Answer:
The volume of the cylinder without the prism is approximately 16.690 cubic centimeters.
Step-by-step explanation:
The volume of the cylinder without the prism can be defined as the volume of the entire cylinder ([tex]V_{cy}[/tex]), measured in cubic centimeters, minus the volume of the prism ([tex]V_{pr}[/tex]), measured in cubic centimeters. That is:
[tex]V = V_{cy}-V_{pr }[/tex] (1)
[tex]V = \frac{\pi}{4}\cdot D^{2}\cdot h - l^{2}\cdot h[/tex]
[tex]V = \left(\frac{\pi}{4}\cdot D^{2}-l^{2} \right)\cdot h[/tex] (2)
Where:
[tex]D[/tex] - Diameter of the cylinder, measured in centimeters.
[tex]l[/tex] - Side of the square prism, measured in centimeters.
[tex]h[/tex] - Height of the square prism, measured in centimeters.
If we know that [tex]D = 2\,cm[/tex], [tex]l = 0.6\,cm[/tex] and [tex]h = 6\,cm[/tex], then the volume of the cylinder without the prism is:
[tex]V = \left[\frac{\pi}{4}\cdot (2\,cm)^{2}-(0.6\,cm)^{2} \right]\cdot (6\,cm)[/tex]
[tex]V \approx 16.690\,cm^{3}[/tex]
The volume of the cylinder without the prism is approximately 16.690 cubic centimeters.
Luke goes to summer camp with $45 in spending money. The amount of money he has left after n days at camp is modeled by the recursive function f(n) = f(n-1)-7. Modify the explicit function, and simplify it to slope-intercept form.
Answer:
Please mark as Brainliest :)
Step-by-step explanation:
Answer:
Sample Answer
Step-by-step explanation:
Which graph represents the function r(x) = |x – 2| - 1
Answer:you diddnt attach a graph but it woul have a stating pooint of positive 3 and a slove of up one over 1 so 1/1 +3
Step-by-step explanation:
confused with preimeter
To find the perimeter of a shape, you need to add up the measurements of all the sides to find it. I hope this helps. Let me know if you need some help with some perimeter problems :)
Analyze the diagram below and complete the instructions that follow.
X
459
3
45°
Find the value of x.
A V3
B. 3V2
2
2
Answer:
B.y-Step-bstep explanation:
ok so
the triangle has 3 angle
45-45-90
one 45 points to x
that means the other side is also x
the 90 degrees points to 3
3=x√2
x=2.12132
The value of x in the given diagram is 3√2, Option C is correct.
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
The given triangle has 45-45-90 degrees.
We have to find the value of x in the given triangle.
The cosine function is ratio of the adjacent side by hypotenuse.
cos 45= 3/x
The value of cos 45 degrees is one divided by root 2.
1/√2 =3/x
Now apply the cross multiplication
x=3√2
Hence, the value of x in the given diagram is 3√2, Option C is correct.
To learn more on trigonometry click:
https://brainly.com/question/25122835
#SPJ7
Bill is looking for a job as a gym teacher. he plans to send resumes to 130 schools in his state. Kinko's charges $30 per 100 copies and sells them only in sets of 100.
a. How many copies will bill have to purchase if he is to have enough resumes?
b. how much will the copies cost bill, including the 6% sales tax?
Jamie puts an initial $900 into a savings account. The account has a 7% annual compound interest rate. What is the function that best represents Jamie's account and how much does he have in savings after 5 years? Round your answer to the nearest dollar.
Hint: Use the formula, f(x) = P(1 + r)x
A. f(x) = 900(1.7)x, $1,081
B. f(x) = 900(1.07)x, $1,262
C. f(x) = 900(1.07)x, $1,081
D. f(x) = 900(0.07)x, $1,262
Answer:
D. f(x)=900(0.07)^x.1,262
Step-by-step explanation:
You would have to use the P(1+r)^x
P= starting amount
R= rate of change or the percentage changed into a decimal
x= time
So it would be, 900(1+0.07)^5
calculating that you would get 1,262.3. but approximately it's 1,262.
Hope this helped
Evaluate the expression when a= 1/4 and b = 6.
16a2 – 4b=
Step-by-step explanation:
HERE,
a=[tex]\bold{\dfrac{1}{4} }[/tex]
b=6
so,
According to the question,
[tex]\bold{16a^2-4b }[/tex]
[tex]\bold{16\times(\dfrac{1}{4})^2-4\times 6 }[/tex]
[tex]\bold{ 16\times \dfrac{1}{16}-24 }[/tex]
[tex]\bold{\cancel{16}\times \dfrac{1}{\cancel{16}}-24 }[/tex]
[tex]\bold{1-24 }[/tex]
[tex]\bold{ -23 }[/tex]
435,506 rounded to nearest ten thousand
Answer:
445,506
Step-by-step explanation:
math
help me again pleaseee
Answer:
a). x = 10.20 in
b). x = 2.24
Step-by-step explanation:
a). By applying Pythagoras theorem in the given right angle,
(Hypotenuse)² = (Leg 1)² + (Leg 2)²
(15)² = x² + (11)²
225 = x² + 121
x² = 225 - 121
x² = 104
x = √104
x = 10.198 ≈ 10.20 in
b). By applying Pythagoras theorem,
(3x)² = (2x)² + (5)²
9x² = 4x² + 25
9x² - 4x² = 25
5x² = 25
x² = 5
x = √5 = 2.24
How many times do 8 go into 5
it goes into five 0 times
Answer:
0 Times
Step-by-step explanation:
The answer is 0 times!
This is due to the concept in which 8 is a bigger number than 5.
Convert the following repeating decimal to a fraction in simplest form.
.6
Answer:
2/3
Step-by-step explanation:
Answer:
7/10
Step-by-step explanation:
0.6 is a repeating decimal in this case, so you can round it to .7
From there, you simply put it over ten because you cant break seven down any more than that in a simple fraction.
yoko is saving money to buy a bike that costs 125$.She has 60 and will add an additional 5 each week.In how many weeks will she have enough to buy the bikw
Answer:
13 Weeks
Step-by-step explanation:
Yoko currently has $60 so if she gains $5 each week simply 5x13=65
$60+$65=$125
10z + 3 =9z solve for z
z=-3
Step-by-step explanation:
Answer:
z = -3
Step-by-step explanation:
10z + 3 = 9z
10z + 9z - 3
10z - 9z = -3
z = -3
If mZLKO = 72°, then what is mZJKH?
B
C
E
A
►F
H Η
M
Answer:
d-"5"_""__"_'uvyctxycuvycycycyv
If you could help I would really appreciate it, but if not that’s fine. Thank you.
Find the value of x.
Hello!
[tex]\large\boxed{x = 6}[/tex]
The figure pictured contains two congruent triangles (ASA), so we can assume that:
JK ≅ JM
Therefore:
2x - 4 = 4x - 16
Subtract 2x from both sides:
2x - 2x - 4 = 4x - 2x - 16
-4 = 2x - 16
Add 16 to both sides:
-4 + 16 = 2x - 16 + 16
12 = 2x
Divide both sides by 2:
12/2 = 2x/2
x = 6.
Barbara has b bags of rice that each contain 4 pounds of rice. She has another bag that has 3 pounds of rice. Write an algebraic expression that shows how many pounds of rice Barbara has.
Answer:
Emani call me after before we go back to school i got 100 on it
Step-by-step explanation:
Which equation represents the line that passes through the points (-3, 7) and (9,-1)? oy--3x+5 o y=-x-7 o y=zx-7 oy - 12 2x+5
Answer:
use the slope equation (y2-y1) / (x2 -x1). plug in values and solve
(-1 -7) / (9 -(-3)) (subtracting a negative is the same as adding a positive)
-8 / 12 (simplify)
m = -2/3
then, plug in one of the points and the slope into the slope-point equation.
(y - y1) = m (x - x1) (the point-slope form)
y - 7 = -2/3( x - (-3)) (plug in the slope and point 1 values, then solve)
y - 7 = -2/3x - 2 (add 7 to both sides)
y = 2/3x +5 (the answer)
Step-by-step explanation:
I hope this helps :))
Can someone help me?
what is the third side ? due in 2 days
Answer:
the third side could be 8 or 2
Step-by-step explanation:
Answer:
6 < x < 14; answer = 8
Step-by-step explanation:
triangle inequality theorem: sum of any two sides must be greater than the third side
4 + 10 > x x < 14
10 + x > 4 x > 6
Xavier starts the summer with $315 in his savings account. Since he will be working a lot this summer, he made plans to deposit $80 into his account each week. If he ended the summer with $955 in his savings account, how many weeks did he make deposit?
Answer: 8 weeks
Step-by-step explanation:
He originally had $315 in his account. This figure increased to $955. It therefore increased by:
= 955 - 315
= $640
If he deposited $80 every week, the number of weeks it would take to deposit $640 is:
= 640/80
= 8 weeks
write an equation of the line and interpret the slope
Answer:
Step-by-step explanation:
Slope of this line will be= m= (600-200)/(1-5)
m = 400/-4 = -100
Eq of line will be:
(y-y1)=m(x-x1)
y-200=-100(x-5)
y-200+100x-500=0
100x+y-700 = 0
To write equation in slope-intercept form
y=mx+c
just seperate "y"
y=-100x+700
Hey there!
The answer to your question is [tex]y = -100x + 500[/tex]
To write this equation in slope-intercept form, first we must figure out the slope. We can do this using the formula
[tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]:
[tex]\frac{200-600}{5-1}[/tex]
[tex]\frac{-400}{4}[/tex]
[tex]-100[/tex]
Now, we have part of the equation: y = -100x + b. We have to find b, and we can do so by plugging in one of the points into the equation, like so:
[tex]600 = -100(1) + b[/tex]
[tex]600 = -100 + b[/tex]
[tex]500 = b[/tex]
Now, we have our equation:[tex]y = -100x + 500[/tex]
Hope it helps and have an amazing day!
The tables correspond to two lines in the coordinate plane.What is the X- coordinate of the solution of the two lines? hint:what point is the same?
Answer:
2
Step-by-step explanation:
when x=2, both lines have a y of -4
check the picture below & help please!!
how many hours?
Answer:
I think it should be 11/3
y = -2x + 11
What is the slope of the equation?
A) -11
B) -2
C) 9
D) 11
Answer:
-2
Step-by-step explanation:
you must follow the y=mx+b
m=slope
b=intercept
Answer:
B) -2
Step-by-step explanation:
y= -2x+11 is in slope-intercept form
y= mx+b
y= y-coordinate
x= x-coordinate
m= slope
b= y-intercept
m= -2
IQ
GPA
ia
SAT
115
3.4
115
1440
84
2.1
84
780
In this assignment, you will be comparing two data
sets. The first data set shows the relationship of GPA
and IQ scores. The second data set compares SAT
scores and IQ scores.
In the scatterplots for both sets of data, the
independent variable is
111
3.1
111
1120
120
3.8
120
1560
105
2.8
105
1240
98
2.6
98
1200
96
96
1000
88
88
920
It
Answer:
The answer is IQ
Step-by-step explanation:
Edge 2021
Pls help, I know the answer but what I wrote in the box isn't correct
How do I show the answer?
Answer:
AC=11.38 cm
Step-by-step explanation:
The Law of Cosines
It relates the length of the sides of a triangle with one of its internal angles.
Let a,b, and c be the length of the sides of a given triangle, and x the included angle between sides a and b, then the following relation applies:
[tex]c^2=a^2+b^2-2ab\cos x[/tex]
The figure shows two triangles and we are required to calculate the length of the side AC, knowing two sides and the angle between them. Thus, applying the formula:
[tex]AC^2=17^2+13^2-2*17*13*\cos42^\circ[/tex]
[tex]AC^2=289+169-442*0.7431[/tex]
[tex]AC^2=129.53[/tex]
[tex]AC=\sqrt{129.53}[/tex]
AC=11.38 cm
Solve the following expression 8 + (-20)
Answer:
-12
Step-by-step explanation:
integer rule = when a + and - comes it is indicated as - so ..
8-20 = -12
we put a minus sighnbecause 20 is the bigger number
Answer:
-12
Step-by-step explanation:
Note the rules of the signs:
If there are two positive signs next to each other, the resulting sign will be positive. Example + (+ ).
If there is one negative sign and one positive sign directly next to each other, the resulting sign will be negative Example - (+ ) or + (- ).
If there are two negative signs directly next to each other, the resulting sign will be positive. Example - (- ).
In this case, there is one negative, and one positive sign. Subtract 8 with 20:
8 + (-20) = 8 - 20 = -12
-12 is your answer.
~
(3 + 81)(3 - 81) =
DONE
h
Answer:
-6552
Step-by-step explanation:
First do 3+81 = 84 then 3-81 = -78. Then multiply them together to get -6552
Answer:
(3 + 81)(3-81)=9-6561
Stepby-step explanation:
PLEASE HELP ME ILL GIVE BRAINLIEST ITS DUE SOON OMG
Answer: He was given 50 for his birthday
Answer:
It's b
Step-by-step explanation:
This was the first answer I gave. So I am going with it.