Answer:
36
Step-by-step explanation:
1. Find the area of the composite figure to the nearest hundredth.
2. Find the area of the shaded region to the nearest tenth.
Answer:
#1: 751.56 mm²
#2: 477 km²
Step-by-step explanation:
First I noted the semicircle on the left, which has a radius of 12.5 mm. The formula for finding the area of a semicircle is 1/2(πr²).
1/2(3.14 * (12.5)²)
12.5 squared is 156.25.
1/2(3.14 * 156.25)
Multiply 3.14 by 156.25 to get 490.625.
1/2(490.625)
Divide 490.625 by 2 to get 245.3125.
245.3125 mm² for the semicircle
Then, I split the rest of into a 12.5 by 25 rectangle and a 31 by 12.5 triangle.
(12.5 * 25) + 1/2(31 * 12.5)
Multiply 12.5 by 25 to get 312.5.
312.5 + 1/2(31 * 12.5)
Multiply 31 by 12.5 to get 387.5.
312.5 + 1/2(387.5)
Multiply 1/2 by 387.5 to get 193.75
312.5 + 193.75
Add 312.5 and 193.75 to get 506.25.
506.25 mm² for the rest of the figure.
Now add the two measures, and you have your answer for #1.
245.3125 + 506.25 = 751.5625 mm², which rounds to 751.56 mm².
The area of the composite figure is 751.56 mm².
Now for #2. First, find the area of the triangle.
1/2(40 * 27)
Multiply 40 by 27 to get 1080.
1/2(1080)
Multiply 1/2 by 1080.
590 km² for the triangle.
Now find the area of the circle.
3.14 * 6²
3.14 * 36
113.04 km² for the circle.
Now subtract the area of the circle from the area of the triangle.
590 - 113.04
476.96 km², which rounds to 477.0 km².
The area of the shaded region is 477 km².
Answer:
1. 745.31 mm²2. 426.96 km²Step-by-step explanation:
#1
We can separate the figure into 3 parts and sum the areas.
Semicircle with radius 12.5 mm:
A = 1/2(πr²) = 1/2(3.14*12.5²) = 245.31 mm²Rectangle with sides 12.5 mm and its double size:
A = 12.5*(2*12.5) = 312.5 mm²Triangle with height 12.5 mm and base 30 mm:
A = 1/2*(55 - 2*12.5)*12.5 = 187.5 mm²Sum of the three:
245.31 + 312.5 + 187.5 = 745.31 mm²#2
The shaded region is the difference of the areas of the triangle and the circle
Triangle:
A = 1/2*27*40 = 540 km²Circle:
A = πr² = πd²/4 = 3.14*12²/4 = 113.04 km²Shaded region:
540 - 113.04 = 426.96 km²Richard is planning a course for a running event. He is required to post the distance of the course in miles and kilometers. If the course Richard plans is 6.8 miles, how many kilometers is the course? (rounded to the nearest tenth) (1 mile = 1.6 Km).
A.10.9
B.6.5
C.12.5
D.17.6
Answer:
its A
Step-by-step explanation:
3. Mrs. Lopez, a counselor at Round Rock High School. found that 18% of the students had a math class first period. If there are 800 students at the school, how many students are NOT in a math class for first period?
Answer:
656 students
Step-by-step explanation:
18% of 800 is 144, and 800-144= 656 :)
FACTOR COMPLETELY f(x) = 4x^2 + 8x − 5
Answer:
(2x - 1)(2x + 5)
Step-by-step explanation:
Start by finding factors of 4 and factors of 5, then find out which ones will add or subtract to the middle term, 8. You get (2x -1)(2x+5).
Hopefully this helps - let me know if you have any questions!
52nd term of arithmetic sequence 5,9,13
Answer:
209
Step-by-step explanation:
the Nth term is 4n plus 1
substitute 52 into n
4 times 52 is 208
208 plus 1 is 209
Answer:
201
Step-by-step explanation:
52 (amount of terms) - 2 (terms shown other than 5) = 49 * 4 = 196 + 5 = 201
I need answer not links
Answer:
3
Step-by-step explanation:
3 is the A value.
HELP DUE IN 5 MINS!
Solve for x in the polygon below.
x=??
Answer:
130
Step-by-step explanation:
(6-2)180=720
720-590=130
FIND THE THE
MISSING ANGLE:
70°
30° -
How many kilograms are equivalent to 450 grams?
Answer:
0.45
Step-by-step explanation:
Answer:
0.45 kg
Step-by-step explanation:
The circumference of the circle shown below is 54 centimeters. Which
expression gives the length in centimeters of ?
х
120"
O A.
360
.. 545
120
y
ОВ.
120
360
54
O c.
360
-.54
120
O D.
120
• 545
360
Answer:
B
Step-by-step explanation:
120/360 54
HELP!!! answer quickly pls
Answer:
X-axis
Step-by-step explanation:
Evaluate the expression. 0.1×( – 0.9+ – 0.2÷ – 0.5) Write your answer as an integer or a decimal. Do not round.
The solution of expression [tex]0.1 \times (- 0.9 + - 0.2 \div - 0.5)[/tex] by using the BODMAS rule would be [tex]- 0.05.[/tex]
Used the concept of the BODMAS rule which states that,
The correct order in which to solve maths problems. Bodmas stands for B-Brackets, O-Orders (powers/indices or roots), D-Division, M-Multiplication, A-Addition, S-Subtraction.
Given that the expression is,
[tex]0.1 \times (- 0.9 + - 0.2 \div - 0.5)[/tex]
Solve the above equation by using the BODMAS rule,
[tex]0.1 \times (- 0.9 + - 0.2 \div - 0.5)[/tex]
It can be written as,
[tex]0.1 \times [- 0.9 + (- 0.2 \div - 0.5)][/tex]
[tex]0.1 \times [- 0.9 + 0.4][/tex]
[tex]0.1 \times - 0.5[/tex]
[tex]- 0.05[/tex]
Therefore, the solution of the expression is [tex]- 0.05.[/tex]
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Choose each angle measure that is one of the angles of these similar triangles. Select all that apply.
PLEASE HELP I WILL MARK BRAINLIEST
Answer:
I think its d
Step-by-step explanation:
answer asap ----------------------
Answer:
BC ≈ 15.01
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan65° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{BC}{7}[/tex] ( multiply both sides by 7 )
7 × tan65° = BC , then
BC ≈ 15.01 ( to the nearest hundredth )
Given that a = -2 and b = 7 ,evaluate the following algebraic expression
(1) a(b2 -a)
Answer:
-2(14--2)
-2*19
38.
I think this is the correct answer. Thanks
Answer:
Answer is -32.
Step-by-step explanation:
a= -2
b=7
Expression: a(b2-a)
-2(7*2--2) (Place 'a' and 'b' values)
= -2(14+2) (Solve inside the bracket)
= -28-4 (Multiply -2 with the values inside the bracket)
= -32 (ans)
Thank you!!
Hope it helps!! (^-^)
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Consider the following sequence
[tex]1,1,\frac{3}{4} ,\frac{4}{8}[/tex]
find the nth term such that n > 0
9514 1404 393
Answer:
2n/2^n
Step-by-step explanation:
It appears that the terms are ...
[tex]\dfrac{1}{1},\ \dfrac{2}{2},\ \dfrac{3}{4},\ \dfrac{4}{8},\ \dots[/tex]
That is, the numerator is counting numbers, and the denominator is powers of 2.
[tex]f[n]=\dfrac{n}{2^{(n-1)}}\quad\text{or}\quad f[n]=2n\cdot2^{-n}[/tex]
You throw a ball at a height of 5 feet above the ground. The height h (in feet)
of the ball after t seconds can be modeled by the equation h=-16tsqaured +44t +5
A. After how many seconds does the ball reach a height of 15 feet?
B. After how many seconds does the ball hit the ground? Round your answer
to two decimal places.
Answer:
A. After 2.5 sec and .25 sec the ball was at a height of 15 ft.
B. 2.86 sec is the time it takes to hit the ground
Step-by-step explanation:
A. let h = 15
then 15 = -16t^2 + 44t + 5
16t^2 - 44t + 10 =0
2(8t^2 - 22t + 5) = 0
2(2t - 5)(4t - 1) = 0
t = 5/2 = 2.5 or t = 1/4 = .25
After 2.5 sec and .25 sec the ball was at a height of 15 ft.
B. Let h = 0.
-16t^2 + 44t + 5 = 0
Use the quadratic formula to find t. (I will let you do that)
t = 2.85929... or t = -.10929...
t cannot be negative, so 2.86 sec is the time it takes to hit the ground
The answer of A is After 2.5 sec and 0.25 sec the ball was at a height of 15 ft and the answer of B is 2.86 sec is the time it takes to hit the ground.
A. let h = 15
What is the quadratic equation?
[tex]ax^2+bx+c=0[/tex]
a, b, c = known numbers, where a ≠ 0
x = the unknown
then 15 = -16t^2 + 44t + 5
16t^2 - 44t + 10 =0
2(8t^2 - 22t + 5) = 0
2(2t - 5)(4t - 1) = 0
t = 5/2 = 2.5 or t = 1/4 = 0.25
After 2.5 sec and 0.25 sec the ball was at a height of 15 ft.
B. Let h = 0.
-16t^2 + 44t + 5 = 0
Use the quadratic formula to find t.
t = 2.85929... or t = -.10929...
t cannot be negative, So 2.86 sec is the time it takes to hit the ground.
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Which set does not contain a rational number?
Answer:
[tex]\sqrt{21}[/tex], π, [tex]\sqrt{75}[/tex]
Step-by-step explanation:
this set contains only irrationals
Calculaţi suma a trei numere naturale ştiind că: primul este egal cu produsul numerelor 31 şi 75, al doilea reprezintă din primul, iar al treilea reprezintă din diferenţa primelor două numere.
Raspundeti repede pls!Dau coroana!!!
Answer:
fartzzzzzzzzzzzzzzzzzzzzzz
Step-by-step explanation:
Answer:
DABABY CONVERTIBLE GANG :)
PLZZZZZZZZZZ HELP ITS FOR A TEST!!!The question is in the blue, the way I want you to solve it is the second one
HELP WILL MARK BRAINIEST NO LINKS!!
Answer:
length - 80
width - 80
Step-by-step explanation:
95*2 = 190
65*2 = 130
190+130 = 320
320/4 = 80
80 x 80 = 6400
95 x 65 = 6175
6400 > 6175
80 x 4 = 320 = both perimeters
Given that a - b = 3 and ab=5, find, without the use of a calculator,
the value of a^2 +b^2?
Answer:
19
Step-by-step explanation:
a-b=3 ab=5
a²+b² = (a-b)²+2ab ( a general formula)
= 3²+2×5
=9+10 = 19
A recliner chair is normally $750 is discounted to $600. What is the percent discount?
Answer:
20%
Step-by-step explanation:
Discount = Original Price x Discount %/100
Discount = 750 × 20/100
Discount = 750 x 0.2
You save = $150.00
Final Price = Original Price - Discount
Final Price = 750 - 150
Final Price = $600.00
Answer:
20%
Step-by-step explanation:
Just multiply 750 by 20%, and you will get 150. Subtract and you will get 600. That means my answer is correct.
Good Luck!
While studying medical treatments, scientists noticed a relationship between two of the treatments when applied together. As Treatment X became more effective, Treatment Y became less effective. Which scatter plot BEST demonstrates this relationship?
Answer: C
Step-by-step explanation: it says that As Treatment X became more effective(In the graph it shows its increases) Treatment Y became less effective. The graph shows as one is increasing other decrease.
The scatter plot C best demonstrates this relationship.
What is an inverse relation?An inverse relation is a relation in which value of two variable is inversely proportional to each other.
Given,
When treatment X became more effective, treatment Y became less effective.
Also, when treatment Y became more effective, treatment X became
less effective.
Therefore, variables X and Y follows inverse relationship.
Hence, Graph between X and Y is correct in option C.
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Someone please help
Dakota paid $48.60 for a new backpack, and this included an 8% sales tax. What is the price before tax.
Answer:
The price before sales tax was added was $9.72.
Step-by-step explanation:
48.60 x 0.8 = 38.88 (Sales tax price)48.60 - 38.88 = 9.72 (Price before sales tax)Laura takes 80 steps to walk across her local park.
Laura's steps are 70 centimetres long.
Her sister Kara's steps are 80 centimetres long.
How many steps does Kara take to walk across
the park?
a. 45
b.56
c.70
d.80
Answer:
c. 70
Step-by-step explanation:
Laura’s steps are 70cm, and she takes 80 steps, which would give her a total length of 5600cm. Kara’s steps are 80cm, so we have to divide 5600cm by 80cm. This means Kara takes 70 steps to walk across the park.
x-intercept of 5 and a y-intercept of -4.
Write this street's equation in slope intercept form.
Answer:
y = 5x -4 or you could also write y = 5x + -4
it's still the same thing.
Step-by-step explanation:
change 45% into decimal