Here is a solid prism.
(c) (i) Write down the mathematical name of this prism.
(ii)How many vertices does the prism have?
Answers
Answer:
It is called a rectangular prism
It has 8 vertices
Related Questions
A right triangle has a 30° angle and the adjacent side to
the angle of length 6, draw the triangle and label all
sides and angles. Round to the nearest tenth.
Answers
Answer
let the triangle be supposed ABC
where angle BAC is 30 degree and angle ACB is 60 degree and where we know that angle ABC is right angled triangle which means angle ABC = 90 degree
the base side of triangle is 6cm which means ;
By taking angle A as reference angle
Hypotenuse = AC = x(let)
perpendicular = BC
base = AB = 6 cm
then by taking base and hypotenuse
b/h = AB/AC
or, cos (30 degree)= 6/ x
x =[tex]4\sqrt{x} 3[/tex] cm
that concluded that AC = [tex]4\sqrt{3}[/tex] cm
Now,
by phythagorous theorem,
[tex]h^{2} = p^{2} + b^{2}[/tex]
[tex]AC =\sqrt{AB^{2} + BC^{2} } AC = \sqrt{6^{2} + 4\sqrt{3} ^{2}} \\AC = 2\sqrt{21 } cm[/tex]
so, the length of side AB is 6 cm , BC is 4[tex]\sqrt{3}[/tex] cm and AC is 2[tex]\sqrt{21}[/tex] cm
Step-by-step explanation:
5/6 + 7/8 + 3/4
i need help
Answers
Answer:2 11/24
Step-by-step explanation:
Answer:
2.4583
Step-by-step explanation:
I helped you.
First
5÷6 and 7÷8 and again similarly 3÷4 and sum the all outcome come from these eqations
A gift box has the shape of a rectangular prism. How much wrapping paper do you need to cover the box?
Thanks in advance!
Answers
Answer:
852 inches square
Step-by-step explanation:
2×(16×15 + 16×6 + 15×6)
Answer:
652 in²
Step-by-step explanation:
The formula is 2(wl+hl+hw)
h is height
w is width
l is length
Use PEMDAS/BIDMAS/BODMAS (do the parentheses then multiply it)
326*2 = 652
add your units
652 in^2
2+x5-3=(2+)x(5-3) is the equation true or not show work why
Answers
3 + 2[4x – (4 + 3x)] = –1
3 + 2[4x – 1(4 + 3x)] = –1
3 + 2[4x – 1(4) – 1(3x)] = –1
3 + 2[4x – 4 – 3x] = –1
3 + 2[1x – 4] = –1
3 + 2[1x] + 2[–4] = –1
3 + 2x – 8 = –1
2x + 3 – 8 = –1
2x – 5 = –1
2x – 5 + 5 = –1 + 5
2x = 4
x = 2
It is not required that you write out this many steps; once you get comfortable with the process, you'll probably do a lot of this in your head. But until you reach that comfort zone, you should write things out at least this clearly and completely.
Always remember, by the way, that you can check your answers in "solving" problems by plugging the numerical answer back in to the original equation. In this case, the variable is only in terms on the left-hand side (LHS) of the equation; my "check" (that is, my evaluation at the solution value) looks like this:
LHS: 3 + 2[4x – (4 + 3x)]:
3 + 2[4(2) – (4 + 3(2))]
3 + 2[8 – (4 + 6)]
3 + 2[8 – (10)]
3 + 2[–2]
3 – 4
–1
Since this is what I was supposed to get for the right-hand side (that is, I've shown that the LHS is equal to the RHS), my solution value was correct.
need help with this one lol
Answers
Answer: 5 + 47 = 108
Step-by-step explanation: dont worry it works
Answer:
pythagoras thoerem
Step-by-step explanation:
y squared = 10 squared - 7 squared
y = 100 - 49= 51
y square root of 51 =7.1
If the volume of the cylinder is 502.4 in?, what is the radius of
the base of the cylinder? Use 3.14 for i and enter your answer
as a whole number.
h=10 in
r= in.
Answers
Answer:
radius of the base of cylinder = 4 in
Step-by-step explanation:
Volume of cylinder = pi x r² × h
502.4 = 3.14 x r² x 10
502.4 = 31.4 x r²
r² = 502.4/31.4
r² = 16
r = 4 in
help pls Evaluate.
169−−−√
Enter your answer in the box.
Answers
Answer:
square root is 13
Step-by-step explanation:
Answer:
13!
Step-by-step explanation:
i used my calculator and did the test k-12! its right!
Which of the following are characteristics of a tortoise in a desert environment that distinguish the tortoise as a living thing?
Choose the THREE that apply.
A. It needs food.
B. It reproduces.
C. It uses energy.
D. It takes up space.
E. It is made up of atoms.
Answers
Answer:
A.
B.
E.
Step-by-step explanation:
hope this helps ❤️
B.
A.
E.
It’s not c because there are many things that can contain energy
Which equation represents a line which is perpendicular to the line
7x + 3y = -18?
Answers
Answer:
c y=6x+4
Step-by-step explanation:
Hope this helps you
f(x) = x2. What is g(x)?
Help me please
Answers
Answer:
Answer is B
Step-by-step explanation:
Answer:
The answer is B
Step-by-step explanation:
The answer is B
Please help I can’t understand
My brain is gonna explode
No joke I’m serious
Answers
I search it but I failed sorry
for not answering I just don't know
5. Bryce gets a monthly allowance of $10 plus $1 for each
additional chore.
A) Determine if the situation is linear or not.
B) Determine if the situation is proportional or not.
C) Determine if the situation is a function or not.
How can you tell? Be sure to use the words input, output, slope and y-intercept in your
explanation.
Answers
Please answer correctly! I will mark you Brainliest!
Answers
Answer:
d=18 feet
Step-by-step explanation:
The volume of a sphere is represented by the equation [tex]V=\frac{4}{3}\pi r[/tex]³, where r is the radius. If the volume is 972[tex]\pi[/tex],
[tex]972\pi =\frac{4}{3}\pi r[/tex]³
Divide [tex]\pi[/tex] from each side,
[tex]972=\frac{4}{3} r[/tex]³
Multiply each side by 3/4 to get rid of the fraction,
[tex]r[/tex]³[tex]=729[/tex]
Using the cube root, we find that 729 is actually a perfect cube.
[tex]r=9[/tex]
Now, the diameter is 2 times the radius, so
9×2=18
So, the measure of the diameter is 18 feet.
A restaurant used 231 eggs last week. 46 of them are colored white, w. The remaining eggs are colored brown.Write an equation that represents the situation.
Answers
Answer:
46 + W = 231
Step-by-step explanation:
Answer:
231-W=amount of brown eggs (185)
Step-by-step explanation:
1. 2
given that c = 2πr an, write an expression
for r.
Answers
Answer:
r = c / 2π
Step-by-step explanation:
c = 2πr is the formula for the circumference of a circle of radius r.
We can solve this for r:
r = c / (2pi)
or
r = c / 2π
can anyone answer this? thanks :)
Answers
Answer:
39°
Step-by-step explanation:
The sum of AXE, AXC and CXF will be 180 because they together span a straight line (EF).
So: y + 90 + y - 12 = 180, which is an equation you can solve by simplifying it:
y + 90 + y - 12 = 180
2y + 78 = 180
y + 39 = 90
y = 90 - 39 = 51
So AXE = 51
AXC = 90
CXF = 51-12 = 39 (the answer)
Check: 51+90+39 = 180
5. Write a function of the form f(x) = - + k with a vertical asymptote at x = -15 and a horizontal asymptote of y = -6.
Answers
There are 35 green, 22 white, 30 purple and 14 blue gumballs in the gumball machine.
Sharee wants to get a white or green gumball.
What is the probability of getting a white or green gumball?
Answers
Answer:
The probability of getting a white or green gumball is 35.64%.
Step-by-step explanation:
1. calculate the total number of gumballs in the gumball machine
35 + 22 + 30 + 14 = 101 gumballs
2. calculate the number of white and green gumballs combined
22 + 14 = 36 w/g gumballs
3. divide the number of white and green gumballs combined by the total number of gumballs in the gumball machine
36 / 101 = 0.3564
Answer: the probability of getting a white or green gumball is 35.64% (0.3564).
Probability is the chance of occurring an event from the total possible outcomes.
The probability of getting a white or a green gumball is 57/101.
What is probability?It is the chance of occurring an event from the total possible outcomes.
We have,
Green gumballs = 35
White gumballs = 22
Purple gumballs = 30
Blue gumballs = 14
Total gumballs = 35 + 22 + 30 + 14 = 101
The combination is given by:
= [tex]^nC_{r}[/tex]
= n! / r! (n-r)!
The probability of choosing a white gumball:
= [tex]\frac{^{22}C_{1}}{^{101}C_{1} }[/tex]
= 22 / 101
The probability of choosing a green gumball:
= [tex]\frac{^{35}C_{1}}{^{101}C_{1} }[/tex]
= 35 / 101
The probability of getting a white or a green gumball:
= 22/101 + 35 / 101
= (22 +35) / 101
= 57 / 101
Thus the probability of getting a white or a green gumball is 57/101.
Learn more about probability here:
https://brainly.com/question/11234923
#SPJ5
The graph of the function f(x) = ax^2 + bx + c has vertex at (0, 2) and passes through the point
(1, 8). Find a, b and c
Answers
Answer:
Step-by-step explanation:
You need to use vertex form of a quadratic to solve this.
Consider the vertex to be [tex](h,k)[/tex]
Another way of representing a quadratic is in "vertex form":
[tex]f(x) = a(x-h)^2+k[/tex]
Now all you have to do is solve for a. You know that the vertex is [tex](0,2)[/tex] and you have know the point of [tex](1,8)[/tex]. Now, all you have to do is plug in these values and solve for a.
[tex]8 = a(1-0)^2+2\\8=a(1)^2+2\\8=a+2\\a=6[/tex]
Now you know the equation is [tex]f(x) = 6(x-0)^2+2[/tex] , but you need it in quadratic form. All you have to do is solve is distribute the 6:
[tex]6x^2+2[/tex]
You get:
a = 6
b = 0
c = 2
Please mark this as brainliest if it satisfies your question
Ming le invited 12 people to her chrismas party.(that is,there are total 13 people at her party )Each person have each other person a present.How many presents were given
Answers
Answer:
There will be 13 gifts given in the party.
Step-by-step explanation:
Given that Ming invited 12 people to her chrismas party, with a total of 13 people at her party, and each person have each other person a present, to determine how many presents were given the following logical reasoning must be performed:
Given that there are 13 people at the party, and each of them will bring a gift, by mathematical logic there will be 13 gifts distributed in the party.
Find the volume of a right circular cone that has a height of 9.7 ft and a base with a
radius of 7.6 ft. Round your answer to the nearest tenth of a cubic foot.
Answers
Height =9.7ft
Radius=7.6 feet
Volume of a cone =pai r2 h/3 =3.14×57.76×9.7÷3 =586.4103(roundoff)=586ft
A 13 foot ladder is leaning against the wall of a house. The ladder is 5 feet away from th
base of the house. How high up the house does the ladder reach?
Answers
Answer:
12 feet
Step-by-step explanation:
8^x=1 Please solve for x.
Answers
Answer:
[tex] {8}^{x} = 1[/tex]
The exponent 0 makes the number as 1.
[tex]x = 0[/tex]
Answer:
the answer for x is = 0
Step-by-step explanation:
hope this helps
Find ZUWT helpp plzz dont put links
Answers
Answer:
i can't see clear
A ship sails 20 km due East, then 12 km due South.
Find the bearing of the ship from its initial position.
Give your answer correct to 2 decimal places.
Answers
Answer:
Step-by-step explanation:
20km east - 12km south= 8km east
Answer:
its 120.96
Step-by-step explanation:
i dont have any but i know that is the answer
Help me please it’s due today
Answers
Answer:
1. B. $20
2.C. 19%
3. D. not here
Step-by-step explanation:
1. info we know
25+45+10+25+15+10 = 130
we need 20 more dollars
2. 25/130 x/100
cross multiply
2500/ 130x
divide
19 = x
3. same steps as last time
35/130 x/100
3500/130x
29%
Which pairs of polygons are congruent? A. pairs 1, 2, 3, and 4 B. pairs 1 and 4 C. pairs 1, 2, and 3 D. pairs 2 and 4
Answers
Pair 2 are the same size and shape
Pair 4 are same size and shape
Pair 1 is different size different shape
Pair 3 is different size same shape
One year of classes at the University of Texas at Austin costs $10,700.
Georgio has received a grant that will pay $700 and a scholarship for
$5,500. He wants to get a job to pay 40% of the remainder of the costs
and borrow the rest of the money. How much does he need to earn on
his job, and how much will he need to borrow?
O
Georgio has to earn $1,600 and borrow $2,700.
Georgio has to earn $1,800 and borrow $2,700.
Georgio has to earn $1,800 and borrow $2,300.
Georgio has to earn $1,600 and borrow $2,300.
Answers
Answer:
Georgio has to earn $1,800 and borrow $2,700.
- Which is the inverse or the funcion f(x)=x²-16?
Answers
Given:
The function is:
[tex]f(x)=x^2-16[/tex]
To find:
The inverse of the function.
Solution:
We have,
[tex]f(x)=x^2-16[/tex]
Step 1: Substitute [tex]f(x)=y[/tex].
[tex]y=x^2-16[/tex]
Step 2: Interchange x and y.
[tex]x=y^2-16[/tex]
Step 3: Isolate y.
[tex]x+16=y^2[/tex]
[tex]\pm \sqrt{x+16}=y[/tex]
[tex]y=\pm \sqrt{x+16}[/tex]
Step 4: Substitute [tex]y=f^{-1}(x)[/tex].
[tex]f^{-1}(x)=\pm \sqrt{x+16}[/tex]
Therefore, the inverse function of the given function is [tex]f^{-1}(x)=\pm \sqrt{x+16}[/tex].
Use these functions to answer this question.
P(x) = x2
– x – 6
Q(x) = x – 3
What is P(x) – Q(x)?
A. x2
– 3
B. x2
– 9
C. x2
– 2x – 3
D. x2
– 2x – 9
no linkss,,,,
Answers
Given:
The two functions are:
[tex]P(x)=x^2-x-6[/tex]
[tex]Q(x)=x-3[/tex]
To find:
The function [tex]P(x)-Q(x)[/tex].
Solution:
We need to find the function [tex]P(x)-Q(x)[/tex].
[tex]P(x)-Q(x)=(x^2-x-6)-(x-3)[/tex]
[tex]P(x)-Q(x)=x^2-x-6-x+3[/tex]
[tex]P(x)-Q(x)=x^2+(-x-x)+(-6+3)[/tex]
[tex]P(x)-Q(x)=x^2-2x-3[/tex]
Therefore, the correct option is C.