Answers
Answer:
20.52 cm²
Step-by-step explanation:
[tex]\textsf{Area of a semicircle}=\sf \dfrac12\pi r^2 \quad \textsf{(where r is the radius)}[/tex]
[tex]\textsf{Area of a triangle}=\sf \dfrac12bh \quad \textsf{(where b is the base and h is the height)}[/tex]
Given:
[tex]\pi[/tex] = 3.14r = 6 cmb = 12 cmh = 6 cm[tex]\begin{aligned}\implies \textsf{Shaded area} & =\sf \dfrac12\pi r^2-\sf \dfrac12bh\\ & = \sf \dfrac12 \cdot 3.14 \cdot 6^2-\dfrac12 \cdot 12 \cdot 6\\ & = \sf 56.52-36\\ ^& = \sf 20.52\:\:cm^2\end{aligned}[/tex]
Answer:
20.52cm^2
Step-by-step explanation:
from the picutre we can see that this is a semicircle with 2 right angle triangles inside it. to find the area we will solve for the semi circle then solve for the triangles and and subtract
circle area is [tex]\pi r^{2}[/tex] leaving the semicircle to be [tex]\frac{\pi r^{2} }{2}[/tex] for the semi circle
next we need the radius. since the diameter is given, we can solve for r by dividing it in two
12 ÷ 2 = 6
so the area of the semi circle is [tex]\frac{\pi 6^{2} }{2}[/tex]
this gives 18[tex]\pi[/tex]cm^2 if we simplify
next the triangles, since they are equal in size we can treat them as a square and stack them. this is because they have equal side lengths so when stacked they form a square:
base x height divided by 2 times 2 would be the normal process to find two equal triangles but you can see the division and multiplication cancel out
6x6= 36cm^2
finally subtracting the areas to find the shaded region and use 3.14 as pi
18[tex]\pi[/tex]cm^2 - 36cm^2 = 20.52cm^2
Related Questions
F(x) = 6x^2 -7x + 4 g(x) =2x -5 find: (f-g)(x)
Answers
Answer:
Use the given functions to set up and simplify (f − g) (x).
−7x+4= −7x + 4
(f − g) (x)=f − 2 x+ 5
Step-by-step explanation:
8x - 8 = 7x simplified down
Answers
Step-by-step explanation:
Hope my answer helps mark me brainliestAnswer:
x = 8
Step-by-step explanation:
Step 1: Subtract 7x from both sides.
8x−8−7x=7x−7x
x−8=0
Step 2: Add 8 to both sides.
x−8+8=0+8
x=8
HGD
-ghost
What is the value of this expression when a = 4, b= -5, and c =-7?
a + 2bc/3a
Answers
Answer:
The answer would be c- 6 1/6
Step-by-step explanation:
I recommend desmos scientific calculator if you put in a=4, b=-5, c=-7 then plug in the equation it should give you your answer!
PLEASE HELP, please write it out in the system of equations (step by step)
2x + y = - 1 ; x - 2y = - 8
Answers
Answer:
[tex]{x,y}={-2,3}[/tex]
Step-by-step explanation:
[1] 2x + y = -1
[2] x - 2y = -8 <------- given linear equations
Graphic Representation of the Equations : ----> given in attatchment
y + 2x = -1 -2y + x = -8 < ----- point where they connect is shown in graph
Solve by Substitution :
// Solve equation [2] for the variable x
[2] x = 2y - 8
// Plug this in for variable x in equation [1]
[1] 2•(2y-8) + y = -1
[1] 5y = 15
// Solve equation [1] for the variable y
[1] 5y = 15
[1] y = 3
// By now we know this much :
x = 2y-8
y = 3
// Use the y value to solve for x
x = 2(3)-8 = -2
Solution :
{x,y} = {-2,3}
Answer:
Step-by-step explanation:
[1] 2x + y = -1
[2] x - 2y = -8 <------- given linear equations
Graphic Representation of the Equations : ----> given in attatchment
y + 2x = -1 -2y + x = -8 < ----- point where they connect is shown in graph
Solve by Substitution :
// Solve equation [2] for the variable x
[2] x = 2y - 8
// Plug this in for variable x in equation [1]
[1] 2•(2y-8) + y = -1
[1] 5y = 15
// Solve equation [1] for the variable y
[1] 5y = 15
[1] y = 3
// By now we know this much :
x = 2y-8
y = 3
// Use the y value to solve for x
x = 2(3)-8 = -2
Solution :
{x,y} = {-2,3}
Charlotte has a peice of string that is 14 feet long. She cuts it into pieces that are each 1/3 foot long. How many cut pieces of string does charlotte have?
