Answer:
In summary, the translation and scale factor are:
Translation: (x,y)↦(x+5,y+4)
Scale factor: 2
Step-by-step explanation:
find the missing length of the triangle
Answer:
B) 28 in
Step-by-step explanation:
Pythagorean thm formula:
a² + b² = c²
Given:
b = 45
c = 53
Work:
a² + b² = c²
a² + 45² = 53²
a² + 2025 = 2809
a² = 2809 - 2025
a² = 784
[tex]\sqrt{a^2} =\sqrt{784}[/tex]
a = 28
5-ſ
To rationalize the denominator of
9-14 · you should multiply the expression by which fraction?
5+√7
9-14
9- V14
9-√14
9+ 14
9+ V14
14
14
We should multiply the expression by (9+√14) fraction.
What is the fundamental principle of multiplication?Multiplication is the mathematical operation that is used to determine the product of two or more numbers.
To rationalize the terms, we multiply both the denominator and denominator by the conjugate of the denominator.
The denominator is 9-√14 and its conjugate is; (9+√14).
(5-√7)/(9-√14) = (5-√7)(9+√14)/(9-√14)(9+√14)
= (5-√7)(9+√14)/(9²-14)
= (45 + 5√14 - 9√7 - √98)/(81-14)
= (45 + 5√14 - 9√7 - √98)/67
= (45 + 5√14 - 9√7 - 7√2)67
This is the rationalized expression.
The denominator is (9-√14) and its conjugate is (9+√14).
Learn more about multiplications;
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What is the approximate volume of the cone? Use 22 for it. Enter your answer in the box.
3 cm
14 cm
About
cm3
Step-by-step explanation:
[tex] \frac{1}{3} ( \frac{22}{7} ) {(3)}^{2} (14) \\ \frac{1}{3} ( \frac{22}{7})(9)(14) \\ \frac{1}{3}( \frac{22}{7}) (126) \\ 42( \frac{22}{7}) \\ \frac{924}{7} \\ 132{cm}^{3} [/tex]
A school uses the function p(t)=t2−20t+175 to model the profit (in dollars) expected in a weekend when the tickets are sold at a certain price, t, to the school musical go on sale a. Write an equation to find out the prices at which the school would earn $100 in profit from the school musical each weekend. b. Find out at what prices the tickets should be sold at to make a $100 profit each weekend. SHOW ALL WORK.
Answer:
[tex](a)\ t^2 - 20t + 75= 0[/tex]
[tex](b)[/tex] [tex]t = 5; t -=15[/tex]
Step-by-step explanation:
Given
[tex]p(t) = t^2 - 20t + 175[/tex]
Solving (a): Equation when profit = 100.
This implies that:
[tex]p(t) =100[/tex]
So, we have:
[tex]100 = t^2 - 20t + 175[/tex]
Rewrite as:
[tex]t^2 - 20t + 175 - 100 = 0[/tex]
[tex]t^2 - 20t + 75= 0[/tex]
Solving (b): Calculate t, in (a)
In a, we have:
[tex]t^2 - 20t + 75= 0[/tex]
Expand
[tex]t^2 - 15t -5t + 75= 0[/tex]
Factorize
[tex]t(t - 15) -5(t - 15)= 0[/tex]
Factor out t - 15
[tex](t - 5)(t - 15)= 0[/tex]
Split
[tex]t - 5 = 0; t - 15 =0[/tex]
Solve
[tex]t = 5; t -=15[/tex]
The prices are $5 and $15, respectively
Find the gradient of the following line
2
The height in meters of a projectile involves the object's initial height,
upward velocity, and acceleration because of gravity. If the equation
y =- 9.8t + 109.7t + 7.4 models the number of meters, y, a toy rocket
is above the ground t seconds after being launched, what does the 7.4
represent?
Answer: Initial height before launch
Step-by-step explanation:
Given
The equation [tex]y=-9.8t+109.7t+7.4[/tex] the height of toy rocket after t sec
when the rocket is launched, time is [tex]t=0[/tex]
Substituting 0 for [tex]t[/tex] in the equation
[tex]\Rightarrow y(0)=-9.8(0)+109.7(0)+7.4\\\Rightarrow y(0)=7.4[/tex]
Here, [tex]7.4[/tex] represents that rocket is already at a height of [tex]7.4[/tex] m before the launch.
If two-point charges, 2000 meters apart, have charge values of 40 C and -40 C, respectively, what is the value of the mutual force between them? (Coulomb's constant = 9.0 x 109 N•m2/C2).
Answer:
The value of the mutual force between them is 3.6 x 10⁶ N
Step-by-step explanation:
Given;
distance between the two-point charges, r = 2000 m
the value of the two-point charges, q₁ and q₂ = 40 C and -40 C
Coulomb's constant, k = 9 x 10⁹ Nm²/C²
The value of the mutual force between them is calculated by applying Coulomb's law;
[tex]F = \frac{K|q_1|q_2|}{r^2} \\\\F = \frac{(9 \times 10^9)(40\times 40)}{(2000)^2} \\\\F = 3.6 \times 10^6 \ N[/tex]
Therefore, the value of the mutual force between them is 3.6 x 10⁶ N.
Divide $81 in ratio 4:5
Answer:
36:45
Step-by-step explanation:
$81. u add the ratios 4+5=9
$81/9=9
9*4=36
9*5=45
plz answer will give brainliest
Answer:
She will need 21.3 total wire.
Answer:
21.26 ft
Step-by-step explanation:
For calculating, you need to use the Pythagorean theorem:
length of one cable = [tex]\sqrt{7^2+8^2}[/tex]= 10,63 ft
length of two cable = 10,63*2 = 21,26 ft
A pyramid has a square base of 14cm and a height is 19 cm and slanted height is 21cm. Find its total surface area and it's volume
Answer:
Total surface area=728cm^2
Volume of pyramid=1241.33 cm^3
Step-by-step explanation:
Given data
Square base= 14cm
Height= 19cm
Slant height = 21cm
Area of all four triangular surfaces= 1/2B*H*4
Area of all four triangular surfaces= 1/2*14*19*4
Area of all four triangular surfaces= 1/2*1064
Area of all four triangular surfaces=532 cm^2
Area of square base= 14^2
Area of square base=196cm^2
Total surface area= Area of all four triangular surfaces+Area of square base
Total surface area=532+196
Total surface area=728cm^2
Volume of pyramid= a^2h/3
Volume of pyramid= 14^2*19/3
Volume of pyramid= 196*19/3
Volume of pyramid=3724/3
Volume of pyramid=1241.33 cm^3
Help pleaseee anyone??
It 's c my friend
okayyyyyyyyyyyyyyy
And please help me with this one too!! Thank you!!
Answer:
math.way
Step-by-step explanation:
Answer:
Step-by-step explanation:
y^2=49
y=[tex]\sqrt{49}[/tex]
y=7
Find the value of x that makes ABCD a parallelogram.
D
с
X + 40°
70°
70°
X + 40°
А
B
O A. x = 40°
B. x = 50°
O c. x = 70°
O D. x = 30°
HELPPP MEEE PLSSS ASAPPPP !!!!!
The value of x that makes ABCD a parallelogram is C. x = 70°.
What is Parallelogram?Parallelogram is a type of polygon with four sides, four angles and four vertices. It is a type of Quadrilateral.
Opposite sides are parallel, and the opposite sides and opposite angles are equal.
Given that ABCD is a parallelogram.
We know that opposite angles of a parallelogram are equal.
It is already given.
Also, adjacent angles of a parallelogram is equal to 180°.
So,
x + 40 + 70 = 180
x + 110 = 180
x = 180 - 110
x = 70
Hence the correct option is C. x = 70°.
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Can someone please help me with number 4 ASAP please and ty!
Answer:
Option DStep-by-step explanation:
Here,
3x - 5
There is 3 as coefficient of x and -5 constant.
Hence,
Option D is correct
Can someone pls help I’ll mark brainliest
Answer:
I think it is the 5th one if im wrong i am sorry
Step-by-step explanation:
Answer:
E.
Step-by-step explanation:
I suck at math help if you know and explain plz and thank you!
Answer:
13Y
Step-by-step explanation:
7+6 = 13
Answer:
Step-by-step explanation:
7y+6y
y(7+6)
y*13
13y
Or
since they are like term u simply add them
7y+6y
13y
Is (–9, 7) a solution to this system of inequalities?
x + y ≤ –7
7x − 4y > –4
Answer:
No
Step-by-step explanation:
[tex]7x-4y>-4[/tex]
[tex]7(-9)-4(7)>-4[/tex]
[tex](-63)-(28)>-4[/tex]
[tex](-91)>-4[/tex]
[tex](-9,7)[/tex] is not a solution to the system of inequality
What is 972 written in standard form
A rectangular block of wood measures 5 inches wide. Over time, the width of the block of wood will shrink by 5%. A builder lets the block of
wood shrink. He wants to use it to fill a gap that measures 3.5 inches wide.
How much does the builder need to cut off the wood block so that it will fit exactly in the gap? Enter the answer in the box.
Answer:
He will have to cut off 1.25 inches.
Step-by-step explanation:
Take 5% of 5 inches
0.05(5)=0.25 inches
5 inches - 0.25 inches= 4.75 inches
4.75 inches is how wide the wood is after it shrinks.
Find how much he needs to cut off
4.75 inches - 3.5 inches=1.25 inches
He will need to cut off 1.25 inches in order for the block to fit exactly.
The solid triangular prism shown below is made from metal . The prism is melted down and the metal is used to create a solid cube. Find the side length of the cube. For the triangle, the base is 9cm, Height is 4cm, and Length is 12cm.
Answer:
6 cm
Step-by-step explanation:
Given :
base is 9cm, Height is 4cm, and Length is 12cm.
Volume of triangular prism :
V = 1/2 * base * height * length
V = 1/2 * 9 * 4 * 12
V = 9 * 2 * 12
V = 216 cm³
Volume of a cube = a³
Where , a = side length
If 216cm³ is melted to form a cube
Then ;
a = 216^1/3
a = 6 cm
which choices are equivalent to the exponential expression below?
Answer:
The answer is
B
D
F
Step-by-step explanation:
Squaring a fraction is like squaring a whole number really so you just square the fraction by multiplying it by itself.
soloman is given a 25% discount on a bike priced at $460.00 how much will soloman pay for the bike
If you flew 8000 miles in 20 hours what was your unit rate
Answer:
400 miles per hour
Step-by-step explanation:
8000 miles ÷ 20 = 400 Miles
20 hours ÷ 20 = 1 hour
HELP QUICK PLS USIFHKDJGS
Answer:
4 x 3 = 12
2 x 3 = 6
12 + 6 = 18 cubic cm
Answer:b
Step-by-step explanation:
help plzzzz i need to find the volume of the cone
Answer:
2h3-r5
Step-by-step explanation:
first 3-2=5
then 2h3-r=2h3-r5
finally 2h3-r5
Answer:
3.28653¯V7h
Step-by-step explanation:
What is 2 of 1,800,000÷3?
Answer:
Of is a keyword for multiplication.
So, your equation is really 2 X 1,800,000÷3=?
Final answer: 1,200,000
Step-by-step explanation:
Hope that this helps! :)
Have a great rest of your day/night!
the table shows some of the solutions for an inequality related to the line shown in the graph. which inequality describes the solution set?
Answer:
Option B
Step-by-step explanation:
By plotting the points given in the table,
All points lie below the dark red line.
Let the equation of the line is,
y - y' = m(x - x')
Here, m = Slope of the line
(x', y') is a point lying on the given line.
Slope of the line passing through two points (-1, 3) and (0, 1) = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
m = [tex]\frac{3-1}{-1-0}[/tex]
m = -2
Therefore, equation of the line passing through (0, 1),
y - 1 = -2(x - 0)
y = -2x + 1
Since all the points given in the table lie below the dark red line so the solution are will be,
y ≤ -2x + 1
Option B will be the correct option.
hey! i’ll give brainliest please help
Answer:
subject
Step-by-step explanation:
subject is a noun (person, place or thing)
verb is doing something *example: running
object is a thing *example: apple
conjunction is a word used to connect sentences *example: but
The speeds of cars on a given i street we are normally distributed with a mean of 72 miles per hour and a standard deviation of 3.2 miles per hour. What percent of drivers are traveling between 70 and 80 miles per hour based on this distribution
Answer: 72.78% of the drivers are traveling between 70 and 80 miles per hour based on this distribution.
Step-by-step explanation:
Let X be a random variable that represents the speed of the drivers.
Given: population mean : M = 72 miles ,
Standard deviation: s= 3.2 miles
The probability that the drivers are traveling between 70 and 80 miles per hour based on this distribution:
[tex]P(70\leq X\leq 80)=P(\frac{70-72}{3.2}\leq \frac{X-M}{s}\leq\frac{80-72}{3.2})\\\\= P(-0.625\leq Z\leq 2.5)\ \ \ \ \ [Z=\frac{X-M}{s}]\\\\=P(Z\leq2.5)-P(Z\leq -0.625)\\\\\\ =0.9938-0.2660\ \ \ [\text{Using p-value calculator}]\\\\=0.7278[/tex]
Hence, 72.78% of the drivers are traveling between 70 and 80 miles per hour based on this distribution.
Write an inequality, in slope-intercept form, for the graph below. If necessary,
use '<="for < or ">" for >.
(-3,0)
X
5
(0, -3)
-5
Given:
The graph of an inequality.
To find:
The inequality in slope intercept form.
Solution:
The slope intercept form is:
[tex]y=mx+b[/tex]
Where, m is slope and b is y-intercept.
From the given graph it is clear that the boundary line passes through the points (-3,0) and (0,-3).
[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
[tex]y-0=\dfrac{-3-0}{0-(-3)}(x-(-3))[/tex]
[tex]y=\dfrac{-3}{3}(x+3)[/tex]
[tex]y=-1(x+3)[/tex]
[tex]y=-x-3[/tex]
From the given graph it is clear that the boundary line is a solid line and the shaded region lies above the line, so the sign of inequality must be "≥".
[tex]y\geq -x-3[/tex]
Therefore, the required inequality is [tex]y\geq -x-3[/tex].