Is Y = 8 proportional
Answer:
yes it is
Step-by-step explanation:
it can be written as a fraction
Select the correct answer from each drop-down menu.
The figure shown consists of a square pyramid on top of a square prism. The surface area of the figure is 432 cm2. The height of the prism is three times the height of the pyramid.
Find the heights of the pyramid and the prism.
The height of the pyramid is
cm.
The height of the prism is
cm.
Answer:
height of pyramid = 3 cm
height of prism = 9 cm
Step-by-step explanation:
Square Pyramid
surface area of 4 triangular sides of the pyramid = [tex]2a\sqrt{\dfrac{a^2}{4}+h^2}[/tex]
(where [tex]a[/tex] is the base edge and [tex]h[/tex] is the height)
Given [tex]a[/tex] = 8 cm
[tex]\implies \textsf{SA}=2\cdot8\sqrt{\dfrac{8^2}{4}+h^2}[/tex]
[tex]=16\sqrt{16+h^2}[/tex]
Square Prism
surface area of square prism with one base = [tex]a^2+4ah[/tex]
(where [tex]a[/tex] is the base edge and [tex]h[/tex] is the height)
Given [tex]a[/tex] = 8 cm and [tex]h[/tex] = 3h
[tex]\implies \textsf{SA}=8^2+4\cdot 8\cdot 3h[/tex]
[tex]=64+96h[/tex]Total surface area
total SA = SA of pyramid + SA of square prism
Given total SA = 432 cm²
[tex]\implies 432=16\sqrt{16+h^2}+64+96h[/tex]
[tex]\implies 368=16\sqrt{16+h^2}+96h[/tex]
[tex]\implies 368=16(\sqrt{16+h^2}+6h)[/tex]
[tex]\implies 23=\sqrt{16+h^2}+6h[/tex]
[tex]\implies 23-6h=\sqrt{16+h^2}[/tex]
[tex]\implies (23-6h)^2=16+h^2[/tex]
[tex]\implies 529-276h+36h^2=16+h^2[/tex]
[tex]\implies 35h^2-276h+513=0[/tex]
[tex]\implies (h-3)(35h-171)=0[/tex]
[tex]\implies h=3, h=\dfrac{171}{35}[/tex]
Inputting both values of [tex]h[/tex] into the equations for SA:
when [tex]h = 3[/tex]:
[tex]\textsf{pyramid}=16\sqrt{16+3^2}=80 \ \sf cm^2[/tex]
[tex]\textsf{square prism}=64+96(3)=352 \ \sf cm^2[/tex]
[tex]\textsf{total SA}=80+352=432 \ \sf cm^2[/tex]
when [tex]h=\dfrac{171}{35}[/tex]:
[tex]\textsf{pyramid}=16\sqrt{16+(\frac{171}{35})^2}=101.0285714... \sf cm^2[/tex]
[tex]\textsf{square prism}=64+96(\frac{171}{35})=533.0285714... \ \sf cm^2[/tex]
[tex]\textsf{total SA}=101.0285714...+533.0285714... =634.0571428... \ \sf cm^2[/tex]
Therefore, h = 3 only (since the total area is 432 cm²)
⇒ height of pyramid = 3 cm
⇒ height of prism = 3h = 3 × 3 = 9 cm
If you want to buy an item in a store that costs $50 and is on sale for 10% off, then
how much would the item actually cost you after the discount? Round to the nearest
cent.
Answer:
It would be $45.00.
Step-by-step explanation:
50 divided by 10 would be 5. Subtract that from 50 to get 45.
Answer:
$45.00
Step-by-step explanation:
If an item cost $50 and the discount is 10% then:
Convert 10% to a decimal
10/100 = .1
.1 * $50 = $5
The discount is $5, subtract the discount from the original amount.
$50 - $5 = $45
The item would cost $45.00 after the discount.
Match each statement with its symbolic notation.
Answer:
4. F
5.C
6.G
7.D
8.A
9.E
10.B
Step-by-step explanation:
(4x - 58)
(3x – 26)
(3x + 14)
Solve for x
Answer:
can't solve this
Step-by-step explanation:
What is the sum of -7 and its additive inverse?
Answer:
The sum of a number and its additive inverse is equal to 0.
Step-by-step explanation:
Hailey went to Frank's Market and bought 1 3/4 pounds of coffee at $13 a pound and 8 1/2 pounds of rice at $0.45 pero pound. If Hailey paid with a $50 Bill how much chance did she receive?
Answer: She received $18.42 as change.
Step-by-step explanation:
Given: Cost of coffee per pound = $13
[tex]1\dfrac34[/tex] pounds of coffee costs [tex]=1\dfrac34\times 13=\dfrac{4+3}{4}\times 13[/tex]
[tex]=\dfrac74\times 13\\\\=\$ 22.75[/tex]
Cost per pound of rice = $0.45
[tex]8\dfrac12[/tex] pounds of rice costs = [tex]8\dfrac12\times 0.45=\dfrac{17}{2}\times0.45[/tex]
[tex]=\$3.825[/tex]
Bill amount = $ (22.75+8.825) = $ 31.575≈ $31.58
If Hailey paid $50, then she will receive = $(50-31.58)
= $ 18.42
Hence, She received $18.42 as change.
Answer: She received $18.42 as change.
Step-by-step explanation:
Given: Cost of coffee per pound = $13
pounds of coffee costs
Cost per pound of rice = $0.45
pounds of rice costs =
Bill amount = $ (22.75+8.825) = $ 31.575≈ $31.58
If Hailey paid $50, then she will receive = $(50-31.58)
= $ 18.42
Hence, She received $18.42 as change.
Quentin recorded the weather for the past days. It rained on 28 of the days. Which fraction and decimal represent how many days it rained? 28 O A 2.8 and 100 O'B. 0-28 and 210 OC. 0.28 and 28 100 O D. 0.28 and
Answer:
I don't know which letter answer it is because it is unclear in the question, but the answer is:
28/100 for the fraction
0.28 for the decimal
If a = -4 and b= -3, work out the value of a/2+b
Given Equation Is:
[tex] \: \: [/tex]
[tex] \sf \large \frac{a}{2} + b[/tex][tex] \: \: [/tex]
Now, Put the value of a = -4 and b = -3 in given eqn .
[tex] \: \: [/tex]
[tex] \sf \large \: \frac{ - 4}{2} - 3[/tex][tex] \: \: [/tex]
[tex] \sf \large \cancel \frac{ - 4}{ \: \: 2} - 3[/tex][tex] \: \: [/tex]
[tex] \sf \large \: - 2 - 3[/tex][tex] \: \: [/tex]
[tex] \boxed { \sf \large \color{pink} \: \: \: \: \: \: \: 5 \: \: \: \: \: \: \: }[/tex][tex] \: \: [/tex]
Hope Helps!:)
The solution to the equation takes the form a/2+b, where, a = -4 and b= -3, is 4 or -5 depending on the equation used.
What is the substitution of variables into an equation?The substitution of variables takes a defined pattern. In the given question, we are to replace the following values for a and b. i.e. a = -4 and b = -3 into the equation a/2+b.
So,
If a = - 4;and b = -3Then, using the expression:
[tex]\mathbf{=\dfrac{a}{2+b}}[/tex]
The solution to the equation can be calculated as:
[tex]\mathbf{=\dfrac{-4}{2+(-3)}}[/tex]
[tex]\mathbf{=\dfrac{-4}{-1}}[/tex]
Divide both the numerator and denominator by (-1)
= 4
However, if the equation is [tex]\mathbf{\dfrac{a}{2}+b}[/tex]
The solution to the equation will be as follows:
[tex]\mathbf{\dfrac{-4}{2}+(-3)}[/tex]
= -2 - 3
= -5
Learn more about variables here:
https://brainly.com/question/24751617
#SPJ5
I need help with this!
Answer:
Dear Friend here is your answer.
i need answer now asap plzzz 25 points
Enzo is making a scale drawing of the rectangle below.
A rectangle has a length of 8 centimeters and width of 5 centimeters.
Enzo says that he can draw an enlarged rectangle that is 16 centimeters by 13 centimeters. Which explains whether Enzo is correct?
Enzo is correct because he used a factor of 2 to enlarge the rectangle.
Enzo is correct because he doubled one dimension and added the two lengths to get the other dimension.
Enzo is not correct because the enlarged rectangle should be 16 centimeters by 5 centimeters.
Enzo is not correct because he did not multiply the length and width by the same factor.
Answer:
Tjats is baout the circumfrence of nonsensical poop
Step-by-step explanation:
Answer:
what ever the first person have answer
How do I write an inequality for this?
Answer:
[tex] - 2 \leqslant x < 5[/tex]
Step-by-step explanation:
The shaded part is after - 2 and the circle is shaded which indicate that x is greater than or equal to - 2. The shaded part before the 5 and the open circle indicate that x is also less than 5.
Question in photo! (Please help with other questions!)
Answer:
b) [tex]a_{n}[/tex] = 2 + 2/5n
Step-by-step explanation:
Given :-
a = 12/5
d = 2/5
To Find :-
[tex]a_{n}[/tex]
Solving :-
[tex]a_{n}[/tex] = a + (n - 1)d
= 12/5 + 2/5n - 2/5
= 2 + 2/5n
Solution :-
b) [tex]a_{n}[/tex] = 2 + 2/5n
Helpppppp!!!!!!!!!!!$
What are the values of x and y?
Answer:
Y=45 X=90
Step-by-step explanation:
B is equal to C so it would be 45. Since the whole triangle must be 180 you subtract 45 and 45 from 180 and you get 90. Another way to tell C and B are the same is the 2 little lines on the sides.
Answer:
y=45°(angles opposite to equal sides are equal)
x+y+45=180(sum of the interior angles of a triangle is 180)
x+45+45=180
y+90=180
y=180-90
y=90
Step-by-step explanation:
solve pls brainliest
Answer:
100
Step-by-step explanation:
Lets solve this the easiest way possible :)
120/6 = 20
Now since they sold 5/6 of these copies, lets multiply the 20 by 5 to figure out how much they sold.
20 x 5 = 100
They sold 100 copies :)
Hope this helps!!!
Have an amazing day!!
Please rate and mark brainliest!!
Answer:
100
Step-by-step explanation:
5 120
----- ------
6 1
=
600
------- = 100
6
The table gives the value of bianca’s savings account at the end of each of the first four years.
which best describes the terms of this investment?
The savings account of a person shows the amount which is immediately available to the person and this helps to create budgets and control spending.
What are Tables?This refers to the way data is arranged by showing the figures in columns for easy reading and calculations.
Please note that your question is incomplete so I gave you a general overview to help you get a better understanding of the concept.
Read more about tables here:
https://brainly.com/question/24040786
Of the relations graphed below, three are functions and one is not.
Which of the relations is NOT a function?
a.
b.
c.
d.
Please select the best answer from the choices provided
A
B
C
D
Tom host a new program the kitchen gladiator, wants to mix a dip containing 5% horseradish with one containing 20% horseradish to obtain a 24 ounce dip containing 10% horseradish, how many ounces of the 5% dip should he use?
Answer:
16 ounces
Step-by-step explanation:
x, quantity of the 5%
24-x, quantity of the 20%
5%x + 20%(24-x) = 10% of 24
.05x + .20(24-x) = .10 * 24
.05x + 4.8 - .20x = .10 * 24
4.8 -.15x = 2.4
2.4 = .15x
.15x = 2.4
x = 2.4/.15
x = 16
f(x) = -7x - 1
f() = -8
Answer:
Step-by-step explanation:
-
A geometric
sequence is defined
recursively by
an = 3an-7. The 1st
term of the
sequence is 2.7.
Write the explicit
formula for the
sequence.
HELP PLEASE
Answer:
2.7n=8.1^n-7
thank you for the lovely question
463.70
500.45
218.70
253.10
Answer:
463.70 or 500.45
mom bought a dress for 320 dollars during the big sale its original price is 400 yuan how much is the discount
Answer:
20% discount
Step-by-step explanation:
Given the following question:
20% of 400
To find the answer we will use the formula to calculate percentages, once we have that answer we then subtract it from the original price to see if we have the same new price as the question.
[tex]\frac{p\times n}{100}[/tex]
[tex]\frac{20\times40}{100}[/tex]
[tex]20\times40=8000[/tex]
[tex]8000\div100=80[/tex]
[tex]=80[/tex]
Subtract from the original price:
[tex]400[/tex]
[tex]400-80=320[/tex]
[tex]=320[/tex]
The dress has a "20% discount."
Hope this helps.
Find the surface area of the figure below.
Answer:
108 i think
Step-by-step explanation:
Answer:
108 inch.
Step-by-step explanation:
To make it a bit easier, I calculated the area of each side of the prism that was shown.
1. Start with the triangular sides: 3 × 4/2 = 6. Since there are two triangular surfaces, you add them together. In the end, you have 12 inch.
2. Calculate the surface with the dimensions 8 in. with 5 in.: 8 × 5 = 40 inch.
3. Calculate the surface with the dimensions 4 in. with 8 in.: 4 × 8 = 32 inch.
4. Calculate the surface with the dimensions 3 in. with 8 in.: 3 × 8 = 24 inch.
5. Last step - add all the results together: 12 + 40 + 32 + 24 = 108 inch.
Hope it helped!!
How to make 2.5 a fraction
As a member of a dance troupe, Anita has a costume wardrobe that consists of 2 pairs of tights (1 white pair and 1 black pair), 3 T-shirts (1 pink, 1 blue, and 1 green), and 3 scarves (1 silver, 1 gold, and 1 white). If a costume consists of either a pair of tights and a T-shirt with a scarf or a pair of tights and a T-shirt without a scarf, how many different costumes are possible?
Answer:
24
Step-by-step explanation:
24
The total number of different costumes possible is 24 if Anita has a costume wardrobe that consists of 2 pairs of tights, 3 T-shirts, and 3 scarves.
What are permutation and combination?A permutation is the number of different ways a set can be organized; order matters in permutations, but not in combinations.
We have:
Anita has a costume wardrobe that consists of 2 pairs of tights (1 white pair and 1 black pair), 3 T-shirts (1 pink, 1 blue, and 1 green), and 3 scarves (1 silver, 1 gold, and 1 white).
The costume consists of either a pair of tights or a T-shirt with a scarf:
In this case total number of ways = 2×3×3 = 18
Pair of tights and a T-shirt without a scarf:
In this case total number of ways = 2×3 = 6
Total number of different costumes are possible:
= 18 + 6
= 24
Thus, the total number of different costumes possible is 24 if Anita has a costume wardrobe that consists of 2 pairs of tights, 3 T-shirts, and 3 scarves.
Learn more about permutation and combination here:
https://brainly.com/question/2295036
#SPJ2
ONLY URSONET ANSWER|||||||
53 + 47 = 100 : simples? But those itching for their Good Will Hunting moment, the Guinness Book of Records puts Goldbach's Conjecture as the current longest-standing maths problem, which has been around for 257 years. It states that every even number is the sum of two prime numbers: for example, 53 + 47 = 100.
It's tricky because everybody is used to seeing 50+50=100
50+50=100 Its simple but when u put it like that it makes at trickier and people think its 90 or 103
Find the area of the parallelogram.
-
14 cm
14 cm
A= | cm2
Answer:
= 196 cm^2
Step-by-step explanation:
A= bh
= 14X14
= 196 cm^2
Which equations have the same value of x as Three-fifths (30 x minus 15) = 72? Select three options.
a.18 x minus 15 = 72
b.50 x minus 25 = 72
c.18 x minus 9 = 72
d.3 (6 x minus 3) = 72
e.x=4.5
Answer:
C, D and E
Step-by-step explanation:
Given equation:
[tex]\dfrac35(30x-15)=72[/tex]
Use the distributive law [tex]a(b-c)=ab-ac[/tex]:
[tex]\implies \dfrac35\cdot30x- \dfrac35\cdot15=72[/tex]
[tex]\implies \dfrac{3 \cdot30}5x- \dfrac{3 \cdot15}5=72[/tex]
[tex]\implies \dfrac{90}5x- \dfrac{45}5=72[/tex]
[tex]\implies 18x- 9=72[/tex] ← option c
Factor out common term 3:
[tex]\implies 3(6x- 3)=72[/tex] ← option d
Solve [tex]18x- 9=72[/tex]:
[tex]\implies 18x- 9+9=72+9[/tex]
[tex]\implies 18x=81[/tex]
[tex]\implies \dfrac{18x}{18}=\dfrac{81}{18}[/tex]
[tex]\implies x=4.5[/tex] ← option e
4.1 Provide with reason 6 angles that are equal to x
Step-by-step explanation:
1. ∠EBC = x (Theorem One: The angle at the centre of the circle is twice the angle at the circumference subtended on the same arc. You already have this one labelled)
2. ∠FCD = x (F rule / corresponding angles are equal)
3. ∠CAE = x (Theorem Two: Angles at the circumference subtended by the same arc are congruent)
4. ∠BED = ∠DCF = ∠FCD = x (Theorem Fifteen: The exterior angle of a cyclic quadrilateral is congruent to the interior opposite angle)
5. ∠CDF = ∠BED = x (F rule / corresponding angles are equal)
6. ∠CAE = ∠OAE = ∠OEA = x (CAE and OAE are the same angles, OF and OA are radii, thus they must both be equivalent in magnitude, therefore making the triangle ΔAOE isosceles. Base angles of an isosceles triangle are always equal, since we knew ∠OAE from '3.' was x, we found that ∠OEA was also x)