Answer:
9.4 cm
Step-by-step explanation:
Given: Box; Length = 6 cm, Width = 8 cm, Surface area = 450 cm²
To Find: Height
Solution:
Divide the volume by the product of the length and width to calculate the height of a rectangular object.
6 × 8 = 48
450 ÷ 48 = 9.4
For this box, the rectangular object has a length of 6 cm, a width of 8 cm, and a volume of 450 cm². The product of 6 and 8 is 48, and 450 divided by 48 results in 9.4.
The height of the object is 9.4cm.
Which statement is not used to prove that ΔFGH is similar to ΔFIJ?
A. Angle F is congruent to itself, due to the reflexive property.
B. Angles FJI and FHG are congruent, due to the corresponding angles postulate.
C. Points F, J, and H are collinear.
D. Segments JI and HG are parallel.
Answer:
C. Points F, J, and H are collinear.
Step-by-step explanation:
Given
See attachment for triangle
Required
Which statement is false
Options A, B and D are true while C is false.
Two points are said to collinear if a straight line can pass through them.
From the attached triangle, we can see that a straight line cannot pass through F, J and H.
Hence, they are not collinear.
Since the statement is false, then it cannot be used as part of the proof.
-7 2/3 + (-5 1/2) + 8 3/4 = ????
Answer:
-52/12 or -4 5/12
Step-by-step explanation:
hope this help there 2 ways
Answer:
-53/12 same as -4 4/12 same as -4,416
Step-by-step explanation:
convierte el numero mixto a una fracción impropia
-23/3 + (-5 1/2) + 8 3/4
cuando se encuentren un + en frente de una expresión dentro de un paréntesis, la expresión se mantiene igual
-23/3 - 5 1/2 + 8 3/4
convierte el numero mixto a una fracción impropia
-23/3 - 5 1/2 + 35/4
convierte el numero mixto a una fracción impropia
-23/3 - 11/2 + 35/4
calcula la suma o resta
-53/12
PLEASE HELP!!!!!!!!!!!!!!!!!!!!!
Answer:
i dont know
Step-by-step explanation:
Find all the zeroes of polynomial 2x4
– 9x3 + 5x2 + 3x – 1 ,if two of its zeroes are 2 + √3 & 2 - √3
9514 1404 393
Answer:
x ∈ {-1/2, 1, 2-√3, 2+√3}
Step-by-step explanation:
The given zeros mean that one of the quadratic factors of the given polynomial is ...
(x -2)^ -3 = x^2 -4x +1
When that is factored out (see first attachment), the remaining quadratic is ...
2x^2 -x -1
This can be factored as ...
= (2x +1)(x -1)
which has roots that make these factors zero: x = -1/2, x = 1.
So, all of the zeros of the given polynomial are ...
-1/2, 1, 2-√3, 2+√3 . . . all zeros
__
A graphing calculator can often point to the zeros of the function quite nicely.
_____
Additional comments
When p is a zero of a polynomial, (x-p) is a factor of it. The given zeros mean that factors are (x-2-√3) and (x-2+√3). The product of these factors is the difference of the squares (x-2)^2 and (√3)^2, so is (x -2)^2 -3.
Using the pattern for the square of a binomial, we see this is ...
(x-2)^2 = x^2 -2·2x +2^2 = x^2 -4x +4
The product of the given factor is then 3 subtracted from this square. The given zeros mean there is a quadratic factor of ...
(x-2-√3)(x-2+√3) = (x-2)^2 -3 = x^2 -4x +4 -3 = x^2 -4x +1
The population of Indiana showed an annual growth rate of 0.6% between 1998
and 1999. The population in 1999 was approximately 273,000,000. Based on this
model, find the population in 2007.
The population of Indiana in 2007 can be estimated by using the annual growth rate of 0.6% between 1998 and 1999 and the population in 1999, which was approximately 286,485,882.
