[tex]\text{Simplify:}\\\\(3x^2-4x+2)-(2x^2-4x-5)\\\\3x^2-4x+2-2x^2+4x+5\\\\x^2-4x+2+4x+5\\\\x^2+2+5\\\\x^2+7\\\\\boxed{\text{Two terms}}[/tex]
find the size of angle yxz give your answer to 3 significant figures 20cm 8cm
tan X = |YZ| / |XZ| = 20/8 = 5/2
X = arctan(5/2) = 68.2°
Answer: 68.2°
The size of angle ∠YXZ is 68.3° given that sides YZ=20cm and XZ=8cm by using trigonometric ratios.
What are trigonometric ratios?In a right angled triangle, if A is an angle other than right angle then trigonometric ratios are
sin A =[tex]\frac{opposite side}{hypotenuse}[/tex]
cos A=[tex]\frac{adjacent side}{hypotenuse}[/tex]
tan A =[tex]\frac{opposite side}{adjacent side}[/tex]
Calculate the angle ∠YXZGiven YZ=20cm and XZ=8cm
Since the triangle is right angled, and opposite side and adjacent side are given we can find tan(∠YXZ )
tan (∠YXZ ) =20/8 =2.5
∠YXZ = arctan (2.5) =68.2°
Hence the size of angle ∠YXZ is 68.2° given that sides YZ=20cm and XZ=8cm.
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The total cost of a pair of jeans and three shirts is $114. The shirts each cost the same amount, and the jeans are $45.
What is the price per shirt?
a.) $69
b.) $23
c.) $53
d.) $159
Answer:
23
Step-by-step explanation:
j = jeans
s = shirt
j + 3s = 114
jeans = 45
45+ 3s = 114
Subtract 45 from each side
45-45+3s = 114-45
3s =69
Divide each side by 3
3s/3 =69/3
s = 23
Each shirt is 23
Answer:
b.) 23
Step-by-step explanation:
114-45=69
69/3=23
Can someone help me solve this?
Answer:
233.5
Step-by-step explanation:
step 1. A=wl=8·20=160
step 2. A=wl=6·12=72
step 3. A=ab
2=3·1
2=1.5
step 4. 160+72+1.5= 233.5
Fong has 28$ he shares it between his two sisters in the ratio of 3:4 how many money does each sister get?
Answer:
One sister gets 12 and the other gets 16
Step-by-step explanation:
Sister A : sister B: total
3 4 3+4 =7
Take the total amount and divide by 7
28/7 = 4
Multiply each side by 4
Sister A : sister B: total
3 *4 4*4 7*4
12 16 28
Identify the relationship complementary, or vertical and find the value of x.
Wouldn’t it be complementary?
Also, I know how to find x, I’m just wondering what’s the relationship.
Answer:
It is complementary.
Step-by-step explanation:
It is since the two angles add up to 90 degrees. If they were vertical angles they would be opposite and be made by intersecting lines. Complementary angles - Angles next to each other that add up to 90 degrees. Supplementary angles : Angles that are next to each other adding up to 180 degrees.
A : The distance around a closed figure B: The space within a closed figure C : Measure using the distance formula D : measure in units squared
Answer:
C : Measure using the distance formula
Step-by-step explanation:
A Venn diagram is a diagram which shows the relation of all different sets
Just like it is given in the attachment there is a relation between the perimeter and the area.
The distance formula is
[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2 }[/tex]
where,
[tex](x_1, y_1)[/tex] is the first point coordinates
[tex](x_2, y_2)[/tex] is the first point coordinates
By using the distance formula as discussed above shows the intersection of the Venn diagram
Hence, the correct option is C.
Kelsie sold digital cameras on her website . She bought the cameras for $65 each and includes a 60% markup to get the selling price . To the nearest dollar , what was the selling price for one camera ?
Answer:
$104
Step-by-step explanation:
First, convert 60% to a decimal.
60% = 0.6
Now, multiply the cost to buy the camera ($65) by the decimal.
$65 × 0.6 = $39
Now, add this amount to the amount it cost to buy the camera.
$65 + $39 = $104
The selling price for the camera will be $104.
Answer:
The answer is $104
4 (9x+6) = 36x - 7 what does x =
The difference of two timber’s is 8. When twice the first number is added to three times the second number, the result is 51. What are the two numbers?
Answer:
First number:15
Second number: 7
Step-by-step explanation:
To find the 2 numbers, we can use system of equations.
Let's use x for the first number and y for the second number. Our first equation would be:
x-y=8
This equation comes from the first sentence: the difference of the 2 numbers is 8. The second equation would be
2x+3y=51
This equation comes from the second part of the question.
We can use elimination method to find x and y.
x-y=8
2x+3y=51
Let's eliminate x. To do so, the x in both equations must be equal to each other. Since one is x and another is 2x, we must multiply the first equation by 2 to get the same x.
2x-2y=16
2x+3y=51
Now that the x are the same, we can subtract the equations.
-5y=-35
y=7
With our y value, we can find x by plugging y into any of the equations.
x-7=8
x=15
Since we found our x and y, the first number is 15 and the second number is 7.
if your have 4096 cube
A) find the maximum dimensions of a cube u can make?
B) the big cube in a) is re-arrange into a cuboid which has a 4 cube height and a square base area, what is the maximum area of cuboid base
Answer:
a) [tex]\sqrt[3]{4096} = 16[/tex]
b) 4096/ 4 = 1024
Step-by-step explanation:
Please help me answer these two questions!! Brainliest to be given!!
Answer:
a=2
b=93
I hope this helps you
Step-by-step explanation:
Answer:
1. 2
2. 93
Step-by-step explanation:
First we have to put the values of x and y into the equation
4(3)-2(5)
(4×3)-(2×5)
12-10=2
Now the second one
2(3)²+3(5)²
18+75=93
Antone is taking four of his friends to see the latest movie. Each ticket is $5.50, and he is paying for all five tickets. How much money does Antone need to bring to pay for all of the tickets? A. $22.00 B. $27.50 C. $88.00 D. $110.00
Answer: $27.50
Step-by-step explanation:
For all 5 tickets, Antone will pay
5 * 5.50 = 27.50
Answer:
B
Step-by-step explanation:
What is the correct formula for calculating a 3 x 3 determinant?
a)abc+def+ghi-adg-beh-cfi
b)adg+beh+cfh-abc-beh-cfi
c)aei+bfg+cdh-gec-hfa-idb
Answer:
C
Step-by-step explanation:
just did it on edge
Y=10 when x=8 what is x when y=30
Answer:
X= 24
Step-by-step explanation:
Y was multiplied by 3 to equal 30, so same rules are applied and you multiply 8 by 3
Answer:
28 or 24 im not sure which
Simplify the expression
12x^-6 y^10 •3x^7y
A group of 9 students has these numbers of children in their families:
3, 2, 4, 2, 1, 5, 1 ,3 ,7
_________________________________
Answers:Median=3
Mean=3.12
Step by step explanation:
1. Arranging the data in ascending order:
=1,1,2,2,3,3,4,5,7
N(total number of items)=9
Now,
Median= (N+1/2) th item
=(9+1/2)th item
=(10/2) th item
=5 th item.
Median= 3
------------------------------------------------------------
2. Given data: 3,2,4,2,1,5,1,3,7
Summation FX= 28
N(total number of items)=9
Now,
Mean= summation FX/N
= 28/9
=3.12
Mean =3.12
Hope it helps....Good luck on your assignment
_______________________________
Step-by-step explanation:
median (need to be arranged first):
1,1,2,2,3,3,4,5,7 (9 numbers)
median=9+1/2
=5 (5th)
=3
mean=x/n
=(1+1+2+2+3+3+4+5+7)/9
=28/9
=3.111
Really need help can someone help me with this problem plz! I need help asap! Someone plz help me plz plz help me!
Answer:
x = 358. / Maximum amount of money for sales = $3,759
Step-by-step explanation:
x + 26 = 384. Inverse operations
-26. -26
x = 358
358($10.50) = $3,759
Solve for n. 11(n – 1) + 35 = 3n plz help
[tex]answer \\ = - 3 \\ solution \\ 11(n - 1) + 35 = 3n \\ or \: 11n - 11 + 35 = 3n \\ or \: 11n + 24 = 3n \\ or \: 11n - 3n = - 24 \\ or \: 8n = - 24 \\ or \: n = \frac{ - 24}{8} \\ n = - 3 \\ hope \: it \: helps[/tex]
Find the area of the following kite. Please help me
Answer:
56
Step-by-step explanation:
The larger half is 4*10=40
The smaller half is 4*4=16
40+16=56
The area of the given kite is 56 square units and it has two diagonals of lengths 14 and 8 units.
The are of kite is product of diagonals by two.
Area of kite = (Diagonal 1 × Diagonal 2)/2.
Diagonal 1= 10+4
=14 units.
Diagonal 2= 4+4
=8 units.
