Question 10 (2 points)
A square table 4 feet on each side has two drop leaves, each a semicircle 4 feet in diameter.
Find the area of the table with and without the drop leaves.
1) With Drop Leaves (Semicircles are attached to table) =
ft. 2
2) Without Drop Leaves (Semicircles are not attached to table)
ft 2
4 ft
|4ft
Answers
Answer:
Area of table with leaf = 28.56 feet²
Area of table without leaf = 16 feet²
Step-by-step explanation:
Given:
Side of square table = 4 feet
Diameter of side leaf = 4 feet
Number of semicircle leaf = 2
Find:
Area of table without leaf
Area of table with leaf
Computation:
Area of square = Side x Side
Area of table without leaf = 4 x 4
Area of table without leaf = 16 feet²
Radius of side leaf = Diameter of side leaf / 2
Radius of side leaf = 4 / 2
Radius of side leaf = 2 feet
Area of table with leaf = Area of table without leaf + 2[πr²/2]
Area of table with leaf = 16+ 2[πr²/2]
Area of table with leaf = 16+ (3.14)(2)²
Area of table with leaf = 16+ (3.14)(4)
Area of table with leaf = 16+ 12.56
Area of table with leaf = 28.56 feet²
Related Questions
Part 3a. NO LINKS. Find the measure of the arc or angle indicated.
Answers
9514 1404 393
Answer:
99°
Step-by-step explanation:
Arc YZ is twice the measure of angle X, so is 136°. The sum of the arcs of a circle is 360°, so the unknown arc is ...
360° -136° -125° = 99° . . . . measure of arc XZ
Answer:
Solution given:
<x=68°
arc XY=125°
arc XZ=?
we have
<X+<W=180°[sum of opposite angle of a cyclic quadrilateral is supplementary]
<W=180°-68°=112°
Now
arc YZ=2×112°=224°[central angle is equal to the twice of its inscribed angle]
arc YZ=224°
arc XY +arc YZ=224°
125°+arc YZ=224°
arc YZ=224°-125°
arc YZ=99°
the measure of the arc or angle indicated is 99°.
2 tables 8 chairs. 1 5/8 quarts paint for 2 tables and 2/3 quarts paint for 8 chairs. How many total quarts paint should you bring for this furniture
Answers
Answer:
2 7/24
Step-by-step explanation:
1 5/8 + 2/3
1 15/24 + 16/24
1 31/24 = 2 7/24
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Researchers conduct a study to evaluate the level of pollution present in a river. They selected several locations along the river and then take a sample of water from each location.
What is the population under study?
A. The water in the river
B. River water in the county where researchers are working
C. Water in a lake fed by the river
D. The water collected by researchers
Answers
Answer:
a
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
WHAT HAPPENS WHEN NON-METALLIC ELEMENTS ARE COMBINED
Answers
mrs. freeman is paying for a $20 meal. she has a 15% off coupon for the meal. after the discount , a 7% sales tax is applied.
what does mrs freeman pay for the meal
Answers
Answer:
Lin's father pay for the meal is $18.19
Step-by-step explanation:
Given:
Lin’s father is paying for a $20 meal.
He has a 15%-off coupon for the meal.
After the discount, a 7% sales tax is applied.
Now, to get the amount Lin's father pay for meal.
So, we deduct the 15% discount first:
$20 - 15% of $20.
Then, adding 7% sales tax:
$17 + 7% of $17
Therefore, Lin's father pay for the meal is $18.19.
The area of a rectangle is 77ft, and the length of the rectangle is 3 more than twice the width. Find the dimensions of the rectangle.
Answers
Answer:
W = 11/2, L = 14 sq ft
Step-by-step explanation:
Area = 77ft
L = length, W = width
L = 3 + 2W
L * W = 77
Plug W in to find the L
The diameter is 24 cm. Find the
length of arc CD
Answers
Answer:
s = 4π Exact answer
s = 12.56 Decimal approximation
Step-by-step explanation:
cicrumference = πd
s = (∅/360)(πd)
s = (60/360)(π * 24)
s = 4π Exact answer
s = 4 * 3.14
s = 12.56 Decimal approximation
The length of a rectangle is 5 cm longer than its width.
If the perimeter of the rectangle is 42 cm, find its area.
Answers
Answer:
The area is 104
Step-by-step explanation:
Length: 5 + x
width: x
(5+x)*2=10+2x
x*2=2x
2x+10+2x=42
10+4x=42
-10 -10
4x=32
/4. /4
x=32
5+8=13
13*8=104
Type the correct answer in each box.
Consider the table modeling function f.
-2
-1
0
1
2
-28
-9
-2
-1
0
Complete the table modeling the inverse of function f.
-1
0
4–1()
-2
0
Answers
The screenshot is the correct answers
The table modeling the inverse of function f is,
[tex]x[/tex] [tex]f^{-1}(x)[/tex]
-28 -2
-9 -1
-2 0
-1 1
0 2
What is function?"It defines a relation between input and output values.""In function, for each input there is exactly one output."What is inverse function?"A function g is the inverse of a function f if whenever y = f(x) then x = g(y)"
For given question,
We have been given a table modeling function f.
x f(x)
-2 -28
-1 -9
0 -2
1 -1
2 0
We need to complete the table modeling the inverse of function f.
We know that the inverse of function y = f(x) is [tex]x=f^{-1}(y)[/tex]
For given function f(x), we find inverse of f(x)
[tex]x[/tex] [tex]f^{-1}(x)[/tex]
-28 -2
-9 -1
-2 0
-1 1
0 2
Learn more about the inverse of function here:
https://brainly.com/question/20663378
#SPJ2
Can someone help me or explain how to find the missing value from the simple interest?
Answers
A drone is flying at the maximum allowed altitude of 400 ft. The angle of depression to the landing pad is 65°. What is the horizontal distance from the drone to the landing pad? Round your answer to the nearest foot. Dashed horizontal line y equals 400 is drawn. A 65 degree angle of depression from begin ordered pair 0 comma 400 end ordered pair is drawn down to the horizontal axis. Enter your answer in the box.
Answers
Answer:
187 feet
Step-by-step explanation:
Tan = opp/adj
tan65 = 400/adj
adj = 400/ tan65
adj = 186.523063261999437
Rounded
187 feet
How to solve this problem. Please! Urgent
log 3+ loga(a^3)
Answers
log 3 + 3log a ( a ) =
log 3 + 3 × 1 =
log 3 + 3 =
0.4771 + 3 =
3.4771
Jessica is getting ready for college she needs to have an
overall grade of 85 in her Math class to qualify for the college that
she wished to attend. Her math grade is based solely on her
scores on 6 exams. On the first 5 exams her scores were 87, 81,
85, 90, 78. Write an inequality that represents her predicament.
What does score does she need to get on her last test to qualify?
Answers
Answer:
Step-by-step explanation:
ask cymath it will help you with any mathmatical problem
Write the quadratic equation in standard form:
8x2=8x + 13 + 4x2
Answers
| means square root btw
and i put / to make it a fraction
What is remainder one as a fraction?
Answers
Answer:
We have a remainder of 1, which we want to write as a fraction. We divide the 1 by 3. The fraction is 1 / 3 .
Step-by-step explanation:
Answer:
We have a remainder of 1, which we want to write as a fraction. We divide the 1 by 3. The fraction is 1 / 3 .
Step-by-step explanation:
What is the value of the expression below?
-7(-2)
Answers
Answer:
14
Step-by-step explanation:
-7*-2=14
The equation below represents the trend line of a scatter plot showing the hours spent studying versus science test scores. y = 6.5 x + 42.4
The equation below represents the trend line of a scatter plot showing the hours spent studying versus math test scores. y = 7.2 x + 34.7
If a student does not study for either test, on which test should the student expect the higher score?
A) on the science test because the rate of change is greater
B) on the math test because the rate of change is greater
C) on the science test because the y-intercept is greater
D) on the math test because the y-intercept is greater
Answers
Answer: C: on the science test because the y-intercept is greater
Step-by-step explanation: I got the question right on edge.
Answer:
C
Step-by-step explanation:
given: <1 congruent to <2
prove: AB is congruent to CB
Answers
Answer:
Because 3 and 2 are vertical angles
Step-by-step explanation:
Vertical angles are always equal or congruent
Solve, using linear combination.
3x – y = 4
2x + y = 6
Answers
Answer:
Point form: 2.2
Equation form: x=2, y=2
Answer:
3x-y+2x+y =4+6
5x. =10
x =2
y=6-4
y=2
Wavelength and Frequency
A chord consists of notes that sound good together. the C major chord, starting at middle C, has the following frequencies:
C - 262 Hz
E - 330 Hz
G - 392 Hz
Determine the ratio of the frequency of G to C. Express the answer in a simple integer ratio. (Due to rounding the ratio will be approximate. )
a. 5 to 4
b. 3 to 2
c. 6 to 5
d. 9 to 8
Please select the best answer from choices provided
Answers
Answer:
B. 3 to 2
Step-by-step explanation:
I calculated it logically
The ratio of the frequency of G to C is 1.5. So, option b is correct.
What is meant by frequency ?Frequency of a wave is defined as the number of oscillations completed by the wave in one second.
Here,
The frequency of note G, f(G) = 392 Hz
The frequency of note C, f(C) = 262 Hz
The ratio of the frequency of G to C, r = frequency of G/frequency of C
r = f(G)/f(C)
r = 392/262
r = 1.496 approximately r = 1.5
Hence,
The ratio of the frequency of G to C is 1.5
To learn more about frequency, click:
https://brainly.com/question/30333783
#SPJ7
A book is 14 centimeters wide. Convert this width to inches.
The width of the book is __.
(Round to two decimal places as needed.)
Answers
Answer:5.5
Step-by-step explanation:
The key is to divide by 2.54. It was not terminating so I rounded.
ls Figure A'B'C'D' a translation of Figure ABCD? (Click in the picture to see the rest
Answers
Answer:D
Step-by-step explanation: It is none of them because it is translated up one unit and then reflected across the y axis.
PLEASE HELP!! Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. Match the trigonometric ratios with their values based on the triangle shown in the diagram
Answers
this is the answer on edmentum
The matching will be given below.
12/25 = sin D × cos D3/5 = sin D16/15 = cos C × tan D4/5 = sin CWhat is a right-angle triangle?It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.
The value of sin C will be
sin C = 3 / 5
The value of sin D will be
sin D = 4 / 5
The value of cos C will be
cos C = 4 / 5
The value of cos D will be
cos D = 3 / 5
The value of tan C will be
tan C = 3 / 4
The value of tan D will be
tan D = 4 / 3
The product of sin D and cos D will be
sin D × cos D = (4 / 5) × (3 / 5)
sin D × cos D = 12 / 25
The product of tan C and tan D will be
tan C × tan D = (3 / 4) × (4 / 3)
tan C × tan D = 1
The product of cos C and tan D will be
cos C × tan D = (4 / 5) × (4 / 3)
cos C × tan D = 16 / 15
Then the matching will be given below.
12/25 = sin D × cos D3/5 = sin D16/15 = cos C × tan D4/5 = sin CMore about the right-angle triangle link is given below.
https://brainly.com/question/3770177
#SPJ5
How many sides do 2 octagons, 4 pentagons, and 5 triangles have in all?
Answers
Answer: 51
Step-by-step explanation:
2 octagons have 16 sides because an octagon has eight sides. So, 8x2=16.
4 pentagons have 20 sides because a pentagon has 5 sides. So, 4x5=20.
5 triangles have 15 sides because a triangle has 3 sides. So, 5x3=15.
In all, 16+20+15= 51
Can someone please help?
Answers
Answer:
Step-by-step explanation:
1/4 < 3/8
Answer:
The third one, 1/4 < 3/8
Step-by-step explanation:
The sign < means 3/8 is bigger than 1/4
find the slope of the line through each pair of points (19,-2) (-11,10)
Answers
Answer:
[tex]\huge\boxed{-\frac{2}{5}}[/tex]
Step-by-step explanation:
The slope of a line can be determined from two points via the slope formula. This is usually defined as the change in y divided by the change in x. It’s commonly represented using this formula:
[tex]\displaystyle \frac{\Delta y}{\Delta x}[/tex]Where [tex]\Delta[/tex] represents “change in.”
The slope is basically just saying the rate of increase/decrease a function has when x increases by 1 - how much does y change when x increases by 1? We can find this by taking larger values and dividing by the rate at which we took the larger values. This derives the slope formula.
We can find the change in y and x in this function by analyzing the two points given. If we look at the change between each point, we can get the change since this is a line and thus has a constant slope.
The change in y will be 12. This is because from -2 to 10 is 10 units - [tex]10 - (-2) = 12[/tex] The change in x will be -30. This is because from 19 to -11 is -30 units - [tex]-19 -11 = -30[/tex]Now that we have our change in x and y, we can substitute these values into the slope formula.
[tex]\displaystyle \frac{\Delta y}{\Delta x}[/tex] [tex]\displaystyle \frac{12}{-30}[/tex] [tex]\displaystyle -\frac{12}{30}[/tex] Simplify - divide numerator and denominator by 6 [tex]\displaystyle -\frac{2}{5}[/tex]Therefore, the slope of this line is [tex]-\frac{2}{5}[/tex].
Hope this helped!
HELP!! 10 MIN REMAINING.
How can scientists use a seismograph to determine the density and depth of earths layers.
Answers
Answer:
Scientists can tell by observing the seismic waves that are recorded all over the surface of the earth from distant earthquakes. The seismic waves are reflected (bounced off) layers of different density, and they are refracted (bent) when they enter layers of different density.
Answer:
here now you can give her brainliest
Step-by-step explanation:
Alyssa planted 2 rows of onions and 2 rows of turnips in a garden. Alyssa also
planted 2 a row of oak trees. In total, how many rows of vegetables
did Alyssa plant?
Answers
Answer:
7[tex]\frac{1}{2}[/tex] rows
Step-by-step explanation:
just count the rows! (if she planted half a row then add it as half)
2[tex]\frac{1}{2}[/tex] + 2[tex]\frac{1}{2}[/tex] + 2[tex]\frac{1}{2}[/tex] (you can split it up)
2 + 2 + 2 + [tex]\frac{1}{2}[/tex] + [tex]\frac{1}{2}[/tex] + [tex]\frac{1}{2}[/tex]
6 + 1[tex]\frac{1}{2}[/tex] = 7[tex]\frac{1}{2}[/tex]
A swimming pool is open for 7 1/2hours during a day. The pool keeps one lifeguard on
duty at a time, and each lifeguard's shift is 2 1/2hours long. How many shifts are there
per day?
7 shifts
5 shifts
3 shifts
4 shifts
Answers
Answer:
3 shifts a day
Step-by-step explanation:
7 1/2 hours = 7.5 2 1/2 hours = 2.5
7.5 divided by 2.5 = 3
Answer:
3 shift
Step-by-step explanation:
7 1/2 / 2 1/2
(15/2) / (5/2)
keep, change, flip
(15/2) x (2/5)
30/10 = 3 shifts
50 POINT I NEED HELP BAD
Answers
Answer:
k = 4
Step-by-step explanation:
7k - 6 = 2k + 14
(7k - 2k) - 6 = (2k - 2k) + 14
5k - 6 = 14
5k (- 6 + 6) = 14 + 6
5k = 20
5k/5 = 20/5
k = 4