Answers
Given:
Required:
To find the total surface area of the prism.
Explanation:
The total surface area of the prism is given by the formula:
\(A=2\times base\text{ area+Area of the rectangle}\)Area of the base triangle
\(\begin{gathered} =\frac{1}{2}\times base\times height \\ =\frac{1}{2}\times6\times8 \\ =\frac{48}{2} \\ =24\text{ cm}^2 \end{gathered}\)To find the width of the rectangle we will use the Pythagoras theorem.
\(\begin{gathered} width=\sqrt{(8)^2+(6)^2} \\ width=\sqrt{64+36} \\ width=\sqrt{100} \\ width=10\text{ cm} \end{gathered}\)Area of the rectangle
\(\begin{gathered} =length\times breadth \\ =12\times10 \\ =120cm^2 \end{gathered}\)Thus the area of the prism
\(\begin{gathered} =2\times24+120 \\ =48+120 \\ =168\text{ cm}^2 \end{gathered}\)Final Answer:
Related Questions
Ugh I’m going insane trying to do this. Please help.
Answers
Answer:
y(x)=6^(x)-3
Step-by-step explanation:
Let the exponential function be y(x) = ab^(x) but since the graph is translated 3 units down, y(x) = ab^(x)-3. Now, y(0)=-2=a*b^(0)-3. a=1. The equation is nearly complete but we need b, we can find it by using the point y(1)=3. y(x)=b^(x) - 3. y(1)=3=b-3, b=6. The equation of the function is y(x)=6^(x)-3
Answer:
I agree with the first one
If(2p+3)(p+5)=p2 +p+,whatisthevalueof++?
Answers
Answer: (p - 1) • (5p + 3)
Step-by-step explanation: Changes made to your input should not affect the solution:
(1): "p2" was replaced by "p^2".
STEP
1
:
Equation at the end of step 1
(5p2 - 2p) - 3
STEP
2
:
Trying to factor by splitting the middle term
2.1 Factoring 5p2-2p-3
The first term is, 5p2 its coefficient is 5 .
The middle term is, -2p its coefficient is -2 .
The last term, "the constant", is -3
Step-1 : Multiply the coefficient of the first term by the constant 5 • -3 = -15
Step-2 : Find two factors of -15 whose sum equals the coefficient of the middle term, which is -2 .
-15 + 1 = -14
-5 + 3 = -2 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -5 and 3
5p2 - 5p + 3p - 3
Step-4 : Add up the first 2 terms, pulling out like factors :
5p • (p-1)
Add up the last 2 terms, pulling out common factors :
3 • (p-1)
Step-5 : Add up the four terms of step 4 :
(5p+3) • (p-1)
Which is the desired factorization
Bound
Figure 2.
Jenny would like to buy a new air conditioner for his home. As seen in Figure 2 above he has
3 types of brands that he can consider. The cash price for Daewoo is RM1,899, Daikin at a
price of RM1,699 and last choice is Mitsubishi at a price of RM1.999. He plans to make 18
monthly instalments, if he pays RM300 as a down payment for the air conditioner that he would
like to buy, find the interest charge for each brand if the interest rate is 4% based on originall
balance if he chooses to buy from Daikin, find the monthly instalment price and instalment
price that he needs to pay.
Answers
if Jenny chooses to buy from Daikin, the monthly installment price would be approximately RM98.89, and the total installment price to be paid would be approximately RM1,779.98 (18 monthly installments * RM98.89).
How to determine the monthly instalment price and instalment price that Daikin needs to pay.Calculating the loan amount for each brand by subtracting the down payment from the cash price:
Loan amount for Daewoo = RM1,899 - RM300 = RM1,599
Loan amount for Daikin = RM1,699 - RM300 = RM1,399
Loan amount for Mitsubishi = RM1,999 - RM300 = RM1,699
Calculating the interest charge for each brand:
Interest charge for Daewoo = Loan amount for Daewoo * Interest rate = RM1,599 * 0.04 = RM63.96
Interest charge for Daikin = Loan amount for Daikin * Interest rate = RM1,399 * 0.04 = RM55.96
Interest charge for Mitsubishi = Loan amount for Mitsubishi * Interest rate = RM1,699 * 0.04 = RM67.96
To find the monthly installment price, divide the total amount (cash price + interest charge) by the number of monthly installments:
Monthly installment price for Daewoo = (Cash price of Daewoo + Interest charge for Daewoo) / Number of monthly installments = (RM1,899 + RM63.96) / 18 ≈ RM107.22
Monthly installment price for Daikin = (Cash price of Daikin + Interest charge for Daikin) / Number of monthly installments = (RM1,699 + RM55.96) / 18 ≈ RM98.89
Monthly installment price for Mitsubishi = (Cash price of Mitsubishi + Interest charge for Mitsubishi) / Number of monthly installments = (RM1,999 + RM67.96) / 18 ≈ RM116.72
Therefore, if Jenny chooses to buy from Daikin, the monthly installment price would be approximately RM98.89, and the total installment price to be paid would be approximately RM1,779.98 (18 monthly installments * RM98.89).
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In asking all 349 second graders in a school district, it is found that on average, these second graders have 2.5 pets. Is this number a parameter or a statistic and why?
Answers
Answer:
Parameter
Step-by-step explanation:
A statistic describes a sample. A parameter describes a population. Since the entire population of second graders in the district is surveyed, this is a parameter.
-8/9 + (-2)/57
find the absolute value of the following rational number
Answers
The absolute value of the Rational number -474/513 is 474/513.
To find the sum of the rational numbers -8/9 and -2/57, you need to have a common denominator. The least common multiple (LCM) of 9 and 57 is 513. So, you can rewrite the fractions with a common denominator:
-8/9 = (-8/9) * (57/57) = -456/513
-2/57 = (-2/57) * (9/9) = -18/513
Now, you can add the fractions:
-456/513 + (-18/513) = (-456 - 18)/513 = -474/513
To find the absolute value of the rational number -474/513, you simply ignore the negative sign and take the value as positive:
| -474/513 | = 474/513
Therefore, the absolute value of the rational number -474/513 is 474/513.
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on : to show More... Then click on √x to enter your answers using the Math Equation editor. Question 5 A frog with bionic legs leaps from a stump with an initial velocity of 64 ft/sec. It is determined that the height of the frog as a function of time can by modeled by h (t) = − 16t² +64t + 3. What is the height of the stump? O 3 ft -3 ft O 16 ft O 64 ft ◄ Previous 1 pts M Next ▸
Answers
The height of the stump is 3 ft.
The given equation represents the height of the frog, h(t), as a function of time, t. To find the height of the stump, we need to determine the height when the time, t, is equal to 0.
In the equation h(t) = -16t² + 64t + 3, we substitute t = 0:
h(0) = -16(0)² + 64(0) + 3
Since any term multiplied by zero is zero, we can simplify further:
h(0) = 0 + 0 + 3
Therefore, the height of the stump, at time t = 0, is 3 ft. This means that when the frog initially leaps from the stump, the height of the stump itself is 3 ft.
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A recipe calls for 12 cup of milk for every 34 cup of flour.
If Kenny wants to double the recipe, how many cups of flour will he need?
Answers
Answer:
68
Step-by-step explanation:
because she wants to double the recipe
so she will need 6 cups of milk
Triangle BIG is similar to triangle MOP . Find v .
Answers
Answer:
63:42
so this is
3:2
\( \frac{33}{3} = \frac{v}{2} \)
\(v = \frac{2 \times 33}{3} = \frac{66}{3} = 22\)
v=22
The value of v should be considered as the 22 when the Triangle BIG is similar to triangle MOP.
Calculation of the value of v:Since as per both the figures we can write the ratio like 63:42 so it can be like 3:2
So the calculation could be done below
\(33 \div 3 = v \div 2\\\\v = 2 \times 33 \div 3\\\\= 66 \div 3\)
= 22
Hence, The value of v should be considered as the 22 when the Triangle BIG is similar to triangle MOP.
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evaluate 3 square root 125/1000
Answers
Answer: it the first one
Step-by-step explanation:
Order cube root of eighty-eight, twenty-eight ninths, square root of nineteen from greatest to least.
cube root of eighty-eight, twenty-eight ninths, square root of nineteen
twenty-eight ninths, square root of nineteen, cube root of eighty-eight
twenty-eight ninths, cube root of eighty-eight, square root of nineteen
cube root of eighty-eight, square root of nineteen, twenty-eight ninths
Answers
Answer:
(a) twenty-eight ninths, square root of nineteen, cube root of eighty-eight
Step-by-step explanation:
When ordering a list of numbers by hand, it is convenient to convert them to the same form. Decimal equivalents are easily found using a calculator.
OrderThe attachment shows the ordering, least to greatest, to be ...
\(\dfrac{28}{9}.\ \sqrt{19},\ \sqrt[3]{88}\)
__
Additional comment
We know that √19 > √16 = 4, and ∛88 > ∛64 = 4, so the fraction 28/9 will be the smallest. That leaves us to compare √19 and ∛88, both of which are near the same value between 4 and 5.
One way to do the comparison is to convert these to values that need to have the same root:
√19 = 19^(1/2) = 19^(3/6) = sixthroot(19³)
∛88 = 88^(1/3) = 88^(2/6) = sixthroot(88²)
The roots will have the same ordering as 19³ and 88².
Of course, these values can be found easily using a calculator, as can the original roots. By hand, we might compute them as ...
19³ = (20 -1)³ = 20³ -3(20²) +3(20) -1 = 8000 -1200 +60 -1 = 6859
88² = (90 -2)² = 90² -2(2)(90) +2² = 8100 -360 +4 = 7744
Then the ordering is ...
28/9 < 19³ < 88² ⇒ 28/9 < √19 < ∛88
Answer:
the ordering is
28/9 < 19³ < 88² ⇒ 28/9 < √19 < ∛88
Step-by-step explanation:
state the distinct ways the number 910 can be written as a product of two positive integer factors. (enter your answer as a comma-separated list of products.)
Answers
Here are different ways to express 910 as the product of two positive integer coefficients:
1 x 910, 2x455, 5x182, 10x91, 13x70, 15x61, 26x35, 30x31
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Identify each pair of angles.
Answers
2. Alternate interior
3.same side interior
4.vertical
5.corresponding
6. Alternate exterior
A 6000-seat theater has tickets for sale at $24 and $40. How many tickets should be sold at each price for a sellout performance to generate a total revenue
of $168,000?
The number of tickets for sale at $24 should be ?
Answers
The number of tickets which should be sold to $24 and $40 are 4500 and 1500 respectively.
Given, A 6000-seat theater has tickets for sale at $24 and $40.
How many tickets should be sold at each price for a sellout performance to generate a total revenue of $168,000 = ?
first, assign variables:
X = # of $24 tickets, Y = # or $40 tickets
write equations based on the data presented:
"6000 seat theater..."
X + Y = 6000 ...equation 1
"total revenue of 168,000"
The revenue from each type of ticket is the cost times the number sold, so:
24X + 40Y = 168,000 .....equation 2
from equation 1:
X = 6000 - Y
substitute this into equation 2: (replace X with 6000-Y)
24 (6000 - Y) + 40Y = 168,000
expand:
144,000 -24Y + 40Y = 168,000
rearrange and simplify:
16Y = 168,000 - 144,000
y = 24000/16
Y = 1500
from equation 1:
X = 6000 - 1500
X = 4500
hence the number of tickets for sale at $24 should be 4500.
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I need help pleaseeeeeeeeeeeeeeeeeeee
Answers
Answer:
Step-by-step explanation: [-2.19] = -3
[3.67] = 3
[-0.83] = -1
The domain of this function is a group of real numbers that are divided into intervals such as [-5, 3), [-4, 2), [-3, 1), [-2, 0) and so on. This explains the domain and range relations of a step function.
This can be generalized as given below:
[x] = -2, -2 ≤ x < -1
[x] = -1, -1 ≤ x < 0
[x] = 0, 0 ≤ x < 1
[x] = 1, 1 ≤ x < 2
Answer:
y = - \(\frac{3}{2}\) x
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
calculate m using the slope formula
m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)
with (x₁, y₁ ) = (- 2, 3) and (x₂, y₂ ) = (0, 0) ← 2 points on the line
m = \(\frac{0-3}{0-(-2)}\) = \(\frac{-3}{0+2}\) = - \(\frac{3}{2}\) , then
y = - \(\frac{3}{2}\) x + c ← is the partial equation
to find c substitute either of the 2 points into the partial equation
using (0, 0 )
0 = - \(\frac{3}{2}\) (0) + c = 0 + c , so
c = 0
y = - \(\frac{3}{2}\) x + 0 , that is
y = - \(\frac{3}{2}\) x
Convert the 144 km/h into meters per second
Answers
Answer:
144 Kilometers per Hour = 40 Meters per Second
Step-by-step explanation:
multiply the value in kilometers per hour by the conversion factor '0.27777777777778'.
So, 144 kilometers per hour = 144 × 0.27777777777778 = 40 meters per second.
please mark 4 brainliests.
Answer: 40 m/s
Step-by-step explanation: you can multiplied by 5/18 to convert km/h to m/s ,and you can multiplied by 18/5 to convert m/s to km/h.
3+ 5436 + 8654% = I do not understand it.
Answers
Step-by-step explanation:
3+ 5436 + 8654% = 3 + 5436 + 86.54= 5525.54
5 What is the solution for y in the following system of equations?
7x + 2y = 8
-
7x+6y= -88
Answers
Answer:
working on a answer one second
Step-by-step explanation:
use the picture below to fill in the blanks
Answers
Answer:
Perimeter of base = 18 ft
Height = 7 ft
Base area = 12ft²
SA= 150 ft² *
Step-by-step explanation:
Perimeter of base = 8+5+5=18 ft
Height = 7 ft
Base area = 1/2x8x3=12ft²
SA= (8x7)+(12+12)+2(5x7)=56+24+70=150 ft²
*There are several different way to figure out the surface area, so I’m not sure exactly how they want it displayed. 150 is the answer though. Plus, I think there was supposed to be an addition sign between the first two parentheses.
pls help quick Jack is selling lemonade at a stand outside his house. He is charging $1.50 per cup. He needs to make at least enough money to cover the cost of his supplies, which were $15.25. has anys 192 What is the minimum number of cups of lemonade Jack needs to sell?
Answers
Answer:
11 cups
Step-by-step explanation:
1.50x10=15 and that wouldn't be the answer because, he needs to cover all of his supplies. 1.50x11=16.5, and that is enough money to cover all of his supplies. So he would need 11 cups total.
Which statements are true? Select all that apply.
Answers
Answer:
A,B, D
Step-by-step explanation: I just took that test and i got it right
a student spends 18 out of 35 of his pocket money on transport and fruit what is the fraction left?
Answers
To find the fraction of pocket money left after spending on transport and fruit, we need to subtract the amount spent from the total pocket money and express it as a fraction.
The student spends 18 out of 35 of his pocket money, which means he has (35 - 18) = 17 units of his pocket money left.
Therefore, the fraction of pocket money left can be written as 17/35.
for each parallel lines. you are given the measure of one angle
Answers
Answer:
The question is not complete
Find the product in simplest form. (3√2) ( √10) 3 √10 3 √20 6 √5 6 √10
Answers
Answer:
6 sqrt(5)
Step-by-step explanation:
(3√2) ( √10)
We know that sqrt(a) * sqrt(b) = sqrt(ab)
3 sqrt(2*10)
3 sqrt(20)
3 sqrt(4*5)
We know that sqrt(a) * sqrt(b) = sqrt(ab)
3 sqrt(4) sqrt(5)
3 * 2 * sqrt(5)
6 sqrt(5)
The table shows the amount of money that Sarah charges customers to sell newspapers. The table represents a linear functions.
Question 10 options:
Sarah charges $5 before she begins selling newspapers
Sarah does not charge her costumers unless she has sold newspapers for at least 2 hours
Sarah charges $5 an hour to sell newspapers
Sarah earns 7$ for 1 hours of work
Figured it out, It's the 1st answer, Sarah charges $5 before she begins
Answers
The linear function y = 2x + 5 shows that Sarah charges $5 as fixed amount before she begins selling newspapers.
The table representing amount of money which Sarah charges her customers to sell newspapers.
Let us consider 'x' represents the time per hour charges taken by Sarah from customers.
In the table,
For zero hours charges are $5.
It means Fixed charges taken by Sarah to sell newspaper.
Difference between the rate per hour is,
$7 - $5 = $2
$9 - $7 = $2
It represents for Sarah charges $2 per hour.
let us consider 'y' that represents total amount charges by Sarah.
Required linear function for selling news paper and charging amount is
y = $5 + 2x
⇒ y = 2x + 5
Therefore, the linear function y = 2x + 5 represents option 1. Sarah charges $5 before she begins selling newspapers.
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what is the pythagoras theorum in terms of shakespear?
Answers
Answer:*
Step-by-step explanation:
Pls HELP THANKS
A smaller number is 3 less than half a larger number. The larger number is 10 times 1 less than the smaller number.
Let x represent the smaller number, and let y represent the larger number. Which equations can be used to model the
situation? Check all that apply.
X equals 1/2 Y -3
2X minus Y equals -6
2X minus Y equals -3
X equals 1/2 ( Y -3)
Y equals 10 (X -1)
Answers
Answer:
Step-by-step explanation:
Cory made 4500 grams of candy. He saved 1 kilogram to eat later.
He divided the rest of the candy over 7 bowls to serve at his party. How many grams of candy did Cory serve in each bowl? I REALLY NEED HELP! CAN SOMEONE HELP ME PLZ!?
Answers
Answer:
500 grams.
Step-by-step explanation:
1 kilogram = 1000 grams.
4500 - 1000 = 3500
3500/7 = 500
Answer:
500g
Step-by-step explanation:
4500 - 1000g = 3500g
3500÷7 =500g
this khan academy problem confuses me... (5/3)^3= can anyone help me solve it?
Answers
Answer:
4.629
Step-by-step explanation:
(5/3)³5×5×5/3×3×3125/274.629.Hope it is helpful to you
Calculate Santos's monthly Social Security benefit if he delays collecting for 2 years and his original benefit at full retirement age was $1,115.00.
$1,156.90
$1,209.35
$1,293.40
$1,315.50
Answers
c. $1,293.40 is the Santos's monthly Social Security benefit, after delaying collecting for 2 years.
If Santos delays collecting his Social Security benefits for 2 years, he will be eligible for delayed retirement credits. The amount of the increase depends on his birth year and the specific rules in place at the time. As of my knowledge cutoff in September 2021, for individuals born in 1943 or later, the delayed retirement credit is 8% per year for each year of delay beyond full retirement age.
Assuming Santos's original benefit at full retirement age was $1,115.00, we can calculate the increase after a 2-year delay:
Increase = Original Benefit * (Delayed Retirement Credits per year * Number of years of delay)
Increase = $1,115.00 * (0.08 * 2)
Increase = $1,115.00 * 0.16
Increase = $178.40
To calculate Santos's monthly Social Security benefit after the 2-year delay, we add the increase to his original benefit:
New Benefit = Original Benefit + Increase
New Benefit = $1,115.00 + $178.40
New Benefit = $1,293.40
Santos's monthly Social Security benefit, after delaying collecting for 2 years, would be approximately $1,293.40. Therefore, Option c is correct.
The question was incomplete. find the full content below:
Calculate Santos's monthly Social Security benefit if he delays collecting for 2 years and his original benefit at full retirement age was $1,115.00.
a. $1,156.90
b. $1,209.35
c. $1,293.40
d. $1,315.50
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Which led to the formation of oceans after water on Earth’s surface evaporated?
Answers
Answer:
The sun released a strong burst of water vapor. As Earth cooled, water in the atmosphere condensed. Materials collided due to strong gravitational forces. The ozone layer formed to protect against harmful UV ray exposure
Step-by-step explanation:
Answer:
As Earth cooled, water in the atmosphere condensed
Step-by-step explanation:
dues to high temps, water evaporated.
as the earth's surface cooled, water condensed and formed oceans
rocks hardened to form continents