Answer:
[tex]a'=4.5[/tex]
[tex]b'=7.5[/tex]
[tex]c'=9[/tex]
[tex]d'=12[/tex]
[tex]e'=15[/tex]
Step-by-step explanation:
From the question we are told that:
Sides of Polygon 1
a=3
b=5
c=6
d=8
e=10
Perimeter of polygon 2 P_2=48
Generally the equation for Polygon 1 is mathematically given by
P_1=a+b+c+d+e
P_1=3+5+6+8+10
P_1=32
Generally the sides of similar polygon with Perimeter P_2=48 is mathematically given by
Side\ of\ polygon\ 2 =\frac{side\ of\ polygon\ 1}{perimeter\ of\ polygon\ 1}*perimeter\ of\ polygon\ 2
Therefore
[tex]a'=\frac{a}{P_1}*P_2\\a'=\frac{3}{32}*48[/tex]
[tex]a'=4.5[/tex]
[tex]b'=\frac{b}{P_1}*P_2\\b'=\frac{5}{32}*48[/tex]
[tex]b'=7.5[/tex]
[tex]c'=\frac{c}{P_1}*P_2\\c'=\frac{6}{32}*48[/tex]
[tex]c'=9[/tex]
[tex]d'=\frac{d}{P_1}*P_2\\d'=\frac{8}{32}*48[/tex]
[tex]d'=12[/tex]
[tex]e'=\frac{e}{P_1}*P_2\\e'=\frac{10}{32}*48[/tex]
[tex]e'=15[/tex]
Which expression uses the distributive property to represent the sum of 72 + 24?
Answer:
a+b
Step-by-step explanation:
or any letter as long as it has the plus sign
The required expression for the given property is 8(9 + 3).
What is distributive property?The distributive property for the product of a sum of numbers to other numbers states that it is equivalent to the sum of individual products. It can be written as a(b + c) = ab + ac.
The given expression is 72 + 24
In distributive form it can be written as,
GCF of 72 and 24 is 8.
Then, 72 = 8 × 9 and 24 = 8 × 3
Now, the given expression can be rewritten as below,
8 × 9 + 8 × 3
Take 8 as common to get,
8(9 + 3)
Hence, the expression that represents the distributive property is 8(9 + 3).
To know more about distributive property click on,
https://brainly.com/question/5637942
#SPJ2
this true or false????????? ill give brainliest if right
Answer:
This is false.
Step-by-step explanation:
Hope this helps!!
9514 1404 393
Answer:
False
Step-by-step explanation:
A relation is a function if and only if there is exactly one output for each input. Any relation map with two or more arrows coming from any input is NOT a function.
Here, the input "2" has two outputs, 4 and 5, so this map does not show a functional relationship.
Angle a and b are supplementary angles, and a is x-3 and b is x+14 what are the measures of angle a and b
Answer:
a = 81.5
b = 98.5
Step-by-step explanation:
According to the scenario, computation of the given data are as follows,
a = x-3
b = x+14
In supplementary angles , the formula are as follows,
a + b = 180
By putting the value, we get
x - 3 + x + 14 = 180
2x + 11 = 180
2x = 180 - 11
2x = 169
x = 169 ÷ 2
x = 84.5
So, a = 84.5 - 3
= 81.5
b = 84.5 + 14
= 98.5
I need help please no links!
Answer:
It will be 8 meters long.
[tex]l = \sqrt{ {17}^{2} - {15}^{2} } \\ l = \sqrt{64} \\ l = 8 \: m[/tex]
Simply by adding like terms: -7x^2*y*z + 3y*z^2 - z*x^2*y - 4y
9514 1404 393
Answer:
-8x^2·y·z +3y·z^2 -4y
Step-by-step explanation:
It can be helpful to make sure the variables in each term are in alphabetical order. This makes it easier to see "like" terms. The variables in each term are ...
x^2 y z
y z^2
x^2 y z
y
Only the first and third terms are like terms, so those are the only ones that can be combined. Their coefficients are -7 and -1, so sum to -8. The combined term is of highest degree, so in standard form we list that term first.
= -8x^2·y·z +3y·z^2 -4y
Peyton opened a savings account with $1800 that pays no interest. She deposits an additional $200 each week thereafterHow much money would Peyton have in the account 40 weeks after opening the account?
Answer:
Step-by-step explanation:
Answer:
9600
Step-by-step explanation:
1800+200(40-1) = $9600
ano ang dapat tandaan sa pagbuo ng plano ng proyekto
Answer: kung ano ang dapat tandaan ay na kailangan mong makuha ang bawat detalye at gawin ang mga bagay na mabagal upang hindi ka makaligtaan anything. Pinaka utok pls
Step-by-step explanation:
State six ordered pairs for this function.
F(x) = x2 +14x+45
Can someone help me? Don’t put a link I will report links
Answer:
3.5
Step-by-step explanation:
Please help. COS (C)=
Answer:
7/25
Step-by-step explanation:
Answer:
hi nice to meet you
Step-by-step explanation:
7/25 that's all
Triangle ABC has side lengths a=74.1, b= 60.8, c=114.2. What is the measure of angle C?
a. 35.9°
b. 28.8°
c. 96.4°
d. 115.3°
Given:
In triangle ABC, a=74.1, b= 60.8, c=114.2.
To find:
The measure of angle C.
Solution:
According to the Law of cosine:
[tex]\cos C=\dfrac{a^2+b^2-c^2}{2ab}[/tex]
Substituting [tex]a=74.1,b= 60.8,c=114.2[/tex], we get
[tex]\cos C=\dfrac{(74.1)^2+(60.8)^2-(114.2)^2}{2(74.1)(60.8)}[/tex]
[tex]\cos C=\dfrac{5490.81+3696.64-13041.64}{9010.56}[/tex]
[tex]\cos C=\dfrac{-3854.19}{9010.56}[/tex]
[tex]\cos C=-0.42774145[/tex]
Taking cos inverse on both sides, we get
[tex]C=\cos^{-1}{-0.42774145}[/tex]
[tex]C=115.324312[/tex]
[tex]C=115.3^\circ[/tex]
Therefore, the correct option is d.
What is 2/3-1/2 equal to (fraction form)
Answer:
[tex]\frac{1}{6}[/tex]
Step-by-step explanation:
Hope this helps <3
Answer:
=1/6
Step-by-step explanation:
First of all you have to find the lcm of the two denominators which are, 3 and 2
Lcm of 2 and 3 =6
Then divide 6 by by the denominators and multiply by numerators, which gives you
(4-3) / 6
After solving the above, we then arrive at 1/6 as our answer.
The Langs family drove 225 miles to a beach. Most of their travel was on interstate highways. The Langs drive 65 miles per hour on the last 45 miles of their trip. On average, the Langs traveled 20 miles on one gallon of gas. The gas tank on the Langs' car holds 15 gallons of gas. The Langs had a full tank when their trip began. How many times did they stop to refill the tank before they reach the beach
Answer:
Step-by-step explanation:
what's 5/6 as a decimal ?? plz help
"Mindy has a piece of string that is 5 1/2yd long. She cuts it into pieces that are each 1/2 yd long. Solve the equation 5 1/2 = 1/2x to find out how many pieces of string, x, she gets. Show your work
Answer:
Step-by-step explanation:
Mindy has a piece of string that is 5 1/2yd long. She cuts it into pieces that are each 1/2 yd long. Solve the equation 5 1/2 = 1/2x to find out how many pieces of string, x, she gets. Show your work
Which holds more, a cylinder with a height of 10.0 cm and a diameter of 7.0 cm or a cylinder with a height of 7.0 cm and a diameter of 10.0 cm? Explain your answer using calculations. *
Answer:
The cylinder with a height of 7.0 cm and a diameter of 10.0 cm
Step-by-step explanation:
v = πr²h
---------------------
cylinder with a height of 10.0 cm and a diameter of 7.0 cm
v = π(3.5²)10
v = 384.65 cm³
cylinder with a height of 7.0 cm and a diameter of 10.0 cm
v = π(5²)7
v = 549.5 cm²
549.5 > 384.65
The second cylinder holds more
Which equation is a linear function?
Answer:
B. y = xStep-by-step explanation:
Linear function has the form of:
y = mx + bOnly one of the choices, B is representing the linear function:
y = xWhat is the slope of the line in the graph?
Answer:
m=0
Step-by-step explanation:
Solve for x. Round your answer to the nearest tenth.
14.
х
11
X=
type your answer...
Answer:
8.7
Step-by-step explanation:
14² - 11² = x
196-121= 75
√75= 8.66
so rounding it would be 8.7
Find the derivative of f(x) = -5 divided by x at x = 11. (5 points)
AThe chosen topic is not meant for use with this type of problem. Try the examples below.
f (x) = 7x − 2, x = 6
f (x) = 3x − 2, x = 9
f (x) = x^2, x = 12
Answer:
I believe it is 2.2
Step-by-step explanation:
5 goes into 11. 2 times. 2times5= 10 and 11-10=1- 5 goes into 10 2 times- 2 times 5=10; 10-10=0. Therefore it would be 2.2. Hope this helps you. :)
At a hockey game, a vender sold a combined total of 136 sedas and hot dogs. The number of sodas sold was three times the number of hot dogs sold. Find the
number of sodas and the number of hot dogs sold
Answer: just do 3x136
step-by-step explanation:
bfui3qtwsd3wa CAF
The number of sodas sold is 102 and the number of Hot dogs sold is 34.
What are mathematical operations?The term "operation" in mathematics refers to the process of computing a value utilizing operands and a math operator. For the specified operands or integers, the math operator's symbol has predetermined rules that must be followed. In mathematics, there are five basic operations: addition, subtraction, multiplication, division, and modular forms.
Given, At a hockey game, a vendor sold a combined total of 136 sodas and hot dogs.
Let "x" be the number of hot dogs sold
Since The number of sodas sold was three times the number of hot dogs sold.
thus,
Number of Sodas sold = 3 * x
Since total items sold = 136
x + 3x = 136
4x = 136
x = 34
Thus, the number of Sodas sold = 34 * 3
the Number of Sodas sold = 102
therefore, the number of sodas sold is 102 and the number of Hot dogs sold is 34.
Learn more about Mathematical operations here:
https://brainly.com/question/20628271
#SPJ2
My teacher took off points because I puter meters per second and not meters/second. Are these not the same thing?
Answer:
No
Step-by-step explanation:
Meters per second is how many meters in one second
meters/second is meters divided by one second
Hope this helps you understand better!
It is the same but the teacher may be trying to get you to put it that way for future math problems.
Write the equation 8x-2y=10 in slope intercept form.
Answer:
[tex]y=4x-5[/tex]
Step-by-step explanation:
Slope-intercept form is given as [tex]y=mx+b[/tex]. We can simply manipulate and rearrange the given function to be in this form:
[tex]8x-2y=10,\\-2y=-8x+10,\\\boxed{y=4x-5}[/tex]
The angle of depression of a point G on a horizontal ground from top T of an electrical pole is 25°. If the distance from G to the foot of the pole is 45m, calculate the height of the pole to the nearest whole number. PS: use scale 1:9.
Answer: 21 m
Step-by-step explanation:
Given
the angle of depression of point G is [tex]25^{\circ}[/tex]
Distance from pole base to point G is 45 m
Suppose h is the height of the pole
From the figure, we can write
[tex]\Rightarrow \tan 25^{\circ}=\dfrac{h}{45}\\\\\Rightarrow h=45\tan 25^{\circ}\\\Rightarrow h=20.98\approx 21\ m[/tex]
When instructed to find the length of HJ in right
triangle HJG, Alex wrote the equation
HJ
HJ
sin 28° = while Marlene wrote cos 62°
20
20
Are both students' equations correct? Explain
why.
H
+
20
28
O
G
See attachement for the diagram of the triangle
Answer/Step-by-step explanation:
To find the length of HJ, we can use different equations as follows:
✔️Recall: SOHCAHTOA
Let's take <G as the reference angle = 28°
Opposite side to reference angle = HJ
Hypotenuse = 20
Apply SOH.
Thus:
Sin 28° = opp/hyp
Sin 28° = HJ/20 (Alex's equation is correct).
Solving further, we would have:
HJ = Sin 28 * 20 ≈ 9.4
✔️Another way is by using <H as the reference angle.
m<H = 180° - (90° + 28°) (sum of triangle)
m<H = 62°
Adjacent side to reference angle (<H) = HJ
Hypotenuse = 20
Apply CAH:
Cos 62° = Adj/Hyp
Cos 62° = HJ/20 (Marlene's equation is correct)
Solving further, we would have,
HJ = Cos 62° * 20 ≈ 9.4
As you can see, the equation of both students are correct. Both would arrive at the same answer using any of the two equations.
What is the volume of a sphere with a diameter of 49.3cm, rounded to the nearest tenth of a cubic centimeter?
Please help me with my work give brainlessly
Answer:
Volume = 684 in^3
Step-by-step explanation:
To start, the equation for Volume = L*W*H
So, lets begin with the cube on the top, all of its sides are 6 inches in length, so do:
6*6*6 to get the volume of just it
216
Next. lets get the rectangular prism.
6*6*13
468
Last, combine these.
684 in^3
Katy put $3000 into his bank account. If the account pays 9% interest compounded continuously, when will it be worth $12000?
Answer:
33 years and 4 months.
Step-by-step explanation:
Assuming it is a flat rate
3000 x 0.09 = $270 per year
12000-3000=9000
9000/270 = 33 years, 4 months
What is the quotient of 5.76 x 10^7 and 9.0 x 10^4 expressed in scientific notation?
Answer:
6.4 x 10²
Step-by-step explanation:
1st step: divide 5.76 by 9 which is .64
2nd step: 10^7÷10^4 = 10^7-4 or 10³
HELP WILL GIVE BRAINLIEST!!!!!
Write an inequality for the situation.
Karen has at least 7 dresses.
Answer:
At least 7 < She had 15