Answer:
294 in.²
Step-by-step explanation:
I believe this figure is a rectangular prism.
------------------------------------------------------------------------------------
Explain:
To find the surface area of a rectangular prism, use this formula:
[tex]SA=2lw+2lh+2wh[/tex]
or
[tex]SA=2(lw+lh+wh)[/tex]
[tex]l-length[/tex]
[tex]w-width[/tex]
[tex]h-height[/tex]
A phrase I use to help remember this formula is:
LISA WILSON LOST HER WITCH HAT TWICE (2)
------------------------------------------------------------------------------------
Solve:
The length of this rectangular prism is 9 in.
This width is 10 in.
The height is 3 in.
Now, I will plug the numbers into the first formula.
[tex]SA=(2*9*10)+(2*9*3)+(2*10*3)=294 in.^2[/tex]
------------------------------------------------------------------------------------
Conclude:
I, therefore, believe the area of this rectangular prism is 294 in.²
Which of the following represents the solution to the inequality 215-2xl-3315?
O (-60,-2) (7.00)
O (-0,1.5) (7.5.00)
O 1-2, 7]
O [1.5, 7.5]
9514 1404 393
Answer:
(c) [-2, 7]
Step-by-step explanation:
We can solve the inequality for an expression in x.
2|5 -2x| -3 ≤ 15
2|5 -2x| ≤ 18 . . . . . . add 3
|5 -2x| ≤ 9 . . . . . . . . divide by 2
We prefer a positive coefficient of x, so we'll multiply inside the absolute value by -1. This does not change the absolute value. (|-1| = |1|, for example)
|2x -5| ≤ 9
Now, we can "unfold" this to get the compound inequality ...
-9 ≤ 2x -5 ≤ 9
-4 ≤ 2x ≤ 14 . . . . . add 5
-2 ≤ x ≤ 7 . . . . . . . divide by 2
The solution interval is [-2, 7].
__
The graph shows the equation of the given form f(x) ≤ c converted to the form f(x)-c ≤ 0. The graphing calculator highlights x-intercepts easily, so we take advantage of that to show the solution interval bounds. The graph is less than zero between the bounds.
Calculate the measure of segment KL
HELP PLS
Marisol's new tablet is 9 inches long and has a diagonal of 11 inches. What is the perimeter of
the tablet, in inches, to the nearest tenth of an inch? *Hint: Use the Pythagorean Theorem to
find the width of the tablet.
The perimeter is type your answer...
inches.
Answer:
30.64 inches
Step-by-step explanation:
use Pythagoras theoryum to find the width:
11²=121
121-9²=40
√40=6.32
perimeter is all sides added together so:
6.32+6.32+9+9=30.64
Prove that if a and b are positive integers,then there exists a unique integers q and r such that a=bq+r where 0≤r<b
Step-by-step explanation:
Correct option is
C
0≤r<b
If r must satisfy0≤r<b
Proof,
..,a−3b,a−2b,a−b,a,a+b,a+2b,a+3b,..
clearly it is an arithmetic progression with common difference b and it extends infinitely in both directions.
Let r be the smallest non-negative term of this arithmetic progression.Then,there exists a non-negative integer q such that,
a−bq=r
=>a=bq+r
As,r is the smallest non-negative integer satisfying the result.Therefore, 0≤r≤b
Thus, we have
a=bq1+r1, 0≤r1≤b
if 100% = Rs 120,then. A.120% = Rs 84 B. 20% = Rs 84 C. 70% = Rs 84 D. 30% = Rs 84
Answer:
70% is Rs 84
just use the formula
x% of 120= 84
and you will get the answer
9. Find the length of X (in the picture) plssss I need help. (GIVING POINT'S AND BRAINLY)
Answer:
[tex] \frac{7.5}{x } = \frac{6}{4} \\ 6x = 30 \\ x = 5 [/tex]
Noel and Casey both start at the same place. Noel walks due south and Casey walks due east. After some time has passed, Noel is 6 miles south and Casey is 8 miles east. At this time, Noel is walking at a rate of 2 mph and Casey is walking at a rate of 1 mph. How fast is the distance between them increasing at this time
Answer:
2.04 miles per hour
Step-by-step explanation:
Given
Noel
[tex]n_1 =6miles[/tex]
[tex]r_1 = 2mph[/tex]
Casey
[tex]c_1 = 8miles[/tex]
[tex]r_2 =1mph[/tex]
Required
The rate at which the distance increases
Their movement forms a right triangle and the distance between them is the hypotenuse.
At [tex]n_1 =6miles[/tex] and [tex]c_1 = 8miles[/tex]
The distance between them is:
[tex]d_1 = \sqrt{n_1^2 + c_1^2}[/tex]
[tex]d_1 = \sqrt{6^2 + 8^2}[/tex]
[tex]d_1 = \sqrt{100}[/tex]
[tex]d_1 = 10miles[/tex]
After 1 hour, their new position is:
New = Old + Rate * Time
[tex]n_2 = n_1 + r_1 * 1[/tex]
[tex]n_2 = 6 + 2 * 1 = 8[/tex]
And:
[tex]c_2 = c_1 + r_2 * 1[/tex]
[tex]c_2 = 8 + 1 * 1 = 9[/tex]
So, the distance between them is now:
[tex]d_2 = \sqrt{n_2^2 + c_2^2}[/tex]
[tex]d_2 = \sqrt{8^2 + 9^2}[/tex]
[tex]d_2 = \sqrt{145}[/tex]
[tex]d_2 = 12.04[/tex]
The rate of change is:
[tex]\triangle d = d_2 -d_1[/tex]
[tex]\triangle d = 12.04 -10[/tex]
[tex]\triangle d = 2.04[/tex]
find slope from the pair of points (2,-2) (-5,4)
Answer:
-6/7
Step-by-step explanation:
If we have two points, we can find the slope using the slope formula
m = ( y2-y1)/(x2-x1)
= ( 4 - -2)/( -5 -2)
= ( 4+2) /(-5-2)
= 6/-7
= -6/7
write 145,567 in expanded notation
Answer:
100000+45000+500+60+7
ASAP PLEASE!!The table and the relative frequency histogram show the distribution of the number of tails and three coins are tossed. Find the probability P(T=1). write your answer as a fraction.
Explanation:
P(T = 1) is the notation that means "The probability of getting exactly one tail". The table shows 3/8 in the bottom row, under the "1" in the top row. So that's why P(T = 1) = 3/8
Or it might make more sense to say P(one tail) = 3/8 so we don't have too many equal signs going on.
help me please it’s timed !!!
While
AB is A. 5Welcome :)Find the time required for an investment of 7,000 dollars to grow to 14,000 dollars at an interest rate of 4% per
year, compounded monthly. Give your answer accurate to 2 decimal places.
Preview
years.
Answer:
The time required is of 17.53 years.
Step-by-step explanation:
Compound interest:
The compound interest formula is given by:
[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]
Where 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 and t is the time in years for which the money is invested or borrowed.
Find the time required for an investment of 7,000 dollars to grow to 14,000 dollars at an interest rate of 4% per year, compounded monthly.
This is t for which [tex]A(t) = 14000[/tex], considering [tex]P = 7000, r = 0.04, n = 12[/tex]. So
[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]
[tex]14000 = 7000(1 + \frac{0.04}{12})^{12t}[/tex]
[tex](1.0033)^{12t} = 2[/tex]
[tex]\log{(1.0033)^{12t}} = \log{2}[/tex]
[tex]12t\log{1.0033} = \log{2}[/tex]
[tex]t = \frac{\log{2}}{12\log{1.0033}}[/tex]
[tex]t = 17.53[/tex]
The time required is of 17.53 years.
In how many ways can the letters in the word 'Illinois' be arranged?
Answer
How to enter your answer
Answer:
The numbers of ways to permute letters of the word Illinois if the two Ls must be consecutive is 7.
The word ILLINOIS contains 7 letters.
How do you find the number of distinguishable permutations of the letters in a word?To estimate the number of different permutations, consider the total number of letters factorial and divide by the frequency of each letter factorial. The little n's exist the frequencies of each various (different) letter.
We will use the formula for the number of permutations with imperceptible objects. Since the two L's must be consecutive, we consider them to be a single letter LL. Then the word ILLINOIS contains n = 7 letters: 3 I's, 1 LL, 1 N, 1 O, and 1S.
Hence the number of methods to permute letters of the word ILLINOIS if the two L's must be consecutive exists:
[tex]$\frac{7 !}{3 ! 1 ! 1 ! 1 ! 1 !}=7 \cdot 6 \cdot 5 \cdot 4=840 \text {. }$$[/tex]
The word ILLINOIS contains 7 letters.
To learn more about permutations
https://brainly.com/question/1216161
#SPJ2
6+t=1 pls help.............
6+T=1
Try T=-5
6+(-5) = 1
Correct, So...
T=-5
This holiday season, Ms. Bastarache organized to give each 9th grader a $10 Dunkin Donuts gift card. Because she bought a lot of cards, Ms. Bastarache tipped the Dunkin Donuts employee $20.
This function represents the relationship between the number of gift cards, c, and T(c), the total cost of the cards.
T(c) = 10c + 20
Be sure to answer BOTH questions below.
1. Determine the total cost, in dollars, for Ms. Bastarache to give out 93 gift cards.
2. Last year, Ms. Bastarache spent $820, how many cards did she purchase?
need help asap plzzzzzz
Answer:
1. $950
2. 80
Step-by-step explanation:
16. Rachael teaches at the college and it pays $3000 per month. She spends $50 on groceries per
week. Netflix costs $9 per month. She pays $50/month for internet. Utilities cost $200 per
month. Rachael's phone bill is $82 per month. Find the net monthly cash flow. (assume 1 month
= 4 weeks).
Answer: Rachel gets a total of 2459 dollars to save each month.
Step-by-step explanation:
200+9+50+200+82=541
3000-541=2459
please help
Yaritza finds some nickels and pennies in her change purse. How many coins does she have if she has 140 nickels and 130 pennies? How many coins does she have if she has
n
n nickels and
p
p pennies?
Total coins, 140 nickels and 130 pennies: 270
Total coins,
n
n nickels and
p
p pennies:
Submit Answer
Answer:
270 coins
n + p
Step-by-step explanation:
Given that :
Number of nickels = 140
Number of pennies = 130
The total numbers coins had:
Number of Nickel + number of pennies
140 + 130 = 270 coins
If Number of nickels = n ; number of pennies = p
The total number of coins :
Number of Nickel + number of pennies
n + p
Which fact is not used to prove that ABC is similar to DBE?
What is the slope of the line?
Hi there!
»»————- ★ ————-««
I believe your answer is:
m = (7/4)
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{The slope formula is rise over run.}}\\\\m=\frac{\text{Rise}}{\text{Run}}\\\\m=\frac{y_2-y_1}{x_2-x_1}\\-------------\\(x_1,y_1) \text{ and } (x_2,y_2) \text{ are two points that are on the line.}[/tex]
⸻⸻⸻⸻
The line passes through the points (3,4) and (-1, -3).
⸻⸻⸻⸻
[tex]\boxed{\text{Calculating the Slope:}}\\\\\rightarrow m = \frac{-3-4}{-1-3}\\\\\rightarrow m=\frac{-7}{-4}\\\\\rightarrow m=\boxed{\frac{7}{4}}[/tex]
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
the angles of a triangle is 2x,3x and 5x find the value of x
Here,
2x+3x+5x = 180 (sum of all angles of triangle are equal to 180)
or, 10x = 180
or, x = 180/10
x = 18
Therefore, the value of x is 18.
Hope this solution may help you☺
Answer:
2x + 3x + 5x = 180(sum of all the interior angles of a triangle is 180° )
10x = 180°
x=180/10
x = 18°
what is the average rate of change between:
x=1 and x=2
x=2 and x=3
x=3 and x=4
Rate of change = RΔ = (y2-y1)/(x2-x1) = Δy/Δx
(X1,Y1)(X2,Y2)
(1, 2) (2, 4)
RΔ = Δy/Δx
= (4-2)/(2-1)
RΔ = 2
(2, 4) (3, 8)
RΔ = (8-4)/(3-2)
RΔ = 4
(3, 8) (4, 16)
RΔ = (16-8)/(4-3)
RΔ = 8
How do I solve this and answer?
Step-by-step explanation:
at first solve first triangle with Pythagorean solving witch it c²=a²+b²
you have to change a bit so it will be c²-b²=a²
you start with 8 and 10 triangle and then you get line which is in the middle and yo udo just the same with triangle 8 and the solved side and you get x in the second triangle you have to use c²-a²=b²
Butch will miss an important TV program while taking his statistics exam, so he sets
both his VCRs to record it. The first one records 70% of the time, and the second one
records 60% of the time. What is the probability that he gets home after the exam and
finds? (We assume that events A and B are independent, so with P(A)=0.7 and
P(B) = 0.6 respectively.)
(a) No copies of his program?
(b) One copy of his program?
Answer:
b
Step-by-step explanation:
this because both VCSs were recording on the same time hence Butch will have two copies of record and the A vcr having an Extra of what B vcr will
what is the answered
pp lssss answer
[tex]\boxed{ \underline{ \bf \: Categorical}} \sf \: data \: set \: is \: the \: data \: set \\ \sf \: that \: deals \: with \: only \: non \: numerical \: values.[/tex]
Optoion C. Categorial data set is the right answer of the question given.
RaonbowSalt2222
Find the distance (-2,4) and (-5,-0)
Answer:
d=√65 units
Step-by-step explanation:
Using the distance formula :
d=√((−5)−(2))2+((0)−(4))2 units
d=√(−7)2+(−4)2 units
d=√49+16 units
d=√65 units
If this helps you, please mark brainliest!
Have a nice day!
The net of a rectangular prism is shown.
8 in.
2 in.
2 in.
8 in.
2 in.,
1
1
1
6 in.
1
2 in. :
1
is the correct answer lol ez stuff
If ⅔ of a number is 20 what is ½ of the number?
Answer:
15
Step-by-step explanation:
2/3 of 30 is 20, so 1/2 of 30 is 15
the answer is in the image above
According to the tables used by insurance companies, a 48-year old man has a 0.169% chance of
passing away during the coming year. An insurance company charges $217 for a life insurance policy
that pays a $100,000 death benefit.
What is the expected value for the person buying the insurance?
Answer:
The expected value for the person buying the insurance is of -$48.
Step-by-step explanation:
Expected value:
0.169% = 0.00169 probability of earning the death benefit of $100,000, subtracting 217, 100000 - 217 = $99,783.
100 - 0.169 = 99.831% = 0.99831 probability of losing $217.
What is the expected value for the person buying the insurance?
[tex]E = 0.00169*99783 - 0.99831*217 = -48[/tex]
The expected value for the person buying the insurance is of -$48.
NEED HELP ASAP!!!!!!
Answer:
It's a rhombus (if you can check more than one answer, it's also a parallelogram).
Step-by-step explanation:
A rhombus is a flat shape with 4 straight sides that are all equal length.
Also opposite sides are parallel and opposite angles are equal.
It is a type of parallelogram.
Answer:
It's a rhombus
Step-by-step explanation:
because all the 4 sides are equal
And it's like a square that it's top has been pushed
Please help pleaseeeeee
Answer:
Step-by-step explanation:
Pythagorean theorem states, square of longer is equal to the sum of square of other sides.
That is, c² = a² + b²
[tex]50^2 = 48 ^2 + 14^2\\\\2500 = 2304 + 196\\\\2500 = 2500[/tex]
Therefore, the lengths satisfies Pythagorean Theorem.
If the sides of a triangle satisfies Pythagoras Theorem, then the triangle is right triangle.