Given :
Square-based pyramid that has base edges measuring 6 units and lateral edges measuring 5 units.
To Find :
The total area, in square units, of the four triangular faces of a right.
Solution :
We know, area of square based prism is given by :
[tex]A = a^2 + \dfrac{ah}{2}[/tex]
Here, a is the length of square base and h is the height .
[tex]A = 6^2 + \dfrac{6\times 5}{2}\\\\A = 51 \ units^2[/tex]
Therefore, total area in square units is 51.
There are 2.54 centimeters in 1 inch. There are 100 centimeters in 1 meter.
To the nearest meter, how many meters are in 474 inches?
a conical tank with vertex down is 10 feet across the top and 12 feet deep. If water is flowing out of the tank at a rate of 12 cubic feet per minute, find the rate at which the water level is dropping when radius of water level is 4ft.
Answer:
The water level is dropping at a rate of 0.24 ft/s
Step-by-step explanation:
Here, we simply want to calculate the change in depth (height of the cone) , given the volume change
Mathematically, we have the volume of a cone as;
V = 1/3 * π * r^2 * h
we are given dv/dt as 12 ft^3/m
dv/dh = 1/3 * π * r^2
Substituting the value for the radius, we have
dv/dh = 1/3 * 22/7 * 4^2 = 50.29
dh/dt = dh/dv * dv/dt
dh/dv = 1/(dv/dh) = 1/50.29
Thus,
dh/dt = 1/50.29 * 12
dh/dt = 0.24 ft/s
what is the answer to 7x8(8/2)
Answer:
224
Step-by-step explanation:
1. first divide 8/2 in the parentheses which will give you 4
2. Then multiply 4 to 8 which will give you 32
3. finally multiply 32 to 7 which will give you an answer of 224
What is the value of the expression below when z=3 and w =2
10z+ 5w
Use the order of operations to simplify 5(3 1/5 + 2 4/5) - 0.6.
A. 29.4
B. -16
C. 23 2/5
D. 30.6
Answer:
A. 29.4
Step-by-step explanation:
5(3 1/5 + 2 4/5) - 0.6
5(6) - 0.6 parenthesis
30 - 0.6 multiplication
29.4 subtraction
Write the equation you would use to solve for X. Then solve.
Answer:
Step-by-step explanation:
Do a calculation
PLEASE ILL GIVE 40 POINTS!!! How do the magnetic and electrical components of electromagnetic waves travel in relation to each other?
at right angles
toward each other
in a circular motion
parallel to each other
Answer:
at right angles
Step-by-step explanation:
Which statement about 272° is correct?
A. tan 272° < 0
B. sin 272° > 0
C. cos 272° < 0
Answer:
tan 272 < 0 is the correct answer
Step-by-step explanation:
Firstly, we need to understand the quadrant in which we have the angle
Mathematically, angle 272 is on the 4th quadrant
On the 4th quadrant, only the cosine value is positive, sine and tangent values are negative
Hence, we have that tan 272 < 0
is the correct answer
Answer: A. tan 272° < 0
Step-by-step explanation:
Ap3x Approved
What is the sum of the interior angles of a 14 sided polygon?
Answer:
2160 degrees
Step-by-step explanation:
The general equation to find the sum of interior angles in a polygon is;
[tex](n - 2) * 180[/tex]
Where "n" is the sides of the polygon.
Substitute in 14 for "n"
( 14 - 2 ) * 180
Solve;
( 14 - 2 ) * 180
12 * 180
2160
Use the Pythagorean Theorem to find the length of the hypotenuse in the triangle shown below.
16
30
Answer:
the answer is 34.
Step-by-step explanation:
the Phythagorean theorem is a^2 + b^2 = c^2.
I hope this helped and if it did I would appreciate it if you marked me Brainliest. thank you and have a nice day!
Please help me solve this answer.
Answer:
1 hour 2 min 20 secStep-by-step explanation:
Given
6 min video ⇒ 17 min uploadUpload time of 1 min video
1 min video ⇒ 17/6 min uploadTime to upload of 22 min video
22 min video ⇒ 22*17/6 = 62 1/3 min = 1 hour 2 min 20 sec uploadUse the polygon on the coordinate plane to complete the statements. This polygon is a The length of side RV The length of side ST
Answer:
pentagon
is 14 units
cannot be determined
Step-by-step explanation:
Answer:
Step-by-step explanation:
Use the polygon on the coordinate plane to complete the statements. This polygon is a The length of - Brainly.com
yw thanks for the points have a nice day :}
Simplify. Use the distributive
property and combining like terms to
simplify each expression.
7. 5x + 2(x – 3),
Answer:
7x - 6
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyAlgebra I
Combining Like TermsStep-by-step explanation:
Step 1: Define
5x + 2(x - 3)
Step 2: Simplify
Distribute 2: 5x + 2x - 6Combine like terms: 7x - 6Combining like terms is a process where you combine the terms with the same variable and/or exponent.
Let's say that we have an expression 3p + 3q. We can't combine the like terms, because 3p and 3q have different variables.
Now, what is the distributive property?
The distributive property is a property used for multiplying a monomial by a binomial or trinomial by "distributing" the monomial. The distributive property has a formula, which is:
[tex]\sf{a(b+c)=ab+ac}[/tex]
Here, a got multiplied by b and c.
Similarly, we combine the terms:
[tex]\sf{5x+2(x-3)}[/tex]
Simplify:
[tex]\sf{5x+2x-6}[/tex]
Combine like terms:
[tex]\sf{7x-6}[/tex]
Hence, the simplified answer is 7x - 6.
is 0.01 less than 0
Answer:
no
Step-by-step explanation:
No 0.01 is not less than 0
Because 0 means nothing
And
0.01 means have something
So
0.01>0
f(x)=5x−3 evaluate the function
Yesterday, Grace drove 44 1/2 miles. She used 1 1/4 gallons of gasoline. What is the unit rate for miles per gallon?
Answer:
35.6 miles per gallon.
I'm not sure but good luck :)
Step-by-step explanation:
Answer:
Just realized I gave you the wrong answer. Here's the right one below:
Step-by-step explanation:
(44 1/2)/(1 1/4)
(89/2)/(5/4)
(89/2)(4/5)
178/5
35 3/5 mpg
Sorry about that! :)
Katherine has a $10 gift certificate
for an online store. She chose a pair
of shoes that cost $32.78, and a
dress that cost $27.24. Shipping is
$5.22. If she uses her gift certificate,
what amount will she need to pay?
Answer:
Katherine will pay $55.24.
Step-by-step explanation:
32.78 + 27.24 + 5.22
= 65.24
65.24 - 10
= 55.24
Katherine will pay $55.24.
I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!
If you have two 6-sided dice, each with the numbers 1-6 on a side, what is the theoretical probability of rolling 3 and 3 when both die are rolled together?
Answer:
The probability is 1/36
Step-by-step explanation:
Since we have two dies rolled together, the sample space is 36
What we mean by the sample space is the number of total possible results
So the total number of results that we can get is 36
Out of all our result, 3,3 can only appear once
so the probability of getting 3,3 on both dice is 1/36
Answer:
1/36
Step-by-step explanation:
find the missing side length
Answer:
The length of the missing side is
[tex]4 \sqrt{5} \\ if \: you \: want \: it \: not \: simplified \: it \: would \: be \: \\ \sqrt{80} [/tex]
Step-by-step explanation:
You could do Pythagorean theorem which is:
[tex] {a}^{2} + {b}^{2} = {c}^{2} \\ {8}^{2} + {4}^{2} = {c}^{2} \\{64} + {16} = {c}^{2} \\ \sqrt{80} = {c}^{2} \\ 4\sqrt{5} = c[/tex]
solve for x. x2-3[x-2]-4x=
There are 27 students in Mrs. Augello’s math class. The number of boys is three less than the number of girls. Write a system of equations that represents the number of boys and girls.
Answer:
x + y = 27
y = x - 3
Step-by-step explanation:
x = # of girls
y = # of boys
first there are a total of 27 students so # of girls plus # of boys has to be 27.
then number of boys is 3 less than number of girls. This means x - 3 = y or y = x-3
please click heart to give thanks :)
Please answer !!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!
Answer:
x = 55 degrees
Step-by-step explanation:
180 - 164 = 16. 16 + 109 = 125. A triangle's angles should add up to 180, so to find the value of x, subtract 180 by 125 and you'll get 55.
Answer:55
Step-by-step explanation:
Steps below
-8d-5d+7d=72 can you help me figure out d
Answer:
d = -12
Step-by-step explanation:
Add -8 -5 +7
take that number : -6
72 divided by -6 = -12
d = -12
(y - 4) (5y + 6) = 0
Find the solutions
Answer:
Y=4,-5/6
Step-by-step explanation:
Answer:
1. y=4
2. y= -6/5
Step-by-step explanation:
Write a logarithmic function that represents the following transformations applied to the parent function: Reflection over the y-axis, a vertical stretch by a factor of (5/3) a transformation right 2 units, and a transformation down 6 units.
Answer:
Original function;
y = logbX
Transformation;
y = -5/3logb(x + 2) - 6
Step-by-step explanation:
General form of a logarithmic function is given below;
y = logb X (log to base b)
Reflection over the y-axis
y value remains same, x becomes negative
y = - logb X
Vertical stretch by a factor of 5/3
This means that we multiply the whole function by 5/3
That will be;
y = -5/3logbX
Transformation right 2 units
This means that we add the value of 2 to the x-axis value
y = -5/3logb(x + 2)
transformation down 6 units
This means that we subtract 6 from the total y value
y = -5/3logb(x + 2) - 6
AMONG US CODE: BZPINF
What is the area???????
Answer: 56mm
Step-by-step explanation:
A=(a+b)/2 x h
A=(4+12)/2 x 7
A=16/2 x 7
A=8 x 7
A= 56mm
Help me please I’d really appreciate it right now .
Answer:
sales tax is $0.6
total cost is $20.60
Step-by-step explanation:
20*0.03=0.6
20*1.03=20.6
7. Where is most of the Earth’s supply of water found?
A. in rivers
B. in lakes
C. in glaciers and icecaps
D. in the ground
please solve thisss
Answer:
1,570
Step-by-step explanation:
10×2=20
20×3=60
30×5=150
40×7=280
50×4=250
60×3=180
70×8=630
Now,
20+60+150+ 280 +250+ 280+ 630=1,570
this is the answer
Answer:
[tex] \huge{ \boxed{ \bold{ \tt{45.31}}}}[/tex]
❀ Explanation :
✑ Let's Know about A.M ( Arithmetic Mean )
In statistics , a single number can be calculated from a group of data which shows the character of the whole data. This number is called the average of the while data. An average is also called the arithmethic mean or simply mean which is a measure of central tendency.
☄ To calculate the average of the given type of data ( discrete series ) , follow the steps given below :
Make the table of 3 columns .Write down the items or observations ( x ) in the first column in ascending order and the corresponding frequency ( f ) in the second column.Multiply the data ( x ) by their corresponding frequency ( f ) and write down the product in third column of fx.Find the sum of f - column and fx - column separately.Divide the sum of fx by the sum of f , the quotient so obtained is the required mean.✐ Remember :
[tex] \underline{ \boxed{ \sf{mean \: = \frac{Σfx}{Σf} \: or \: \frac{Σfx}{n}}}} [/tex]
Where , Σf = N = Sum of the frequency and the symbol ' Σ ' ( sigma ) means " summation of " .
( See the workings in attached picture )
Hope I helped!
♪ Have a wonderful day / night ツ
~~