The figure below shows two half circles at the end of a rectangle with the dimensions shown. Which is closest to the area of the figure in square inches.
75
95
106
154
Answers
My attached picture has two diagrams one for each case (attached to long sides or short sides). I labeled them A and B so let's do A (the semi circles are attached to the short sides of the rectangle).
A
The area of a rectangle is given by A = length x width.
The area of the rectangle in the picture is (15)(5)=75 square inches.
The area of a circle is [tex]A= \pi r^{2} [/tex] where r is the radius. The length of 5 you see is the diameter (it goes all the way across the circle through the center. The radius is half of this so it is 5/2 = 2.5
The area of the semi circles is the same so if we put them together we would get a whole circle. The area of this circle is [tex] \pi ( 2.5^{2} )=6.25 \pi [/tex] square inches.
The area of the whole figure is what we get when we add the area of the circle and rectangle. Since none of the answer choices have pi in them let's use 3.14 as an approximation for pi. The whole figure has area: [tex]75+6.25 \pi =75+(6.25)(3.14)=94.625[/tex] which makes 95 the right answer.
B
If the semi circles are attached to the long side of the rectangle the total area is given by the following (read section A for HOW it's found): [tex](15)(5)+ \pi (15^{2} )=781.5[/tex] As this is NOT one of the answer choices so my guess is your picture looks like A.
Related Questions
6.3% of 41 is?
a. 2.6
b. 6.5
c. 258.3
d. 650.8
Answers
a✓
please help.
solve the inequality |6 - v| < 9
write the inequality as two inequalities with the absolute value and give a solution set.
Answers
-15 < -v < 3 . . . . . subtract 6
-3 < v < 15 . . . . . . multiply by -1
Maria plans to fill pots in her garden with soil and plant food. Maria has 8 1/2 quarts of soil as 1 1/2 quarts of plant food. Each pot requires 3/4 quart of soil. For how many pots does Maria have enough soil?
Answers
- Maria has 8 1/2 quarts of soil.
- Each pot requires 3/4 quart of soil.
2. Keeping this on mind, you can convert the mixed number 8 1/2 and the fracion 3/4 to decimals, as below:
8 1/2=8.5 quarts
3/4=0.75 quarts
3. Therefore, you have:
1 pot-----0.75 quarts
x-----8.5 quarts
x=(8.5x1)/0.75
x=11 pots
For how many pots does Maria have enough soil?
The answer is: 11 pots
Abby walked miles on Monday, miles on Tuesday, and miles on Wednesday. What is the total distance Abby walked in the three days?
a. miles
b. miles
c. miles
d. miles
Answers
Answer:WE Cant se the numbers
Step-by-step explanation:the ancwer would be 7 and 7/12
2, 4, 6, 8, 10
I know this diverges but what is the limit?
Also, is there a limit with numbers that repeat? (ie: -1,1,-1,1...(-1)^n)
Answers
[tex]$\lim_{n\to\infty}\,2n=\infty[/tex]
2. In this case limit does not exist.
Use the formula V = s³, where V is the volume and s is the edge length of the cube, to solve this problem.A cube-shaped bin has an edge length of 34 yard.What is the volume of the container? Enter your answer, as a fraction in simplest form, in the box.
Answers
To find the volume, you simply have to use the formula that is given. It is V = s^3. This means you multiply the side by itself 3 times.
S x S x S = V
34 x 34 x 34 = 39304 cubic yards
what is the sum of
2(5a-4a)+6a
Answers
5a - 4a = a
Then you would multiply 2 by a, which would equal 2a.
Finally, combine all like terms (all terms with a), to get 8a. (2a + 6a = 8a)
Hope this helps!
We need to open the brackets and distribute the 2
However, we can see that both the terms within the parenthesis are like terms
5a - 4a = 1a or a
2(1a) + 6a
2a + 6a We can combine the like terms
= 8a
If the function graphed is f(x), find f(1).
A) -4
B) -1/4
C) 0
D) 4
Answers
-----------------------------------------------
Step 1) Draw a vertical line through 1 on the x axis
Step 2) Mark the point where the vertical line and the blue curve intersect (or cross each other)
Step 3) Draw a horizontal line through the point marked in step 2. Note how this horizontal line goes through -4 on the y axis.
So the point (1,-4) is on the blue curve. This means if x = 1 is the input then y = -4 is the output. Recall that y = f(x). So f(x) = -4 is the output as well when the input is x = 1.
In short, this is why f(1) = -4
If the clock has a radius of 15 inches, how many inches of ribbon will terry need to use to surround the clock?
Answers
r=15 inches
C=2*3.14*15=94.20 inches of ribbon
12 ticket sellers, 25 cleaning persons, and 15 ushers employees will be paid $10, $7.50, 8.50 per hour for 50 hours per month what is the monthly salary
Answers
Ticket Sellers
----------------------------------------------------------
1 ticket seller = $10 x 50
1 ticket seller = $500
12 ticket sellers = $500 x 12
12 ticket sellers = $6000
----------------------------------------------------------
Cleaning person
----------------------------------------------------------
1 cleaning person = $7.50 x 50
1 cleaning person = $ 375
25 cleaning person = $375 x 25
25 cleaning person = $9375
----------------------------------------------------------
Ushers
----------------------------------------------------------
1 usher = $8.50 x 50
1 usher = $425
15 ushers = $425 x 15
15 ushers = $6375
----------------------------------------------------------
Total
----------------------------------------------------------
$6000 + $9375 + $6375 = $21750
----------------------------------------------------------
Answer: Total monthly salary per month = $21750
----------------------------------------------------------
which are the solutions of the quadratic equation x^2=9x+6
Answers
The solutions of the quadratic equation [tex]\(x^2 = 9x + 6\)[/tex]are:
[tex]\[x = \frac{9 + \sqrt{105}}{2}\][/tex] and [tex]\[x = \frac{9 - \sqrt{105}}{2}\][/tex]
To find the solutions of the quadratic equation [tex]\(x^2 = 9x + 6\)[/tex], we need to rewrite it in standard quadratic form [tex]\(ax^2 + bx + c = 0\).[/tex]
Given:
[tex]\[x^2 = 9x + 6\][/tex]
Subtract [tex]\(9x\) and \(6\)[/tex] from both sides to get it in standard form:
[tex]\[x^2 - 9x - 6 = 0\][/tex]
Now, to solve this quadratic equation, we can factor it or use the quadratic formula:
The quadratic formula is:
[tex]\[x = \frac{-b \pm \sqrt{b^2-4ac}}{2a}\][/tex]
For our equation:
[tex]\[a = 1, b = -9, \text{ and } c = -6\][/tex]
Substituting these values into the quadratic formula:
[tex]\[x = \frac{-(-9) \pm \sqrt{(-9)^2-4(1)(-6)}}{2(1)}\]\[x = \frac{9 \pm \sqrt{81+24}}{2}\]\[x = \frac{9 \pm \sqrt{105}}{2}\][/tex]
So, the solutions of the quadratic equation [tex]\(x^2 = 9x + 6\)[/tex]are:
[tex]\[x = \frac{9 + \sqrt{105}}{2}\][/tex] and [tex]\[x = \frac{9 - \sqrt{105}}{2}\][/tex]
helppppppppppppppppppppp
Answers
1.796
Explanation:
log base 6 of 25 can be rewritten as:
log base 6 of (5^2) = 2 * log base 6 of 5
= 2 *0.8982
= 1.7965
Hope this helps :)
Carbon-14 has a half-life of 5,730 years. If the age of an object older than 50,000 years cannot be determined by radiocarbon dating, then
* carbon-14 levels in a sample are undetectable after approximately ten half-lives.
* carbon-14 levels in a sample are undetectable after approximately nine half-lives.
* the half-life of carbon-14 is too long to accurately date the object.
* a radioisotope with a shorter half-life should be used to date the object.
Answers
Nine half-lives pf carbon 14 is 51,570 years.
Source:
https://en.wikipedia.org/wiki/Radiocarbon_dating
99pts WILL GIVE BRAINLIEST Use the diagram and given information to answer the questions and prove the statement. Given: X Z
Prove: [see image] Re-draw the diagram of the overlapping triangles so that the two triangles are separated.
What additional information would be necessary to prove that the two triangles, XBY and ZAY, are congruent?
What congruency theorem would be applied?
Prove using a list/flow chart proof.
Answers
Statements [Reasons]
1. Angle X is congruent to Angle Z [Given]
2. Line XY is congruent to Line YZ [Given]
3. Angle Y is congruent to Angle Y [Congruence is reflexive]
4. Triangle XBY is congruent to Triangle ZAY [ASA]
ANSWER: The ASA (Angle Side Angle) Congruency Theorem could be applied.
find the perimeter of the quadrilateral. if x = 2 the perimeter is ___ inched.
Answers
3(2^2) -5(2)+20 = 12 - 10 + 20 = 22
4(2^2) +8(2) = 16 + 16 = 32
P = 31 + 44 + 22 + 32 = 129
answer
129 inches
Answer:
Perimeter is 129 inches.
Step-by-step explanation:
We are given,
A quadrilateral with sides lengths [tex](4x^2+8x),(3x^2-5x+20),(7x+30),31[/tex] inches.
Now, the values of the side lengths when x = 2 are,
[tex](4x^2+8x)=(4\times 2^2+8\times 2)=(4\times 4+16)=16+16=32\ inch\\\\(3x^2-5x+20)=(3\times 2^2-5\times 2+20)=(3\times 4-10+20)=12+10=22\ inch\\\\(7x+30)=(7\times 2+30)=14+30=44\ inch[/tex]
Since, Perimeter of a quadrilateral = Sum of its sides.Then, Perimeter of given quadrilateral = 32 + 22 + 44 + 31 = 129 inches.
Hence, the perimeter is 129 inches.PLZ HELP ME ON THIS
PLZ EXPLAIN IT TO ME
Answers
80 * 5 = 400
Hope it helps
What is the missing value in the following arithmetic sequence?
Answers
so
5.6 + 1.8 = 7.4
missing is 7.4
answer is C. 7.4
Answer:
Step-by-step explanation:
Alright, lets get started.
The first term is 2 and the second term is 3.8.
It means the common difference is [tex]3.8-2 = 1.8[/tex]
So, adding common difference :
First term = 2
Second term = 3.8
Third term = [tex]3.8+1.8=5.6[/tex]
Fourth term = [tex]5.6+1.8 = 7.4[/tex]
So the answer is 7.4 : answer
Hope it will help :)
Which statements correctly use the properties of exponents to simplify? Check all that apply.
(xy2)2 = x2y4
x3x3 = x6
3y–2 =
2(x2)3 = 8x6
–x2(–x3) = –x6
Answers
Answer:
1 2 and 3
Step-by-step explanation:
30 POINTS + BRAINLIEST! SHOW YOUR WORK FOR BRAINLIEST PLEASE!
Answers
2x + 3 + 4x + 3 = 180o
6x + 6 = 180
6x = 174
x = 174 / 6
x = 29
C = 2x + 1
C = 2*29 + 1
C = 59o
2x+3+4x+3= 180o 6x+6=180 6x=174 174/6 29
2x+1 (2)29+1 59o
Step-by-step explanation:
The mean of 10,12,16,20,p,26 is 17.Find the value of p.
Answers
17 * 6 = 102
10 + 12 + 16 + 20 + 26 = 84
p = 102-84 = 18
p = 18
__________________________________________________
Explanation:
__________________________________________________
The [arithmetic] mean =
{the sum of all the values in the data set}
divided by {the number of values in the number set} ;
__________________________________________________
→ 17 = (10 + 12 + 16 + 20 + 26 + p) / 6 ;
__________________________________________________
→ (10 + 12 + 16 + 20 + 26 + p) = 17 * 6 ;
→ (p + 84) = 102
Subtract "84" from each side of the equation;
to isolate "p" on one side of the equation; & to solve for "p" ;
→ p + 84 – 84 = 102 – 84 ;
→ p = 18 .
_________________________________________________
The answer is: " p = 18 " .
