Answer:
The volume of the smaller solid is 72 cm.
Step-by-step explanation:
Given that two similar solids have surface areas of 48cm and 108cm respectively, to find the volume of the smaller solid if the bigger one has a volume of 162cm the following calculation must be performed:
108 = 162
48 = X
48 x 162/108 = X
7776/108 = X
72 = X
Therefore, the volume of the smaller solid is 72 cm.
HELPP ME PLLSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS
Answer:
d
Step-by-step explanation:
thats just the anwser
how many solutions does each system of equation have?? explain how you know without solving the system
Answer:
no solution
Step-by-step explanation:
the x value in a linear equation in slope intercept form represents the slope of the line, since both equations int the system have the same slope there is no solution.
simplify the expression below using the distributive property:
4x - 2(x + 5)
Answer:
It is 2x-10
Step-by-step explanation:
It is 2x-10 because when you are doing this you want to try to get the x alone but in this case it is not dertinable
To find the roots of the quadratic equation 3x²- 2x+1=0 using the quadratic formula
Answer: This is what i got x=1+i √2/3 not sure if that is what you need but hope it helps
Step-by-step explanation:
Answer:
[tex]x = \frac{ 1 + 1\sqrt{-1}}{3}[/tex] and [tex]x = \frac{ 1 - 1\sqrt{-1}}{3}[/tex]
Step-by-step explanation:
Hello!
The quadratic formula is: [tex]x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex], derive from the standard form of a quadratic: [tex]ax^2 + bx + c[/tex].
The expression 3x² - 2x + 1 is a lot like our standard form:
a = 3b = -2c = 1Let's plug in the values and solve.
Solve the Quadratic Formula:
[tex]x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex][tex]x = \frac{-(-2) \pm \sqrt{(-2)^2 - 4(2)(1)}}{2(3)}[/tex][tex]x = \frac{2 \pm\sqrt{4 - 8}}{6}[/tex][tex]x = \frac{2 \pm \sqrt{-4}}{6}[/tex][tex]x = \frac{2 \pm 2\sqrt{-1}}{6}[/tex][tex]x = \frac{ 1 \pm 1\sqrt{-1}}{3}[/tex]The roots are [tex]x = \frac{ 1 + 1\sqrt{-1}}{3}[/tex] and [tex]x = \frac{ 1 - 1\sqrt{-1}}{3}[/tex]
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In slope intercept y=mx+b if the slope is 3/4 and the -y intercept is -2
Answer:
y = [tex]\frac{3}{4}[/tex] x - 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + b ( m is the slope and b the y- intercept )
Here m = [tex]\frac{3}{4}[/tex] and b = - 2 , then
y = [tex]\frac{3}{4}[/tex] x - 2 ← equation of line
What is the sum of an 8 term geometric series if the first term is -11 and the last term is 859,375 and the common ratio is -5
Answer:716,144
Step-by-step explanation:
Given
No of the terms in GP [tex]n=8[/tex]
First-term [tex]a=-11[/tex]
last term [tex]a_n=859,375\quad (ar^{n-1})[/tex]
Common ratio [tex]r=-5[/tex]
The Sum of a GP is given by
[tex]S_n=\dfrac{a(1-r^n)}{1-r}\quad \quad [r<1][/tex]
Put the values
[tex]\Rightarrow S_n=\dfrac{-11(1-(-5)^8)}{1-(-5)}\\\\\Rightarrow S_n=\dfrac{-11\times -390624}{6}\\\\\Rightarrow S_n=\dfrac{42,96,864}{6}=716,144[/tex]
The interior angle of a regular polygon is 156º. Find the number of sides of the polygon.
Answer:
15
Step-by-step explanation:
n = 15 sides. Therefore ,The polygon with each interior angle 156° has 15 sides.
what expression is equivalent to 3(7x-z+5)
Rectangle ABCD is translated to form the image A'B'C'D'.
What are the new coordinates of point D?
Answer:
i think its (6,4)
Step-by-step explanation:
Math?? anybody somebody please help
100 points worth
Answer:
c
Step-by-step explanation:
2^4=16
(16-8)/16=8/16=1/2
WILL GIVE BRAINLIEST
5. Find the length of arc in red. Leave answer in terms of pi.
A) 25 pi m
B) 27 pi m
C) 29 pi m
D) 31 pi m
The temperature on the moon can vary from -172 to -126 degrees celsius. Find the difference between the maximum and minimum temperatures. Write with explanation PLEASE!!!
Given:
The temperature on the moon can vary from -172 to -126 degrees Celsius.
To find:
The difference between the maximum and minimum temperatures.
Solution:
It is given that the temperature on the moon can vary from -172 to -126 degrees Celsius.
Since [tex]-172 <-126[/tex], therefore the minimum temperature is -172 and the maximum temperature is -126.
The difference between the maximum and minimum temperatures is:
Difference = Maximum temperature - Minimum temperature
[tex]\text{Difference}=-126-(-172)[/tex]
[tex]\text{Difference}=-126+172[/tex]
[tex]\text{Difference}=46[/tex]
Therefore, the difference between the maximum and minimum temperatures is 46 degrees Celsius.
The cost for a business to produce "x" television commercials in 1 year is $225x + $17,000. How many commercials can the company produce in 1 year at a cost of $35,000
We are required to find how many commercials the company can produce in year at a cost of $35,000
The company can produce 80 commercials in year at a cost of $35,000
Given:
C(x) = $225x + $17,000
If C(x) = $35,000
Then,
C(x) = $225x + $17,000
35,000 = 225x + 17,000
subtract 17,000 from both sides
35,000 - 17,000 = 225x
18000 = 225x
divide both sides by 225
x = 18,000 / 225
x = 80
Therefore, the company can produce 80 commercials in year at a cost of $35,000
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Hannah is making biscuits. The recipe calls for 2/3 cup of flour to make 4 biscuits. What is the unit rate for cups of flour per biscuit.
Answer:
2.6
Step-by-step explanation:
2/3 x 4 = 2.6
Write an inequality that represents this situation below. Be sure to define your variable in words.
Jeffery needs to save more than $500 to attend camp over the summer.
Answer: m>500
Step-by-step explanation:
m= money
And he is going to need more than 500 so m must be greater than 500 it cant be greater than or equal too.
What is the volume, in cubic centimeters, of a rectangular prism with a height of 7 centimeters, a width of 6 centimeters, and a length of 14 centimeters?
Answer:
588
Step-by-step explanation:
multiply length x width x height 7×6×14
Step-by-step explanation:
multiply 7,6,14
=588
therefore the answer in cubic centimeters is= 588
Using transformations, graph the following function and its inverse
f(x) = 2x+1 +5
Answer:
yes that correct
Step-by-step explanation:
The price of a video game was reduced from $60 to $45. By what percentage was the price of the Vedic games reduced.
Answer:
[tex]33.3\%[/tex]
Step-by-step explanation:
Given: price of a video game was reduced from [tex]\$60[/tex] to [tex]\$45[/tex]
To find: percentage decrease in the price of the Vedic games
Solution:
Old price of the game [tex]=\$60[/tex]
New price of the game [tex]=\$45[/tex]
Decrease in the price of the Vedic games [tex]=\$60-\$45=\$15[/tex]
Percentage decrease in the price of the Vedic games = (Decrease in the price of the Vedic games × 100) ÷ New price of the game
[tex]=\frac{15(100)}{45} =\frac{100}{3}\%=33.3\%[/tex]
Solve cos(theta)>sqrt3/2 for 0
Step-by-step explanation:
If you put some quantities for theta, you reach to B option
Expand.
Your answer should be a polynomial in standard form.
(7g+2)(5g+4)=
Answer:
35g^2 +38g +8
Step-by-step explanation:
12. Zachary Tylar 72% commission? earns commission on sales of $4,255. What is his commission
Answer:
$3063.6
Step-by-step explanation:
72% of $4,255 = $3063.6
The formula for finding percents is number x percent ÷ 100.
4,255 x 72 ÷ 100 = 3063.6
Point A lies on a number line at 6. Point C lies between points B and A at 1.875. The ratio AC : AB = 3 : 5. What is the length of A B?
A. AB = 15 units
B. AB = 8.75 units
C. AB = 6.875 units
D. AB = 11 units
Plz Answer ASAP! Thank you!
Answer: C, 6.875 is the correct answer
Step-by-step explanation:
AC = 6 - 1.875 = 4.125
AB = 5/3 * 4.125 = 6.875
The measure of AB is 6.875. Therefore, option C is the correct answer.
Given that, the ratio AC: AB = 3: 5.
What is the ratio?In mathematics, a ratio indicates how many times one number contains another.
AC = 6 - 1.875 = 4.125
AB = 5/3 * 4.125 = 6.875
Therefore, option C is the correct answer.
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2r + 8 - r = -7
Combine like terms
Answer: -15
Step-by-step explanation: 2r+8-r=-7
1r +8 = -7
1/1 -15/1
Answer: r = -15
Step-by-step explanation:
2r - r = -7 -8
r = -15
Find the missing angle measures.
What is m∠1?
a. 50
b. 105
c. 100
d. 60
Answer: C
Step-by-step explanation:
we know that the third angle of the triangle with 50 and 50 degrees is 80 because a triangle has 180 degrees. we also know that 80 + the measure of angle 1 = 180 and 80 + 100=180
Which of the following pair of sets is an example of disjoint sets?
X={rational numbers} and Y={whole numbers}
P={multiples of 2} and Q={multiples of 3}
G={multiples of 5} and H={multiples of 10}
E={even numbers} and F={odd numbers}
We want to see which pair of sets is disjoint, this is, see which pair of sets does not share any element.
The correct option is: E = {even numbers} and F = {odd numbers}
So we only need to see which one is the pair of sets that does not share any element, so we can analyze the given options and see if we can find a number that belongs to both sets.
1) X = {rational numbers} and Y = {whole numbers}
Any whole number is also a rational number, for example:
2 = 4/2
So we can write the number 2 as a quotient of two integers, then we can see that these sets share elements.
2) P={multiples of 2} and Q={multiples of 3}
The number 6 is a multiple of both 2 and 3, thus the number 6 belongs to bot sets, then the sets are not disjoint.
3) G={multiples of 5} and H={multiples of 10}
10 is a multiple of 10 and 5, so the number 10 belongs to both sets, thus the sets are not disjoint.
4) E={even numbers} and F={odd numbers}
We define the even numbers as the ones divisible by 2, while the odd numbers are those that are not divisible by 2. Then by definition, there is no even number that is also odd.
Then we can see that these two sets are disjoints, and this is the correct option.
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A brick wall is to form one side of a rectangular garden and three other sides me to be done by 40
feet of fencing Find the largest area the garden can have.
Answer:
80 probaly
Step-by-step explanation:
I need help with this i don’t understand this
Answer:
13.<CAF = 145
14.<ABC = 50
15.<KCJ = 95
16.<ABG = 130
17.<BCJ = 85
18.<CAB = 35
19.<x =60
20.<y =120
21.<z = 133
22.<w = 47
23.<m = 128
24.<p = 52
Step-by-step explanation:
It just looking at the vertically opposite angle to find the exact angle.
Ex. <CAF = <BAD
Write the number in 2 equivalent forms as a fraction, decimal, or percent.
5/8
What is the equivalent decimal?
Answer:
0.625 62.5%
Step-by-step explanation:
Answer:
Step-by-step explanation:
Dividing 5 by 8 on a calculator results in the "equivalent decimal:"
5/8 = 0.625
0.625 converts to 62.5%: a percent
5/8 is a proper fraction
please help me out! :)
Answer:
a) A(8,-3), B(4,-3), C(2,5)
b) not sure sry
Find the area of each sector. Round your answer to nearest tenth
Answer:
area of 150° segment = 188.5 km²
Step-by-step explanation:
area of full circle = πr² = (3.14)(12²) = 452.16 km²
area of segment = (150°/360°)(452.16) = 188.5 km²
the area of each sector is C