Answer:
B. False
Step-by-step explanation:
We are given the statement,
'The shapes of the horizontal cross-sections of the cone are all congruent'.
Now, if we cut the cone horizontally, the cross-sectional shape is a 'circle'.
Further, the radius of the circle vary depending on the position form where the cone is cut i.e.
If cut from the top, the circle is approximately equal to a point.
If cut from the middle, the radius of the circle is less than the radius of the cone.
If cut from the bottom, the radius of the circle is equal to the radius of the cone.
Now, 'two figures are congruent if they overlap each other'.
Since, the circles have different radius, they will not overlap each other.
Thus, all the cross-sections of the cone would not be congruent.
Hence, the given statement is false.
Step-by-step explanation:
The solution is, the given statement is B. False.
What is a cross-section of any shape?A cross-section is a shape formed by cutting a solid (such as a cone, cylinder, or sphere) with a plane. If a cylinder-shaped object is cut by a plane parallel to its base, the resulting cross-section is a circle. As a result, the object intersected.
here, we have,
We are given the statement,
'The shapes of the horizontal cross-sections of the cone are all congruent'.
Now, if we cut the cone horizontally, the cross-sectional shape is a 'circle'.
Further, the radius of the circle vary depending on the position form where the cone is cut i.e.
If cut from the top, the circle is approximately equal to a point.
If cut from the middle, the radius of the circle is less than the radius of the cone.
If cut from the bottom, the radius of the circle is equal to the radius of the cone.
Now, 'two figures are congruent if they overlap each other'.
Since, the circles have different radius, they will not overlap each other.
Thus, all the cross-sections of the cone would not be congruent.
Hence, the given statement is false.
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Solve the system of linear equations by elimination. 11x−20y=28 , 3x+4y=36
An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
The value of x is 8.
The value of y is 3.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 4 = 7 is an equation.
We have,
11x - 20y = 28 ____(1)
3x + 4y = 36 _____(2)
Now,
Multiply 5 on (2).
11x - 20y = 28
15x + 20y = 180
26x = 208
This means,
x = 208/26
x = 8
Now,
11x - 20y = 28
11 x 8 - 20y = 28
88 - 20y = 28
88 - 28 = 20y
y = 60/20
y = 3
Thus,
The value of x is 8.
The value of y is 3.
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What is the solution to this equation?
x - 15 = 8
O A. x= -7
O B. x = 7
O c. x= -23
O D. x = 23
Answer:
D
Step-by-step explanation:
Solve by completing the square.
x2 + 6x – 22 = 0
PLEASE HELP!!
i hate math and i am terrible at it so i need help
Answer:
b,c,d
Step-by-step explanation:
Answer:
D and B i'm pretty sure
Step-by-step explanation:
i would try a place called calculator soup really helps.
What are the outputs of the function below?
x
–1
0
7
10
g(x)
6
2
–3
4
–1, 0, –3, 4
–1, 0, 7, 10
6, 2, –3, 4
6, 2, 7, 10
Answer:
C
Step-by-step explanation:
just took the quiz
A function assigns the value of each element of one set to the other specific element of another set. The output of the function is 6, 2, –3, 4.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
The output of the given function in the value of the dependent variable, in the given case, x is the independent variable and upon this independent variable the value of the function will be dependent, therefore, the function will be the output of the function.
Thus, the values in the table that are under g(x) are the range or the output of the function.
Hence, the output of the function is 6, 2, –3, 4.
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What is the radical form of the expression? 2 4/5 Enter your answer in the box.
Answer:
Step-by-step explanation:
Steve drove 270 miles, leaving home at 8:00 a.m. and arriving at his destination at 4:00 p.m. Of this time, he spent 45 minutes eating lunch and 1 hour 15 minutes visiting a museum. What was Steve’s average driving speed for this trip?
Answer:
Step-by-step explanation:
Driving time = 6 hours
(270 miles)/(6 hours) = 45 miles/hour
Determine if the sequence below is arithmetic or geometric and determine the common difference / ratio in simplest form.
32,8,2,...
Can somebody please help me
Find the slope of the line that contains (2, -10) and (-4, 2)
Answer:
slope=(2--10)/(-4-2)=12/-6=-2
The required slope of the line is -2.
Given that,
To find the slope of the line that contains (2, -10) and (-4, 2).
The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.
What is simplification?
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
The slope of any line is given as if two points are given,
m = [y₂ - y₁] / [x₂ - x₁]
the slope of the line that contains (2, -10) and (-4, 2)
m = [2 + 10 ] / -4 - 2
m = 12 / -6
m = -2
Thus, the required slope of the line is -2.
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3x + 25 = 2(4x – 10) solve step by step
Answer:
x=9
Step-by-step explanation:
3x + 25 = 2(4x – 10)
3x + 25 = 8x-20
3x-8x=-20-25
-5x=-45
5x=45
x=9
If you would like to make $586 in 6 years, how much would you have to deposit in an account that pays simple interest of 3%?
Round all answers to 2 decimal places.
Answer:
$3255.56
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 3%/100 = 0.03 per year,
then, solving our equation
P = 586 / ( 0.03 × 6 ) = 3255.5555555556
P = $ 3,255.56
The principal required to
accumulate interest of $ 586.00
on a rate of 3% per year for 6 years is $ 3,255.56.
-1 2/3 divided by (-2 1/5)
Answer:0.75757575757
Answer:
Fraction Form
25/33
Decimal Form
0.75
Step-by-step explanation:
First, convert the mixed fraction into an improper fraction, so it would look like:
-5/3 / (-11/5)
Next, divide. Remember, when multiplying fractions all you do is flip the one in parantheses and make both of them positive, so it would look like:
5/3 x 5/11
Finally, multiply so you do the two top numbers which is 5 x 5= 25 and the two bottom numbers so 11 x 3 is 33. Then your final answer is 25/33
Is this triangle equilateral? yes
There is no Triangle
please help me with this question!
Answer:
It is perpendicular
Step-by-step explanation:
Eliza's birthday is on February 29th. If she celebrated her 7th birthday in 2016, how old is she and what year was she born?
Answer:
She is 11, turning 12. She was born in 2009.
Step-by-step explanation:
62.5% as a decimal and as a fraction. PLEASE SHOW WORK.
Answer:
62.5 as a decimal would be 0.625
As a fraction it would be 625/1000.
Step-by-step explanation:
To write 0.625 as a fraction you have to write 0.625 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.
0.625 = 0.625/1 = 6.25/10 = 62.5/100 = 625/1000
And finally we have:
0.625 as a fraction equals 625/1000
Answer:
decimal
⇒[tex]\frac{62.5}{100}[/tex]
⇒62.5÷100
⇒62.5
fraction
⇒[tex]\frac{62.5}{100}[/tex]
Step-by-step explanation:
1.45833333333 as a fraction
Answer:
¹⁴⁵⁸³³³³³³³³⁄₁₀₀₀₀₀₀₀₀₀₀₀
Step-by-step explanation:
lol
11) -104 = 8x
12) 14b=-56
13) -6 = b/18
14) 10n = 40
Answer:
11) -104÷8=x
-13=x
x=-13
12) b=-56÷14
b=-4
13) -6×18=b
b=-108
14) n=40÷10
n=4
divide £720 in the ratio 5 : 7
5+7=12
£720÷12= 60
5:7
5×60=300
7×60=420
300:420
I need help :,) but I really don’t even know-
Answer:
8 yards. Trust me. I love mental math.
Step-by-step explanation:
Mr. Kowolski ordered 35 boxes of granola bars. Eoch box contained 24 granola bors.
What is the total number of granola bars Mr. Kowolski ordered?
Answer:
The total amount of granola bars ordered were 840 granola bars.
Step-by-step explanation:
Multiply 35 by 24.
If Mr. Kowolski ordered 35 boxes of granola bars and Eoch box contained 24 granola bors then 840 is the total number of granola bars Mr. Kowolski ordered.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given that Mr. Kowolski ordered 35 boxes of granola bars.
Each box contained 24 granola bors.
We need to find the total number of granola bars Mr. Kowolski ordered.
To find this we have to multiply thirty five with twenty four.
Multiplication is a method of finding the product of two or more numbers
35×24
We get eight hundred forty
840
Hence, 840 is the total number of granola bars Mr. Kowolski ordered.
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x2-36
10.) Reduce the ratio, x2 +4x-12
|
I
Step-by-step explanation:
Simplify 15 − 10 x 8 x 3 − 12 x 2 \dfrac{15- 10x}{8x^3-12x^2} 8x3−12x215−10xstart fraction, 15, minus, 10, x, divided by, 8,
I need help with this plzz
Answer:
5/2
Step-by-step explanation:
the solution to a system of equations is (6, -3) choose two equations that might make up the system.
Answer:
y=x-9
y=2x-15
Step-by-step explanation:
To solve this we can just pick a random number for our slope and solve for the y intercept
For example lets say the slope is 1
we know that wehn x=6 y= -3 so we have the following equation
-3= 6+b
B is -9
which means one equation is
y=x-9
We can just repeat this same process
Let's say the slope is 2
-3 = 2*6+b
-3= 12
b= -15
which means taht
y=2x-15
HELP PLEASE-
I would really appreciate it
Answer:
61.25
Step-by-step explanation:
7x 3.5 x 1/2= triangle
12.25 x 4 =49
3.5 x 3.5 = 12.25
12.25+49 = 61.25
The model is shaded to represent the amount, in liters, of lemonade in a pitcher. If Sarah drinks 0.4 liter of the lemonade, how much will be left?
Answer:
0.6
Step-by-step explanation:
Michael writes down 4 different factors of 60
He adds the 4 factors together.
He gets a number greater than 20 but less than 35
What 4 factors could Michael have written down?
Input note: write them from smallest to biggest, separated with commas, i.e. 1, 2, 3, 4
Answer:
34+(-12) =22
Step-by-step explanation:
because they said that adding numbers but they didn't said that negative Or positive. so i took those numbers
Y=2/3x-1
2x-3y=31
HELPPP
Answer:
No answer
Step-by-step explanation:
The two equations are : Y = 2/3x-1 and Y = 2/3x -31. There is no answer.
1. Solve for the value of x
Answer:
x = 18Explanation:
Line E B C Needs To Equal 180°Create An Equation3x + 5 + 3x + 4 + 3x + 9 = 180
Simplify Both Sides Of The Equation(3x + 3x + 3x) + (5 + 4 + 9) = 180( Combine Like Terms)
9x + 18 = 180
9x + 18 = 180
Subtract 18 From Both Sides9x + 18 − 18 = 180 − 18
9x = 162
Divide Both Sides By 9
9x / 9 = 162 / 9
x = 18