Answer:
32.76 ft
Step-by-step explanation:
step 1
Find the perimeter of the rectangular bulletin board
The perimeter of rectangle is given by
[tex]P=2(W+H)[/tex]
where
W is the width
H is the height
we have
[tex]W=7.25\ ft\\H=4.47\ ft[/tex]
substitute
[tex]P=2(7.25+4.47)=23.44\ ft[/tex]
step 2
Subtract the perimeter from the total feet of ribbon
so
[tex]56.20-23.44=32.76\ ft[/tex]
Substitute 3 for x and evaluate the expression below. 6x – 2
Answer:
Step-by-step explanation:
sub 3 for x
6(3)-2
=18-2
=16
Answer:
16 i hope this helps! :)
Step-by-step explanation:
given x = 3
given 6x - 2
plug in the x value 6(3) - 2
simplify 18 - 2 = 16
answer 16
What is the product of the 2 solutions of the
equation x^2 + 4x - 21 = 0?
72 +41 – 21 = 0?
Answer:
-21.
Step-by-step explanation:
x^2 + 4x - 21 = 0
To factor this we need 2 numbers whose sum id + 4 and whose produce is -21.
These are - 3 and + 7 , so the factors are:
(x - 3)(x + & = 0
x = 3, -7.
Final answer:
The product of the solutions for the quadratic equation x² + 4x - 21 = 0 is -21, as per Vieta's formulas, which states that the product is c/a.
Explanation:
The question is asking for the product of the solutions of a quadratic equation, specifically x² + 4x - 21 = 0. In the context of the quadratic formula, a = 1, b = 4, and c = -21. The quadratic formula is given by x = [-b ± √(b² - 4ac)] / (2a). However, to find the product of the roots, we can apply Vieta's formulas, which states that the product of the roots of a quadratic ax² + bx + c = 0 is c/a.
For the equation in question, the product of the roots would be c/a = (-21)/1 = -21. This is a straightforward application of a standard property of quadratic equations. Therefore, we don't need to find the individual roots to answer the question about their product, saving time and effort.
1. Carlos has $1,800 in a checking account set aside for summer expenses.
He withdraws $150 per week to pay for expenses. Nicole has $1,100 in a
checking account set up for money for an end of summer vacation.
Through the summer she deposits $200 per week. After how many weeks
will both accounts have the same amount of money? *
•2 weeks
•3 weeks
•4 weeks
•5 weeks
Answer:2 weeks
Step-by-step explanation: if you subtract 1800 by 150 for the two weeks you will get 1500 and if you add 1100 by 200 every week you will get a hundred and fifty
A triangle is shown. What is the length, in inches, of side a?
Using trigonometric ratios, the length in inches of the given triangle is 22 inches.
Given a right angled triangle.
The length of the hypotenuse is also given.
We can find the length of "a" using the sine trigonometric ratio.
We know that,
Sine of any angle is defined as the ratio of the opposite side to the hypotenuse of a right angled triangle.
Using the sine function here for the angle 30°,
sin (30°) = opposite side / adjacent side
sin (30°) = a / 44
Or,
a / 44 = sin (30°)
We know that sin (30°) = 1/2.
So,
a / 44 = 1/2
Multiplying both sides by 44, we get,
a = 44 / 2
a = 22 inches
Hence the length is 22 inches.
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Which is a diagonal through the interior of the cube? A cube. The top face has points A, B, D, C. The bottom face has points E, F, H, G. Side A D Side B G Side C E Side D F
Side BG is the diagonal through the interior of the cube
Step-by-step explanation:
Given Cube with
Top face ABDC
Bottom Face EFHG
In a cube there are 4 interior diagonals
Side AD is the diagonal of the top face ABDC
Side CE is diagonal of the side face ACBE
Side DF is diagonal of the side face BDHF
Side BG is the diagonal through the interior of the cube
Hence , the Side BG is the diagonal through the interior of the cube
Compare the values
9 x 10^2 is ? times as much as 3 x 10^-2
a. 3 x 10^-4
b. 6 x 10^4
c. 6 x 10^0
d. 3 x 10^4
Answer:
d. 3 × 10⁴
Step-by-step explanation:
9 × 10² = X × 3/10²
X = 9 × 10² × 10²/3
X = 3 × 10⁴
Answer:
3×10⁴
Step-by-step explanation:
the explanation is in the picture
please like and Mark as brainliest
Which is the missing step in the proof below? There is a 4th row that blank...
Given: ABCD is a parallelogram. ACED is a parallelogram
Prove: ΔABC≅ΔDCE
Answer choices are
A. ΔABC ≅ ΔDCE by the SAS congruence theorem
B. ΔABC ≅ ΔDCE by the ASA congruence theorem
C. ΔABC ≅ ΔDCE by the SSS congruence theorem
D. ΔABC ≅ ΔDCE by the HL congruence theorem
Answer:
would go for C, SSS (side side side theorem)
The edges of the bases of the frustum of a regular square pyramid have length 5 and 9, and the slant height of the frustum is 6. What is the Volume and SA
The volume of the frustum of a regular square pyramid with slant height 6 and square bases of edges 5 and 9 is approximately 284.99 cm³, and the surface area is 274 cm².
To calculate the volume and the surface area (SA) of the frustum of a regular square pyramid with a slant height of 6 and bases with edges of length 5 and 9, we use the following formulas:
Volume (V) of a frustum = (h/3) * (A1 + A2 + √(A1 * A2)), where h is the perpendicular height, A1 and A2 are the areas of the two bases.Surface area (SA) of a frustum = sum of the areas of the two bases + the lateral surface area. The lateral surface area = (perimeter of base 1 + perimeter of base 2) * slant height / 2.First, we need to find the perpendicular height (h) using Pythagorean theorem as the slant height is given.
For base edges of 5 (small square base) and 9 (large square base), the areas are:
A1 = 5² = 25 cm²A2 = 9² = 81 cm²The perimeters are:
P1 = 4 * 5 = 20 cmP2 = 4 * 9 = 36 cmThe lateral surface area (LSA) = (P1 + P2) * 6 / 2 = (20 + 36) * 6 / 2 = 168 cm².
Assuming that the slant height is consistent across the frustum, we find 'h' using the Pythagorean theorem:
Let's denote the difference in the side lengths of the squares as 'd'. Therefore, d = (9 - 5) / 2 = 2.
h² + d² = slant height², so h² = 6² - 2² = 36 - 4 = 32 and h = √32.
Now, we use the volume formula:
V = (√32 / 3) * (25 + 81 + √(25 * 81)) = (5.657 / 3) * (106 + 45) = 5.657 * 50.333 = 284.99 cm³, approximately.
For the surface area:
SA = A1 + A2 + LSA = 25 + 81 + 168 = 274 cm².
Please help I’ll give brainliest
Answer:
Ling is 27: X=2 12x + 3 = 27
Step-by-step explanation:
12 times 2= 24 -> 24+3= 27
Help I’m on a time limit
Answer:
The answer would be 26?
Step-by-step explanation:
So you know the top is 20cm so the bottom would be the same. Then you know W’s circle is 2cm and X’s is 4 you would have to add the 2 and 4 to 20 to get 26?
A John is mixing paint for an art project. He combines 4 quarts of white paint with
31 gallons of blue paint. He uses 2 quarts. How much paint does he have left?
Circle the letter for all that apply. (1 gallon = 4 quarts)
A 16 quarts
B 52 gallons
C 52 quarts
D 2; gallons
E 4 gallons
Answer:
2 gallons
Step-by-step explanation:
2 gallons of paint
Explanation:
If 3/4 of a gallon covers 2/5 of a wall, this means that a half of 3/4 gallons can cover 1/5 of a wall.
By knowing this, you can just make up your own expression
(the trick is to find a way to break it down to one, so you can multiply and manipulate it to save yourself some brain cells)
15
+
15
+
15
+
15
+
15
= whole wall
if
342
=
38
= amount of paint to cover 1/5 wall
then
(38)⋅5
=
38
+
38
+
38
+
38
+
38
=
158
≈
1.875
since we're talking about real life it would be 2 gallons of paint instead of 1.875 gallons to paint the whole wall
Hope this helps!
Akio found 18 cents in his pocket. He found 6 more coins in his pocket. Altogether he has 73 cents. What were the 6 coins he found in his other pocket?
