Answer:
Carpenters can install about 123 hinges.
Step-by-step explanation:
Since each hinge requires 3 screws. Divide 371 by 3.
= 123.666667
Answer:
123
Step-by-step explanation:
[tex]\lim_{n \to \infty} a_n \pi \beta[/tex][tex]\left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right] \alpha \leq x^{2} \sqrt{x} x^{2}[/tex]that's how I got it
[tex]\lim_{n \to \neq \geq \leq x^{2} x^{2}[/tex]
-21 is a number b divided by 3
minus 5.
Answer: b is -48
Step-by-step explanation:
-21 = b/3 - 5/1
Cross multiply
b-15= -21 ×3
b-15= -63
b= -63 + 15
b= -48
To cross -check,
-21 = -48/3 -5
-21= -16 -5
Mark as brainliest please.
-2x(3x - 4) = 0 Write the equation in standard form.
Answer:
x=0
Step-by-step explanation:
First, we expand.
-2x(3x-4)=0
-6x+8x=0
2x=0
x=0
If f(x) = 2x^2 and g(x)= x^2 + 2x, which expression represents f(g(x))?
A) 2x^4 + 4x^2
B) 4x^4 + 4x^2
C) 2x^4 + 8x^2
D) x^4 + 4x^3 + 4x^2
E) 2x^4 + 8x^3 + 8x^2
I could really use some help right now. I have been trying to do this for a few hours and still can't seem to find the right answer. If someone could please help me out it would mean a lot to me.
EF is 1.98, AB is 16.23 and HI is 12.22
Step-by-step explanation:
Step 1:
In figure 1, given sin 26° = 0.44 and hypotenuse = 4.5. Use trigonometric ratio sin D to find EF.
sin 26° = EF/DF
⇒ 0.44 = EF/4.5
∴ EF = 0.44 × 4.5 = 1.98
Step 2:
In figure 2, given cos 52° = 0.616 and adjacent side (AC) = 10. Use trigonometric ratio cos A to find hypotenuse (AB).
cos 52° = AC/AB
⇒ 0.616 = 10/AB
∴ AB = 10/0.616 = 16.23
Step 3:
In figure 3, given tan 42° = 0.90 and opposite side (GH) = 11. Use trigonometric ratio tan I to find adjacent side (HI).
tan 42° = GH/HI
⇒ 0.90 = 11/HI
∴ HI = 11/0.90 = 12.22
Answer:
1) 1.98 units
2) 16.23 units
3) 12.22 units
Step-by-step explanation:
Q1) sin(26) = EF/ FD
0.44 = EF/4.5
EF = 4.5×0.44 = 1.98
Q2) cos(52) = AC/AB
0.616 = 10/AB
AB = 10/0.616
AB = 16.23
Q3) tan(42) = GH/HI
0.9 = 11/HI
HI = 11/0.9
HI = 12.22
A car manufacturer sold about 332,000 cars last year. The number of cars
sold this year is 125% of the cars sold last year. About how many cars were sold this year
sold this
Answer:
415,000
Step-by-step explanation:
First, find the decimal equivalent of 125%. To do this, divide 125 by 100 or move two decimal places to the right: 125/100 = 1.25
Now multiply the amount of cars sold last year, 332,000, by the percentage decimal, 1.25: 332,000 x 1.25 = 415,000
The car manufacturer sold 415,000 cars this year
1. If the length of a rectangle is 6 more than its width, and its perimeter is 48
inches, what is the length of the rectangle?
For this case we have that by definition, the perimeter of the rectangle is given by:
[tex]P = 2w + 2L[/tex]
Where:
W: Is the width of the rectangle
L: is the length of the rectangle
According to the data we have:
[tex]L = 6 + w\\P = 48[/tex]
Substituting:
[tex]48 = 2w + 2 (6 + w)\\48 = 2w + 12 + 2w\\48 = 4w + 12\\48-12 = 4w\\36 = 4w\\w = \frac {36} {4}\\w = 9[/tex]
So, the width of the rectangle is 9 inches
[tex]L = 6 + 9 = 15[/tex]
So, the length of the rectangle is 15 inches
Answer:
the width of the rectangle is 9 inches
the length of the rectangle is 15 inches
What is the slope of a line y=7.8x+62
Answer:
m = 7.8
Step-by-step explanation:
Its the slope. Its the number next to the x.
What is a non-meric unit system
Answer:
The metric system of measurement, the International system of units (SI Units), is widely used for quantitative measurements of matter in science and in most countries. ... Any units used in other system of measurement (i.e. not included in the SI system of measurement), will be referred to as non-SI units.
Wouldn't mind if you gave me Brainiest.
40 é 200% de que quantia?
Answer:
Quant. ---- Porcentagem
200 ------------- 100
X ------------------ 40
100X = 8.000
Step-by-step explanation:
HELP ASAP
What is the exact volume of the cylinder!
Answer:
54[tex]\pi[/tex] inch^3
Step-by-step explanation:
you have to multiply 6*9 because the actual volume isnt on there. you would have to multiply 54 by 3.14 to get the actual volume, that is just the equation simplified. V=[tex]\pi[/tex]*r^2 *h
Robert is lying on the ground, looking at the top of a flagpole. The angle of elevation to the top of the flagpole is
55° . What is the height of the flagpole if the distance from his eyes at the ground to the base of the flagpole is
400 ft? Round to the nearest foot.
550
400 ft
Answer:
Height of flagpole = 571 ft
Step-by-step explanation:
Given:
Angle of elevation to the top of the flagpole is 55° .
Distance from the eyes to the base of flagpole = 400 ft.
To find the height of the flagpole.
Solution:
We can draw the situation as a right triangle as shown below.
In triangle ABC.
[tex]BC=400\ ft[/tex]
∠C= 55°
To find the length AB (height of the flagpole).
Applying trigonometric ratio :
[tex]\tan\theta=\frac{Opposite\ side}{Adjacent\ side}[/tex]
[tex]\tan C=\frac{AB}{BC}[/tex]
Plugging in values.
[tex]\tan 55\°=\frac{AB}{400}[/tex]
Multiplying both sides by 400.
[tex]400\tan 55\°=\frac{AB}{400}\times 400[/tex]
[tex]571.26=AB[/tex]
∴ [tex]AB\approx 571\ ft[/tex]
Height of flagpole = 571 ft
Final answer:
The flagpole's height is approximately 571 feet when rounded to the nearest foot.
Explanation:
To find the height of the flagpole, we use the angle of elevation and the distance from the observer to the flagpole's base, which forms a right-angled triangle. We can calculate the height of the flagpole by using the tangent function:
Tan(55°) = (height of the flagpole) / 400 ft
Therefore,
(height of the flagpole) = tan(55°) * 400 ft
A calculator can be used to find that tan(55°) approximately equals 1.4281.
Multiplying this by 400 gives the height of the flagpole:
Height of the flagpole = 1.4281 * 400 ft
Height of the flagpole ≈ 571.24 ft
When rounded to the nearest foot, the height of the flagpole is approximately 571 feet.
PLZZZZ HELP THIS IS DUE IS 5 MINUTES
The five number summary for a set of data is shown. Which choice could be the values in the data set?
Answer:
3. 14, 20, 24, 18, 16, 12, 15, 13, 17, 12, 19
Step-by-step explanation:
14, 20, 24, 18, 16, 12, 15, 13, 17, 12, 19
Rearrange data:
12, 12, 13, 14, 15, 16, 17, 18, 19, 20, 24
Min: 12
Max: 24
Median position: (11+1)/2 = 6th value
Median: 16
Q1: 3rd value form the lower end
Q1 = 13
Q3: 3rd value form the upper end
Q3 = 19
Write the product of 5/9 and 25 as a mixed number
Answer:
13 8/9
Step-by-step explanation:
25*(5/9) is equal to (25*5)/9
25*5 = 125 and 9 goes into 125 13 times with a remainder of 8
The solution would be:
13 8/9
Answer:
13 8/9
Step-by-step explanation:
5/9 x 25
Multiply through
125/9
13 8/9
which statement best describes the relation (3, 4), (4, 3), (6, 3), (7, 8), (5, 4)? Question 2 options:
The relation represents y as a function of x, because each value of x is associated with a single value of y.
The relation represents y as a function of x, because one value of y is associated with two values of x.
The relation does not represent y as a function of x, because each value of y is associated with two values of x.
The relation does not represent y as a function of x, because each value of x is associated with a single value of y.
Answer:
This relation represent y as a function of x, because each value of x is associated with a single value of y
Step-by-step explanation:
we know that
A function is a relation from a set of inputs (x values) to a set of possible outputs (y values) where each input is related to exactly one output
we have the relation
[tex](3, 4), (4, 3), (6, 3), (7, 8), (5, 4)[/tex]
This relation represent y as a function of x, because each value of x is associated with a single value of y
Find the complex conjugate of 14+ 12i
Answer:
14 - 12i
Step-by-step explanation:
Given the complex number a ± bi, then the complex conjugate is
a ∓ bi
Note that the real part a remains unchanged while the sign of the imaginary part is reversed.
Given 14 + 12i then the conjugate is 14 - 12i
The radius of a cylindrical water tank is 5.5ft, and its height is 13ft. What is the volume of the tank?
