Answer:
106,392 meters squared.
Step-by-step explanation:
Surface area of a rectangular prism or cuboid is given by:
SA = 2 (lw + wh + lh)
where:
· l is the length of the cuboid.
· w is the width of the cuboid.
· h is the length of the cuboid.
Here we have h = 398 m, l = w = 62 m because this is a square base.
So we get:
SA = 2 ( 398 · 62 + 62² + 398 · 62)
= 2 (24676 + 3844 + 24676)
= 2 · 53196
= 106392 m²
simplified form
(3x+2)(4x² –5x+7)
Answer:
12x³ - 7x² + 11x + 14
Step-by-step explanation:
(3x + 2)(4x² - 5x + 7)
Each term in the second factor is multiplied by each term in the first factor, that is
3x(4x² - 5x + 7) + 2(4x² - 5x + 7) ← distribute parenthesis
= 12x³ - 15x² + 21x + 8x² - 10x + 14 ← collect like terms
= 12x³ - 7x² + 11x + 14
An umbreela is made by stitching 12 triangular piece of cloth of two different colours with each piece measuring 40cm,40cm,and 18cm.How much clothes of each is required to make the umbrella?
Answer:
(Hope this helps can I pls have brainlist (crown)☺️)
Step-by-step explanation:
In pic
can someone please help me with this
Answer:
∠ R = 58° , ∠ Q = 32°
Step-by-step explanation:
Complementary angles sum to 90°
∠ Q is 26° less than ∠ R , so ∠ Q = ∠ R - 26° , then
∠ Q + ∠ R = 90° , that is
∠ R - 26° + ∠ R = 90°
2 ∠ R - 26° = 90° ( add 26° to both sides )
2 ∠ R = 116° ( divide both sides by 2 )
∠ R = 58°
∠ Q = 58° - 26° = 32°
help pleaseeeeee!!?’dndjfjcjdc
answer: 50°
If triangle is isosceles than L and J are same angles
3x + 20 = 4x + 10
3x-4x=10-20
-x = -10 (divide both sides by -1)
x=10
angle L=J = 3*10+20= 50
we can calculate it like this too 4*10 +10= 50
if 3x - 2y = 9 , 27x³- 8y³= 1377 , prove that xy = 4
plzz answer this question...
Step-by-step explanation:
Here we are given that , the Value of
[tex] 3x - 2y = 9 [/tex] [tex] 27x^3 - 8y^3 = 1377 [/tex]And we need to find the prove that ,
[tex] xy = 4 [/tex]We know a identity as ,
[tex] (a-b)^3 = a^3-b^3-3ab(a-b) [/tex]On cubing both sides of the given equation,
[tex] (3x-2y)^3 = 9^3 [/tex]Simplify and then substitute ,
[tex] 27x^3-8y^3 -3(3x)(2y)(3x-2y ) = 729[/tex] [tex] 1377 - 18xy (9) = 729 [/tex][tex] 162xy = 1377-729 [/tex][tex] xy =\dfrac{648}{162}[/tex][tex]xy = 4 [/tex]Hence Proved !
Suppose you are selling crafts at a craft show. It costs you
$100 to rent a table. Each item costs you $4 to make. You sell
them for $10 each. How many items must you sell to break
even?
The quantity of items you must sell to break even are = 17 items.
To rent a table = $100
The cost of each item = $4
You sold each item at prize = $10
Therefore the gain for each item = 10 - 4
= $6
Therefore, the quantity of items to sell to recover the cost from renting of the table is =
[tex] \frac{100}{6} [/tex]
= 16.6 items
which is approximately = 17 items.
Learn more here:
https://brainly.com/question/21770087
Elena went to a store where you can scoop your own popcorn and buy as much as you want. She bought 10 ounces of spicy popcorn for $2.50 (before taxes).
How much popcorn can you buy per dollar?
Answer:
$ 0.25 Per Ounce of popcorn
Step-by-step explanation:
2.5 / 10 = 0.25
If 10 is the amount of ounces she got of the popcorn, and we divide the total cost by 10, that'll give us the amount for 1 ounce.
does anyone know how to do this
Answer:
(2,2)
Step-by-step explanation:
To draw a graph you find the y value for a couple of x values. For a linear equation like the one given, two points are enough because the graph is always a straight line.
First graph
First, convert the equation into the y=... form:
x - y = 0 => y = x
No choose two x values at random, e.g., 0 and 5:
for x=0, you find y=0, so (0,0) is a point on the graph
for x=5, you find y=5, so (5,5) is a point on the graph
Now plot these two points and draw a line through them.
Second graph
First, convert the equation into the y=... form:
x + y = 4 => y = 4 - x
No choose two x values at random, e.g., 0 and 5:
for x=0, you find y=4, so (0,4) is a point on the graph
for x=5, you find y=-1, so (5,-1) is a point on the graph
Now plot these two points and draw a line through them.
Porsha calculates the amount of money she will have at the end of 6 years on a $5,000 investment earning 3.75% interest compounded quarterly. She writes the following expression:5,000 (1 + 0.0375) superscript 24Which of the following statements about Porsha's expression is true?a.Porsha's expression is correct.b.Porsha's expression should have 1 + 0.009375 in the parentheses.c.Porsha's expression should have an exponent of 6, not 24.d.Porsha's expression should have both 1 + 0.009375 in the parentheses and an exponent of 6.
Using the compound interest formula, it is found that the correct option is:
b. Porsha's expression should have 1 + 0.009375 in the parentheses.
Compound interest:
[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]
A(t) is the amount of money after t years. P is the principal(the initial sum of money). r is the interest rate(as a decimal value). n is the number of times that interest is compounded per year. t is the time in years for which the money is invested or borrowed.In this problem:
Investment of $5,000, thus [tex]P = 5000[/tex].Interest rate of 3.75%, thus [tex]r = 0.0375[/tex].6 years, thus [tex]t = 6[/tex]Compounded quarterly, thus [tex]n = 4[/tex].Then, the amount is:
[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]
[tex]A(t) = 5000(1 + \frac{0.0375}{4})^{4(6)}[/tex]
[tex]A(t) = 5000(1 + 0.009375)^{24}[/tex]
Thus, her error is in the parentheses, and the correct option is:
b. Porsha's expression should have 1 + 0.009375 in the parentheses.
A similar problem is given at https://brainly.com/question/25195489
Tyler stood outside the movie theater and asked every fourth person to enter the movie theater for their favorite sport. There were
four choices football, baseball, basketball, and other. Bill surveyed a total of 52 people of those surveyed, 11 said football is their
favorite 13 said baseball is their favorite, 14 said basketball is their favorite, and 14 said other.
Identity the sample size in the situation above.
A. 65
B. 38
C. 27
D. 52
Answer: The answer is A
Step-by-step explanation: 100% Right Hope This Helps
HELP PLS MARKING BRAINLEIST IF YOU ARE CORRECT
Answer:
the slop is 4 units or 40.
Use the Pythagorean Theorem to find the distance between the point (1,4) and (-5,-4) on the coordinate plane? (FREE RESPONSE)
PLZ I NEED IT RIGHT NOW
Answer:
hope this helps
do question four plzzz
Answer:
B
Step-by-step explanation:
in a toy store, the ratio of action figures to teddy bears 6 to 2. if the store has 320 total toys, how many teddy bears are there in the store?
PLS HELP ASAP WILL MARK BRAINLEIST
Answer:
a^8
I hope this is the correct answer
have a great day
Answer:
a³
Step-by-step explanation:
(a².a³.(a-¹)²)
a²+³.a-¹×2
a⁵.a-²
a⁵+(-²)
a⁵-²
a³
what is the slope of the line that contains the points (-1,6) and (2,-3)
Answer:
-1,3
Step-by-step explanation:
HURRY PLEASE
What is the equation of the line in slope -intercept form ?
Write your answer using intergers , proper fractions , and improper fractions in simplest form .
1.
The length and the width of a rectangular field are 24 feet and 18 feet respectively. A
diagonal walkwaty is made from one end to the opposite end. What is the length of the
walkway?
Answer: 30
Step-by-step explanation: square 24 and 18 (576 & 324) then add them together (900), then the square root of 900 is 30, so 30.
Answer:
Step-by-step explanation:
To find the diagonal path way, use Pythagorean theorem.
Diagonal² = length² + width²
= 24² + 18²
= 576 + 324
= 900
diagonal = √900 = √30 *30
diagonal = 30 ft
4 x 4 x 4 x 5 x 5
With index notation?
Answer:
4^3 x 5^2
Step-by-step explanation:
Index notation just makes the numbers being multiplied by themselves easier to read.
Answer:
4³×5²
Step-by-step explanation:
chill bro it's basic
Jonah had $340.87 in his checking account. He withdrew $52 and wrote a check for $18.72. Find the new balance.
Answer:
270.15
Step-by-step explanation:
Answer:
270.15
Step-by-step explanation:
u just add 52 and 18.72 and subtract it from 340.87
Varia is studying abroad in Europe. She is required to pay $3,500 (in US dollars) per year to the university; however, she must pay in euros. How many euros can Varia expect to pay per month to the university? (Round to the nearest whole euro.)
0.7306euros = 1 US dollar
Answer:
3500
Step-by-step explanation:
if you rounding 0.7306 up to nearest euro its equal to a dollar
The number of euros that Varia can expect to pay per month to the university will be € 213.
What is conversion?Unit modification is the process of converting the measurement of a given amount between various units, often by multiplicative constants that alter the value of the calculated quantity without altering its impacts.
Varia is studying abroad in Europe. She is required to pay $3,500 (in US dollars) per year to the university, however, she must pay in euros.
We know that the conversion is 0.7306 euros = 1 US dollar. Then the number of euros per year is given as,
⇒ $3,500 x 0.7306
⇒ €2,557.1
Then the number of euros that Varia can expect to pay per month to the university will be given as,
⇒ €2,557.1 / 12
⇒ € 213.09
⇒ € 213
The number of euros that Varia can expect to pay per month to the university will be € 213.
More about the conversion link is given below.
https://brainly.com/question/9414705
#SPJ2
MARKING BRAINLEIST + 20 POINTS PLEASE HELP IS DUE TODAY
Answer: The slope is 1.5. The equation of the line is y=1.5x+3
Step-by-step explanation:
Slope is the "Rise" over the "Run" of a line. The rise is the change in y. The run is the cange in x. Take any two points. I picked (0,3) and (4,9) since they were clearly on whokle number lines. The rise is (9-3) or 6. The run is (4-0) or 4. Rise/Run = 6/4 or 1.5. The y intercept is at 3 (the value of y when x=0). The full line equation is thus y = 1.5x+3.
2x+2x+2=4x+2 one solution, infinite, or no solution
Answer:
0=0
Step-by-step explanation:
If you receive $68 for mowing lawns for 8 hours. What would be the equation to find out how much money you would receive in an hour?
Answer:
$68÷8= x money per hour
Step-by-step explanation:
calculate the range of the following numbers: 11,13,15,9,19,12,21,14,10,15,16,8,11,11,10
Answer:
it should be 13
Step-by-step explanation:
Answer:
The Range is 13
Step-by-step explanation:
Mean (Average): 13
Median: 12
Range:13
Largest: 21
Smallest: 8
Sum: 195
Count: 15
(Hope this helps can I pls have brainlist (crown)☺️
The governor of Utah wants to know how long they have before the entire state is zombified. If there are 3.67 million people living in Utah (3,670,016 to be exact), how many days until the entire state is infected?
options:
19 days
2 years
11 days
52 days
Answer:
wait.
Step-by-step explanation:
what do u really mean by zombies
Consider randomly drawing two students without replacement from a class of 40 students in which 3 are left handed. Below is a tree diagram illustrating that the probability of selecting 2 left handed students is 1/260. Calculate the probabilities labeled on the tree diagram
Answer:
a. 3/40
b. 37/40
c. 2/39
d. 37/39
e. 3/39
h. 36/39
k. 1/260
m. 37/520
n. 37/520
w. 111/130
Step-by-step explanation:
First person:
a. 3/40
b. 37/40
_____
Second person:
left-handed branch of tree diagram: since the first person was left-handed, it means there is one less left-handed person, and one less person for the total
c. 2/39
d. 37/39
not left-handed branch of tree diagram: since the first person wasn't left-handed, there are still 3 left-handed people, and there is one less person for the total.
e. 3/39
h. 36/39
_____
for the final probabilities, just multiply along the tree branches:
k = a × c = 1/260
m = a × d = 37/520
n = b × e = 37/520
w = b × h = 111/130
cora plans to buy some calligraphy pens priced at $5 each
Find the measures of the angles of a right triangle with one angle whose measure is 10
Answer:
10, 80 and 90 degrees.
Step-by-step explanation:
The third angle will 90 - 10 = 80 degrees.
PLEASE HELP ITS DUE TOMORROW Rina draws hexagon GHJKLM. She rotates this figure by 180° about the origin to create hexagon G'H'J'K'I'M'.
Which THREE statements are TRUE?
A
G'H' is parallel to L M.
B
ZG'M'L' is a right angle.
С
J'K' is perpendicular to GM
D
ZH'J'K' is congruent to ZHJK.
E
J'K' has twice the length as JK.
Answer:
A, B, D
Step-by-step explanation:
C is wrong. J'K' is not perpendicular to GM
E is wrong. Rotating the figure 180 degrees, does not change the size of any line segments. So J'K' cannot be twice the length of JK