Calculate the perimeter of ABCD.
B
+
6 cm
950
8 cm
5 cm
C
Answer:
The perimeter is 28.13 cm
Step-by-step explanation:
We connect a line from A to C
we can use the cosine rule to find the length AC
let us call it x
AC^2 = AB^2 + BC^2 - 2(AB)(BC) cos B
we have this as;
x^2 = 6^2 + 8^2 - 2(6)(8) cos 95
x^2 = 36 + 64 + 8.37
x^2 = 108.37
x = √108.37
x = 10.4 cm
AC = 10.4 cm
now, let us look at triangle ADC Where we have AC as the hypotenuse as it is the side facing the right angle
We can use Pythagoras’ theorem to get the value of CD
We have it that the square of the hypotenuse AC is the sum of the squares of the two other sides
let DC be y
10.4^2 = 5^2 + y^2
y^2 = 108.37 - 25
y^2 = 83.37
y = √83.37
y = 9.13 cm
The perimeter of the shape is the sum of all its sides
so we have;
AB + BC + CD + AD
= 6 + 8 + 9.13 + 5
= 28.13 cm
help asap plsss!!!!!!!!!!!
Someone help worth 5 points
Answer:
43
Step-by-step explanation:
Answer:
b 43 on edge 2021.........
Is C + 11 = 20; c =9 a solution or not a solution
which way does the line is correct, line#1 or line#2
Answer:#2
Step-by-step explanation:
13.
Write and solve a system of equations for each story problem.
A class of 366 students went on a field trip. They took 12 vehicles, some vans and some buses
Find the number of vans and the number of buses they took if each van holds 6 students and each bus holds
55 students
Answer:
6 vans and 6 buses
Step-by-step explanation:
v+b=12 this equation represents the amount of vehicles
6v + 55b = 366 this equation represents the amount of students per vehicle.
after solving you get v=6 and b=6
Please Help! I'll give brainliest if right!!!!
Answer:
6
Step-by-step explanation:
Step 1: g(6) = 4 - 2 x 6
Step 2: g(6) = 4 - 12
Step 3: g(6) = -8
Step 4: g(9) = 4 - 2 x 9
Step 5: g(9) = 4 - 18
Step 6: g(9) = -14
(Final Step) Step 7: g(6) - g(9) = -8 - (-14) = 6
please help me on this thanks
someone help me with this
Answer:
the answer is 4
Step-by-step explanation:
|5-3-2|
|2--2|
|2+2|
|4|
4
19. Find the measure of angle ABC.
Answer:
72
Step-by-step explanation:
6x+6x+8x=180 (∠ sum of Δ)
20x=180
x=9
∠ABC=8(9)
=72
A student wants to prove that she can solve a system of a system of equations by replacing one of the equations with two times that equation and adding the other equation. The original system was 12x +2y =30 and 10x+y = 26. The student claims that her first step is to add the two linear equations. Select the option that refutes the student claim
Answer: y=+{%
Step-by-step explanation:
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hey
heh
look at screenshot and answer question
Answer:
24x+32
Step-by-step explanation:
=(3x+4)(8)
=(3x)(8)+(4)(8)
=24x+32
Lucas has a jar of coins that contains only nickels and dimes. He has 30 coins itſ the jar worth a
total of $2.10. Which system of equations could be used to find the number of nickels, n, and
the number of dimes, d, that Lucas has in the jar?
А
n+d = 2.10
5n+100 = 30
B
n+d = 30
5n-10d =2.10
с
n-d = 30
0.05n+0.10d = 2.10
D
n-d=2.10
0.050+ 0.100 = 30
Answer:
Step-by-step explanation:
The correct system of equations which is the number of nickels and dimes that Lucas has in the jar is:
n + d = 30
0.05n + 0.10d = 2.10
What is the equation?The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.
Lucas has a jar of coins that only contains nickels and dimes. He has 30 pennies in the jar, which is worth $2.10.
Let represents the number of nickels, n,
And the number of dimes, d, that Lucas has in the jar
The system of equations to find the number of nickels and dimes that Lucas has in the jar is:
n + d = 30
0.05n + 0.10d = 2.10
This system can be used to solve for the values of n and d. The first equation represents the total number of coins, and the second equation represents the total value of the coins in the jar.
Learn more about the equation here:
brainly.com/question/13947055
#SPJ2
divide 120 in the ratio of 1 : 4
Dividing 120 in the ratio of 1 : 4 will give 24 and 96.
The first number that'll be gotten based on the information given will be:
= 1/5 × 120
= 24
The second number that will be gotten based on the information given will be:
= 4/5 × 120
= 96
Therefore, the numbers will be 24 and 96.
Read related link on:
https://brainly.com/question/18922046
Help me please... I have a lot more things to do and I wanna get this done.
Answer:
-6
Step-by-step explanation:
count
Answer:
-6
Step-by-step explanation:
each dash on the line changed by one. So i you go down, you subtract 1, and if you go up, you add 1.