Answer:
V = 393.25π ≈ 1234.81 ft³
Step-by-step explanation:
Volume of a cylinder:
V = πr²h
r = 5.5 ft
h = 13 ft
V = π (5.5)² (13)
V = π (30.25)(13)
V = 393.25π ≈ 1234.81 ft³
Answer:
1235.43 ft³
Step-by-step explanation:
Volume of the cylindrical water tank=πr²h
Where r=5.5,h=13
Volume=(3.14)(5.5)²(13)
=(3.14)(30.25)(13)
=1235.43 ft³
Please help. I’ll mark you as brainliest if correct!
A motorcycle shop maintains an inventory of five times as many new bikes as used bikes. If there are 65 new bikes, how many used bikes are now in stock?
which is bigger 12 pints or 6 cups
Answer:
12 pints is bigger
Explanation: A pint is two cups, so 12 pints would be 24 cups.
The correct answer is that 12 pints is bigger than 6 cups.
To understand why, let's look at the conversion factors between pints and cups. In the United States Customary System, 1 pint is equivalent to 2 cups.
Now, let's calculate the volume of 12 pints in cups:
[tex]\[ 12 \text{ pints} \times \frac{2 \text{ cups}}{1 \text{ pint}} = 24 \text{ cups} \][/tex]
Comparing 24 cups (which is the equivalent of 12 pints) to 6 cups, it is clear that 24 cups is larger than 6 cups. Therefore, 12 pints is bigger than 6 cups.
Solve. x(x + 1) = 20
Answer:
x =(1+√81)/2=(1+9)/2= 5.000
or:
x =(1-√81)/2=(1-9)/2= -4.000
Step-by-step explanation:
there now can i get brainliest
solve by using substitution . SHOW YOUR WORK. 3х + y = –17
бx — бу = –18
Step-by-step explanation:
1. 3x+y+17=0
2.x-y+3=0
Sorry mam I use mental math
Answer: X = —5 and Y = —2
Step-by-step explanation: What we have is a pair of simultaneous equations;
3X + Y = —17 —————-(1)
6X — 6Y = —18 ————(2)
We shall use the substitution method as instructed. Looking at equation (1),
We shall make Y the subject of the equation, hence
Y = —17 —3X
We shall now substitute for the value of Y into equation (2)
6X — 6Y = —18
6X — 6(—17 —3X) = —18
6X + 102 + 18X = —18
By collecting like terms we now have
24X = —18 —102
(Note that when a positive value crosses to the other side of the equation it becomes negative and vice versa)
24X = —120
Divide both sides of the equation by 24
X = —5
Having calculated the value of X as —5, we can now calculate Y as follows
From equation (1)
3X + Y = —17
3(—5) + Y = —17
—15 + Y = —17
Add 15 to both sides of the equation
—15 + 15 + Y = —17 + 15
Y = —2
Therefore, X = —5 and Y = —2
If the part shown is ¾ of a flag, what could the whole flag look like? Draw a picture and write a fraction to represent the whole.
Answer:
Although I cannot draw a picture, a fraction to represent the whole is 4/4, 1/1, or 1.
Step-by-step explanation:
|x−y+z| if x=3; y=−2; z=−6
Answer:
1 is the answer
Step-by-step explanation:
[tex] |x - y + z| = |3 + 2 - 6| \\ = | - 1| = 1[/tex]
What do the numbers 0.5, 5,49, and 0.3 reapeating have in common?
Answer:
They are all odd numbers.
Step-by-step explanation:
Ok so we know that numbers that end with 1,3,5,7 and 9 are odd numbers and all the numbers listed in the question all end with these numbers.
Which expression shows the correct way to find the distance between
(23,17) and (43,14)? ( TTM)
Answer:
d=[tex]\sqrt{x} (43-23)^2+(14-17)^2[/tex]
Answer= 20.224
Step-by-step explanation:
Answer:
thats teh answer
Step-by-step explanation:
A rose garden is going to be built in the city park in the shape of a parallelogram with a rectangular walkway through it. The garden region is shown below. There will not be roes in the walkway. Find the total area where roes will be planted. Show your work.
760 sq feet
Step-by-step explanation:
Step 1 :
The sides of the given parallelogram are 60 feet and 40 feet and the height is 38 feet
The length of the rectangular walkway = 38 ft
Width of the walkway = 20 ft
The roses are planted in the park (parallelogram) except in the walkways 's area ( rectangle)
Hence the total area where the roses are planted is the park 's area (parallelogram) - the walkway's area ( rectangle.)
Step 2 :
Area of the park (parallelogram ) = b * h = 40 * 38 = 1520 sq ft
Area of the walkway (rectangle) = l * b = 38 * 20 = 760 sq ft
Area of the park where roses will be planted = 1520 - 760 = 760 sq ft.
Find the distance between -2x + y = 6 and x = 1/2x - 4. Round your answer to the nearest tenth.
Please I need help and answer in a decimal
The distance between the two lines,-2x + y = 6 and x = 1/2x - 4, is approximately 4.5 units
Calculating the distance between two linesTo find the distance between two lines, we can use the formula:
Distance = |(Ax + By + C)| / sqrt(A^2 + B^2)
Where A, B, and C are the coefficients of the standard form equation of the first line
and x and y are the coordinates of a point on the second line.
Let's first convert the equations of the lines into the standard form (Ax + By + C = 0):
-2x + y - 6 = 0 --> 2x - y + 6 = 0 (Line 1)
x - 2x/2 - 4 = 0 --> -x + 4 = 0 --> x - 4 = 0 (Line 2)
Now, we can use the formula to find the distance between the two lines:
distance = |(Ax + By + C)| / sqrt(A^2 + B^2)
Let's take a point on Line 2, for example, (4,0). Then:
Distance = |(24 - 10 + 6)| / sqrt(2^2 + (-1)^2)
Distance = |10| / sqrt(4 + 1)
Distance = 10 / sqrt(5)
Distance = 4.472
Distance ≈ 4.5
Hence, the distance is approximately 4.5 units
Learn more on Calculating the distance between two lines here: https://brainly.com/question/13823215
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what does quadratic function?
Answer:
A quadratic function is one of the form f(x) = ax2 + bx + c, where a, b, and c are numbers with a not equal to zero.
Kevin using 84 fluid ounces of water to make in all purpose cleaner. The directions call for 4 fluid ounces of concentrated soap for every 3 cups of water. How many fluid ounces of soap should he use? (1 cup = 8 ounces)
He should use 886 fluid ounces of soap.
Step-by-step explanation:
Know that 8 fluid ounces make 1 cup.
Now 24 cups need 32 fluid ounces or, 3 fluid ounces of water need 32 fluid ounces of soap.
Thus, by unitary method,
84 ounces of water need 32 × 84 / 3 ounces of soap.
Thus the answer comes to 886 ounces.
3. An online video game tournament begins with 1024 players. Four players play in each
game. In each game there is only one winner, and only the winner advances to the
next round. How many games will the winner play?
Answer:
The winner play 341 games.
Step-by-step explanation:
An online video game tournament begins with 1024 players.
Four players play in each game
It forms GP : [tex]\frac{1024}{4}=256 , \frac{256}{4}=64 , \fra{64}{4}=16 , \frac{16}{4}=4 , \frac{4}{4}=1[/tex]
So, GP: 256, 64,16,4 , 1
First term = a = 256
Common ratio = [tex]\frac{64}{256}=\frac{4}{16}=\frac{1}{4}[/tex]
Formula of nth term =[tex]a_n=ar^{n-1}[/tex]
[tex]1 = 256 (\frac{1}{4})^{n-1}[/tex]
[tex]\frac{1}{256}=(\frac{1}{4})^{n-1}[/tex]
[tex](\frac{1}{4})^9=(\frac{1}{4})^{n-1}[/tex]
4=n-1
5=n
So, Sum of first n terms=[tex]S_n=\frac{a(1-r^n)}{1-r}[/tex]
Substitute n = 5
[tex]S_5=\frac{256(1-(\frac{1}{4})^5)}{1-\frac{1}{4}}[/tex]
[tex]S_5=341[/tex]
Hence the winner play 341 games.
The winner will play 10 games.
Explanation:With 1024 players for the first round, each game will have 4 players. Since there can only be one winner per game, the winner of each game will advance to the next round. To determine the number of games the winner will play, we need to find out how many rounds there will be. In each round, the number of players is halved until only one player remains. Therefore, the number of rounds is equal to the logarithm base 2 of the initial number of players. So, the winner will play a total of log2(1024) = 10 games.
Learn more about online video game tournament here:https://brainly.com/question/15023801
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Plez help click on picture
The volume of the spherical piece is 288.55 cm³.
Solution:
Diameter of the sphere = 8.2 cm
Radius of the sphere = 8.2 ÷ 2 = 4.1 cm
The value of π = 3.14
Volume of the sphere [tex]=\frac{4}{3} \pi r^{3}[/tex]
[tex]$=\frac{4}{3} \times 3.14 \times(4.1)^{3}[/tex]
[tex]$=\frac{4}{3} \times 3.14 \times68.921[/tex]
= 288.55 cm³
The volume of the spherical piece is 288.55 cm³.