Answer:
perimeter of a square = 4 * side
4 m^2 = 4 * side
side = 4/4
side = 1m
find the rate of travel for a fishing boat with a speed of 10 miles per hour moving Downstream with a current of 5 miles per hour
Answer:
36 miles (b+C) (3)of rate
What is the density of the glass in 2.5 g/cm in kg/m
We are given:
Density of glass in g/cm³ = 2.5
Finding the density in kg/m³:
In converting 2.5 g/cm³ to kg/m³, we will first convert the g to kg
Converting the g to kg:
2.5 g/cm³ * 1
Since 1kg = 1000g, 1kg/1000g = 1
2.5 g/cm³ * 1kg / 1000g
the g in the numerator and the denominator will cancel out and we will get:
2.5 kg / 1000 cm³
Converting the cm³ to m³:
We know that 1 m³ = 10⁶ cm³
So, 10⁶ cm³ / 1 m³ = 1
Multiplying the density by 1
2.5 kg / 10³ cm³ * 1
2.5 kg / 10³ cm³ * 10⁶ cm³ / 1 m³
the cm³ in the numerator and the denominator will cancel out
2.5 * 10⁶ kg / 10³ m³
2.5 * 10³ * 10³ kg / 10³ m³
2.5 * 10³ kg / m³
2500 kg/m³
What fraction is shown on the number line?
Answer:
7/10
Step-by-step explanation:
Given the coordinates, determine whether PQR & XYZ are congruent
P(5,-4), Q(-3, 7), R(0, 2), X(-2,-1), Y(9, 7), Z(3, 2)
PQ=
XY=
QR=
YZ=
PR=
XZ=
Are the triangles congruent? If yes, explain your reasoning and write a congruence statement.
Answer:
The triangles are congruent
Step-by-step explanation:
Given
[tex]P(5,-4), Q(-3, 7), R(0, 2), X(-2,-1), Y(9, 7), Z(3, 2)[/tex]
Required
Determine if PQR = XYZ
To do this, we make use of distance formula.
[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
For PQ:
[tex](x_1,y_1) = (5,-4)[/tex] and [tex](x_2,y_2) = (-3,7)[/tex]
So:
[tex]PQ = \sqrt{(-3-5)^2+(7-(-4))^2}[/tex]
[tex]PQ = \sqrt{(-8)^2+(7+4)^2}[/tex]
[tex]PQ = \sqrt{(-8)^2+(11)^2}[/tex]
[tex]PQ = \sqrt{64+121}[/tex]
[tex]PQ = \sqrt{185}[/tex]
For XY:
[tex](x_1,y_1) = (-2,-1)[/tex]
[tex](x_2,y_2) = (9,7)[/tex]
So:
[tex]XY = \sqrt{(9-(-2))^2+(7-(-1))^2}[/tex]
[tex]XY = \sqrt{(9+2)^2+(7+1)^2}[/tex]
[tex]XY = \sqrt{(11)^2+(8)^2}[/tex]
[tex]XY = \sqrt{121+64}[/tex]
[tex]XY = \sqrt{185}[/tex]
For QR:
[tex](x_1,y_1) = (-3,7)[/tex] and [tex](x_2,y_2) = (0,2)[/tex]
So:
[tex]QR = \sqrt{(0-(-3))^2 + (2-7)^2}[/tex]
[tex]QR = \sqrt{(0+3)^2 + (-5)^2}[/tex]
[tex]QR = \sqrt{(3)^2 + 25}[/tex]
[tex]QR = \sqrt{9 + 25}[/tex]
[tex]QR = \sqrt{34}[/tex]
For YZ:
[tex](x_1,y_1) = (9,7)[/tex] and [tex](x_2,y_2) = (3,2)[/tex]
So:
[tex]YZ = \sqrt{(3-9)^2+(2-7)^2}[/tex]
[tex]YZ = \sqrt{(-6)^2+(-5)^2}[/tex]
[tex]YZ = \sqrt{36+25}[/tex]
[tex]YZ = \sqrt{61}[/tex]
For PR:
[tex](x_1,y_1) = (5,-4)[/tex] and [tex](x_2,y_2) = (0,2)[/tex]
So:
[tex]PR = \sqrt{(0-5)^2+(2-(-4))^2}[/tex]
[tex]PR = \sqrt{(-5)^2+(2+4)^2}[/tex]
[tex]PR = \sqrt{(-5)^2+(6)^2}[/tex]
[tex]PR = \sqrt{25+36}[/tex]
[tex]PR = \sqrt{61}[/tex]
For XZ:
[tex](x_1,y_1) = (-2,-1)[/tex] and [tex](x_2,y_2) = (3,2)[/tex]
So:
[tex]XZ = \sqrt{(3-(-2))^2+(2-(-1))^2}[/tex]
[tex]XZ = \sqrt{(3+2)^2+(2+1)^2}[/tex]
[tex]XZ = \sqrt{5^2+3^2}[/tex]
[tex]XZ = \sqrt{34}[/tex]
From the calculations above:
[tex]PQ = XY = \sqrt{185[/tex]
[tex]QR = XZ = \sqrt{34[/tex]
[tex]PR = YZ = \sqrt{61[/tex]
Hence, the triangles are congruent base on SSS (Sides- Sides-Sides)
Which equation represents a line which is parallel to the line y = -3x – 1 ?
Answer:3x+y=-8
Step-by-step explanation: If you were to solve each equation by graph the slope would be negative 3
In circle O, RT and SU are diameters. Circle O is shown. Line segments S U and R T are diameters. Line segment O V is a radius. Point V is between points R and U. Angle W O R is (13 x) degrees and angle T O U is (15 x minus 8) degrees. If mArc R V = mArc V U , what is mArc V U ? 47° 52° 64° 87°
Answer:
You first have to work out T O U and the answer will be a negative. This means that it will be within another angle
Answer: C 64
Step-by-step explanation:
15x+98=105 What is the value of x and please show your work. :)
Answer:
15x+98=105
-98 -98
15x=7
/15 /15
x=7/15
Step-by-step explanation:
x=7/15
PLEASE HELP ASAP WORTH A LOT OF MY GRADE
Answer:
D
Step-by-step explanation:
Im almost positive its d because for triangles you multiply by radical two for when its 45 degrees then the side for the one part of the triangle would be 26 radical 2 multiplied by 39 to get 1397.243 then you double that to get d
pls help asap no trolls!!
Answer:
10
Step-by-step explanation:13+4>а>13-4
a>9
Use the Distance Formula and the Pythagorean Theorem to find the distance, to the nearest tenth, from R to S.
R(-4, 5) and S(2, -1)
Method 1
Use the Distance Formula. Substitute the values for the coordinates of R and s into the Distance Formula.
Answer:
R(0,10) S(0,0)
Step-by-step explanation:
2 MATH K.
Parker is trying to solve the addition problem below.
58 +36 =
Drag and drop the numbers below to complete each sentence.
Is and Place
Parker will need to change!
ones into
ten and
ones. The answer to the addition problem
an and
1000
is 58 +36 =
94
5 - Part 1
2
.: 3
:: 5
:: 13
:: 14
:: 15
! 84
s - Part 2
Next
2 of 13
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10:3
Answer:
94
Step-by-step explanation:
Given the addition problem:
58 + 36
We can form a table :
5 _______ 8
+
3 _______ 6
9 4
Hence, (58 + 36) = 94
Question
-8 – (-3) =
Answer:
-5
Step-by-step explanation:
-8 - -3 basically forget about the - just do the question 8 - 3 then u get 5 then add the - sign
Answer:
Step-by-step explanation:
-5
-8 -(-3)=
-8+3=
-5
Factorise (3m -2n)^2 +5p(3m - 2n)
Answer: if you factor it you will get this-->(3m−2n)(3m−2n+5p)
Step-by-step explanation:
Solve.
X = -7
4x - 4y = 12
(x,y)
Answer:
(-7, -10)
[tex]x=-7\\y=-10[/tex]
Step-by-step explanation:
[tex]4x-4y=12[/tex]
Substitute x for -7.
[tex]4(-7)-4y=12[/tex]
Multiply 4 by -7.
[tex]-28-4y=12[/tex]
Add 28 on both sides.
[tex]-4y=40[/tex]
Divide -4 on both sides.
[tex]y=-10[/tex]
[tex](2x {}^{4} - 18x ^{2} + 3x - 4) \div (x ^{3} - 3x {}^{2} - 2)[/tex]
Answer:
(2x⁴-18x²+3x-4) = (2x+6)(x³-3x²-2) + (7x+8) .... remainder 7x+8
Step-by-step explanation:
(2x⁴-18x²+3x-4) = (2x+6)(x³-3x²-2) + (7x+8) .... remainder 7x+8
Use long division method
If the area of each of the triangular regions is as shown, what is the area of the polygon?
18
17
16
Answer:
18
Step-by-step explanation:
What is 8 2/5 minus 5/8
Answer: 7.775 as a decimal, as a fraction, 311/40.
Step-by-step explanation:
Answer:
im 95%ly sure itz just 8
Step-by-step explanation:
State University has no honors English course but instead places all freshman scoring at least 60 on a proficiency exam (mean=50, standard deviation=10) into an advanced composition course. If the scores are normally distributed and there are 2,500 entering freshman, how many will be put into the advanced course?
Answer:
that put into the advanced course is 396.75
Step-by-step explanation:
The computation of that put into the advanced course is shown below:
P(X>60)
= P((X - mean) ÷ s > (60 - 50) ÷ 10)
= P (Z > 1)
= 0.1587
It could be checked by the standard normal table
Now that put into the advance course is
= 2,500 × 0.1587
= 396.75
Hence, that put into the advanced course is 396.75
The expression x3(x−y)7−y3(x−y)7 can be rewritten as (x−y)m(x2+y2+nxy). What is the value of m ?
Answer:
m = 8Step-by-step explanation:
Given the expression:
x³(x−y)⁷−y³(x−y)⁷
This can also be written as (x³-y³)(x-y)⁷
(x³-y³)(x-y)⁷= (x-y)⁷ (x³-y³)
Expand (x³-y³)
x³-y³ = (x-y)(x²+xy+y²)
Substitute back into the original expression:
(x-y)⁷ (x³-y³) = (x-y)⁷(x-y)(x²+xy+y²)
(x-y)⁷ (x³-y³) = (x-y)⁸(x²+xy+y²)
(x-y)⁷ (x³-y³) = (x-y)⁸(x²+y²+xy)
Comparing the result with (x−y)^m(x^2+y^2+nxy).
(x-y)⁸ = (x-y)^m
m = 8
Also:
nxy = xy
n = xy/xy
n = 1
Hence the value of m is 8
The value of m is 8
The expression is given as:
[tex]x^3(x-y)^7-y^3(x-y)^7[/tex]
Factor out (x - y)^7 in the above expression
[tex]x^3(x-y)^7-y^3(x-y)^7 = (x^3 - y^3)(x -y)^7[/tex]
Expand out (x^3 - y^3) as the difference of two cubes
[tex]x^3(x-y)^7-y^3(x-y)^7 = (x-y)(x\²+xy+y\²)(x -y)^7[/tex]
Combine the common factors
[tex]x^3(x-y)^7-y^3(x-y)^7 = (x\²+xy+y\²)(x -y)^8[/tex]
Rewrite the expression as:
[tex]x^3(x-y)^7-y^3(x-y)^7 = (x -y)^8(x\²+xy+y\²)[/tex]
The expression format is given as:
[tex](x-y)^m(x^2+y2^+nxy)[/tex]
So, we have:
[tex](x-y)^m(x^2+y2^+nxy) = (x -y)^8(x\²+xy+y\²)[/tex]
By comparison, we have:
[tex]m = 8[/tex]
Hence, the value of m is 8
Read more about expressions at:
https://brainly.com/question/4344214
Solve the equation. m + (–4) = –9 5 36 –5 –13
4m + 9 + 5m – 12 = 42. A. m = 5 B. m = 4 C. m = –5 D. m = -4
!! PLEASE help !
Using two or more complete sentences, describe how you can find a vector parallel to b (-2,3) .
Any vector that points in the same or opposite direction would be parallel. So you can just scale (-2, 3) by any real number t to get the vector (-2t, 3t ).
For example, if t = -1, you get the vector (2, -3); if t = 2, you get (-4, 6).
Pete walks 2 miles in an hour. At this rate how many miles can Pete walk in 4 hours
Answer:
8 miles
Step-by-step explanation:
2 miles= an hour
4 miles= two hours
6 miles= three hours
8 miles = four hours
Answer:
8
Step-by-step explanation:
Use Pete's walking speed: 2 miles per hour × 4 hours = 8 miles.
Bryan wants to buy a new pair of jeans. If the jeans were originally $45.00, but are on sale with a 20% discount, how much will Bryan have to pay for the jeans?
Answer:
20% of 45= 9 so you would subtract 9 from 45 getting you 39
Step-by-step explanation:
45-9=39 he would have to pay $39
need help right now due today I will get brainiest with all the answers
Answer:
9. 9 1/2
10. 1 1/2
11. 15 3/4
12. 1 1/3
13. 12 stores sell shoes.
14. the area of the floor is 7,606.625 ft²
15. 3 1/3
16. 4 skateboards
hope this helps. have a good day
Erica’s parents gave her $500 for her high school graduation. She put the money into a savings account that earned 7.5% annual interest. She left the money in the account for nine months before she withdrew it. How much interest did the account earn if interest is paid monthly If she would have left the money in the account for another nine months before withdrawing, how much interest would the account have earned?
Answer:
$28.84
Step-by-step explanation:
That's for the first one that I found, the two other problems I don't know yet.
Simplify 5(x - 2) - 3x + 7.
A. 8x - 3
B. -10x + 25
C. 2x-5
D. 2x - 3
2x-3
Step-by-step explanation:
5(x-2) is 5x-10 then add the -3x + 7, add 5x and -3x to get 2x then add -10 and 7 and get 3 so its gonna be D. 2x-3
Answer:
D. 2x - 3
Step-by-step explanation:
5(x - 2) - 3x + 7 = 5 · x - 5 · 2 - 3x + 7 = 5x - 10 - 3x + 7 = 2x - 3
The two triangles shown are congruent: AFHG=AJKL. Based on this information,
which of the following is a true statement?
A) HELL
B) JK= FG
OC) GEL
D
c+6<-20 solve the inequality
Answer:
c < -26
Step-by-step explanation:
c+6<-20
Subtract 6 from each side
c+6-6<-20-6
c < -26
Step-by-step explanation:
c+6<-20
c < -20-6
c < -26
or
c ∈ 《-∞ ,-26》
__ + 15 - 15 = 21
what is the blank number
Answer:
Step-by-step explanation:
21 is the blank number as +15 and -15 cancels out
Answer:
the answer is 21
Step-by-step explanation:
A selfie ring light is originally priced at $55 is marked down 25%. What is the sale price?
Answer:
41.25
Step-by-step explanation:25% of 55 is 13.75
