Answers
[tex]\bold{\huge{\underline{ Solution \:1}}}[/tex]
Here, We have given
The sides of a triangle are 8 , 15 and 18 The one of the side of the similar traingle is 10.Let assume the given triangle as ΔABC and ΔXYZ
According to the similarity theorem
If two triangle's are similar then the ratio of their corresponding sides are also equal .Therefore, By using above theorem :-
[tex]\sf{\dfrac{ A}{X}}{\sf{=}}{\sf{\dfrac{ B}{Y}}}{\sf{=}}{\sf{\dfrac{ C}{Z}}}[/tex]
Subsitute the required values
[tex]\sf{\dfrac{ 8}{10}}{\sf{=}}{\sf{\dfrac{ 15 }{Y}}}{\sf{=}}{\sf{\dfrac{18}{Z}}}[/tex]
For other two sides of another similar triangle
[tex]\sf{\dfrac{ 8 }{10}}{\sf{=}}{\sf{\dfrac{ 15}{Y}}}[/tex]
[tex]\sf{Y =15}{\sf{\times{\dfrac{ 10}{8}}}}[/tex]
[tex]\sf{Y =15}{\sf{\times{\dfrac{ 5}{4}}}}[/tex]
[tex]\sf{Y = }{\sf{\dfrac{ 75}{4}}}[/tex]
[tex]\bold{Y = 18.75 }[/tex]
And,
[tex]\sf{\dfrac{ 8 }{10}}{\sf{=}}{\sf{\dfrac{ 18}{Z}}}[/tex]
[tex]\sf{Z =18 }{\sf{\times{\dfrac{ 10}{8}}}}[/tex]
[tex]\sf{Z =18}{\sf{\times{\dfrac{ 5}{4}}}}[/tex]
[tex]\sf{Z = }{\sf{\dfrac{ 90}{4}}}[/tex]
[tex]\bold{Z = 22.5 }[/tex]
Hence, The two sides of the another similar triangle is 18.75 and 22.5
[tex]\bold{\huge{\underline{ Solution \:2}}}[/tex]
Here, We have
Two similar triangles Whose sides are 4 , 12 ,20 and 5 , 15 , 25Let assume the two triangle be ΔABC and ΔPQR
According to the similarity theorem :-
If two triangle's are similar then the ratio of their corresponding sides are also equal .That is,
[tex]\sf{\dfrac{ A}{P}}{\sf{=}}{\sf{\dfrac{ B}{Q}}}{\sf{=}}{\sf{\dfrac{ C}{R}}}[/tex]
Subsitute the required values,
[tex]\sf{\dfrac{4 }{5}}{\sf{=}}{\sf{\dfrac{ 12}{15}}}{\sf{=}}{\sf{\dfrac{ 20 }{25}}}[/tex]
[tex]\sf{\dfrac{4 }{5}}{\sf{=}}{\sf{\cancel{\dfrac{ 12}{15}}}}{\sf{=}}{\sf{\cancel{\dfrac{ 20 }{25}}}}[/tex]
[tex]\bold{\dfrac{4 }{5}}{\sf{=}}{\bold{\dfrac{ 4}{5}}}{\sf{=}}{\bold{\dfrac{ 4 }{5}}}[/tex]
Hence, The scale factor of the given similar triangles is 4/5
[tex]\bold{\huge{\underline{ Solution \: 3}}}[/tex]
Here, we have given that
A map in Davao City has a scale factor of 1 cm to 0.5 kmThat is, 1 : 0.5But,
We have to find the distance corresponds to an actual distance of 12 km.Therefore,
According to the scale factor
The actual distance will be
[tex]\sf{=}{\sf{\dfrac{ 12 }{0.5}}}[/tex]
[tex]\bold{ = 24 \: km }[/tex]
Hence, The map distance corresponds to actual distance of 12 km is 24 km.
#3 Answer:
The other sides are 18.75 and 22.5
#3 Step-by-step explanation:
Because of the similar triangle
So, [tex]\frac{8}{10}=\frac{15}{x}=\frac{18}{y}[/tex] [tex]\left\{The\ corresponding\ sides\ are\ proportional\right\}[/tex]
[tex]x=18.75,\ y=22.5[/tex]
#4 Answer:
4:5
#4 Step-by-step explanation:
[tex]\frac{4}{5}=\frac{12}{15}=\frac{20}{25}=\frac{6}{5}[/tex]
[tex]So\ the\ scale\ factor\ is\ 4:5[/tex]
#5 Answer:
24 cm
#5 Step-by-step explanation:
[tex]12\div0.5[/tex]
Calculate
[tex]\frac{12}{0.5}[/tex]
Multiply both the numerator and denominator with the same integer
[tex]\frac{120}{5}[/tex]
Cross out the common factor
24
I hope this helps you
:)
Related Questions
Last week the price of apples at a grocery store was $1.60 per pound this week apples at the same grocery store are on sale at 10% discount what is the total price of four and
1/2 pounds of apples this week at the grocery store
Answers
Answer:
0.72
Step-by-step explanation:
first you take 1.60 and find 10 percent of it once you find that you times it by 4.5.
Answer:
$6.48
Step-by-step explanation:
10 = 0.16
1.60-0.16=1.44
1.44x4=5.76
1.44/2=0.72
5.76+0.72=6.48
Solve for x. 8x - 3 and 4x + 3 answer
Answers
After simplifying, your final answer is 3/2. Check the picture above for the work.
Question 20. Describe the graph of the following equation.
Answers
Answer: I'm really sorry its not clear enough for me to answer
Step-by-step explanation:
A school is implementing an SAT preparation program. To study the program's effectiveness the school looks at participantsSAT scores before starting the program and after completing the program . The results are shown in the table. How can the values in the Difference row of the table be interpreted?
A. A positive difference means that the students score increased after the program, and a negative difference means that the students score decreased after the program.
B. A positive difference means that the students score decreased after the program, and a negative difference means that the students score increased after the program.
C. A positive difference means that the program was effective, and any negative differences can be ignored.
D. A negative difference means that the program was effective, and any positive difference can be ignored.
Answers
Answer:
b
Step-by-step explanation:
Option B is correct, A positive difference means that the students score decreased after the program, and a negative difference means that the students score increased after the program.
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
Given that a school is implementing an SAT preparation program.
To study the program's effectiveness the school looks at participants SAT scores before starting the program and after completing the program .
The results are shown in the table.
We need to find the values in the Difference row of the table be interpreted
if we observe the table before value is less and after value is larger, and when we find the difference we get negative value.
A positive difference means that the students score decreased after the program
Negative difference means that the students score increased after the program.
Hence, Option B is correct, A positive difference means that the students score decreased after the program, and a negative difference means that the students score increased after the program.
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5th grade . pls help.
Dorothy is installing purple and
white tile in her kitchen. She made a diagram of the layout
showing the area of both colors. Write two expressions that
describe the area of the purple tile.
Answers
Ann found an orange caterpillar and a green caterpillar in her backyard. The green caterpillar was 3/4 of an inch long and the orange caterpillar was 2/3 of an inch long. How much longer was the green caterpillar than the orange caterpillar? *
Answers
Answer:
[tex]\huge\boxed{\sf \frac{1}{12} \ in.}[/tex]
Step-by-step explanation:
Length of green caterpillar = 3/4 in.
Length of orange caterpillar = 2/3 in.
To find how much longer was the green caterpillar than the orange one, we will subtract the length of orange caterpillar from the green one.Solution:
[tex]\displaystyle = \frac{3}{4} - \frac{2}{3} \\\\LCM = 4 \times \ 3 = 12\\\\= \frac{(3 \times 3 ) - (2 \times 4)}{12} \\\\= \frac{9-8}{12} \\\\= \frac{1}{12} \ in.\\\\\rule[225]{225}{2}[/tex]
Two rectangles are similar. The first is 16 feet wide and 20 feet long. The second is 80 feet wide. What is the length of the second rectangle?
Answers
Answer:
100 feet long
Step-by-step explanation:
Answer:
length of second rectangle is
100 feet
The equation l 7x-1 l= 10 is equivalent to
or
Answers
Answer:
NO!
Step-by-step explanation:
b/equivalent fraction is two fraction exactly the same solution set!but this no the same solution set!
7x_ 1=10
6x/6=10/6
x=1.666667
so,No!
Dana wants to build a rectangular pen for her goats. The length of the pen should be at least 50 feet, and the perimeter of the pen should be
no more than 190 feet.
Answers
The width of the pen must not be less than 45 feet
Perimeter of the penThe formula for calculating the perimeter of a rectangle is expressed as:
P = 2(l + w)
Given the following
P = 190feet
l = 50feet
Required width
190 = 2(50 + w)
95 = 50 + w
w = 45
Hence the width of the pen must not be less than 45 feet
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(8x+6) (10x+9y) 73° 110°
Answers
Answer:{x,y}={-1,-4}
Step-by-step explanation:
[2] 8x = 4y + 8
[2] x = y/2 + 1
// Plug this in for variable x in equation [1]
[1] 10•(y /2+1) - 9y = 26
[1] - 4y = 16
// Solve equation [1] for the variable y
[1] 4y = - 16
[1] y = - 4
// By now we know this much :
x = y/2+1
y = -4
// Use the y value to solve for x
x = (/2)(-4)+1 = -1
What is smaller than 1/4 but greater than 1/2 pls help
Answers
Answer: 3/8
Step-by-step explanation:
cuz it is
Write an inequality for the situation The value, v, of the necklace is greater than $83
Answers
Answer:
v > 83
Step-by-step explanation:
V: represents the necklace
83: V must be greater than 83
>: greater than symbol
Have a great day!
Please mark brainliest!
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Answers
Step-by-step explanation:
What's the link for tho?
Answer:
fr
Step-by-step explanation:
me
can someone help me , what is 525 x 358 ?
Answers
Answer:
187,950
Step-by-step explanation:
your welcome
what is the probability that a randomly chosen number is less than or equal to 90 and is a multiple of 17
Answers
Answer:
let's see...
we have total possible outcomes.. = 90 ( from 1 to 90)
Desiree outcomes..= 5 ( 17,34,51,68,85)
and therefore.. the probability is 5/90 = 1/18.
here you go.. that should be correct I hope.
Find the surface are of the triangular prism
A. 315 in
B. 539 in
C. 469 in
D. 784 in
Answers
Answer:
i think ur answer is c option
Reasons: took the test
If x=3 what is the value of y in this equation?
Y=12x
a. 123
b. 36
c. 3
d. 15
Answers
Answer:
[tex]\displaystyle \large{y=36}[/tex]
Step-by-step explanation:
We are given the equation [tex]\displaystyle \large{y=12x}[/tex]. To find y-value when or at x = 3, simply substitute x = 3 in which gives us [tex]\displaystyle \large{y=12(3)}[/tex] then evaluate the value as we obtain the y-value or final answer to the question:
[tex]\displaystyle \large{\boxed{y=36}}[/tex]
If you have any questions about this question or for clarification, do not hesitate to ask in comment!
Shandar rents a pickup truck for her house move. She has to pay $96 for the first day, $88 for each
additional day she keeps the truck, and 45 cents for each mile she drives. She will also be able to use a
$25 coupon. Write an expression that represents the total cost when Shandar keeps the truck for h days
and travels a total of p miles.
Answers
Answer:
x = 96 + (88h + 0,45p) - 25
Step-by-step explanation:
Expression that represents the total cost when Shandar keeps the truck for h days and travels a total of p mile x= 71+ 88h +0.45p
What is equation?An equation is a mathematical expression that contains an equals symbol. Equations often contain algebra. Algebra is used in math when you do not know the exact number in a calculation.
Let us consider 'h' the number of additional days
let p be number of miles she drives.
let x be the total cost
Now,
For h days fare will be = 88h
For p miles fare will be = 0.45p
Coupon= $25
Total cost = Charges for first day + fare of additional h days + charges of total p miles- coupon
x = 96 + (88h + 0,45p) - 25
x= 71+ 88h +0.45p
Hence, required equation is x= 71+ 88h +0.45p
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Jessica needs at least 60 units of vitamin A, 40 units of vitamin B, and 140 units of vitamin C each week. She can choose between Costless brand or Savemore brand vitamins. A Costless vitamin costs 5 cents and contains 3 units of vitamin A, 1 unit of vitamin B, and 2 units of vitamin C. A Savemore vitamin costs 7 cents and contains 1 unit of A, 1 of B, and 5 of C. Determine the minimum cost for Jessica to purchase all the vitamins she needs.
Answers
Answer:
$2.40
Step-by-step explanation:
Let x be the number of Costless vitamins and let y be the number of Savemore vitamins. Since we are trying to minimize cost, our objective function represents the cost of buying both Costless and Savemore vitamins. This function is defined by
C(x,y)=0.05x+0.07y
The first constraint is that Jessica needs 60 units of vitamin A and we know that Costless vitamins have 3 units of vitamin A and the Savemore vitamin has 1 unit of Vitamin A. This translates into the following inequality.
3x+y≥60
The second constraint is that Jessica needs at least 40 units of vitamin B and we know that Costless and Savemore vitamins each have 1 unit of vitamin B. This translates into the following inequality.
x+y≥40
The third constraint is that Jessica needs at least 140 units of vitamin C and we know that the Costless vitamin has 2 units of vitamin C and Savemore vitamins has 5 units of vitamin C. This translates into the following inequality.
2x+5y≥140
The fact that x and y must be positive numbers is represented by the following two constraints:
x≥0,y≥0
Using all of this information, our problem is as follows.
Minimize: C(x,y)=0.05x+0.07y
Subject to: 3x+y≥60
x+y≥40
2x+5y≥140
x≥0
y≥0
The corner points are:
(0,60),(70,0),(10,30),(20,20)
To minimize cost, we will substitute these points in the objective function to see which point gives us the lowest number. The results are listed in the table below.
The point (20,20) gives lowest cost: $2.40 .
A peach grower expects to produce 13,400 peaches if a crate holds 92 peaches how many crates will the grower need?
Answers
146 crates
13,400 peaches divided by 92 per crate is roughly 145.65 crates. You can’t have part of a crate so round up to get 146 crates
Answer for ( f^-1 )
Answers
Answer:
Changes made to your input should not affect the solution:
(1): "^-1" was replaced by "^(-1)".
STEP
1
:
Final result :
f(-1)
Step-by-step explanation:
PLease tell me if right
IF YOU ANSWER THIS I WILL MARK YOU THE BRAINLIEST
Answers
Answer:
The second I think I may be wrong though.
Step-by-step explanation:
It looks like the answer and it is the right one.
_______ marshes are the most diverse.
brackish
freshwater
salt
estuary
Answers
The brackish marshes are the most diverse.
What are Brackish Marshes?These are the sectors that are found in the estuaries that border the coasts, which is why they contain fresh and salt water, which is usually called brackish, where a great diversity of animals live, both salt water and adaptable to brackish water.
Within the fauna of this sector, you can find the archer fish, the Monodactylus argenteus and Scatophagus argus.
If you want to learn more about Marshes, you can visit the following link: https://brainly.com/question/17326027
Answer: freshwater
Step-by-step explanation: Edge 2022 states this
Tina baked some cookies. 12 of her cookies were peanut butter. 12 of the peanut butter cookies also had chocolate chips. What fraction of the cookies were peanut butter and had chocolate chips?
Answers
Answer:
12/12 or 1
Step-by-step explanation:
Tina baked 12 peanut butter cookies, and it is said that 12 of them had chocolate chips. So, we can make a fraction, being 12/12
What is x' value when 5x=10?
Answers
Answer:
x=2 because 5*2=10
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
5x = 10
or, x = 10/5
or, x = 2 :)) (would love if you could mark me the brainliest)
solve the equation e^3x-4=3
Answers
Explanation:
e^3x = 3 + 4
e^3x = 7
3x = In (7)
X = 0.648637
We are given with a equation i.e ;
[tex]{:\implies \quad \sf e^{3x}-4=3}[/tex]
Transpose 4 to Right-Hand-Side ;
[tex]{:\implies \quad \sf e^{3x}=7}[/tex]
Now , Taking Natural logarithm to both sides ;
[tex]{:\implies \quad \sf ln(e^{3x})=ln(7)}[/tex]
[tex]{:\implies \quad \sf 3x \: ln(e)=ln(7) \quad \qquad \{\because ln(a^{b})=b\: ln(a)\}}[/tex]
[tex]{:\implies \quad \sf 3x=ln(7) \quad \qquad \{\because ln(e)=1\}}[/tex]
[tex]{:\implies \quad \bf \therefore \quad \underline{\underline{x=\dfrac{ln(7)}{3}}}}[/tex]
angle abc and angle cbd are supplementary angles the measure of angle cbd is 41 degrees what is the measure of angle abc
Answers
Answer:
139
Step-by-step explanation:
180-41=139
If Hailey divides 150 ounces of sports drink with her volleyball team equally into 12 bottles, what is the weight of sport drink in one bottle?
Answers
Answer:
12.5 oz
Step-by-step explanation:
150 oz / 12 = 12.5 oz
ABCD is rotated counterclockwise about the origin. By how many degrees
was ABCD rotated?
A. 360 °
B. 90°
C. 180°
D. 270°
Answers
Answer:
image please
Step-by-step explanation:
What is the radius of a circle (rounded to the nearest tenth) that has a circumference of 87 cm?
a
Answers
Answer:
13.9
Step-by-step explanation:
Answer:
To find the radius from the circumference of a circle, you have to do the following:
Divide the circumference by π, or 3.14 for an estimation. The result is the circle's diameter.
Divide the diameter by 2.
There you go, you found the circle's radius.
hace 6 días
