Answer:
(n-2)²
Step-by-step explanation:
If triangle PQR is similar to triangle XYZ, then;
PQ/QR =XY/YZ
Given
PQ = n + 2,
QR = n - 2 and
XY=n^2 - 4,
Substitute
n+2/n-2 = n²-4/YZ
n+2/n-2 = (n+2)(n-2)/YZ
1/n-2 = n-2/YZ
Cross multiply
YZ = (n-2)(n-2)
YZ = (n-2)²
Hence the value of YZ in terms of n is (n-2)²
What is the mass of a box that weighs 1.4 kilograms? (1,000 grams = 1 kilogram)
A. 14,000 g
B. 140 g
C. 1.4 g
D. 1,400 g
Answer:
D
Step-by-step explanation:
Answer:
it is D im 99% sure
Step-by-step explanation:
dddddddd
Keira is reviewing her checking account statement from the bank. Her starting balance and transactions are listed.
-Starting balance of $49.15.
-Spent $16.23 at Wal Mart.
-Deposit from birthday check of $35.00. -Dinner at Chick-fil-A for $8.34.
-Withdrawal cash at the ATM of $20.
If reconciled, her bank statement should have a balance of
$9.58
$39.58
$79.58
$72.04
Answer:
39.58
Step-by-step explanation:
49.15-16.23=32.92
32.92+35=67.92
67.92-8.34=59.58
59.58-20=39.58
Her balance is $39.58
Hope this helps
Answer:
49.15 - 16.23 + 35.00 - 8.34 - 20 = 39.58
Find the area of the parallelogram
Answer:
513
Step-by-step explanation:
B×L=Area
Base=24
Length =19
24×19=513
Which expression is equivalent to y^4?
A. 4•y
B. y•y^3
C. 3y+y
D. y^2+y^2
Answer:
B: y * [tex]y^{3}[/tex]
Step-by-step explanation:
[tex]y^{4}[/tex]= y*y*y*y
Find the measures of the numbered angles in the isosceles trapezoid.
m<1=
9514 1404 393
Answer:
49°131°131°Step-by-step explanation:
The base angles are congruent in an isosceles trapezoid.
∠1 = 49°
Same-side angles are supplementary in any trapezoid.
∠2 = ∠3 = 180° -49°
∠2 = ∠3 = 131°
Factorise 3x^2+11x-20
Answer:
( 3 x − 4 ) ( x + 5 )
Step-by-step explanation:
Answer:
(3x+4) (x-5)
Reverse Check It If You Have Doubts
The recipe makes 1 serving of punch. Sam used 2 cups of pineapple juice to make her punch, how many servings did she make? Use the equation 2/3m = 2 to find the number of servings.
2/3 cup = Pineapple juice
1/2 cup = orange juice
3/4 cup = Lemon/lime juice
1/3 cup = Ginger ale
Answer: 3 servings
Step-by-step explanation:
Sam used 2 cups of pineapple juice, one serving just needs 2/3 cups of pineapple. 2 divided by 2/3 equals 3 so, Sam made three servings. (in this case 1/2 cup orange juice 3/4 cup Lemon/lime juice 1/3 cup Ginger ale does not matter, you only need to know the pineapple juice.
The functions f(x) and g(x) are graphed.
Which represents where f(x) = g(x)?
f(2) = g(2) and f(0) = g(0)
O f(2) = g(0) and f(0) = g(4)
O f(2) = g(0) and f(4) = g(2)
O f(2) = g(4) and f(1) = g(1)
96X
3
24
1+
-6-5-4-3-2-14+ 1 43 4 5 6 x
-2+
-3+
4+
5
Find the standard deviation. Round to the nearest tenth.
251, 180, 281, 234, 295, 285, 194, 272, 291
O A. 42.6
O B. 31.7
O C. 45.6
O D. 40.2
Here are summary statistics for randomly selected weights of newborn girls: n=250, x_=32.9 hg, s=6.9 hg. Construct a confidence interval estimate of the mean. Use a 95% confidence level. Are these results very different from the confidence interval 31.9 hg < μ < 34.5 hg with only 19 sample values, x_ = 33.2hg, and s = 2.9 hg?
Answer:
Step-by-step explanation:
Here are summary statistics for randomly selected weights of newborn girls: n=250, x_=32.9 hg, s=6.9 hg. Construct a confidence interval estimate of the mean. Use a 95% confidence level.
The confidence interval of mean
=32.9 ± 1.96 × 6.9/250
Confidence Interval = 32.9 ± 0.5382
Meiling needed $5.35 to buy a ticket to a show. In her wallet, she found 2 dollar bills, 11 dimes, and 5 pennies. How much more money does Meiling need to buy the ticket?
Answer:
no she needs $2.20 more
Step-by-step explanation:
2+ 1.10+.05= $3.15
$5.35 - $3.15 = the answer
which statements are true about angle b in this triangle?
Answer:
b) [tex]\sin(B) = \frac{\sqrt 2}{2}[/tex]
e) [tex]\tan(B) = 1[/tex]
Step-by-step explanation:
Given
The attached triangle
Required
The true statement about B
The given options show that we determine the correct trigonometry ratio of B.
