There are two solid hemispherical objects made of clay having the same shape and size. If the total surface area of one hemispherical object is 462 square cm, find the total surface area of the sphere which is formed by attaching those two hemispherical objects.
The area of a 2D form is the amount of space within its perimeter. The total surface area of the formed figure is 615.75216 cm².
What is an area?The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm², m², and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.
Given that the total surface area of one hemispherical object is 462 square centimeters, therefore, we can write,
The total surface area of the hemisphere = 3πr²
462 cm² = 3πr²
r² = 462/(3π) cm²
r² = 49.0197 cm²
r = 7 cm
Now, when the two hemispheres will be attached, the total surface area of the formed figure will be equal to the total surface area of a sphere,
Therefore, we can write,
Total surface area = 4πr²
= 4 × π × (7 cm)²
= 615.75216 cm²
Hence, the total surface area of the formed figure is 615.75216 cm².
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ABC and XYZ are similar. Find the missing side length.
Answer:
56
Step-by-step explanation:
The easiest way to solve this is by cross multiplying. We can make an equation to find the answer of this by simply taking a side from each triangle and then the variable and equal side on the other triangle, shown below.
[tex]let \: \: ? = x[/tex]
[tex] \frac{7}{49} = \frac{8}{x} [/tex]
Now we solve with cross multiplication
[tex]7 x = 392 \\ x = 56[/tex]
Now we know the mystery number is 56
25 + 5w -1 0 + w
PLZ help me (i pomise i will mark brainliest)
Answer:
[tex]6w+15[/tex]
Answer:
6w+15
Step-by-step explanation:
You just simplify the expression
PLZZZZZ I NEED THE CORRECT ANSWER NOW
Use the simple interest formula to find the ending balance.
$5000 at 5% for 3.5 years.
Enter your answer in the box.
Answer:
$875
Step-by-step explanation:
5000/ .05 =
250
250 x 3.5 =
875
BRAINLIEST, THANKS, 5 STARS ! Correct and fast answers needed!!!!
Answer:
A=-10x,B=-4
Step-by-step explanation:
-5x*2=-10x
-2*2=-4
When the distributive property is used to solve the equation 9(x+4)=8x-3, what is the next step.
If F ( x ) = 2 x - 1, find the zero of F -1( x ).
A) -1
B) 1/2
C) 1
Answer:
A.
Step-by-step explanation:
A map of a trail in a park has a length of 4.5 centimeters from start to finish. The scale on the map states that 2 centimeters represents 3 kilometers.
What is the actual length of the trail in kilometers?
A) 1.3 kilometers
B) 3 kilometers
C) 6.75 kilometers
D) 9 kilometers
♡ The Question ♡
A map of a trail in a park has a length of 4.5 centimeters from start to finish. The scale on the map states that 2 centimeters represents 3 kilometers.
What is the actual length of the trail in kilometers?
* ୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*
♡ The Answer ♡
C) 6.75 kilometers!
*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*
♡ The Explanation/Step-By-Step ♡
No Explanation/Step-By-Step provided!
*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*
♡ Tips ♡
-No tips provided!
The length of the actual trail is required in kilometers.
The actual length of the trail is C) 6.75 kilometers.
Scale diagrams
It is given that 2 centimeters on the map represents 3 kilometers of actual length.
[tex]2\ \text{centimeters}=3\ \text{kilometers}[/tex]
We need to find what 1 centimeter on the map represents.
So, we divide both sides by 2.
[tex]\dfrac{2}{2}\ \text{centimeters}=\dfrac{3}{2}\ \text{kilometers}=1.5\ \text{kilometers}[/tex]
The length of the trail is 4.5 centimeters in the map. So,
[tex]4.5\ \text{centimeters}=4.5\times 1.5=6.74\ \text{kilometers}[/tex]
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Two common envelope sizes are 3 1/2 in. x 6 1/2 in. and 4 in. x 9 1/2 in.
Are these envelopes similar? Explain.
*Using Similar Figures*
★PLSSSSS HELPPPPPPPPP★
Answer:
I cant really read the question
WILL GIVE BRAINLIEST write an equation for the nth term of the arithmetic sequence and find the 30th term 28, 25, 22, 19, ... (show your work pls)
Answer:
[tex] a_n = 31 - 3n\\\\
a_{30}= 59[/tex]
Step-by-step explanation:
Given Arithmetic sequence is:
28, 25, 22, 19, ...
a = 28, d = 25 - 28 = - 3,
nth term of an Arithmetic sequence is given as:
[tex] a_n = a + (n - 1) d\\[/tex]
Plugging a = 28 & d = - 3 in the above equation, we find:
[tex] a_n = 28 + (n - 1) (-3)\\\\
a_n = 28 - 3n +3\\\\
\huge\purple {\boxed {a_n = 31 - 3n}} \\(This \:is \:the \:required \:equation) \\\\
Plug \: n = 30, \: we \: find:\\\\
a_{30}= 31 - 3 \times 30\\\\
a_{30}= 31 - 90\\\\
\huge\orange {\boxed {a_{30}= 59}} \\\\
[/tex]
Please guys help!!!!
Answer:
There are 4 people in Table A.
Step-by-step explanation:
Let the number of people at Table A be x and the number of people in Table B be x + 2.
[tex]\frac{72}{x}[/tex] = [tex]\frac{108}{x+2}[/tex]
72(x+2) = 108x
72x + 144 = 108x
144 = 108x - 72x
36x = 144
x = 144 ÷ 36
x = 4
The Hu family goes out for lunch, and the price of the meal is $54. The sales tax on the meal is 6%, and the family also leaves a 15% tip on the pre-tax amount. What is the total cost of the meal?
Answer:
The total cost of meal is $65.34
Step-by-step explanation:
Price of the meal = $54
Sales tax on meal = 6%
Tip given= 15% on pre-tax amount
We need to find total cost of meal.
First finding sales tax amount:
We need to calculate 6% of 54
[tex]6\% \ of \ 54\\=6\% \times 54\\=\frac{6}{100}\times54\\=3.24[/tex]
So, the sales tax would be $3.24
Now, we need to find tip amount
We will find 15% of 54
[tex]15\% \ of \ 54\\=15\% \times 54\\=\frac{15}{100}\times54\\=8.1[/tex]
So, the tip given would be $8.1
The total cost of meal = Price of meal + Sales Tax + Tip
= 54+3.24+8.1
= 65.34
So, the total cost of meal is $65.34
Which expression is correct?"The square of the sum of a number and 5, added to 3, then squared"
Answer:
5-n squared+3 squared
Step-by-step explanation:
solve the following equation
7/3x=5
Answer:
15/7. This the answer answer. But if it tells you simplify this then simplify it.
Step-by-step explanation:
Answer:
X = 15/7
Step-by-step explanation:
Mr. Randall, a salesperson, earns a weekly salary of $300 plus a commission of 7% of his weekly sales of merchandise. Last week, Mr. Randall earned $426. This can be represented by the equation below, where s represents his total sales, in dollars, for the week.
Answer:
Step-by-step explanation:
Step one:
given data
we are told that weekly salary is $300
and a commission of 7% of the weekly sales
let the sales be s
7% of s = 0.07s
hence weekly commission = 0.07s
let the total earning be y
the linear model for Mr. Randall earnings is
y=300+0.07s
step two:
For the situation whereby he earned $426
the model is given as
426=300+0.07s
let us solve for s, the sales made
426-300=0.07s
126=0.07s
divide both sides by 0.07
s=126/0.07
s=1800
Hence he made sales of $1800 for that week
what distinguishes the diagonals of rectangles from those of other parallelograms
Answer: The diagonals are thus equal, and divides the rectangle into right triangles, whereas the diagonals of a parallelogram are not equal and bisect it into two congruent triangles with angles depending on that of the parallelogram.
For f(x) = 4x + 1 and g(x) = x2-5 find (f - g)(x).
A. - x² + 4x - 4
B. - x² + 4× + 6
C. 4 x² - 19
D. x² - 4x - 6
Simplify [2(5 – 4) + 6(7 – 3)] ÷ 2
A 21
B 13
C 15
D 19
Answer:
B
Step-by-step explanation:
Baker's Best Canned Biscuits contains 5 biscuits and costs $0.69 per can. Butter Bee Canned Biscuits contains 8 biscuits and costs $1.29 per can. Find the unit rate to determine which brand of biscuits is the best buy?
Answer:
Baker's Best
Step-by-step explanation:
Given data
For Baker's Best
5 biscuits and costs $0.69 per can
The cost per biscuits
=0.69/5
=$0.14 per biscuit
For Butter Bee Canned
8 biscuits and costs $1.29 per can
The cost per biscuits
=1.29/8
=$0.16 per biscuit
Hence the best buy is Baker's Best which offers $0.14 per biscuit
please, brailiest, thanks, five star
Answer:
is there a question?
Step-by-step explanation:
5. y=x-1
x+y= 3
anyone know this ?
An artist uses different types of paper to create her masterpieces. She has shiny metallic paper and pink glittery paper. The shiny paper comes in lengths of 24 inches and the glitter paper in lengths of 36 inches. She wants to make sure she can cut her paper into equal sizes but doesn’t want them to be too small. What’s the largest size she can cut them into without any waste?
Answer:
it is 24 . Logically in my idea .
please help me with this
Answer:
D. [tex] Cos(Z) = \frac{5}{13} [/tex]
Step-by-step explanation:
Using trigonometric ratios formula, thus:
[tex] Cos(Z) = \frac{Adjacent}{Hypotenuse} [/tex]
Reference angle = Z
Adjacent = 10
Hypotenuse = 26
Plug in the values into the formula
[tex] Cos(Z) = \frac{10}{26} [/tex]
Simplify
[tex] Cos(Z) = \frac{5}{13} [/tex]
PLEASE HELP !
Which scenarios represent one quantity changing at a constant rate per unit interval relative to the other quantity?
Select all that apply
A. An employee earns $14 per hour.
B. An employee earns a 3% raise each year.
C. A gym charges a $50 down payment plus $30 per month.
D. A piece of gym equipment decreases 8% in value every 6 months.
E. A trainer charges $20 for every 30 minutes of training plus a $5 tip.
Answer:C and E
Step-by-step explanation:
An employee earns $14 per hour and a trainer charges $20 for every 30 minutes of training plus a $5 tip are a constant rate per unit interval. Therefore, options A and E are the correct answers.
Given that, an employee earns $14 per hour.
What is constant rate of change?When something has a constant rate of change, one quantity changes in relation to the other. For example, for every half hour the pigeon flies, he can cover a distance of 25 miles. We can write this constant rate as a ratio. For ratios, it's always a good idea to state both units in whole terms.
A). Let the number of hours be x and the total money earned be y
So, y=14x
B). Let the money earn by an employee each year be a and total earning in a year be b.
So, b=a+3% of a
⇒ b=a+0.03a
⇒ b=1.03a
C) Let the number of months be m and the total charge be t
So, t=50+30m
D) Let cost of gym equipment be p, rate of change =8% and time period = 6 months
So, [tex]A=p(1-\frac{8}{100} )^{6t}=p(0.92)^{6t}[/tex]
E) Let the number of hour be x.
Here, 30 minutes = 1/2 hours
Total charge = 20+5x/2
An employee earns $14 per hour and a trainer charges $20 for every 30 minutes of training plus a $5 tip are a constant rate per unit interval. Therefore, options A and E are the correct answers.
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please ive been trying to get help all day :(
Answer:
its D
Step-by-step explanation:
Joshua went kayaking. It cost him $ 15 to rent the kayak. It also cost $ 6 for each hour spent on the lake kayaking. Joshua spent 2 $\frac{1}{2}$
1
2 hours on the lake. How much was his total bill for the kayak rental and hours kayaking on the lake?
A survey of Ghasi's customers showed that 1,200 of the customers buying yarn would buy bamboo yarn. In the first month, 725 customers actually bought bamboo yarn. What was the percent error in the survey estimate of the number of people buying bamboo yarn? Round to the nearest tenth.
Answer:
40%Step-by-step explanation:
Step one:
given data
expected customers= 1200
actual customers= 725
the percent error= (actual-expected)/expected
substituting the given values we have'
%error=725-1200/1200
%error=475/1200
%error=0.395
To the nearest tenth we have 0.4
%error=0.4*100
%error=40%
Hence the percent error is 40%
Answer:
40%
Step-by-step explanation:
This is probably simple but can someone help me with this??
Answer:
7.5 units
Step-by-step explanation:
First, create a proportion by picking 2 sides:
2.5/n = 5/15
Next, cross multiply:
5n = 37.5
Finally, divide both sides to isolate the variable:
7.5
Therefore your answer is 7.5 units.
2x+3y=9 and x-2y=8 system of equations
Answer:
(6, -1)
Step-by-step explanation:
Solve the System of Equations
2x + 3y = 9 and x − 2y = 8
Add 2y to both sides of the equation.
x = 8 + 2y 2x + 3y = 9
Replace all occurrences of x with 8 + 2y in each e quation.
Replace all occurrences of x in 2x + 3y = 9 with 8 + 2y. 2 (8 + 2y) + 3y = 9
x = 8 + 2y
Simplify 2 (8 + 2y) + 3y.
16 + 7y = 9
x = 8 + 2y
Solve for y in the first equation.
Move all terms not containing y to the right side of the equation.
7y = −7
x = 8 + 2y
Divide each term by 7 and simplify.
y = −1
x = 8 + 2y
Replace all occurrences of y with −1 in each equation.
Replace all occurrences of y in x = 8 + 2y with −1. x = 8 + 2 (−1)
y = −1
Simplify 8 + 2 (−1).
x = 6
y = −1
The solution to the system is the complete set of ordered pairs that are valid solutions.
(6, −1)
The result can be shown in multiple forms.
Point Form:
(6, −1)
Equation Form:
x = 6, y = −1
Answer:
(6, -1)
Step-by-step explanation: