Answer:
The shortest sides is 12.5.
Step-by-step explanation:
5 + 8 + 11 = 24
60 / 24 = 2.5
So 2.5 * 5 = 12.5
The length of the shortest side of triangle DEF is 12.5 units.
What is a Triangle?Triangle is defined as a basic polygonal shape of a triangle that has three sides and three interior angles. It is one of the fundamental shapes in geometry and is represented by the symbolΔ.
Since triangle ABC is similar to triangle DEF, the ratio of the corresponding sides of the two triangles is the same.
Let x be the length of the shortest side of triangle DEF.
The length of the shortest side of triangle DEF, x, is in the same ratio to the length of the shortest side of triangle ABC, 5, as the other sides of triangle DEF are in relation to the other sides of triangle ABC.
The perimeter of triangle ABC is:5 + 8 + 11 = 24
The perimeter of triangle DEF is 60.
So 60 / 24 = 2.5
So the length of the shortest side: 2.5 x 5 = 12.5
Therefore, the length of the shortest side of triangle DEF is 12.5 units.
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jasons cutting a 2 2/5 meter string into sections that are 3/4. how many sections can he cut
Answer:
3 1/5
Step-by-step explanation:
Okay, this is a standard division problem, so our equation is:
2 2/5 ÷ 3/4
but then we have to covert the mixed number to an improper fraction:
12/5 ÷ 3/4
do the cross thingy:
4/5 x 4/1 = 16/5 = 3 1/5
So Jason can cut 3 1/5 sections or 3 if you round
A young sumo wrestler goes on a special diet to gain weight. The variable w models the wrestlers weight in km after the wrestler has been on a special diet for t months.
w=80+5.4t
How much weight does the wrestler gain every 2 months
Answer:
10.8kg
Step-by-step explanation:
Before he was on the diet he already weighed 80 kilograms, so it is not important to determining how much weight we gains in two months. Instead we need to focus on the 5.4t part of the equation. t represents the number of months so we need to substitute 2 for t and you get
5.4t
5.4(2)
10.8kg
Answer:
10.8 kg
Step-by-step explanation:
Hope this helps!
what is the y-intercept from the point (0,7)
Answer:
7
Step-by-step explanation:
The mean temperature for the first 4 days in January was 3°C.
The mean temperature for the first 5 days in January was 1°C.
What was the temperature on the 5th day
Answer:
it is 4 C
Step-by-step explanation:
because it is the first 4 days of January and it was 3C and on the 5 day it was 1C add it up and you will get 4C
Acreage varies directly with the production in bushels of wheat produced.
In a 20-acre field, 300 bushels of wheat are produced. At this rate, how
many bushels will be produced in a 50-acre field?
Answer:
750 bushels
Step-by-step explanation: 20/300=50/b b=bushels
cross multiply then you get 20b=15000
next you divide 20 by 15000 and you get 750 bushels!
i had the same question just now and figured it out! hope this helped you!
5/9 of the students in a group are male.
5/6 of the female students in the group are right-handed.
Find the smallest possible number of students in the group.
(2 marks)
Answer:
18
Step-by-step explanation:
18 is the smallest number that is wholly divisible by 9 and 6.
The smallest possible number of students in the group is 18.
Given that,
5 by 9 of the students in a group are male. 5 by 6 of the female students in the group are right-handed.Based on the above information, we can say that 18 is the number that should be divisible by 9 and 6.
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Which of the following can NOT be written as an equation? *
A.Half the product of 8 and a number is 5
B.Two minus x plus three
C.Seven times p minus four is ten
D.Three is less than a number and six is four
Answer:
B.
Step-by-step explanation:
An equasion requires an equals sign (=) and B is the only choice written without one.
Hopefully this helps! ^^
a stockbroker charges customers $30 to open an account and $15 per month to manage the account. write an equation to represent the number of months, n, an account has been open if the total cost is $360
Two sides of a triangle measure 17 inches and 9 inches. Which cannot be the length of the remaining side?
Answer: B. 26
Step-by-step explanation:
The options are:
A. 21
B. 26
C. 9
D. 15
Let the third side of the triangle be x.
Since the two sides of a triangle measure 17 inches and 9 inches, therefore we can form a triangle inequality with the figures given. This would be:
x + 9 > 17
x > 17 - 9
x > 8
Also,
x < 9 + 17
x < 26
Therefore, 8 < x < 26
Therefore, the answer is 26.
Answer:
see below
Step-by-step explanation:
Right answer gets brainlist
Answer:
2309
Step-by-step explanation:
V = pi times radius^2 times height
Answer: 2309
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Solving two-step inequalities is much like solving two-step equations. Use
inverse operations to
solve each of the following inequalities.
5x + 8.5 > - 10.3
2x - 10 < 80
Answer:
1) x>-3.76 2) x<45
Step-by-step explanation:
1) 5x+8.5>-10.3
Isolate the variable
Combine like terms/ subtract 8.5 from both sides
5x>-18.8
Divide by sides by 5
x>-3.76Remember, if we were dividing or multiplying by a negative number, we would switch the inequality sign, but here we do not.
2) 2x-10<80
Isolate the variable
Combine like terms/ add 10 to both sides
2x<90
Divide both sides by 2
x<45HELPP MEE PLEASEEEEEE
Answer:
wouldn't it be 5m....??
Help pls!! What is the segment of AC?
Answer:
It's an angle bisector
Step-by-step explanation:
It is between 2 congruent angles therefore bisects those angles
7 1/2 is equal to _____ in radical form?
Answer:
√ 7
.........................
7 1/2 in radical form is √15 / √2 x √15 / √2.
To convert the mixed number 7 1/2 to radical form, we need to rewrite it as an improper fraction and then simplify.
First, let's convert the mixed number to an improper fraction:
7 1/2 = (2 x 7 + 1)/2 = 15/2
Next, we can represent 15/2 in radical form by taking the square root of the numerator and the denominator separately:
√(15/2)² = √15 / √2 x √15 / √2
The square root of 15 cannot be simplified further, so we leave it as √15.
Therefore, 7 1/2 in radical form is √15 / √2 x √15 / √2.
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Write an equation of the line with a slope of −3 and y-intercept of 0.
Answer:
y = -3x
Step-by-step explanation:
Substitute the numbers into the point-slope form equation:
y - 0 = -3(x - 0)
y = -3x
Your department manufacturers 2,150 thermostats in one work and 25 are defective and discarded how many theremostats did your department contribute to inventory for the work
Answer:
2125
Step-by-step explanation:
2150-25=2125
What type of equations could have extraneous solutions?
Answer:
id
Step-by-step explanation:
The square root equations could have extraneous solutions.
What is an extraneous solution?An extraneous solution is a “false” solution to an equation. An extraneous solution does not satisfy the original equation, even though we took seemingly valid steps while solving the equation.
When we solve an equation with containing a radical expression, we have to isolate the radical on one side from all other terms and then square both sides of the equation.
When we square a radical equation we sometimes get a solution to the squared equation that is not a solution to the original equation. Such an equation is called an extraneous solution.
Hence, the square root equations could have extraneous solutions.
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Directions: type the correct answer in each box. Use the numerals instead of words.
For this item, any answer that is not a whole number should be entered as a decimal, rounded to the hundredth.
A sporting good store is having a clearance ale on many of their items. Complete the table by finding the missing values for the following items
Item: soccer Jersey.
original price: $85.75.
Discount: 20%.
Sale price: $___
Item: tennis racket
Original price: $___
Discount: 55%
Sale price: $49.05
Item: Archery Set
Original price: $94.00
Discount: ___%
Sale price: $61.10
Answer:
Jersey: 85.75/100 X 80 = $68.60
Tennis Racket 55% = 49.05, 1%=0.89181818, 100% = 89.1818181 = $89.18
Archery = 94- 61.10 = 32.90, 32.90/94= 0.35
0.35 X 100 = 35%
If x = 4, what is y in: 3x + 4y = 20?
Answer:
y=2
Step-by-step explanation:
3x+4y=20
3*4+4y=20
12+4y=20
4y=20-12
4y=8
y=8/4
y=2
Step-by-step explanation:
The answer is 2, 3*4= 12 and 4*2=8. if you add both of them you get 20.
Help! I need help asap
Answer:
x = √53
Use the pythagorean theorem to solve for x, which would be c in the equation a^2 + b^2 = c^2.
(a and b are the sides that meet up in a right triangle, c is the hypotenuse. In this case, you are solving for the hypotenuse.)
Step-by-step explanation:
1. Plug in the numbers in the pythagorean theorem.
2^2 + 7^2 = c^2 (remember, each variable is squared)
2. Simplify.
4 + 49 = 53
Since each variable in the pythagorean theorem is squared, the side value would be √53.
Jose has six pieces of cardboard to make a triangle frame for a diorama. The lengths are 2 inches, 3 inches, 4 inches, 5 inches, 6 inches, and 7 inches. Which combination will form a triangle?
The possible combination of sides of triangles is
(2 + 3) >4(3 + 4)> 5(5+ 6)>7What is Property of Triangle?In a triangle, the third side must be greater than or equal to the sum of the other two sides. The length of a triangle's third side is always longer than the sum of any two of its sides.
Given sides are 2 inches, 3 inches, 4 inches, 5 inches, 6 inches, and 7 inches.
We know that the third side of a triangle is greater than sum of other two sides.
So, (2 + 3) >4
and, (3 + 4)> 5
and, (5+ 6)>7
Hence, the possible combination of sides of triangles is
(2 + 3) >4(3 + 4)> 5(5+ 6)>7Learn more about triangles here:
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This is algebra 2. Would like an answer ASAP. Thanks! Between the two chunks of numbers, thats a division sign, not an addition sign.
Answer:
Simplified form of [tex]\frac{x+1}{x^2+x-6}\div \frac{x^2+5x+4}{x-2}[/tex] is [tex]\mathbf{\frac{1}{(x+3)(x+4)} }[/tex]
Option A is correct answer.
Step-by-step explanation:
We need to find simplified form of [tex]\frac{x+1}{x^2+x-6}\div \frac{x^2+5x+4}{x-2}[/tex]
Solving the given expression:
[tex]\frac{x+1}{x^2+x-6}\div \frac{x^2+5x+4}{x-2}[/tex]
First we find factors of [tex]x^2+x-6[/tex]
[tex]x^2+x-6 \\= x^2+3x-2x-6\\= x(x+3)-2(x+3)\\=(x-2)(x+3)[/tex]
So, factors of [tex]x^2+x-6[/tex] are [tex](x-2)(x+3)[/tex]
Now, fining the factors of [tex]x^2+5x+4[/tex]
[tex]x^2+5x+4\\=x^2+4x+x+4\\=x(x+4)+1(x+4)\\=(x+1)(x+4)[/tex]
So, factors of [tex]x^2+5x+4[/tex] are [tex](x+1)(x+4)\\[/tex]
Now the given expression will become:
[tex]\frac{x+1}{(x-2)(x+3)}\div \frac{(x+1)(x+4)}{x-2}[/tex]
Now, converting division sign into multiplication sign:
[tex]=\frac{x+1}{(x-2)(x+3)}\times \frac{x-2} {(x+1)(x+4)}\\Cancelling, \:common\:terms\\=\frac{1}{(x+3)(x+4)}[/tex]
So, simplified form of [tex]\frac{x+1}{x^2+x-6}\div \frac{x^2+5x+4}{x-2}[/tex] is [tex]\mathbf{\frac{1}{(x+3)(x+4)} }[/tex]
Option A is correct answer.
8. Divide: (6x² - 4x)+2x
A. 3x - 4x
B. 3x - 2x
C. 6x-2
D. 3x - 2
Answer:
3x-2
Step-by-step explanation:
I think you meant (6x^2-4x) divided by 2x
if it isn't then pls comment what you meant
Help! 15 points + brainliest!
Answer:
1 1/4
Step-by-step explanation:
The tallest flower is 2 1/2 the shortest is 1 1/4
Subtract those
2 1/2 = 2 2/4
2 2/4 - 1 1/4 = 1 1/4
your answer is 1 1/4
Convert 4pi/5 to degrees.
Answer:
To convert radians to degrees, multiply by 180π , since a full circle is 360° or 2π radians. Cancel the common factor of π .
Answer:
144∘
Step-by-step explanation:
4π5⋅180∘π=144∘
use the distributive property to write an equivalent expression.
6(s + 3t)
The half-life of iodine-131 is approximately 8 days. Find the amount of iodine-131 left from a 35 gram sample after 32 days.
Answer:
2.1875 grams
Step-by-step explanation:
32/8=4 times it will divide 1/2
35/2=17.5
17.5/2=8.75
8.75/2=4.375
4.375/2=2.1875
CAN SOMEONE HELP ME DO THIS PROBLEM QUICK ILL GIVE BRAINLIEST
[tex]\sqrt[3]8/{27}[/tex]
Solve the absolute value equation l2x - 1l = 15
Help pls!! Which technique below will help you find the balance point or center of gravity?
Answer:
I'm taking an educated guess here and saying that its option two.
I haven't done these problems in almost two years.