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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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
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
Conjecture: The difference between two negative numbers is always negative. Write a counterexample. *
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 :) ❤
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
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
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
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
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
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 :)
Can someone help me please
Answer:
[tex] \sqrt{} \frac{1}{49} = \frac{1}{7} [/tex]
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
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°
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! :)
: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.
What is 43% of 4,000
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.
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
look at pic below please and figure out inverse tables
Answer:
a -1
b 1
c 3
d 2
no
Step-by-step explanation:
plz help plz I am already failing I dont want to fail more
Answer:
B is the closet to pi hsiebfjwjgsbe9fbe
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
What is the sum of 2 plus 89
Answer: 91
Step-by-step explanation: 2+89=91
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
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:
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:
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
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
i’ll mark brainliest
Answer:
3$
Step-by-step explanation:
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: