The right triangle is assumed to be inscribed in the rectangle, such that
hypotenuse is the diagonal of the rectangle.
The length of the hypotenuse of the triangle is 26 cm.Reasons:
Let x and y represent the length of the sides of the rectangle
Whereby the base and height of the right triangle are the same as the
length and width of the rectangle, we have;
Perimeter of the rectangle = 2·x + 2·y = 68
Therefore;
[tex]\displaystyle x + y = \frac{68}{2} = 34[/tex]
x + y = 34
The base of the right triangle = x
The height of the right triangle = y
By Pythagoras's theorem, the length of the hypotenuse side = √(x² + y²)
Therefore; Perimeter of the right triangle = x + y + √(x² + y²) = 60
Which gives;
∴√(x² + y²) = 60 - (x + y) = 60 - 34 = 26
The length of the hypotenuse side, √(x² + y²) = 26 cm
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solve pls brainliest
Answer:
1/4
Step-by-step explanation:
The constant of proportionality is 1/4.
Answer:
b
Step-by-step explanation:
The form of an equation representing proportion is
y = kx ← k is the constant of proportionality
y = [tex]\frac{1}{4}[/tex] x ← is in standard form
with k = [tex]\frac{1}{4}[/tex]
4. Elie took $200 to spend during summer vacation. She spent $32 a day for 5 days. Then she bought gelato for her and three friends for $6 each. How much did she have left at the end of the trip?
Answer:
$16
Step-by-step explanation:
32×5=160
6×4=24
160+24=184
200-184=16
Elie was left with $16 at the end of the trip
What is a expression? What is a mathematical equation? What is Equation Modelling?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
We have Elie who took $200 to spend during summer vacation. She spent $32 a day for 5 days. Then she bought gelato for her and three friends for $6 each.
Assume that she is left with $[x]. Then, we can write the equation as -
x = 200 - {(32 x 5) + (6 x 4)}
x = 200 - {160 + 24}
x = 200 - 184
x = 16
Therefore, Elie was left with $16 at the end of the trip.
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A right triangle has an X exterior angle with a measure of 142° . Can you determine the measures of the interior angles? Explain.
=======================================================
Explanation:
The exterior angle of 142 leads to an interior angle of 180-142 = 38. The adjacent interior/exterior pair of angles always add to 180. So 38+142 = 180. These two angles are supplementary, which is another way of saying they form a straight line.
Since 38 is one of the acute interior angles, the other acute interior angle is 90-38 = 52. The rule is that the acute interior angles of any right triangle always add to 90 degrees (i.e. the angles are complementary).
Lastly, the remaining interior angle is the 90 degree angle itself. All right triangles have exactly one angle that is 90 degrees. The term "right angle" is often used in place of "90 degree angle".
Last year there were 20 girls on the volleyball team. This year the number of girls decreased by 10%. How many girls are on the volleyball team this year?
Answer:
22
Step-by-step explanation:
10% of 20 is 2, so when you add the previous amount and the percentage you end up with 22
Julie spent $15 on 3 headbands. Mary spent $48 on 8 headbands. How much more
did Mary spend per headband?
$5.50
$1
$2.13
$4
Based on the information given, the amount of money that Mary will spend more for the headband will be $1.
Since Julie spent $15 on 3 headbands, the amount per headband will be:
= $15/3 = $5
Since Mary spent $48 on 8 headbands, the amount per headband will be:
= $48/8 = $6
Therefore, we can then calculate the difference between the values that are gotten. This will be:
= $6 - $5 = $1
Therefore, the difference is $1.
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The system of equations y = -2x + 3 and y = x is graphed. What is the solution to the system of equations? ( graph above)
(0,0)
(1,1)
no solution
infinitely many solutions
the answer is y=1x because you have to use rise over run and the y intercept is 0.
Carl was given 15% of his paycheck before Christmas if his paycheck was $545.19 how much did he receive before Christmas
Answer:81.79$
Step-by-step explanation:
Total Value/ Percentage
So in this case it would be 545.19 divided by 25
and you would then get your answer, 81.79$
factor -24a - 16b + 40
Answer:
=8(−3a−2b+5)
Step-by-step explanation:
Rewrite the 40 as 5*8.
Rewrite -16 as 2*8
Rewrite -24 as 3*8
= 3* 8a+2*8b+5*8
8(−3a−2b+5)
Find the area of a triangle with vertices (1, -1), (7,5), (1, 7).
The area of the triangle is 24 square units.
Hope you could get an idea from it.
Doubt clarification - use comment section.
Given that the area of a rectangle can be represented by 5x2-8x-4, write expressions to represent
the length and width of the rectangle. Show all work for credit.
Answer:
length: 5x + 2
width: x - 2
Step-by-step explanation:
Factors of 5
1, 5
Factors of 4
1, 4
2, 2
Sign
one positive, one negative
Factor 5x^2 - 8x - 4
(5x + 2)(x - 2) = 5x^2 - 10x + 2x - 4
(5x + 2)(x - 2) = 5x^2 - 8x - 4
Therefor
length: 5x + 2
width: x - 2
SHOW WORK, please!!!!!!
A pineapple is 7 times as heavy as an orange. The pineapple also weighs 870 grams more than the orange.
What is the total weight in grams for the pineapple and orange?
Answer:
1015 g and 145 gStep-by-step explanation:
Let pineapple = x, orange = y
A pineapple is 7 times as heavy as an orange:
x = 7yThe pineapple also weighs 870 grams more than the orange:
x = y + 870Compare the two equations above:
7y = y + 8706y = 870y = 870/6y = 145Find the value of x:
x = y + 870 = 145 + 870 = 1015[tex]\huge \bf༆ Answer ༄[/tex]
Weight of pineapple :
[tex] \boxed{ \sf1015 \: g}[/tex]
Weight of Orange :
[tex] \boxed{ \sf145 \: g}[/tex]
[tex]꧁ \: \large \bf{ Kaul } \: ꧂[/tex]
PLEASE HELP ME I REALLY NEED HELP!!
Answer:
Yes, based on ASA or AAS
Step-by-step explanation:
Subtract the two angle values of one triangle from 180 to dictate whether the missing angle is equal to the other triangle.
180-63= 117- 45=72
The triangles are equal/congruent because two angles and a side are the same values on both triangles.
Dave owns 15 shares of ABC Mining stock. On Monday, the value of
each share rose $2, but on Tuesday the value fell $5. What is the
change in the value of Dave's shares?
To travol tho
Write an expression to represent.
Answer:
15(2) + 15 (-5) . #45 drop
Step-by-step explanation:
5^-15 rewritten using a positive exponent.
Answer: 1/5 to the power of 15
Please answer lol its math
Answer:
12.5
Step-by-step explanation:
hope it helped
Answer:
12.5
Step-by-step explanation:
Divide 25ft by 2mm
> 25 / 2 = 12.5
find the solution to the following system by substitution
4x+y=40
There are many ways of doing it, but here is mine.
Step-by-step explanation:
x = 6, y = 16
So now you multiply six by four and you will get twenty four plus sixteen, if you add them then you will get forty.
Solve inequality 5x+ 3 divided by 2 > 3x+2
Step-by-step explanation:
divide 3÷2 (5x+1.5>3x+2)
move the terms (5x-3x>2-1.5)
2x>0.5
divide by 2
x=0.25
Julio is buying tickets for a football game from an online retailer. Tickets Inc. charges a fee of 6.75% per ticket and Max Tickets charges a flat fee of 55 per ticket. It
the tickets cost $79.50 each, from which retailer should Julio buy the tickets to pay a lesser ticket fee?
Answer:
Buy from Tickets Inc.
Step-by-step explanation:
Ginny factored 6x2 – 31x – 30 as shown:
ac = –180 and b = 31
36(–5) = –180 and 36 + (–5) = 31
6x2 + 36x – 5x – 30
6x(x + 6) – 5(x + 6)
(x + 6)(6x – 5)
Determine if Ginny factored correctly. If not, explain where she made an error.
Ginny made a mistake in step 1 when she identified b = 31. It should be b = –31.
Ginny was correct until step 3 when she used 36 and –5 as the coefficients of x.
Ginny was correct until step 4 when she incorrectly factored the GCF from 5x – 30.
Ginny factored the trinomial correctly.
Answer:
(a) Ginny made a mistake in step 1 when she identified b = 31. It should be b=–31.
Step-by-step explanation:
The value of b is the coefficient of x. In the given quadratic expression, the coefficient of x is -31, so Ginny should have started with b = -31 in step 1.
Answer:
A
Step-by-step explanation:
3: A farmer keeps cows and pigs on his farm. The ratio of cows to pigs on the farm is 2:3 (a) What percentage of the animals on the farm are cows? (b) What percentage of the animals on the farm are pigs?
Answer:
(a) 40% of the animals are cows.
(b) 60% of the animals are pigs.
Step-by-step explanation:
(a) You have to find the percent of the cows. 2:3 can be written as 2/5 for the cows and you have to figure out x/100.
2/5 = x/100
5*20 = 100
2*20 = x
40 = x
(b) The rest of the animals on the farm are pigs so you have to subtract 40 from 100 for the answer.
100-40 = y
60 = y
Help please ASAP !
the point of concurrency of the angle bisectors of a triangle
Answer: The incenter
Step-by-step explanation:
The incenter is the point of concurrency of the angle bisectors of all the interior angles of the triangle. In other words, the point where three angle bisectors of the angles of the triangle meet are known as the incenter.
pls help 3 x 2 + 6 (4+1) = ???
Answer:
17 IS THE ANSWER......................
Answer:
Your answer should be 36.
How would you rewrite -5 - (-8) as an addition problem?
Answer:
if there are 2 negatives by each other it would become a postive so -5+8
Step-by-step explanation:
Answer:
-5+8
Step-by-step explanation:
minus a negative is equivalent to plus a positive
A train left the station. It traveled 30 miles and dropped off passengers. Then it turned around and traveled 15 miles. Write an integer that shows how far it is from the station.
i fractions what is 2 x 5/8 i need heeeeeeeeeeeeeelp
Answer:
1 . 25 or 5/4 as a fraction
Step-by-step explanation: Hope this helps mark me branliest plssss;)
Answer:
2*5/8 = 5/8 + 5/8
So the answer is 1 and 1/4 :)
Find the circumference of the circle in terms of .
58 in.
a.1161 in.
b. 587 in.
c.232 in.
d. 33647 in.
Answer:
116π
Step-by-step explanation:
Circumference = 2πr
Circumference = 2(58)π
Circumference = 116π
-Chetan K
can someone help me?!!! I need help!! ASAP
Answer:
look at the picture .......................
Solve for x using common denominators.[tex]\frac{3}{4(x+2)}=\frac{x}{(x+2)}[/tex]
[A]-\frac{4}{3}[/tex]
[B]\frac{4}{3}[/tex]
[C]-\frac{3}{4}[/tex]
[D]\frac{3}{4}[/tex]
Step-by-step explanation:
3/(4(x+2)) = x/(x+2)
the common denominator would have to be 4(x+2).
to get the right side to this denominator, we have to multiply numerator and denominator (top and bottom) by 4.
and then we get
3/(4(x+2)) = (4x)/(4(x+2))
and now as both sides are "standing" on the same denominator, we can simply compare only the top parts.
3 = 4x
and therefore we can solve
x = 3/4
and D is then the right answer choice.
A triangle has a height of 6mm and an area of 27mm2. What is the length of the base of the triangle?
Answer:
9 mmStep-by-step explanation:
A triangle has a height of 6mm and an area of 27mm2. What is the length of the base of the triangle?
----
To calculate the area of a triangle, multiply the height by the width (this is also known as the 'base') then divide by 2.
We use the inverse formula
base = 2A : height
2 * 27 : 6 = 9
------------------------
check
6 * 9 : 2 = 27
the answer is good