To find the population in 2007, we need to calculate the growth from 1999 to 2007. We can do this by multiplying the population in 1999 by 1 plus the growth rate raised to the power of the number of years between 1999 and 2007.
Let's calculate step by step:
1. Calculate the number of years between 1999 and 2007: 2007 - 1999 = 8 years.
2. Calculate the growth rate per year: 0.6% = 0.006.
3. Calculate the population in 2007: 273,000,000 * (1 + 0.006)^8 = 273,000,000 * 1.048834 = 286,485,882 (approximately).
Therefore, based on this model, the population of Indiana in 2007 would be approximately 286,485,882.
For more similar questions on annual growth rate
brainly.com/question/30798879
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Joanie's curtain company is making curtains for a local hotel. She wants each curtain to be 48 inches long. At the fabric store, fabric is sold by the foot. If Joanie's curtain company wants to make 56 curtains, how many feet of fabric will she need?
1 inch =1/12 foot
Answer: 224 feet
Step-by-step explanation:
Each curtain is 48 inches long, and she wants to make 56 curtains.
However, the fabric store sells by the foot.
There are two ways to do this:
1) You can convert beforehand.
48 inches= 4 feet because 1 inch=1/2 foot.
Multiply 48 by 1/12 to find how many feet are in 48 inches.
= 48/12
=4
So 48 inches= 4 feet
Now, each curtain is 4 feet. There are 56 curtains to be made.
Now multiply by 4 to find how many feet are in 56 curtains.
56x4=224 feet.
Answer= 224 ft
Or: You can convert afterwards
48x56= how many inches in 56 curtains
= 2,688 inches
Then, convert to feet!
1 inch= 1/12 foot
2688 multiplied by 1/12:
=2688/12
=224 feet
Answer= 224 feet
Either way, you both get 224 feet.
5x - y = -7
X + y = -5
Answer:
x = -2
y = -3
Step-by-step explanation:
5x - y = -7
x + y = -5
6x = -12
x = -2
x + y = -5
-2 + y = -5
y = -5 + 2
y = -3
Answer:
(-2,-3)
Step-by-step explanation:
x + y = -5
y = -x - 5
5x - (-x - 5) = -7
5x + x + 5 = -7
6x = -12
x = -2
x + y = -5
-2 + y = -5
y = -3
Barry is saving up to put new tires on truck the tires will cost 860 he has 180 plans to save 68dollars a week how many weeks will it take to save his money
Answer:
167.36 weeks
Step-by-step explanation:
Given: Currently has $180, the cost is $860, and he plans to save $68 a week
To find: How many weeks will it take to save his money
Solution: If Barry currently has $180 and needs $860 for his tires also saves $68 a week, divide the amount he wants to save by the amount he saves a week, to find how many weeks will it take to save his money
860 ÷ 68 = 12.64
Subtract 180 because he already has $180 saved currently
180 - 12.64 = 167.36
Hence, it will take approximately 167 weeks to save his money up to $860
The lengths of the sides of the triangle are 3, 8, and 10. Is the triangle a right triangle, acute triangle, or an obtuse triangle?
Answer:
Obtuse
Step-by-step explanation:
You have to make sure it is a triangle by adding the smallest and the medium sides, if the result is greater than the bigger side then it is a triangle. you then use the Pythagorean theorem to check if the triangle is a right triangle, acute, or obtuse. If [tex]c^{2}[/tex] = [tex]a^{2} +b^{2}[/tex] then it is a right triangle. If [tex]c^{2} >a^{2} + b^{2}[/tex] then it is an obtuse triangle. if [tex]c^{2} < a^{2} +b^{2}[/tex] then it is an acute triangle. [tex]10^{2}[/tex] _ [tex]3^{2} + 8^{2}[/tex] 9+64_100 70_100 70<100in this case [tex]c^{2}[/tex] is greater than [tex]a^{2} +b^{2}[/tex] therefore, is it an obtuse triangle.
Please help (;´༎ຶٹ༎ຶ`)
20mm 10mm 10mm surface area
Help pleas brainliest is insured if correct
Answer:
9 units
Step-by-step explanation:
because if the y-axis is 5 and the x-axis is 9, the line is 9 units.
Marianne can say hello in more than 7
languages. Which number line could
represent this situation?
Answer:
Number line A.
Step-by-step explanation:
The first number line A, represents x > 7, which the unshaded circle starting from 7 and moving to the right.
Number line B represents x < 7 with the direction being to the left (opposite of A).
Number line C is synonymous with A, however the starting point is shaded which represents x ≥ 7
Number line D also follows up from B with D representing x ≤ 7
I NEED HELP!!!Please
Answer:
15.9
Step-by-step explanation:
O/A
Tan47=17/x
x=17/tan 47
A: y = 1.5x
B: x = 1.5 + y
C: x = 1.75y
D: y = 1.75x
NO LINKS TY
25% of 1375???????????????????????
Step-by-step explanation:
hope it is helpful to you
Answer: 343.75
Step-by-step explanation:
There are multiple ways to do this
1) Use decimals
25% is equal to 0.25
To find 25% of 1375, multiply 0.25x1375.
0.25x1375
=343.75
Or you can use fractions!
25%=0.25
0.25=1/4
Divide 1375 by 4
=343.75
25% of 1375 is equal to 343.75
A sphere with diameter of 12 cm is being painted. How much more paint is now needed to paint the sphere that has four times the original diameter.
4 times more paint
B 8 times more paint
16 times more paint
D 64 times more paint
Answer:
64 times more paint will be needed since the volume of the second is 64 times the volume of the first
Step-by-step explanation:
If the original sphere is 12 cm diameter
its radius will be half this measure which is 12/2 = 6 cm
The new diameter is 4 times this, so its radius would be 4 times this and it is 24 cm
Now, the volume of the sphere means we have to raise the power of the radius by 3
The other terms in the formula remains the same for both, so we are simply comparing the radii
so we will have the difference in volume in times of multiples as ;
(24/6)^3 = 4 * 4 * 4 = 64
Which of the equations below shows the relationship in the table?
Answer:
Im Sure its A
Step-by-step explanation:
is this quadrilateral a parallelogram? If yes, state the definition or theorem that justifies your answer.
Answer:
yeah its parallelogram.
quadrilateral whose diagonal bisect each other are parallelogram .
2017 - Q13
13 Tivo identical number cubes are shown in the picture. The edge length of these number cubes
is 3 centimeters.
What is the combined volume of the two number cubes in cubic centimeters?
A 54 cm
B 18 cm
C 9 cm
D 27 cm
Answer:
Combined volume of the two number cubes = 54 cm³
Step-by-step explanation:
Given:
Side of a cube = 3 centimeter
Number of cubes = 2
Find:
Combined volume of the two number cubes
Computation:
If we combine two cube new figure will be a cuboid.
Length of new cuboid = 3 + 3 = 6 cm
Height of new cuboid = 3 cm
Width of new cuboid = 3 cm
Volume of cuboid = (l)(b)(h)
Combined volume of the two number cubes = (6)(3)(3)
Combined volume of the two number cubes = 54 cm³
LENGHT OF ORBIT AND DISTANCE FROM SUN
orbit =365.256days
distance=149.60km
There are 75 energy bars, 35 energy drinks, and 45 bottles of water. Each scout get the same amount of supplies with nine left over, what is the largest possible # of scouts in the troops (LCM)?
Answer:
See explanation
Step-by-step explanation:
A scout troop is going hiking. They have 75 energy bars, 35 energy drinks, and 45 bottles of water. If each scout gets the same amount of supplies with NONE left over, what is the largest possible # of scouts in the troop
Energy bars = 75
Energy drinks = 35
Bottles of water = 45
75 = 1, 3, 5, 15, 25 and 75
45 = 1, 3, 5, 9, 15, and 45
35 = 1, 5, 7 and 35
The highest common factor of 75, 35 and 45 is 5
Therefore, each scout get
Energy bars = 75/5
= 15 each per scout
Energy drink = 35/5
= 5 each per scout
Bottle water = 45/5
= 9 each per scout
somebody helpp and ty
Answer:
45 degrees
Its on the first bar in the 45 degree angle which is half of 90
Select all correct ways of factoring –3x – 9.
Answer:
Some possible expressions, since there's no answer choices provided:
-3(x + 3)
3(-x - 3)
Step-by-step explanation:
Expression 1:
This uses a GCF of -3, since -3x and -9 are divisible by this. Let's divide -3x and -9 by this first:
-3x / -3 = x
-9 / -3 = 3
So now, we can add these terms and multiply them by -3 to get our answer:
-3(x + 3)
And just to check, we can expand it:
-3x + -3(3) = -3x - 9
Expression 2:
This uses a GCF of 3, like the last one but it's negative. -3x and -9 are also divisible by this. Let's divide both terms by this GCF first:
-3x / 3 = -x
-9 / 3 = -3
Now, we can add these terms and multiply them by -3 to get our final answer:
3(-x - 3)
To check, once again:
-3x + 3(-3) = -3x - 9
One of the tallest living trees today is the Mendocino Tree found at
Montgomery Woods State Park, California. Its height is about 11,200
centimeters. What is this height in scientific notation?
Answer:
the height in scientific notation is 1.12 x 10^4 :)
Answer 15 points
( don’t answer if you don’t the answer )
Answer:
V=1/3hπr². Basically, 1/3 x height x 3.14 (pi) x radius squared.
Step-by-step explanation:
The formula of figure 2 would be 1/3 x 15 x 3.14 x 8 squared. The volume of figure 2 would be 1005.30965
the formula for figure 3 would be 1/3 x 15 x 3.14 x 4 squared. The volume of it would be 251.32741
hope this helps! (Also please make me brainliest if this helps u :) )
Find the next three terms in the pattern: 7, 3,-1, -5, -9.... Then, describe the pattem.
Answer:
Next three terms are: - 13, - 17, - 21
Step-by-step explanation:
Evety time it decreases by 4.
Answer:
-13, -17, -21
Step-by-step explanation: keep subtracting 4
A business shipped 106 packages one day. Customers are charged 4.50 for each standard delivery and 7.50 for each express delivery
The question is incomplete:
A business shipped 106 packages one day. Customers are charged 4.50 for each standard delivery and 7.50 for each express delivery. Total shipping charges for the day were $600.00. How many of each kind of package were shipped?
Answer:
The business shipped 65 standard delivery packages and 41 express delivery packages.
Step-by-step explanation:
Since the business shipped 106 packages one day you can say that:
x+y=106, where:
x is the number of standard delivery packages
y is the number of express delivery packages
Also, you can say that the result of multiplying the price per each type of package for its amount and adding those would be equal to the total shipping charges for the day, which is:
4.50x+7.50y=600
So, you have the following equations:
x+y=106 (1)
4.50x+7.50y=600 (2)
Now, you can solve for x in (1):
x=106-y (3)
Then, you can replace (3) in (2) and solve for y:
4.50(106-y)+7.50y=600
477-4.50y+7.50y=600
3y=600-477
3y=123
y=123/3
y=41
Finally, you can replace the value of y in (3) to be able to find the value of x:
x=106-41
x=65
According to this, the answer is that the business shipped 65 standard delivery packages and 41 express delivery packages.
A jogger is running around a 3/4 mile track and is 2/3 of the way around the track. How far has the jogger traveled
Answer:
im literally doing the same exact thing right now
Step-by-step explanation:
Describe, in words, the process you would use to find w.
Answer:
w = 52°
Step-by-step explanation:
We know that the sum of the angle of a triangle is equal to 180 degrees
In this figure,
w+w+76 = 180
As w = w (Vertically opposite angles)
So,
2w = 180-76
2w = 104
w = 52
So, the value of w is equal to 52°.