Answer:
The area is approximately [tex]588cm^2[/tex]
Step-by-step explanation:
Given
See attachment for figure
Required
The area of the shaded region
The shaded region is as follows:
A major segmentA triangleFirst, calculate the area of the major segment using:
[tex]Area = \frac{\theta}{360} * \pi r^2[/tex]
Where
[tex]r = 14[/tex]
[tex]\theta = 360 - 70 =290[/tex]
So, we have:
[tex]A_1 = \frac{290}{360} * 3.14 * 14^2[/tex]
[tex]A_1 = 495.7711[/tex]
Next, the area of the triangle using:
[tex]Area = \frac{1}{2}ab \sin C[/tex]
Where
[tex]a=b=r = 14[/tex]
[tex]C = 70^\circ[/tex]
So, we have:
[tex]A_2 = \frac{1}{2} * 14 * 14 * sin(70)[/tex]
[tex]A_2 = 92.0899[/tex]
So, the area of the shaded region is:
[tex]Area = A_1 + A_2[/tex]
[tex]Area = 495.7711 + 92.0899[/tex]
[tex]Area = 587.8610[/tex]
[tex]Area \approx 588[/tex]
A shelf is designed so it will fit in a 90º corner between two walls. The shelf has dimensions, rounded to the nearest tenth, as shown. A triangle has side lengths 11 centimeters, 11 centimeters, and hypotenuse of StartRoot 242 EndRoot centimeters. [Not drawn to scale] Will the shelf fit snugly in a 90º corner?
Answer:
Yes, it will fit snugly in a 90º corner
Step-by-step explanation:
To do this, we simply need to check if the given sides of the shelf is right-angled.
So, we have:
[tex]Hypotenuse = \sqrt{242[/tex]
[tex]Side\ 1 = Side\ 2 = 11[/tex]
To check for right-angle triangle, we make use of:
[tex]Side\ 1^2 + Side\ 2^2 = Hypotenuse^2[/tex]
This gives:
[tex]11^2 + 11^2 = \sqrt{242}^2[/tex]
[tex]121 + 121 = \sqrt{242}^2[/tex]
[tex]242 = \sqrt{242}^2[/tex]
[tex]242 = 242[/tex]
This shows that the given sides of the shelf is a right-angled triangle.
Hence, it will fit the wall
Answer:
A
Step-by-step explanation:
This diagram shows a cylinder that has a radius of 3 inches and a height
of 5 inches.
3 in.
5 in.
What is the volume, in cubic inches, of the cylinder?
A. 151
B. 307
C. 451
D. 601
The volume, in cubic inches, of the cylinder will be [tex]\frac{990}{7}[/tex] or [tex]45\pi[/tex] cubic inches.
What is Cylinder?Cylinder is a [tex]3D[/tex] solid shape which holds two parallel bases joined by a curved surface, at a fixed distance. These bases are circular in shape and the center of the two bases are joined by a line segment.
What is volume?Volume is define as capacity of cylinder.
Volume of cylinder [tex]=\pi r^{2} h[/tex]
We have,
Radius [tex]=3[/tex] inches
Height [tex]=5[/tex] inches,
Then,
Volume of cylinder [tex]=\pi r^{2} h[/tex]
[tex]=\frac{22}{7} *(3)^{2} *5[/tex]
[tex]=\frac{990}{7}[/tex] or [tex]45\pi[/tex] cubic inches
Hence, we can say that The volume, in cubic inches, of the cylinder will be [tex]\frac{990}{7}[/tex] or [tex]45\pi[/tex] cubic inches
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The width of a rectangular frame is 6 in. shorter than its length. The area of the frame is 216 in?
What is the frame's length?
Answer:
18 in
Step-by-step explanation:
len = y
width= y - 6
the area of rectangle is len x width
(Y) x (Y-6) = 216
Y^2 - 6Y = 216, Y^2 - 6y -216 = 0
y = (36 /2) or (-24 /2)
len couldn't be negative so 18
Clarence has $90 in a savings account that earns 10% annually. The interest is not
compounded. How much will he have in 5 years?
Answer:
132 dollars I think
Step-by-step explanation:
3.1. Two friends. Ben and Mike, take part in a 15km fun
run. Ben took 1 h 23 min 12 sec and Mike took 1 h 39
min 4 sec. How long did Ben wait at the finish line for
Mike?
Answer: 15.867 min
Step-by-step explanation:
Given
Ben took [tex]1\ h\ \text{and}\ 23\ min\ 12\ s[/tex] to complete 15 km
While Mike take [tex]1\ hr\ 39\ min\ 4\ s[/tex] to complete the same
converting time into miniutes
Ben time
[tex]\Rightarrow 60+23+\frac{12}{60}=83.2\ min[/tex]
Mike time
[tex]\Rightarrow 60+39+\frac{4}{60}=99.0667\ min[/tex]
So, mike waited for
[tex]\Rightarrow 99.067-83.2=15.867\ min[/tex]
There are about 23 Hershey kisses in an 11-ounce bag of candy. Write and solve a proportion
that you can use to find the number of Hershey kisses in a 5-ounce bag.
Answer:
about 10 hershy kisses
Step-by-step explanation:
Sorry If wrong :(
Find the area of the shaded sector below.
Answer:
9.07571212
Step-by-step explanation:
To solve this we first need to find the area of the circle, r squared times pi
4 x 4 x pi = 50.2654825
Now we multiply this by 65/360, 50.2654825 x 65/360 = 9.07571212
The shaded sector covers 9.07571212 square inches.
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what is the length of the hypotenuse of the triangle when x = 3?
Answer:
2√73 I believe
Step-by-step explanation:
Input x with 3
2(3) = 6
5(3) + 1 = 16
16 squared is 256
6 squared is 36
A square plus B squared is C squared
square root of 292
Maya bought a board game that cost $24. She had to pay a 7 1/2% sales tax. How much change did she get from thirty dollars?
Answer: $4.20
Step-by-step explanation:
24(.075)=1.80
24+1.80=25.80
30-25.80=4.20
a cell phone plan costs $28.90 per month for 400 minutes of talk time. it costs an additional $0.07 per minute for each minute over 400 minutes. to get e-mail access, it costs 10% of the price for 400 minutes of talk time. your bill, which includes e-mail, is the same each month for 8 months. the total cost for all months is $298.56. write and solve an equation to find the number of minutes of talk time you use each month.
Answer:
Equation = 298.56=6(0.07m+23.90+0.10(23.90))
Minutes = 335
Step-by-step explanation:
Okay, so first simplify to get 298.56=0.52m+172.08
Next subtract to get 0.52m=126.48
Then divide 0.52 to get 335
I hope this helps ! :)
Question 3 of 10
Which of the following are exterior angles? Check all that apply.
6
DA. 26
B. 24
C. 23
OD. 22
OE. Z1
O F. 25
Answer:
I believe the answer to be 5 and 4
The exterior angles of the given triangle are angles 4 and 5
What is triangle?A triangle is a polygon with three sides, angles and vertices.
Given that, a triangle, with angles, 1, 2, 3, 4, 5 we need to find the exterior angles,
An exterior angle of a polygon is the angle that lies outsides of the polygon,
Here, we can see, that only two angles 4 and 5 lies outsides of the triangles
Therefore, the exterior angles are 4 and 5
Hence, the exterior angles of the given triangle are angles 4 and 5
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Please help, I’ll mark you as brainliest!!!!
Answer:
80%
Step-by-step explanation:
Percent increase is calculated as
[tex]\frac{increase}{original}[/tex] × 100%
Increase = $27 - $15 = $12 , then
percent increase = [tex]\frac{12}{15}[/tex] × 100% = 0.8 × 100% = 80%
Step-by-step explanation:
Percentage Increase = Amount of Increase/ Orginal Amount x 100%
27-15= 12
$12= Amount of Increase
Percentage Increase= 12/15 x 100
= 80% increase in stock price
Hope this Helps
Which expressions are equivalent to the one below? Check all that apply 5^x
Answer:
5 * 5^(x - 1) ; (15/3)^x ; 15^x / 3^x
Step-by-step explanation:
From the options, equivalent expressions include :
(15/3)^x
This is the same as ;
(15/3)^x
15 ÷ 3 = 5 ; then to the power of x = 5^x
15^x / 3^x ; since they are both raised to the same power, we can divide directly to obtain :
5^x
5 * 5^(x - 1)
5 = 5^1
5^1 * 5^(x-1)
5^(1 + x - 1) = 5^x
10x+11=51 solve for x
Answer:
x=4
Step-by-step explanation:
Juan compro ayer una tarta y comio 2/5. Hoy ha comido la mitad del resto. Si el trozo restante pesa 300g, cuanto pesaba la tarta?
Answer:
hello i posted the answer onto 345.tly.com
Step-by-step explanation:
Answer:
1000g
Step-by-step explanation:
2/5 =400g
3/5 = 600g
1/2(3/5) = 300g
400 + 600 = 1000
Need help due in 30 mins Find the area of each. Round to the nearest tenth. Do not include units in your answer (ie. ft, in, km, etc)(triangle-FR)
Your answer
Answer:
1)
Triangle formula:
A = 1/2bh
A = 1/2(3)(5.9)
A = 8.85
2)
Parallelogram Area:
A = bh
A = (8.9)(6)
A = 53.4
Un terreno cuadrado tiene una superficie de 900 metros cuadrados. ¿Cuántos metros lineales de alambre se necesitan para cercarlo?
Respuesta:
120 metros
Explicación paso a paso:
Dado que:
Área del lote cuadrado = 900 m²
Área, A de cuadrado = s²
Donde, s = longitud del lado
s² = 900
Toma el cuadrado de ambos lados
s = raíz cuadrada (900)
s = 30
Se requiere metro lineal de alambre para cercar, el lote será el perímetro del lote cuadrado;
El perímetro del lote cuadrado = 4s
Por eso,
Perímetro del lote cuadrado = 4 * 30
Perímetro del lote cuadrado = 120 m
no links, will give brainliest
The area of a parallelogram is base x height, or A = bh.
a) A = 6 x 10, so A = 60 cm²
b) A = 15 x 8, so A = 120 cm²
10 POINTS !! :( ANSWER BOTH PLS !! DUE BEFORE 11:59 PM
Answer:
Easy,
1) To find the area you need to multiply. Therefore 10 x 4 = 40 square centimeters.
2) 20, why? A calculator online for area of a triangle, it really helps! :) just look up triangle area in the future.
Step-by-step explanation:
Who is Pythagorean? when was he born? when did he die?
Answer:
" Pythagoras established the first Pythagorean community in Crotone, Italy. Early Pythagorean communities spread throughout Magna Graecia. "
"was an ancient Ionian Greek philosopher and the eponymous founder of Pythagoreanism . " <---------- Credits to: Yahoo
He was born in about 570 BC on the Greek island of Samos
He died in 495 BC
Daily question: what is 5 to the 3rd power?
Answer:
125
Step-by-step explanation:
5 to the 3rd power means 5³
5³ = 5x5x5
= 125
in which situation would hydrogen bonding be present?
A. When hydrogen exists as an ion in solution
B. When hydrogen is attached to C, S or P
C. When hydrogen atoms bond together to form H2
D. When hydrogen is attached to N, F or O
Answer:
D
Step-by-step explanation:
lol this is a weird math question
jk
Hydrogen bonds occur only when hydrogen is covalently bonded to one of three elements: fluorine, oxygen, or nitrogen. Anything else isn't considered a hydrogen bond.
5th grade math. correct answer will be marked brainliest
Answer:
3
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
9×[tex]\frac{1}{3}[/tex]
9×1/1×3=
[tex]\frac{9}{3}[/tex]÷3=
3!!!!
HURRY!!! ANSWER QUICK!!!
Choose all the equations that have x = 5 as a possible solution.
A. 20 - x = 5
B. x + 2 = 7
C. 3x = 15
D. 5x = 15
E. x- 5 = 0
Answer:
b,c,e
Step-by-step explanation:
PLEASE ANSWER FAST!
Complete the square. Fill in the number that makes the polynomial a perfect square quadratic. m² - 16m + c. Find the value of c.
Step-by-step explanation:
mmmmmmmmmmmmmmmmmmmmmmmmmmm
Eiko is wearing a magic ring that increases the power of her healing spell by 30\%30%30, percent. Without the ring, her healing spell restores HHH health points.
Answer:
Step-by-step explanation:
Answer:
130/100 H and (3/10 + 1) H
Step-by-step explanation:
Hope this helps!
Describe what you normally do on Sunday
my normal routine except i go to church
A sequence can be generated by using an=an−1+4, where a1=5 and n is a whole number greater than 1.
What are the first 5 terms in the sequence?
5, 20, 80, 320, 1280
4, 9, 14, 19, 24
4, 20, 100, 500, 2500
5, 9, 13, 17, 21
The first 5 terms of the arithmetic sequence are: 5, 9, 13, 17, 21.
How to find the first 5 terms?Here we have an arithmetic sequence, such that the recursive formula is:
[tex]a_n = a_{n- 1} + 4[/tex]
Such that:
a₁ = 5.
Using that formula we can get the next 4 terms. For the second term we use n = 2, so we get:
[tex]a_2 = a_1 + 4 = 5 + 4 = 9[/tex]
For the third term we have:
[tex]a_3 = a_2 + 4 = 9 + 4 = 13[/tex]
For the fourth term we have:
[tex]a_4 = a_3 + 4 = 13 + 4 = 17[/tex]
For the fifth term we have:
[tex]a_5 = a_4 + 4 = 17 + 4 = 21[/tex]
Then the first 5 terms of the sequence are:
5, 9, 13, 17, 21.
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Help me pleaseee!!!!!!
Answer:
8 or 9
Step-by-step explanation:
Joel says to Kevin, "Give me $100, and I shall become twice as rich as you."
Kevin replies, "Give me $10, and I shall become six times as rich as you."
How many dollars do Joel and Kevin have together?