_________________________________________________
The sales tax on a $250 computer is 17.50. find the sales tax rate.
Answers
[tex]\bf \begin{array}{ccll} amount&\%\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 250&100\\ 17.50&t \end{array}\implies \cfrac{250}{17.50}=\cfrac{100}{t}\implies t=\cfrac{17.50\cdot 100}{250}[/tex]
What is the term for a Wage and Tax statement and what is it’s purpose?
Answers
You buy 3 grapefruits for $1.50, a pound of apples for $.79, some grapes for $2.50, and some bananas for $1.21. Find the total cost of the fruit.
Answers
Happy studying!
3. Divers looking for a sunken ship have defined the search area as a triangle with adjacent sides of length 2.75 miles and 1.32 miles. The angle between the sides of the triangle is 35. To the nearest hundredth, find the search area. 2.08 mi²
2.97 mi²
1.49 mi²
1.04 mi²
Answers
Answer:
2.08 mi²
Step-by-step explanation:
Since, the area of the triangle is,
[tex]A=s_1\times s_2\times sin \theta[/tex]
Where, [tex]s_1[/tex] and [tex]s_2[/tex] are adjacent sides and [tex]\theta[/tex] is the included angle of these sides,
Here, [tex]s_1[/tex] = 2.75 miles,
[tex]s_2[/tex] = 1.32 miles,
And, [tex]\theta[/tex] = 35°,
hence, the area of the given triangle is,
[tex]A=2.75\times 1.32\times sin 35^{\circ}[/tex]
[tex]= 3.63\times 0.57357643635[/tex]
[tex]= 2.08208246395\approx 2.08\text{ square miles}[/tex]
a building in san francisco is shaped like a square pyramid it has a slant height og 856.1 feet and each side of its base is 145 feel long find the lateral area of the building
Answers
for a Square Pyramid
[lateral area]=4*[a*s/2]--------> 2aS
where
a is the length side of the square base
S is the slant height
a=145 ft
S=856.1 ft
[lateral area]=2*145*856.1---------> 248269 ft²
the answer is 248269 ft²
Find the product of (x + 5)(x − 5). (1 point)
x2 − 10x + 25
x2 + 10x + 25
x2 − 25
x2 + 25
Answers
x^2-5x+5x-25 = x^2-25
Please help me answer
Answers
2. transitive prop of equality
3. subtraction property of equality
El lote de la familia lópez tiene un lote de 16m*10m y se desea construir una casa de base rectangular en el centro de el.¿que dimensiones debe tener el rectángulo del piso de la casa si tiene un área de 91m2?
Answers
If the house is to be centered, we will take the same amount from the width as we do from the length of the lot for the dimensions. This gives us (10-x) and (16-x) as the dimensions.
The area of a rectangle is found by multiplying the length and width:
(10-x)(16-x) = 91
Multiplying the binomials we have:
10*16 - x*10 - x*16 -x*(-x) = 91
160 - 10x - 16x --x² = 91
160-10x-16x+x² =91
Combine like terms:
160-26x+x²=91
Rewrite this in standard form:
x²-26x+160=91
Subtract 91 from both sides:
x²-26x+160-91 = 91-91
x²-26x+69 = 0
Factoring this, we look for factors of 69 that sum to -26. -23*-3 = 69 and -23+-3 = -26, so:
(x-23)(x-3) = 0
Using the zero product property we know that either x-23=0 or x-3=0, so x=23 or x=3.
x was the amount we take off of the width and length of the lot; if we took 23m off of it, 10-23 gives us a negative amount, which is not realistic. This means both the width and length are subtracted by 3.
10-3 = 7 and 16-3 = 13.
These are the dimensions of the house.
Joes is 10 years older than james. in 8 years joe will be three times older than james. how old are they now
Answers
A freight carrier charges $0.57 for a package weighing up to one ounce plus and additional $0.32 for each additional ounce or fraction of an ounce. A company is shipping a package weighing 224 grams. What is the weight of the package in ounces?
Answers
Answer:
its is 8 oz 224 grams is = to 7.901
Step-by-step explanation: