Answer:
$57750
Step-by-step explanation:
$70,000 - 17.5%
17.5 % = .175
.175 * $70000 = $12250
$70000 - $12250 = $57750
A lamp shade is in form of a frustum of a cone , its upper and lower diameter are 10cm and 20cm respectively , its height is 12cm . Calculate the volume of the frustum
Answer:
V = 8796.45 [tex]cm^3[/tex]
Step-by-step explanation:
Given data :
A lamp shade is in the form of a frustum of a cone.
The upper diameter of the cone, r = 10 cm
The lower diameter of the cone, R = 20 cm
The height of the frustum, h = 12 cm
Therefore, the volume of the frustum of cone is given by :
[tex]V = \frac{1}{3} \pi H ( R^2 + Rr+r^2)[/tex]
Putting the values, we get
[tex]V = \frac{1}{3} \pi \times 12 [( 20)^2 + (20)(10)+(10)^2][/tex]
[tex]$V=4 \pi[400 + 200+100]$[/tex]
[tex]$V=4 \pi[700]$[/tex]
V = 8796.45 [tex]cm^3[/tex]
Thus the volume of the frustum of cone is V = 8796.45 [tex]cm^3[/tex]
Using Special Angle Triangles find the exact value :
a) cos 45º
b) tan 30 °
C) CSC 45°
d) sec 60°
I’d appreciate your help please and thank you!
Answer:
Step-by-step explanation:
Trigonometric table has the value of the trigonometric ratio of Sin, Cos , Tan , Csc, Sec & Cot of the angles 0° , 30°, 45° , 60°, 90°
Cos 45 = [tex]\frac{1}{\sqrt{2} }[/tex]
Tan 30 = [tex]\frac{1}{\sqrt{3} }[/tex]
[tex]Csc 45 = \sqrt{2}\\\\\\Sec 60 = 2[/tex]
The area model represents the quotient of 108 ÷ 9. Which equation shown by the area model can be used to find the quotient?
Solution :
Given that the area model that represents a quotient of 108 ÷ 9.
So, we multiply 9 by multiples of [tex]10[/tex] to [tex]\text{estimate the quotient.}[/tex]
10 20 30 40
90 180 270 360
Because 108 is between 90 and 180, the quotient lies between 10 and 20.
Using 10 as the first partial quotient in the area model for 108 ÷ 9,
9 x 10 = 90 , so 108 - 90 = 18
Now, 9 x 2 = 18, so 18 - 18 = 0
∴ 10 + 2 = 12
Therefore, the quotient of 108 ÷ 9 is 12.
Answer: 108 ÷ 9 is 12.
Step-by-step explanation:
I need help with this one
Answer:
B
Step-by-step explanation:
if you look closely, you can see that the side of it goes up 2, then 2, then 1.
Answer:
The one on the right
Step-by-step explanation:
2. A carpenter wants to cut a wood board that is feet long
d on
5
into pieces that are feet long. How many whole pieces
can be cut from the board? How much wood is left over
16
Answer:
2 whole pieces
5/24 feet left
Step-by-step explanation:
divide 5/6 by 5/16 = 2 2/3 pieces
so there are 2 whole pieces and 2/3 small piece.
The 2/3 small short equals to 5/16 x 2/3 = 5/24 ft
Write an example for binomial of degree 999.
Answer:
x⁹⁹⁹ + 1
Step-by-step explanation:
a binomial is a polynomial that is the sum of two terms
x⁹⁹⁹ + 1
How do I find Y Im still confused on how to solve Y and if you have any tips please lmk asap. Thank you
Answer:
y = 3
Step-by-step explanation:
Since ABCD is similar to EFGH, therefore, the ratio of their corresponding sides are equal. Thus:
AB/EF = CD/GH
AB = 3
EF = 2
CD = 4.5
GH = y
Substitute
3/2 = 4.5/y
Cross multiply
3*y = 4.5*2
3y = 9
Divide both sides by 3
3y/3 = 9/3
y = 3
A triangle is shown. What is X?
Answer: 44º
Step-by-step explanation:
Hi there! To start out, disregard Y and Z, as they are just there to trip you up.
Use the Triangle Sum Theorem to find out the question! This theory states that all angles in a triangle add up to 180 degrees. So, just set up an equation, like the one down below!
82+54+X=180
Then, add the whole numbers!
136+X=180
Then isolate X by using inverse operations!
136+X-136=180-136
Then your answer is there!
X=44
If you have any follow up questions, please let me know! Have a nice day
what cannot form a triangle 10 POINTS
Are lines l and k parallel?
Answer:
yes they ar op b
Step-by-step explanation:
Rotate the triangle 90° anti-clockwise about the cross.
Answer:
see below
Step-by-step explanation:
-90 degrees, the rule is (x, y) --------> (-y, x)
The leftmost point is at (1,1) so it will be at (-1, 1)
The top right point is at (4,1) so it will be at (-1,4)
The bottom right point is at (4,-1) so it will be at (1,4)
if LMNO is a rectangle, and MO=54, what is the length of line NP?
answers
a.) 34
b.) 22
c.) 18
d.) 108
e.) 27
f.) cannot be determined
Answer:
27 is the correct answer
Answer:
27
Step-by-step explanation:
NO LINKS !!!!
Select all the pairs that are alternate interior angles.
1/2 5/6
4/38/7
A. Z6 and 25
B. 23 and 2 5
C. Z 5 and 24
OD. Z 8 and 2 1
E. Z 2 and 28
tapes that usually cost $8 each are on sale for 30% off what is the price for a tape on sale?
Answer:
$5.6
Step-by-step explanation:
Answer:
8*30/100= 2.4
so present cost = 8.0 - 2.4 = $ 5.6
Step-by-step explanation:
When dragons on planet Pern lay eggs, the eggs are either green or yellow. The biologists have observed over the years that 39% of the eggs are yellow, and the rest green. Next spring the lead scientist has permission to randomly select 66 of the dragon eggs to incubate. Consider all the possible samples of 66 dragon eggs. What is the usual number of yellow eggs in samples of 66 eggs
Answer: The usual number of yellow eggs in the selected sample is 26.
Step-by-step explanation:
It is given that there are 2 types of dragon eggs: Yellow and green
Observation says that 39% of the eggs are yellow.
When selected at random for incubation:
Number of eggs selected are = 66
To evaluate the number of yellow eggs, we must calculate 39% of 66 eggs
[tex]\Rightarrow \frac{39}{100}\times 66\\\\\Rightarrow 25.74\approx 26[/tex]
Hence, the usual number of yellow eggs in the selected sample is 26.
steve desposite $1800 per month in his saving bank account. If thi is 20% of the monthly income, find his monthly income
Step-by-step explanation:
Hey there!
The amount deposited= $1800
And it's just 20% of total monthly amount.
Let total amount be "x".
Then;
$1800 = 20% of X
[tex]1800 = \frac{20}{100} \times x[/tex]
or, 180000= 20x
or, X = 180000=/20
Therefore, total monthly amount or income was $9000.
Hope it helps!
Which of the following represents the ratio given side to the hypotenuse? (PLEASE ANSWER IMMEDIATELY)
Answer:
option C
Step-by-step explanation:
[tex]given \ side : hypotenuse \\\\3 : 3 \sqrt2\\\\1 : \sqrt2[/tex]
What percent does a lender generally look for when considering the debt-to-income (DTI) ratio of a loan applicant?
a. less than or equal to 36%
b. less than or equal to 42%
c. less than or equal to 50%
d. less than or equal to 72%
Please select the best answer from the choices provided
A. B. C. D.
Answer:
A
Step-by-step explanation:
less than 36% seems fine
Answer:
A
Step-by-step explanation:
The product of b and 5 is greater than or equal to −23.
Answer:
Step-by-step explanation:
Product of b and 5 = b*5 = 5b
Inequality:
5b ≥ - 23
Solution:
Divide both sides by 5
b ≥ -23/5
b ≥ -4.6
Answer:
5b≥ -23
Step-by-step explanation:
product of b and 5 - this means multiply
5b
is greater than or equal - ≥
5b≥ -23
Solving
Divide by 5
5b/5≥ -23/5
b≥ -23/5
Can someone help me with this question? Workings would be appreciated :] Adrian, Ben and Charlie share some sweets in the ratio 8:5:10 Charlie got 20 more sweets than Adrian. Work out the total amount of sweets.
Answer: 230 - the total amount of sweets.
Step-by-step explanation:
Adrian received 8 pieces of sweets;
Ben got 5 pieces of sweets;
Charlie received 10 pieces of sweets.
The sum of all parts:
8 + 5 + 10 = 23
Let's calculate how many parts Charlie got more than Adrian:
10 - 8 = 2
It is also known that Charlie received 20 more sweets than Adrian. This means that you can calculate how many sweets are in one part.
20 : 2 = 10
Now we can calculate the total amount of sweets:
10 × 23 = 230
Find the mode from the dot plot. Quick pls
Hey there!
“What is the mode?”
The mode in mathematical terms means “the REPEATED NUMBER in the data”
Going through all of the terms in the given data none of them seems to be repeated
Option A-C aren't the answers because NONE of those numbers repeated in the data plot
Option D. is the answer because there are no given data in the plot
Answer: Option D. “There is no mode”
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
What is the first step to solve this equation?
3x + 6 = 10 + 3x + 4x
Answer:
Combine like terms
Step-by-step explanation:
3x + 6 = 10 + 3x + 4x
Combine like terms
3x + 6 = 10 + 7x
Subtract 3x from each side
3x-3x + 6 = 10 + 7x -3x
6 = 10 +4x
Subtract 10 from each side
6-10 = 10+4x-10
-4 = 4x
Divide by 4
-4/4 = 4x/4
-1 =x
Answer:
3x + 6 = 10 + 7x
is the first step to solving this equation
What is the distance between point P and point R?
Answer:
PR = 10
Step-by-step explanation:
PR = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
The coordinates for P and R are (0,4) and (-6,-4) respectively.
So you plug in the values:
PR = [tex]\sqrt{(-6-0)^2+(-4-4)^2}[/tex]
PR = [tex]\sqrt{(-6)^2+(-8)^2}[/tex]
PR = [tex]\sqrt{36+64}[/tex]
PR = [tex]\sqrt{100}[/tex]
PR = 10
worth 11 points and actually help me instead of taking the points plz
Answer:
C'(-1,1)
Step-by-step explanation:
The coordinates of C are (-2,4).
The translation is (x+1,y-3), so we take the x value -2 and the y value 4 and plug it in.
(-2+1,4-3)
=(-1,1)
C' has the coordinates (-1,1)
Answer:
Its ([-1],[1])Step-by-step explanation:
By (x+1, y-3), the trapezoid wll move 1 point to the right, and 3 points down.
Super Storage takes storage cubes to customers, the customers fill them, and then super storage takes the cubes to their storage warehouse. The volume for one storage cube is 1,041 1/4 cubic feet. If the cubes length is 12 1/4 feet and the width is 8 1/2 feet, how tall is 1 cube.
Answer:
The height is 10ft
Step-by-step explanation:
Given
[tex]V = 1041\frac{1}{4}ft^3[/tex] --- Volume
[tex]L = 12\frac{1}{4}ft[/tex] --- Length
[tex]W = 8\frac{1}{2}ft[/tex] --- Width
Required
The height (H)
The volume is calculated using:
[tex]V = LWH[/tex]
Make H the subject
[tex]H = \frac{V}{LW}[/tex]
Substitute values for V, L and W
[tex]H = \frac{1041\frac{1}{4}}{12\frac{1}{4}*8\frac{1}{2}}[/tex]
Express as decimals
[tex]H = \frac{1041.25}{12.25*8.5}[/tex]
[tex]H = \frac{1041.25}{104.125}[/tex]
[tex]H = 10[/tex]
The height is 10ft
Find the surface area of a cylinder with a height of 7 feet and base radius of 4 feet. ,_____ square feet
Answer:
276.32
Like I have explained in a prev. Question of yours.
Answer:
The surface area of cylinder is 276.32 feet²
hope it helps
have a nice day
Thank for answer thank you
Answer:
Volume = 840 cm^3
Step-by-step explanation:
Volume = Area of front x the length
Area of front = 15 x 8 = 120 cm^2
= 4 x 5 = 20 cm^2
= 120 + 20 = 140 cm^2
Volume = 140 x 6
Volume = 840 cm^3
If this helps you, please mark brainliest!
Answer:
Formula for Volume - L x W x H
Volume = 1080cm^3
360 + 720
1080
Help are these correct ahahahahhh and explain pls
14. Which is the first step in solving: X - 1/3 = 1/3 ?*
Answer:
Step-by-step explanation:
In this case "solving" involves isolating the variable, x, on the left side of this equation.
Starting with x - 1/3 = 1/3, we add 1/3 to both sides. This results in:
x = 1/3 + 1/3, or x = 2/3.
4. Find the perimeter of quadrilateral PQRS