Answer:
1 quarter, 1 dime, and 4 nickels
Step-by-step explanation:
First you subtract the 18 cents that were found in the pocket from the total amount of 73 cents to get the total amount of the 6 other coins:
73-18=55.
So the total amount of the 6 coins equals 55 cents.
The quarter = 25 cents
The dime = 10 cents
The 4 nickels = 5 + 5 + 5 + 5 = 20
1 quarter, 1 dime, and 4 nickels add up to the necessary total of 6 coins and when you add up the total cents of the quarter, dime, and nickels, 25 + 10 + 20 it comes to the sum of 55, which is how much the 6 coins are worth in total.
So therefore, the answer is 1 quarter, 1 dime, and 4 nickels.
Find the volume of the composite solid. Round your answer to the nearest tenth
Answer:
1130.4 cubic meters
Step-by-step explanation:
I think your question is missed of key information, allow me to add in and hope it will fit the original one. Please have a look at the attached photo.
My answer:
The composite solid has two cones:
The height of the big cone is: 12 mThe height of the small cone is: 18The radius of the common base of the two cones is: 6 m=> the volume of the big cone is:
V = (1/3)π[tex]r^{2}[/tex]·h = (1/3)*3.14*[tex]6^{2}[/tex]*18 = 678.24 cubic meters
=> the volume of the small cone is:
V = (1/3)π[tex]r^{2}[/tex]·h = (1/3)*3.14*[tex]6^{2}[/tex]*12 = 452.16 cubic meters
=> the volume of the composite solid :
= 678.24 + 452.16
=1130.4 cubic meters
I am A line segment found where 2 faces of polyhedron intersect what am i
Answer:
I do not know
Step-by-step explanation:
Please help me I have a limited time
Answer:
c = 96°
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
c is an exterior angle, thus
c = 50° + 46° = 96°
29. repetition of digits is permitted and the letters must be 2 DIFFERENT vowels (a, e, i, o, u).
a) 6,760,000
b) 3,276,000
c) 20,000
d) 6760
Answer:
c) 20,000
Step-by-step explanation:
Number of digits = 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 0 = 10,
Number of vowel letters = a, e, i, o, u = 5
Repetition of digits is permitted but repetition of vowel letters is not permitted
Let the password be presented in dash form as shown below:
____ ____ ____ ____ ____ =
D D D V V
where:
D = possible number of digits to fill the spot
V = possible number of vowels to fill the spot
Since repetition of digits is permitted, each spot marked as D can be filled with any one of 10 digits from 0 - 9
The first spot marked V has 5 possible options (a, e, i, o, u) & the second spot marked V only has 4 possible options (since repetition of vowels is not permitted).
We then place the number of possibilities in each spot and multiply them to determine the number of passwords possible
10 * 10 * 10 * 5 * 4 = 20,000
Therefore, the number of possible passwords is 20,000
bought a condo for $83,000. Assuming that its value will appreciate 6% per year, how much will the condo be worth in 5 years?
$60,914
$83,000
$104,786
$111,073
The condo will be worth approximately $104,786 in 5 years.
Explanation:To calculate the future value of the condo, we can use the formula: Future Value = Present Value * (1 + Interest Rate)^Number of Years. Given that the condo was bought for $83,000 and will appreciate at a rate of 6% per year, we can substitute these values into the formula to find the future value.
Future Value = $83,000 * (1 + 0.06)^5 = $104,785.81.
Therefore, the condo will be worth approximately $104,786 in 5 years.
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The value of the condo will be approximately $111,073 in 5 years.
To find out how much your condo will be worth in 5 years if it appreciates at 6% per year, you can use the compound interest formula:
Future Value (FV) = Present Value (PV) * (1 + Rate)ᵗᶦᵐ
Here:
Present Value (PV) is $83,000Rate is 6% or 0.06Time is 5 yearsPlug the values into the formula:
FV = 83,000 * (1 + 0.06)⁵
First, calculate the growth factor:
(1 + 0.06) = 1.06
Next, raise the growth factor to the power of 5:
1.06⁵ = 1.3382
Finally, multiply this result by the present value:
83,000 * 1.3382 = $111,073.
1/4 of all telephones at the office have built-in speaker phones 1/2 of the phone with the built in speaker phones have conference call capability how many of the phones in the office have both speakerphone and conference call capability
Answer:
1/8
Step-by-step explanation:
1/2 of 1/4 is 1/8
Connor is five years older than Charlie. If the product of their ages is 14, find Connors age and Charlie’s age
Complete the solution of the equation. Find the
value of y when x equals -8.
-x – 4y = 16
Enter the correct answer.
DONE
OOOO
OOO
Clear all
EO
Final answer:
To solve for y when x equals -8 in the equation -x - 4y = 16, we substitute x with -8 and simplify the equation step-by-step to find y = -2.
Explanation:
To complete the solution of the equation and find the value of y when x equals -8, we need to substitute x with -8 in the given equation -x - 4y = 16. Let's solve the equation step-by-step:
Substitute x with -8: -(-8) - 4y = 16.Simplify the equation: 8 - 4y = 16.Subtract 8 from both sides: -4y = 16 - 8.Simplify the right side: -4y = 8.Divide both sides by -4 to solve for y: y = 8 / -4.Therefore, y = -2.The value of y when x equals -8 is -2.
You invested $10,000 into two accounts: one that has a simple 3% interest, the other with 2.5% interest. If your total interest payment after one year was $283.50, how much was in each account after the year passed?
Answer:
3300 was on 3% and 6700 on 2,5%
Step-by-step explanation:
We can say that 'a' represents the price that will go on 3% interest and 'b' 2,5% interest.
Therefore;
a + b = 10 000
And
0,03a + 0,025b = 283.5 (0,03 means 3% etc)
You can move 'b' to the other side to leave 'a' on the LHS
0,03a = 283.5 - 0,025b - - > (divide both sides by 0,03)
a=9450 - 0,8333b
Substitute this equation as 'a' in the first equation to get:
9450 - 0,8333b + b = 10 000 (move 9450 to the RHS to leave values with b on the LHS)
-0,8333b + b = 10 000 - 9450
0,1666b = 550 (divide both sides by 0,1666)
b = 3,300
Therefore 'a' will be :
a= 10 000 - 3 300
a = 6700
I hope this helps.
After solving the system of equations, the amount in the account with 3% interest was $844.50 and the amount in the account with 2.5% interest was $9155.50 after one year.
Explanation:Let's assume the amount invested at 3% interest is x and the amount invested at 2.5% interest is y. We can set up the following system of equations:
x + y = 10000 (equation 1)
0.03x + 0.025y = 283.50 (equation 2)
Multiply equation 1 by 0.03 and equation 2 by 100 to eliminate decimals:
0.03x + 0.03y = 300 (equation 3)
3x + 2.5y = 28350 (equation 4)
Now, subtract equation 3 from equation 4:
3x + 2.5y - 0.03x - 0.03y = 28350 - 300
Simplify:
2.97x + 2.47y = 28050 (equation 5)
Multiply equation 1 by 2.47 and equation 2 by -2.97 to eliminate y:
2.47x + 2.47y = 24700 (equation 6)
-2.97x - 2.97y = -842.25 (equation 7)
Add equation 6 and equation 7:
2.47x + 2.47y - 2.97x - 2.97y = 24700 - 842.25
Simplify:
-0.5x = -422.25
Divide both sides by -0.5:
x = 844.50
Substitute the value of x back into equation 1:
844.50 + y = 10000
Subtract 844.50 from both sides:
y = 9155.50
Therefore, there was $844.50 in the account with 3% interest and $9155.50 in the account with 2.5% interest after one year passed.
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Which equation represents a line that has a slope of -5 and an X- intercept of 7?
Answer:
y=-5x+35
Step-by-step explanation:
Use the formula y = mx + b
m = slope, so plug in -5 as the slope
To find x-intercept we set y=0
We want the x-intercept to be 7 so we can plug that into the equation too
0=-5(7)+b
Lastly solve for b and you get your answer
The correct option is b.
The equation of the line with a slope of -5 and an x-intercept of 7 is y = -5x + 35.
Explanation:The equation that represents a line with a slope of -5 and an x-intercept of 7 is y = mx + b, where m is the slope and b is the y-intercept.
Given that the slope is -5 and the x-intercept is 7, we can substitute these values into the equation to get y = -5x + b.
To find the value of b, we can substitute the x-intercept (7) and y-intercept (0) into the equation and solve for b. Plugging these values in, we get 0 = -5(7) + b. Solving for b gives us b = 35.
Therefore, the equation of the line is y = -5x + 35.
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The complete question is given below:
Which equation represents a line that has a slope of -5 and an X- intercept of 7?
a. y = 5x + 35
b. y = -5x + 35
c. y = -5x - 35
d. y = 35x -5
Recently students at a middle school went on a field trip to a museum.The circle graph shows what percent of the students were in each grade. Of the 700 students on the fed trip’ how many were 6th graders
Answer:
Do you have a pic of the pie chart, or can you type in the percentages?
Step-by-step explanation:
-x+3y= 6
x + 3y = 18
Answer:
x = 6
y = 4
Step-by-step explanation:
-x + 3y = 6 → times (-1)
x + 3y = 18
x - 3y = -6
x + 3y = 18
________ -
__-6y = -24
___y = -24/-6
___y = 4
x - 3y = -6
x - 3(4) = -6
x - 12 = -6
x = -6 + 12
x = 6
Answer:
x = 6, y = 4
Step-by-step explanation:
-x + 3y = 6
x + 3y = 18
If you are looking for x and y it is...
x = 6
y = 4
1. Each group of 5 students in a science class received one project box. Classroom A received 5 boxes. What is a possible number of students in the room?
A. 5
B. 20
C. 10
D. 25
2. Liza and Marta mow lawns during the summer to earn money. Liza determined that she can earn between $6.00 and $6.25 per hour. Marta estimates that she earns between $7.50 and $8.00 per hour. About how much more money will Marta earn than Liza if they each work 22 hours?
A. $25.01 to $45.00
B. $65.01 to $85.00
C. $45.01 to $65.00
D. $5.00 to $25.00
3. Last month, Belinda worked 160 hours at a rate of $10.00 per hour. If her employer retains 9% of her gross salary, is $1,500 a reasonable estimate of her net salary?
A. Yes, because $1,500 is close to
B. No, because $1,300 is a better estimate.
C. No, because retaining 10% of her salary would leave her with about $1,350.
D. Yes, because her salary will be a bit more than
Answer:D because if one group received one box each group it would most likely be 25 students
Step-by-step explanation:
Answer:
1 is 25
Step-by-step explanation:
Subtract:
–57 – 19 –16
Question 13 options:
A)
–76
B)
–35
C)
–73
D)
–92
Answer:
it's answer is D -92
As -57-19-16= -92
Answer:
D)
–92
Step-by-step explanation:
–57 – 19 – 16 =
= - (57 + 19 + 16)
= - (+ 92)
= - 92
Which one of these is not like the others? [Things to think about, but not limited to…… what way does the graph open? Signs of the quadratic term, linear term, constant term? Domain? Range? You might also put them into desmos.com and look at the graphs!]
Function 1: y = 6x^2 - 4x - 8
Function 2: y = 3x^2 - 3x + 1
Function 3: y = -2x^2 + x + 5
Function 4: y = 0.5x^2 - 5x + 3
Answer:Function3
Step-by-step explanation:
Plot the two decimals on the number line below 0.43, 0.39. Write an inequality comparing the two decimals. Explain your answer using the number line
Answer:
See the image below.
Step-by-step explanation:
The decimals 0.43 and 0.39 are equivalent to 43/100 and 39/100. These decimals lie between 0 and 1.
Draw a number line, mark off and label the multiples of 0.10(e.g 0.10, 0.20) in the interval 0-1.
Mark 0.43 between 0.4 and 0.5, a little closer to 0.4.
Mark 0.39 between 0.3 and 0.4, just behind 0.4.
Since 0.39 is smaller than 0.43( 0.39 lies on the left to 0.43), the inequality is:
0.39<0.43
HELP FAST!!!!!! PLEASE
can anyone help with the statements and reasons have been on this for a while :/
Answer:
statement: 2. both pairs of parallel lines are congruent
reason: 2. def. of a parallelogram
and that should be all you need