Write the equation of a line going through the points (4,2) and (7,-3).
Answer:
Equation of the straight line passing through the point ( 4,2) and (7,-3) is
5 x + 4y - 28=0
Step-by-step explanation:
Step(i):-
Given points are ( 4,2 0 and ( 7,-3)
Slope of the line
[tex]m = \frac{y_{2}-y_{1} }{x_{2} -x_{1} } = \frac{-3-2}{7-4} = \frac{-5}{4}[/tex]
Step(ii):-
Equation of the straight line passing through the point ( 4,2) and
having slope m = [tex]\frac{-5}{4}[/tex]
y - y₁ = m( x- x₁ )
[tex]y - 2 = \frac{-5}{4} ( x-4)[/tex]
4( y -2) = -5( x-4)
4 y - 8 = - 5x +20
5x +4y -8 -20=0
5 x + 4y - 28=0
Final answer:-
Equation of the straight line passing through the point ( 4,2) and (7,-3) is
5 x + 4y - 28=0
Solve for t.
-18 = 6t
A. t = -3
B. t = -1/3
C. t = 12
D. t = 24
Answer:
A) t = -3
Step-by-step explanation:
-18 = 6t
divide both sides of the equation by 6
-18/6 = 6t/6
-18/6 = t
-3 = t
PLEASE ANSWER ASAP !!!! WILL GIVE BRAINLIEST
Answer:
6z-7>8z+2? = z < -9/2
Step-by-step explanation:
6*z-7-(8*z+2)>0
-2z - 9 = -1 • (2z + 9
Multiply both sides by (-1)
Flip the inequality sign since you are multiplying by a negative number
2z+9 < 0
Divide both sides by 2
z+(9/2) < 0
Subtract 9/2 from both sides
z < -9/2
Answer: z < -9/2
Answer:
z is (less than) -9/2 is the correct answer use the symbol for less than.
Step-by-step explanation:
I put it through Photomath which is 100% right all the time with these equations.
If a triangle has angle A that is 70* and angle B that is 90* what is angle C?
Answer:
angle c = 20 °
Step-by-step explanation:
as sum of all sides of triangle is equals to 180°
Help me please i'm bad at math
Someone pls help... On November 1st there were 2500 boxes in a warehouse. On December 1st there were 15% fewer boxes in the warehouse than there were on November 1st. On January 1st there were 20% more boxes in the warehouse than there were on December 1st. How many boxes were in the warehouse on January 1st.
Answer:
Nov 1st: 2500 boxes
Dec 1st: 15% fewer boxes which is 2500 x (1- [tex]\frac{15}{100}[/tex] ) = 2125
On January 1st: 20% more boxes which is 2125 x (1+ [tex]\frac{20}{100}[/tex] ) = 2550 is the number of boxes
Step-by-step explanation:
Please help me 35 points but please do not abuse this and answer incorrectly. Will name brainliest Thank you :)
Step-by-step explanation:
You just simplifyall answers or expand them and add them up
Grey ran 2.4 times as many miles as Emory. If Emory ran 2.08 miles, how many miles did grey run?
Answer:
If Grey ran 2.4 times as many miles as Emory, then 2.08 x 2.4 = 4.992
Step-by-step explanation:
4.992
Answer:
4.992
Step-by-step explanation:
Hey there !!!
to find the answer to this problem you multiply the number of miles that grey ran to the number of miles that Emory ran:
2.4 * 2.08 = 4.992
Hope it helped !!
have a wonderful day
Which statement is true?
x = 157, because 180 - 23 = 157
x = 33, because 180 - (124 + 23) = 33
x = 56, because 180 - 124 = 56
x = 147, because 23 + 124 = 147
PLEASE ANSWER FAST!!!!
Answer:
x = 33
Step-by-step explanation:
forgive me if im wrong but I've had this question before and i got that right.
Answer:
x = 33, because 180 - 124 + 23
April, May and June have
90
sweets between them. May has three-quarters of the number of sweets that June has.
April has two-thirds of the number of sweets that May has. How many sweets does June have?
Answer:
40 sweets
Step-by-step explanation:
Let june have x sweets
may has 3x/4 sweets
April has x/2 sweets
total sweets is 90
Adding all sweets =
x/2+3x/4+x = 90
9x = 360
x = 40
Therefore June has 40 Sweets
Suppose f(x)= x? - 6r? +9x and g(x)=10x-6.
Answer:
f ( 10 x − 6 ) = 1000 x^ 3 − 1800 x ^2+ 1170 x − 306
Step-by-step explanation:
A pump moves 70 gallons of water
per minute. How long will it take the
pump to empty a 2,030-gallon tank?
Why would a pacifier represent your past
Answer:
maybe?
Step-by-step explanation:
I am not sure
pls help!! it's due in a few minutes :(
Graph {x | x -2}.
Work out − 5 × ( − 8 )