Answer:
p = 32.317
A = 47.911
Step-by-step explanation:
given ∠A = 60
∠C = 45
AB = 9
From sum of all angles in triangle is 180
∠A + ∠B + ∠C = 180
60 + ∠B + 45 = 180
∠B = 180 - 105 = 75
∠B = 75
from sine rule in ΔABC
AB / sin C = BC / sin A
=> 9 / sin 45 = BC / sin 60
=> 9 / 1/[tex]\sqrt{2}[/tex] = BC / [tex]\sqrt{3} / 2[/tex]
=> [tex]9\sqrt{2} = BC * 2 / \sqrt{3}[/tex]
BC = [tex]9\sqrt{2} * \sqrt{3} / 2\\[/tex]
BC = 11.023
length of AC is
AC / sin B = AB / sin C
AC / sin 75 = 9 / sin 45
AC = 9 / 1/[tex]\sqrt{2} * sin 75[/tex]
= [tex]9\sqrt{2} * sin 75\\12.294[/tex]
perimeter of ΔABC
AB + BC + CA
= 9 + 11.023 + 12.294
= 32.317
Area of ΔABC is
= 1/2 * AB * AC * sin A
= 1/2 * 9 * 12.294 * sin 60
= 1/2 * 9 * 12.294 * √3/2
= 47.911
Increase 80 by 12.5%
Answer:
90
Step-by-step explanation:
Answer:
[tex]80 \times \frac{12.5}{100} \\ = 10 [/tex]
then 80+10 =90
Percy has a coin collection. He has five pennies for every 33 dimes. If Percy has 1515 pennies what is the total number of coins in his collection?
Answer:
1515
Step-by-step explanation:
The cost of Matt and Natalie's dinner was $27.35. They want to leave a 20% tip. Which of the following is the closest to the amount of the tip they want to leave?
A. $4.00
B. $4.50
C. $5.00
D. $5.50
Answer:
Option D is correct.
Step-by-step explanation:
27.35 x 20/100
=> 2.735 x 2/1
=> $5.47
=> $5.50 (Rounded)
Therefore, Option D is correct.
Hoped this helped.
: Mr. Burkett drove his car at an average speed of 70 miles per hour for 3.5 hours and then traveled at an
average speed of 65 miles per hour for 2.5 hours. What was the total distance in miles that he traveled during this time?
Answer:
Mr Burkett travelled 407.5 miles during his full trip.
Step-by-step explanation:
First, we must determine the distance he travelled in the first 3.5 hours. Luckily, we know his speed during that time so we can just multiply 70 miles per hour by 3.5 hours. That is 245 miles.
In the second step, we must determine the distance he travelled during the second part of his trip where he slowed down a bit. 65 miles per hour times 2.5 hours is 162.5 miles.
Finally, we can just add them! 245 + 162.5 = 407.5.
I really need help with this one it's due today!!
Answer:
-2/3
3/2
Step-by-step explanation:
So to have a line parallel the equation is: m1 = m2, meaning the slope (represented by m in this equation) is equal. So in the equation. 3y = - 2x + 4 you need to simplify the equation by dividing both sides by 3. Which would be like so: y = - 2/3x + 4/3, which the slope will be -2/3.
To be perpindicular you need the slope to be: m1 * m2 = - 1. So because we already know that the slope is -2/3, all we need to do is set up an equation: -2/3 * y = - 1
-2/3y = - 1
multiply both sides by 3/-2
y = 3/2
pleaseeeeeee helpppppppp meeeee
Someone pls pls pls help ASAP
I’ll give brainliest I promise just pls help me
Answer:
Answer attached below.
simplify √5(8+3√6)
I cant figure this problem out can someone help me?
A rectangle measures 2 2/5 inches by 4 1/8 inches. What is its area
Answer:
A = 9 9/10 sq inches
Step-by-step explanation:
A = lw
A = 12/5 x 33/8
A = 396/40
A = 9 9/10 sq inches
What is the measure of ZPRQ?
P
O
A. 172°
1020
B. 70°
70"
s
C. 86°
D. 1020
Answer: should be 86°, not sure.
Step-by-step explanation:
Carlisle purchased one-fourth of a pound of candy at the mall. What decimal did he see on the scale?
0.25
0.40
0.20
0.14
PLEASE HELP The mean life expectancy of a certain type of light bulb is 860 hours with a standard deviation of 22 hours.
What is the approximate standard deviation of the sampling distribution of the mean for all samples with n = 65?
0.34 h
0.75 h
2.73 h
2.95 h
Answer: The correct answer is: 2.73 h.
Step-by-step explanation:
I hope this helps! :)
What is the slope of this line?
Enter your answer as a whole number or a fraction in simplest form in the box.
Answer:
1/4
Step-by-step explanation:
use 2 points from the graph (-4,5) and (0,6) and put them in the distance equation.
(y2-y1)
----------
(x2-x1)
6-5
-------
0-(-4)
1/4
Hello please help with this question.
Answer:
77.32°Step-by-step explanation:
Use sine to find the measure of ∠A:
sine = opposite / hypotenusesin A = 80/82m∠A = arcsin (80/82) = 77.32°dont mind this i just need the achivement
Answer:
K cool
Step-by-step explanation:
Answer:
Step-by-step explanation:
How to find the distance between two points.
Answer:
you take your small number and multiply it by the big number
Step-by-step explanation:
How to find area of a triangle.
i just want to make question of this simplify plz solve question fast
Answer:
I believe 100
Step-by-step explanation:
He had 18 then got 32 from his mom leaving him with 50 and tripled it so 150 and he gave 25 to both his sister so 25+25=50 so 150-50=100
please give brainliest
HELPPPP ME PWEASEEEEE
2y - 3 = 4y + 6
Subtract 6 from both sides
2y -9 = 4y
Subtract 2y from both sides
-9 = 2y
Divide both sides by 2
Y = -9/2 or -4.5 as a decimal
40% of students surveyed said
that they are night owls. If 300
students said they are night
owls, how many students were
surveyed?
Answer:
750 students.
Step-by-step explanation:
Pls help, I need (c) of the problem 3-106
Answer:
Negative x minus two
Step-by-step explanation:
3 - (x + 5)
Distribute the negative sign:
3 - x - 5
Simplify:
-x - 2
In words:
Negative x minus two
PLS HELP WILL MARK BRAINLIEST, PLS HURRY
help please
denominator only
Answer:
2+3=5 3-5=2
Step-by-step explanation:
that's the answer
HELPPP PLEASEEEE………..
Answer:
the answer is 54°......
I GIVE BRANLIEST. Question is on the bottom
Answer:
432
24*36
---------- = 432
2
Please show your graph if you’re in K12, no confusing graphs please. graph the line for y + 1= - 3/5 (x-4)
Answer:
Graph Below:
Find the values of x and y.
Solve the given equation
x – 1 + 5x = 23
Step-by-step explanation:
x - 1 + 5x = 23
6x - 1 = 23
6x = 23 + 1 = 24
6x = 24
x = 24/6
x = 4 ans.
HOPE THIS ANSWER HELPS YOU DEAR! TAKE CARE.
Suppose y varies jointly as x and z. What is y when x = 2 and z = 3, if y = 20 when x = 4 and z = 3?
Answer:
y = 10
Step-by-step explanation:
Given y varies jointly as x and z then the equation relating them is
y = kxz ← k is the constant of variation
To find k use the condition y = 20 when x = 4 and z = 3 , then
20 = k × 4 × 3 = 12k ( divide both sides by 12 )
[tex]\frac{20}{12}[/tex] = k , that is
k = [tex]\frac{5}{3}[/tex]
y = [tex]\frac{5}{3}[/tex] xz ← equation of variation
When x = 2 and z = 3 , then
y = [tex]\frac{5}{3}[/tex] × 2 × 3 = 5 × 2 = 10
help me with math!!!!
Answer:
5+4 < 10+2
Step-by-step explanation:
5+4=9
10+2=12