Now plug in these values in above formula:
Area of kite = (14×8)/2
=112/2
=56 square units.
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Carlos is five years older than twice his sister's age. Carlos is 13.
Which equation and solution correctly identifies his sister's age?
A.) 2 x + 5 = 13; x = 4
B.) 2 x - 5 = 13; x = 9
C.) 2 x - 5 = 13; x = 4
D.) 2 x + 5 = 13; x = 9
this is a multiple choice answer
Answer:
a. ) 4
Step-by-step explanation:
13-5= 8
8/2=4
Answer:
A.) 2 x + 5 = 13; x = 4
Step-by-step explanation:
What is the value of 0?
Answer:
It is 0
Step-by-step explanation:
A washing machine requires 27.5 minutes
to wash one load of laundry. A clothes
dryer requires 60% more time than the
washing machine to dry one load of
laundry. What is the total amount of time
it takes to wash and dry one load of
laundry?
Help me answer this
Answer:
The answer would be 10.
Step-by-step explanation:
10 is the number that has the most number of dots above it.
John’s garden has an area of 28 square feet. The rectangular garden is 7 feet long. What is the width of the garden
Answer:
the width is 4
Step-by-step explanation:
7 times 4= 28
or
28 divided by 7
What’s the equation to (–5, –2), (–5, 7) ?
Answer:
x=-5
Step-by-step explanation:
Since the y value goes from -2 to -7 while the x value stays constant, no matter what y value you plug in x will be -5. Therefore, the equation of this line is x=-5. Hope this helps!
Please help! It’s an easy multiple choice question. Question in the photo.
Answer:
Step-by-step explanation:
Just so you know, the answer is NOT B, as one person stated.
In order for a right triangle to be a right triangle, 2 things have to happen. One is that it has a hypotenuse, which by definition, is the longest side in a right triangle. To test to see if that hypotenuse is actually a hypotenuse, the square of it has to be equal to the sum of the squares of the other 2 sides. Let's test a first.
Keeping in mind that the longest side has to be the hypotenuse, in a. our hypotenuse would have to be 17. Using Pythagorean's Theorem to test:
[tex]8^2+15^2=17^2[/tex] and
64 + 225 = 289 and
289 = 289. So a is a right triangle. Now for b:
[tex]20^2+21^2=29^2[/tex] and
400 + 441 = 841 and
841 = 841. So b is also a right triangle. Now for c:
[tex]9^2+16^2=18^2[/tex] and
81 + 256 = 324 and
337 = 324. Obviously, 337 does not equal 324, so c is not a right triangle.
. Obviously, 337 does not equal 324, so c is not a right triangle.
-4x - 3(2x + 8) = 36 solve for x
Answer:
x = -6
Step-by-step explanation:
-4x - 3(2x + 8) = 36
-4x - 6x - 24 = 36
-10x = 60
-x = 6
x = -6
Answer:
[tex]x = - 6[/tex]
Step-by-step explanation:
[tex] - 4x - 3(2x + 8) = 36 \\ - 4x - 6x - 24 = 36 \\ - 10x = 36 + 24 \\ - 10x = 60 \\ \frac{ - 10x}{ - 1 0} = \frac{60}{ - 10} \\ x = - 6[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Could someone help me please
Answer:
Cannot
Can
Cannot
Cannot
Step-by-step explanation:
10+3 < 18
16+8>23
6.5+3.4 < 10.8
7+7< 23
Answer:
what's the question men let me no
What is the area of the figure? A. 360 km² B. 432 km² C. 720 km²
D. 864 km²
The answer is 360km^2
please see the attached picture for full solution
Hope it helps
Good luck on your assignment
Um homem estava indo para a Bahia com suas sete irmãs. Cada irmã carregava sete caixas, cada caixa tinha sete gatos,cada gato estava com sete filhotes. Quantos estavam indo para a Bahia?
Answer:
2,752
Step-by-step explanation:
English Translation
A man was going to Bahia with his seven sisters. Each sister carried seven boxes, each box had seven cats, each cat had seven puppies. How many were going to Bahia?
Solution
1 man was going to Bahia
With his 7 sisters.
Total nunber of humans = 1 + 7 = 8 humans
Each of the 7 sisters carried 7 boxes.
Each of the 49 boxes had 7 cats
Total number of cats = 7 × 7 × 7 = 343 cats
Each of the 343 cats had 7 puppies
Total number of puppies = 7 × 343 = 2401 puppies.
Total number of living things going to Bahia
8 humans + 343 cats + 2401 puppies
= 2,752
Hope this Helps!!!