Answers
Answer:
w = 8x = 8√2y = 8√2z = 16Step-by-step explanation:
A 45-45-90 right triangle is isosceles. That means both legs are the same length, and its hypotenuse is √2 times the leg length. You can figure these facts using trigonometry or the Pythagorean theorem, or you can rely on your memory of them.
w = 8 . . . . . . . . . . . same as the leg length shown
x = y = 8√2 . . . . . hypotenuse of smaller triangle; both legs are the same
z = (8√2)√2 = 16 . . . . hypotenuse of larger triangle
Related Questions
Solve this system. Write your answer as an ordered pair. -5x + y = -3 3x - 8y = 24
Answers
Hello there, this is how we will solve your problem.\
here is the equation you gave us.
[tex]{\huge{\boxed{\mathbb{EQUATION}}}[/tex]
[tex]\begin{bmatrix}-5x+y=-3\\ 3x-8y=24\end{bmatrix}[/tex]
we can isolate [tex]x[/tex] and say [tex]x=\frac{-3-y}{5}[/tex]
Now here is our equation, [tex]\begin{bmatrix}3\left(-\frac{-3-y}{5}\right)-8y=24\end{bmatrix}[/tex] After we simplify it we get [tex]\begin{bmatrix}\frac{9-37y}{5}=24\end{bmatrix}[/tex], solve this and we get that [tex]y=-3[/tex], Before we said [tex]x[/tex] equals [tex]-\frac{-3-y}{5}[/tex], So now we can plug in our value that [tex]y[/tex] equaled, and now we have [tex]\frac{-3-(-3)}{5}[/tex]. Two negatives equal a positive and we get that [tex]x=0[/tex].
_________________
[tex]y=-3[/tex] [tex]x=0[/tex]What is the slope of a line if x equals (-2 and y equals 4?
Answers
Answer:
can't be determined unless you give two points which is two sets of x and y points
What is the scale factor that takes the large triangle to the small triangle?
Answers
Step-by-step explanation:
such a scale factor applies to all sides and lines.
we see that DE is 12 units, and AB is 4 units.
so,
12×f = 4
f = 4/12 = 1/3 is the scale factor
control : check the other side
FE = 6 units
6 × 1/3 = 2
so, the corresponding side in the small triangle must be 2 units long.
and indeed, CB is 2 units long. all correct.
one of the same side exterior angles of two parallel lines is 20 degrees less than the other same side exterior angle find the measures of the two angles (pls help i will give 25 points)
Answers
Answer:
25 I am not a fan of the gas increases when the piston is pushed in the next war
What is the slope of the following line?
Answers
The slope of the line is 1/-2
You only have to rise one time, then go over to the left two times in order to get to another point.
Jenny and Dylan were putting chips into bags to help feed the homeless. They had 344 chips. Each bag holds 17 chips. How many full bags of chips can they make?
Answers
Answer:
20
Step-by-step explanation:
Answer:
20 full bags of chips
Step-by-step explanation:
344 chips / 17 chips = 20 full bags (with 4 chips left over)
Let f(x) = 2(x − 1)² + 3 and h(x) = -f(x+3) - 1
Write h in terms of x
Answers
f(x+3)
[tex]\\ \sf\Rrightarrow 2(x+3-1)^2+3[/tex]
[tex]\\ \sf\Rrightarrow 2(x+2)^2+3[/tex]
[tex]\\ \sf\Rrightarrow 2(x^2+4x+4)+3[/tex]
[tex]\\ \sf\Rrightarrow 4x^2+8x+8+3[/tex]
[tex]\\ \sf\Rrightarrow 4x^2+8x+11[/tex]
Now
[tex]\\ \sf\Rrightarrow h(x)[/tex]
[tex]\\ \sf\Rrightarrow -f(x+3)-1[/tex]
[tex]\\ \sf\Rrightarrow -4x^2-8x-11-1[/tex]
[tex]\\ \sf\Rrightarrow -4x^2-8x-12[/tex]
[tex]\\ \sf\Rrightarrow 4(-x^2-2x-3)[/tex]
Bob and Dave go to PizzaScoff. Starting with 35 pizzas, Bob eats 6 and 4/5 and Dave eats 8 and 1/3 pizzas. How many are left/?
Answers
Answer: 15 1/3 or 15.333333
Step-by-step explanation:
in a supermarket, bottles of lemonade are on a buy one get one half price offer.
The normal price of lemonade is 82p.
How much would it cost to get exactly three bottles of lemonade using this offer?
£
Answers
Answer: 114p
Step-by-step explanation:
Hope it helps
What is 16 divided by 5%=?
