The length of a rectangular box is 1 inch more than twice the height of the box, and the width is 3 inches more than the height. If the volume of the box is 252 cubic inches, find the dimensions of the box. length in width in height in
Answer:
height be 4 in
length be 9 in
ANd, the width be 7 in
Step-by-step explanation:
Let us assume the height of the box be x
So the length would be 2x + 1
And, the width be x + 3
As we know that
The volume of the rectangular box = length × width × height
252 = (2x + 1) × (x + 3) × (x)
252 = (2x^2 + x) × (x + 3)
252 = 2x^3 + 6x^2 + x^2 + 3x
2x^3 + 7x^2 + 3x = 252
2x^3 + 7x^2 + 3x - 252 = 0
after solving this
x = 4
So height be 4 in
length be 9 in
ANd, the width be 7 in
Tara is selling a car that costs $12,000. She will make a commission of 10%. What will her
commission be?
Answer:
$1200
Step-by-step explanation:
Please help me with this
Does anyone know how to do this?
Answer: 53
Step-by-step explanation:
Hope this helps!
The measure of an angle is 89º. Find the measure of its supplement
A) 91 degrees
B) 81 degrees
C) 90 degrees
D) 80 degrees
Answer:
The is A) 91
Step-by-step explanation:
Need help 2w+43,if w=9
Answer:
61
Step-by-step explanation:
2w + 43 = ?, w = 9
Substitute w: 2(9) + 43 = ?Multiply: 18 + 43 = ?Add: 18 + 43 = 612. Write a function that models the relationships among x, y, and r. (Hint: Use the Pythagorean theorem.) Then solve the equation for rin terms of x and y. (3 points: 1 point for the correct Pythagorean setup, 1 point for work, 1 point for the solution
The function that models the relationships among x, y, and r is [tex]r=\sqrt{x^2+y^2}[/tex]
What is a function?"It defines a relation between input and output values.""In function, for each input values there is exactly one output."What is right triangle?"It is a triangle having one of the angle measures 90° "
What is hypotenuse?"It is the longest side of the right triangle."
What is Pythagoras theorem?"For a right triangle,
[tex]a^2+b^2=c^2[/tex], where c is the hypotenuse of the right triangle and a, b are other two sides of right triangle."
For given question,
We need to write a function that models the relationships among x, y, and r.
Consider a right triangle ABC.
where AB = x, BC = y and hypotenuse AC = r
Using Pythagoras theorem,
[tex]x^{2} + y^{2} =r^{2}[/tex]
above function defines the relationships among x, y, and r.
Now we solve above equation for 'r',
[tex]\Rightarrow r^2=x^2+y^2\\\\\Rightarrow r=\sqrt{x^2+y^2}[/tex]
Therefore, the function that models the relationships among x, y, and r is [tex]r=\sqrt{x^2+y^2}[/tex]
Learn more about function here:
https://brainly.com/question/12431044
#SPJ2
Answer:
Look below!
Step-by-step explanation:
1. What is the horizontal distance that your bridge must span to clear the ravine? (1 point)
150 feet.
2. Write a function that models the relationships among x, y, and r. (Hint: Use the Pythagorean theorem.) Then solve the equation for r in terms of x and y. (3 points: 1 point for the correct Pythagorean setup, 1 point for work, 1 point for the solution)
Pythagorean theorem—>a^2+b^2=c^2
a and b are the legs, while c is the hypotenuse.
x^2+y^2=r^2
Take the root of both sides
r=√x^2+y^2
9
10
11
12
A rectangular garden is 16 ft
by 30 ft. Victoria wants to
build a fence along the
diagonal of the garden.
How long does the fence
need to be?
13
14
15
16
17
18
30
19
20
16
X
21
22
23
24
Answer:
rectangles opposite sides are equal.
the diagonal of rectangle is hypotenuse of the right angle triangle.
30²+16²=x²
900+256=x²
1156=x²
1156½=x²
34=x
so, the fence need to be 34ft
Howdy!
I am here with a handful of geometry questions today. Please answer the question based off the image(s) below.
If you are not sure of the answer please leave a comment, DO NOT ANSWER THE QUESTION UNLESS YOU KNOW THE ANSWER. Please don't take me points! Thanks for understanding.
Anyways, please show all of your work and explain your thinking! Thanks!
