Answer:
14
√
2
=
7
√
2
Step-by-step explanation:
An isosceles right triangle is a right triangle with two legs equal in length and has angles of
45
∘
−
45
∘
−
90
∘
.
By Pythagorean Theorem, we know that,
hypotenuse
c
2
=
a
2
+
a
2
,
⇒
c
=
a
√
2
where
c
is the hypotenuse and
a
is the leg.
So for an isosceles right triangle with side length
a
, the hypotenuse has a length of
a
√
2
.
Similarly, if the hypotenuse of an isosceles right triangle has length of
a
, the legs have a length of
a
√
2
or
a
√
2
2
each.
Given that the hypotenuse of the isosceles right triangle
=
14
,
⇒
the length of each leg
=
14
√
2
=
7
√
2
Check :
(
7
√
2
)
2
+
(
7
√
2
)
2
=
196
=
14
2
(OK)
The height (one of the legs) and the hypotenuse of an isosceles right triangle are 40 feet and 40√2 feet, respectively.
What is Pythagoras theorem?In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem.
Given:
The triangle is an isosceles right triangle.
That means, the triangle has two equal sides.
Let, base b = height h.
The area of the triangle = 1/2 x base x height.
800 = (1/2)b²
b² = 1600
b = 40 feet.
Now, using the Pythagoras theorem,
Hypotenuse = √(1600 + 1600)
Hypotenuse = √(3200)
Hypotenuse = 40√2 feet.
Therefore, height = 40 feet and hypotenuse = 40√2 feet.
To learn more about the Pythagoras theorem;
https://brainly.com/question/343682
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calculate the mean
20,15,19,16,10
Answer:
16
Step-by-step explanation:
add all the numbers together and divide by amount of present numbers
Answer:
16
Step-by-step explanation:
20+15+19+16+10= 80
80 divided by 5 is 16
to find the mean you add all of the numbers up and then divide the sum by the number of numbers there are hope this helps have a good rest of your night :) ❤
The breadth of the rectangular firls is 20m less than its length.. Find its dimensions if perimeter is 160 m
Answer: length of the rectangular firls = 50
and the breadth = x-20m= 50-20m =30m
Step-by-step explanation:
The perimeter of a rectangle is given as 2(l+b)
let the length be represented as x
such that the breadth = x-20m
so our expression for the perimeter of the rectangular firls becomes
Perimeter = 2l+ 2b
160= 2x + 2 ( x-20)
160= 2x+ 2x-40
160+40 =4x
200= 4x
x= 200/4
x= 50
So the length of the rectangular firls = 50
and the breadth = x-20m= 50-20m =30m
Answer:
Length =60m
Breadth= 20m
Step-by-step explanation:
Breadth of the rectangular firls = 20m
Perimeter = 160m
Length = X
Perimeter of a rectangle = 2(L +B)
Where L= Length
B = Breadth
160 = 2( 20 + X)
160 = 40 +20X
160- 40 =20X
120= 20X
20X = 120
X = 120/20
X = 60
The dimensions are:
Length =60m
Breadth= 20m
What is the answer HURRY I NEED HELP AND THIS IS DUE TODAY
Answer:
Step-by-step explanation:
D the width is higher than the pressure of it (32h) so that would mean younger 2) 3425 psi of worth
What is the price ofpremium gasoline rounded to the nearestdollar? Rounded to the nearest dime?Rounded to the nearest penny?
Answer:
$4 (nearest dollar) ;
$4.4 (nearest dime) ;
$4.41 (nearest penny
Step-by-step explanation:
The actual price of premium gasoline is $4.409 per gallon.
A penny = $0.01 or 1 cent
A dime = $0.1 or 10 cent
Price of premium gasoline to the nearest dollar :
$4.409 is rounded to the nearest unit = $4
Price of premium gasoline to the nearest penny : = $4.409 is rounded to the nearest hundredth = $4.41
Price of premium gasoline to the nearest dime : = $4.409 is rounded to the nearest tenth = $4.4
i’ll mark brainliest
Answer:
3$
Step-by-step explanation:
2) Solve for y when x=6:
2x + y = 6
Help please
Answer:
y=-6
Step-by-step explanation:
2(6)+y=6
12+y=6
-12 -12
y=-6
Help this is due today and I don’t know how to do it you please show me the steps:)
Answer:
628 inches²
Step-by-step explanation:
the equation for surface area is SA=2(lw+lh+hw) so..
1. 2×(16×14 + 16×3 + 3×14)
2. 2×(224+48+42)
3. 2×314
4. 628
Hope this helps! :)
10. Jacob ran at a rate of 7 miles per hour. At this rate, how far does he run in 30 minutes?
Answer: Jakob will run 3 1/2 miles in 30 min
Step-by-step explanation: you need to take 7 in half because half of an hpur is 30 minutes so half of seven is 3 1/2 so that is the answer
Answer:
3.5 miles
Step-by-step explanation:
1 hour = 60 minutes
Proportions:
7 miles = 60 minutes
J miles = 30 minutes
J = 7*30/60
J = 3.5 miles
Find the absolute value:
5.34 -4 2/11 0
-6 3/5 -2.12 8.2
Answer:
Change the positive numbers to negative and change the negative numbers to positive.
Step-by-step explanation:
I hope this helps u! :D
look at pic below please and figure out inverse tables
Answer:
a -1
b 1
c 3
d 2
no
Step-by-step explanation:
True or not? Id say it is...lm.ao
Answer:
true
Step-by-step explanation:
Answer:
Very good art and I think true
Step-by-step explanation:
g(x) = 4(x - 5) what is g(100)
Answer:
The answer is 380
Step-by-step explanation:
[tex]g(100) = 4(100 - 5) \\ = 4 \times 95 \\ = 380[/tex]
Answer:
g(100) = 380
Step-by-step explanation:
Replace x with the given number; which in this is case is 100
g(100) = 4(100-5)
g(100) = 4(95)
g(100) = 380
hope this is right and helps :)
Lionel has at most 63/8 cups of flour to bake cookies and a cake. Lionel uses 7/4 cups of flour to make the cake. If each batch of cookies takes 3/2 cups of flour, how many batches of cookies, x, can Lionel bake? Select the inequality that includes the maximum number of batches of cookies Lionel can bake.
A. x⊇49/8
B. 49/8⊆x
C. 49/12⊆x
D. x⊇49/12
Answer:
x ≤ 49 / 12
Step-by-step explanation:
Total cups of flour = 63 /8
Cake = 7/4 cups
Cookies = 3/2 cups per batch
Flour left after baking cake :
63/8 - 7/4
(63 - 14) / 8
49 / 8
Batch of cookies which can be baked, x
Flour left / cups of flour per batch of cookies
x ≤(49 / 8) ÷ (3 / 2)
x ≤ (49 /8) * 2/3
x ≤ 98 / 24
x ≤ 49 / 12
What is 43% of 4,000
miss violet is buying granola bars for her students. she already has 16 granola bars in her desk and needs a total of 100 granola bars. they are sold in packs of 12.how many more boxes of granola bars does she need to purchase
Answer:
She needs 7 more boxes.
Step-by-step explanation:
100-16=84
84/12=7
20 POINTS
Solve for p.
98 = 4p + 38
Answer:
98= 4p + 38
4p = 38 - 98
4p = - 60
P = - 60/4
P = -15
Answer:
p=15
Step-by-step explanation:
98=4p+38
(98-38)=4p
60=4p
(60/4)=(4p/4)
15=p
plz help plz I am already failing I dont want to fail more
Answer:
B is the closet to pi hsiebfjwjgsbe9fbe
:Harley read 10 books in January, 15 books in February, 8 books in March
and 7 books in April. What is the average number of books Harley read per
month?
Answer:
I think 10
Step-by-step explanation:
you ad up the books so you would have 10+15+8+7=40. Then you divide by 4 to get the average. So it equals 10.
please help meeeeeee
Answer:
y=2/3x +5
Step-by-step explanation:
to find the gradient
9--1/6--9
10/15
2/3
y-y1=m(x-x1)
y-9=2/3(x-6)
y-9=2/3x-4
y=2/3x+9-4
y=2/3x+5
sally is planning a trip for 225 students
Answer:
yes i understand, but whats next? sorry but i cannot answer it
Step-by-step explanation:
Factor the expression
27 - 9x + 15y
Answer:
-3(3x-5y-9)
Step-by-step explanation:
geometry help it’s easy!!!
Answer:
c
Step-by-step explanation:
Answer:
θ = 41.81°
Step-by-step explanation:
Given
[tex]\frac{2}{3}[/tex] = sinθ , then
θ = [tex]sin^{-1}[/tex] ( [tex]\frac{2}{3}[/tex] ) ≈ 41.81°
Can someone help me please
Answer:
[tex] \sqrt{} \frac{1}{49} = \frac{1}{7} [/tex]
Which statement best explains the relationship
between lines FG and HJ?
O They are perpendicular because their slopes are
equal.
O They are perpendicular because their slopes are
negative reciprocals.
O They are not perpendicular because their slopes are
equal.
O They are not perpendicular because their slopes are
not negative reciprocals.
Answer
They are perpendicular
Step-by-step explanation:
I got it right on my test
What is this (-43)+37+33
Answer:
27
Step-by-step explanation:
Answer:
27.
Step-by-step explanation:
(-43)+37+33
= 37 + 33 - 43
= 70 - 43
= 27.
Please answer!
Find the lengths of the segments with variable expressions.
Answer:
EF = 8
Step-by-step explanation:
The midsegment EF is half the sum of the parallel bases , that is
x = [tex]\frac{x-5+2x-3}{2}[/tex] ( multiply both sides by 2 to clear the fraction )
2x = 3x - 8 ( subtract 2x from both sides )
0 = x - 8 ( add 8 to both sides )
8 = x
Thus
EF = x = 8
AD = x - 5 = 8 - 5 = 3
BC = 2x - 3 = 2(8) - 3 = 16 - 3 = 13
What is the slope of the line shown below?
Answer:
2/3
Use the rise over run formula and then simplify
Answer:
D
Step-by-step explanation:
Slop formula: m = (y2 - y1)/(x2 - x1)
First coordinate: (-3, -7)
Second coordinate: (9, 1)
m = (1- (-7) ) / (9 - (-3) )
m = (1 + 7) / (9 + 3)
m = (8)/(12)
m = 2/3
Lucas wants to prove that the base angles of any isosceles triangle are
congruent. He has drawn ADEF as shown. Which choice shows a segment
that does NOT subdivide ADEF into two congruent triangles?
Answer:
EG so that GF ≈ EF
Step-by-step explanation:
Conjecture: The difference between two negative numbers is always negative. Write a counterexample. *
What is the sum of 2 plus 89
Answer: 91
Step-by-step explanation: 2+89=91