The pair of figures to the right are similar. Compare the first figure to the second. Give the ratio of the perimeters and the ratio of the areas .
Answers
Given:
The pair of similar triangles.
Base of smaller triangle = 10 in
Base of larger triangle = 14 in
To find:
The ratio of the perimeters and the ratio of the areas.
Solution:
Ratio of perimeter of similar triangles is equal to the ratio of their corresponding sides.
[tex]\text{Ratio of perimeters}=\dfrac{10\ in.}{14\ in.}[/tex]
[tex]\text{Ratio of perimeters}=\dfrac{5}{7}[/tex]
[tex]\text{Ratio of perimeters}=5:7[/tex]
The ratio of area of similar triangles is equal to the ratio of squares of their corresponding sides.
[tex]\text{Ratio of areas}=\dfrac{(10)^2}{(14)^2}[/tex]
[tex]\text{Ratio of areas}=\dfrac{100}{196}[/tex]
[tex]\text{Ratio of areas}=\dfrac{25}{49}[/tex]
[tex]\text{Ratio of areas}=25:49[/tex]
Therefore, the ratio of the perimeters is 5:7 and the ratio of the areas 25:49.
Related Questions
50 m
50 m
h
28 m
Find the area of the isoceles triangle.
The area is
square meters.
Answers
Answer:
700 m^2
Step-by-step explanation:
If the height is 28, and the base is 50, do the triangle area formula for the area.
1/2 28 * 50 = 14 * 50 = 700
Answer:
I believe it should be 700
Step-by-step explanation:
Formula: B times H times 1/2
These four numbers are plotted on a number line:
3
1
2 5
38
Which is the correct ordering on the number line, from right to left?
1
2
2
3
1
1
2
3
5'
2
3
3
5
8
5
3
2
5
1
2
Answers
Answer:
the correct ordering to the number line it is from left to the right
This is a true or false question but I’m not sure how to solve this problem.
Answers
Answer: yes true or false
Step-by-step explanation: 7 true, 8 true, and 9 false
To determine the organic material in a dried lake ted, the percent carbon by mass is measured at two different locations. In order to compare the means of the two different locations, it must first be determined whether the standard deviations of the two locations are different.
Location1(%C) Location2(%C)
1 10.40 10.10
2 10.20 10.90
3 10.30 10.20
4 10.40 10.70
5 10.20 10.40
a-1. Far each location, calculate the standard deviation and report it.
- location 1: _____
- location 2: _____
a-2. What is the calculated F value for comparing the standard deviation?
b. Are the two standard deviations for the locations significantly different at the 95% confidence level?
A. yes.
B. No.
c. What is the calculated t value used to compare the means of these two locations?
d. Are the means for the two different locations significantly different at the 95% confidence level?
A. yes.
B. No.
Answers
Answer:
a-1.- location 1: =0.01- location 2: =0.113
a-2. F= 0.08849
b. A. yes.
c. t= -1.020
d. B. No.
Step-by-step explanation:
Location1(%C) Location2(%C)
x x² y y²
1 10.40 108.16 10.10 102.01
2 10.20 104.04 10.90 118.81
3 10.30 106.09 10.20 104.04
4 10.40 108.16 10.70 114.49
5 10.20 104.04 10.40 108.16
∑ 51.5 530.49 52.3 547.51
x`= ∑x/n1 = 51.5/5= 10.3; y`= ∑y/n2= 52.3/5= 10.46
Sx² = 1/n1-1[ ∑x² - (∑x)²/n1] = 1/4[ 530.49 - (51.5)²/5]
= 1/4[ 530.49 - 530.45] = 0.01
Sy² = 1/n2-1[ ∑y² - (∑y)²/n2] = 1/4[ 547.51 - (52.3)²/5]
= 1/4[ 547.51 - 547.058] = 0.113
F= Sx²/Sy²= 0.01/0.113= 0.08849
The critical region is F ≥ F(0.025) (5,5)= 7.15
and F ≤ 1/F(0.025) (5,5) = 1/7.15= 0.13986
Since the calculated value of F =0.08849 falls in the critical region we conclude that the two standard deviations for the locations significantly different at the 95% confidence level.
c. t= x1`-x2`/ sqrt ( s₁²/n₁ + s₂²/n₂)
t= 10.3-10.46/ sqrt( 0.01/5 +0.113/5)
t=- 0.16/0.15684
t= -1.020
d. The calculated value t= -1.020 does not fall in the the critical region
t (0.025) (4) = ±2.776 we conclude that the means for the two different locations are not significantly different at the 95% confidence level.
PLS HELP QUICK! Thanks
Answers
Answer:
dddd
Step-by-step explanation:
Create a list of steps, in order, that will solve the following equation. PLEASE HELP WILL GIVE BRAINIEST!!!
Answers
Answer:
Add one to both sides
Multiply both sides by 4
Take the square root of both sides
subtract 5 from both sides
Step-by-step explanation:
Helpppp!!!! ASAP!! Please???!
Answers
Answer:
c 111 mark me
Step-by-step explanation:
and ur welcome lol
Answer:
105
Step-by-step explanation:
if it true i add 65 +40 =105 so yeah
The median and mean scores for a math test are shown.
Which distribution of scores would best account for the difference in the median and mean?
Median Score: 82%
Mean Score: 70%
Answers
Answer:
A? I think
Step-by-step explanation:
2) What is the value of y?
A) 2 B) 10 C)9 D)12
(geometry)
Answers
Answer:
D) y = 12
Step-by-step explanation:
One can use the angle bisector theorem to solve this problem. The angle bisector theorem states:
[tex]\frac{a_1}{b}=\frac{a_2}{c}[/tex]
Where ([tex]a_1[/tex]) and ([tex]a_2[/tex]) are a part of the side that is intersected by the angle bisector and ([tex]b[/tex]) and ([tex]c[/tex]) are the other two sides in the triangle. Substitute in the given values and solve for the unknown.
[tex]\frac{4}{8}=\frac{6}{y}[/tex]
Simplify,
[tex]\frac{1}{2}=\frac{6}{y}[/tex]
Cross products,
[tex]12=y[/tex]
WILL MARK BRAINLEST PLS HELP
Answers
4x= 150-2
4x= 148
x=148/2
x= 37
Solve the inequality. |2x-6|+7 less than 15
Answers
Answer:
− 1 < x < 7
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Hope this helps.
the washington family is applying for a loan to purchase a new home, in order to qualify the must have a net worth greater than $100,000
Answers
Answer:
yes the answer is definitely C
Find the volume of the cone in terms of pi. A cone with a radius of 5 feet and a height of 12 feet.
Answers
Answer:
V = [tex]\pi[/tex]r^2 x height
Step-by-step explanation:
Find the volume of the cone in terms of π. A cone with a radius of 5 feet and a height of 12 feet.
Answer:-Given:-Radius (r) of the cone = 5 feet.
Height (h) of the cone = 12 feet.
To Find:-The volume of the cone.
Solution:-We know,
Formula of Volume of Cone is [tex] \frac{1}{3} [/tex]πr²h
Volume of the cone = [tex] \frac{1}{3} [/tex]× π × (5)² × 12
Volume of the cone = [tex] \frac{1}{3} [/tex]× π × 5 × 5 × 12
Volume of the cone = [tex] \frac{\pi \: × \: 5 \: × \: 5 \: × \: 12}{3} [/tex]
Volume of the cone = [tex] \frac{300\pi}{3} [/tex]
Volume of the cone = 100π in³
Volume of the cone is 100π in³.
Hence, option (d) 100π in³ is correct. [Answer]Each month, a phone company charges $20 for 500 minutes of talking time plus $0.45 for each additional minutes. Unlimited texting costs $30 more. Choose an expression to show the cost of a talk-and-texting plan for one month, given x minutes over 500
A. 0.45 + 50x
B. 50 + 0.45x
C. 30 + 20x
D. 500 + 50 + 0.45x
Someone please help on this question
Answers
Answer:B
Step-by-step explanation:If 500 minutes of talk = 20 and texting = 30 and each additional minute of talk = 0.45 then the bill would be (for B = total cost)
The local scouting club is doing a car wash fundraiser. If
they charge $8 per car, which table below describes how much
they will earn for every 4 cars washed?
Answers
Answer:
Step-by-step explanation:
8x4 32
32 bucks
A sandwich shop sells sandwiches for $3.75 each, including tax.
The shop received a total of $90.00 from the sales of
sandwiches one afternoon.
Write an equation that can be used to determine the number
of sandwiches, x, sold by the sandwich shop that afternoon.
Answers
3.75 times x = 90
90 divided by 3.75= 24
mark brainliest if right
20% of the 65 coffee mugs at Toby's Pancake House are dirty. How many dirty are there at the pancake house? pls answer asap for brainliest
Answers
Answer:
13
Step-by-step explanation:
20% of 65 = 0.2 * 65 = 13
You turn the 20% into a decimal 0.2 then you just do 0.2*65. = 13 and you get 13
If AB is 150 then P equals?
Answers
Answer:
Wouldn't P be something less or equal to an acute angle? Try 75°.
Answer:
its 300∘ I got it right
Write an expression for "the sum of a and four".
Please help!!
10 POINTS
Answers
Answer5:
Step-by-step explanation:
Answer:
4+a=x
Step-by-step explanation:
sum means addition of two or more terms so if the sum of a and four is the question, I represented the result with x cause it is unknown but the question is. Thank you
Given f(x)=x^2−5x and g(x)=2x+1, find (f+g)(−3).
Answers
Answer:
19
Use the given functions to set up and simplify
Drag each expression to the correct location on the table.
e each algebraic expressions next to its corresponding verbal description.
Answers
Answer:
5 times the cube of x divided by 4 times x answer is the first one from the left 5x³-4/x. the quotient of the difference of 5 times x cubed and 4 and x the answers is 5x³-4x/ the third one from the right. the cube of the difference of 5 times x and 4 the answer is the middle one
levi was designing a kite. he needs to determine the measure of
Answers
The measure of angle A is 86.
What is a kite?A kite is a flying object that is tethered to the ground by a string or a cord. It typically has a light framework of bamboo, plastic, or other materials, covered with paper or fabric, and often in the shape of a diamond or triangle.
We have,
From the figure,
We see that,
6x + 4 + ∠A = 180
Now,
∠A = 4x + 26
So,
6x + 4 + 4x + 26 = 180
10x + 30 = 180
10x = 180 - 30
10x = 150
x = 15
Now,
∠A = 4x + 26 = 4 x 15 + 26 = 60 + 26 = 86
Thus,
The measure of angle A is 86.
Learn more about kite here:
https://brainly.com/question/31239785
#SPJ3
The complete question:
Levi was designing a kite. he needs to determine the measure of angle A.
what is the value of the expression below?
5/9 / 1 2/3 x 3 3/5
A: -1 1/5
B: 1 1/5
C:-1/3
D: -3 1/3
No links
Answers
Answer:
B) 6/5 or 1 1/5
Step-by-step explanation:
5/9 ÷ 5/3 × 18/5 = 5/9 × 3/5 × 18/5 = 6/5
URGENT PLEASE HELP The perimeter of AJKL is 106. Find the length of
midsegment ST.
J
5x +7
S
3x +3
4x-1
(not drawn to scale)
K
A
17
B
15
16
D
18
Answers
Answer:
16
Step-by-step explanation:
3x+3+3x+3+5x+7+4x-1+4x-1=106
19x+11=106
19x=95
x=5
JL=5(5)+7=32
ST=1/2 of JL = 1/2 of 32 = 16
The length of midsegment ST will be 6. The perimeter of the triangle is given.
What is perimeter?It's the sum of length of the sides used to make the given figure.
The perimeter of AJKL is 106;
⇒KS+SJ+JL+LT+TK=106
⇒3x+3+3x+3+5x+7+4x-1+4x-1=106
⇒19x+11=106
⇒19x=95
⇒x=5
The side JL is obtained by,x=5
JL=5x+7
JL=5×(5)+7
JL=32
The side ST is obtained
ST=(1/2)×JL
ST= 1/2 of 32
ST = 16
Hence, the length of midsegment ST will be 16.
Learn more about perimeter refer:
https://brainly.com/question/10466285
#SPJ2
What are the ordered pairs of the
solutions for this system of equations?
f(x) = x2 – 2x + 3; f(x) = -2x + 12
Answers
Answer:
Step-by-step explanation:
I WILL AWARD BRAINLIEST !!!!!urgent pls help!!!!!! the width of a pool table is x feet and the length is 3 feet longer than the width. write a polynomial A(x) to represent the area of the pool table. find a (4)
Answers
Answer:
28
Step-by-step explanation:
A(x) = x * (x + 3)
= x^2 + 3x
A(4) = 4^2 + 3(4)
= 16 + 12
= 28
Answer:
a(4)=4^2+3(4)
a(4)=16+12
a(4) =28 ft ^2
The area (in square inches) of a rectangle is given by the polynomial function A(p) = p2 + 9p + 20. If the length of the rectangle is (p + 5) inches, what is the width?
Answers
Answer:
[tex]Width = p + 4[/tex]
Step-by-step explanation:
Given
[tex]Area = p^2 + 9p + 20[/tex]
[tex]Length = p + 5[/tex]
Required
Determine the width
The area of a rectangle is:
[tex]Area = Length * Width[/tex]
This gives:
[tex]p^2 + 9p + 20= (p+5)* Width[/tex]
Expand
[tex]p^2 + 4p + 5p + 20= (p+5)* Width[/tex]
Factorize
[tex]p(p + 4) + 5(p + 4)= (p+5)* Width[/tex]
[tex](p + 5) (p + 4)= (p+5)* Width[/tex]
Divide both sides by p + 5
[tex]p + 4= Width[/tex]
[tex]Width = p + 4[/tex]
Jeff has a square piece
Answers
Answer:
Interesting statement
Answer:
and then Jeff says "my name a Jeff"
Find the inflation rate from 1992 to 1993 . Assume that all prices have risen at the same rate as the CPI.
The inflation rate was about
nothing%.
Answers
69,420
69,420
69,420
69,420
69,420
69,420
69,420
69,420
69,420
69,420
69,420
69,420|
69,420
plssss help can i have a discord and call me plssss
Answers
Answer:
1/24
Step-by-step explanation:
SHAWTYYY THIRSTY
Answer:
21/24-20/24=1/24
Step-by-step explanation:
Make the denominators same by multiplying the fraction with a number that will make the denominators equal i.e 3 for first fraction and 4 for the second fraction.