Answer:
Right square pyramid
Volume:
V = 1/3a²h = 1/3*3²√(4² - (3/2)²) = 11.1 ft³Surface area:
A = a² + 2al = 3² + 2*3*4 = 33 ft²Help me
Rearrange this equation that "0" is the subject.
The area of a circle is 25p ft 2 . What is the circumference of the circle? Explain.
Answer:
Circumference of circle = 31.42 ft.
Step-by-step explanation:
Given the following data;
Area of circle = 25π ft²
To find the circumference of the circle;
First of all, we would determine the value of its radius;
Area of circle =πr²
25π = πr²
r² = 25
Taking the square root of both sides, we have;
r = 5 ft.
Now, to find its circumference;
Circumference of circle = 2πr
Circumference of circle = 2π*5
Circumference of circle = 10π ft.
π = 3.142
10π = 10 * 3.142 = 31.42
Circumference of circle = 31.42 ft.
The table shows the pricing for four different types of apples.
Which type costs the least per kilogram?
A $4 for 1.5 kg
B $5 for 2.0 kg
C $7 for 2.5 kg
D $8 for 3.5 kg
You multiply two two-digit numbers and the product is close to 2,600.What two numbers did you multiply?
Step-by-step explanation:
the answer would be 26 and 10 because is you multiply 26×10 your answer will be 2600
Answer:
52 and 50
Step-by-step explanation:
Break it down into smaller numbers in this case 3 numbers.
26 * 10 * 10 = 2600
By multiplicative rule,
we can break 10 into 5 * 2,
giving 26 * 10 * 5 *2,
because multiplication is commutative and associative
group them up as (26 * 2) * (10 * 5) = ( 52 * 50) = 2600
What kind of angels are 1 and 2 ?
Hey!
I am here with a handful of geometry questions today. Please answer the question based off the image(s) below.
If you are not sure of the answer please leave a comment, DO NOT ANSWER THE QUESTION UNLESS YOU KNOW THE ANSWER. Please don't take me points! Thanks for understanding.
Anyways, please show all of your work and explain your thinking! Be sure to answer all 3 and be clear which answer goes to the question. Thanks!
9514 1404 393
Answer:
A) JM = 30
B) x = 11
C) x = 18
Step-by-step explanation:
A) Chords the same distance from the circle center have the same length.
KL = 2×15 = 30 = JM
__
B) Tangents from the same point have the same length.
2x -14 = x -3
x = 11 . . . . . . . . . add 14-x to both sides
__
C) No x is shown. We presume it is the length of the tangent segment. The product of lengths to the near and far circle intercepts is the same for both secants. A tangent is a degenerate secant having both intercepts at the same point.
x² = 12(12 +15) = 324
x = √324
x = 18
solve the system of equations
y=-3/2x+9
2x+2y=16
Answer:
x=2 and y=6
Step-by-step explanation:
four hundred twenty is 3/5 of what number
700 is the answer to your problem
The circumference of the equator of a sphere was measured to be 82 82 cm with a possible error of 0.5 0.5 cm. Use linear approximation to estimate the maximum error in the calculated surface area to 4 decimal places.
Answer:
The maximum error in the calculated surface area is approximately 8.3083 square centimeters.
Step-by-step explanation:
The circumference ([tex]s[/tex]), in centimeters, and the surface area ([tex]A_{s}[/tex]), in square centimeters, of a sphere are represented by following formulas:
[tex]A_{s} = 4\pi\cdot r^{2}[/tex] (1)
[tex]s = 2\pi\cdot r[/tex] (2)
Where [tex]r[/tex] is the radius of the sphere, in centimeters.
By applying (2) in (1), we derive this expression:
[tex]A_{s} = 4\pi\cdot \left(\frac{s}{2\pi} \right)^{2}[/tex]
[tex]A_{s} = \frac{s^{2}}{\pi^{2}}[/tex] (3)
By definition of Total Differential, which is equivalent to definition of Linear Approximation in this case, we determine an expression for the maximum error in the calculated surface area ([tex]\Delta A_{s}[/tex]), in square centimeters:
[tex]\Delta A_{s} = \frac{\partial A_{s}}{\partial s} \cdot \Delta s[/tex]
[tex]\Delta A_{s} = \frac{2\cdot s\cdot \Delta s}{\pi^{2}}[/tex] (4)
Where:
[tex]s[/tex] - Measure circumference, in centimeters.
[tex]\Delta s[/tex] - Possible error in circumference, in centimeters.
If we know that [tex]s = 82\,cm[/tex] and [tex]\Delta s = 0.5\,cm[/tex], then the maximum error is:
[tex]\Delta A_{s} \approx 8.3083\,cm^{2}[/tex]
The maximum error in the calculated surface area is approximately 8.3083 square centimeters.
What day and time will it be 85 hr 33 min after Friday 12:11 am?
Answer:
Enter date and time information at "From:"
Select a month and a day. Enter a year.
The year entered must be a positive number. Not zero (0).
Enter hours and minutes. Select am or pm.
The hours entered must be a positive number between 1 and 12 or zero (0).
The minutes entered must be a positive number between 1 and 59 or zero (0).
Add or Subtract Line
Enter number of days, hours and minutes
Select "add" or "subtract"
If you type "ghblxz", in the year box the computer will print "0"
If you type "1.9e2", the computer will use "190" to calculate the answer.
If you select "February 31", the computer will print "Not a Day"
Click "Click to Calculate" button. The calculated date and time will appear.
NaN = not a number
To clear the entry boxes click "Reset
SOMEONE PLEASE HELP ME ASAP ILL GIVE BRAINLIEST
Answer:
for first one
√8²+4²=24
6²=36 not right angled triangle
so it is obtuse TRAINGLE
Step-by-step explanation:
for second one
it is acute TRAINGLE
please help me please i really need help please
Answer:
d metamorphosis
Step-by-step explanation:
i need help! i’m not sure what’s going on
Answer:one of them is m=3/1 y=3x+10
Step-by-step explanation:i
Given a linear equation in the form y = ax, if a > 0 then the greater the coefficient a
a) the greater the slope of the equation
b) the smaller the slope of the equation
WILL MARK BRAINLIEST
c) the longer the line is
d) the shorter the line is
ques 1 : x + 1 3/8 = 2 1/4
ques 2 : 13.27 = t - 24.45
ques 3 : 9 = 3/8 × y
please answer them due date today thx
Answer: 1. 29/8
2. 37.72
3. 24
Step-by-step explanation:
1. x + 1 3/8 = 2 1/4
x = 21/4 - 13/8
x = 42/8 - 13/8 [set the denominator equal]
x = 29/8
2. 13.27 = t - 24.45
Rewrite the function as t - 24.45 = 13.27
t = 13.27 + 24.45
t = 37.72
3. 9 = 3/8 × y
Rewrite as 3/8 x y = 9
y = 9/ (3/8)
y = 9 x (8/3)
y = 24
Tamara finds the sum of two number cubes rolled at the same time. The chart below shows all possible sums from the 36 possible combinations when rolling two number cubes. How many times should Tamara expect the sum of the two cubes be equal to if she rolls the two number cubes times?
A rectangular painting has an area of 9.52 feet. What are three different ways in which this can happen. Give three unique length and width not using one.
Answer:
2 x 2 x 2.38
2 x 2.1 x 2.26
6 x .31 x 5.118
Factor 70q+60. Write your answer as a product with a whole number greater than 1.
Answer:
10(7q + 6)
Step-by-step explanation:
Find the GCF of 70 and 60: 10Divide each number by 10 (steps shown below)70q ÷ 10 = 7q60 ÷ 10 = 6Re-write the expression with 10: 10(7q + 6)I hope this helps!
Write the following:
a) 16 as a fraction of 152
b) 15 as a fraction of 210
Answer:
[tex]\frac{16}{152}[/tex]
[tex]\frac{15}{210}[/tex]
Step-by-step explanation:
Simplify the expression:
6(h + 6) + 1
Answer:
This is your answer
Answer:
6h + 37
Step-by-step explanation:
=> 6(h + 6) + 1
=> 6h + 36 + 1
=> 6h + 37...ans
HOPE IT HELPS U!!!!Use a ratio box to solve this problem. The road was steep.
Every 100 yards the elevation increased 36 feet. How many
feet did the elevation increase in 1500 yards?
36
Answer:
540 feet
Step-by-step explanation:
[tex]\frac{36}{100} = \frac{x}{1500}[/tex] Cross multipy
100x = 54000
54000/100 = 540
x = 540