So, we have:
[tex]\cos(B) = \frac{Adjacent}{Hypotenuse}[/tex]
This gives:
[tex]\cos(B) = \frac{a}{c}[/tex]
Where:
[tex]a = 3mm\\c = 3\sqrt 2 mm[/tex]
[tex]\cos(B) = \frac{3}{3\sqrt 2}[/tex]
3 cancels out
[tex]\cos(B) = \frac{1}{\sqrt 2}[/tex]
Rationalize
[tex]\cos(B) = \frac{1}{\sqrt 2}* \frac{\sqrt 2}{\sqrt 2}[/tex]
[tex]\cos(B) = \frac{\sqrt 2}{\sqrt 2*\sqrt 2}[/tex]
[tex]\cos(B) = \frac{\sqrt 2}{12}[/tex]
Also:
[tex]\sin(B) = \frac{Opposite}{Hypotenuse}[/tex]
This gives:
[tex]\sin(B) = \frac{b}{c}[/tex]
Where:
[tex]b = 3mm\\c = 3\sqrt 2 mm[/tex]
[tex]\sin(B) = \frac{3}{3\sqrt 2}[/tex]
3 cancels out
[tex]\sin(B) = \frac{1}{\sqrt 2}[/tex]
Rationalize
[tex]\sin(B) = \frac{1}{\sqrt 2}* \frac{\sqrt 2}{\sqrt 2}[/tex]
[tex]\sin(B) = \frac{\sqrt 2}{\sqrt 2 * \sqrt 2 }[/tex]
[tex]\sin(B) = \frac{\sqrt 2}{2}[/tex]
Lastly:
[tex]\tan(B) = \frac{\sin(B)}{\cos(B)}[/tex]
This gives:
[tex]\tan(B) = \frac{\sqrt{2}/2}{\sqrt{2}/2}[/tex]
[tex]\tan(B) = 1[/tex]
Hence, (b) and (e) are true
help again . ill give you 15 points.
Polygon ABCDE has a vertex at A(-4, 2). If the polygon is translated 4 units right and 2 units up, what are the coordinates of A'?
Answer:
(0,4)
Step-by-step explanation:
Add 4 to x and add 2 to y.
Simplify. (Assume all variables represent positive real numbers). Leave answer in radical form.
[tex]\sqrt128a^{6}b^{13}[/tex]
Answer:
[tex]\sqrt{128a^{6}b^{13}} = 8 a^{3} b^{6} \sqrt{2b}[/tex]
Step-by-step explanation:
Given
[tex]\sqrt{128a^{6}b^{13}}[/tex]
Required
Solve
[tex]\sqrt{128a^{6}b^{13}}[/tex]
The expression can be split to:
[tex]\sqrt{128a^{6}b^{13}} = \sqrt{128} * \sqrt{a^{6}} * \sqrt{b^{13}}[/tex]
[tex]\sqrt{128a^{6}b^{13}} = \sqrt{64 * 2} * \sqrt{a^{6}} * \sqrt{b^{13}}[/tex]
[tex]\sqrt{128a^{6}b^{13}} = \sqrt{64} * \sqrt{2} * \sqrt{a^{6}} * \sqrt{b^{13}}[/tex]
[tex]\sqrt{128a^{6}b^{13}} = \sqrt{64} * \sqrt{2} * \sqrt{a^{6}} * \sqrt{b^{12 + 1}}[/tex]
[tex]\sqrt{128a^{6}b^{13}} = \sqrt{64} * \sqrt{2} * \sqrt{a^{6}} * \sqrt{b^{12}} * \sqrt{b}[/tex]
So, we have:
[tex]\sqrt{128a^{6}b^{13}} = 8 * \sqrt{2} * a^{6/2} * b^{12/2} * \sqrt{b}[/tex]
[tex]\sqrt{128a^{6}b^{13}} = 8 * \sqrt{2} * a^{3} * b^{6} * \sqrt{b}[/tex]
Rewrite as:
[tex]\sqrt{128a^{6}b^{13}} = 8 * a^{3} * b^{6}* \sqrt{2} * \sqrt{b}[/tex]
[tex]\sqrt{128a^{6}b^{13}} = 8 a^{3} b^{6}* \sqrt{2b}[/tex]
[tex]\sqrt{128a^{6}b^{13}} = 8 a^{3} b^{6} \sqrt{2b}[/tex]
Find the area of this circle. Use 3 for .
A = 7r2
10 ft
[?] ft2
PLEASE HELP
Answer:
7.0686
your welcome :D.
please please i need help i will mark u brill
Answer:
Step-by-step explanation:
25 - (9 - y) = 20.7
Putting value of y = 4.3 in equation
25 - (9 - 4.3) = 20.7
25 - 4.7 = 20.7
20.3 = 20.7
Bringing like terms on one side
20.7 - 20.3 = 0.4
Answer; in this question we should have to put the value of y=4.3 and then we will get the answer.
Step-by-step explanation:
25-(9-y)=20.7
25-(9-4.3)=20.7
25-(4.7)=20.7
20.3=20.7
Bring the term on one side
20.7-20.3=0.4 Answer
Find the midpoint of the segment below and enter its coordinates as an
ordered pair. If necessary, express.coordinates as fractions, using the slash
mark ( / ) for the fraction bar.
(-1,5) (5,5)
Answer:
(2,5)
Step-by-step explanation:
(Xm, Ym)= ( (x1+x2)/2, (y1+y2)/2 )
= (5 + (-1))/ 2, (5+5)/2
= (4)/2, (10)/2
= 2, 5
Which conic section is shown in the image?
A.
circle
B.
ellipse
C.
parabola
D.
hyperbola
Answer:
D. Hyperbola
Step-by-step explanation:
symmetrical open curve formed by the intersection of a circular cone with a plane at a smaller angle with its axis than the side of the cone.
The conic section in the given figure is Hyperbola. Therefore, option D is the correct answer.
In the given figure conic section is given.
What is conic section?A figure formed by the intersection of a plane and a circular cone. Depending on the angle of the plane with respect to the cone, a conic section may be a circle, an ellipse, a parabola, or a hyperbola.
The given figure an open curve with two branches, the intersection of a plane with both halves of a double cone. The plane does not have to be parallel to the axis of the cone; the hyperbola will be symmetrical in any case.
The conic section in the given figure is Hyperbola. Therefore, option D is the correct answer.
To learn more about conic section visit:
brainly.com/question/8179077
#SPJ2
HELP ME PLEASE!!! No links
Answer:
H 60
Step-by-step explanation:
You would need to find out what you would multiply times 0.5 to get 30. Then to get that answer just divide 30 by 0.5. which is 60
Can anyone double check this to make sure I’m correct?
Answer:
looks like it's right!
Step-by-step explanation:
Answer:
I got 33.82
Step-by-step explanation:
Find the surface area of the prism.
Answer:
[tex]A=202\ cm^2[/tex]
Step-by-step explanation:
Given that,
The dimensions of the prism are 4 cm, 9 cm and 5 cm respectively.
The formula for the surface area of the prism is given by :
[tex]A=2(lb+bh+hl)[/tex]
Put all the values,
[tex]A=2(4(9)+9(5)+5(4))\\\\A=2(36+45+20)\\\\A=202\ cm^2[/tex]
So, the required surface area of the prism is equal to [tex]202\ cm^2[/tex].
find x
help please, asap.
Answer:
X=58 degrees
Step-by-step explanation:
So We can start by finding the angle thats supplementary to 109.
Well 109 and another unknown angle (which will be Y for this scenario) would form a straight line which is 180 degrees.
109+y=180
Solve that by isolating the y and you would get 71 as the missing side.
Now we have 2 sides, 71 and 51. We’re trying to find x or the angle vertical to the thrid interior angle of the triangle.
Vertical is basically equal so we really just gotta find the third side. A triangle is equal to 180 degrees and if you add em up.
71+51+x=180
Combine like terms
122+x=180
Isolate the X
x=58
So x is 58 degrees.
Answer:
x = 180 - 51 - 71 = 58°
Nara buys 20 ounces of dried cherries in bulk. If dried
cherries cost $0.55 per ounce, how much will she pay?
Answer:
11 dollars, is you multiply .55 by 20 its 11
What is the greatest common factor of 6, 42, and 30?
Answer:
6
Step-by-step explanation:
I found that the greatest common factor for those numbers is 6
A store sells shirts.
• The store has 72 shirts.
• 25% of the shirts are green.
of the green shirts have stripes.
How many shirts are green and have stripes?
Answer:
54are green and have strips
Step-by-step explanation:
72=100% of the total number of shirts
25%=18 shirts
so that means 18 shirts are green
72-18=54
so 54 striped green shirts.
pls help me giving brainless.
Answer: about 8 dollars
Step-by-step explanation:
2*12=24
8*12=96
12*12=144
Answer:
8 dollars
Step-by-step explanation:
the math comes out to 6.5 dollars per person and 8 is the closest
The letters in VIRGINIA are each written on a separate card. Mark picks one card at random, keeps it, and then picks a second card. What is the probability that he picks an "I" and then picks a consonant?
3/14
3/16
1/4
2/7
Answer:
okay I would say 1/4
Step-by-step explanation:
the originally eight letters, and then you take one out so there's seven and then your chances of getting the I are two so that's 2/7. then there's only one consonant the R so 1/4.
11 more than a number k equals 29.
HELP ME PLSSSSSSS
Answer:
11+k=29
Step-by-step explanation:
So "more than" means addition.
let's solve this for fun
11 + k =29
k = 29-11
k= 18
A bag of skittles includes 3 reds, 2 purple, 4 green, 2 organge, and 6 yellow. True or False - Is the theoretical probability of pulling a yellow out of the bag 3/11?
Answer:
true
Step-by-step explanation:
Answer:
False
Step-by-step explanation:
3 + 2 + 4 + 2 + 6 = 17
6/17, it cant be simplifed
