Answer:
z = 3√13
Step-by-step explanation:
The length of z is the geometric mean of the segments of the longest side that share a common point with z. The shorter of those is 9; the longer one is 4+9 = 13. Then ...
z = √(9(13))
z = 3√13
__
Additional comment
In like fashion, ...
x = √(4(13)) = 2√13y = √(4·9) = 6.__
These relations come about because all of these right triangles are similar. That means their side lengths are proportional.
long side/hypotenuse = z/13 = 9/z ⇒ z = √(9·13)
short side/hypotenuse = x/13 = 4/x ⇒ x = √(4·13)
short side/long side = 4/y = y/9 ⇒ y = √(4·9)
(sinx + cosx)(1 − sinx cosx) ≡ sin3x + cos3x
Step-by-step explanation:
We will use the LHS to find the RHS.
Step 1: Expand the LHS by multiplying through the brackets and simplify
(sinx + cosx)(1 − sinx cosx) ≡ sinx + cosx - (sinx + cosx (sinx cosx))
≡ sinx + cosx - sin²x cosx - sinx cos²x
Step 2: Use the identity sin²x + cos²x = 1, to rewrite the equation
≡ sinx + cosx - cosx (1 - cos²x) - sinx (1 - sin²x)
Step 3: Simplify the equation by adding like terms
≡ sinx + cosx - cosx + cos³x - sinx + sin³x
≡ sin³x + cos³x [QED]
Reminder:
1 - cos²x = sin²x 1 - sin²x = cos²x (cosx)(cosx) = cos²xnumerical expressions
X + 5=2
M - 2 =3
X/-8 = -1
5G=-20
1P/6 =0
D-15=14
Answer: ?
Step-by-step explanation:
Question is below!!! 9 and 10!!!! Pls help
Answer:
9. 1.75 m/s²; 8 s
10. (12 6/7) °/s; (10 5/7) kt/s
Step-by-step explanation:
Acceleration is the change in velocity divided by the change in time.
__
9.(22 m/s -15 m/s)/(4 s) = 7/4 m/s² = 1.75 m/s²
The eagle's average acceleration is 1.75 m/s².
__
The relation can also be used to find the time for a given change:
a = Δv/Δt ⇒ Δt = Δv/a
Δt = (22 m/s -8 m/s)/(1.75 m/s²) = 8 s
It would take the eagle 8 seconds to go from 8 m/s to 22 m/s.
__
10.From north to south is a direction change of 180°. Then the rate of change is ...
a = 180°/(14 s) = 12 6/7 °/s
__
From 75 knots north to 75 knots south (-75 knots, using north as a reference) the magnitude of the average acceleration is ...
|-75 kt -75 kt|/(14 s) = 150/14 kt/s = 10 5/7 kt/s
please help please help
Answer:
C.) =
Step-by-step explanation:
the absolute value of 5 is 5, and the absolute value of -5 is 5, so they will be equal
Answer:
=
Step-by-step explanation:
The absolute value of a number is how far the number is from zero on a number line.
Both 5 and -5 are 5 units from zero on a number line, so
|5| = |-5| since |5| = 5 and |-5| = 5.
List three negative numbers that are between -8 and -1
Answer:
the answer is -5 -3 -7 but there are more
Answer:
-7,-6,-5,-4,-3,-2 they are alot but you can take what every number
Write 10 10 10 10 10 with an exponent.
Answer:
10 5 ( Exponent )
Hope it helps
Madelyn and her friend Beth are each baking apple pies and tarts for a bake sale, using the same recipes. Madelyn baked 1 apple pie and 3 apple tarts, using a total of 19 apples. Beth made 10 apple pies and 10 apple tarts, which used 110 apples. How many apples does each dessert require?
An apple pie uses ____ apples and an apple tart requires____apples.
Answer:
An apple pie uses 7 apples and an apple tart requires 4 applesStep-by-step explanation:
Apple pie - p, apple tart - t
Set the system as follows:
p + 3t = 1910p + 10t = 110Solve by substitution, p = 19 - 3t:
10(19 - 3t) + 10t = 110190 - 30t + 10t = 11020t = 190 - 11020t = 80t = 4Find the value of p:
p = 19 - 3*4 = 19 - 12 = 7The equations are
x+3y=19--(1)10x+10y=110=>x+y=11---(2)Subtracting both equations
[tex]\\ \sf\longmapsto 2y=8[/tex]
[tex]\\ \sf\longmapsto y=4[/tex]
Put in equation (2)
[tex]\\ \sf\longmapsto x+4=11[/tex]
[tex]\\ \sf\longmapsto x=7[/tex]
Describe how the graph of y= 2x is the same and different from the graph of y=2x+8
Answer:
They are the same because they have the same slope, 2. and they are different because they different y-intercepts, 0 and 8.
Step-by-step explanation:
Your equations y=mx+b
m is your slope, both 2 and
b is your y-intercept, 0 for your first one because it doesn't have any, and 8 for your second one.
One member of the solution set of 3x + 2 > x + 8 is
(A) 1
(B) 3
(C) 5
(D) -4
Anyone know the answer to this ?
3x + 2 > x + 8
3x - x > 8 -2
2x > 6
x > 3
ok done. Thank to me :>
please help! will make u brainliest
Answer:
i. Rs6,000
ii. Rs6,900
Step-by-step explanation:
i. FV = PV(1 + r)^d
FV = 40,000(1 + 0.15)^1
FV = 40,000(1.15)
FV = 46, 000
46, 000 - 40,000
Interest = Rs6, 000
ii. FV = PV(1 + r)^d
FV = 46,000(1 + 0.15)^1
FV = 46, 000(1.15)
FV = 52, 900
52, 900 - 46, 000
Interest = Rs6, 900
[tex]\huge\mathcal{♨Answer♥}[/tex]
Answer is on the attachment...
☆...hope this helps...☆
_♡_mashi_♡_
Kameron has (4x + 10) toy cars. His
best friend Joey has (-5x + 20) toy
cars. How many more toy cars does
Kameron have than Joey has?
Answer:
9x-10
Step-by-step explanation:
(4x+10) - (-5x+20)
Open the brackets
4x+10+5x-20
Collect like terms
4x+5x+10-20
9x-10
Item 38 Pre-Test: What category of magazine saw the largest number of new titles during the late 1800s
Answer:
Women's magazines
Step-by-step explanation:
Which pair of functions are inverse function?
Answer:
inverse functions is when the x and y coordinates are interchanged
Step-by-step explanation:
(1,2) and (2,1) are inverse functions. in other words they are flipped at the y=x line
pLS pls pls pls help me with this:((((((((((((
pls pls:((((((
Answer:
4 = a
5 = a
hope this answer helps you dear!
Use the information given to enter an equation in standard form. Slope is 3, and (2, 7) is on the line.
Answer:
3x - y = -1
Step-by-step explanation:
Standard form of equation is Ax + By = C
y - y1 = m (x -x1)
y - 7 = 3 (x - 2)
y - 7 = 3x - 6
3x - y = -7 +6
3x - y = -1
Answer: [tex]y-3x=1[/tex]
Step-by-step explanation:
Standard form :
Ax+By=C
We have a linear function y=kx+b ;
we also know its slope k=3 ; and that it passes through the point (2 ; 7 )
Then:
[tex]y=3x+1[/tex]
now substitute the knowledge of the coordinates of the point
[tex]3\cdot 2+b=7 \\\\ b=7-6\\\\ \underline{b=1\ \ \ \ \ }[/tex]
Then we get the function:
[tex]y=3x+1[/tex]
Standard form :
[tex]y-3x=1[/tex]
Jan skips 5 m north, 4 m east, 6 m north, 16 m east, and 4 m north. How far is Jan from where
she started?
help asap!!
Answer:35 m
Step-by-step explanation:
North: 5+6+4. East: 4+16. 15+20
Select the correct answer. You’re laying a new kitchen floor with square tiles that are one yard by one yard. Your rectangular kitchen is 24 feet by 33 feet, and each tile costs $54. You determine that the tiles will cost you $3,960. If you made a mistake in your pricing estimate, what most likely occurred?
A. You determined the number of tiles was 19 instead of 88.
B. You multiplied the number of tiles by $45 instead of $54.
C. You calculated the dimensions of your kitchen to be 3 yards by 4 yards instead of 8 yards by 11 yards.
D. No mistake was made.
Answer: Your estimate is wrong, and it should be $4,752
Step-by-step explanation:
We are given that:
Size of tile = 1yard by 1yard
Let convert yard to feet, so as to find the covered by the tile in feet.
Since 1yard = 3feet
Size of tile = 3feet by 3feet
Area cover by tile = 3x3 = 9ft²
Size of kitchen floor = 24ft by 33ft
Area covered by floor = 24 x 33 = 792ft²
Total number of tile needed for the kitchen floor = Area of kitchen/Area of tiles
= 792/9
= 88 tiles
Given that each tile cost $54
Total cost of 88 tiles = 54 x 88 = $4752
Therefore the answer is
B. Your estimate is wrong, and it should be $4,752
1
−5
can be simplified to what value?
Answer:
1/5 is already in it's simplest form, but you can also write it was 0.2
Jim holds $50.000 in money at the beginning of the year. The annual inflation rate is 2 percent, and the price level rises from 10 to 1.02. What is the "inflation tax" that Jim pays at the end of the year? Jim pays an inflation tax of
Based on the inflation rate and the amount he had at the beginning of the year, Jim will pay an inflation tax of $1,000
Inflation tax refers to the value lost out of the cash holdings that a person has as a result of inflation.
With inflation being 2%, Jim would lose 2% of his cash holdings which translates to:
= Cash holdings x Inflation rate
= 50,000 x 2%
= $1,000
In conclusion, Jim will pay an inflation tax of $1,000.
Find out more at https://brainly.com/question/13724038.
I need help with 12 please
please answer this box for me i need a lot of help
Answer: 12
Step-by-step explanation: the denominator is the bottom number, so 6 and 4. The smallest number they BOTH have in common is 12. Hope this helps :)
Answer:
The least common denominator would be 12.
Step-by-step explanation:
Because if you look at each row of multiples, 12 is the smallest number that they both have in common.
See for your self:⤵⤵⤵
1/6 ➡ 6 12 18 24 30
3/4 ➡ 4 8 12 16 20
Hope this helps :)
Which is not a way to write the answer to this problem?
Answer:
D) .
Step-by-step explanation:
913 ÷ 29 ≈ 31
Which of these are prime numbers 5,6,9,13,18
Answer:
5 and 13
Step-by-step explanation:
Answer:
13
is the answer
Hope it help u
what is 6.38 to 1 decimal place
Answer: Is 6.4
Step-by-step explanation: I hope I helped in some way shape or form.
The 4 in 149 is how many times bigger than the 4 in 74?
4 times
10 times
30 times
100 times
Answer:
10 times
Step-by-step explanation:
HOPE THAT THIS IS HELPFUL.
HAVE AN AWESOME DAY.
Answer:
10 times
Step-by-step explanation:
The 4 in 149 is 10 times bigger than the 4 in 74 because the place value of 4 in the number 149 is 40 and the place of 4 in the number 74 is 4, so if we divide 40/4 we will get 10. Thus, choice 2nd is correct
help please i only have 10 mins left
Answer:
d.
took the test
Step-by-step explanation:
steve has been lifting 225 pounds during a deadlift for several weeks. during his warmup he wants to lift 60% of this weight. how much weight should he lift?
Answer:
135 lb
Step-by-step explanation:
Turn 60% into a decimal (0.60)
Then multiply 225 by 0.60
225 * 0.60 = 135 lb
Anayah is baking cookies. Each batch of cookies that she makes contains 2/3 cups of flour. Anayah wants to make 10 batches of cookies. How much flour will she need in total for all of the batches?
Answer:
6 2/3
Step-by-step explanation:
10* 2/3
20/3
which is 6 2/3
A couch priced at $300 is on sale for 40% off. What is the sale price of the couch?
Answer: $180
Step-by-step explanation:
Answer:
180
Step-by-step explanation:
300-40% = 180 hshsjsbhshebs
Help me pls
Find angle fgh
Answer:
116
Step-by-step explanation:
Fast and loose: The two triangles are congruent by SSS (they are both right triangles, the hypotenuse is in common, one of the sides is congruent as a given, the second has to be because of pythagorean theorem). The two angles are thus congruent, and their measure is the same:
[tex]2x+20 = 5x-37 \rightarrow 3x=57 \rightarrow x=19[/tex]
Found x, we can find the measure of the larger angle which is [tex](2\times 19 + 20 )\times 2 = 58 \times 2 = 116[/tex]
Answer:
Angle fgh=116
Step-by-step explanation:
Since segments FI and HI are congruent and angles H and F are congruent we can safely assume that angles FGI and HGI are congruent too. Since they are congruent we're going to set up our equation like so:
(2x+20)=(5x-37)
Now we set the equations equal to each other to solve for x
-3x=-57
Divide the -3 by both sides
x=19
Now we have to plug the x into the equations
2(19)+20 and 5(19)-37
Our answer is 58 for both equations
Now we have to add 58+58 because we're solving for FGH not just FGI or HGI.
SO our final answer is 116
(Hope this helps! If I did this wrong someone please correct me and respond to this answer so that I can delete it. Have a great day!)