Ray had a block of wood in the shape of a rectangular prism. The block and it's dimensions are shown below:
Answers
Answer:
[tex](a)\ Area = 24in^2[/tex]
[tex](b)\ Area = 60in^2[/tex]
Step-by-step explanation:
Given
See attachment for the dimension of the block
Solving (a): Area of the front face
From the attachment, the front face has the following dimension.
[tex]Length = 4in[/tex]
[tex]Width = 6in[/tex]
The area is calculated as:
[tex]Area = Length *Width[/tex]
[tex]Area = 4in * 6in[/tex]
[tex]Area = 24in^2[/tex]
Solving (b): Area of the top and bottom faces
The top and bottom faces have the same dimension
From the attachment, the top face has the following dimension.
[tex]Length = 5in[/tex]
[tex]Width = 6in[/tex]
The area of the top is calculated as:
[tex]Area = Length *Width[/tex]
[tex]A_1 = 5in * 6in[/tex]
[tex]A_1 = 30in^2[/tex]
The area of the top and the bottom faces is:
[tex]Area = 2 *A_1[/tex] ---- because the top and bottom faces have the same dimension
[tex]Area = 2 *30in^2[/tex]
[tex]Area = 60in^2[/tex]
Related Questions
what is the volume of the cylinder below
Answers
Step-by-step explanation:
here's your solution
=> volume of cylinder = πr^2h
=> radius of cylinder = 12 unit
=> height of cylinder = 17 unit
=> volume of cylinder = 2448 π units^3
[tex]\huge\mathcal\pink{here's \: your \: solution}[/tex]
[tex]\huge\mathfrak\purple{hope \: it \: helps \: }[/tex]
find Angles in isosceles triangles
Answers
Answer:
the value of x is 61 degree because the base angles of an isosceles triangle are equal.
Step-by-step explanation:
Hope it helps you!!
Any help is appreciated<3
A jewelry shop is offering a percent discount on the original price of a jade pendent. The original price of the pendant was $200.
Let d represent the percent discount, written as a decimal. Write an equation to find the discount price, y dollars, of the pendant.
Answers
An equation to find the discount price, y dollars, of the pendant is y=2d.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
The original price of the pendant was $200.
Let d represent the percent discount, written as a decimal.
The discount price, y dollars, of the pendant.
y=d% of 200
y=d/100 ×200
y=2d
Therefore, an equation to find the discount price, y dollars, of the pendant is y=2d.
To learn more about an equation visit:
https://brainly.com/question/14686792.
#SPJ1
PLEASE HELP! - FIND THE VALUE OF X! - PLEASE PLEASE PLEASE SHOW YOUR WORK I WILL MARK YOUR BRAINLIST!! MY TEACHER IS REALLY STRICT ABOUT SHOWING WORK. YOU WILL GET 20 POINTS! :)
Answers
27- same ordeal 180-25=155 155-20=135 x=135
28- 180-130=50 50-30=20 x=20
29- 180-95=85 85-40=45 x=45
Answer:
1. 50°
2.135
3.20°
4.45°
Step-by-step explanation:
1. A right angle adds up to 90 degrees adding that with 40 degrees you get 130. When you subtract the with 180 because a triangle add up to 180 you get 50°. 90+40=130 180-130=50 (might be better in column method.)
2.Add both 20 and 25 to get 45 and subtract your answer with 180 because triangles add up to 180. 20+25=45 180-45=135(might be better in column method)
3.Add 130 and 30 to get 160. Subtract 180 by your answer and get 20.
130+30=160 180-160=20(might be better in column method)
4. Add 95+40 and subtract your answer by 180. 180 subtracted by 135 is 45.
95+40=135 180-135=45(might be better in column method)
Which cube root function is always decreasing as x increases?
○ f(x) Jm³√x – 8
O
f(x) = 3√√x-5
f(x)=√√-(5-x)
f(x) = -3√x+5
Answers
Option D) f(x) = -3√x+5 is the cube root function is always decreasing as x increases
What is the Formula of Cube Root Function? f(x) = x is the formula for the fundamental (parent) cube root function. After transformations, it can alternatively take the form f(x) = a (bx - h) + k. Here, the transformations are denoted by the real numbers a, b, h, and k.The symbol "" designates the cube root. For instance, 8 Equals (2 + 2 + 2) = 2. Finding the cube root of a number is simple since 8 is a perfect cube number.You need to discover a number that, when multiplied twice by itself, equals the original number in order to get the cube root of a given integer. To get the cube root of 8, then, you need to identify the integer that, when multiplied by itself twice, equals 8. Therefore, since 2 2 2 = 8, the cube root of 8 is 2.Given data :
y = ³[tex]\sqrt{x}[/tex] is an increasing function as when the value of x increases the value of y increases
And when the value of x decreases , the value of y also decreases.
Now if we have (x+a) or (x-a) instead of x, the function shall have a horizontal shift.
So it shall either move left or right but shall not flip.
So
y = ³[tex]\sqrt{(x - 8)}[/tex] and y = ³[tex]\sqrt{(x - 5)}[/tex]
are increasing functions.
Only when x becomes -x, that the function shall flip & shall become a decreasing function.
But then it must be - (x-a) or -(x+a) inside.
So
y = ³[tex]\sqrt{-(5 - x)}[/tex] is also increasing
Only
y = ³[tex]-\sqrt{(x + 5)}[/tex] is a decreasing function.
Option D) is the right answer.
Learn more about Cube Root Function refer to ;
https://brainly.com/question/27949820
#SPJ4
50 POINTS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!50 POINTS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!50 POINTS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Select the correct answer. The graph of function f is shown. Function g is represented by the table. x -2 -1 0 1 2 g(x) -32 -16 -8 -4 -2 Which statement correctly compares the two functions on the interval [0, 2]? A. Both functions are increasing, but function g is increasing faster. B. Both functions are increasing, but function f is increasing faster. C. Function f is increasing, and function g is decreasing. D. Both functions are increasing at the same rate.
Answers
Answer:
B
Step-by-step explanation:
explain how many different rectangles you can make with a perimeter of 32 units.
Answers
Answer:
Well, it really just comes down to factoring the area into all of its components.
1 X 32 Perimeter is 2 + 64, or 66 m
2 X 16 Perimeter is 4 + 32 or 36 m
4 X 8 Perimeter is 8 + 16 or 24 m
8 X 4
16 X 2
32 X 1
Please note that the last 3 are just the first 3 in a different orientation and I don’t consider them to be unique. I noted them as a self-check to my own work. So we have 3 rectangles giving an area of 32 square meters and perimeters as noted above.
Answer:
dimensions which would give a rectangle a perimeter of 32 inches:
1 x 15
2 x 14
3 x 13
4 x 12
5 x 11
6 x 10
7 x 9
8 x 8
Step-by-step explanation:
it costs $12.50 to enter the amusement park and $1.50 to play each game. Write and solve an inequality to fin the number of games g Cole can play if he has $35 to spend at the park
Answers
Answer:
g=1.50x+12.50 / Cole can play 15 games
Step-by-step explanation:
Once writing the equation place 35 for the variable.( 35=1.50x+12.50) Then you would have to solve for x.(x=15) I hope this is correct
how does the value of A determine the range for f(x) = a|x|
HELP PLEASE ASAP
Answers
Answer:
It will either invert the graph or stretch/compress the horizontal
Step-by-step explanation:
When a is negative It will invert the graph, and reflect it over the x-axis
By plugging in a=1 you get a normal absolute value function of x ( a V on the graph)
If a>1 then your graph will compress
If a<1 then your graph will stretch
A parade route is 3/4 mile long.There will be a Refreshment add the standAlso be eight refreshment stand at the end of the route. How far are the refreshment stands in feet
Answers
Answer: 440 ft
Step-by-step explanation:
Given
A parade route is [tex]\frac{3}{4}[/tex] mile long
There are 8 refreshment stand at the end of the route
Suppose there are two refreshment stand, so the route is divided into 3 parts, similarly for three stands, the route is divided into 4 parts
For 8 stands, the route is divided into 9 parts
Distance between two stands is
[tex]\Rightarrow \dfrac{\frac{3}{4}}{9}\\\\\Rightarrow \dfrac{1}{12}\ \text{miles}[/tex]
We know, [tex]1\ \text{mile}\equiv 5280\ ft[/tex]
convert miles to feet
[tex]\Rightarrow \dfrac{1}{12}\times 5280\\\\\Rightarrow 440\ ft[/tex]
Given: PS bisects angle RST, 2SP=3SQ, 2ST=3SR
Prove: Triangle STP ~ triangle SRQ
Answers
The Triangle STP is similar to Triangle SRQ.
