Answer:
D. 6 feet.
Step-by-step explanation:
The third longest side of ABCD is 12 feet long and the third longest side of EFGH is 18 feet long.
As they are similar the corresponding sides are in the same ratio so
12/18 = x/9 where x is the 4th side of ABCD.
2/3 = x/9
3x = 18
x = 6 feet.
Find the surface area of the following triangular prism. surface area=_________ ft²
312 ft²
Step-by-step explanation:3 rectangles
2 triangles
4 yd = 12 ft
A = 4ft×12ft + 8ft×12ft + 10ft×12ft + 2×6ft×8ft/2
= 48ft² + 96ft² + 120ft² + 48ft²
= 312 ft²
Answer:
336
Step-by-step explanation:
Got it right
You are welcome :)
Find the midpoint of the line segment joining the points R(3,3) and S(-5,5).
Answer:
(-1,4)
Step-by-step explanation:
Jose just removed the children's playset from his back yard to make room for a rectangular garden. He wants to put a fence around the garden to keep out the dog. He has a 90 foot roll of fence in his garage that he plans to use. To fit in the backyard, the width of the garden must be 15 feet. How long can he make the other side, in feet, if he wants to use the entire roll of fence?
===================================================
Explanation:
He has 90 feet of fencing overall. This is the perimeter of the rectangle as its the distance around all four sides.
Two of the opposite sides are the width = 15 ft. So we have 15+15 = 30 feet taken up and 90-30 = 60 feet left for the other two opposite sides to add to. Call each of those sides x
x+x = 60
2x = 60
x = 60/2
x = 30
The other side must be 30 feet long.
This rectangle is 30 by 15
perimeter = 30+15+30+15 = 45 + 45 = 90
which helps confirm we have the right answer
---------------
Or you can solve this way
P = 2*(L+W) is the perimeter of a rectangle with length L and width W
Plug in the perimeter P = 90 and the width W = 15. Solve for L
P = 2*(L+W)
90 = 2*(L+15)
2(L+15) = 90
L+15 = 90/2
L+15 = 45
L = 45-15
L = 30
A collection of points along a straight path that
extends endlessly in both directions is called a
In geometry, a line is completely straight and stretches in both directions infinitely. In contrast, a line segment is a line that doesn't go on forever but rather has a fixed set length. A line segment has two endpoints. A ray has only one endpoint and the other side extends forever.
All of the following should be included in the results section of a t test except:
a. dependent measure.
b. levene confidence intervals.
c. effect size.
d. homogeneity of variance test.
Answer:
Levene confidence intervals ( b )
Step-by-step explanation:
T- test should include all of the following in the results section except the Levene confidence intervals.The confidence intervals may be constructed for various power values using the binomial distribution.
The dependent measure , the size and the Homogeneity of variance test are all included in the results section of a t-test
Find the indefinite integral and check the result by differentiation. (Use C for the constant of integration.)
∫ (x + 8x) dx
Answer:
[tex]y = \frac{9x^2}{2} + c[/tex]
Step-by-step explanation:
Given
[tex]\int\limits^ _[/tex][tex](x + 8x) dx[/tex]
Required
(a) Integrate
(b) Check using differentiation
To integrate, we make use of the following formula;
if
[tex]\frac{dy}{dx} = \int\limits^{} _{} ax^n[/tex]
then
[tex]y = \frac{ax^{n+1}}{n+1}[/tex]
So; [tex]\int\limits^ _[/tex][tex](x + 8x) dx[/tex] becomes
[tex]y = \frac{x^{1+1}}{1+1} + \frac{8x^{1+1}}{1+1} + c[/tex]
[tex]y = \frac{x^{2}}{2} + \frac{8x^{2}}{2} + c[/tex]
[tex]y = \frac{x^{2}}{2} + 4x^2 + c[/tex]
Take LCM
[tex]y = \frac{x^{2} + 8x^2}{2} + c[/tex]
[tex]y = \frac{9x^2}{2} + c[/tex]
To check using differentiation, we make use of
if [tex]y = ax^n[/tex], then
[tex]\frac{dy}{dx} = nax^{n-1}[/tex]
Using this formula
[tex]y = \frac{9x^2}{2} + c[/tex] becomes
[tex]\frac{dy}{dx} = 2 * \frac{9x^{2-1}}{2}[/tex]
[tex]\frac{dy}{dx} = 2 * \frac{9x}{2}[/tex]
[tex]\frac{dy}{dx} =9x[/tex]
[tex]9x = x + 8x[/tex]
So;
[tex]\frac{dy}{dx} = x + 8x[/tex]
There are 5 different pairs of gloves, where left and right are distinguishable. Select 4 of the 10 gloves. (a) How many are there to select 2 pairs of gloves? (b) How many ways are there to select 4 gloves out of the 10 such that 2 of the 4 make a pair. (a pair consists of any right glove and left glove.)
Answer:
(a) How many are there to select 2 pairs of gloves?
10 ways
(b) How many ways are there to select 4 gloves out of the 10 such that 2 of the 4 make a pair. (a pair consists of any right glove and left glove.)
