Answer:
B is the answer in the first quadrant x is positive
The area of a triangle is 838. Two of the side lengths are 63 and 29 and the included
angle is obtuse. Find the measure of the included angle, to the nearest tenth of a
degree.
Answer: 113.5
Step by Step Explanation:
Orchid wants to retile her bathroom floor, which has an area of 40 square feet. She is deciding between two types of custom tiles. The square tile is One-half foot by One-half foot and costs $0. 45 per tile. The rectangular tile is 2 feet by One-fourth foot and costs $0. 80 per tile. Which tile should Orchid choose to minimize costs? Explain. She should choose the square tiles because the total cost will be $8 less. She should choose the rectangular tiles because the total cost will be $8 less. She should choose the square tiles because the total cost will be $14 less. She should choose the rectangular tiles because the total cost will be $14 less.
The tile should Orchid choose, to minimize costs, is rectangular tiles. The total cost will be $8 less.
What is the area of square and rectangle?Area of square is the square of its sides length. Area of rectangle is the product of the length of the rectangle and the width of the rectangle. It can be given as,
[tex]A=a\times b[/tex]
Here, (a)is the length rectangle and (b) is the width of the rectangle.
Orchid wants to retile her bathroom floor, which has an area of 40 square feet. She is deciding between two types of custom tiles.
The square tile is One-half foot by One-half foot. Thus, the area of square tile is,
[tex]A=\left(\dfrac{1}{2}\right)^2\\A=\dfrac{1}{4}\rm ft^2[/tex]
Total square tiles required for 40 square feet area,
[tex]n=\dfrac{40}{\dfrac{1}{4}}\times\\n=160[/tex]
Square tile costs $0.45 per tile. Thus, the cost of 160 square tile is,
[tex]C_s=0.45\times160\\C_s=72[/tex]
The rectangular tile is 2 feet by One-fourth foot. Thus the area of thios tile is,
[tex]A_r=2\times\dfrac{1}{4}\\A_r=\dfrac{1}{2}\rm\;ft^2[/tex]
Number of rectangular tiles required for 40 square feet area,
[tex]n=\dfrac{40}{\dfrac{1}{2}}\\n=80[/tex]
The cost of this tile is $0.80 per tile. Thus, the cost of 80 rectangle tiles is,
[tex]C_s=0.8\times80\\C_s=64[/tex]
Hence, the cost of rectangular tile is $8 less than the square tile.
Thus, the tile should Orchid choose to minimize costs, is rectangular tiles. The total cost will be $8 less.
Learn more about the area of square here;
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Arithmetic and geometric sequences plato/edumentuM
Answer:
A
Step-by-step explanation:
every term of the sequence is created by multiplying the previous term by -2.4
to get the ratio (or multiplication factor) of the sequence :
4 × r = -9.6
r = -9.6/4 = -2.4
and as you can easily check, the following y values use the same factor.
so, as multiplication is used, it is a geometric sequence.
if addition were used, it would be an arithmetic sequence.
but the differences between the y values are clearly not constant (as it would be, if we added a fixed constant to every term to create the next).
so, B and D are automatically wrong.
and C is wrong, because the given ratio or multiplication factor cannot be right :
4 × 0.4 = 1.6 and never -9.6
Is this sequence arithmetic or geometric? And what is the equation? 301, 358, 415, 472…
Answer:
a_n = 244 + 57n, for n ≥ 1
Step-by-step explanation:
358 - 301 = 57
415 - 358 = 57
472 - 415 = 57
There is a constant difference, so the sequence is arithmetic.
a_1 = 301
a_2 = 358 = a_1 + 57
a_3 = 415 = a_1 + 57 × 2
a_4 = 472 = a_1 + 57 × 3
a_n = a_1 + 57 × (n - 1)
a_n = 301 + 57(n - 1)
a+n = 301 + 57n - 57
a_n = 244 + 57n, for n ≥ 1
Water flows through a pipe at a rate of 5 fluid ounces per minute. Express this rate of flow in gallons per hour. Round your answer to the nearest hundredth. help!!!
Answer:
2.34 gallons per hour
Step-by-step explanation
5 fluid ounces = 0.0390625 gallons
60 min = 1 hour
0.0390625 x 60min = 2.34 gallons per hour
-1/2 multiplied by -4/5
Answer:
0.4
Step-by-step explanation:
Rectangle ABCD has been draw below.
Define the relationship between each pair of angles below by matching each pair to "complementary", "supplementary", or "neither".
Answer: When the sum of two angles is 90°, then the angles are known as complementary angles. In other words, if two angles add up to form a right angle, then these angles are referred to as complementary angles. Here we say that the two angles complement each other.
Step-by-step explanation:
please can someone help me
Answer:
150, 108, 90 , 12
Step-by-step explanation:
Angle in France:
= Fraction occupied by France x 360 degrees
= 25/60 x 360
= 150
Angle in Spain:
= 18/60 x 360
= 108
Angle in Greece:
= 15/60 x 360
= 90
Angle in OTHER:
= 2/60 x 360
= 12
Mr. Hawkins is covering a room in carpet. The room measures 14 feet by 12 feet in a rectangular shape. Each square foot of carpets cost $2.10. What is the cost of carpeting the room?
Answer:
$352.80
Step-by-step explanation:
First, we need to find the area of the room.
A = L * W
A = 14 * 12
A = 168 ft²
Now, we need to find the cost.
168 ft² * $2.10 per ft² = $352.80
It will cost $352.80 to carpet the room
What would 5/6 ÷ by 2000 equals too
Answer:
1/2400 or 0.0004167
Step-by-step explanation:
The question can be written as :
5/6 ÷ 2000/1
This is equal to:
5/6 * 1/2000 -------introducing the product sign and the reciprocal of 2000/1
simplify as;
5/6 * 1/2000 = 1/6 *1/400 ---------dividing 5 by 2000 to get 1/400
perform multiplication
1/6 * 1/400 = 1/2400
Answer : 1/2400 or 0.0004167
Determine whether y varies directly with x. If so, find the constant of variation k. –6y = –5x
Answer:
5/6Step-by-step explanation:
Direct variation formula
y = kxGiven
-6y = -5xy = 5/6xThis is the direct variation with the constant of:
k = 5/6Answer:
the value of y varioes directly with the value of x.
Step-by-step explanation:
so k= 5x/6y
hope it helps
Question is in the pic
anybody know ow to do this one
Answer:
b=10mm
Step-by-step explanation:
6x10=60÷2=30
(base x height)÷2
Nolan used the following procedure to find an estimate for StartRoot 18 EndRoot. Step 1: Since 4 squared = 16 and 5 squared = 25 and 16 < 18 < 25, StartRoot 18 EndRoot is between 4 and 5. Step 2: Since 18 is closer to 16, square the tenths closer to 4. 4. 1 squared = 16. 81 4. 2 squared = 17. 64 4. 3 squared = 18. 49 4. 4 squared = 19. 36 Step 3: Since 18. 49 rounds to 18, 4. 3 is the best approximation for StartRoot 18 EndRoot. In which step, if any, did Nolan make an error? In step 1, StartRoot 18 EndRoot is between 4 and 5 becauseStartRoot 18 EndRoot almost-equals 20 and 4 times 5 = 20. In step 2, he made a calculation error when squaring. In step 3, he should have determined which square is closest to 18. Nolan did not make an error.
Nolan did not make an error while estimating the square root of number 18 and his all the steps are correct.
What is a square root?A real square root of a number is the value which is when multiplicand by itself gives the same value as the number posses.
Nolan used the following procedure to find an estimate for
[tex]\sqrt{18}[/tex]
Step 1:The square of the number 4 is,
[tex]4^2=16[/tex]
The square of the number 5 is,
[tex]5^2=25[/tex]
Number 18 lies between these number as,
[tex]16 < 18 < 25[/tex]
Therefore, the [tex]\sqrt{18}[/tex] is somewhere between the number 4 and 5.
Step 2:Since 18 is closer to 16, square the tenths closer to 4.
[tex]{4. 1 }^2= 16. 81\\{4. 2 }^2= 17.64\\{4. 3}^2= 18.49\\{4. 4}^2= 19.36\\[/tex]
This step is also correct, when squaring.
Step 3:Since 18.49 rounds to 18, 4.3 is the best approximation for [tex]\sqrt{18}[/tex].
All the above steps are correct.
Thus, Nolan did not make an error while estimating the square root of number 18 and his all the steps are correct.
Learn more about the square root here;
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Answer:
The answer is C: In step 3, he should have determined which square is closest to 18.
During a 60-minute period, a traffic engineer counted 54 trucks and cars that crossed a bridge. The ratio of trucks to cars that travel across the bridge is usually 2:7. The equation 2/7= t/54-t can be used to predict the number of trucks, t, the engineer should have counted. How many trucks should the engineer have counted?
Answer: the engineer counted t/26 trucks
Step-by-step explanation:
Hi yess my user name is my number teehee
Marcos goes to a bank and opens a new account. He deposits $6,500. The bank pays 1. 4% interest compounded annually on this account. Marcos makes no additional deposits or withdrawals. Which amount is the closest to the account balance at the end of 3 years? $6,591. 00 $6,683. 27 $6,773. 00 $6,776. 83.
Answer:
6773.00
Step-by-step explanation:
(6500x0.014)3=273
6500+273=6773.00
What number is 40% of 3,600
Answer:
40% of 3,600 is 1440
Step-by-step explanation:
What is the vertex of the quadratic function:
y = x2 - 6x + 11?
Answer:
(3, -16)Step-by-step explanation:
The vertex coordinates of f(x) = ax² + bx + c are: (h, k)
where: [tex]h=\dfrac{-b}{2a}\ ,\qquad k=f(h)[/tex]
f(x) = x² - 6x + 11 ⇒ a = 1 b = -6
So:
[tex]h=\dfrac{-(-6)}{2(1)}=\dfrac6{2}=3\\\\y=f(h)=-(3)^2-6(3)+1=-9-18+11=-16[/tex]
The vertex of quadratic equation is (3, 2)
How to find the vertex of quadratic equation?In order to determine the coordinates of the vertex, if they are not clearly labeled or easily identified from the graph, we will need to know the equation for the parabola. In general, the equation of a parabola has the form
y=ax²+bx+c
where a, b, and c are all real numbers, and a≠0.
This is called a quadratic equation, and this form is called the standard form of a quadratic equation.
The vertex of the parabola is located at a pair of coordinates which we will call (h, k). In order to determine what they are, we can simply use the standard form of the quadratic equation.
To find h, use the formula:h=−b/2a.
To find k, evaluate the quadratic equation when x = h. In other words, plug in the value of h for x, and solve.Given:
y= x² - 6x + 11
Now,
h= -b/2a
h= -(-6)/ 2 * 1
h= 3
Now,
y= f(h)
= 3*3 - 6*3 +11
= 9 -18 +11
= -9 +11
= 2
Learn more about vertex of equation here:
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#SPJ2
Which inequality is shown on the number line
Answer: The last one
Step-by-step explanation:
PPLLEEAASSEE HEELLPP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
A square tile is decorated with triangles and dot patterns. This tile is rotated into this new position. Which tile sections should have a dot ?
Answer:
the correct answer is the square
just help IM IN DESPERATE NEED
Answer:
C. Translate trapezoid 1 to the right 10 units, then translate the resulting figure down 9 units.
Step-by-step explanation:
Hope this helps you out!
OwO
The perimeter of a square field is 64 m. If the field is surrounded by a running path of width 3.5 m, find the area of the path. How to solve
Answer: 465m squared
(But I think I did this wrong)
Step-by-step explanation:
First, find the area of the whole thing
So 23 x 23 = 529
Now the field: 16 x 16 = 64
Then, subtract both of the areas to find the area of the path:
529 - 64 = 465
HURRRYYY I WILL MARK BRAINLIEST!
Renata wins a $20 gift card to an online music site. After Renata purchases 16 songs, the gift card has a remaining balance of $0. Which equation represents the relationship between y, the remaining balance on Renata’s gift card, and x, the number of songs purchased?
4x + 5y = –100
5x + 4y = 80
4x + 5y = 16
5x + 4y = 20
Answer:
5x + 4y = 80
Step-by-step explanation:
First, let us look at the given:
x = The number of songs purchased
y = The remaining balance of Renata's gift card
Coordinates:
1. (16,0)
2. (0,20)
Now let's look at the unknown:
Slope =?
Since we have the coordinates we can easily apply the slope formula
Now that we have our slope we can use either point-slope formation or slope-intercept formation, just pick whichever one you're comfortable with.
Point-slope formation
y - y1 = slope (x - x1)
Now just plug in the numbers:
y - 0 = 20/-16 (x - 16)
Now you multiply both sides by -16 to get rid of the fraction
-16(y - 0) = -16 (20/-16) (x - 16)
-16y - 0 = 20 (x - 16)
-16y = 20x - 320
Now subtract 20 from both sides.
-16y - 20x = 20x - 20x - 320
-20x - 16y = -320
Now we need to simplify both sides so we divide both sides by 4
-5x - 4y = -80
Now, remember, one of the rules of standard formation is that the coefficient of x cannot be smaller than zero. So you need to multiply both sides by -1.
-1 (-5x - 4y) = (-80) -1
5x + 4y = 80
Answer:
B
Step-by-step explanation:
i think its b cuz yea
Guys please help me with this question!!!!
Answer:
the correct answer is 8
may i pls have brainliest
Step-by-step explanation:
all u have to do is divided 5.2 and 0.65 to get the right answer
hope this helps
have a great day -TJ
you bought a magazine for $5 and four erasers you spent a total of $25 how much did each eraser cost
Answer:
the answer is 5
Step-by-step explanation:
eh
What is the value of 20 + 3 (7 + 4) + 5 + 2 (7 + 9)?
73
90
290
365
Answer:
90
Step-by-step explanation:
Answer:
90
Step-by-step explanation:
i took the quiz today on edge
Elva monitors her savings account online. On Monday she withdraws money, and the change to her balance is -$51.25. On Tuesday she deposits money and the change to her balance is +$39.50. She wants to know the total change in her account after the two transactions.
Answer:
39.50 + -51.25 is the expression
Step-by-step explanation:
I got it correct on I-ready!
Answer:
39.50+(-51.25)
Explanation:
Hope this helps 'cause it's correct! :)
24. Sean and Laura have the same number of action figures in their
collections. Sean has 6 complete sets plus 2 individual figures, and
Laura has 3 complete sets plus 20 individual figures. How many figures
are in a complete set?
Answer:
22 figures
Step-by-step explanation:
Complete sets = x
Individual figures = y
Then in the case of Sean,
6x + 2y = Constant
How many figures are in the complete set?
6 + 3 = 8 complete sets
and,
2 + 20 = 22 individual figures.