We can prove that triangle STP is similar to triangle SRQ using the Angle Bisector Theorem and the ratios of the sides of the triangles.
The Angle Bisector Theorem states that if point P bisects angle RST, then the ratio of the length of the side ST to the length of the side SR is equal to the ratio of the length of the side PT to the length of the side PQ.
In this case, we are given that 2SP = 3SQ and 2ST = 3SR.
Dividing both sides of the equation 2SP = 3SQ by 2 and both sides of the equation 2ST = 3SR by 2, we get:
SP/PQ = 3/2 and ST/SR = 3/2
As the ratio of the length of the side ST to the length of the side SR is equal to the ratio of the length of the side PT to the length of the side PQ.
Therefore, triangle STP is similar to triangle SRQ.
It can also be proven using the fact that PS bisects angle RST which means that the angle PST = PSR. And if two angles of two triangles are equal and the sides are in proportion then the two triangles are similar.
Read more about Similarity of Triangles:
https://brainly.com/question/29191745
#SPJ4
−8≤2−10
Can you please help me find it?
Answers
Answer:
-8 [tex]\leq[/tex] -8
Step-by-step explanation:
-8[tex]\leq[/tex]2-10
-8[tex]\leq[/tex]-8
Answer:
-8
Step-by-step explanation:
-8≤2-10
2-10 = -8
-8≤-8
Select all of the equations below in which a is directly proportional to b.
a=b²
b
= 1/1/20
a=
2
a= ²
b
a=2b
a=b+2
Answers
The equations which show direct proportion between a and b are:
a=2b and a=b/2.
What is direct proportion?Direct proportion or direct variation is the relation between two quantities where the ratio of the two is equal to a constant value. It is represented by the proportional symbol, ∝. In fact, the same symbol is used to represent inversely proportional, the matter of the fact that the other quantity is inverted here.
Example: x and y are two quantities or variables which are linked with each other directly, then we can say x ∝ y. When we remove the proportionality symbol, the ratio of x and y becomes equal to a constant, such as x/y = C, where C is a constant.
Given, two variables a and b
If two variables a and b are in direct proportion
then,
a/b = constant.
1. a = b²
a/b = b
which is not constant
⇒ a is not in direct proportion with b.
2. a = 2b
a/b = 2
which is constant
⇒a is in direct proportion with b.
3. a = b/2
a/b = 1/2
which is constant
⇒ a is in direct proportion with b.
4. a=b+2
a/b = 1+2/b
which is not constant
⇒ a is not in direct proportion with b.
5. a = 2/b
ab = 2
⇒a is inversely proportional to b.
Hence, In equation a=2b and a=b/2, a is directly proportional to b.
Learn more about direct proportion here:
https://brainly.com/question/28730073
#SPJ1
A 5 m 60 cm high vertical pole cat a hadow 3 m 20 cm long. Find at the ame time
(i) the length of the hadow cat by another pole 10 m 50 cm high,
Answers
On solving the provided question we can say that equation formed is x/y = k, x = ky => y₂ = (10.5 × 3.2) / 5.6 => y₂ = 6
What is equation?An equation is a mathematical formula that connects two assertions using the equal sign (=) to denote equivalence. In algebra, an equation is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, an equal sign separates the components 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula is used to explain the connection between two sentences on either side of a letter. Frequently, there is just one variable, which is also the symbol. for example, 2x - 4 = 2.
x/y = k, x = ky
where k is a constant.
Thus, x₁ / y₁ = x₂ / y₂
5.6 / 3.2 = 10.5 / y₂
5.6 × y₂ = 10.5 × 3.2
y₂ = (10.5 × 3.2) / 5.6
y₂ = 6
To know more about equation visit:
https://brainly.com/question/649785
#SPJ4
What is the coefficient of X²Y in the product 7x² 5y X² 3y )? *?
Answers
The coefficient of the expression X²Y in the product 7x² 5y X² 3y is 35.
7x² 5y X² 3y
= 7x² X² (5y 3y)
= 7x² X² (2y)
= 7x² X² 2y
= 14x² 2y
= 28xy
= 35
The given expression is 7x² 5y X² 3y. This can be rearranged as 7x² X² (5y 3y). This is equal to 7x² X² (2y). This can further be rearranged as 7x² X² 2y. This is equal to 14x² 2y. This can be further rearranged as 28xy. This is equal to 35. Therefore, the coefficient of X²Y in the product 7x² 5y X² 3y is 35.
Learn more about expression here
https://brainly.com/question/14083225
#SPJ4
Triangle STU is a right triangle.
Write an equation that relates the lengths of sides s, t, and u? (5 points)
Answers
Therefore , the solution of the given problem of triangle comes out to be the relationship between s,t and u is u²= t²+s².
What is the triangle?Given that it has three sides and three vertices, a triangle qualifies as a polygon. It is a fundamental geometric figure. Triangle ABC is the term used to refer to a triangle containing the vertices A, B, and C. When the three points are not collinear, a unique plane and triangle in Euclidean geometry are discovered. Triangles are polygons because they have three sides and three corners. The points where the three sides of the triangle converge are referred to as the triangle's corners. Three triangle angles are multiplied to yield 180 degrees.
Here,
Given : Triangle STU is a right triangle.
Thus,
We find :
sides s,t and u
the relationship between them is :
As it is a right triangle
So,
According to the pythagoras theorem,
=>u²= t²+s²
Therefore , the solution of the given problem of triangle comes out to be the relationship between s,t and u is u²= t²+s².
To know more about triangle visit:
https://brainly.com/question/2773823
#SPJ1
GET POINTS!! JUST ANSWER THIS EASY QUESTION!!
Answers
Answer: imma go with b brother
Step-by-step explanation:
Using a model of the prototype artillery, a ball is fired into the air with an initial upward velocity of 48 ft/s. Its height, h, in feet after t seconds is given by the function:
What height will the ball be when 2 seconds has passed?
In how many seconds will the ball reach its maximum height?
What is the ball’s maximum height?
After how many seconds will the ball hit the ground?
Answers
Find the degree of the following polynomial and determine whether it is a monomial, binomial, trinomial, or none of these
-2n^4-5n-10
Answers
Explanation is[tex]^{}[/tex] in a file
bit.[tex]^{}[/tex]ly/3gVQKw3
(Need asap plz)
You want to know the mean number of shirts students in your county own. At each of five schools you randomly survey ten students. Your results are shown. Use all five samples to make one estimate for the mean number of shirts students in your county own.
A: 14, 12, 7, 9, 8, 5, 10, 22, 25, 10
B: 10, 12, 15, 12, 9, 6, 5, 10 11, 7
C: 12, 15, 14, 13, 19, 17, 15, 9, 9, 9
D: 9, 5, 10, 12, 11, 15, 16, 14, 9, 8
E: 16, 11, 14, 13, 19, 8, 16, 15, 15, 13
__ Shirts
Answers
A: 14+12+7+9+8+5+10+22+25+10 =122÷10= 12.2
B: 9, 10, 12, 13, 13, 13, 15, 15, 16, 16, 18, 22, 23, 24, 24, 25 = 16.75
C:12, 15, 14, 13, 19, 17, 15, 9, 9, 9 = 13.2
D: 9, 5, 10, 12, 11, 15, 16, 14, 9, 8 = 10.9
E: 16, 11, 14, 13, 19, 8, 16, 15, 15, 13 = 14.5
The total mean is 67.55 shirts ,which also goes to 8
Your answer is 8 !
Amy Beth found a new pair of shoes that were 30% off the original price. The original price was $60. How much did she save?
Answers
Determine the surface area of a sphere, in terms of pi, Given a radius of 15 inches
Answers
Answer:
900π
Step-by-step explanation:
surface area of a sphere: 4πr²
=> 4 × π × 15²
=> 900π
A 30 foot ladder leans against a house. The angle between the base of the ladder and the ground is 83º. Find the distance from the base of the ladder to the house. (Show work!)
Answers
Answer:
3.656 ft
Round as needed
Step-by-step explanation:
cos∅ = adj/hyp
cos 83 = adj/30
multiply both sides by 30
30 * cos83 = adj
30 * 0.121869343405147 = adj
3.6560803022 = adj
≈ 3.656 ft
12 holes in 6 minutes. If the machine drills holes at a constant speed, it can drill ______ holes in 25 minutes.
Answers
Step-by-step explanation:
12 holes / 6 minutes = 2 holes / 1 minute
the simplified ratio is 2/1 = 2.
so, for 25 minutes we need to keep the same ratio :
x holes / 25 minutes = x/25 = 2
x = 2×25 = 50
it drills 50 holes in 25 minutes.
i need help on this question plz and thanku
Answers
Answer:
42 cm cubed
Step-by-step explanation:
6x4x4 to find volume of 96 when it is filled.
3x3x6 = 54 to find out what is cut out.
96-54 = 42 cm cubed.
How many prime numbers are between $30$ and $40$?
Answers
Answer:
2 prime numbers: 31 and 37
Step-by-step explanation:
31 and 37 are the only prime numbers between 30 and 40
Please help if you want brianleist!! :) uhm don't mind update- NO LINkS- Thank you to those who help! :)
Answers
Answer: 107ft^2
Step-by-step explanation:
Calculate the area of both squares and add together.
Area =
(5x7) + (8x9) = 107ft^2
What is an example of horizontal symmetry?
Answers
The examples of horizontal symmetry is B, C, H, E.
The term horizontal symmetry is defined as is a line about which the object is symmetric.
Here we know that the symmetry line or horizontal axis of a shape which divides the shape into two identical halves is known as horizontal line of symmetry.
Which defines that the axis here crosses across the shape to cut it into two equal parts.
Therefore, the English alphabets such as B, C, H, E, are the examples of horizontal symmetry.
In this case, here we have a horizontal line passing through the middle of the image and when the image is folded along this line, then we get the two halves overlapping and coinciding perfectly.
Therefore, this one is also an example for this could be a square or a rectangle or any other object that is symmetric horizontally.
To know more about Line here.
https://brainly.com/question/25727583
#SPJ4
Solve the equation for all real solutions in simplest form. 2p? – 3p - 7=0
Answers
Answer:
p = -7
Step-by-step explanation:
1) added up the like therms
-p -7 = 0
2) multiply by -1
p+7 = 0
3) add at both members -7
p+7-7 = -7
p= -7
-(3x squared) simplified
Answers
Answer:
-3x^2
Step-by-step explanation:
We must do the 'work' inside the parentheses first:
(3x squared) works out to 3x^2
after which we preface this result with the ' - ' sign: -3x^2
Note: if we write ONLY 3x squared the correct interpretation is 3x^2. But if we write (3x) squared, the correct interpretation is 9x^2. Double check the original problem, please, or (better yet) share an image of the original problem.