Answers
Answer:
42
Step-by-step explanation:
Since each cut is 1/3 of a foot, you can tell that it will take 3 pieces to make 1 foot. Based on that ratio, you can do 14*3, which is 42 pieces.
Find the measure of angle x in the figure below:
A:35°
B:47°
C:73°
D:78°
Answers
Step-by-step explanation:
[tex]56 + 51 + y = 180 \\ y = 180 - 107 \\ y = 73[/tex]
[tex]y + x + 72 = 180 \\ 73 + 72 + x = 180 \\ x = 180 - 145 \\ x = 35[/tex]
Hope it helps
A straight angle is an angle equal to 180 degrees
Solve for y
y + 51° + 56° = 180°
y = 180° - 56° - 51°
y = 73°
Total interior angle of a triangle sum ups to 180°
Solve for x
y + x + 72° = 180°
73° + x+ 72° = 180°
x = 180° - 72° - 73°
x = 35°
What is the constant of variation?
Answers
Answer:
constant (unchanged) ratio of two variable quantities.
Step-by-step explanation:
Constant of Variation. The constant of variation in a direct variation is the constant (unchanged) ratio of two variable quantities. The formula for direct variation is. y = k x (or y = k x ) where k is the constant of variation .
will give brainliest!!! easy question.
What is one thing society could do (beyond education in schools) to increase acceptance of robotics, especially androids and cyborgs?
android: A mobile robot usually with a human form.
cyborgs: A living being whose powers are enhanced by computer implants or mechanical body parts.
Answers
This teaches them the skill that is required for creating precise and accurate instructions and also has fun while learning these valuable lessons. Teaching robotics in schools facilitates students to learn how science, engineering, math, and technology work in integration. Enhances Creativity.
________________________________
Through play, educational robots help children develop one of the basic cognitive skills of mathematical thinking at an early age: computational thinking. That is, they help develop the mental process we use to solve problems of various kinds through an orderly sequence of actions.
====================================
[tex]\color{red}{\tt{Hope \ It \ Helps}} [/tex]
Pls help easy math will give brainlest
Answers
Answer:
Problem 17
Independent -- T
dependent -- D
_________________________
Problem 16
Independent -- X
dependent -- Y
_________________________
Problem 18
Independent -- R
dependent -- Q
Step-by-step explanation:
А,
С
X = [?]°
55°
D
B
Х
E
→F
Angles are not drawn to scale.
Enter
Answers
Answer:
[tex]\displaystyle 35[/tex]
Explanation:
Complementary Angles sum up to ninety degrees, so do the following:
[tex]\displaystyle 90° = 55° + m\angle{DEF} \\ \\ 35° = m\angle{DEF}[/tex]
I am joyous to assist you at any time.
Can somebody please help me I will mark u brilliant
Answers
Answer:
2/7 + (-3/4) + (-2/7) + 4/3
If we look at 2/7 and (-2/7), we can see that both of them combined will get you a result of 0, so let's do that first.
2/7 + (-2/7) = 0
Now we're left with;
(-3/4) + 4/3
Make sure to convert both fractions into having a common denominator,
[They both have a common denominator of 12], so:
(-3/4) = (-9/12)
4/3 = 16/12
Add them:
(-9/12) + 16/12
16/12 - 9/12
= 7/12, which cannot further be simplified.
Please help will mark brainiest
Answers
Plsss help me with this answer this is due tmrw
Answers
Answer:
2
Step-by-step explanation:
13+7x=27
-13 -13
7x=14
÷7
x=2
Answer:
x = 2
Step-by-step explanation:
Given
13 + 7x = 27#1) Subtract 13 from each side.
13 + 7x - 13 = 27 - 137x = 14#2) Divide 7 from each side.
7x/7 = 14/7x = 2Linda has a credit card with a balance of $600.00. The APR on her credit card is 18%. Her minimum payment is $20.00. If Linda stops using her credit card, how long will it take (in months) to pay off the $600.00 if she makes only the minimum payment?
Answers
Simplify: 5/6(12x + 36) + 2/3
Answers
Answer:
GG EZ
Step-by-step explanation:
GG 34/57(12/16)=54/65/
67-67-&45&12+3-2(-6)
= simpli
=12-76-Fgh
Explain how to use a graph of the function f(x) to
find f(3)
Answers
Answer:
depends
Step-by-step explanation:
f(x) is the function. the (x) corresponds with the x axis or coordinate. so find 3 on the x axis and find its corresponding y.
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS PLEASE AND PLEASE EXPLAIN WHY THAT IS THE ANSWER
Answers
Answer: 40 degrees
Step-by-step explanation:
[tex]\begin{aligned}& \triangle A B C \cong \triangle D E F \\&\therefore \angle A=\angle D \quad(\text{By corresponding parts of a congruent triangle}) \\&x+20=2 x \\&2 x-x=20\\& x=20\\&\therefore m\angle A=x+20=20+20=40^{\circ} \\\end{aligned}[/tex]
If the total amount of a loan, $24,000 is paid off in 3 years with an interest rate of 3.70%, compounded monthly, what was the principal rounded to the nearest cent? Provide only a numerical value for your answer (For example, if your amount came to $5,704.97, then you would type in 5704.97 as your answer).
Answers
Answer:
21482.20
Step-by-step explanation:
A = P(1+r/m)^mt
A = Total Amount, P = Principal, r = rate. m = number of months, t = time
24000 = P(1 + 0.037/12)^12*3
24000 = P(1.003083333)^36 --- I added 1 to 0.037 divied by 12, then multiplied 12*3 on the outside of the parentheses
24000 = 1.117204101(P)
24000/1,117204101 = 1.117204101P/1.1177204101
P = 21482.20
Good luck! :)
can someone help me with this
Answers
Answer:
32
Step-by-step explanation:
first subtract 8 from his age and then multiply it by four.
The following shape has 0 pairs of parallel sides. What is the area of the shape?
Answers
Answer:
67.5 square units
Step-by-step explanation:
Formulae
[tex]\textsf{Area of a triangle}=\sf \dfrac12bh[/tex]
(where b is the base and h is the height)
[tex]\textsf{Area of a trapezoid}= \sf \dfrac12(a+b)h[/tex]
(where a and b are the bases, and h is the height)
Solution
We can divide this shape into a triangle and a trapezoid.
[tex]\implies \textsf{Area of triangle}=\sf \dfrac12 \cdot 10 \cdot 7=35\:\textsf{(square units)}[/tex]
[tex]\implies \textsf{Area of trapezoid}= \sf \dfrac12(3+10)\cdot 5=32.5\:\textsf{(square units)}[/tex]
Therefore:
Area of shape = 35 + 32.5 = 67.5 square units
Area of trapezoid
1/2(10+3)(5)1/2(13)(5)65/232.5units²Area of traingle'-
1/2(10)(7)5(7)35units²Total area:-
35+32.567.5units²How do you prove a quadrilateral is a Rhombus?
Answers
Answer:
There are two ways to do this depending on the information you know.
Step-by-step explanation:
In order for a quadrilateral to be a rhombus, the sides have to be of equal length, so proving that all four sides are the same length would be one way. A second way is to prove that diagonals connecting opposite corners are perpendicular bisectors (connect in such a way that they cut each other into equal pieces at right angles).
Suppose that each person sitting in an enclosed room that measures 10 ft x 15 ft x 12 ft produces about 600 BTUs of
body heat per hour. Which statements are correct?
A)
3 people will produce approximately 8.33 BTUs/ft3 in a 9 hour period.
B)
4 people will produce approximately 13.33 BTUs/ft3 in a 10 hour period.
C)
5 people will produce approximately 3.33 BTUs/ft? in a 2 hour period.
D)
6 people will produce approximately 7.33 BTUs/ft3 in a 4 hour period.
E)
7 people will produce approximately 9.33 BTUs/ft3 in a 4 hour period.
Answers
The volume of a cuboid is the product of its length, width, and height. Out of the five statements B, C, and E are correct.
What is the volume of a cuboid?The volume of a cuboid is the product of its length, width, and height. It is formulated as:
[tex]\rm \text{Volume of Cuboid} = Length \times Width \times Height[/tex]
As the dimensions of the room are given and a room is mostly in the shape of a cuboid. Therefore, the volume of the room can be written as,
The volume of the room = 10ft × 15ft × 12ft = 1800 ft³
A.)
The heat produced by 3 people in a period of 9 hours will be
= 600 BTU × 3 people × 9 hour
= 16,200 BTU
We already know the volume of the room is 1800 ft³. Therefore, the heat produced per unit volume can be written as:
[tex]\rm \text{Heat produced per unit volume}= \dfrac{16,200\ BTU}{1800\ ft^3} = 9\ BTU/ft^3[/tex]
Hence, the statement that 3 people will produce approximately 8.33 BTUs/ft³ in a 9 hour period is wrong.
B.)
The heat produced by 4 people in a period of 10 hours will be
= 600 BTU × 4 people × 10 hours
= 24,000 BTU
We already know the volume of the room is 1800 ft³. Therefore, the heat produced per unit volume can be written as:
[tex]\rm \text{Heat produced per unit volume}= \dfrac{24,000\ BTU}{1800\ ft^3} = 13.334\ BTU/ft^3[/tex]
Hence, the statement that 4 people will produce approximately 13.334 BTUs/ft³ in a 10 hour period is correct.
C.)
The heat produced by 5 people in a period of 2 hours will be
= 600 BTU × 5 people × 2 hours
= 6,000 BTU
We already know the volume of the room is 1800 ft³. Therefore, the heat produced per unit volume can be written as:
[tex]\rm \text{Heat produced per unit volume}= \dfrac{6,000\ BTU}{1800\ ft^3} = 3.334\ BTU/ft^3[/tex]
Hence, the statement that 5 people will produce approximately 3.334 BTUs/ft³ in a 2 hour period is correct.
D.)
The heat produced by 6 people in a period of 4 hours will be
= 600 BTU × 6 people × 4 hours
= 14,400 BTU
We already know the volume of the room is 1800 ft³. Therefore, the heat produced per unit volume can be written as:
[tex]\rm \text{Heat produced per unit volume}= \dfrac{14,400\ BTU}{1800\ ft^3} = 8\ BTU/ft^3[/tex]
Hence, the statement that 6 people will produce approximately 7.334 BTUs/ft³ in a 4 hour period is wrong.
E.)
The heat produced by 7 people in a period of 4 hours will be
= 600 BTU × 7 people × 4 hours
= 16,800 BTU
We already know the volume of the room is 1800 ft³. Therefore, the heat produced per unit volume can be written as:
[tex]\rm \text{Heat produced per unit volume}= \dfrac{16,800\ BTU}{1800\ ft^3} = 9.334\ BTU/ft^3[/tex]
Hence, the statement that 7 people will produce approximately 9.334 BTUs/ft³ in a 4 hour period is correct.
Learn more about the Volume of a Cuboid:
https://brainly.com/question/23118276
#SPJ1
Three numbers have a mean of 7.
The numbers are 15, 2, and what?
Answers
Answer:
The mean is 4
Step-by-step explanation:
15+2+4 = 21 which you can divide by 3 = 7
What's 3 + 1 because yes
Answers
Answer:
4
Step-by-step explanation:
8+y+g+0= 4
y=x^2+16x+71 in vertex form
Answers
Answer:
y=(x+8)^2+7
Step-by-step explanation:
Please help me thank you!
Answers
Answer:
a(1) = 11a(n) = 4 + a(n-1)Step-by-step explanation:
The first term shown is 11. The terms have a common difference of 15 -11 = 4.
These values let you write the recursive formula:
[tex]a_1=11\\a_n=4+a_{n-1}[/tex]
__
The common difference is added to the previous term to find the current term.
PLS I NEED HELP i have been stuck on this one for a while
Answers
Answer:
26.0
Step-by-step explanation:
We can apply the Pythagorean theorem to this problem. First, we need to square both legs. 7^2 = 49, and 25^2 = 625. If we add them, they equal 674. We then just take the square root of 674 which is 26.96. When rounded, that is 26.0
simplify 15a6bc4/35a2c4 20a3b (3a4b/7) 20a4b 3a3b/7
Answers
Answer:
The answer is
C.) 3a⁴b/7
Step-by-step explanation:
I know it's the right answer because It's the answer it showed on Edge.
17/3x+17-2/3x-15 what is the solution
Answers
Answer:
Step-by-step explanation:
[tex]\sf \dfrac{17}{3}x+17-\dfrac{2}{3}x-15 = \dfrac{17}{3}x-\dfrac{2}{3}x+17-15[/tex]
[tex]=\dfrac{17-2}{3}x + 2\\\\\\=\dfrac{15}{3}x+2[/tex]
evaluate 3 square root 125/1000
Answers
Answer: it the first one
Step-by-step explanation: