What are a) the ratio of the perimeters and b) the ratio of the area of the larger figure to the smaller figure?
A) 5/2 and 25/4
B) 5/2 and 7/4
C) 7/2 and 25/4
D) 7/2 and 7/4
Given:
Base of the larger figure = 30 yd
Base of the smaller figure = 12 yd
To find:
a) The ratio of the perimeters of the larger figure to the smaller figure.
b) the ratio of the area of the larger figure to the smaller figure.
Solution:
a) We know that, the ratio of perimeters pf similar figures is equal to the ratio of their sides.
The given figures are similar. So, the ratio of the perimeters is:
[tex]\text{Ratio of the perimeters}=\dfrac{\text{Base of the larger figure}}{\text{Base of the smaller figure}}[/tex]
[tex]\text{Ratio of the perimeters}=\dfrac{30}{12}[/tex]
[tex]\text{Ratio of the perimeters}=\dfrac{5}{2}[/tex]
b) The ratio of area of similar figures is equal to the ratio of squares of their sides.
[tex]\text{Ratio of the areas}=\dfrac{\text{Base of the larger figure}^2}{\text{Base of the smaller figure}^2}[/tex]
[tex]\text{Ratio of the areas}=\dfrac{(30)^2}{(12)^2}[/tex]
[tex]\text{Ratio of the areas}=\left(\dfrac{30}{12}\right)^2[/tex]
[tex]\text{Ratio of the areas}=\left(\dfrac{5}{2}\right)^2[/tex]
[tex]\text{Ratio of the areas}=\dfrac{25}{4}[/tex]
Therefore, the correct option is A.
Jose has scored 866 points on his math tests so far this semester. To get an A for the semester, he must
score at least 946 points.
Part 1 out of 2
Enter an inequality to find the minimum number of points he must score on the remaining tests in order to
get an A. Let n represent the number of points Jose needs to score on the remaining fests.
Answer:
ur question is more clarification
Step-by-step explanation:
Answer:
I don't know this
Step-by-step explanation:
Not enough info to solve it...can you post part 2 as well?
Without solving, identify whether each of the following equations has a unique solution, no solution, or infinitely many solutions.
2(x−3)=10x−6−8x
1 solution
No Solution
Infinite Solutions
Answer:
Infinite Solutions
Step-by-step explanation:
Simplify both sides and you will see they are equivalent meaning that it has infinite solutions
Hugo puts $200.00 into an account to use for school expenses. The account earns 13% interest, compounded annually. How much will be in the account after 6 years?
Answer:
y=200(1.13)^6= 416.39
Step-by-step explanation:
Neptune has a diameter of about 3 x 10^4 miles. Earth has a diameter
of about 8 x 10^3 miles.
Earth's diameter is about__
the size of Neptune's diameter.
2.67 times
37.5 times
0.267 times
26.7 times
Answer:
0.267 times
Step-by-step explanation:
(8×10³) ÷ (3×10⁴) = 0.2666666667
The radius of a circular musical drum is 70 centimeters. Find its area. Use = 3.14 (PLEASE DO NOT PUT UNNECESSARY LINKS)
Answer:
it is basically the radius times 2 and then times 3.14
Step-by-step explanation:
439.6! :D
Find the length and width of a rectangle with an area of 2x + x - 3.
A. l = 2x + 3; w = x + 1
B. l = 2x + 3; w = x - 1
C. l = 3x + 2; w = x - 1
Answer:
the answer would be B: l = 2x + 3; w = x - 1
DO THESE TWO PAGES
I gain: a decent grade on my rigged extra school
You gain: 25 points and brainliest
Answer:
19)A 20)A 21)A 22)C 23)D 24)D 25)B 26) A 27)B
28) A 29)B 30)A 31) The surface area of Tina's shoebox is 184a..
u can check the answers if u wantt !! :)
Is 15 1/2 to the right or left of 15 3/4 on the number line? Explain your answer.
Answer:
to the left
Step-by-step explanation:
Answer:
To the Left
15 1/4, 15 1/2, 15 3/4, 16
Hope this helps.
There are 439 TV high school students. 87 are absent today. What percent of
students are absent? Round to the nearest whole percent. *
Answer:
23
Step-by-step explanation:
There are approximately 20% students are absent.
What is a Percentage?A Percentage is a number or ratio expressed as a fraction of 100.
