Answer:
15 ft 1 in
Step-by-step explanation:
To convert inches into feet, we divide by 12.
12 goes into 181 fifteen times, so the # of feet is 15 feet.12 x 15 = 180.181 - 180 = 1, so the # of remaining inches is 1 inchTherefore, the answer is 15 ft 1 in.
[tex]6+\sqrt[5]{249-2x} =7[/tex]
Answer: 124
Step-by-step explanation:
First, subtract 6 on both sides to get:
[tex]\sqrt[5]{249-2x} =1[/tex]
Take both sides to the 5th power. The radical will cancel, and the right side will be unchanged:
[tex]249-2x=1[/tex]
Subtract 249 on both sides:
[tex]-2x=-248[/tex]
[tex]2x=248[/tex]
[tex]x=124[/tex]
Answer:
x=124
Step-by-step explanation:
[tex]6+\sqrt[5]{249-2x} =7\\\sqrt[5]{249-2x} =7-6=1\\249-2x=1^5=1\\249-1=2x\\2x=248\\x=\frac{248}{2} =124[/tex]
if the edge of the circle lies four units directly up from the x-axis what is the length of BC? What is the distance from B to D?
By using what we know about circles and distance between points, we will see that:
BD = 18 units
BC = 16.97 units
What is the distance from B to D?
Remember that the distance between two points (x₁, y₁) and (x₂, y₂) is given by:
[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]
The distance from B to D, will be equal to the distance from B to A, minus the radius of the circle.
Because we know that the center of the circle is at (8, 10), and the edge of the circle is 4 units above the x-axis, we can assume that the closest point on the circle to the x-axis is:
(8, 4)
Then the radius of the circle is given by the distance between these two points:
[tex]r = \sqrt{(8 - 8)^2 + (10 - 4)^2} = 6[/tex]
Now we need to find the distance between A and B.
A = (8, 10)
B = (0, 10 - 16*√2)
The distance between these points is:
[tex]d = \sqrt{(8 - 0)^2 + (10 - 10 + 16*\sqrt{2})^2 } \\\\d = \sqrt{(8)^2 + (16*\sqrt{2})^2 } = 24[/tex]
And the distance from B to D is the distance from B to A, minus the radius of the circle, so we have:
BD = BA - r = 24 - 6 = 18
The distance from B to D is 18 units.
To get the value of BC, we use the fact that this is a cathetus of a right triangle with a hypotenuse of 18 units, and where the other side AC measures 6 units, then we have:
BC^2 + 6^2 = 18^2
BC = √(18^2 - 6^2) = 16.97 units.
If you want to learn more about circles, you can read:
https://brainly.com/question/1559324
A large plastic bucket is in the shape of a right, circular cylinder with dimensions shown below. If there are volume of this cylinder? 1000 cubic centimeters in a liter and 3.785 liters in a gallon, then which of the following is true about the volume of this cylinder?
The volume of the cylinder is between 5 and 6 gallons.
What is the volume of the cylinder?
A cylinder is a three-dimensional shape that is made up of a prism with a circular base.
Volume of a cylinder = nr^2h
Where:
h = heightn = 22/7r = radius22/7 x 28 x (15^2) = 19,800 cubic centimeters
First convert the volume to liters = 19,800 / 1000 = 19.8
Now convert to gallons = 19.8 / 3.785 = 5.23 gallons
Please find attached the complete question. To learn more about to determine the volume of a cylinder, check: https://brainly.com/question/9624219
An observatory is 150 feet high. When a person is standing in the observatory looking at an island, the angle of depression is . What is the approximate horizontal distance from the observatory to the island?
A. 70 feet
B. 166 feet
C. 322 feet
D. 355 feet
Answer:
C
Step-by-step explanation:
We want to find the horizontal distance from the observatory to the island, which is adjacent to the known angle.
Because we also know the height of the observatory and is opposite to the angle, we can consider using tangent. Recall that:
[tex]\displaystyle \tan \theta ^\circ = \frac{\text{opposite}}{\text{adjacent}}[/tex]
Let the horizontal distance be x. Substitute in known values:
[tex]\displaystyle \tan 25^\circ = \frac{150}{x}[/tex]
Solve for x:
[tex]\displaystyle x = \frac{150}{\tan 25^\circ}[/tex]
Use a calculator. Hence:
[tex]x\approx 322\text{ feet}[/tex]
In conclusion, our answer is C.
