Find the area and perimeter of the shaded regions below. Give your answer as a completely simplified exact value in terms of pi (no approximations). The figures below are based on semicircles or quarter circles.
*I found the area but I can't seem to find the perimeter
Answer:
[tex] A=(8 \pi +40) cm^2 [/tex]
[tex] P=(4 \pi + 4\sqrt {29}) \: cm[/tex]
Step-by-step explanation:
For semicircle:
Diameter = 8 cm
Radius (r) = 8/2 = 4 cm
For triangle:
Base (b) = 8 cm
Height (h) = 10 cm
Area of the shaded region
[tex] A=\frac {1}{2} \pi r^2 +\frac {1}{2}b.h[/tex]
[tex] A=\frac {1}{2} \pi (4)^2 +\frac {1}{2}(8).(10)[/tex]
[tex] A=(8 \pi +40) cm^2 [/tex]
By Pythagoras Theorem:
[tex] AC = BC = \sqrt {4^2 +10^2}[/tex]
[tex] AC = BC = \sqrt {16 +100}[/tex]
[tex] AC = BC = \sqrt {116}[/tex]
[tex] AC = BC =2\sqrt {29}[/tex]
[tex] P= \frac {1}{2} \times 2\pi r+ AC + BC[/tex]
[tex] P= \pi (4)+ 2\sqrt {29} + 2\sqrt {29}[/tex]
[tex] P=(4 \pi + 4\sqrt {29}) \: cm[/tex]
Please answer correctly!! I’ll mark as brainliest!
No links no fake answers
Answer:
The first answer is 31.5.
The second is 21.
Step-by-step explanation:
If a varies directly with x squared, and a = 8 when x = 4 find the constant variation of k
Answer:
k = 0.5
Step-by-step explanation:
Given a varies directly with x² then the equation relating them is
a = kx² ( k is the constant of variation )
To find k use the condition a = 8 when x = 4 , then
8 = k × 4² = 16k ( divide both sides by 16 )
0.5 = k
Which of the following could be used to estimate 75 -32?
A. 80 - 30
B. 70 - 30
C. 80-40
D. 70 - 40
Answer:
b
Step-by-step explanation:
the answer when not rounded is 43.
Find the second base of a trapezoid with an area of 96 inches, a height of 8 inches, and a 1st base measuring 11 inches.
Answer:
13
Step-by-step explanation:
11+x=y
yx8=z
z/2=96
96x2=192
192/8=24
24-11=13
x=13
Hey! Please answer this fast, it’s due soon. It’s fractions
Answer:
3/12 - 8/12= 5/12
10/12 - 5/12= 5/12
HELP PLEASE: without doing the math, determine which is greater, 50 times 1/5 or 50 divided by 1/5. explain your reasoning.
Answer:
The first option
Step-by-step explanation:
Have a nice day :)
Three friends are sharing 4 cups of lemonade. If they share the lemonade equally, how many cups will each friend get?
Answer:
3/4 of a cup or .75 of a cup
Step-by-step explanation:
Finde
3 rational number
7 and 8
Answer:
7/1; 4/2=2;8/1
7 is rational number because 7/1 = 7
8 = 4 x 2 = 4/1 x 2/1 and both rational.
Step-by-step explanation:
Multiply by any number/ same with both
7/1×6=42/6
8/1×6=48/6
So,
43/6,44/6,45/6 Answer
hope it helps
6. Rewrite each of the following expressions without roots by using fractional exponents.
Please help! I have tried to look it up everywhere and I don’t understand how to do it. Anything helps!!
Answer:
A. x¹/²
B. x¹/³
C. x¹/⁷
D. x⁵/²
E. x¹¹/³
F. 1 / x¹/⁴
G. 1 / x²/³
H. 1 / x⁹/²
Step-by-step explanation:
A. √x
Recall
√M = M¹/²
Therefore,
√x = x¹/²
B. ³√x
Recall
ⁿ√M = M¹/ⁿ
Therefore,
³√x = x¹/³
C. ⁷√x
Recall
ⁿ√M = M¹/ⁿ
Therefore,
⁷√x = x¹/⁷
D. √x⁵
Recall
√Mⁿ = Mⁿ/²
Therefore,
√x⁵ = x⁵/²
E. ³√x¹¹
Recall
ⁿ√Mᵃ = Mᵃ/ⁿ
Therefore,
³√x¹¹ = x¹¹/³
F. 1 / ⁴√x
Recall
ⁿ√M = M¹/ⁿ
Therefore,
1 / ⁴√x = 1 / x¹/⁴
G. 1 / ³√x²
Recall
ⁿ√Mᵃ = Mᵃ/ⁿ
Therefore,
1 / ³√x² = 1 / x²/³
H. 1 / √x⁹
Recall
√Mⁿ = Mⁿ/²
Therefore,
1 / √x⁹ = 1 / x⁹/²
Number 1 help please
Answer:
D
Step-by-step explanation:
the figure is in the origin therefore no reflection will affect the shape
Which choice shows three lengths that cannot be the lengths of the three sides of a triangle? 2 cm, 8 cm, 8 cm B. 2 cm, 3 cm, 6cm C. 4cm, 5 cm, 7 cm . D. S cm. 6 cm. 9 cm
Answer:
A
Step-by-step explanation:
Because the lengths are way off for A.
2cm, 8cm, 8cm
The probability that is will rain today is 65%, and the probability that it will rain tomorrow is 25%.
The probability that it will rain both days is 35%.
What is the probability that is will rain today or tomorrow?
Answer:
65%
Step-by-step explanation:
What are the domain and
range
of an exponential parent function?
A. The domain is positive real numbers (x > 0), and the range is all
real numbers.
B. The domain is all real numbers, and the range is nonnegative real
numbers (y≥ 0).
C. The domain is nonnegative real numbers (x≥ 0), and the range is
all real numbers.
D. The domain is all real numbers, and the range is positive real
numbers (y > 0).
Answer: it’s D
Step-by-step explanation:
The domain and the range of an exponential parent function mean that the domain is all real numbers and the range signifies positive real numbers y > 0.
What is an exponential parent function?The simplest parent function of an exponential function takes the form:
[tex]\mathbf{f(x) = p^x}[/tex], where p refers to the base.
So, if we have a number such that x = 3 and the base is 2
f(3) = 2³f(3) = 6Therefore, we can conclude that the domain of an exponential parent function is all real numbers, and the range is positive real numbers (y > 0).
Learn more about exponential functions here;
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Please help me with this problem!!
A parabola has a vertex (-3, -2) and contains the point (-5, 6). Write the equation for this parabola in vertex form.
Answer:
[tex]y = 2(x +3)^2 -2[/tex]
Step-by-step explanation:
Given
[tex](h,k) = (-3,-2)[/tex] --- vertex
[tex](x,y) = (-5,6)[/tex] --- point
Required
Determine the equation
The general form is:
[tex]y = a(x - h)^2 + k[/tex]
First, we solve for a:
Substitute [tex](h,k) = (-3,-2)[/tex] and [tex](x,y) = (-5,6)[/tex] in [tex]y = a(x - h)^2 + k[/tex]
[tex]6 = a(-5 - (-3))^2 - 2[/tex]
[tex]6 = a(-2)^2 - 2[/tex]
[tex]6 = 4a - 2[/tex]
Solve for a
[tex]4a = 6 + 2[/tex]
[tex]4a = 8[/tex]
[tex]a = 2[/tex]
So:
[tex]y = a(x - h)^2 + k[/tex]
[tex]y = 2(x - (-3))^2 -2[/tex]
[tex]y = 2(x +3)^2 -2[/tex]
What does x equal to?
Answer:
x = 25°
Step-by-step explanation:
the angle adjacent to the 130 angle is 50 degrees
x = 180-(105+50)
x = 180-155
x = 25
solving by elimination
2x+8y=6
5x+20y=15
Answer:
Solve for x in the first equation.
Subtract 8 y from both sides of the equation.
2 x = 6 − 8 y
5 x + 20 y = 15
Divide each term by 2 and simplify.
Divide each term in
2 x /2 = 6/2 − 8 y/2
5 x + 20 y = 15
Cancel the common factor of 2 .
Cancel the common factor.
2 x /2 = 6 /2 + (− 8 y)/ 2
Step-by-step explanation:
I don't have room to put the rest. So go to math-way
please help me if you do not know do not answerr
Answer:
Quadratic
Step-by-step explanation:
Example of linear is 2x + 3
Example of quadratic is x² + 2x + 3
Example of cubic is x³ + 2x² + 3x + 4
Example of quartic is x⁴ + 2x³ + 3x² + 4x + 5
Amanda, Boris, and Jose sent a total of 124 text messages during the weekend. Amanda sent 8 fewer messages than Jose
Boris sent 4 times as many messages as Jose. How many messages did they each send?
Answer:
Amanda= 14
Boris = 88
Jose= 22
Step-by-step explanation:
Amanda= jose-8
Boris = 4×jose
Jose= Jose
total all = 124
(jose-8)+(jose×4)+(jose)= 124
so we substitute jose with X .
(X-8)+(4X)+(X)=124
6X-8= 124.
6X=124+8
X=132/6
X= 22.
so that total jose is 22, minus 8 we get Amanda, times 4 we get Boris.
Use the graph of the function f(x) = (x + 1)² + 2. Identify the vertex and
the axis of symmetry.
what is the mass of 20 buckets
help fast pls .. Find the equation for g(x) by substituting the known point (1, 4) and solving for k.
Answer:
6=k×2
k=3
g(x)=k f(x)
g(x)=3 |x|
UNIT TEST:
TVAH: GeometryB Unit 4 Test
The perimeter of the base of a right square pyramid is 32 cm. The height of the
pyramid is 8 cm.
What is the volume of the pyramid?
O 256 cm
O 170.67 cm
o 85.33 cm
O 512 cm
2 3
4
5
6
7
Next
8 9 10 11
o
9
Answer:
170.67 cm^3
Step-by-step explanation:
The volume is given by ...
V = 1/3s²h
We are given that 4s=32, so s=8. We are also given that h=8. (All linear dimensions are in centimeters.) Then the volume is ...
V = (1/3)(8²)(8) = 512/3 = 170.67 . . . . cm³
Answer:
170.67 cm^3
Step-by-step explanation:
took the test
A box of chocolates has 5 creme filled, 8 peanut butter filled, and 7 caramel filled chocolates. What is the probability, expressed as a
percent of randomly selecting a creme filled chocolate?
A) 5%
B) 15%
C) 20%
D) 25%
Answer:
25%
Step-by-step explanation:
Step 1: Add all the possible choices up
8 + 5 + 7 = 20
Step 2: Note that your finding the probability for creme filled ones
Step 3: Make it a fraction
5 creme filles ones out of 20
5/20
Step 4: Simplify
1/4
Step 5: Convert into a decimal (if you don't already know it)
1 ÷ 4 =
.25
Step 6: Multiply by 100 to find percentage
.25 × 100 = 25%
Which of these does NOT represent the distance a car travels when going 55 miles per hour?
Answer:
the first one
Step-by-step explanation:
just trust me
Help ASAP, ACD and DCB form a linear pair
Answer:
40
Step-by-step explanation:
because 180- 140 = 40
a linear pair means they equal 180
The measure of angle ACD (∠ACD) is 40 degrees.
Given that angles ACD and DCB forms a linear pair, also m ∠DCB = 140°,
We are asked to find the measure of ∠ACD,
So,
If angles ACD and DCB form a linear pair, it means that their sum is equal to 180 degrees.
Let's denote the measure of angle ACD as x.
So, we have the equation:
m∠ACD + m∠DCB = 180°
Substituting the given value for m∠DCB:
x + 140° = 180°
To solve for x, we can subtract 140° from both sides of the equation:
x = 180° - 140°
x = 40°
Therefore, the measure of angle ACD (∠ACD) is 40 degrees.
Learn more about linear pair click;
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What is the area of the parallelogram?
3
2
Find the value of x, y, and z.
Round to the nearest tenth if needed.
Please help me
Answer:
x = 26.5
y = 12.0
z = 13.4
Step-by-step explanation:
✔️To find x, apply the leg rule, which is:
Hypotenuse/leg = leg/part
Hypotenuse = 30
Leg = x
Part = 30 - 6 = 24
Plug in the values into the equation
30/x = x/24
Cross multiply
x² = 30*24
x² = 720
x = √720
x = 26.5 (nearest tenth)
✔️Apply the triangle altitude theorem to find y:
Based on the theorem, h = √(ab)
Where,
a = 6
b = 30 - 6 = 24
h = y
Plug in the values
y = √(6*24)
y = √144
y = 12
✔️Apply the leg rule, Hypotenuse/leg = leg/part to find z:
Hypotenuse = 30
Leg = z
Part = 6
Plug in the values into the equation
30/z = z/6
Cross multiply
z² = 30*6
z² = 180
z = √180
z = 13.4 (nearest tenth)
Gllberto invests $10,000 in a savings account that pays 4.75% simple interest. If Gilberto
makes no withdrawals or deposits to the account, how much will be in the account after 7
years?
Answer:
$13,325
Step-by-step explanation: