Answer:
12.9 [tex]in^{2}[/tex]
Step-by-step explanation:
So to find the area of this triangle, you will need to use the equation
Area = [tex]\frac{1}{2}[/tex]c*b*sin(A) = [tex]\frac{1}{2}[/tex]a*b*sin(C)
Here, we have ∠A, ∠C, and side c
We can use the fact that [tex]\frac{a}{sin(A)} = \frac{b}{sin(B)} = \frac{c}{sin(C)}[/tex] so solve for the other variables we do not have.
First we can find the other angle B. Since ∠A + ∠B + ∠C = 180°,
∠B = 180° - ∠A - ∠C, which is ∠B = 180° - 115° - 24° = 41°
Now that we have all three angles, we can solve for the sides
Since we only have side c, we will manipulate the equation with c and one of the others to solve for a or b. Let's solve for side b first.
Since [tex]\frac{b}{sin(B)} =\frac{c}{sin(C)}[/tex], solving for b would give us [tex]b=\frac{csin(B)}{sin(C)}[/tex]. Then plugging in our values we get [tex]\frac{4.2sin(41)}{sin(24)}[/tex]= 6.77 = b
Now we can solve for the remaining side, a, using the same method.
Since [tex]\frac{a}{sin(A)} =\frac{b}{sin(B)}[/tex], solving for a would give us [tex]a=\frac{bsin(A)}{sin(B)}[/tex]. Then plugging on our values we get [tex]\frac{6.77sin(115)}{sin(41)}[/tex]= 9.36 = a
Now that we have all our angles and sides, we can plug in our numbers to either of our area equations ⇒
Area =[tex]\frac{1}{2}[/tex]c*b*sin(A)= [tex]\frac{1}{2}[/tex](4.2)(6.77)sin(115) = 12.9[tex]in^{2}[/tex] or [tex]\frac{1}{2}[/tex]a*b*sin(C) = [tex]\frac{1}{2}[/tex](9.36)(6.77)sin(24) = 12.9[tex]in^{2}[/tex]
Add or subtract the fractions by changing them to equivalent fractions with denominator equal to the LCD of the fractions.
A: 2/5+1/5
Answer:
3/5
Step-by-step explanation:
2/5 + 1/5
The denominator is the same, so we add the numerators
3/5
Answer:
3/5
Step-by-step explanation:
We need to add the two fractions 2/5 and 1/5.
First, see if we need to find their common denominator: they both have a denominator of 5, so we're all set there!
Now, just add the numerators together:
2/5 + 1/5 = (2 + 1)/5 = 3/5
The denominator will stay 5 (don't add the 5's together).
The final answer is thus 3/5.
~ an aesthetics lover
In how many ways can five models line up to have their
photograph taken?
F. 120 G. 60 H. 25 I. 20
Answer:
120
Step-by-step explanation:
by using the basic counting rule, there are 5 positions first, then 4, then ,3 and so on down to one. so when you multiply them all together, you get 120. Also i took a test with the same qeustion, and that was the anwer :)
Answer:
120
Step-by-step explanation:
5 times 4 times 3 times 2 times 1= 120
5 choices for first
1 choice already taken so 4 for the other model
3 for the other
2 for the other
and 1 for the other
=120
Its correct, trust me!
How much is House A worth after two years? Round your answer to the nearest dollar.
How much is House B worth after two years? Round your answer to the nearest dollar.
Answer:
see below
Step-by-step explanation:
Take the original value times the appreciation and add the original value
Do this for each year
House A
year 1:
new value = 125260+ 125260* .05
=125260 +6263
=131523
year 2:
new value = 131523+131523* .05
131523+6576.15
138099.15
Nearest dollar 138099
House B
year 1:
new value = 120160+ 120160* .06
=120160 +7209.60
=127369.6
year 2:
new value = 127369.60+127369.6* .05
127369.60+7642.18
135011.78
Nearest dollar 135012
Answer:
A: $138,099
B: $135,012
Step-by-step explanation:
A: growth rate: (100+5)/100 = 1.05
125260 × 1.05² = 138,099.15
B: growth rate: (100+6)/100 = 1.06
120160 × 1.06² = 135,011.776
Pls help me out with this stupid question
Answer:
138.248cm²
Step-by-step explanation:
Surface area=2πrh + 2πr²
Surface area=2x3.142x2x9+ 2x3.142x2²
Surface area=113.112+25.136
Surface area=138.248cm²
Answer:
Answer:
138.248cm²
Step-by-step explanation:
Surface area=2πrh + 2πr²
Surface area=2x3.142x2x9+ 2x3.142x2²
Surface area=113.112+25.136
Surface area=138.248cm²
"credit goes to unknown76th"
Step-by-step explanation:
can someone please help?
Answer:
A x=4
B dont know
C x=-14
1. x=1
2. x= [tex]\frac{3}{2}[/tex]
Step-by-step explanation:
Answer: a) x=4, b)2 +- 2 square root 2 c)x =-14
Step-by-step explanation:
What is the distance between these two points.
Answer:
It's C, under root of 32
Step-by-step explanation:
under root of (x2 - x1)^2 plus (y2 - y1)^2
under root of (4-8)^2 + (-7+3)^2
under root of (-4)^2 + (-4)^2
under root of 16 + 16
under root of 32
The formula in finding the distance between two points is given below:
[tex] \boxed{\bold{\:\:d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \:\:}}[/tex]Now, you know the distance formula. So, let us try solving the given problem using the distance formula.
Problem: What is the distance between (8, -3) and (4, -7)?
From inspection on the given problem:
[tex]\sf (x_1, y_1) = (8, -3)[/tex][tex]\sf (x_2, y_2) = (4, -7)[/tex]Substitute the given values into the distance formula and solve for d:
[tex]\sf d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex][tex]\sf d = \sqrt{(4 - 8)^2 + [-7 - (-3)]^2}[/tex][tex]\sf d = \sqrt{(4)^2 + (-4)^2}[/tex][tex]\sf d = \sqrt{16 + 16}[/tex][tex]\bold{d = \sqrt{32} \approx 5.66 \: units}[/tex]Therefore, the distance between two points is [tex]\sqrt{32}[/tex] or 5.66 units.
[tex]\\[/tex]
Now, wasn't that easy? Try this sample problem:
Find the distance between P(1, 3) and Q(7, 11).From the sample problem above, you may solve it on your own to enhance your skill on calculating the distance.
For more information about the Distance Formula, just visit this link: https://brainly.com/question/18156437
A card is picked at random from the following set. What is P(9) ? Write your answer as a percentage in the box given below.
Answer:
25%
Step-by-step explanation:
The (not mentioned in the question) set is: 6 7 8 9.
There are 4 total outcomes and only 1 favorable outcome, then the probability to pick a 9 is:
P(9) = favorable outcome/total outcomes
P(9) = 1/4 = 0.25 or 0.25*100 = 25%
if anyone know probability stuff pls help w this!!
Answer:
A - 9/34
B - 7/34
Step-by-step explanation:
A girl grabs a lollipop - 9/34 (Event A)
A boy grabs a fruit chew - 7/34 (Event B)
Because there are 34 possibilities in total....
Thanks!
Which statements are true? Select three options. ∠F corresponds to ∠F'. Segment EE' is parallel to segment FF'. The distance from point D' to the origin is the distance of point D to the origin. The measure of ∠E' is the measure of ∠E. △DEF △
Answer:
Triangle DEF was dilated according to the rule DO,One-third(x,y)(one-third x, one-third y) to create similar triangle D'E'F'.
On a coordinate plane, (0, 0) is the center of dilation. Triangle F D E is dilated to create smaller triangle F prime D prime E prime. Triangle F D E has points (negative 9, 3), (negative 9, 9), (negative 6, 6). Triangle F prime D prime E prime has points (negative 3, 1), (negative 3, 3), and (negative 2, 2).
Which statements are true? Select three options.
right answer ∠F corresponds to ∠F'.
wrong answer Segment EE' is parallel to segment FF'.
right answer The distance from point D' to the origin is One-third the distance of point D to the origin.
wrong answer The measure of ∠E' is One-third the measure of ∠E.
right answer△DEF △D'E'F'
Step-by-step explanation:
Answer:
A, C, E
Step-by-step explanation:
EDU
Solve for the value of p.
2 x p = 34
Answer:
p = 34/2
p= 17
thank you.
Handy Dandy Grocery is having a sale this week. If you buy a 5−pound bag of apples for the regular price, you can get another bag for $1.59. If you buy a 5−pound bag of oranges for the regular price, you can get another bag for $2.59. Handy Dandy Grocery Regular price 5−pound bag of apples 2.99 5−pound bag of oranges 3.99 Part 1 out of 2 Enter an addition equation to find the discount for apples. Use a for apples. Which fruit has a greater discount?
Answer:
apples have greater discount
Step-by-step explanation:
This is a proportional relation given by;
For apples, it's;
1.59/2.99 = x/100
Where x is the amount the second bag of apples cost in relation to the first, so:
x = 1.59 * 100/2.99
x = 53.18
So,let's now find the discount of the second bag of apples from;
Discount = 100 - 49.83 = 50.17% discount
Similarly, for oranges;
2.59/3.99 = x/100
x = 2.59 * 100/3.99
x = 64.91
So,let's now find the discount of the second bag of oranges from;
Discount = 100 - 64.91 = 35.09%
Since apples have discount of 50.17% and oranges have discount of 35.09%, thus apples have greater discount
Determinado automovel, apos sua compra, perde 10% do valor ano a ano nos 3 preimeiros anos. Calcule o valor do automovel ao final desse periodo sabendo que ele foi comprado por R$80.000
Answer:
The value of the car after 3 years is R$58.320.
O valor do carro ao final desse período é R$58.320.
Step-by-step explanation:
The value of the car after t years is given by the following equation:
[tex]V(t) = V(0)(1-r)^{t}[/tex]
In which V(0) is the initial value and r is the yearly depreciation rate.
In this question, we have that:
[tex]V(0) = 80000, r = 0.1[/tex]
So
[tex]V(t) = V(0)(1-r)^{t}[/tex]
[tex]V(t) = 80000(1-0.1)^{t}[/tex]
[tex]V(t) = 80000(0.9)^{t}[/tex]
Value of the car at the end of 3 years:
[tex]V(3) = 80000(0.9)^{3} = 58320[/tex]
The value of the car after 3 years is R$58.320.
O valor do carro ao final desse período é R$58.320.
What is the value of x?
Answer:
19
Step-by-step explanation:
Subtract 10 from both sides, making the equation 2x=38. X means what your multipying the number by which means it is 38/2 which is 19.
Answer:
x=16
Step-by-step explanation:
The two angles are complementary, which means they must add to 90 degrees.
∠T+∠V=90
We know that ∠T is 2x+10, and ∠V is 48. Therefore, we can substitute thesae values in.
2x+10+48=90
Combine like terms by adding 10 and 48
2x+58=90
Now, we have to solve for x. To do this, we must get x by itself.
Firs,t subtract 58 from both sides
2x+58-58=90-58
2x=32
Divide both sides by 2
2x/2=32/2
x=16
PLEASE HELP I NEED THIS image below
Answer:
64
Step-by-step explanation:
You need to do 4*4*4 to get your answer.
Hope this helps.
Answer:
64
Step-by-step explanation:
Because 4×4 is 16 and 16 ×4 is 64
A spinner has 5 equal sections numbered 1 to 5. What is the probability of the spinner stopping on a number that is a multiple of 2 or is less than 3?
HELPPPP!!!
Answer:
0.6
Step-by-step explanation:
Given that the spinner has 5 equal sections numbered 1 to 5.
Total Sample Space, n(S)=5Multiples of 2 in 1 to 5 are: {2,4}
Number less than than 3 are:{1,2}
Since we are required to find the probability of the spinner stopping on a number that is a multiple of 2 or is less than 3, we take the union of both sets.
{2,4} [tex]\cup[/tex] {1,2} ={1,2,4}
Number of Outcomes=3
Therefore,
Probability of the spinner stopping on a number that is a multiple of 2 or is less than 3 [tex]=\dfrac{3}{5}=0.6[/tex]
The permiter of a square with 12 inches and 2 semicircles are ...
The area of a square that is 12 inches and 2 semicircles are...
Answer:
12,14 .........................
The student government-collected data on club membership by grade level. Data on club membership are summarized in the table shown below.
Grade Level Club Membership No Club Membership Total
9 125 250 375
10 165 155 320
11 201 101 302
12 206 69 275
Total 697 575 1272
a.no, bc P(Club Membership) not equal to P(12)
b. no, bc P(Club Membership/Grade 12) not equal to P( Club Membership)
c.yes because P(Grade 12)= P(Club Membership)
d.yes because P(Grade 12/PClub Membership) = P(Grade 12)
Answer:
d.yes because P(Grade 12/PClub Membership) = P(Grade 12)
Step-by-step explanation:
Find the area of the parallelogram
Answer:
17.94
Step-by-step explanation:
Area of a parallelogram is base times height.
Base: 3.9 in
Height: 4.6 in
3.9x4.6=17.94
Someone please help me. ASAP
Answer:
x=2
Step-by-step explanation:
4x+6=x+12
-x -x
3x+6=12
-6 -6
3x=6
/3 /3
x=2
Answer:
x=2
Step-by-step explanation:
4x+6 = x+12
Subtract x from each side
4x-x +6 =x-x+12
3x +6 = 12
Subtract 6 from each side
3x+6-6=12-6
3x = 6
Divide each side by 3
3x/3 =6/3
x =2
HELPP MEE FASTT I HAVE LESS THAN 10 MIN
Farrah borrowed $155 from her brother. She has already paid back $15. She plans to pay back $35 each month until the debt is paid off.
Which describes the number of months it will take to pay off the debt? Select three options.
x + 15 + 35 = 155
35 x + 15 = 155
35 x = 155 minus 15
It will take 8 months to pay off the debt.
It will take 4 months to pay off the debt.
Answer:
35x + 15 = 155
35x = 155 minus 15
it will take 4 months to pay off the debt.
Hope this helps. Mark brainliest please!
Answer:
35x + 15 = 155
35x = 155 - 15
It will take 4 months to pay off debt
Step-by-step explanation:
Its mental so idk but trust me <3
Anja collected data about the number of dogs 9th-grade students own. She created this histogram to represent the data and determined that it is skewed right. Which statement is true about Anja’s claim? She is incorrect; the histogram is skewed to the left because more data is on the left side. She is incorrect; the histogram is skewed to the left because there is more data on the right side. She is incorrect; the histogram is symmetrical because the right side is equal to the left side. She is correct; the histogram is skewed to the right because there is less data on the right side.
Answer:
D. She is correct; the histogram is skewed to the right because there is less data on the right side.
Step-by-step explanation:
I just did it on edge
Option D is correct. She is correct; the histogram is skewed to the right because there is fewer data on the right side.
How can you spot a skewed graph?
A skewed distribution is one in which one of the two sides is biased (either left or right). It's like a mountain tilting to one side (left or right).
Like the picture, a left skewed graph has an extended tail on the left side of the main peak. A right skewed graph features an extended tail on the right side of the main peak.
She is correct; the histogram is skewed to the right because there is fewer data on the right side.
Hence, option D is correct.
To learn more about skewed distribution, refer:
https://brainly.com/question/13111221
#SPJ2
Given a triangle with b = 7, C = 3, and A = 37° what is the length of a? Round to the nearest tenth.
a. 4.9
b.5.9
c.5.5 d. 4.3
Answer: 4.9
Step-by-step explanation:
xion orders 5 loves of bread from the website bakery the total shipping weight is 9 pounds as model of the bread what is in pounds each of the lovaes
Find the area of the kite
Answer:
32m2
Step-by-step explanation:
find one triangle.
A=1/2×base×height
1/2×8×3= 12m2
1/2×8×5= 20m,2
12+20=32m2
Help!!! Please????????
Answer:
idk
Step-by-step explanation:
i dont know
The number of gold medals won by ten countries during the 1996 Olympics are given below. Use the data to make a stem and leaf plot. (9,16,9,15,20,13,7,26,9,44)
Answer:
0| 7, 9,9,9
1| 3,5,6
2| 0,6
3|
4| 4
Notation: For this case the first number represent the first digit and the second represent the second digit.
Step-by-step explanation:
For this case we have the following dataset given:
9,16,9,15,20,13,7,26,9,44
The first step is order the data on increasing way and we got:
7,9,9,9, 13,15, 16,20,26,44
And we can create the stem plot like this:
0| 7, 9,9,9
1| 3,5,6
2| 0,6
3|
4| 4
Notation: For this case the first number represent the first digit and the second represent the second digit
Find The Solution(s) to (x+3)square=49. check all the apply
Answer:
-10, 4
Step-by-step explanation:
(x+3)^2=49
Take the square root of each side
sqrt((x+3)^2)=±sqrt(49)
x+3 = ±7
Subtract 3 from each side
x+3-3 = ±7 -3
x = ±7 -3
x = 7-3 =4
and
x = -7-3 = -10
.
what’s a negative about plus a positive
Answer:
Step-by-step explanation:
when adding a negative plus a positive, count forward the amount you're adding from the negative number. Like -5+2, -5--> -4--> -3
£ represents 29 students in class
B represents students who have a brother
S represents students who have a sister
a) One student from the class is chosen at random. What is the probability that the student has a sister?
b)One of the students who has a brother is chosen at random. What is the probability that this student has a sister?
Answer:
a) One student from the class is chosen at random. What is the probability that the student has a sister?
S/£
b)One of the students who has a brother is chosen at random. What is the probability that this student has a sister?
BS/£²
Step-by-step explanation:
In the question, we are given the following values:
£ represents 29 students in class = Total number of students in the class.
B represents students who have a brother
S represents students who have a sister
The formula for probability = Number of events ÷ Number of possible outcomes.
a) One student from the class is chosen at random. What is the probability that the student has a sister?
Number of events = Number of students that have a sister = S
Number of possible outcomes = £ represents 29 students in class
The probability that the student has a sister = S/£
b)One of the students who has a brother is chosen at random. What is the probability that this student has a sister?
This is calculated as
The Probability of Students that have a brother and a sister = Probability of students that have a brother × Probability of student that have a sister.
Number of students that have a brother = B
Number of students that have a sister = S
The Probability of Students that have a brother and a sister = B/£ × S/£
= BS/£²
Answer:
a) 14/29
b) 4/11
Step-by-step explanation:
You forgot to add the Venn diagram
7+4+2x+X+3 =29
14 +3x= 29
3x = 15
X = 5
2*5=10
10+4=14
5+3=8
14/29
I hope this helps you :D
Have a good day
pls help me figure this out thanks
Answer:
7√3
Step-by-step explanation:
tan 60 = v/7
√3 = v/7
v=7√3
Answer:
[tex]4 \sqrt{5 \\ } [/tex]