Answers
Answer:
320
Step-by-step explanation:
I am assuming we are trying to find 16/5%.
5% is equal to 1/20, so we can make this into :
[tex]\frac{16}{\frac{1}{20} }=16*\frac{20}{1}[/tex]
This is equal to 16 x 20 = 320
Explanation: divide 16 by 5% on your phone calculator
Hello!! :3
Please answer the question below.
-hello10olleh (hello)
Answers
Answer:
sequence B
Step-by-step explanation:
Answer:
IT SHALL BE Bbbbbbbbbbbbbbbbbbbbbbbbbbbb
HoPe ThIs HeLpS
Joyce's mother buys some shares of Company A on Day 0.
On Day 7, the share price of Company A is $4.60.
If she sells all her shares of Company A and A buys 2000 shares of Company B on Day 7, she would receive $7400.
On Day 12, the share price of Company A is $4.80 and the share price of Company B is $0.50 less than that on Day 7.
If she sells all her shares of Company A and buys 5000 shares of Company B on Day 12, she would have to pay $5800. Find
(i) the number of shares of Company A Joyce's mother has,
(ii) the share price of Company B on Day 12.
Please help aNd thank you!!!
Answers
Answer:
(i) 4000
(ii) $5.00
Step-by-step explanation:
Let no. of shares of Company A be X
Let share price of Company B on Day 7 be $y
Share price of Company B on Day 12 = $(y-0.50)
(i)
Consider Day 7:
4.60x - 2000y = 7400................ (1)
Consider Day 12:
4.80x - 5000(y-0.50) = -5800
4.80x - 5000y + 2500 = -5800
4.80x - 5000y = -8300............... (2)
(1)*2.5:
11.5x - 5000y = 18500................. (3)
(3)-(2):
11.5x - 4.80x - 5000y + 5000y = 18500 + 8300
6.70x = 26800
x = 4000
(ii)
Sub. x = 4000 into (1):
4.60(4000) - 2000y = 7400
-2000y = 7400 - 18400
-2000y = -11000
y = 5.5
Share price of Company B on Day 12
= 5.50 - 0.50
= $5.00
To make a certain shade of paint, an artist needs to mix yellow with blue paint at a ratio of 3 to 5. He needs 32 ounces of paint.
Solution:
Answers
Step-by-step explanation:
I guess the question is how many ounces are needed per paint. right ?
the colors are mixed in a ratio 3:5.
what that tells us is that there are 8 units of the whole paint (3+5), and yellow gets 3 out of these 8, and blue 5 out of these 8.
the total is 32 ounces.
so, each of the 8 units represents
32/8 = 4 ounces.
and now we know :
yellow has 3 units
3×4 = 12 ounces
blue has 5 units
5×4 = 20 ounces
My question that I need help on
Answers
Answer:
Step-by-step explanation:
-5(c-4)=
a*-20-5c
b*20-5c
c*20+5c
???????
Answers
Answer:
b
Step-by-step explanation:
distributive property-
-5c-(-20) which is -5c+20 which can also be 20-5c
Distribute
−
5
(
−
4
)
−
5
(
c
−
4
)
−
5
+
2
0
−
5
c
+
20
Solution
−
5
+
2
0
−
5
c
+
20
Can someone help with 1 11/15 divided by 1 4/9?
Answers
Answer: The answer is 1 1/5
Step-by-step explanation: Hope that helps :)
find m angle 1 117+33+x=180
Answers
Answer:
angle x = 30 degrees
Step-by-step explanation:
180-117-33= x
180 - 117- 33= 30
117+33+x=180
117+33=150
180-150=30
x=30
117+33+30=180
180=180
honestly i dont know what you wanted me to do so i did what i know
my Christmas present to you
Answers
Answer:
thankss
Step-by-step explanation:
so tell me how many assignments are you missing?
Answers
I have like 27 missing assignments
SHOW WORK PLS.
y = x ^ 2 - x - 11
y = - x - 7
solve by substitution!
Answers
X^2-11=-7
X^2=4
X=2 (4 was reduced to 2 after the equation was square rooted)
Pls give brainliest so close to ranking up
22= -11k what does k equal
Answers
Answer:
k = -2
Step-by-step explanation:
Divide 22 by -11 as well as -11k by -11
(You have to divide both sides by the number that k is to find your answer)
22 divided by -11 = -2
-11k divided by -11 = k
meaning you would get the answer of k = -2
Eva is flying a kite, holding her hands a distance of 2.75 feet above the ground and
letting all the kite's string play out. She measures the angle of elevation from her
hand to the kite to be 25°. If the string from the kite to her hand is 130 feet long, how
many feet is the kite above the ground? Round your answer to the nearest tenth of a
foot if necessary.
Answers
Answer: 57.7 feet above the ground
sin 25= opposite/hypotenuse
= x/130
130 sin 25 = x
x=54.940374
54.940374+2.75 = 57.7
answer the ones you want to. At least answer one…
I have to do 2 pages of homework I need this done I have school tomorrow..
Have no idea how to do this. Please help I beg you.
Answers
Answer:
9. First Five terms
If n=0. Then,
[tex] \frac{4(0) - 5}{2}[/tex]
[tex] \frac{0 - 5}{2} = \frac{ - 5}{2} [/tex]
If n=1. Then,
[tex] \frac{4(1) - 5}{2} [/tex]
[tex] \frac{4 - 5}{2} = \frac{ - 1}{2} [/tex]
If n=2. Then,
[tex] \frac{4(2) - 5}{2} [/tex]
[tex] \frac{8 - 5}{2} = \frac{3}{2} [/tex]
If n=3. Then,
[tex] \frac{4(3) - 5}{2} [/tex]
[tex] \frac{12 - 5}{2} = \frac{7}{2} [/tex]
If n=4. Then,
[tex] \frac{4(4) - 5}{2} [/tex]
[tex] \frac{16 - 5}{2} = \frac{11}{2} [/tex]
If n=5. Then,
[tex] \frac{4(5) - 5}{2} [/tex]
[tex] \frac{20 - 5}{2} = \frac{15}{2} [/tex]
If n=6. Then,
[tex] \frac{4(6) - 5}{2} [/tex]
[tex] \frac{24 - 5}{2} = \frac{19}{2} [/tex]
Lindsay borrowed ₱120,000 in a bank for a year. If she paid ₱139,290.54 on the maturity date, at what rate of interest, compounded monthly, did she pay?
Answers
She paid the loan at a 15% rate of interest.
Given that Lindsay borrowed $ 120,000 in a bank for a year, if she paid $ 139,290.54 on the maturity date, to determine at what rate of interest, compounded monthly, did she pay, the following calculation must be performed:
120,000 x (1 + X / 12) ^ 12 = 139,290.54 (1 + X / 12) ^ 12 = 139,290.54 / 120,000 1 + X / 12 = 12√1.1607545 X / 12 = 1,012 - 1 X = 15
Therefore, she paid the loan at a 15% rate of interest.
Learn more about interest in https://brainly.com/question/25725602
write the slope intercept form of the equation through (2,-4) parallel to y=-1
Answers
Answer:
y = -x - 2Step-by-step explanation:
Parallel lines have equal slopes.
Given slope, m = - 1 and point (2, -4).
Slope- intercept form:
y = mx + bTh line will be:
y = -x + bSubstitute x and y- values of the point into equation to find the value of b:
- 4 = - 2 + bb = 2 - 4b = - 2The line is:
y = -x - 2Slope=m=0
Parallel lines have equal slopes
Equation of line in point slope form
y-y1=m(x-x1)y+4=0(x-2)y+4=0y=-4helpppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp
Answers
Answer:
Step-by-step explanation:
41/6= 6 5/6
42/9=4 2/3
31/3=10 1/3
70/6=11 2/3
sorry if i’m late I don’t know how to write explanations
Write add, divide, multiply, and subtract in the correct order to complete the following sentence.
When using the order of operations to evaluate an expression,
Always:____and____before you____and____.
Answers
Answer:
what grade are you??.......
Help please. I dont know how to do this :((
Answers
Answer:
You need the distance of all four sides so that is:
2 * (5y +1) + 2 * (2y -3) which equals
10y + 2 + 4y -6 and that equals
14y -4
Step-by-step explanation:
3.please help me out
Answers
Answer:
125
Step-by-step explanation:
Step-by-step explanation:
5×5²
=5×5×5
=125
index form= 5³
154 sq. cm is the area of a circle
so find its radius
[tex]\pi =\frac{22}{7}[/tex]
Answers
Answer:
r = 7 cm
Step-by-step explanation:
The area (A) of a circle is calculated as
A = πr² ( where r is the radius )
Given A = 154 , then
πr² = 154 , that is
[tex]\frac{22}{7}[/tex] r² = 154 ( multiply both sides by 7 to clear the fraction )
22r² = 1078 ( divide both sides by 22 )
r² = 49 ( take square root of both sides )
r = [tex]\sqrt{49}[/tex] = 7 cm