Answer:
5x (3x + 2)
Step-by-step explanation:
15x² + 10x
5x (3x + 2)
What is the relationship between the number of sides of the base of a prism and the number of lateral faces? The number of sides of the base of a prism is less than the number of lateral faces. The number of sides of the base of a prism and the number of lateral faces is equal. The number of sides of the base of a prism is greater than the number of lateral faces. There is no consistent relationship between the number of sides of the base of a prism and the number of lateral faces.
Answer:
Every prism has as many faces, and edges, as its base has sides. Thus, a prism with an octagonal (eight sided) base has eight lateral faces, and eight lateral edges. Each lateral face meets two other lateral faces, as well as the two bases. As a consequence, each lateral face is a four sided polygon.
The number of sides of the base of a prism and the number of lateral faces is equal.
What is a prism?A prism is a three-dimensional object with two congruent and parallel faces, called the bases and it encloses the space between the bases. Every cross-section parallel to the base of a prism is congruent to its base.
How do we solve the given question?In the question, we are asked to tell the relationship between the number of sides of the base of a prism and the number of lateral faces.
We let the number of sides of the base of the prism be s, and let the number of lateral faces of the prism be f.
We know that a prism has two parallel and congruent bases and every corresponding side of the base are connected by a pane. These planes are the lateral faces of the prisms. As each corresponding pair of sides is connected by one lateral face, the number of the lateral face is equal to the number of sides of the base.
∴ The number of sides of the base = The number of lateral faces of the prism
or, s = f.
∴ We can say that the number of sides of the base of a prism and the number of lateral faces are equal.
Learn more about prisms at
https://brainly.com/question/1297098
#SPJ2
You have 4 blue shirts, 6 white shirts,
2 green shirts, and 6 red shirts.
What is the probability of selecting a BLUE
shirt from your dresser?
Please help me!! I’ll give you brainliest if you give me a good answer :(
Answer:
4.5%
Step-by-step explanation:
Can you help me please I’ll mark you brainliest
Answer:
4
Step-by-step explanation:
Since its a 45-45-90 triangle then the 2 legs are going to be the same.
Answer:
90°
Step-by-step explanation:
Always remember that the sum of all angles is 180°.
So there are two 45° angles, so just add them up and you get 90
So if you subtract 90 from 180, you get 90, and that's your answer
PLEASE HELP The diameter D of a sphere is 19 m. Calculate the sphere's surface area A.
Use the value 3.14 for at, and round your answer to the nearest tenth.
Answer:
A = 1,133.5 m³
Step-by-step explanation:
Surface area of a sphere, A = 4πr²
π = 3.14
Radius, r = diameter / 2
= 19 m / 2
= 9.5 m
Surface area of a sphere, A = 4πr²
A = 4 * 3.14 * (9.5)²
= 4 * 3.14 * 90.25
= 1,133.54
A = 1,133.54 m³
To the nearest tenth
A = 1,133.5 m³
√-1
factor completely without any 'i'
Answer:
the root of -1 is -1
Step-by-step explanation:
When multiplied by itself, the root is typically a specified number of times gives a specified number or quantity. So -1 × -1 = -1
So there you go
Show that each statement is false by providing a comterexample
Answer:
Step-by-step explanation:
One
Length = 16
Width = 1
Two
<P = 120
<Q = 30
<R = 30
Three
xy = 45
yz = 1
Four
<1 = 45
<2 = 45
Whats the area of the rectangle?
Length: 2 1/7
width: 3 1/3
I dont need an explanation just the simplified answer
Answer:
The area of rectangle is "31 units²".
Step-by-step explanation:
The given values are:
Length of rectangle,
= [tex]\frac{21}{7}[/tex]
Width of rectangle,
= [tex]\frac{31}{3}[/tex]
As we know,
The area of rectangle is:
= [tex]Length\times width[/tex]
On substituting the values, we get
= [tex]\frac{21}{7}\times \frac{31}{3}[/tex]
= [tex]\frac{217}{7}[/tex]
= [tex]31 \ units^2[/tex]
PLEASE HELP ASAP! WILL MARK BRAINLIEST
Answer:
C.
Step-by-step explanation:
A company sells fruit smoothies in two sizes: 6 ounces and 20 ounces. You know that a 6-ounce bottle contains 96 milligrams of sodium. If the amount of sodium is directly proportional to the fluid ounces of smoothie, how many milligrams of sodium does a 20-ounce bottle contain?
And can yall put an explanation please
Answer:
320 milligrams of sodium
Step-by-step explanation:
Create a proportion where x is the milligrams of sodium a 20 ounce bottle has:
[tex]\frac{96}{6}[/tex] = [tex]\frac{x}{20}[/tex]
Cross multiply and solve for x
1920 = 6x
320 = x
So, a 20 ounce bottle will have 320 milligrams of sodium
The function y = 125(1.13)x represents Mr. Clark's recent investments where x is measured in years. Which is NOT true? A Mr. Clark's money grows by 13% per year b Mr. Clark earns more money in year one than in year 5 c After 4 years Mr. Clark will have about $203.81 d Mr. Clark's initial invested $125
Answer:
Mr. Clark earns more money in year one than in year 5
Step-by-step explanation:
Write a ratio and a percent for the shaded area.
6/100 - 60%
6/10 - 60%
12/20 - 60%
36/100 - 36%
Two students are going to guess on their next quiz. Adam has two multiple choice questions, each with five options: A, B, C, D and E. Zach has three TRUE/FALSE questions. Who has the better
chance of doing well? Explain your thought process.
Answer:
Zach
Step-by-step explanation:
it's most likely Zach will be able to get the right answer
more easily then Adam since he can try to guess it more easily???
I'm not good at explaining but yeah -
35 POINTS PLEASE HELP ME. Tell whether each triangle with the given side lengths is a right triangle.
11, 60, 61
Answer:
Step-by-step explanation:
no not right angle
Bella rolls 2 number cubes 60 times. How many times can she expect the sum of the numbers to be greater than 10?
Answer:
of the 36 possible outcomes, only 3 sum to 11 or 12.
Answer:
12 times
Step-by-step explanation:
becuase 60×2÷10=12
Give an example of a number that has many factors and an example of a number that has few factors.....
Answer:
42: 1, 2, 3, 6, 7, 14, 21, 42
43: 1, 43
Step-by-step explanation:
ok ik but i need help with this i think i got it tho -275=2x -50
Answer:
-112.5
Step-by-step explanation:
2x - 50 = -275
2x = -225
x = - 112.5
Answer:
x = -225/2 (or) -112.5
Step-by-step explanation:
Now we have to,
→ Find the required value of x.
The equation is,
→ -275 = 2x - 50
Then the value of x will be,
→ -275 = 2x - 50
→ 2x - 50 = -275
→ 2x = -275 + 50
→ 2x = -225
→ x = -225/2
→ [ x = -112.5 ]
Hence, value of x is -112.5.
Acellus
Find the area of the following
parallelogram:
1.5 cm
2.5 cm
2.25 cm
A= [?] cm?
Enter the exact answer as a decimal.
Enter
Answer:
Question:Find the area of the following
parallelogram:
1.5 cm
2.25 cm
Solution:[tex] \huge\fbox\purple{Area = Product of the given 2 sides}\ [/tex]
(1.5×2.25)cm²= 3.375 cm²Hope it helps
-------☆ﾟ.･｡ﾟᵴɒƙυᴚᴀ_ƨȶäᴎ❀
Step-by-step explanation:
[tex]3.375 \: {cm}^{2} [/tex]
I hope it helps
have a great day
#Captainpower
PLEASE HELP ASAP!!! NO LINKS!!!
Answer:
B
Step-by-step explanation:
If the dimensions of the following cylinder are quadrupled, what will be the surface area of the new similar cylinder?
13,816 in. 2
85,106.56 in. 2
6,908 in. 2
27,632 in. 2. I WILL GIVE BRAINLIEST!
Answer:
27,632
Step-by-step explanation:
In the comments that is the answer to the next question but the answer for this question is 27632 in.^2
Can someone plz help me with this one problem plz!!!
Answer:
105 sqaure kilameters
Step-by-step explanation:
Cuanto equivale 1.9 en fracción
Answer:
1 9/10
Step-by-step explanation:
Michelle invests $1000 at a bank offering 3% compounded quarterly.
Answer:
A = 1000(1 + .03 /4)4t
Explanation:
The money invested is the principal that is $ 1000.
The quarterly interest = 3/4 = 0.75 %
Assuming the number of years the money invested was x, then the interest period (n) will be 4 x (quarters)
Using the formula, A = P (1 + r/100)∧n
Therefore, the growth of the investment will be given by
1000( 1.0075)∧n, where n is the interest period.
PLEASE HELP ME
Which situation can be represented by this equation?
6 + 0.50x = 26
Anne earns money walking dogs. She charges $6 per walk plus $0.50 per dog. What is x, the amount of money Anne charges to take one dog on 26 walks?
Anne pays $6 to enter a carnival and $0.50 for every ride she goes on at the carnival. What is x, the number of rides Anne can go on if she has $26 to spend at the carnival?
Anne earns $6.50 per hour for babysitting. What is x, the number of hours Anne babysits if she earns $26?
Anne earns $6.50 per hour for babysitting. What is x, the number of hours Anne babysits if she earns $26?
Answer:
Anne pays $6 to enter a carnival and $0.50 for every ride she goes on at the carnival. What is x, the number of rides Anne can go on if she has $26 to spend at the carnival?
Step-by-step explanation:
Answer:
it the second situation mate
Step-by-step explanation:
hope i helped you amd it is correct..
Guests at a campground can stay in a teepee
shaped like the rectangular pyramid shown. If
the height of the teepee is 18 feet, find the total
volume of the teepee.
10 feet
15 feet
Answer:900ft
Step-by-step explanation: v=l×w×h/3 =15×10×18/3=900
If Laura were able to find a 0 iron, about how far could she hit it?
Answer:
I got 219 but I'm not sure that's the answer.
Step-by-step explanation:
Write the decimal as a percent
Answer:
3/5
Step-by-step explanation:
Answer:
66%
Step-by-step explanation:
0.6 repeating is 66%.
From decimal to percent:
To get a percent from a decimal number, move the decimal over twice to the right. In this case, 0.66 would become 66% because the decimal moved to the right twice.
From decimal to fraction to percent:
I already know that 2 divided by 3 is 0.6 repeating. 2 divided by 3 could also be written as [tex]\frac{2}{3}[/tex]. So the first step is complete, from the decimal 0.6 repeating to the fraction [tex]\frac{2}{3}[/tex]. Now from [tex]\frac{2}{3}[/tex] to a percent. If you get a 2 out of 3 ([tex]\frac{2}{3}[/tex]) you would get a 66%.
Hope this helps! Please vote me as Brainliest. Let me know if you need more of an explanation. Hope it's not too late. Good luck with whatever you are doing! Have an amazing day!
plz help need now no links
Answer: Overall, slope is positive
Step-by-step explanation:
Step-by-step explanation:
it will be c because I did the chart
HELP ME PLZ!!! This is too hard
Answer:
The solution of this trigonometric identity is [tex]\theta = 56.310^{\circ} \pm 180\cdot i ^{\circ}[/tex], [tex]\forall \,i\in \mathbb{N}_{O}[/tex].
Step-by-step explanation:
Let [tex]7\cdot \tan \theta - 8 = 5\cdot \tan \theta -5[/tex], we proceed to simplify the expression and solve afterwards either by algebraic or by trigonometric means:
[tex]7\cdot \tan \theta -8 = 5\cdot \tan \theta -5[/tex]
[tex]2\cdot \tan \theta = 3[/tex]
[tex]\tan \theta = \frac{3}{2}[/tex]
[tex]\theta = \tan^{-1} \frac{3}{2}[/tex]
The tangent is a trigonometric function with a period of 180°. Hence, we find that the family of angles associated with such value is:
[tex]\theta = 56.310^{\circ} \pm 180\cdot i ^{\circ}[/tex], [tex]\forall \,i\in \mathbb{N}_{O}[/tex]
If a jeweler buys a piece for $250 from a wholesaler and the markup is 30% what is the markup
Answer:
Markup will be 30% of 250$ =75$
Answer:
75 dollars
Step-by-step explanation:
I hope this answer helped you. I'm not gonna give a step by step explanation though
Triangle IJK, with vertices I(-9,-8), J(-5,-6), and K(-7,-3), is drawn on the coordinate grid below.
Answer:
[tex]Area= 8[/tex]
Step-by-step explanation:
Given
[tex]I = (-9,-8)[/tex]
[tex]J = (-5,-6)[/tex]
[tex]K = (-7,-3)[/tex]
The complete part of the question is to calculate the area of IJK
The area is calculated using:
[tex]Area = \frac{1}{2}|x_1y_2 - x_2y_1 + x_2y_3 - x_3y_2 + x_3y_1 - x_1y_3 |[/tex]
Where:
[tex]I = (-9,-8)[/tex] --- [tex](x_1,y_1)[/tex]
[tex]J = (-5,-6)[/tex] --- [tex](x_2,y_2)[/tex]
[tex]K = (-7,-3)[/tex] --- [tex](x_3,y_3)[/tex]
So, we have:
[tex]Area = \frac{1}{2}|(-9*-6) - (-5*-8) + (-5*-3) - (-7*-6) + (-7*-8) - (-9*-3) |[/tex]
Solve the brackets
[tex]Area = \frac{1}{2}|54 - 40 + 15- 42 + 56 - 27 |[/tex]
[tex]Area = \frac{1}{2}|16|[/tex]
The absolute value of 16 is 16
So:
[tex]Area = \frac{1}{2} * 16[/tex]
[tex]Area= 8[/tex]