130 ways
Step-by-step explanation:
For the above questions we apply that combination formula
(a) How many are there to select 2 pairs of gloves?
There are 5 pairs of gloves according to the question above, hence:
5C2 = 5!/2! × (5 - 2)!
= 5!/2! × 3!
= 5 × 4 × 3 × 2 × 1/2 × 1 × 3 × 2 × 1
= 10 ways.
Therefore, there are 10 ways to select 2 pairs of gloves
(b) How many ways are there to select 4 gloves out of the 10 such that 2 of the 4 make a pair. (a pair consists of any right glove and left glove.)
i) A way to select 4 gloves out of 10 gloves =
10C4 = 10!/4! ×(10 - 4)!
= 10!/ 4! × 6!
= 210 ways
ii) In order for 2 of the 4 gloves selected to be a pair, note that we have 5 pairs of gloves hence:
5 × 2⁴
= 80 ways.
Therefore, the number of ways which we can select 4 gloves out of the 10 such that 2 of the 4 make a pair. (a pair consists of any right glove and left glove.) = 210 ways - 80 ways
= 130 ways
Mick earns $45,000 a year. This year, he had $2,700 of state taxes returned to him.
What percent of his income did he have returned to him?
Answer:9
Step-by-step explanation:
Use polnt-slope form to write the following equation of the line passing through the point (7,-5) with the slope m=1
Answer:
Step-by-step explanation:
y + 5 = 1(x - 7)
y + 5 = x - 7
y = x - 12
If justin has 90 tacos and loses 15 how many does he have
Answer:75
Step-by-step explanation:
90-15=75
Answer:
He has 75 tacos left.
90 - 15 = 75.
A music service chargers a $2.99 monthly membership fee plus $0.05 for each song purchased. If Naomi charges for the month was $10.89 how much songs did she purchase
Answer:
158
Step-by-step explanation:
10.89-2.99 = 7.90
.5/7.90=158
Answer:
158 songs
Step-by-step explanation:
Monthly membership = 2.99
Each song cost = .05
Total Amount spent after 1 month = 10.89
S = Songs purchased
=> 2.99 + .05S = 10.89
=> 2.99 - 2.99 + .05S = 10.89 - 2.99
=> .05S = 7.9
=> .05S / .05 = 7.9 / .05
=> S = 158
So, she purchased 158 songs that month.
I know that the answer isn't x=0. Please help.
(2x+8)/6=1/3(x+4)
3(2x+8)=6(x+4)
6x+24=6x+24.
0=0.
∴There are no real solutions.
If the area of the base of a cube is 100m, whats the volume
Answer:
1000 m³
Step-by-step explanation:
The base of a cube is just a square.
The area of a square is [tex]l^2[/tex], where l is the length.
Since we know the area of the base (the square) we can find l easily.
[tex]l^2 = 100\\\\l = \sqrt{100}\\\\l=10[/tex]
Now that we know the length of the sides, we have to take note that a cube has side lengths that are all congruent.
This means the height of the cube is also 10m.
Since the volume of a cube is represented as [tex]l^3[/tex], where l is the length, we can substitute 10 in as [tex]l[/tex] to find it's total volume.
[tex]10^3 = 1000[/tex]
So the volume of this cube is 1000 m³.
Hope this helped!
The smallest 4-digit number with different digits is ---------. (Don’t use same digit)
Answer:
The smallest 4-digit number with different digits is 1023.Put in standard form 7xy+8x+5xyz+5x^5
Answer:
[tex]5x^5+5xyz+7xy+8x[/tex]
Step-by-step explanation:
When putting an equation in standard form, you always prioritize the term with the most variables - unless terms have a greater exponent.
The prioritization order is:
Exponents
Amount of variables
Value of coefficient
So, [tex]5x^5[/tex] is the only term with an exponent in this expression, so it will go first.
Next up, we have to choose between [tex]8x[/tex], [tex]5xyz[/tex], and [tex]7xy[/tex]. We know that [tex]5xyz[/tex] has more variables than the other ones, so it goes next.
Now we're left with [tex]7xy[/tex] and [tex]8x[/tex]. [tex]7xy[/tex] has more variables than [tex]8x[/tex], so it goes next.
This leaves [tex]8x[/tex] last.
So, the expression becomes [tex]5x^5+5xyz+7xy+8x[/tex].
Hope this helped!
Sixteen boxes that are each 1 5/8 feet high are stacked. Find the height of the stack
Which number is the solution of the inequality 8-1/4b> 27
Answer:
B < -76
Step-by-step explanation:
You start out with writing out the equation
8-1/4b> 27
Then, you subtract 8 from each side, so the -1/4b can be by itself
-1/4b>27-8
-1/4b>19
After that, you want to get rid of that -1/4, so you multiply both sides by -4
This makes the > sign flip to <
So, this makes:
b < -76
Find the HCF of the following numbers using continued division
method:
a. 255,238
b. 1155,462
c. 47,61
d. 115,138
e. 18,45 and 72
Answer:
a. 17
b. 231
c. 1
d. 23
e. 9
simplify 4/9 to the second power
Answer:
(2/3)^2
Step-by-step explanation:
A simplification of the expression 4/9 to the second power is [tex](\frac{2}{3} )^2[/tex]
What is an exponent?In Mathematics and Geometry, an exponent is a mathematical operation that is commonly used in conjunction with an expression, so as to raise a given quantity to the power of another.
Mathematically, an exponent can be modeled by this mathematical expression;
[tex]b^n[/tex]
Where:
the variables b and n are numerical values, letters, or an expression.
n is known as a power.
By applying the law of indices for powers (division) to the given equation, we would have the following simplified expression:
[tex]\frac{4}{9} =\frac{2^2}{3^2} \\\\\frac{4}{9} =(\frac{2}{3} )^2[/tex]
Read more on exponent here: brainly.com/question/27858496
#SPJ6
Assuming that it takes 1.25 seconds for light to travel from the Moon to the Earth, how
many miles away is the Moon?
Answer:
238,900 miles away
Answer:
238,900
Step-by-step explanation:
Light travels at a speed of 186,282 miles per second, you multiply this number by 1.25 you get your answer.
What is greater than 1.45? A. 0.009 B. 0.019 C. 0.0032 D. 0.0177
No option is greater than the value of 1.45.
What are decimal numbers?The accepted method for representing both integer and non-integer numbers is the decimal numeral system. It is the expansion of the Hindu-Arabic numeral system to non-integer values.
Decimal notation is the term used to describe the method of representing numbers in the decimal system.
A number is a numerical unit of measurement and labeling in mathematics. The natural numbers 1, 2, 3, 4, and so on are the first examples.
The given number is 1.45. The given options are:-
A. 0.009
B. 0.019
C. 0.0032
D. 0.0177
All the options are less than the value of 1.45. Therefore, No option is greater than the value of 1.45.
To know more about decimal numbers follow
brainly.com/question/1827193
#SPJ2
Find sin(2A) if sin(A)=[tex]\frac{1}{4}[/tex] and [tex]0\leq A\leq \frac{\pi }{2}[/tex]
Step-by-step explanation:
sin(2A)
Use double angle formula:
= 2 sin(A) cos(A)
Use Pythagorean identity. 0 ≤ A ≤ π/2, so cos(A) > 0.
= 2 sin(A) √(1 − sin²(A))
Substitute and simplify.
= 2 (¼) √(1 − (¼)²)
= ½ √(¹⁵/₁₆)
= ⅛ √15
Which number has the greatest absolute value?
A) 0
B) −18
C) −31
D) −44
Answer:
D
Step-by-step explanation:
If the number is positive, the absolute value is the same as the number. If the number is negative, the absolute value is just a positive version of that number. So the absolute value of 0 is 0, -18 is 18, -31 is 31, and -44 is 44. Out if these, D has the greatest absolute value, so it would be D
Answer:
D. -44.
Step-by-step explanation:
Absolute value of -44:
= |-44| = 44
Suppose that you are a teacher with a total of 100 students 10 among them come from a disadvantaged and their average in year 1 is 80/100. All of the other students are not considered disadvantaged and have an average of 90/100. What is the overall average for your students in year 1?
Answer:
89/100
Step-by-step explanation:
The average weighted by the number of students is ...
(90(0.90) +10(0.80))/100 = (81 +8)/100 = 89/100
HELP! WILL GIVE BRAINLIESY.
Answer:
$1 for one tube
Step-by-step explanation:
Ratio is 10:10
if you keep on reducing it
you will eventually get to 1:1
Therefore, the answer is $1 for one tube
Point B is the midpoint of Line segment A C .
Answer:
Angle ABC is bisected by BD
BC =Half AC
2 mangle DBC =mangle ABC
Need help asap!! close to running out of time to turn this in!
-7b=-56 pls answer with the work and steps
Answer:
b=8
Step-by-step explanation:
Solution steps:
-7b=-56
b=-56 / -57
b=8
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{ b = 8}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{ - 7b = - 56}[/tex]
divide both sides of the equation by -7
[tex] \sf{ \dashrightarrow\frac{ - 7b}{ - 7} = \frac{ - 56}{ - 7} }[/tex]
Calculate
[tex] \dashrightarrow \sf{b = 8}[/tex]
Hope I helped!
Best regards! :D
How many integers satisfy the inequality 0<|x|<5
Answer:
4
Step-by-step explanation:
0</x/<5
0</1, 2, 3, 4/>5
(1,2,3,4) there are 4 numbers that are greater than 0 and less than 5.
Answer:
8
Step-by-step explanation:
All possible answers are 1,2,3,4,-1,-2,-3, and -4. Since we are using the absolute value here, the opposites of the positive values are also included.
ASAP!!! ASAP!!!
What is the volume of the rock???
Answer:
10 cm³
Step-by-step explanation:
According to Archimedes, if we place an object in water, the rise of the water in mL will be the volume of the object in cm³.
Without the rock, the water measures 20 mL.
With the rock, the water measures 30 mL.
The change here is [tex]30-20=10[/tex], so 10 cm³ is the volume of the rock.
Hope this helped!