Answer:
A: angle A is 90°, angle B is 90°, angle C is 90°, and angle D is 90°
B: angle A is 80°, angle B is 80°, angle C is 100°, and angle C is 100°
D: angle A is 60°, angle B is 50°, angle C is 120°, and angle D is 130°
Step-by-step explanation:
The sum of opposite angles of a cyclic quadrilateral is 180°
It must satisfy the following:
A+C=180° and B+D=180°
Only choice A and B and D satisfy.
The correct options are options A, B, and D.
What is a cyclic quadrilateral?A quadrilateral having all its corners on a circle plus opposite angles' sum is 180° called a cyclic quadrilateral.
A) ∠A =90°
∠B=90°
∠C =90°
∠D =90°
∠A + ∠C = 180°
∠B + ∠D =180°
So, this quadrilateral can come from a cyclic quadrilateral.
B) ∠A =80°
∠B=80°
∠C =100°
∠D =10 0°
∠A + ∠C = 180°
∠B + ∠D =180°
So, this quadrilateral can come from a cyclic quadrilateral.
Similarly, options C, D, and E also can be checked whether they can come from a cyclic quadrilateral or not.
C) Cannot come from a cyclic quadrilateral since ∠A + ∠C =140°≠180°.
D) ∠A + ∠C = 180°
∠B + ∠D =180°
So, this quadrilateral can come from a cyclic quadrilateral.
E)Cannot come from a cyclic quadrilateral since∠A + ∠C = 170°≠180°.
Therefore, The correct options are options A, B, and D.
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The solid contains a cylinder and a hemisphere. Find the volume of the composite solid. 4.4m radius and 5m height
Answer:
303.95 m^3
Step-by-step explanation:
Volume = πr2h
r= 4.4
h = 5
= 3.14 × 4.4^2 × 5
= 3.14 × 19.36 × 5
= 303.95
Hence the volume is 303.95 m^3
Question :-
The solid contains a cylinder and a hemisphere. Find the volume of the composite solid that has a radius of 4.4 m and a height of 5 m.Answer :-
The volume of the composite solid is 303.952 m³.[tex] \rule{180pt}{4pt}[/tex]
Diagram :-
[tex]\setlength{\unitlength}{1mm}\begin{picture}(5,5)\thicklines\multiput(-0.5,-1)(26,0){2}{\line(0,1){40}}\multiput(12.5,-1)(0,3.2){13}{\line(0,1){1.6}}\multiput(12.5,-1)(0,40){2}{\multiput(0,0)(2,0){7}{\line(1,0){1}}}\multiput(0,0)(0,40){2}{\qbezier(1,0)(12,3)(24,0)\qbezier(1,0)(-2,-1)(1,-2)\qbezier(24,0)(27,-1)(24,-2)\qbezier(1,-2)(12,-5)(24,-2)}\multiput(18,2)(0,32){2}{\sf{4.4 \: m}}\put(9,17.5){\sf{5 \: m}}\end{picture}[/tex]
Solution :-
As per provided information in the given question, we have been given that the Radius of a cylinder is 4.4 meters. The height of a cylinder is 5 meters. We have been asked to find the volume of a cylinder.
To calculate the volume of a cylinder, we will apply the formula below :-
[tex] \bigstar \: \: \: \boxed{ \sf{ \: \: Volume_{(Cylinder)} = \pi r^2 h \: \: }}[/tex]
Substitute the given values into the above formula and solve for Volume :-
[tex]\sf:\implies Volume_{(Cylinder)} = \pi r^2 h[/tex]
[tex]\sf:\implies Volume_{(Cylinder)} = (3.14)(4.4 \: m)^2(5 \: m)[/tex]
[tex]\sf:\implies Volume_{(Cylinder)} = (3.14)(19.36 \:m^2)(5 \: m)[/tex]
[tex]\sf:\implies Volume_{(Cylinder)} = (60.7904 \:m^2)(5 \:m)[/tex]
[tex]\sf:\implies\bold{Volume_{(Cylinder)} = 303.952 \: m^3}[/tex]
Therefore :-
The volume of the composite solid is 303.952 m³.[tex]\\[/tex]
Learn more about the Volume of a Cylinder at https://brainly.com/question/15197979
Have a great day! <33
3.3.4 Practice: Angle Relationships in Triangles
Practice
Math 8 Sem 2
Points Possible:5
Date:
Tips for Success
Read the assignment carefully and make sure you answer each part of the question or questions.
Check your work when you're done.
Your Assignment
Answer the questions to find the measures of ∠2 and ∠3.
1. What is the measure of ∠4? Explain how you know.
Write your answer in the space below.
2. What is the sum of the measures of the angles in a triangle?
Write your answer in the space below.
3. ∠1 is in a triangle with ∠4 and a 53° angle. What is the sum of the measures of those two angles?
Write your answer in the space below.
4. What is the measure of ∠1? Explain.
Write your answer in the space below.
5. Find the measure of ∠2. Explain how you found its measure.
Write your answer in the space below.
6. What is the measure of ∠3? Explain.
Write your answer in the space below.
For question 1 and 2, you should keep in mind that the sum of all angles in a triangle is 180°. 1. If the measure of one angle of a triangle is 90 degrees, you can assume that the sum of the other two triangles should be 90 degrees. Because
180 - 90 = 90
The sum of the three angles of any triangle is equal to 180 degrees.
Angle 2=127 because 180-53=127.
Angle 3=23 because 180-30-127=53
Angle 1=37 because 90-53=37
Angle 4=90
Angle 1+4=127
The measure of ∠1 is 125° .
Next x+64=110. The reason why you can do this is because ∠R is going to be an opposite interior angle. Subtract 64 from the left and right sides. x=46
Answer:
AP EX
Step-by-step explanation:
i have to do a number graph using fractions I dont know how
Answer:
What kind of graph?
Factor the common factor out of each expression 64p - 24
Answer: 8(8p-3)
Step-by-step explanation:
64p and 24 are both divisible by 8
64p/8 = 8p
24/8 = 3
8(8p) - 8(3)
Distributive property
8(8p-3)
Does anyone know where I can find revision questions that will help me in my maths Gcse?
Step-by-step explanation: amazon they have everything
What is the distance between the points (6,2) and (1,-5)
PLEASE ANSWER QUICK
Answer:
[tex]\displaystyle d = \sqrt{74}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Algebra II
Distance Formula: [tex]\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Step-by-step explanation:
Step 1: Define
Point (6, 2) → x₁ = 6, y₁ = 2
Point (1, -5) → x₂ = 1, y₂ = -5
Step 2: Find distance d
Simply plug in the 2 coordinates into the distance formula to find distance d
Substitute in points [Distance Formula]: [tex]\displaystyle d = \sqrt{(1-6)^2+(-5-2)^2}[/tex][Distance] [√Radical] (Parenthesis) Subtract: [tex]\displaystyle d = \sqrt{(-5)^2+(-7)^2}[/tex][Distance] [√Radical] Evaluate exponents: [tex]\displaystyle d = \sqrt{25+49}[/tex][Distance] [√Radical] Add: [tex]\displaystyle d = \sqrt{74}[/tex]Anna worked out at a gym for 2 hours.
Her workout included stretching for 21
minutes, jogging for 45 minutes, and
lifting weights for the remaining amount
of time. What percentage of Anna's
workout was spent lifting weights?
Answer:
! not sure if correct !
Step-by-step explanation:
54% of anna's workout was lifting weight
Answer:
45%
Step-by-step explanation:
21+45=66=1 hour 6 mins
2 hours=120 min
120-66=54
(54/120)x100=45 45%
Решите уравнение: а) 6x = 18;
б) –3x = 15; в) 7x = -63;
г) 5x - 3 = 12; д) — 4х + 1 = 13; е) -x+ 9 = 16.
Answer:
6x=18
x=18/6
x=3.
-3x=15
x=15/-3
x=-5
7x=-63
x=-63/7
x=-9
5x-3=12
5x=12+3
5x=15
x=15/5
x=3
-4x+1=13
-4x=13-1
-4x=12
x=12/-4
x=-3
-x+9=16
-x=16-9
-x=7
x=7/-1
x=-7
Pls answer I'll give brainliest to whoever replies first
A company claims that their new bottle holds 25% more laundry soap. If their original container held 42 fluid ounces of soap, how much does the new container hold?
The new container holds ___ fluid ounces.
HELP PLEASE. <3.
Answer:
52,5
It holds 10.5 more laundry soap
Find the slope y = 6x-1
Answer: the slope should be 6 I’m sure
Step-by-step explanation:
Answer:
y
=
−
6
x
−
1
Step-by-step explanation:
x-1
Which of the following functions has a factor of x−7?
f(x)=x3−16x2+53x+63
f(x)=x3−2x2−73x−70
f(x)=x3−16x2+53x+70
f(x)=x3−2x2−73x−77
According to the question, the function that has a factor of x - 7 is f(x) = x³ - 16x² + 53x+ 70
If x - a is a factor of a function f(x), then f(a) = 0
For x - 7 to be a factor of f(x), f(7) must be equal to zero.
For f(x) = x³ - 16x² + 53x+ 70
f(7) = 7³ - 16(7²) + 53(7) + 70
f(7) = 343 - 16(49) + 53(7) + 70
f(7) = 343 - 784 + 371 + 70
f(7) = 0
Since f(7) = 0 for f(x) = x³ - 16x² + 53x+ 70, x - 7 is a factor of f(x) = x³ - 16x² + 53x+ 70
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In JKL, J = 7.9 inches, K = 2 inches and L =9.8 inches. Find the measure of K to the nearest degree
Answer:
4
Step-by-step explanation:
Delta math
The measure of K to the nearest degree is 4°.