Given that there, 439 students and 87 are absent
Percentage = 87/439 * 100 % = 19.81 ≈ 20%
Hence, there are approximately 20% students are absent.
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prove the identity tan^2x+6=sec^2x+5
write a real world division problem for which you would drop the remainder
MEANING THERE WOULD BE NO REMAINDER!!!
Answer:
No remainder: Ana has 49 chocolate bars and she wants to give the same amount to each of her seven friends. How many chocolate bars would each friend get?
You have a remainder but don't use it: Ana has a 498 sticker pack. She wants to divide them amongst her 7 friends. How many stickers would each friend get if they all get the same amount?
Step-by-step explanation:
In the first one if you divide 49 by 7 you will get no remainder but in the second one you will
I didn't know what your question meant so I answered it if the problem had no remainder or if the problem did have a remainder but it is not used
Hope this helped :)
Answer:
You are a teacher holding a competition amongst your students. In your class, you have 31 children competing. The prizes that you give them are chocolates. Beforehand, you bought 2 bags of Hershey's Kisses. Inside one bag, there are 70 Hershey's Kisses. In the end of the competition, you teach your students that in your classroom, there are no winners or losers; just learners. You spread the Hershey's Kisses evenly amongst all of your students. You keep the remaining ones left. How many Hershey's Kisses do your students get?
(I hope whoever grades this for you gets a little laugh out of it lol)
A rectangular prism has a length of 16in, a height of 15in, and a width of 6in. What is its volume, in cubic in?
Answer:
9in
Step-by-step explanation:
a p e x
Answer:
Step-by-step explanation:
I need help FAST pleaseeeee
Answer:
20 i think
Step-by-step explanation:
On Saturday jeff used 2 quarts 1 cup of water from a full gallon of water. On Sunday he used 3 pints of water from the same gallon. How much water was left in the gallon after sunday
Answer:
17.80
Step-by-step explanation:
A person places $1380 in an investment account earning an annual rate of 8.6%, compounded continuously. Using the formula V = Pe^{rt}V=Pe rt , where V is the value of the account in t years, P is the principal initially invested, e is the base of a natural logarithm, and r is the rate of interest, determine the amount of money, to the nearest cent, in the account after 10 years.
Answer:
V = 3261.16
Step-by-step explanation:
Given:
P = 1380
r = 8.6% or 0.086
t = 10
Work:
[tex]V=Pe^{rt}\\\\V=1380e^{0.086*10}\\\\V=1380e^{0.86}\\\\V=3261.16[/tex]
M
N
Which statement is true about ZJXM and 2NXP?
O ZJXM and 2NXP are complementary
O ZJXM and XNXP are vertical.
O ZJXM and 2NXP are supplementary
O ZJXM and XNXP are adjacent
i
Answer:
Im late but i was doing the assignment and got A
Step-by-step explanation:
Option A is correct, ∠JXM and ∠NXP are complementary is the true statement.
What are Angles?An angle is formed when two straight lines or rays meet at a common endpoint.
There are three angles on this straight line JP which are ∠JXM, ∠NXP and ∠MXN
It is shown that ∠MXN is a right angle i.e. 90°.
Then, sum of angle on this line is 180°.
∠JXM + ∠NXP + ∠MXN = 180°
∠JXM + ∠NXP + 90° = 180°
∠JXM + ∠NXP = 180° — 90°
∠JXM + ∠NXP = 90°
From the definition of complementary angles : Two Angles are said to Complementary if their sum is 90° (a Right Angle).
Then, since ∠JXM + ∠NXP add up to 90°, it shows that ∠JXM and ∠NXP are complementary
Hence, ∠JXM and ∠NXP are complementary is the true statement.
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I need help I’ll give u brainliest but i need an explanation or I can’t give it
Answer:
the answer is a
Step-by-step explanation:
I just don’t get it, please help me.
Answer:
Answer in the image below \/
Step-by-step explanation:
What is answer to x+4
Answer:
4x
Step-by-step explanation:
I think the answer is 4X.on the other hand, I think the answer is x + 4 because we were told you can't mix goats with cows.it is the same thing with x + 4 so if the answer isn't 4 x it is x + 4 I'm not quite sure which is the answer hope it helps.
I need an answer ASAP!!
Answer:
x = 8
Step-by-step explanation:
because wy bisects XZ , XY and ZY are equal so ..
2x+3=3x-5
then x is 8❤
which point on the number line represents --3/4
Answer:
D
Step-by-step explanation:
Because it is 3 tics closer to 1. which would be 3/4 of 1
HELP ME PLEASE I need it
Solve for x. round your answer to the nearest tenth
Trigonometry
Answer:
[tex]\displaystyle x \approx 16.5[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityTrigonometry
[Right Triangles Only] SOHCAHTOA[Right Triangles Only] tanθ = opposite over adjacentStep-by-step explanation:
Step 1: Define
Angle θ = 70°
Opposite Leg = x
Adjacent Leg = 6
Step 2: Solve for x
Substitute in variables [tangent]: [tex]\displaystyle tan70^\circ = \frac{x}{6}[/tex][Multiplication Property of Equality] Isolate x: [tex]\displaystyle 6tan70^\circ = x[/tex]Rewrite: [tex]\displaystyle x = 6tan70^\circ[/tex]Evaluate: [tex]\displaystyle x = 16.4849[/tex]Round: [tex]\displaystyle x \approx 16.5[/tex]Which equation below represents a line with a slope of - 2/3 that passes through the point (-4.5 , 10)?
A. y = - 2/3 x + 10
B. y = - 2/3 x +2.7
C. y = - 2/3 x + 7
D. y = - 2/3 x + 13
pls explain the answer if possible ^^
Answer:
Option C
Step-by-step explanation:
If a line passes through a point, then that point is called a solution to the line's equation. Substituting the x and y values of that solution into the equation will give a true statement. So, to find out which option is correct, we can substitute the x and y values of (-4.5, 10) into each equation and see if the result is a true statement.
Let's try this with option C. To make things easier, convert -4.5 into decimal form: [tex]-4\frac{1}{2}[/tex]. Substitute [tex]-4\frac{1}{2}[/tex] for x and 10 for y in the equation, then solve:
[tex]y = -\frac{2}{3} x+7\\\\10 = -\frac{2}{3} (-4\frac{1}{2} )+7\\10 = -\frac{2}{3} (-\frac{9}{2})+7\\10 = 3+7\\10 = 10[/tex]
10 does equal 10, so this is a true statement. Option C is the right answer.
Find the angle relationship in the table
Answer: i can barely see that if you wanna make another pic i prolly can but i think 4 and 8 are a linear
Step-by-step explanation:
HELP PLEASEEEEE I'll give you a crown
Answer:
8.64%
Step-by-step explanation:
Write it as a decimal
7/81 = 0.0864
0.0864 is the decimal representation for 7/81
For Percentage Conversion :
step 1 To represent 0.0864 in percentage, write 0.0864 as a fraction
Fraction = 0.0864/1
step 2 multiply 100 to both numerator & denominator
(0.0864 x 100)/(1 x 100) = 8.64/100
8.64% is the percentage representation for 7/81
find missing exponents
Mrs. Harris made 37 cookies for a bake sale. She let each of her 3 children have a cookie. She put the rest in baggies with 2 cookies in each bag. Which number sentence can be used to find B, the number of bags of cookies she has for the bake sale?
Answer:
35 PC's baked used has then
Jack and charlie each deposit $17,250 into accounts that earn 6% interest for 6.5 years. Jacks account earns annual compound interest. Who will earn more interest after 6 years, and how much more interest will they earn?
From the amounts found using simple and compound interest formulas, we found that Carlie earns more interest than Jack by $1009.45.
What is the difference between simple and compound interests?
Simple interest is based on the principal amount, which is the main distinction between it and compound interest. Contrarily, compound interest is calculated using the principle sum and interest that has been compounded over the course of a period. Simple interest is a predetermined proportion of the principal amount borrowed or lent that is paid or received over a set period of time. Borrowers are required to pay interest on interest in addition to principal since compound interest accrues and is added to the accrued interest from prior periods.
The complete question is given below.
Given,
The principal amount deposited by both Jack and Carlie P = $17,250
The rate of interest r = 6% = 0.06
The time period = 6.5
Jack's account earns annual simple interest and Carlie's account earns annual compound interest.
So the amount in each person's account after a time period of t = 6 years.
Jack:
Amount = P(1+rt) = 17250 ( 1 + 0.06*6) = $23,460
Carlie:
number of times compounded in a year n = 1
Amount = [tex]P(1 + \frac{r}{n})^{nt}[/tex] = 17250 ( 1+0.06)⁶ = $24,469.45
Therefore from the amounts found using simple and compound interest formulas, we found that Carlie earns more interest than Jack by $1009.45.
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