imagen
Espero haberte ayudado si es así dame Corona
29. An acting improvisation class divides into 6 teams that each have at
most 4 students.
a. Write and solve an inequality to represent the number of students
in the class.
b. Each team has at least two students. Could there be 20 students in
the class? Explain why or why not.
Answers
The inequality that represent the number of students in the class is x ≤ 24. They could be 20 students
What is an inequality?
An inequality is an expression that shows the non equal comparison of two or more numbers and variables.
Let x represent the number of students in the class, hence:
x ≤ 6(4)
x ≤ 24
If each team has at least 2 students:
x ≥ 6(2)
x ≥ 12 and x ≤ 24
The inequality that represent the number of students in the class is x ≤ 24. They could be 20 students
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Find the measure of the red arc or chord in ⊙C
Answers
Answer: 75
Step-by-step explanation:
The measure of the red arc or chord is 75 degrees
What is Circle?A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.
From the given figure we observe that ∠ACB is vertical angle of ∠ECD
∠ECD = 75 degrees
∠ECD = ∠ACB as they are vertical angles
∠ACB = 75 degrees
∠ACB is the central angle.
The central angle of an arc is the central angle subtended by the arc. The measure of an arc is the measure of its central angle.
So measure of arc AB is 75 degrees
Hence, the measure of the red arc or chord is 75 degrees
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A rectangular prism has a base area of 17 cm², and a height of 5 centimeters. What is the volume of the prism?
Answers
Answer:
85cm^3
Step-by-step explanation:
Volume = Base Area * Height
17*5=85
Which of the following is a right triangle?
70°
60
30*
249
459
128
90°
45°
/60°
60°
55
559
Triangle A
Triangle e
Triangle C
Triangle D
A. Triangle C
B. Triangle D
C. Triangle A
D. Triangle B
SUBMIT
Answers
Answer:
Triangle C
Step-by-step explanation:
Triangle C contains a 90° angle.
Answer:
Triangle C
Step-by-step explanation:
The right triangle has one side that is 90° the other two sides have to add up to 90° (45 + 45= 90)
what shape is this will give brainliest and all that
Answers
Answer:
that is a Trapezoid
Step-by-step explanation:
it has two lines that are parallel and two lines that are not. crd. MathGeek99
Answer:
I believe it is a Quadrilateral
Step-by-step explanation:
It's a quadrilateral because of how many sides it has and other stuff
Read the sentence. Patriots, people who supported freedom from England, were especially angry when British soldiers overtook their homes. What type of phrase is people who supported freedom from England?
Appositive
Fragment
Participial
Prepositional
Answers
Answer: Fragment.
Step-by-step explanation:
A Fragment phrase can be defined as a sentence that resembles a sentence but lacks delivering a complete idea. This sentence serves as a dependent clause in a sentence.
The given sentence is an example of a fragment phrase or sentence. Though the phrase appears to be a sentence but it lacks complete idea because we don't know about which 'people' is it talking about.
can someone pls help me with this. WILL MARK BRAINLIEST
Answers
Answer:
I would say B. 6 inches, 8 inches, 10 inches.
Step-by-step explanation:
They are all 2 times difference.
3 · 2 = 6
4 · 2 = 8
5 · 2 = 10
How could you demonstrate that the force of gravity acting on an object is proportional to the mass of the object?
Answers
Answer:
F = mg
Step-by-step explanation:
g is the constant of proportionality and force is the product of mass and the acceleration due to gravity
f is directly proportional to m, therefore, f = mg
Which number is a common multiple of 2 and 4?
A) 14
B) 24
C) 26
D) 34
LAST QUESTION MORE POINTS LETS TAKE IT TO 100!
Answers
Answer: B) 24
Step-by-step explanation:
All of these are multiples of 2 since they are all even numbers, so we will look to see which is a multiple of four.
Multiples of four are 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, etc.
I bolded and underlined 24 because it is in the list of options. B) 24 is a common multiple of 2 and 4.
24 / 2 = 12
24 / 4 = 6
find the greatest factor of 29g5h4 19g3h5
Answers
Answer:
gh1
Step-by-step explanation:
19 is prime and 29 is not divisible by 19 therefore 1g is the highest. 5 and 3 are both prime so again, 1h and finally, 5 is a prime number so gh1 is the greatest factor
Hey! Does can anyone help me with this? Thank you!
Answers
Answer:
=x^3/4
Step-by-step explanation:
(x^1/2)(x^1/4)
same base
1/2+1/4
=3/4
=x^3/4
x
3
+5x
2
−32x−7 divided by x-4x−4 is x^2+9x+4+\frac{9}{x+4}x
2
+9x+4+
x+4
9
(LOOK CAREFULLY!)
badddddddiesssssssss hmuuuuuuuu lulllllllllllllllllllllllllllllllllll
Answers
Answer:
The answer is 52x1100=21plus 23= 50010
Step-by-step explanation:
One natural number is 4 more than another one. The product of the two numbers is three times the square of the lesser
number. Find the numbers.
Answers
Answer:
2 and 6
Step-by-step explanation:
Among all rectangles that have a perimeter of 188, find the dimensions of the one whose area is largest.
Answers
Regis leans a 10-foot ladder against a wall. The base of the ladder makes a 65 angle with the ground.
(a)
What is the distance, In feet, from the base of the ladder to the base of the wall? Round to the nearest tenth of a foot.
(b) Regis needs to move the ladder so that it reaches a window 9.6 feet above the ground.
How many feet closer to the building does he need to move the base of the ladder?
Answers
The distance, In feet, from the base of the ladder to the base of the wall is 4.2 ft.
He needs to move the ladder 0.1 ft closer to the base of the building.
The situation forms a right angle triangle.
Right angle triangleRight angle triangle has one of its angles as 90 degrees. The sides and angle can be found using trigonometric ratios.
The length of the ladder is the hypotenuse of the triangle formed. Therefore, the distance, In feet, from the base of the ladder to the base of the wall can be calculated as follows;
cos 65° = adjacent / hypotenuse
cos 65° = d / 10
d = 10 × 0.42261826174
d = 4.22618261741
d = 4.2 ft
She needs to move the ladder so it reached a window 9.6 feet above the ground. Therefore, the distance from the base of the ladder and the wall is as follows;
cos 65 = d / 9.6
d = 9.6 × 0.42261826174
d = 4.05696
d = 4.1
Therefore, he needs to move the ladder 0.1 ft closer to the building.
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Complete the sentence with the correct word in
parentheses.
1- My friend's children have no
(manners / impression). When we were at a restaurant last
night, they were running around the restaurant and talking
loudly.
2- It was hard for Laxmi to make eye contact with his boss,
because in his country that does not show
(gesture / respect).
3- In the experiment, the researchers studied the
(behavior / activity) of the
children as they interacted with adults.
4- I try to
(interrupt / avoid) going
outside when it's very cold.
Answers
Answer:
1- manners
2-respect
3-behaviour
4-avoid
Answer:
1- manners
2- respect
3- behavior
4- avoid