Answers
Answer:
15.25 cm²Step-by-step explanation:
The diameter is the hypotenuse of the triangle:
d = √8²+6² = √100 = 10 cmArea of the semicircle:
A = 1/2πr² = 1/2(3.14)(10/2)² = 39.25 cm²Area of the triangle:
A = 1/2bh = 1/2(6)(8) = 24 cm²Shaded area:
39.25 - 24 = 15.25 cm²Answer:
Area of shaded region is 15.25 m
Step-by-step explanation:
Step 1 :- Finding the Diameter
As we know that length of the hypotenuse of triangle is the diameter of circle
To find length of hypotenuse using Pythagoras theorem
(a)²+(b)²= (c)²
Where, a and b is the legs and c is the length of hypotenuse of triangle.
( 8m ) ² + ( 6m ) ² = ( c ) ²
64m² + 36m² = c ²
Combine like terms
100 m² = c ²
Taking square root of each side
√100 m ² = √c²
10 m = c
Hypotenuse is the diameter of circle which is 10m.
Diameter = 10 m
Radius , r = 10 / 2 = 5 m
Step 2:- Finding the area of semi- circle
Area of semi-circle = 1 / 2 π r²
substitute the values
Area of semi-circle = 1 / 2 × π × ( 5 m )²
Evaluate the exponent
Area of semi-circle = 1 / 2 × π × 25 m²
Using value of π = 3.14
Area of semi-circle = 1 / 2 × 3.14 × 25 m²
Multiply , we get
Area of semi-circle = 39.25 m²
Step 3 :- Finding the area of triangle
Area of triangle = 1/2 × base × height
Where , base = 6 m and height = 8 m
substitute the values
Area of triangle = 1/2 × 6m × 8m
multiply,
Area of triangle = 1/ 2× 48 m²
Divide
Area of triangle = 48 m² / 2
Area of triangle = 24 m ²
Step 4 :- Area of shaded region is given by
= Area of semicircle - area of triangle
= 39.25 m² - 24 m² = 15.25 m
Hence , Area of shaded region is 15.25 m
Related Questions
what is the solutions to the system of equations? written in plot form
y=1.5x-4
y=-x
Answers
Answer:
The solution to the equation is (1.6, -1.6)
Step-by-step explanation:
When you plot the equations on a graph, they intecept at 1.6 and -1.6.
1. Cheyenne needs to write a linear equation that is parallel to the x-axis. Which equation could
she write?
Answers
For example y=3 would be a straight line across 3 on the y axis and would never rise or decline in slope
When 9 is added to five times a number, we get 19. The number is
Answers
Answer:
the number is 2
Step-by-step explanation:
5x2=10+9=19
NEED HELP ASAP !!!! SOMEONE HELP ME
Answers
Answer:
A
Step-by-step explanation:
cos(71)x19=6.1
6.1 =6
Answer:
ladder is 20 feet long.So answer is option c.
Step-by-step explanation:
let the length of a ladder be x
take 71 degree as reference angle
using sin rule
sin 71 =opposite/hypotenuse
0.94=19/x
x=19/0.94
x=20.21
x=20 feet
square root of 44,100 by division
Answers
210 IS THE POSSIBLE ANSWER
Find the missing measurement in this parallelogram.
Can someone please help?????
I must show the work
Answers
Answer:
35º
Step-by-step explanation:
u = 180 - 145
u = 35
Explanation: Since we know that its a parallelogram, you would take 180(the degrees of a straight line) and subtract it by 145. 180-145= 35
The table shows the height of water in a pool as it is
being filled
The slope of the line through the points is 2. Which
statement describes how the slope relates to the height
of the water in the pool?
Height of Water in a Pool
Time
(min)
AN
Height
(in.)
8
12
16
20
24
o The height of the water increases 2 inches per
minute.
o The height of the water decreases 2 inches per
minute
O The height of the water was 2 inches before any
water was added
O The height of the water will be 2 inches when the
pool is filled
6
8
10
Answers
900Answer:900
Step-by-step explanation:
Can anyone Help me on this ?
Answers
Answer: 52=y and 15=x
Step-by-step explanation:
Since we know m and n are parallel that means alternate exterior angles are equal to each other.
The angle with 8x+8= the angle above the one that says 3x+7
Two angles on a line add up to 180 so 8x+8+3x+7=180
Now we can solve
[tex]8x+8+3x+7=180\\(8x+3x)+(8+7)=180\\11x+15=180\\11x+15-15=180-15\\11x=165\\\frac{11x}{11} =\frac{165}{11} \\x=15[/tex]
Now we know that x=15
The angle y and the angle of 3x+7 are corresponding angles. Corresponding angles are congruent. Subbing in 15 for x we can solve for y
[tex]3(15)+7=y\\45+7=y\\52=y[/tex]
What point has coordinates of (-5,-2)
Answers
Point C has the coordinates: (-5, -2)
Answer:
c
Step-by-step explanation:
its urgent please help ASAP ty!!
Answers
Answer:
the answer choices oh uhm I think i
Question 6
In the diagram, line I and line m are parallel, m24 = 7x + 5 and m25 = 5x + 27. Solve for x.
7
1
2
4
3
8
5
7
7
6
А A
x = 5
B
X = 11
С
x = 13
D
X = 14
Answers
Answer:
x=11
Step-by-step explanation:
this would now be...
7x+5=5x+27
collect like terms
7x-5x=27-5
2x=22
make x the subject of the formula
x=22/2
x=11
Help,anyone can help me do quetion.
Answers
Answer:
Step-by-step explanation:
The given figure is parallelogram becasue their opposite sides are equal.
68+45+30+x=180 degree (sum of adjacent sides of a parallelogram are equal)
143 +x=180
x=180-143
x=37 degree
y=45 degree
Consider this equation..
Answers
Answer:
-27
Step-by-step explanation:
[tex]\sqrt{x^4} - y^2\\\sqrt{3^4} - (-6)^2\\\sqrt{3*3*3*3} - 36\\3*3 - 36\\9 - 36\\-27[/tex]
Answer:
45
Step-by-step explanation:
[tex]\sqrt{x^{4} } -y^{2}[/tex]
Plug in 3 for x and -6 for y
[tex]=\sqrt{3^4}-\left(-6^2\right)[/tex]
[tex]=\sqrt{3^4}+6^2[/tex]
[tex]=\sqrt{3^{4} } =3^{2}[/tex]
[tex]=3^2+6^2[/tex]
[tex]3^{2} =9[/tex]
[tex]=9+6^2[/tex]
[tex]6^{2} =36[/tex]
[tex]=9+36[/tex]
[tex]=45[/tex]
Find the function value. tan 240°
Answers
Answer:
Step-by-step explanation:
240 has a reference angle of 60 in the third quadrant. The side across from 60 is going to be negative in this quadrant, measuring -√3; the side adjacent to the angle is also negative in this quadrant, measuring -1. The tangent ratio is the side opposite the angle over the side adjacent to the angle, so
tan(240) = √3
Answer:
-240
Step-by-step explanation:
A toy store's percent of markup is 45%. A model train costs the store $50. Find the
markup.
Answers
Answer:
$22.50
Step-by-step explanation:
Answer:
$95 is the markup
Step-by-step explanation:
Add 45+50=95
you guys know the drill,
Triangle ABC has side lengths of 2 cm, 4 cm and 5 cm. Triangle DEF has side lengths of 6 cm, 11cm, and 20 cm. Can triangle ABC and triangle DEF be dilations of each other? Explain.
Answers
Answer:
No because they are not proportional. 2•3=6 but 4•3 does not equal 11.
what is the value of x? x+15=2x-40
Answers
Answer:
55 =x
Step-by-step explanation:
x+15=2x-40
Subtract x from each side
x-x+15=2x-x-40
15 = x-40
Add 40 to each side
15+40 = x-40+40
55 =x
Answer:
x = 55
Step-by-step explanation:
x+15=2x-40
take away x from both sides and add 40 on both sides to get the like terms on each side
55 = x
Marco needs to climb up to the roof of his house. He placed his
ladder so that the bottom of the ladder was 4 feet away from the
wall. If his ladder was 13 feet long, how high up was the top of the
ladder against the wall of the house?
Answers
Answer:
12.4 feet
Step-by-step explanation:
Pythagorean theorem
a^2 +b^2 = c^2
4^2 + b^2 = 13^2
16 + b^2 = 169
b^2 = 153
b=12.4 feet
Help me to do this question
Answers
Answer:
Step-by-step explanation:
1) Vertically opposite angles are equal.
x + 30 = 180 - 2x
Add '2x' to both sides
x + 30 +2x = 180
3x + 30 = 180
Subtract 30 from both sides
3x = 180 - 30
3x = 150
x = 150/3
x = 50
2) Let the angle be x
It's complement angle = 90 - x
[tex]x = \frac{2}{3}(90-x)\\\\x = \frac{2}{3}*90 - \frac{2}{3}*x\\\\x =2*30 - \frac{2}{3}x\\\\x +\frac{2}{3}x = 60\\\\\frac{3}{3}x+\frac{2}{3}x=60\\\\\frac{5}{3}x =60\\\\x = 60*\frac{3}{5}\\\\x = 12*3\\x = 36[/tex]
The angles are : 36 , 54
3) Let the angle be x
It's supplement = 180 - x
[tex]x = \frac{1}{5}(180-x)\\\\x =\frac{1}{5}*180 - \frac{1}{5}x\\\\x + \frac{1}{5}x= 36\\\\\frac{5}{5}x +\frac{1}{5}x = 36\\\\\frac{6}{5}x = 36\\\\x = 36*\frac{5}{6}\\\\x = 6*5 = 30\\[/tex]
Angles are 30 , 150
4) Ratio = 7 : 3
The angles are = 7x , 3x
7x + 3x = 180
10x = 180
x = 180/10
x = 18
7x = 7 * 18 = 126
3x = 3 * 18 = 54
Angles are 126 , 54
1. Intersecting lines are lines that cross each other. When two lines intersect, the opposite angles are equal.
Given: x + 30° and 180° - 2x are vertically opposite angles
⇒ x + 30° = 180° - 2x
⇒ 3x = 150°
⇒ x = 50°
2. Let the complement be : C
Given : The other angle is two third of its complement
[tex]\sf{\implies Other \ angle = \dfrac{2}{3} \times C}[/tex]
Two angles are said to be Complementary if their sum is equal to 90°
[tex]\sf{\implies C + \dfrac{2C}{3} = 90}[/tex]
[tex]\sf{\implies \dfrac{5C}{3} = 90}[/tex]
[tex]\sf{\implies 5C = 270}[/tex]
[tex]\sf{\implies C = 54}[/tex]
[tex]\sf{\implies Other \ angle = \bigg(\dfrac{2}{3} \times C\bigg) = \bigg(\dfrac{2}{3} \times 54\bigg) = 36 }[/tex]
Answer: The size of the angle which is two third of its complement is 36°
3. Let the supplement be : S
Given : The other angle is one fifth of its supplement
[tex]\sf{\implies Other \ angle = \dfrac{1}{5} \times S}[/tex]
Two angles are said to be Supplementary if their sum is equal to 180°
[tex]\sf{\implies S + \dfrac{S}{5} = 180}[/tex]
[tex]\sf{\implies \dfrac{6S}{5} = 180}[/tex]
[tex]\sf{\implies 6S = 900}[/tex]
[tex]\sf{\implies S = 150}[/tex]
[tex]\sf{\implies Other \ angle = \bigg(\dfrac{1}{5} \times S\bigg) = \bigg(\dfrac{1}{5} \times 150\bigg) = 30 }[/tex]
Answer: The size of the angle which is one fifth of its supplement is 30°
4. Two supplementary angles are in the ratio 7 : 3
Let the supplementary angles be : 7S and 3S
Two angles are said to be Supplementary if their sum is equal to 180°
⇒ 7S + 3S = 180°
⇒ 10S = 180°
⇒ S = 18°
First Angle : 7S = (7 × 18) = 126°
Second Angle : 3S = (3 × 18) = 54°
97.5 squared root + 1.96
Answers
Answer:
11.83
Step-by-step explanation:
97.5 squared root + 1.96
√97.5 + 1.96
9.87 + 1.96
= 11.83
What do rectangles and parallelograms have in common?
A.
They are quadrilaterals that have four square corners.
B.
They are quadrilaterals that have two square corners.
C.
They are quadrilaterals that have all four sides equal in length.
D.
They are quadrilaterals that have opposite sides equal in length.
Answers
Answer:
They are quadrilaterals that have opposite sides equal in length.
Answer:
D. They are quadrilaterals that have opposite sides equal in length.
Step-by-step explanation:
Rectangles and parallelograms both have 2 sets of parallel sides. The parallel sides are of equal length.
Rectangles are special parallelograms that have 2 sets of corners that have 90 degree angles
Squares are special rectangles that have all 4 sides of equal lengths.
16 people fill 1/4 of a bus. how many fill 1 bus
Answers
Answer:
64 people
Step-by-step explanation:
16 people : 1/4 bus
We need 1 bus so multiply each part by 4
16 people *4 : 1/4 bus *4
64 people : 1 bus
Answer:
64
Step-by-step explanation:
16 people fill 1/4 so you need to multiply it by 4 which equals 64
Good luck!
Answer have to be units please and thank you
Answers
The relation defined by the set of ordered pairs {(0,2), (-2,2), (1,4), (0,-1)} is not a
function. Which of the ordered pairs listed below, if omitted from this relation, will make
the resulting set a function.
A) (4,1)
B) (0,-1)
C) (1,4)
D) (-2,2)
Answers
Answer:
B
Step-by-step explanation:
In fact in this case there is only a value of y when x is equal to 0
How many proportional relationships are shown in the coordinate plane below?
Choose 1 answer
A: 0
B: 1
C: 2
D: 3
Answers
Answer:
C: 2
Step-by-step explanation:
[tex]{ \purple{purple \: line}} \: \: and \: \: { \green{green \: line}}[/tex]
There are two numbers of proportional relationships are shown in the coordinate plane which is correct option (C).
What is graph?A graph can be defined as a pictorial representation or a diagram that represents data or values.
What is proportional relationship?A proportional relationship between two quantities is the one in which the rate of change is constant or one in which the ratio of one quantity to the other is constant.
In this graph, We'll analyze the graph of proportional relationships. If the graph of a relationship is a straight line, it is a proportional relationship.
Since, there are two straight lines in the graph.
So, there are two proportional relationships are shown in the graph.
Hence, there are two numbers of proportional relationships are shown in the coordinate plane.
Learn more about graph here:
brainly.com/question/16608196
#SPJ2
The coordinates of AB are A(2,3) and B(8,1) The perpendicular bisected of AB is CD and point C lies on AB the length of CD is 10 units
Answers
Answer:
The Coordinates of Point C are C(5,2)
The slope of CD is 3
The possible coordinates of point D(a,b) are (6, 5) and (4, -1)
Step-by-step explanation:
According to the Question,
Given, The end points of AB are A(2,3) and B(8,1). The perpendicular Bisector of AB is CD, and point C lies on AB. The length of the CD is √10 units.Now, Let The Coordinates of Point C are C( x , y ) .
Thus, C( x , y ) = [tex]\frac{(8+2)}{2} , \frac{(1+3)}{2}[/tex]The Coordinates of Point C are C( x , y ) = [tex]\frac{(10)}{2} , \frac{(4)}{2}[/tex] ⇒C(5, 2).
And, The slope of AB = [tex]\frac{(1-3)}{(8-2)}[/tex] ⇒ [tex]\frac{-2}{6}[/tex] ⇔ [tex]\frac{-1}{3}[/tex] .Thus, The slope of CD is [tex]\frac{-1}{The slope of AB}[/tex] = [tex]\frac{-1}{\frac{-1}{3} }[/tex] ⇔ 3.
Let the coordinate of D be (a, b) then⇒ √{ (b - 2)² +(a - 5)² } = √10
on squaring both sides we get,
⇒ a² - 10a + 25 + b² - 4b + 4 = 10
⇒ a² + b² - 10a - 4b = - 19 ⇔⇔ (Equation 1)
We Know, the slope of CD = 3⇒Thus, (b - 2)/(a - 5) = 3
⇒ b - 2 = 3a - 15
⇒ b = 3a - 13 ⇔⇔ (Equation 2)
Putting value of Equation 2 into Equation 1, We get⇒a² + (3a - 13)² - 10a - 4(3a - 13) = - 19
⇒a² + 9a² - 78a + 169 - 10a - 12a + 52 = - 19
⇒10a² - 100a + 240 = 0
⇒a² - 10a + 24 = 0
⇒(a - 4)(a - 6) = 0
⇒a = 4 or a = 6
Now,
When a = 4 , b = 3(4) - 13 ⇒ 12 - 13 ⇒ b = -1When a = 6, b = 3(6) - 13 ⇒ 18 - 13 ⇒ b = 5Therefore, the possible coordinates of point D(a,b) are (6, 5) and (4, -1).
Find the length of the diagonal of a rectangular football pitch with sides 42.4 m
and 76.1 m.
Give your answer rounded to 1 DP.
Answers
87.1
remember a²+b²=c²
take the root on both sides, then you get what the calculation in the screenshot means.
Susie leaves to go shopping driving 45 miles per hour toward the Happy Shopper Grocery Store.
Susie is originally 20 miles due west of the store. Sammie leaves for the Happy Shopper Grocery
Store at the same time driving 50 miles per hour on the same road but she is 25 miles due East
Who reaches the store first? By how much time (in hours)? Round to the nearest hundredth if
needed.
Answers
Answer:
Susie reaches the store first being ahead by 0.06 hours.
Step-by-step explanation:
20 miles going 45 miles/hour.
20 miles / (45 miles / hour) = 20 miles hours / 45 miles =
= 20 hours / 45 = 4/9 hours = 0.44 hours
25 miles going 50 miles/hour.
25 miles / (50 miles / hour) = 25 miles hours / 50 miles =
= 25 hours / 50 = 1/2 hours = 0.5 hours
So Susie needs less time (= arrives first).
the difference is 0.5 - 0.44 = 0.50-0.44 = 0.06 hours
as additional practice :
0.06 hours is 60 × 0.06 minutes.
60 × 0.06 = 60 × 6 / 100 = 360 / 100 = 3.6 minutes.
I've been stuck on this question. if you can help me out that will be awesome :D
(picture is the problem)
Answers
Answer:
5 Units!
Step-by-step explanation:
Give Brainiest answer to me! :D I neeeed itttt
Determine whether segments with lengths of 27, 28, and 7 form a triangle. If so, classify the triangle as acute, right, or obtuse,
HELP!!! please
Answers
Answer:
38
Step-by-step explanation:
triangle
