Answer:
Perimeter of ΔABC =32.31 units
Area of the triangle ABC = 47.81 sq. unit
Step-by-step explanation:
In triangle ABC
[tex]\angle A = 60^{\circ}\\\angle C = 45^{\circ}[/tex]
Angle sum property of triangle : The sum of the measures of the all angles of triangle is 180°
[tex]\angle A + \angle B + \angle C = 180^{\circ}\\60 + \angle B + 45 = 180\\\angle B + 105 = 180\\\angle B = 75^{\circ}[/tex]
Now we are supposed to find the perimeter and the area of the ΔABC
We will use the sine rule to find the lengths of sides BC and AC
Sine rule : [tex]\frac{Sin A}{BC}=\frac{Sin B}{AC}=\frac{Sin C}{AB}[/tex]
[tex]\frac{Sin 60}{BC}=\frac{Sin 75}{AC}=\frac{Sin 45}{9}\\BC \times sin(45) = 9 \times sin(60)\\ BC = 11.02[/tex]
[tex]AC \times sin(45) = 9 \times sin(75)[/tex]
AC = 12.29
Perimeter of ΔABC = AB + BC + AC
Perimeter of ΔABC = 9 + 11.02 + 12.29 =32.31 units
Area by using the sine rule:
Area of the triangle ABC =[tex]\frac{1}{2} (AB)(BC) sin B[/tex]
Area of the triangle ABC =[tex]\frac{1}{2} (9)(11) sin(75)[/tex]
Area of the triangle ABC = 47.81 sq. unit
What are some movies, shows, and animes I should watch?
Answer:
Napolian Dynamite is a dumb funny movie and madalorian is a good show, im not into star wars but mandalrian was fun
Avatar the last air bender was a really funny series I haven't met someone who doesn't like it
12. Which of the following sets of ordered
pairs represents a function?
A. {(0,3), (2, 6), (7, 12), (0, -3))
B. {(6, 1), (6,2), (6,3), (6,4)}
C. {-12,0), (-13, -1), (-14, -2), (-14, -3))
D. {(1, 6), (2, 6), (3, 6), (4, 6)
Answer:
D
Step-by-step explanation:
D represents a function because the input (x) is not repeating itself.
A sports club tests its players for steroid usage with a test that gives a positive reading 93% of the time when administered to a steroid user and gives a negative reading 96% of the time when administered to a player who does not use steroids. It is known that 8% of the players are steroid users. Draw a probability tree diagram for the given problem.
What is the probability that a player does not use steroids, given that the person had a positive reading on the test? Round your answer to four decimal places.
Answer:
P(no steroid user / positive reading on test) = 0.3309
Step-by-step explanation:
Computation:
Bayes' Theorem:
P(A / B) = P(A and B) / P(B)
P(no steroid user / positive reading on test) = P(no steroid user and positive) / P(positive)
P(no steroid user / positive reading on test) = (0.92 x 0.04)/(0.08 x 0.93 + 0.92 x 0.04)
P(no steroid user / positive reading on test) = 0.3309
The probability that a player does not use steroids, given that the person had a positive reading on the test is 0.3309.
Calculation of the probability:Since A sports club tests its players for steroid usage with a test that gives a positive reading 93% of the time when administered to a steroid user and gives a negative reading 96% of the time when administered to a player who does not use steroids. It is known that 8% of the players are steroid users.
So, here the probability should be
P(no steroid user / positive reading on test) = (0.92 x 0.04)/(0.08 x 0.93 + 0.92 x 0.04)
= 0.3309
Hence, The probability that a player does not use steroids, given that the person had a positive reading on the test is 0.3309.
Learn more about probability here: https://brainly.com/question/24442276
3 yards 2 feet is how many inches
Please help with the question, and if you can please explain how you got the answer. Thank you.
9514 1404 393
Answer:
C. p ∨ q
Step-by-step explanation:
The compound statement is of the form ...
p or q
where ...
p = Memorial day is in July
q = parallel lines intersect
The symbol ∨ is used to represent the disjunction (or).
The symbolic form of the given statement is ...
p ∨ q
__
As it happens, both p and q are false, which means the disjunction is false. That has no bearing on the symbolic representation of it.
_____
∧ represents conjunction (and).
Which equation represents a proportional relationship? y = 9x y = 9x , y = 9x + 1 y = 9x + 1 , y = 9x + 9
Answer: the answer is y=9x
Step-by-step explanation:
Thank you guys so much for all the help :)
Answer:
29.2
Step-by-step explanation:
This technique is called the Pythagoras Theorem.
a^2+b^2=c^2
15^2+25^2=c^2
225+625=c^2
850=c^2
Take the square root out of both sides.
c= 29.1547595
Round numbers
c= 29.2
Mark me brainliest if you can. Hope this helps.
Emily is saving up to buy a new phone. She already has $75 and can save an additional $7 per week using money from her after school job. How much total money would Emily have after 4 weeks of saving? *
Answer:
$103
Step-by-step explanation:
How do you do this question? And why is the answer E and not A?
Step-by-step explanation:
The answer should be A.
We can start with the fact that x = cos t, y = sin t traces the unit circle counterclockwise once every 2π radians, starting at (1, 0).
By starting at t = π instead of t = 0, we move the starting point to (-1, 0) without changing the direction.
All 5 options have the correct starting point (except D) and number of rotations, but only option A is counterclockwise.
Which expression is equivalent to 4(3+5) - 3.92?
Answer:
28.08
Step-by-step explanation:
4(3+5)−3.92
Add 3 and 5 to get 8
4×8−3.92≈28.08
Multiply 4 and 8 to get 32
32−3.92≈28.08
Subtract 3.92 from 32 to get 28.08
28.08
12
What type of number is -?
3
Choose all answers that apply:
Whole number
B
Integer
Rational
D
Irrational
Answer:
BBbbBbbbbbbbbbbbbbbbbb
bbbbbbbbbbbb
Step-by-step explanation:
integer
Rational
I NEED YOUR HELP!!!!
Its the last one as i remember
a kinder garden class has 9 girls and 11 boys in class what percent of the class are girls
Answer:
45%
Step-by-step explanation:
i am not that sure but when i calculated it, i got this answer.
Answer: 55%
Explanation: 11 boys and 9 girls.....total of 20 students in the class.
of those students, 11 are boys...
11/20 = 0.55 = 55% <== so 55% are boys
The triangles shown below must be congruent.
M
40°
40°
12
12
O A. True
O B. False
The statement is true because :
Both these triangles are Congruent to each under the ASA congruence postulate . We say this because :
1) The two angles in both the triangles which are each other's corresponding part are equal ( 40° = 40° and 50° =50° )
2) There is one common side which is 12 . As both of the common sides are equal , these triangles are said to be congruent to each other .
-3= -2+m /6
Solve each equation
Answer:
m= -6
Step-by-step explanation:
Answer:
-16=m
Step-by-step explanation:
-3=-2+m/6
6*-3=-2+m*6
-18=-2+m
2+-18=m
-16=m
NEED HELP !!!!!!!!!!!!!!!!!!!!!!!!
Answer:
S4. 9x=61
R1. Subtrative Property of Equality
R2. Mutiplication property of Equality
R.3 Distributive Property of Equality
R5. Division Property of Equality
use the distribution property to write the problem without parenthesis, 4 (2x+11) - 8x+36
Answer:
80
Step-by-step explanation:
8x+44-8x+36
8x-8x+44+36
44+36
80
One angle of a right triangle measures 21∘. What is the measure of the other angle?
Answer: 24
Step-by-step explanation:
Answer:
The correct angle is 69⁰
Determine the intercepts of the line
x- intercept (_,_)
y- intercept (_,_)
Answer:
y: (0,15)
X: (-40,0)
Answer:
X intercept is (-40,0) y intercept is (0,15)
Step-by-step explanation:
The intercept is when it crosses the axis.
if (x + 4) is a factor of polynomial p, which statement must be true?
A.p(4) = 0
B. p(-4) > 0
C. p(-4) = 0
D. p(4) < 0
Answer: p(-4)=0
Step-by-step explanation:
100% correct
If x + 4 is factor of polynomial p than p(-4) = 0. Hence, option C. is correct.
(x + 4) is a factor of polynomial p
Factors can be define splitting the value in multipliable values.
If x + 4 is factor of the polynomial p
This can be true only if,
x + 4 = 0
x = -4, satisfy the polynomial equation i.e.
p(-4) = 0
Thus, x + 4 will be the factor of polynomial p only if p(-4) = 0.
Learn more about Factors here:
https://brainly.com/question/24182713
#SPJ2
Solve for x: 3x − 24 = 81
Answer:
34
Step-by-step explanation:
3x -24 =81
+24 +24
3x 102
/3 /3
x = 34
Answer:
Your answer would be 105/3 or one hundred five over three.
Step-by-step explanation:
I took the test and got it correct. :)
Which number is divisible by both 3 and 9?
OA) 36,359
OB) 36,622
OC) 48,618
OD) 48,667
Answer:
OC
Step-by-step explanation:
luke is baking brownies.he needs 1/2 cup of sugar for each batch of brownies.if he makes 6 batches of brownies,how much sugar will he need
2 po
2) At the sixth-grade school dance, there are 132 boys, 89 girls, and 14
adults. Write the ratio of the number of girls to the TOTAL number of
people at the dance. *
NO SPACES and use a colon:
Answer:
Step-by-step explanation:
Girls:Total number of people
89:235
89:47
is this relation a function? justify your answer (2,3 4,9 6,10 9,5)
Answer:
Yes
Step-by-step explanation:
Each Input has a different output making it a function
which property is demonstrated in the equation 6x(8x1)=(6x8)x1
Answer:
Commutative property of multiplication
Step-by-step explanation:
The commutative property of multiplication says that order doesn't matter in multiplication, and putting parenthesis affects the order, so that means the answer is commutative property of multiplication
plz helpp
Statement 2)
A)Addition property
B) Definition of midpoint
C) Definition of equality
D) Segment addition postulate
Reason 6)
A) Subtraction property
B) Transitive property
C) Property of equality
D) Definition of congruence
Answer:
Addition Property of Equality If AB = CD then AB + BC = BC +CD
Subtraction Property of Equality If AB + BC = BC + CD then AB = CD
Multiplication Property of Equality If m∢A = 90 then 2(m∢A) = 180
Division Property of Equaliity If 2(m∢B) = 180 then m∢B = 90
Substitution Property If m∢A + m∢B =180 and m∢B then m∢A + 90 =180
Distributive Property AB + AB = 2AB
Reflexive Property m∢B = m∢B
Symmetric Property If AB + BC = AC then AC = AB + BC
Transitive Property If AB ≅ BC and BC ≅ CD then AB ≅ CD
Segment Addition Postulate If C is between B and D, then BC + CD = BD
Angle Addition Postulate If D is a point in the interior of ∢ABC then m∢ABD + m∢DBC = m∢ABC
Linear Pair Postulate If two angles form a linear pair, then they are supplementary
Definition of Right Angle If ∢B is a right angle then m∢B = 90
Definition of Midpoint If P is the midpoint of segment AB then AP =PB
Definition of Segment Bisector If k intersects segment AB at M the Midpoint then k bisects segment AB
Definition of Perpendicular Lines If two lines are ⊥ they form right angles
Definition of Congruent Segments If AB = CD then segment AB ≅ segment CD
Definition of Congruent Angles If ∡A ≅∡ B then m∡A=m∡B
Definition of Angle Bisector If ray AB bisects ∡CAD then∡ CAB ≅ ∡ BAD
Definition of Complementary Angles If ∡ Z and ∡Y are complementary m∡Z +m∡Y =90
Definition of Supplementary Angles If ∡ S and ∡T are supplementary m∡S +m∡T = 180
Step-by-step explanation:
Randy has $15 to spend on fruit. Using only estimation, which quantities of fruit can Randy reasonably buy? Check all that apply.
Answer:
7.2 pounds of apples
10.75 pounds of pears
4.22 pounds of strawberries
Answer:
A D E A=7.2 D=10.75 E=4.22. HOPE THIS HELPS! PLS give me brainliest...
Step-by-step explanation:
Which equation represents the sentence?
Four more than one-third a number is equal to 14.
A. 1/3(n+4)=14
B. N/3 + 4= 14
C. 4n + 1/3 = 14
D. 4(n/3) = 14
Can y'all explain to me I don't get it pleaseee help
You hire 2 students to deliver takeout menus around town. One student (Darla), delivers 350 menus in 2 hours, and another student (Drew, delivers 510 in 3 hours. Who works the faster?
Darla is faster she gets more done in less time yes drew has a higher total but he worked a extra hour
