If the tangent is drawn from the outside of the circle. Then the length of the tangents will be same. Then the perimeter is 30 cm.
What is the perimeter of a triangle?Let the triangle be ABC. Then the perimeter of the triangle will be
Perimeter = AB + BC + CA
Now,
We know that if the tangent is drawn from the outside of the circle. Then the length of the tangents will be same.
Then the completed diagram is given below.
Hence, We get;
The perimeter of the graph of figure is,
P = 3 + 3 + 3 + 3 + 9 + 9
P = 30 cm
Thus, The perimeter of the graph of polygon is,
P = 30 cm
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Joshua invested $97,000 in an account paying an interest rate of 6% compounded
daily. Assuming no deposits or withdrawals are made, how much money, to the
nearest cent, would be in the account after 8 years?
Answer:
answer is 156753.03
Step-by-step explanation:
(6x2 - 2x) + (5x-7)
A. 30x3 - 52x2 + 14x
B. 6x2 - 7x+7
c. 11x2 - 9x
D. 6x2 + 3x - 7
Answer:
The answer is D
Solve for w.
-2 = w + 7
Answer:
-9
Step-by-step explanation:
I just took the same test
How many solutions does the following equation have?
5x + 8 - 7x = -4x + 1
For which equation does it make the most sense to solve by using the zero product property? 4x2−2=15 2x2+2x−9=0 x² + 11x +30 = 0 x² + 2x = 119
Answer:
It makes more sense to apply the zero product property on x² + 11x + 30 = 0.
Step-by-step explanation:
The zero product property simply states that if ab = 0, then a = 0 or b = 0 or both are zeros.
Given 4x² – 2 = 15, 2x² + 2x – 9 = 0, x² + 11x + 30 = 0, x² + 2x = 119; let's see which of the above is easiest to apply the zero product property.
1. 4x² – 2 = 15
4x² – 2 – 15 = 0
4x² – 17 = 0
It's not so easy to express the result as a product equal to zero.
2. 2x² + 2x – 9 = 0
This is not factorisable easily and can't be expressed as a product equal to zero easily.
3. x² + 11x + 30 = 0
This is factorisable easily. On factorising we have:
x² + 5x + 6x + 30 = 0
(x + 5)(x + 6) = 0. The zero product property can be applied here easily since x = 5 or x = 6 or both.
4. x² + 2x = 119
x² + 2x – 119 = 0
This is not easily factorisable and cannot be expressed easily as a product equal to zero.
Therefore, it makes more sense to apply the zero product property on
x² + 11x + 30 = 0
can someone that is good at 7th grade math help me plzzzz
Answer:
-4 *-4 *-4
= 16*-4
= ANWSER
-9*-9
=81
Step-by-step explanation:
The zookeeper find the lions in the zoo daily during the week the line graph shows the amount of meat in kilograms fair to the liens on each day of the week find the rate of change in the same amount of meat are fed to the alliance between Thursday and Friday
The changes is is the same amount of meat from Thursday to Friday is ___
Kilograms of meat
The rate of change is the same amount of meat from Thursday to Friday is 14 Kilograms of meat
Here, the line graph shows the amount of meat in kilograms fed to the lions on each day of the week.
From the line graph the amount of meat fed to the lines on Thursday is 58 kilograms
And the amount of meat fed to the lines on Thursday is 72 kilograms
Let x represents the rate of change in the amount of meat from Thursday to Friday.
So, the value of x would be,
x = 72 - 58
x = 14 kilograms
Thus, the rate of change in the same amount of meat are fed to the alliance between Thursday and Friday = 14 kilograms
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Someone plz help me!
Answer:
srry if you still need this asnwer but here you go my grades
Step-by-step explanation:
All of these have to be estimated using the chart shown^
1- 11% of 507
2-26% of 91
3-34% of 91
4-48% of 124
5-20% of 66
6- 47% of 80
7-48% of 202
8-74% of 39
9-30% of 118
10-20% of 42
11-arnold ate breakfast at a restaurant. The total cost of his food, juice, and coffee was $6.45. If the sales tax rate is 8% and Arnold wants to leave a 20% tip. how much should he pay
12- rodneys weekly gross pay is $91. He must pay 32% of taxes and deductions. estimate rodneys weekly take home after deductions.
Express each of the following as a fraction in its simplest form
if u answer for points,
I will take revenge by doing the same on your questions.
Answer:
see explanation
Step-by-step explanation:
(a)
Given
[tex]\frac{y}{3}[/tex] + [tex]\frac{y+3}{5}[/tex]
The common denominator is 15 ( the LCM of 3 and 5 )
Multiply numerator/ denominator of first fraction by 5
Multiply the numerator/ denominator of second fraction by 3
= [tex]\frac{5y}{15}[/tex] + [tex]\frac{3y+9}{15}[/tex] ← add numerators , leaving denominator of 15
= [tex]\frac{5y+3y+9}{15}[/tex]
= [tex]\frac{8y+9}{15}[/tex]
(b)
Given
[tex]\frac{3x}{8}[/tex] - [tex]\frac{x+5}{4}[/tex]
The common denominator is 8 ( the LCM of 8 and 4 )
Multiply numerator/ denominator of second fraction by 2
= [tex]\frac{3x}{8}[/tex] - [tex]\frac{2(x+5)}{8}[/tex] ← simplify numerators leaving denominator of 8
= [tex]\frac{3x-2x-10}{8}[/tex]
= [tex]\frac{x-10}{8}[/tex]
Answer:
a) (8y + 9)/15.
b) (5x + 10)/8.
Step-by-step explanation:
(a) y/3 + (y + 3)/5
The LCD of 3 and 5 is 15 so we have:
5y/15 + 3(y + 3)/15
= (5y + 3(y + 3)) / 15
= (5y + 3y + 9)/15
= (8y + 9)/15.
b) 3x/8 + (x + 5)/4
The LCD of 4 and 8 is 8 so we have:
3x/8 + 2(x + 5)/8
= (3x + 2x + 10) / 8
= (5x + 10)/8.
33/q = 8/12 q=?
What is q
Answer:
q= 49.5
Step-by-step explanation:
[tex] \frac{33}{q} = \frac{8}{12} [/tex]
Cross multiply:
8q= 33(12)
8q= 396
Divide by 8 on both sides:
q= 396 ÷8
q= 49.5
Evaluate: (-2)5
10
32
-10
-32
Answer:
-32
Step-by-step explanation:
-2 x -2 x -2 x -2 x -2 = -32
What is the sum?
Thank you!
Answer:
50 is the sum
Step-by-step explanation:
-10+20=10
10+-40=-30
-30+80=50
Find the length of a diagonal of a square with a perimeter of 16.
Answer:
4√2
Step-by-step explanation:
If a square has a perimeter of 16, then its side lengths are 4.
Use the pythagorean theorem to find the diagonal.
4^2+4^2=c^216+16=c^232=c^2c=√32√32 can be simplified to 4√2.
The length of the diagonal of the square whose perimeter is 16 is 4√2
What is diagonal of the square?
The length of a diagonal is equal to the length of a side multiplied by the square root of 2
Given data ,
Let d be the diagonal of a square
Perimeter of square = 16
Perimeter of square = 4 x A
16 = 4 x A
A = 4
Therefore , diagonal of square is = 4√2
Hence ,The length of the diagonal of the square whose perimeter is 16 is 4√2
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Jenny used a total of 3 5/6 gallons of gas while driving her car. Each hour she was driving, she used 7/9 gallons of gas. What was the total number of hours she was driving?
Answer:
Jenny drove for about 4.93 hours
Step-by-step explanation:
Jenny uses 7/9 gallons of gas per hour.
She used a total of 3 5/6 gallons.
If x is the number of hours she drove, then she used 7x/9 gallons.
X* 7/9 = 3 5/6
3 5/6 can be converted to an improper fraction.
((3*6)+5) / 6 = 23/6 gallons
=> x * 7/9 = 23/6
=> x = (23/6) / (7/9)
=> x = (23/6) * (9/7)
=> x = 69/14
=> x = 4.928571429 hours.
Question 1: Are the following two monomials multiplied correctly?
Yes or no
i need help what is n?
Answer:
x=-7
Step-by-step explanation:
-30=5(x+1)
6-1(x+1)
x=-1-6
=-7
The answer is [tex]x=-7[/tex]
rewrite the formula A = 2pier(r+h)
Answer:
2pier = A x
Step-by-step explanation:
Helppp!!!!
