Answer:
5 m 40 cmStep-by-step explanation:
a = 1 m 60 cm = 1.6 m
b = 1 m 80 cm = 1.8 m
c = 2 m
perimeter = a + b + c = 1.6 + 1.8 + 2 = 5.4 m = 5 m 40 cm
★ AnsWer :
➨ 540 cm
★ Step by step Explaination :
Let triangle be ABC,
1m = 100 cm
[tex]\begin{lgathered}\bullet\:\:\textsf{AB = 1m 60cm = \textbf{160 cm}}\\\bullet\:\:\textsf{BC = 1m 80cm = \textbf{180 cm}}\\\bullet\:\:\textsf{CA = 2m = \textbf{200 cm}}\end{lgathered}[/tex]
[tex]\setlength{\unitlength}{1.5cm}\begin{picture}(6,8)\linethickness{0.5mm}\qbezier(1,.5)(2,1)(4,2)\qbezier(4,2)(2,3)(2,3)\qbezier(2,3)(2,3)(1,0.5)\put(.7, .3){$C$}\put(4.05, 1.9){$B$}\put(1.7, 2.95){$A$}\put(3.2, 2.5){\sf{160 cm}}\put(0.7,1.7){\sf{200 cm}}\put(2.7, 1.05){\sf{180 cm}}\end{picture}[/tex]
[tex]\rule{130}1[/tex]
[tex]\underline{ \large \purple{ \mathscr{\dag\:A \bf{ccording} \: to \: \mathscr {Q} \bf{uestion} ....}}}[/tex]
[tex]\begin{lgathered}\dashrightarrow\tt\:\: Perimeter_{{\tiny\triangle ABC}}=Sum\:of\:all\:sides\\\\\\\dashrightarrow\tt\:\: Perimeter_{{\tiny\triangle ABC}} = AB + BC + CA\\\\\\\dashrightarrow\tt\:\: Perimeter_{{\tiny\triangle ABC}} = 160 + 180 + 200\\\\\\\dashrightarrow\:\:\underline{\boxed{\tt Perimeter_{{\tiny\triangle ABC}} = 540 \:cm}}\end{lgathered}[/tex]
[tex]\therefore\:\underline{\textsf{Perimeter of triangle ABC is \textbf{540 cm}}}.[/tex]
Determine the quadrant(s) in which (x, y) could be located. (Select all that apply.)
x > 0 and y < 0
Quadrant I
Quadrant II
Quadrant III
Quadrant IV
none of these
Answer:
D. Quadrant IV
Step-by-step explanation:
Directed numbers are numbers with either a positive sign or a negative sign. These numbers can be located easily on the number line. Examples are: 2, 5, -1, -3, -7, 9 etc.
Given that: x > 0 and y < 0
For example, let us consider specific directed number for x and y. Let x = 5 and y = -2, so that; (5, -2). This point can be located in the fourth quadrant of a Cartesian plane.
Therefore considering a Cartesian plane, the quadrant in which (x, y) could be located is: Quadrant IV.
Variable y varies directly with variable x. If x = 12, then y = 3. What is the value of y
when x = 8?
Answer:
y = 2Step-by-step explanation:
To find the value of y when x = 8 we must first find the relationship between the two variables.
The statement
y varies directly with variable x is written as
y = kx
where k is the constant of proportionality
when
x = 12
y = 3
Substitute the values into the above formula and solve for k
That's
3 = 12k
Divide both sides by 12
[tex]k = \frac{1}{4} [/tex]
So the formula for the variation is
[tex]y = \frac{1}{4} x[/tex]
when
x = 8
[tex]y = \frac{1}{4} \times 8[/tex]
we have the final answer as
y = 2Hope this helps you
Three times the sum of half a number and 7 is 36
Answer:
your answer is 19.34
Step-by-step explanation:
let the number be x
half a number = ½ x
three times means multiplied by three
so,
3( ½ x) + 7 = 36
3( ½ x) = 36 - 7
3( ½ x) = 29
½ x = 29/3
½ x = 9.67...
x = 9.67 × 2 (when we moved ½ on the other side of the equal sign it › turns into 2/1 )
x = 19.34
solve each system by elimination 7x-4y=-6
-5x+4y=-2
Answer:
(-4, -5.5).
Step-by-step explanation:
7x - 4y = -6
-5x + 4y = -2 Adding these 2 equations:
2x = -8
x = -4
Substituting for x:
7(-4) - 4y = -6
-4y = - 6 + 28 = 22
y = -5.5.
Dr.Hong prescribed 0.019 liter more medicine then Dr.Tannenbaum. Dr.Evans prescribed 0.02 Less then Dr.Hong. Who prescribe the most medicine? Who Prescribed the lest?
Answer:
Dr. Hong prescribed the most medicine
Dr. Evans prescribed the less medicine
Step-by-step explanation:
Dr. Hong =0.019 liters more than Dr.Tannenbaum
Dr.Evans prescribed 0.02 Less than Dr.Hong.
Let
Dr.Tannenbaum=x liters
Dr. Hong =0.019 + x liters
Dr. Evans= 0.019 + x - 0.02 liters
= x - 0.001 liters
Therefore,
Dr. Hong prescribed the most medicine
Dr. Evans prescribed the less medicine
Paj is filling a 9-cubic-inch flower pot with soil from small bags. Each bag of soil contains 2 2/3 cubic inches of soil. Exactly how many bags of soil are needed for Paj to fill the flower pot?
Answer:
Exactly 3 3/8 bags of soil are needed for Pan to fill the flower pot
Step-by-step explanation:
Here in this question, we are concerned with calculating the number of bag of soils with a given volume each needed to fill a flower pot with soil.
What we simply need to do here is to divide the volume of the flower pot with the volume of the individual bag of soils;
Mathematically, that would be;
9 divided by 2 2/3
= 9 divided by 8/3
= 9 * 3/8 = 27/8 = 3 3/8 bag of soils
S is in between T and U. ST = x + 4 and SU = 2x. TU = 16. Find the value of x.
can someone help me
Step-by-step explanation:
k(-5)= 6.(-5)+100
=30 + 100
=70
Answer:
70
Step-by-step explanation:
We can substitue -5 in for x:
k(-5) = 6(-5) + 100 = 70.
The winning car in a race beat the second car by 19 ··· 100 of a second. The third car was ·4· 10 of a second behind the second car. By how much did the first car beat the third car?
Add the times together:
19/100 + 4/10
Find the common denominator, which is 100 so rewrite 4/10 as 40/100
Now add:
19/100 + 40/100 = 59/100
The first car beat the third car by 59/100 seconds.
Can someone please help me ASAP .
Answer: Hi!
A number that is bigger than 5 2/3 but smaller than 6 could be 5.7.
A number that is bigger than 5.6 but smaller than 5 2/3 could be 5.62.
Hope this helps!
In fact 5 2/3 means 5+2/3 for this. So,5+2/3 = 17/3 = 5.6
For first question, if "numbers" are also include rational numbers, you can write any rational number according to this interval. For example, 5.7 , 5.75, 5.9
But the second one, the interval that is shown us has the same value 5.6 and 5.6. So you cannot find a number which should bigger 5.6 and smaller 5.6 . It seems impossible I mean.
What is the correct postulate,theorem,property
Given: Angle MRS is equal to angle MRO
confused dont rly kniw srry i just asked for help
Given: DC =6x, and DA =4x+18 EB =4y-12, and ED =y+17 Y Find y. Then find ED, DB and EB.
Given:
(1) DC = 6x, and DA = 4x + 18, find the value of x. Then find AD, DC, and AC
(2) EB = 4y - 12, and ED = y + 17. Find y. Then find ED, DB and EB.
Answer:
x = 9, AD = 54, DC = 54, AC = 108
y = 23, ED = 40, DB = 40, EB = 80
Step-by-step explanation:The diagram for this question has been attached to this response.
(1) From the diagram, it can be observed that;
(a) DC and DA have equal lengths. i.e
=> DC = DA ---------------------(i)
(b) AC = DA + DC --------------------(ii)
But;
DC = 6x
DA = 4x + 18
Substitute the values of DC and DA into equation (i) as follows;
6x = 4x + 18 [Solve for x]
6x - 4x = 18
2x = 18
x = 9
Since x = 9, then
DC = 6x = 6(9) = 54
DA = 4x + 18 = 4(9) + 18 = 54
Therefore
DC = 54
AD = DA = 54
AC = 54 + 54 = 108 [using equation (ii)]
(2) Also, from the diagram, it can be observed that;
(a) ED and DB have equal lengths. i.e
=> ED = DB ---------------------(iii)
(b) EB = ED + DB --------------------(iv)
=>EB = ED + ED [since ED = DB]
=>EB = 2ED ------------------(v)
But;
EB = 4y - 12
ED = y + 17
Substitute the values of EB and ED into equation (v) as follows;
4y - 12 = 2(y + 17) [Solve for y]
4y - 12 = 2y + 34
4y - 2y = 34 + 12
2y = 46
y = 46 / 2
y = 23
Since y = 23, then
EB = 4y - 12 = 4(23) - 12 = 80
ED = y + 17 = 23 + 17 = 40
Therefore
EB = 80
ED = DB = 40
Answer:
x = 9, AD = 54, DC = 54, AC = 108
y = 23, ED = 40, DB = 40, EB = 80
Step-by-step explanation:
is 19/9 a rational or irrational number
Answer:
Rational.
Step-by-step explanation:
This is because
[tex]19 \div 9 = 2.1111111...[/tex]
Where the product is a recurring decimal and recurring /repeating decimals are rational.
Hope this helps... :-)
A party of 20 people are getting into taxis. Each taxi holds the same number of passengers. If all the taxis fill up, how many people could be in each taxi? Give two possible answers.
Answer:
3
Step-by-step explanation:
Determine the volume of the shape below?
30
50
40
Answer:
30*50*40
= 60000
Step-by-step explanation:
yes
Please solve this question. cant understand
Answer:
x=150°
Step-by-step explanation:
A=180-60=120
B=180-60=120
C=45
D=360-120=240
E=45
The sum of the interiors of a polygon is (n-2)*180. Since this is a hexagon, (6-2)*180=4*180=720. SO..
B=720-120-120-45-240-45=150
Assuming the questions is asking to solve for x, the angle is 150°
please help me on this geometry
Answer:
x = 30
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180° , thus
x + 4x + 30 = 180
5x + 30 = 180 ( subtract 30 from both sides )
5x = 150 ( divide both sides by 5 )
x = 30
Item 15 Question 1 Write and solve an equation to answer the question. The perimeter of the Norwegian flag is 190 inches. What are the dimensions of the flag? Equation: =190 y= Question 2 Label the dimensions of the flag in inches.
Answer:
40 inches by 55 inches.Step-by-step explanation:
The question lacks the required diagram. Find the diagram in the attachment.
The flag is rectangular in nature and the formula for calculating the perimeter of a rectangle is P = 2(L+W) where;
L is the length of the flag
W is the width of the flag
From the diagram, L = y and W = 11y/8
Since the perimeter = 190 inches, we will substitute the given parameters into the formula and firs calculate the value of y.
190 = 2(y+11y/8)
190 = 2y + 11y/4
multiply through by 4
760 = 8y+11y
760 = 19y
y = 760/19
y = 40
The length of the flag is 40 inches and the Width of the flag is 11(40)/8 = 55inches.
Hence, the dimensions of the flag in inches is 40 inches by 55 inches.
what is mean by vertically opposite angle
Answer:
Vertically Opposite Angles are the angles opposite each other when two lines cross "Vertical" in this case means they share the same Vertex (corner point), not the usual meaning of up-down.
Step-by-step explanation:
The modulus of (3 - 4i)^4 is _____.
5
20
81
625
Answer:
625
Step-by-step explanation:
The modulus of 3 - 4i is
[tex]\sqrt{3^2+(-4)^2}[/tex] = [tex]\sqrt{9+16}[/tex] = [tex]\sqrt{25}[/tex] = 5, thus
| [tex](3-4i)^{4}[/tex] |
= [tex]5^{4}[/tex]
= 625
Find the missing value to the nearest hundredth.
Answer:
Option (A)
Step-by-step explanation:
Let the Sine of the given angle θ is,
Sinθ = [tex]\frac{x}{y}[/tex]
Then θ = [tex]\text{Sin}^{-1}(\frac{x}{y} )[/tex]
From the given values in the question,
Sinθ = [tex]\frac{7}{29}[/tex]
θ = [tex]\text{Sin}^{-1}(\frac{7}{29} )[/tex]
θ = 13.97°
Therefore, measure of the angle 'θ' will be 13.97°.
Option (A) will be the answer.
HELP PLEASE...Find the volume of this triangular prism. Enter only the numerical part of your answer in square units.
Answer:
240 m³
Step-by-step explanation:
Triangular base = 1/2bh=
1/2(5)(12)=30
30x8=240m³
(Volume is in cubic units, not square units, so I’m not sure why the question says that.)
Please
9a × 3 + 8a + 4 -11a
Please help
I'm confused
35a_11a+4
24a+4
hope it helps
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Hi my lil bunny!
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
Let's simplify step-by-step.
[tex]9a * (3) + 8a + 4 -11a[/tex]
[tex]= 27a + 8a + 4 + -11a[/tex]
Combine Like Terms:
[tex]= 27a + 8a + 4 + -11a \\= ( 27a + 8a + -11a ) + (4) \\= 24a + 4[/tex]
Answer : [tex]\boxed {24a + 4}[/tex]
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Have a great day/night!
❀*May*❀
Plzzz solve question 8 and 9. I will mark as BRAINLIEST FOR correct answers.
Answer:
a) >
b) =
c) =
d ) >
this number 8
9 .A B B C C C D E E F F F G H H I I I J KK L L L M NN OOO P QQ RRR S TT UUU V WW XXX Y ZZZ
THE 45TH LETTER IS W
what is the slope for y=3x+6
The formula for slope is y=mx+b.
In this problem m=3; meaning the slope is 3.
Answer:
m = 3
Step-by-step explanation:
y = 3x + 6
Slope formula
y = mx + b
m = 3
Solve the equation below for x. −12(3x−4)=11 A. −1323 B. −813 C. −6 D. 6
-1/2( 3x -4) = 11
Use distributive properties:
-3/2 + 2,= 11
Subtract 2 from both sides:
-3/2x = 9
Divide both sides by -3/2
X = 9/ -3/2
X = -6
The answer is c. -6
Suppose you have a pocketful of change. You have some pennies (p) and some quarters (q). One expression could be used to describe the total number of coins in your pocket: p + q. A second expression could be used to describe the amount of money (in dollars) in your pocket: 0.01p + 0.25q. Notice that each expression describes a different characteristic of the change in your pocket. Evaluate each expression for the situation where you have 6 quarters and 7 pennies in your pocket. Type the correct answer in each box. Use numerals instead of words. For the amount of money, do not enter a dollar symbol.
Answer:
13
1.57
Step-by-step explanation:
So we have two equations regarding the number of quarters q and the number of pennies p:
[tex]p+q[/tex]
Which represents the total amount of coins and
[tex]0.01p+0.25q[/tex]
Which represents the total amount of money in dollars.
So we are asked to evaluation each expression for the situation in which we have 6 quarters and 7 pennies. Thus, plug 6 in for q and 7 in for p:
[tex]p+q\\(7)+(6)=13[/tex]
This tells us that we have 16 coins in total.
[tex]0.01(7)+0.25(6)\\=0.07+1.50\\=1.57[/tex]
This tells us that we have a total amount of $1.57.
Answer:
[tex]\Large \boxed {13} \\ \boxed{ 1.57}[/tex]
Step-by-step explanation:
Pennies ⇒ [tex]p[/tex]
Quarters ⇒ [tex]q[/tex]
First expression describes the total number of coins in the pocket ⇒ [tex]p+q[/tex]
Second expression describes the amount of money in dollars in the pocket ⇒ [tex]0.01p+0.25q[/tex]
There are 6 quarters and 7 pennies in the pocket.
First expression :
[tex]p+q \\ 7 + 6 = 13[/tex]
Second expression :
[tex]0.01p+0.25q \\ 0.01(7)+0.25(6) \\ 0.07+1.5 =1.57[/tex]
PLZ HELP DUE IN 1 HOUR Do you think the mean would be an appropriate measure of center to describe the data shown in the histogram? Explain your answer.
Answer:
Step-by-step explanation:
the mean would be appropriate measure of center to describe the data shown in the histogram because the data is symmetrical.A symmetric histogram is a distribution in which the 2 halves appear to be the same on both sides.
Will mark as brainliest! Ishi walked a total of 2 1/2 miles on a treadmill. He walked at a constant rate of 4 miles per hour. Which expression shows how long, in minutes, Ishi walked on the treadmill? A. 2.5 miles divided by 4 miles/hour divided by 60 minutes/ hour B. 2.5 miles divided by 4 miles/ hour x 60 minutes / hour C. 2.5 miles x 60 minutes/ hour D. 2.5 miles x 4 miles/hour divided by 60 minutes/hour
Answer:
A. 2.5 miles divided by 4 miles/hour divided by 60 minutes/ hour
Step-by-step explanation:
Distance = 2 1/2 = 2.5 milesSpeed = 4 miles/hour = 4 miles / 60 minutesTime = ?Time = distance/speed:
2.5 miles ÷ 4 miles / 60 minutes =2.5 miles × 60 minutes / 4 miles =37.5 minutesCorrect answer choice is:
A. 2.5 miles divided by 4 miles/hour divided by 60 minutes/ hourJohnny’s vegetable garden is rectangular. The length of the garden is 2x-1 and the width of the garden is 3x+2. Find the Perimeter and Area of the garden.
Answer:
[tex] \boxed{\sf Perimeter \: of \: rectangular \: garden = 10x + 2} [/tex]
[tex] \boxed{\sf Area \: of \: rectangular \: garden = 6x^2 + x - 2} [/tex]
Given:
Length of rectangular garden = 2x - 1
Width of rectangular garden = 3x + 2
Step-by-step explanation:
[tex] \sf Perimeter \: of \: rectangular \: garden = 2(Length + Width)[/tex]
[tex] \sf = 2((2x - 1) + (3x + 2))[/tex]
Grouping like terms:
[tex] \sf = 2((2x + 3x) + (2 - 1))[/tex]
2x + 3x = 5x:
[tex] \sf = 2(5x + (2 - 1))[/tex]
2 - 1 = 1:
[tex] \sf = 2(5x + 1)[/tex]
[tex] \sf = (2 \times 5x) + (2 \times 1)[/tex]
2 × 5x = 10x:
[tex] \sf = 10x + (2 \times 1)[/tex]
2 × 1 = 2:
[tex] \sf = 10x + 2[/tex]
[tex] \therefore[/tex]
Perimeter of rectangular garden = 10x + 2
[tex] \sf Area \: of \: rectangular \: garden = Length \times Width[/tex]
[tex] \sf = (2x - 1)(3x + 2)[/tex]
[tex] \sf = 2x(3x + 2) - 1(3x + 2)[/tex]
[tex] \sf = (2x \times 3x) + (2x \times 2) - (1 + 3x) - (1 \times 2)[/tex]
2x × 3x = 6x²:
[tex] \sf = 6 {x}^{2} + (2x \times 2) - (1 + 3x) - (1 \times 2)[/tex]
2x × 2 = 4x:
[tex] \sf = 6 {x}^{2} + 4x - (1 + 3x) - (1 \times 2)[/tex]
1 × 3x = 3x:
[tex] \sf = 6 {x}^{2} + 4x - 3x - (1 \times 2)[/tex]
1 × 2 = 2:
[tex] \sf = 6 {x}^{2} + (4x - 3x) - 2[/tex]
4x - 3x = x:
[tex] \sf = 6 {x}^{2} + x - 2[/tex]
[tex] \therefore[/tex]
Area of rectangular garden = 6x² + x - 2
Answer:
Perimeter = 10x+2 m
Area = 6x²+x-2 m²
Step-by-step explanation:
Length of garden (l) = 2x-1
width or breadth of garden ( b) = 3x+2
Now,
Perimeter of the garden (p) = 2( l + b)
= 2 ( 2x-1 + 3x+2 )
= 2 ( 5x + 1 )
= 10x+2 m. ( Answer )
Again,
Area of garden (a) = l * b
= ( 2x-1 ) ( 3x+2 )
= 2x ( 3x+2 ) -1 ( 3x+2 )
= 6x² + 4x - 3x - 2
= 6x²+x-2 m². ( Answer )