What is the laws of cosines?The law of cosines, commonly referred to as the cosine rule or the cosine formula, in trigonometry essentially connects the length of the triangle to the cosines of one of its angles. It claims that we can determine the length of the third side of a triangle if we know the length of the first two sides and the angle between them.
Given ΔJKL,
j = 7.9 inches, k = 2 inches, l = 9.8 inches
to find the measure of angle K,
we can calculate the angle by cosine law,
cosK = (j² + l² - k²)/(2.j.l)
cosK = (7.9² + 9.8² - 2²)/(2*7.9*9.8)
cosK = 154.45/154.81
K = cos⁻¹(0.99748)
K = 4.067⁰ ≈ 4°
Hence angle K is 4°.
Learn more about the laws of cosines;
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PLS HELP I TRIED GETTNIG BETTER PHOTOS THIS TIME
Answer:
ADD MORE POINTS THEN WE CAN TALK HUN
Step-by-step explanation:
Answer: )*39082[938[928
Find the missing base
Select ALL the statements that are true.
a
The radius of a circle is two times larger than the diameter.
b
The diameter of a circle is two times larger than the radius.
c
The diameter is half the radius of a circle.
d
The radius is half the diameter of a circle.
Answer:
a b d are true statement ..............
Can someone help me with this I need help
Answer:
d)550
15 * 10 = 150; 150 * 2 = 300
5 * 10 = 50; 50 * 2 = 100
5 * 15 = 75; 75 * 2 = 150
300 + 100 + 150 = 550
can somebody help me please
Given parameters :
Camille is 7 years older than Donny Donny is 4 years younger than TommyTo find :
Total ages of the three peopleSolution with details :
Let us take the age of Donny as x years - i
According to the given question we have ,
Camille's age = x + 7 yearsTommy's age - 4 = Donny's age Tommy's age = Donny's age + 4Tommy's age = x + 4 ( from i )Total ages of three people = Sum of their ages
Camille's age + Donny's age + Tommy's age x + 7 + x + x + 4 3x + 11You have 5 cups of fruit punch concentrate. The recipe calls for 3/4 cup of concentrate for one bowl of punch. how many bowls can you make?
what is 18,693.51 as 2dp
Answer:
What are u even talking about
Step-by-step explanation:
what is 7/8 days in hours
BRAINLIEST! What is the slope of the line ?
Answer:
[tex]\displaystyle m=\frac{-4}{5}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Reading a Cartesian planeCoordinates (x, y)Slope Formula: [tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Find points from graph.
Point (-3, 1)
Point (2, -3)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute in points [Slope Formula]: [tex]\displaystyle m=\frac{-3-1}{2+3}[/tex][Slope] Subtract/Add: [tex]\displaystyle m=\frac{-4}{5}[/tex]11). Miguel has $87,255 in a savings account that earns 9% interest per year in simple interest. To the nearest cent, how much will he have in 4 years? OA). $31,411.80 O B). $123,167.55 O C). $35,912.55 OD). $118,666.80
Answer:
[tex]A). \: \$31,411.80[/tex]
Step-by-step explanation:
[tex]s.i = \frac{p \times r \times t }{100} \\ \\ s.i = \frac{87255 \times 9 \times 4}{100} = 31,411.8[/tex]
Answer:A
Step-by-step explanation:
solve the following equation for a a-32=47
Answer:
5
Step-by-step explanation:
because use the calculator pls ......................
Find the approximate circumference, in terms of π, of chicken pie that had a radius of 3.25 inches.
A) 3.25 πin.
B) 6.5 πin.
C) 20 πin.
D) 1.625 πin.
Answer:
B
Step-by-step explanation:
I Had this
what is 10 2/3 in inproper numbers
Answer:
[tex]\frac{32}{3}[/tex]
Step-by-step explanation:
you simply multiply the bottom number times the whole number:
10*3 =30
then add the top number:
30+2=32
and finally, you put the 32/3
can anyone help me please?
Answer: I think it might be A bit Im not sure
Step-by-step explanation:
Answer:
i think its A not suree
Step-by-step explanation:
Complete the following statement.
Mac mixes 14 ounces of red paint with 6 ounces of blue paint. The ratio of blue paint to total paint is because for every 6 ounces of , there is 20 ounces of .
Answer:
The Ratio you are looking for is 5:8
Step-by-step explanation:
Answer:
6: azul
20: lila o morado
(giving brainiest)
answer this correctly
Answer:
A =224 in ^3
Step-by-step explanation:
Answer:
56in squared
Step-by-step explanation:
invests $8,000 in a savings plan that pays 5% per year. What will the account balance be at the end of the first year?