Look at this graph what is the equation if the line in slope intercept form
Answer:
y =(2/3)x + 80
Step-by-step explanation:
to get the slope.. change in y/change in x in two points.
so use the points (0,80) and (30,100) and you get 2/3
you know the intercept, where x=0 (0,80) therefore the equation is 2/3x + 80
MODELING WITH MATHEMATICS The backboard of the basketball hoop forms a right triangle with the supporting rods, as shown. Use the Pythagorean Theorem to approximate
the distance between the rods where they meet the backboard. Round your answer to the nearest hundredth
Mio calculated the volume in this way : V = 12 • 5
Explain what the 12 and 5 represent in the figure.
PLEASE HELP brainly will be given!
Answer:
SSS
Step-by-step explanation:
the corresponding sides of the triangles are proportional to each other
I don’t know if this is correct !!!!!!!!!! Please answer correctly !!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!
Answer: They are related by the AAS postulate and they can be proven congruent.
Step-by-step explanation: You can see that one of the lines on each of the triangle has that little tick which means those lines are congruent. You can also see that for two of the angles one of them has one arc and the other has two arcs for BOTH triangles which makes those two angles congruent. Two angles and one side congruent makes the triangles congruent by the AAS postulate.
I hope I helped! :)
Find the value of x. If necessary, write your answer in simplest radical form.
12
Answer:
x = 13Step-by-step explanation:
According to Pythagoras Theorem,
[tex]{(height)}^{2} + {(base)}^{2} = {(hypotenuse)}^{2} [/tex]
[tex] = > {12}^{2} + {5}^{2} = {x}^{2} [/tex]
[tex] = > {x}^{2} = 144 + 25[/tex]
[tex] = > {x}^{2} = 169[/tex]
[tex] = > x = \sqrt{169} [/tex]
=> x = 13 (Ans)
Answer: 73 will be your answer hope this helped
Step-by-step explanation:
One mile is approximately 1.6 kilometers. A speed limit sign in Europe reading 65 kph
(kilometers per hour) means you can go about how many miles per hour (mph)*
No files no links or you’re going to get reported I’m giving 10 points so all I need is someone to help me
The product of two consecutive positive integers is 1,332. Explain how you can write and solve a quadratic equation to find the value of the larger integer.
Answer:
The numbers can be written as x and x + 1. Set the product of the numbers equal to 1,332 to get x(x + 1) = 1,332. You can solve the quadratic equation by using the quadratic formula, completing the square, or factoring. When you solve the quadratic equation, you find that x = –37 and 36. Since the question asked for positive integers, the only viable solution is x = 36. To solve for the larger integer, you add 1 to 36 to get an answer of 37.
Step-by-step explanation:
sample response
The first consecutive number is 36 and the second consecutive number is 37.
What are the consecutive numbers?Numbers that follow each other continuously in the order from smallest to largest are called consecutive numbers.
Let the first consecutive number be x and the second consecutive number be (x+1).
The product of two consecutive positive integers is 1,332.
[tex]\rm x\times (x+1)=1332\\\\x^2+x=1332\\\\x^2+x-1332=0\\\\x^2+37x-36x-1332=0\\\\x(x+37)-36(x+37x)=0\\\\(x+37)(x-36)=0\\\\x+37=0, \ x=-37\\\\x-36=0, \ x=36[/tex]
(Ignoring the negative value of x).
The first consecutive number = x = 36
The second consecutive number = x+1 = 36 + 1 = 37
Hence, the first consecutive number is 36 and the second consecutive number is 37.
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the surface area 5cm x 14cm x 6cm
Mrs. Owens borrowed $50,000 to start a business. In the first two months, expenses amounted to $52,500, and sales came to only $2,500. How much money does Mrs. Owens have going into the third month?
please answer :) I have 7 I need somebody to answer 8 it is a 2 part question!
Answer:
question 7 would be option 4 because its saying he has AT LEAST $5, which would mean he DOES have $5 or more. Which is why you would use the "more than or equal to" sign that was used in option 4.
question 8 would be option 1 because its a closed circle that includes the $5 and its going to the right.
Step-by-step explanation: