Answer:
Option 4: 45 units is the correct answer
Step-by-step explanation:
Let [tex]P_1[/tex] be the perimeter of Pentagon and
Let P2 be the perimeter of Triangle
So,
[tex]P_1 = 5(\frac{1}{2}x-1)\\P_2 = 3(x-5)[/tex]
In order to find the perimeter of each figure we have to put both the expressions equal so that the value of x can be found and then perimeter.
So,
[tex]P_1 = P_2\\5(\frac{1}{2}x-1) = 3(x-5)\\\frac{5}{2}x-5 = 3x-15\\\frac{5}{2}x-3x = -15+5\\\frac{5x-6x}{2} = -10\\-\frac{x}{2} = -10\\-x = -10 * 2\\-x = -20\\x = 20[/tex]
Putting x = 20 in 2nd perimeter
[tex]P_2 = 3(x-5) \\= 3(20-5)\\= 3(15)\\=45[/tex]
As both the perimeters are same, the perimeter of pentagon will also be 45 units.
Hence,
Option 4: 45 units is the correct answer
Laurie was scuba diving. Each time she dove 5 feet deeper, she would stop and clear her ears. After Laurie had checked her instruments 3 times, she was at her maximum depth of 60 feet. Which expression best represents Laurie's maximum depth? (4) (negative 5) (3) (Negative 4) (Negative 5) (Negative 3) (Negative 5) (20) (3) (Negative 5) (Negative 20) (Negative 3)
Complete question :
Answer:
(-5) * (20) * (3)
Step-by-step explanation:
Diving 5 feets deeper = descent = negative 5 Feets
Each time instrument is checked = (60/3) = depth of 20 feets
Number of times instrument is checked = 3
Hence, maximum depth :
Diving 5 feets deeper * Each time instrument is checked = depth of 20 feets * Number of times instrument is checked
(-5) * (20) * (3) = - 60
Answer:
c
Step-by-step explanation:
Please help due soon! I'm giving brainliest answer :)
Answer:
the third one
Step-by-step explanation:
Pls show work or at least explain its essy but i need help
Answer: I think its D
Step-by-step explanation: If im right plz give brainliest
in the figure, m<2 = 56. What is the measure of <1?
Answer:
Well, we know that the interior angles of any triangle add up to 180. We also know that a pair of supplementary angles adds up to 180. Furthermore we know that the figure in an iscoceles triangle. We know this since the 2 lines of the triangle are marked with a bisecting arc indidcating that they are equal in length. Therefore the 2 base angles are equal by the rules of an isosceles triangle. Let M and N represent the 2 base angles:
by using the rule that the interior angles add up to 180 we see that 56 +m +n=180
M and n are the same values since this is an isosceles triangle.
56 +m +n=180
m+n=124
Since m and n are the same values we just divide 124 by2
m, n=62
Therefore by using the rules of supplementary angles if the base angles equal 62 then the m<1 and 62 should add up to 180 since suplementary angles add up to 180. 180-62=118
m<1=118
Step-by-step explanation:
can someone help me understand ratios
Answer:
Step-by-step explanation:
A ratio says how much of one thing there is compared to another thing.
ratio 3:1
There are 3 blue squares to 1 yellow square
Ratios can be shown in different ways:
Use the ":" to separate the values: 3 : 1
Or we can use the word "to": 3 to 1
Or write it like a fraction: 31
A ratio can be scaled up:
ratio 3:1 is also 6:2
Here the ratio is also 3 blue squares to 1 yellow square,
even though there are more squares.
Credits to math is fun
ratios compare two quantities
basically ratios are usually in the form x : y (x to y), where the quantity of x is compared to the quantity of y. there can be different values for x and y in this case. they can either both be part of a whole, or one can be part of a whole while the other is the whole.
(q^4)^z= 9^12
Find the value of z.
Answer:
z=12
Step-by-step explanation:
Tell me what number can you multiply q (unknown value) and 4 to get 9 and 12.... 3 right? 3x3 is?? 9 exactly. 3x4 is??? 12 boom
Please help me with this equation
Answer:
u just expand the brackets out and make a linear equation to solve from there
Step-by-step explanation:
Translate each of the following into an expression or equation:
1. The sum of a number and 5 is 20
2. Ten more than a number
3. A number increased by eleven is twenty one
4. Three times a number increased by 4
5. The sum of a five times a number and six
6. Seven more than three times a number
7. The difference between ten times a number and 3
8. Subtract eight from six times and number
9. Eight less than a number is five
10. Five times a number decreased by six
11. A number decreased by seven
12. The product of a number and seven
13. The sum of twice a number and four
14. The quotient of a number and three
15. A number divided by eleven
Answer:
You have to translate these sentences into expressions. I am not going to solve all of these because if I explain one/two problems to you, you'll get the hang of it. Seven more than three times a number: 7+3x; Five times a number decreased by six: 5x-6
Step-by-step explanation:
Why? We don't know what number that is, so we can put any variable like (x, y, z, a, b, etc.). Three times a number is simply that number times 3. In this case we would input: 3*x, or 3x. 7 more than that number is 3x+7. Five times a number decreased by six: 5x-6 . Remember: it is simply 5*x which simplifies to 5x. Decreased is take away, so take away 6, and get 5x-6
Key words: Quotient: the result after dividing two/or more numbers; Product: the result after multiplying two/ or more numbers; Decreased: take away (Example: x decreased by 7=x-7)
I hope you understand!! It is very simple after you start to get the hang of it!!
What’s the y & x for this?
kelsey purchases a coupon book with discounts for her favorite coffee shop: every coupon for the coffee shop offers the same discount. The table shows her total savings, y, based on the number of coupons, x, used from the book. what are the slope and Y intercept of the line represented by the points shown in the table?
9514 1404 393
Answer:
b. slope: 2; y-intercept: -20
Step-by-step explanation:
The y-intercept is the first point in the table, where x=0. That eliminates choices A and D.
The slope is the difference in y divided by the difference in x. Using the first and second points in the table, this is ...
(-10 -(-20))/(5 -0) = 10/5 = 2
The slope is 2; the y-intercept is -20.
dan spens 3/4 of his wages on rent and 1/8 on food if he makes £240 per week how much money does he have left
Answer:
£30
Step-by-step explanation:
3/4 is the same as 6/8. [tex]\frac{6}{8}+\frac{1}{8}=\frac{7}{8}[/tex]. 7/8 of £240 is [tex]\frac{7}{8}*240[/tex] which is 210. [tex]240-210=30[/tex].
PLZZZ ANSWER FAST DOING QUIZ RN!
given a right triangle with sides of a = 3 and b = 11 find the length of C
a:10.6
b:11.7
c:11.0
d:11.4
Answer:
D. 11.4 (If C is the hypotenuse)
Step-by-step explanation:
11^2 + 3^2 = 130
sqrt 130= 11.4
Answer: I don`t know but I set up a pull for you in Quizizz so the answers should start coming in so just be patient thank you for asking
Step-by-step explanation:
find the nth term for this sequence 15 12 9 6
Answer:
3n
Step-by-step explanation:
Answer:
a_n=-3n+18
Step-by-step explanation:
Arithmetic sequence formula: a_n=a_1+(n-1)d
a_n= nth term
a_1= 15
d= -3
a_n=15+(n-1)(-3)
-3n+18
What is the correlation coefficient for the data (0, 3), (1, 2), (2, 0)?
Answer:
The answer is (0, 15)
Hope i helped :)
if your taking algebra..........same :( isnt it so stupid. why do we need to know what y=mx+b is ughhh im failing bc of the stupid class
Answer:
I know i hate algebra
Step-by-step explanation:
Help plz ASAP I WILL GIVE U BRAINLY!! <333
Rectangular coordinates (StartRoot 3 EndRoot, StartRoot 3 EndRoot) and polar coordinates (r, theta) = (StartRoot 6 EndRoot, StartFraction pi Over 4 EndFraction) both represent the same complex number z.
Which set of equations demonstrates why both sets of coordinates represent the same number?
A.) r = StartRoot 3 EndRoot + StartRoot 3 EndRoot = StartRoot 6 EndRoot and theta = inverse tangent of (1) = StartFraction pi over 4 EndFraction
B.) r = StartRoot 3 EndRoot + StartRoot 3 EndRoot = StartRoot 6 EndRoot and theta = inverse tangent of (StartRoot 3 EndRoot) = StartFraction pi over 4 EndFraction
correct one - C.) r = StartStartRoot (StartRoot 3 EndRoot) squared + (StartRoot 3 EndRoot) squared EndEndRoot = StartRoot 6 EndRoot and theta = inverse tangent of (1) = StartFraction pi Over 4 EndFraction
D.) r = StartStartRoot (StartRoot 3 EndRoot) squared + (StartRoot 3 EndRoot) squared EndEndRoot = StartRoot 6 EndRoot and theta = inverse tangent of (StartRoot 3 EndRoot) = StartFraction pi Over 4 EndFraction
Answer:
It is C. r = StartStartRoot (StartRoot 3 EndRoot) squared + (StartRoot 3 EndRoot) squared EndEndRoot = StartRoot 6 EndRoot and theta = inverse tangent of (1) = StartFraction pi Over 4 EndFraction
Step-by-step explanation:
edge2020
The rectangular coordinates (√3,√3) and polar coordinates (√6,[tex]\frac{\pi}{4}[/tex]) represent the same complex number z=x+iy because,
[tex]r=\sqrt{(\sqrt3)^2+(\sqrt3)^2}=\sqrt6[/tex] and,
[tex]\theta=\arctan(\frac{\sqrt3}{\sqrt3})=\arctan(1)=\frac{\pi}{4}[/tex]
The question is not written in an understandable manner look at the question in the below-given image.
What is polar coordinate?In terms of Cartesian coordinates, the polar coordinates r (the radial coordinate) and θ (the angular coordinate, often known as the polar angle),
x = rcosθ
(1)
y = rsinθ,
(2)
where r is the radial distance from the origin and θ is the counterclockwise angle from the x-axis. In relation to x and y,
[tex]r=\sqrt{x^2+y^2}[/tex]
(3)
[tex]\theta=\arctan(\frac{y}{x})[/tex]
How to solve it?Using the above explanation of polar coordinates we have that
[tex]r=\sqrt{(\sqrt3)^2+(\sqrt3)^2}=\sqrt6[/tex] and
[tex]\theta=\arctan(\frac{\sqrt3}{\sqrt3})=\arctan(1)=\frac{\pi}{4}[/tex]
Learn more about polar coordinates here-
brainly.com/question/18068617
#SPJ2
Order the decimals from least to greatest.
1.45, 2.56, 0.99
Answer:
0.99, 1.45 then 2.56 will be the greatest!
Which of the following are the most likely factors of the function graphed above?
A. (x-3)(x+4)
B. (x+3)(x-4)
C. (x+2)(x-4)
D. (x)(x+12)
Answer:
Option (B)
Step-by-step explanation:
From the graph attached,
x-intercepts of the graphed function are,
x = -3 and x = 4
Therefore, zero factors of the function will be,
(x + 3) and (x - 4)
So the quadratic function given in the graph will be in the form of,
f(x) = (x + 3)(x - 4)
Option (B) will be the correct option.
You are constructing a line perpendicular to line y through point X, which is not on line y. Which of the following is not a necessary step?
A. Draw an arc with center Q and radius XQ. Label the intersection of this arc and line y as point C. Draw line XC .
B. Draw two arcs of the same radius using A as a center and B as a center. Label the intersection of these two arcs as Q .
C. Place a compass at point X and draw an arc that intersects the line twice. Label the intersections A and B.
D. Draw line XQ .
Answer:Ur answer is C
(7,3) a solution of y
Answer:
y=3
Step-by-step explanation:
The distance from Boston Massachusetts to Buffalo New York is 450 miles what’s the closest approximation of how many kilometers apart these two cities are
Answer:
724.2048 Kilometers
Step-by-step explanation:
Use absolute value to express the distance between 8 and -5
Answer:
The distance between points 8 and -5 is 13
Step-by-step explanation:
We need to find distance between points 8 and -5
The formula used to find the distance is: [tex]Distance=|b-a|[/tex]
Absolute value is used to get only positive values. i.e |-1|=1 if required.
We are given: b=8 and a=-5
Putting values and finding distance
[tex]Distance=|b-a|\\Distance=|8-(-5)|\\Distance=|8+5|\\Dstance=|13|\\Distance=13[/tex]
So, the distance between points 8 and -5 is 13
Triangle P R Q is shown. The length of side P R is 5 n. The length of side R Q is 32 + n. Angles R P Q and P Q R are congruent. What is the length of PR?
Answer:
20Step-by-step explanation:
According to Triangle P R Q, if angles R P Q and P Q R are congruent, this means that two of the sides of the triangle a re also congruent (Isosceles triangle).
We can say then that length of side PR is equal to that of RQ i.e PR = RQ
Given
PR = 5n
RQ = 32+n
Required
Length of PR
Since the two sides are equal i.e PR = RQ
5n = 32+n
5n - n = 32
4n = 32
n = 32/8
n = 4
Get PR;
Since PR = 5n
PR = 5(4)
PR = 20
Hence the length of PR is 20.
Answer:
40
Step-by-step explanation:
Select all names that apply.
121
121
I don't understand the question
WILL MARK BRAINLIEST
two sides of a triangle have lengths 6 and 17 which inequalities represent the possible lengths for the third side, x?
Answer:
Will you really mark brainliest though?
Step-by-step explanation:
chad bought a box of raisins. he gave 1/6 of it to one brother, 1.4 to another brother and he kept the rest for himself. what fraction did he keep
Answer: 1 - 5/12 = 7/12
Fraction, that he gave to his brothers = 1/6 + 1/4 = 5/12
So, Fraction he kept for himself, 1 - 5/12 = 7/12
Select all the comparisons that are correct.
Check all that are true.
0.5 inches > 0.60 inches
0.10 inches
0.1 inches
0.75 inches > 0.6 inches
0.9 inches < 0.85 inches
0.2 inches < 0.28 inches
Answer:
a b e i think
Step-by-step explanation:
Setup a rational equation and solve it from the word problem. Mr. Solberg can ride his scooter 3 miles against the wind in the same time it takes him to scooter 4 miles with the wind. If the speed of the wind is 5 mile per hour, how fast does Mr. Solberg scooter when there is no wind?
Answer:
The speed of Mr Solberg's scooter when there is no wind is 35 miles per hour
Step-by-step explanation:
The given parameters are;
The time Mr. Solberg rides his scooter and cover 3 miles against the wind = The time Mr. Solberg rides his scooter and cover 4 miles with the wind
The speed of the wind = 5 miles per hour
Let v, represent the speed of Mr Solberg's scooter when there is no wind, we have;
Time = Distance/Speed
Mr Solberg's speed against the wind = v - 5
Mr Solberg's speed with the wind = v + 5
The distance covered at a given time, while riding against the wind = 3 miles
The distance covered at the same time, while riding with the wind = 4 miles
The time in both instances are therefore 3/(v - 5) = 4/(v + 5)
From which we have;
3 × (v + 5) = 4 × (v - 5)
3·v + 15 = 4·v - 20
20 + 15 = 4·v - 3·v
4·v - 3·v = 20 + 15
v = 35
The speed of Mr Solberg's scooter when there is no wind = v = 35 miles per hour.
Angelica and genesis are trying to find the difference of 7-(-5). Genesis thinks the difference is -12. Angelica thinks the difference is +12. Who is correct? Explain.
Answer:
12
Step-by-step explanation:
7-(-5) = 7+5
7+5 = 12
7-(-5) = 12
if i have a 83.5 as my grade and let's just say i would get a 70/100 what would be my grade?
Answer:
76.75
Step-by-step explanation:
83.5 + 70= 153.5
153.5 / 2 = 76.75
Your grade would be 76.75.
HOPE THIS HELPED