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
Learn more about Pythagoras's theorem here:
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3. If 480 movie tickets were sold on Saturday,
how many were child tickets?
Child= 15%
Adult= 75%
Senior=10%
Answer:
72 child
369 adult
48 senior
Each train car holds 71 passengers. About how many train cars
would be needed to carry 567 people?
567/71 because passengers/(train cars/passengers) = train cars
71 x 7 = 497 (not enough)
71 x 8 = 568 (enough)
Answer: 8 train cars
Dilations map lines to lines.
true or false ?
Answer:
true
Step-by-step explanation:
Weight is a measure of force affected by gravity. The Moon's
gravity is less than Earth's gravity, so objects weigh less on
the Moon than on Earth.
Using the information provided, how much do you think
a cat will weigh on the Moon? Explain your reasoning.
Tell it step by step
I think I need to know what the cat weighs first...
How many grams are contained in 0.54 moles of calcium?
The number of grams present in 0.54 moles of calcium is; 22 g
We are given;
Number of moles; n = 0.54 moles
Now, Molar mass of calcium is;
M = 40.1 g
Formula for number of moles is;
n = m/M
Where;
n is number of moles
m is mass in grams
M is molar mass
Thus;
0.54 = m/40.1
m = 40.1 × 0.54
m = 21.654 g
Approximately m = 22 g
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Someone help me on B and C!!!!
Answer:
(Answer of part B) First of all diameter of Mars in ordinary number = 6780 kmNow radius = Diameter/2 = 6780/2 = 3390 So radius of Mars in ordinary number = 3390 km(Answer of part C) Mass of earth = 5.97 × 10³⁴ Mass of mercury = 3.3 × 10²³Difference between the masses of Earth and Mercury = (5.97 × 10³⁴) - (3.3 × 10²³) = 2.67 × 10¹¹So, difference = 2.67 × 10¹¹Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
Pleeeeeeeeeeaaaaaaaaaaase help
Answer:
its 100
Step-by-step explanation:
The question is asking what is ∠ABD, you have to look at when A=0 on the projector, so if you follow along the 0° from A, when it reaches D, the project reads 100°
no guessing here,
you know 80° cannot be correct because this angel is obtuse and not acute
which means greater that 90°
You have 400 euros. What is this amount in US dollars?
Help me pls i will mark the best answer brainlist
Answer:
452.38 US dollars.
Step-by-step explanation:
What is the value of the function y= 2x– 3 when X=-1?
-5
-1
2
3
Answer:
-5
Step-by-step explanation:
Determine a series of transformations that would map Figure O onto Figure P.
Answer:
OP question dude..
Step-by-step explanation:
Over Powered
14) When simplified, -2(x + 1) - 4(x - 3) is equivalent to
Answer:
-6x+10
Step-by-step explanation:
-2(x + 1) - 4(x - 3)
Distribute
-2x-2 -4x+12
Combine like terms
-6x+10
Answer:
-6x +10
Step-by-step explanation:
First, open the parenthesis by multiplying the number outside to the terms inside:
-2(x+1) = -2x - 2
-4(x-3) = -4x + 12
then combine the like terms:
-2x - 4x + 12 - 2 = -6x + 10
which expression is equivalent to 2(5 - 3x)
First answer gets Brainliest!
Answer: 10 - 6x
2 x 5 = 10
2 x 3 = 6
therefore: 10 - 6x
I hope this helps!
Answer:
the answer is 10-6x
Step-by-step explanation:
by multiplying 2 by 5 and -3x
u will get ur 10-6x
A company claims that their new bottle holds 25% more laundry soap. If their original container help 48 fluid ounces of soap, how much does the new container hold?
polynomials functions please help
Answer:
Step-by-step explanation:
Polynomial Functions. A polynomial function is a function that involves only non-negative integer powers or only positive integer exponents of a variable in an equation like the quadratic equation, cubic equation, etc. For example, 2x+5 is a polynomial that has exponent equal to 1.
In the figure, parallelogram PQSR and Triangle PQT are standing
on the same base and between, the same parallel lines. The
area of triangle PQT is 50 cm?. Find the area of Triangle PRS.