Answer:
c.322 ft
Step-by-step explanation:
took the test
Emily says that a square is always a rectangle. Jenna says a rectangle is always a square. Who is correct and why are they correct?
Answer:
Jenna is right
Step-by-step explanation:
Jenna is right because what makes up a square is its four sides. When calculating the area of a rectangle you use the same formula as you would for a square. A rectangle is just an elongated square.
A prism is completely filled with 64 cubes that have edge lengths of 1/2
In
What is the volume of the prism?
Enter your answer in the box.
in3
Answer:
9in³
Step-by-step explanation:
Hope this answers helps you
3x4^2=144 determin if true
Answer:
False
Step-by-step explanation:
By order of operations, in this case, we first have to solve exponents and THEN multiply by 3.
[tex]3*4^2=144[/tex] [tex]3*16=144[/tex] [tex]48\neq 144[/tex]Therefore, this equation is false.
Answer:
False
Step-by-step explanation:
4^2=16
4^2=163x16=48
4^2=163x16=4848=144
4^2=163x16=4848=144The numbers dont match.
4^2=163x16=4848=144The numbers dont match.Hence the equation is false.
ahmed is 17 years old and grandmother is 86 years old express ahmed's age age as percentage of his grand
Answer:
17÷86×100%
=0.19×100%
=19%
2=x+10/13
i really need help where everything goes
1: 26=x+10, multiplication property of equality
2: 16=x, simplify
3:
4
For what values of θ, 0° ≤ θ ≤ 360°, will y = cos (θ) equal 0?
I. 0° II. 90° III. 180° IV. 270° V. 360°
Answer:
D) I, III, and V
Step-by-step explanation:
Edge
Which statement is true about this equation? -9(x-3)+12=-3(2x+5)-3x
Answer:
Any value of "x" makes the equation true
Step-by-step explanation:
(-∞,∞)
All real numbers
i hope this work for you
do the lengths 5, 15, 10 make a triangle & why
Answer:
No, they do not
explanation: "The sum of the lengths of any two sides of a triangle must be greater than the length of the third side."
Rex has to ride 3 miles on his bike. Each lap around his block is 1/8 mile. Rex wants to figure out how many laps he needs to ride his bike.
Answer:
24 milesStep-by-step explanation:
If each lap is 1/8 of a mile, then we have to do 3x8 to get our answer.
8x3=24
So hence, Rex has to go 24 times around his block to ride his bike for 3 miles.
Thanks!
I don't know the answer please tell me the correct one
Answer:
See below
Step-by-step explanation:
Radius (r) = 8 inches
Chord = 8 inches
Since, length of radii and chord are equal. Thus the Triangle so formed by radii and chord will be an equilateral triangle.
[tex]\implies [/tex] angle subtended at the centre of the circle [tex](\theta)=60\degree [/tex]
Formula for area of segment of a circle is given as:
[tex]A = \frac{ {r}^{2} \theta }{36 0 \degree} \pi - \frac{1}{2} {r}^{2} \sin \theta \\ \\ \implies \: A = \frac{ {(8)}^{2} ( \cancel{60 \degree)}}{ \cancel{360 \degree}} \pi - \frac{1}{2} {(8)}^{2} \sin 60\degree \\ \\ \implies \: A = \frac {64 }{6} \pi - \frac{1}{2} \times 64 \times \frac{ \sqrt{3} }{2} \\ \\ \implies \: \huge \purple{ \boxed{A = \bigg( \frac {32 }{3} \pi - 16 \sqrt{3}\bigg) }\: sq\:in}[/tex]
Which inequality represents all the solutions of -2(3x + 6) = 4(x + 7)?
ОА.
X2-4
ОВ.
XS-4
O c. 28
OD.
xs 8
The answer is x=-4
I’ve attached my work explaining why below :)
x≤-4 is the inequality represents all the solutions of -2(3x + 6) = 4(x + 7)
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given equation is -2(3x + 6) = 4(x + 7
We need to find the inequality which represents the solutions of the equation.
Let us solve for x
-2(3x + 6) = 4(x + 7)
Apply distributive property
-6x-12=4x+28
Take the variable terms on one side.
-6x-4x=28+12
-10x=40
Divide both sides by 10
x=-4
Hence, x≤-4 is the inequality represents all the solutions of -2(3x + 6) = 4(x + 7)
To learn more on Equation:
https://brainly.com/question/10413253
#SPJ7
Fill in the blank
y / 5
(y + 5) / 5
(y + 6) / 6
y / 2
y / 6
Step-by-step explanation:
[tex] \frac{x + 3}{3} = \frac{y + 2}{2} [/tex]
[tex]2(x + 3) = 3(y + 2)[/tex]
[tex]2x + 6 = 3y + 6[/tex]
[tex]2x = 3y[/tex]
[tex] \frac{x}{3} = \frac{y}{2} [/tex]
Consider the following functions.
f(x) = x^2 + 1
g(x) = f(x - 5)
h(x) = f(x+3)
Please help set the table up!
The table of values for the functions f(x) = x^2 + 1, g(x) = f(x - 5) and h(x) = f(x+3) is:
[tex]\left[\begin{array}{cccccc}x&f(x)&x&g(x)&x&h(x)\\-2&5&-2&50&-2&2\\-1&2&-1&37&-1&5&0&1&0&26&0&10&1&2&1&17&1&17&2&5&2&10&2&26\end{array}\right][/tex]
How to set up the tableThe equations of the functions are given as:
[tex]f(x) = x^2 + 1[/tex]
[tex]g(x) = f(x - 5)[/tex]
[tex]h(x) = f(x+3)[/tex]
For function f(x), we have:
f(-2) = (-2)^2 + 1 = 5
f(-1) = (-1)^2 + 1 = 2
f(0) = (0)^2 + 1 = 1
f(1) = (1)^2 + 1 = 2
f(2) = (2)^2 + 1 = 5
For function g(x), we have:
g(-2) = f(-2 - 5) = f(-7) = (-7)^2 + 1 = 50
g(-1) = f(-1 - 5) = f(-6) = (-6)^2 + 1 = 37
g(0) = f(0 - 5) = f(-5) = (-5)^2 + 1 = 26
g(1) = f(1 - 5) = f(-4) = (-4)^2 + 1 = 17
g(2) = f(2 - 5) = f(-3) = (-3)^2 + 1 = 10
For function h(x), we have:
h(-2) = f(-2 + 3) = f(1) = (1)^2 + 1 = 2
h(-1) = f(-1 + 3) = f(2) = (2)^2 + 1 = 5
h(0) = f(0 + 3) = f(3) = (3)^2 + 1 = 10
h(1) = f(1 + 3) = f(4) = (4)^2 + 1 = 17
h(2) = f(2 + 3) = f(5) = (5)^2 + 1 = 26
Substitute the above values in the blank table.
So, we have:
[tex]\left[\begin{array}{cccccc}x&f(x)&x&g(x)&x&h(x)\\-2&5&-2&50&-2&2\\-1&2&-1&37&-1&5&0&1&0&26&0&10&1&2&1&17&1&17&2&5&2&10&2&26\end{array}\right][/tex]
Read more about tables and functions at:
https://brainly.com/question/15602982
it costs $50 to join a gym plus $28 per month define the variable
Answer:
28
Step-by-step explanation:
because it's value increases by 28 every month
Please help!!!!!!!!!!
Answer:
Write two expressions (with at least two terms each) that when added together have a sum of -4 n + 6.
100 POINTS AND BRAINLIEST
the area of a square is 80cm find the diagonal line
Answer:
d~~12.65
Step-by-step explanation:
Urgent need help pls answer with the correct explanation
area of circle:
π * radius²
π * 2²
4π in²
area of rectangle:
length * width
20 * 4
80 in²
total area:
4π in² + 80 in²
93 in²
area of triangular prism:
( base length * perpendicular height * length ) ÷ 2
( 12.6 * 1.6 * 10.75 ) ÷ 2
216.72 ÷ 2
108.36 mm³
Tina buys three 7/8 yards of material at the fabric store she uses to make a skirt Afterward she has one and 3/8 of the fabric left over how many yards of material did Tina use
Answer:
1 and 2/8 yards of material used
Step-by-step explanation:
how do you graph y = 3x + 2
Determine the area of the triangle.
12 cm
24 cm
The area is
(Type an integer or a decimal.)
Answer: 144 square centimeters
Step-by-step explanation:
An area of a triangle is determined by this formula: Area = Length * Height/2. Since 12 x 24 = 288, divide 288 by 2 and you will have 144
Conclusion:
it's 144 square centimeters
Gerald works at a warehouse that ships products to various grocery stores. He has 230 boxes of oatmeal to ship. If Gerald can place 12 boxes of oatmeal into a crate, what is the minimum number of crates he will need in order to ship every box of oatmeal?
Answer:
20
Step-by-step explanation:
He only can put 12 boxes in 1 crate to ship 230 boxes of oatmeal the least number of crates he can use is 20 because 20 crates would= up to 240 boxes.
He can't do 19 boxes because he is short he would then only have 228 boxes and that is 2 short.
But if he does 20 crates he would be good for what needs and just have 10 more extra.
My calculations.
2 0
1 2
____
4 0
2 0 0
+
_________
2 4 0
This is saying he had 20 crates and use x as number of boxes for example each 1 crate could ship x amount of boxes and x is representing 12 boxes per crate and since he has 20 crates what is 20 x 12= x( the number of boxes total(240 boxes)
I hope this helps have a awesome day:)
Answer:
20 crates
Step-by-step explanation:
Since he has 230 boxes and each crate can have up to 12 boxes, we can divide 230 by 12 to see how many crates will be needed:
[tex]\boxed{\frac{230}{12} }[/tex]
Let's do long division to solve this:
we have the equation 230 ÷ 12
__________
12 | 2 3 0
__0_______
12 | 2 3 0
-0
2 3
__0__1____
12 | 2 3 0
-0
2 3
-1 2
1 1 0
__0__1__9_
12 | 2 3 0
-0
2 3
-1 2
1 1 0
-1 0 8
0 0 2
So, as we can see, the quotient is 19 but we have a remainder of 2, which means that, from the 230 boxes, 228 fits into 19 crates and 2 boxes are left. This means that we will need one extra crate to put these 2 boxes.
So, in total, he will need 20 crates.
[tex]Solved~by~-InLoveWithNature-[/tex]
If you have any queries please ask.
This data set represents the lengths in inches of pieces of ribbon used in a project.
What is the mean of this data set?
{1/4, 1 1/3, 2/3, 1/4, 1/2}
Enter your answer as a fraction in simplest form in the box.
in.
Answer:
3/5
Step-by-step explanation:
made all equivanlent fractions
1/4+4/3+2/3+1/4+1/2
make same denominator
3/12+16/12+8/12+3/12+6/12
add up
36/12 reduces to 3/1
divide by the nu mber of values
(5)
= 3/5
Solution:
The mean formula is:
Sum/Total IntegersUsing the formula:
(1/4 + 4/3 + 2/3 + 1/4 + 1/2)/5Adding/Subtracting like terms:
(2/4 + 6/3 + 1/2)/5Simplifying 2/4:
(1/2 + 2 + 1/2)/5Adding/Subtracting like terms:
=> (1 + 2)/5=> 3/5Thus, the mean is 3/5.
30 percent off entire purchase the gloves cost $35 before the discount
solve the following inequality |2x-6|<10
Answer:
Absolute Value Inequality entered : |2x-6|<10
Step by step solution :STEP 1:Rearrange this Absolute Value InequalityAbsolute value inequalitiy entered |2x-6| < 10 STEP 2:Clear the
Absolute Value BarsClear the absolute-value bars by splitting the equation into its two cases, one for the Positive case and the other for the Negative case.
The Absolute Value term is |2x-6| For the Negative case we'll use -(2x-6) For the Positive case we'll use (2x-6) STEP 3:Solve the Negative Case -(2x-6) < 10 Multiply -2x+6 < 10 Rearrange and Add up -2x < 4 Divide both sides by 2 -x < 2 Multiply both sides by (-1) Remember to flip the inequality sign x > -2
Which is the solution for the Negative Case
STEP 4:Solve the Positive Case (2x-6) < 10 Rearrange and Add up 2x < 16 Divide both sides by 2 x < 8 Which is the solution for the Positive Case
STEP 5:Wrap up the solution -2 < x < 8 Solution in Interval Notation (-2,8) Solution on the Number Line
One solution was found : -2 < x < 8
Step-by-step explanation:
mark me brainliest!!
What is the sum of the squared distances from the mean?
Answer:
The sum of squares is the sum of the square of variation, where variation is defined as the spread between each individual value and the mean. To determine the sum of squares, the distance between each data point and the line of best fit is squared and then summed up. The line of best fit will minimize this value.
Does (5, 7) make the equation y = x true?
Answer:
x = y the answer is this...