Answer:1)52
2)13
3)22
Step-by-step explanation
The answer to each part is mentioned below -
P = 72RU = 16SU = 22What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is a kite TSVU as shown in the image.
{ 1 } -
UT = ST = 20
Perimeter of ΔSUT will be -
P = ST + TU + SU
P = 20 + 16 + 16 + 20
P = 72
{ 2 } -
Perimeter of ΔSUV will be -
P = SV + SU + VU
38 + 26 + VU = 102
VU = 38
ΔSUV ≅ ΔRUV
RU = SR = 16
{ 3 } -
ΔSUV ≅ ΔRUV
SR = RU
4x - 1 = x + 8
4x - x = 8 + 1
3x = 9
x = 3
SU = SR + RU
SU = 4x - 1 + x + 8
SU = 12 - 1 + 3 + 8
SU = 22
Therefore, the answer to each part is mentioned below -
P = 72RU = 16SU = 22To solve more questions on kites, visit the link below -
brainly.com/question/1041084
#SPJ5
Solve the system of equations by elimination.
2x - y + 3z=-1
x + 2y - 4z=-1
y – 2z=0
Answer:
x = -1, y = 2 and z = 1
Step-by-step explanation:
The given system of equations are :
2x - y + 3z= -1 ....(1)
x + 2y - 4z = -1 ......(2)
y – 2z = 0 .....(3)
Equation (3) can be written as :
y = 2z
Use y = 2z in equation (2)
x + 2(2z) - 4z = -1
x + 4z - 4z = -1
x = -1
Put the value of x in equation (1) :
-2 -y +3z = -1
-y+3z = 1 ....(4)
Adding equation (3) and (4)
y-2z+(-y+3z)=1
z = 1
Now put z = 1 in equation (4)
-y+3=1
-y = -2
y = 2
Hence, the values of x,y and z are -1, 2 and 1 respectively.
Find the value of
[tex] log_{8}^{512} [/tex]
please help friends....
Answer:
3
Step-by-step explanation:
log 8 512 = 8^ x=512. x=3
Hope this helps :D
help me: [tex]\int\limits^\pi _0 sin({x}) \, dx[/tex]
Answer:
[tex]\int^{\pi}_{0}sin(x)dx = 2[/tex]
Step-by-step explanation:
To solve for the value of [tex]\int^{\pi}_{0}sin(x)dx[/tex], we need to first find the antiderivative of [tex]sin(x)[/tex].
Since the derivative of [tex]cos(x)[/tex] is [tex]-sin(x)[/tex], therefore the derivative of [tex]-cos(x)[/tex] is [tex]sin(x)[/tex]. With this:
[tex]\int^{\pi}_{0}sin(x)dx = -cos(\pi)-(-cos(0))[/tex]
[tex]=-cos(\pi)+cos(0)[/tex]
[tex]=-(-1)+1[/tex]
[tex]=2[/tex]
∴ [tex]\int^{\pi}_{0}sin(x)dx = 2[/tex]
Hope this helps :)
Identify the matrix transformation of ΔMNO, which has coordinates M(1, 3),N(5, 2), and O(3, −3), for a translation 2 units left and 4 units up. PLEASE ANSWER QUICK!!!
Answer:
The second one
Step-by-step explanation:
What is the solution of 5/2x-7=3/4x+14
Answer:
x = 12
Step-by-step explanation:
!!!I NEED THE ANSWER ASAP!!! First person to answer will get 30 points!!
You are painting your room. You mix 1/4 cup of red paint for every 1/2 cup of paint.
A.If you need to make 3 gallons of purple paint, how much red paint will you add?
B. How much blue paint would you need?
C. Make a ratio table to show the amounts of red and blue paint that can be added to make different amounts of purple paint.
Answer:
a- 2/5 + 1/4=.65 mixture of red and blue paint
(2/5) / .65 X 1.625=1 gallon of red paint
(1/4) / .65 X 1.625=5/8 gllaons of blue paint, because
1 + 5/8=1 5/8 gallons of purple paint.
b-1/10 + 2/5 + 1/4=.75 mixture of white, red and blue paint
(1/10) / .75 X 3/8= 1/20 gallons of white paint
(2/5) / .75 X 3/8=1/5 gallons of red paint
(1/4) / .75 X 3/8=1/8 gallons of blue paint, because
1/20 + 1/5 + 1/8=3/8 gallons of lighter purple paint.
Step-by-step explanation:
The length of each side of an equilateral triangle is 74 mm, correct to the nearest millimetre.
Calculate the smallest possible perimeter of the triangle.
Answer:
222mm
Step-by-step explanation:
The perimeter of a triangle is the sum of all of the sides. This triangle is equilateral, which means that all sides are equal and in this case, each side is 74mm. So to find the perimeter of this triangle add each, 74+74+74, which equals 222. Therefore, the answer must be 222mm.
Answer:
the answer is 222 mm.
hope it works
2. Write the following rational numbers in order from smallest to largest: 3 1.25, V2, 18, 1.875, 13
Estimate the volume
Answer:
Step-by-step explanation:
Well depends the shape
volume of a rectangular solid : V = length * width * height, or V = lwh.
volume of a triangular pyramid: V=13Ah
Volume of a cone: V=πr^2 h /3
etc..
ldentifying Slope and y-Intercept of a Line
y
ldentity the slopo and y-intercept of each linoar function's eqution
x+3
slope -3, y-intercept at
V1- 3x
X-3
V 3-1
slope
1: y-intercept at-3
slope 1:y-intercept at 3
slope
3. y-intercept at -1
D ntuO
Done
Answer:
i think questions no 3 is the answer of this question
Sandy plays a matching game in order to advance to the next level, she must score at least 10 points. She scores 15 points for correct matches and -6 points for incorrect matches.
A.Write an addition expression to represent the amount of points Sandy earned.
B.Did Sandy make it to the next level? Explain
Answer:
A) Points earned = 15 - 6
B) Sandy didn't make it to the next level since her score was 9 and she needed a minimum of 10
Step-by-step explanation:
To advance to the next level in her game, Sandy must score at least 10 points.
She scores 15 points for correct matches
She scores -6 points for incorrect matches.
A. The amount of points earned by Sandy in the game is the sum of both scores:
points earned = 15 - 6
points earned = 9
B. Unfortunately, Sandy didn't make it to the next level since her score was 9 and she needed a minimum of 10
SOMEONE ANWSER QUICK !
If you want to solve the system of equations below using the elimination methiod, which of the following should NOT be
your first step:
-3x + 4y = 0
2 - 2y = 8
A)Multiply every term in the bottom equation by 3.
B) Multiply every term of the bottom equation by 2.
C) Multiply every term of the bottom equation by -3.
D Multiply every term of the top equation by 2, and every term of the bottom equation by 4.
Answer:
I think that the answer would be C because you have to multiply the term at the top. This would mean you would not do C. Sorry if this is wrong. At least you have your eliminating process now. lol so doing C is out of the box, which makes C your answer.
Step-by-step explanation:
I need some help with MORE math if you could answer that would be great.
Answer:
bbbbbb
Step-by-step explanation:
:)
Answer:
D. [tex]\frac{81}{m^{7}}[/tex]
Step-by-step explanation:
[tex](3m^{-4})^{3}(3m^{5})[/tex]
[tex]\frac{81m^{5}}{m^{12}}[/tex]
[tex]\frac{81}{m^{7}}[/tex]
Will give brainliest... Please I need this answer so badly
14. The diagram in Fig. 1.34 shows a uniform metre rule
weighing 100 gf, pivoted at its centre 0. Two weights
150 gf and 250 gf hang from the points A and B
respectively of the metre rule such that OA = 40 cm
and OB = 20 cm. Calculate : (i) the total anticlockwise
moment about O, (ii) the total clockwise moment about
O, (iii) the difference of anticlockwise and clockwise
moments, and (iv) the distance from O where a 100 gf
weight should be placed to balance the metre rule.
7-20 cm
А
승
B
40 cm
)
150 gf
Fig. 1.34
250 gf
Answer:
(i) The total anticlockwise moment about O, is 6000 + 50 × OD
(ii) The total clockwise moment about O, is 5000 + 50 × OC
(iii) The difference between the anticlockwise and the clockwise moment is 1000 N·cm
(iv) The distance from O where a 100 gf force should be placed to balance the meter rule is 10 cm to the right of the point O on the meter rule
Step-by-step explanation:
The given parameters are;
The mass of the uniform meter rule = 100 gf
The center of the meter rule = O
The mass of the weight at point A = 150 gf
The mass of the weight at point B = 250 gf
The distance of the point A from the point O = OA = 40 cm
The distance of the point B from the point O = OB = 20 cm
(i) Whereby the point A is on the left of the meter rule, and taking the mass of half the meter rule as acting on the center, of the midspan from the left edge to the center, O, which is the point, D we have;
The total anticlockwise moment, Mₐ = 150 × 40 + 50 × OD = 6000 + 50 × OD
(ii) The total clockwise moment about O, is given similarly as follows;
The total clockwise moment, [tex]M_c[/tex] = 250 × 20 + 50 × OC = 5000 + 50 × OC
(iii) The difference between the anticlockwise and the clockwise moment = Mₐ - [tex]M_c[/tex] = 6000 + 50 × OD - 5000 + 50 × OC
Where, OD = OC, we have;
Mₐ - [tex]M_c[/tex] = 6000 + 50 × OD - 5000 + 50 × OD = 1,000
Mₐ - [tex]M_c[/tex] = 1000 N·cm
Therefore, Mₐ > [tex]M_c[/tex]
(iv) The distance from O where a 100 g force should be placed to balance the meter rule should give a 1000 N·cm clockwise moment as follows;
Let the 100 gf load be placed at the point E, to the right of the point O, therefore;
100 gf × OE = 1000 N·cm
OE = 1000/(100) = 10
OE = 10 cm
Therefore, the 100 gf should be placed 10 cm to the right of the point O.
A cyclist travels at a speed of 15 miles per hour for 1.5 hours.Find the distance the cyclist travels
Answer:
22.5 miles
Step-by-step explanation:
15 miles every hour, and there is 1.5 hours, so cut 15 in half, 7.5 and add that the 15
A store sells a pack of 50 widgets for $2, a pack of 120 widgets for $6, and a pack of 200 widgets for $9. Which is the best buy?
Answer:
The first 50 widgets for $2
Step-by-step explanation:
50/2=25
120/6=20
200/9=22.22 repeating
What is 22 divided by 1,299?
Answer:
0.0169361047
Step-by-step explanation:
Answer:
0.01693610469
Step-by-step explanation:
I’m helping my brother with his homework and I’m confused. Would this be split into 1/2 for each pizza or 1/4 like shown in the photo?
Answer:
1/2
Step-by-step explanation:
1/2 because if you divide 2 pizzas into 4 then you can get 4 1/2s.
if you slice the pizza into fourths then each person will get 2/4rts and which is the same thing as 1/2 only 1/2 is simplified.
Find the monthly finance charge for an average daily balance of $145.59 and annual percentage rate of 24%
a. $29.11
b. $291.18
c. $2.91
d. $34.94
Answer:
d. $34.94
Step-by-step explanation:
the monthly finance charge = (24 * 145.59) /100 = $34.94
emily is entering a bicycle race for charity. her mother pledges $0.40 for every 0.25 mile she bikes. if emily bikes 6 miles how much will her mother donate
Answer:
$9.60
Step-by-step explanation:
0.40(6/0.25)
0.40(24)
9.6
Answer:
the correct answer is $2.40
Step-by-step explanation:
0.40= every 0.25miles
for 6 miles it will be 2.40 because u multiply 6 with 0.40 and u get the answer
Does anybody know what (20x30)+10 to the second power is?
Answer:
372,100.............
Answer:
[tex]372100[/tex]
Step-by-step explanation:
A number to the [tex]x[/tex] power represents [tex]x[/tex] amount of times the number is multiplied by itself. To the second power means that the number is multiplied by itself twice.
[tex][(20\times30)+10]^2 = 610^2[/tex] (first work on terms inside parentheses)
[tex]= 372100[/tex] ([tex]610^2 = 610\times 610[/tex])
Hope this helps :)
6 Rebecca burns an average of 210 calories in 35 minutes of ballet.
Part A
How many calories does Rebecca burn per minute?
Show your work.
Rebecca burns 6 calories per minute.
Part B
Which equation models howmany calories, c, Rebecca burns in m minutes?
A
B
210c=
35/m
35m
C
DC6m
Part C
Does Rebecca burn more than 400 calories per hour? Explain.
c
6cm
Answer:
c=6m because if you divide it normally with no letters it will be she burns 6 calories per minute
EXAMPLE 6: Two trees outside the school have a height of 60 inches and 72
inches tall. How many feet are both trees?
Answer:
the first tree is 5ft and the second one is 6ft
Step-by-step explanation:
a(7x + 3) = b + 14x what are the values of a and b
Answer:
a= 2
b=6
Step-by-step explanation:
Follow me Please
Soo like could u help me someone give me the answer but they for to explain or show the reasoning so plz help
Which graph represents the function f(x) =-x|–2?
Answer:
C.
Step-by-step explanation:
How many terms are in this expression?
3n + 5
Answer:
2
Step-by-step explanation:
3n = term
5 = term
Answer:
two
Step-by-step explanation:
3n and 5 are both terms
Trey is buying a computer on sale. The original price was $1,200. If the sale price is ⅚ of the original price, how much did Trey pay for the computer?
Type the numerical answer only
Answer:
5/6 of $1,200 is $1,000
The answer is $1000
ps: dont add the ($) only numerical answer
If 16 horses eat 5 stacks of hay in 35 days, how many horses can eat 4 stacks of hay in 8 days? Math question
Answer:
The number of horses that can eat 4 stacks of hay in 8 days = 56 horses
Step-by-step explanation:
The given parameters are;
The time it takes 16 horses to eat 5 stacks = 35 days
Therefore;
The time it takes 16 horses to eat 5/5 stacks (1 stack) = 35 days/5 = 7 days
The time it takes 16 horses to eat 1 stack of hay = 7 days
The time it takes 16 horses/16 to eat 1 stack of hay = 7 days × 16 = 112 days
Therefore;
The time it takes 1 horse to eat 1 stack of hay = 112 days
The time it takes 1 horse to eat 4 × 1 stack of hay = 112 days × 4 = 448 days
The time it takes 1 horse to eat 4 stacks of hay = 448 days
Therefore, given that (448 days)/(8 days/horse) = 56 horse, we have;
The number of horses that will eat 4 stacks of hay in 8 days = 56 horses.