Answer:
50 cm²
Step-by-step explanation:
We know that PQRS is a paralleogram so we know that RS = PQ.
We also know that ΔPQT and ΔPRS has the same height . The the area is the same, from the area of that we can get 50 cm²
Joshua gets a daily allowance of $30. Each day he spends 60% of it on lunch, 1/2 of the remainder on transport and saves the rest. Calculate the amount he saves each week.
Answer:
$8
Step-by-step explanation:
60% of 30 is 16.
1/2 of 16 is 8.
He has $8 left.
Arnold has a bag of 10 sweets. He eats 9 of them. What fraction of the sweets does he eat?
Answer:
9/10
Step-by-step explanation:
if he has 10 and eats 9 you divide 9 by 10
= 9/10
Arnold eats 9 / 10 fractions of the sweets.
Given that,
Arnold has a bag of 10 sweets. He eats 9 of them. What fraction of the sweets he eat is to be determined.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
What is the fraction?Fraction is defined as the number of compositions that constitutes the Whole.
Here,
Arnold has a bag of 10 sweets
Total sweets = 10
Total sweets that were eaten by Arnold = 9
So,
Fraction = sweets eat / total sweet
Fraction = 9 / 10
Thus, Arnold eats 9 / 10 fractions of the sweets.
Learn more about fractions here:
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#SPJ2
[tex]\bf 2x-4=10[/tex]
Answer:
x = 7
Step-by-step explanation:
Add 4 on both sides to get 2x = 14, then divide 2 on both sides to get x = 7.
Hope this helps :)
BRAINLIEST
I could really use your help
Answer:
12 : 126
Step-by-step explanation:
Dc=28 there for the angle is 28
Step-by-step explanation:
the KL angle is 72
Help I need help ASAP
Percy has a coin collection. He has five pennies for every 33 dimes. If Percy has 1515 pennies what is the total number of coins in his collection?
Answer:
1515
Step-by-step explanation:
The value of a baseball card can be represented by the equation y=3x+39,where x represents the number of years that Robert has owned the card and y represents the total value,in dollars,of the card.What was the value of the card when Robert originally purchased it?
Answer:
Im pretty sure it's $39
Step-by-step explanation:
if x=0 it cancels out leaving y=39
Last week robin ran 15 miles over seven days how many miles did she run per day show or explain how you get your answer
Answer:
2.14
Step-by-step explanation:
15 miles ➗ 7 days = 2.14
A store had 64 hats on stock on friday. They had 48 left on Saturday. The amount went down by 16. PLS HELP!!!
Answer:
if you need to plot what percent they have left its 75%, i you have to plot how much decreased it would be 25%> Hope this helped!
Step-by-step explanation:
Find the measure of each angle indicated.
Step-by-step explanation:
92°
as the has given pair of angle is Alternate Exterior angle so they have same values.
HOPE THIS ANSWER HELPS YOU DEAR! TAKE CARE
PLEASE HELP, DUE TOMORROW
Please help me with this homework
Step-by-step explanation:
we see f(x), which is |x|.
and we see g(x), which is clearly the same basic graph, it is just shifted 3 units down in y direction.
shifts are simply done by keeping the original function definition and then add it subtract a certain constant that then adapts every original functional value.
so, a shift down by 3 units is done by adding -3.
therefore, C is the correct answer (the original f(x) - 3).
A plane flies 510 kilometers with a bearing of 316° from Naples to Elgin (see figure). The plane then flies 720 kilometers from Elgin to Canton (Canton is due west of Naples). Find the bearing of the flight from Elgin to Canton. (Round to the nearest whole number.)
Answer:
#carryonlearning
Step-by-step explanation:
#carryonlearning
Ty factored 24a + 36c and got an answer of 3(8a + 12c). Did Ty factor correctly?
If not, explain what he did wrong and correct his mistake.
No he did not factor correctly. He needed to factor completely which would get 12(2a+3c)
find the length of segment AB
Answer:
26
Step-by-step explanation:
AB=CB so
3x+8=7x-16
-4x=-24
x=6
then plug that x value into the length which is 3x+8
so 3(6)+8=18+8=26