A rectangular-shaped dining room table is modeled by the figure given below. A) Write an equation to represent the area of the dining room table. B) If the the area of the table is 112 ft2, what are the dimensions of the dining room table?
Answers
Answer:
A) (x+10)(x+4) = ?
B) (x+10)(x+4) = 112, solve for x
Step-by-step explanation: you multiply the two equations to get the area.
Answer:
a)[tex](x^{2} +14x+40)ft^{2}[/tex]
b)14ft, 8ft
Step-by-step explanation:
a) Area of Rectangle = Length x Breadth
= [tex](x+10)(x+4)\\=x^{2} +4x+10x+40\\=(x^{2} +14x+40) ft^{2}[/tex]
b) Given Area of rectangle = [tex]112ft^{2}[/tex]
[tex]x^{2} +14x+40=112\\x^{2} +14x-72=0 (Quadratic Equation)\\\\[/tex]
Quadratic Equations: [tex]ax^{2} +bx+c = 0\\[/tex]
In this case, a = 1, b = 14, c = -72
[tex]\frac{-b+/-\sqrt{b^{2}-4ac } }{2a} \\= \frac{-14+/-\sqrt{14^{2} 4(1)(-72)} }{2(1)} \\= 4 or - 18 (reject)[/tex]
We reject negative values.
so x = 4,
The length of table = (x+10) ft = 4+10 = 14ft
The breadth of the table = (x+4) ft = 4 + 4 = 8ft
Related Questions
Given the conversion factor 12 in/ 1 ft, which has the larger volume?
O A. Cube A
O B. Cube B
O C. They are the same size.
Answers
Answer:
A. Cube A
Given:
Cube A volume = 5832 in³
For Cube B dimension in inches:
1.2 feet = 14.4 in1 feet = 12 in1 feet = 12 inSo Volume of Cube B:
L × B × H = 14.4 × 12 × 12 = 2073.6 in³
Cube A has a larger volume that Cube B.
please help! i suck at these lol
Answers
x is greater than or equal to 3.
A closed/dark dot means that it is equal to and greater/less than, while an open/white one means it is only greater/less than.
Greater than always means traveling towards the positive (right) side, and the opposite for less than.
Therefore your answer is the last option
Hope this helped :)
Answer:
D (Last one)
Step-by-step explanation:
You already know the sign is> with an underline under it, meaning it had to be whole. Next, you need to simplify the equation and you would get the last one.
Find the area of quadrilateral ABCD. [Hint: the diagonal divides the quadrilateral into two triangles.]
Answers
The area of the quadrilateral is 39.84 sq.units.
What is a Quadrilateral?A quadrilateral is a polygon with four sides.
The quadrilateral ABCD is divided into 2 triangles by its diagonal
The area of Quadrilateral will be equal to the sum of the area of tho scalene triangles
The area of a scalene triangle is given by
[tex]\rm A = \sqrt{s (s-a)(s-b)(s-c)[/tex]
s is the semi perimeter = (a+b+c)/2
The sides of the Triangle ADC is 3.54, 17.29, 17.21
and The sides of the Triangle ABD is 7.84, 17.29, 9.59
s for ADC = (3.54+17.29+17.21)/2 = 19.02
s for ABD = 17.36
A for Triangle ADC is = 30.36
A for Triangle ABD is= 9.48
The total area of the quadrilateral is 30.36+ 9.48 = 39.84
To know more about Quadrilateral
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PLEASE HELP!!!!
Which destination on the map is 200 miles from our starting point?
A. Kalano
B. San Remo
C. Nackina
Answers
Answer: B
Step-by-step explanation:
Dilate the figure by the scale factor. Then enter the new coordinates.
K= 3
Answers
Answer:
which figure?????????????????????????????/
Step-by-step explanation:
i
What is the greatest common factor of 253 and 345?
Answers
Answer:
23
Step-by-step explanation:
To find the Greatest Common Factor, or GCF, we need to factor the first 2 numbers and then find the greatest number that is both present in the prime factorization of both numbers.
253 = 1 * 11 * 23
345 = 3 * 5 * 23
Since 23 is both present in both numbers and is the greatest, the GCF of 253 and 345 is 23.
-34, -2 3/4, ____, -1.5, 0, 2.5, 10, 25 1/5
what number is missing
Answers
Answer:
c: -1 9/10
A: -2.5
B: -2
C: -1 9/10
D: -1
After we planted flowers in 2/5 of our garden, 24m squared remained unplanted. How many square meters is this garden in total?
(PLEASE ANSWER ASAP)
Answers
Answer:
60m²
Step-by-step explanation:
24 = 2/5
12 = 1/5
12 × 5 = 60
60 = 5/5
Answer:
60m^2
Step-by-step explanation:
I think
Ruben digs a hole at the beach that is 4.8 feet deep. Brian uses the sand Ruben digs up to build a sand castle that is 2.5 feet tall.
Which statement correctly compares the depth of Ruben’s hole and height of Brian’s castle?
A. |–4.8| > |2.5|
B. |–4.8| < |2.5|
C. –4.8 > 2.5
D. |–4.8| < 2.5
Answers
Answer: Hope this helps you!
A. |–4.8| > |2.5|
Step-by-step explanation:
When, you compare the distance between stuff, you always compare the absolute value of each thing. And even this equation does not ask for the distance between stuff, it still does require you to compare it with absolute value. The negative sign is only their because they are digging up the ground and not adding to the ground. However, when comparing it, we want to find what is deeper, so we use absolute value making it both positive to compare it fairly. However, if it asked which one was less deep you will use the negative signs. But based on this situation, you don't need to.
BRAINLIEST?Answer: give the other person brainliest :)
Step-by-step explanation:
Ken had 5 math quizzes in a month.
Which table can be used to find his mean score on the quizzes?
Answers
Answer:
Choose the top right one.
Step-by-step explanation:
hoped i helped i really hope i helped. can you please please give me crown as well?
Your welcome:)
Need HELP！！！！
Kirsten plans to dig a rectangular-shaped area in her yard for a garden.
She wants the garden to be 16 feet long and 10 feet wide.
1. Kirsten wants to sketch a scale drawing of the garden.
Part A
Draw and label the scale model. Use a scale of 1 inch equals 2.5 feet.
Part B
Kirsten considers enlarging the scale drawing by a scale factor of 4 to
include more details. What would be the new scale and dimensions of
the larger drawing?
2. Kirsten decides that one of the long edges of the garden will be adjacent
to the side of her house. She plans to put a 3-foot-high fence around the
other three sides. If she paints the fence on both sides, what is the total
area that will be painted? Explain.
Answers
Answer:
shortest length of fence is 8485.2 ft
Step-by-step explanation:
Given data
area = 3,000,000 square feet
to find out
shortest length of fence
let length L and width is W
so area is L × W
W = 3 × /L ............1
2W = 6 × /L
rectangular field and then divide it in half
so fencing will be 3 × L + 2 × W
i.e. 3 L + 2W
fencing = 3 L + 6 × /L
fencing minimum = 3 L - 6 × /L²
fencing minimum length will be zero
3 L - 6 × /L² = 0
3 L² = 6 ×
L² = 2 ×
L = 1414.2
so from equation 1
W = 3 × /L
W = 3 × /1414.2
W = 2121.3
so fencing will be 3 L +2 W
so fencing = 3 × 1414.2 +2 × 2121.3
fencing = 4242.6 +4242.6
fencing = 8485.2
shortest length of fence is 8485.2 ft
NO LINKS OR FILES PLEASE!!!!!!
Part B: Starting from the origin, explain how to plot the following three points accurately:
(1, −1)
(−1, 1.25)
(−2, fraction 3 over 4)
Answers
Answer:
refer to the above attachment !
Step-by-step explanation:
Mark as brainlest answer to This answer!
the ratio of students who perfer coke to pepsi is 5 out of 7 if 84 students were serveyed how many students perfer pepsi
Answers
Answer:
24 students prefer pepsi to coke
Step-by-step explanation:
84 divided by 7 is 12
12 times five is 60
84 minus 60 results in 24 students
Answer:
It is 49 students.
Step-by-step explanation:
So, 5:7 in fraction form is 5/12 and 7/12 so when you you multiply 7/12 and 84 you get 48.72 and then you can round your answer to 49 students.
Please help me with this (i attached photos to cause less confusion)
Thanks :) 25 Points!!!
Answers
Answer:
See below
Step-by-step explanation:
The first two questions are slope = 0
a horizontal line has zero slope
slope = rise/run = 0 / run = 0
Greatest y value is + 4 from x = 3 to 4
the least y value is -3 fro x = -4 to -3
slope=rise/run=0
#1) and #2) both are slope=0
greatest y value is +4 from x=3 to 4.
then least y value is -3 from x=-4 to -3.
Select ALL the correct answers.
The number of calls that the employees in a call center took on Wednesday were recorded and combined in the histogram below.
Which of the following statements describe the distribution?
The mean is the best measure of center.
The mean absolute deviation is the best measure of variability.
The interquartile range is the best measure of variability.
The data has one striking deviation.
The data is close together without any outliers.
The data is spread out with no gaps.
The median is the best measure of center.
Answers
Answer:
a-The mean is the best measure of center.
b-The mean absolute deviation is the best measure of variability.
c-The interquartile range is the best measure of variability.
g-The median is the best measure of center.
Step-by-step explanation:
a-The mean is the best measure of center.
b-The mean absolute deviation is the best measure of variability.
c-The interquartile range is the best measure of variability.
d-The data has one striking deviation.
e-The data is close together without any outliers.
f-The data is spread out with no gaps.
g-The median is the best measure of center.
Answer:
a-The mean is the best measure of center.
b-The mean absolute deviation is the best measure of variability.
c-The interquartile range is the best measure of variability.
g-The median is the best measure of center.
Step-by-step explanation:
pls answer 20 points I will mark brainliest
Answers
Answer:
So to find the volume of triangle prism,
Find area of triangle = [tex]\frac{1}{2} (5)(3)=\frac{15}{2} =7.5in^{2}[/tex]
Then find the total volume of triangle prism= 7.5×6=45in³
Volume of triangular prism = 45in³
Now to find the volume of the rectangular piece,
Volume=width×height×length
= 7×3×16
= 336 in³
Volume of rectangular piece = 336in³
Total area= 45in³+336in³=381in³
In Jason's class, 1/2 of the boys have brown eyes, 1/5 of the boys have blue eyes, and 3/10 of the boys have hazel eyes. How many more of the boys have brown eyes than hazel eyes?
Answers
Answer:
2
Step-by-step explanation:
ist you have to lind the lcd of each fraction. that would be 10.
1/2x5/5=5/10 of the boys have brown eyes
1/5x2/2=2/10 of the boys have blue eyes
3/10=3/10 of the boys have hazel eyes
The question is asking to see how many more boys have brown eyes than hazel eyes.
Subtract 3/10 from 5/10
and that gives you 2/10
The answer is 1/5.
We know that half of the boys in Jason's class has brown eyes, while three-tenths of the boys in his class have hazel eyes. Therefore, if we subtract the two values, you should get your answer.
[tex]\frac{1}{2} -\frac{3}{10} =\frac{2}{10}[/tex]
1/5 is the simplified version of 2/10. Therefore, 1/5 is your answer.
Ryan has $100 to buy new clothes. If he buys 3 shirts that cost $29.23 each, including taxes,
how much money will he have left?
Answers
100 - 87.69 =$12.31
I’m not sure if you want to round it off
Or if you need to remove tax
but that’s what I got
Answer
$12.31
Step-by-step explanation:
29.23 x 3 = 87.69
100.00 - 87.69 = 12.31
There are about 30.5 centimeters in a foot. There are 3 feet in a yard. About how many centimeters in a yard? Please explain how you got your answer
Answers
Because there is 30.5 centimeters in one foot, and 3 feet in a yard, you need to multiply 30.5 by 3 for each foot, or 30.5*3=91.5!
Answer:
[tex]10\frac{1}{6}[/tex]
I know im terrible at math, dont tell me lol i need help this app is making this so much easier- 25 pts! fake answers will be deleted, please :)))
Answers
Answer:
1. Infinite
2. Inequality
3. Closed circle
4. Open circle
Brainliest, please :)
2. Inequality
3. Closed circle
4. Open circle
To graph the inequality x > -3, draw an open circle on -3 and shade to the left true or false.
Answers
Answer:
False
Step-by-step explanation:
The first part of the statement is correct with it saying to have an open circle on -3, but the shading should go on the right because x is bigger than -3. When you picture a number line, the numbers on the right of -3 are bigger than the numbers on the left.
The statement " To graph the inequality x > -3, draw an open circle on -3 and shade to the left" is wrong.
What is inequality?When two expressions are connected by a sign like "not equal to," "greater than," or "less than," it is said to be inequitable. The inequality shows the greater than and less than relationship between variables and the numbers.
The first part of the statement is correct, as it states that an open circle should be placed on -3, but the shading should be placed on the right because x is greater than -3. On a number line, the numbers to the right of -3 are larger than the numbers to the left.
To know more about inequality follow
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i attached the question
Answers
Answer:
Step-by-step explanation:
Answer:
8.889%
Step-by-step explanation:
16/180 = 8.889 % First find area of cardboard then find larger area and then divide.
Three-eighths of the students in a certain class are males and 3/5 of the male
students in the class are accounting majors.
If 1/4 of the female students in the class are accounting majors, what fraction of
the students in the class are NOT accounting majors?
Answers
Answer:
3/5 of the students in the class are not in accounting majors
Step-by-step explanation:
The total number of males in the class is 3/8
3/5 of them are accounting majors
The ones who are not in accounting majors are;
3/8 - 3/5 = 9/40
The total number of female students in the class is;
8/8 - 3/8 = 5/8
1/4 of them are accounting majors
The ones who are not in accounting majors are;
5/8 - 1/4 = 3/8
Total number of students not in accounting majors;
9/40 + 3/8
= 24/40
= 3/5
hello, please help me i dont know what 2 do
Answers
Answer:
Greater than
Step-by-step explanation:
you are adding exponent with the same denominator if its easier for you in this example you can set the denominator equal to 10.
Sum= adding
2/5 +4/5 =6/5 or 1 1/5
if you want to do it with the denominator equal to 10 just multiply each side by 2.
(2/5 +4/5)x 2
4/10 + 8/10 = 12/10
Lola started a swimming lesson at 1:30 p.m. that lasted for 45 minutes.
Then she read a book for 35 minutes.
What time did she finish her swimming lesson and what time did she finish reading
Answers
Answer:
She finished swimming lesson at 2:15 p.m.
and reading book at 2:50 p.m.
Step-by-step explanation:
I hope this helped (:
Lola finished her swimming lesson at 2:15 p.m. and read a book at 2:50 p.m.
What are Arithmetic operations?Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions.
Lola's swimming class began at 1:30 p.m. and lasted 45 minutes.
She then spent 35 minutes reading a book.
To determine the time did she finish her swimming lesson and the time did she finish reading.
swimming end time = began time + class duration
swimming end time = 1:30 p.m. + 45 minutes
swimming end time = 2:15 p.m.
reading end time = began time + reading duration
reading end time = 2:15 p.m. + 35 minutes
reading end time = 2:50 p.m.
Thus, she finished her swimming lesson at 2:15 p.m. and read a book at 2:50 p.m.
Learn more about Arithmetic operations here:
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Jenny has 36 cupcakes. How many kids (including Jenny) can share these cupcakes evenly?
The number of kids who can share 36 cupcakes evenly could be:
Answers
36/?
Smallest amount of kids per cupcake is 1
36/1
36 kids
Lou's shoe was 9.178 inches long, Helen's shoe was 7.093 inches long, Jay's shoe was 10.554 inches long and Craig's shoe was 4.112 longer than Helen's. How long will the row of shoes be if someone placed them in a line from end to end?
Answers
Answer:
38.03 in
Step-by-step explanation:
Step 1: Calculate Craig's shoe length.
It's 4.112 in longer than Helen's shoe, which is 7.093 in. So, we simply add those two numbers to get 11.205.
Step 2: Add up all of the numbers
Now that we have everyone's shoe lengths, we just add them all up to get 38.03 in.
Hope this helps!
Answer:
38.03 in.
Step-by-step explanation:
38.03 in.
10 Points!!!
A cheese is in the shape of right prism with a triangular base and its dimensions are as shown. What is the approximate surface area of this prism?
A. 72 cm ²
B. 79.8 cm ²
C. 82 cm ²
D.87.4 cm ²
Answers
Answer:
79.8 cm²
Explanation:
surface area of triangular prism: (a + b + c) × length + base × height
Here given:
a = 3 cm, b = 3 cm, c = 3 cm, length = 8 cm, base = 3 cm, height = 2.6 cm
Inserting the values:
(a + b + c) × length + base × height
(3 + 3 + 3) × 8 + 3 × 2.6
79.8 cm²
More on surface area of triangular prism: https://brainly.com/question/27970162
Can someone help me solve this? Pls and ty!
Answers
Answer:
H. 95°
Step-by-step explanation:
m∠BGC is 10° smaller than m∠CGD, which means that m∠BGC is x° - 10°
m∠DGE is 25° more than m∠EGF, which means that m∠DGE is x° + 25°
The sum of all angles in a placement like this will always equal 360°
So we put all the measures of all angles on one side of thee equation and set it equal to 360*
x° + x° - 10° + 2x° + 25° + 2x° + 3x° + 30° = 360°
After combining like terms we get 9x° + 45° = 360°
After some algebra we get x = 35°
Now at the start we said that m∠DGE is x + 25°
Plug in 35° for x and we get 35° + 25°
The final answer is m∠DGE = 95°
Edit: Sorry if my answer looks a bit confusing. This is actually my first answer on Brainly so I'm quite new to this experience.
HELP MEEEE Distances in space are measured in light-years. The distance from Earth to a star is 6.8 × 10^13 kilometers. What is the distance, in light-years, from Earth to the star (1 light-year = 9.46 × 10^12 kilometers)?
Answers
Answer:
≈ 7.188 LY
Step-by-step explanation:
1 LY = 9.46 * 10¹²
S = 6.8 * 10¹³
S = 6.8 * 10¹³/9.46 * 10¹² ≈ 7.188 LY