Answer:
The answer is 33.31
Step-by-step explanation:
-41/2 ×-13/8
-41×-13 = 533
2×8=16
therefore, 533/16
ans= 33.31
I hope this helps.
21. What is the perimeter of the triangle?
18.2 units
18.3 units
9 units
15.5 units
(1,6)
(3, 1)
(6, 1)
Answer:
C) 15.5 units
Step-by-step explanation:
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
The domain of the function f(x) = 3x3 is {2, 5}. What is the function’s range?
The range of the function f(x) = 3x3 when its domain is {2, 5} is
The range of the function f(x) = 3x3 when its domain is {2, 5} is {24, 375}
Domain and range of a functionThe domain is the independent value for which a function exists.
Given the function below;
f(x) = 3x^3
If the domain of the function is {2, 5}, the range are;
If x = 2
f(2) = 3(2)^3
f(2) = 3(8)
f(2) = 24
If x = 5
f(5) = 3(5)^3
f(5) = 3(125)
f(5) = 375
Hence the range of the function f(x) = 3x3 when its domain is {2, 5} is {24, 375}
Learn more on range of a function here: https://brainly.com/question/1942755
#SPJ1
Consider the transformation shown. 2 triangles are shown. The first is labeled pre-image and the second is labeled image. Both triangles have congruent angle measures. The pre-image has side lengths of 6, 10, and 8. The image has side lengths of 3, 5, and 4. Use the drop-down menus to complete the sentence. The transformation is because the preserved
The transformation is nonrigid because the segment lengths are not preserved.
How to determine the transformation?The image related to the question cannot be found. However, the question can still be solved
The given parameters are:
Triangle 1: 6, 10 and 8Triangle 2: 3, 5 and 4From the question, we understand that the side lengths are not equal.
This means that the triangles are dilated.
And the scale factor of dilation is
Scale factor = 6/3 = 10/5 = 8/4
Scale factor = 2
The scale factor of dilation is 2
Dilation is a non rigid transformation.
Hence, the transformation is nonrigid because the segment lengths are not preserved.
Read more about dilation at:
https://brainly.com/question/3457976
#SPJ1
Answer:
The transformation is nonrigid because the segment lengths are not preserved.
The function f(x) = − x^2+ bx +1 is shown in the graph. What is the value of b?
Answer:
b = 4
Step-by-step explanation:
the equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k ) are the coordinates of the vertex and a is a multiplier
here ( h, k ) = (2, 5 ) , then
y = a(x - 2)² + 5
to find a substitute any point on the parabola into the equation
using (0, 1 ) then
1 = a(0 - 2)² + 5 ( subtract 5 from both sides )
- 4= a(- 2)²= 4a ( divide both sides by 4 )
- 1 = a
then
y = - ( x - 2)² + 5
= - (x² - 4x + 4) + 5
= - x² + 4x - 4 + 5
= - x² + 4x + 1 ← in the form ax² + bx + c
with b = 4
A circle inside of a square. The square has side lengths of 5 meters.
Tariq also designs hot tubs. The diameter of the hot tub is 3 meters. What is the area of the deck that surrounds the hot tub? If necessary, round to the nearest tenth.
Answer:
the area is 25/4 π
Step-by-step explanation:
diameter is 5 m
area will be 25/4π
Answer:
17.9 m²
Step-by-step explanation:
The area of the deck is the difference between the area of the square and the area of the circular hot tub.
__
square areaThe area of the square is given by the formula ...
A = s² . . . . where s is the side length
For a side length of 5 m, the area is ...
A = (5 m)² = 25 m²
circle areaThe area of a circle is found from the formula ...
A = (π/4)d² . . . . where d is the diameter
For a diameter of 3 m, the area is ...
A = (π/4)(3 m)² = 9/4π m² ≈ 7.069 m²
deck areaThe area of the deck is the difference between the square area and the circle area:
deck area = 25 m² -7.069 m² ≈ 17.9 m²
The area of the deck surrounding the hot tub is about 17.9 m².
Loss = 10% VAT=13% SP WITH VAT=25,425 now calculate CP
The cost price of the product will be 25000.
How to calculate the price?From the information given, the cost price is 25000. The loss is 10%. This will be:
= 25000 - (10% × 25000)
= 25000 - 2500
= 22500
The tax is 13%. This will be:
= 22500 + (13% × 22500)
= 22500 + 2925
= 25425
Learn more about price on:
brainly.com/question/1153322
#SPJ1
Andy spent $55 in all to purchase 20 two-dollar and five-dollar toys. How many two-
dollar toys did he buy? How many five-dollar toys did he buy?
same side interior angles are _____ congruent
A.always
B.never
C.sometimes
Answer:
B. Never
Step-by-step explanation:
that's just what my math teacher told us...
$50 item discounted 30%
Answer:
$15 is the answers
Step-by-step explanation:
please mark me as brainlest
Answer:
$ 35.00 is what you pay $15.00 off original price
Step-by-step explanation:
30 % discount means you pay 70 %
$ 50 * .70 = $ 35 .00
A scale model of a statue has a height of 20 cm. The real statue has a height of 2 m. The model and statue are both made of the same stone which has a density of 1.8 g/cm3. The mass of the real statue is 104.4 kg. Find the volume of the model in cm3
The volume of the model in cm³ is 52.2 if the scale model of a statue has a height of 20 cm. The real statue has a height of 2 m
What is density?It is defined as the mass-to-volume ratio. The density indicates the object's density and is represented by the symbol. The density is measured in kilograms per cubic meter.
A scale model of a statue has a height of 20 cm.
The formula for density:
D = mass/volume
Volume = base area×hieght
104.4 kg = 104400 grams
2 m = 200 cm
Volume = Mass/D
Volume(real statue) = 104400/200 = 522 cubic cm
Scale factor = 20/200 = 1/10
Volume of model statue = 522(1/10) = 52.2 cubic cm
Thus, the volume of the model in cm³ is 52.2 if the scale model of a statue has a height of 20 cm. The real statue has a height of 2 m
Learn more about the density here:
brainly.com/question/952755
#SPJ1
Find cos (330°). Your answer MUST be in radical form.
Step-by-step explanation:
square root 3 divided by
2
Suppose y varies directly as x², and y = 160 when x = 4. Find y when x = 6.
Finding the constant of proportionality :
y = kx²160 = k(4)²k = 10Finding y when x = 6 :
y = 10(6)²y = 10(36)y = 360The value of y is 360 when x = 6.
Paolo and Monika are both travelling by train.
Paolo's train travels 70 km in 35 minutes.
Monika's train travels 684 km.
It leaves at 16:15 and arrives at 20:45.
Work out the difference, in km/h, between the average speed of their trains.
Answer:
32 km/hr
Step-by-step explanation:
Firstly, you need to find the speed of both trains in km/hr.
Paolo's train= (70km x 60hr)/35= 120 km/hr
Monika's train= 684km/4.5hr= 152 km/hr
Then find the difference in speed:
152-120=32 km/hr
Given the function f(x) = −5x2 − x + 20, find f(3).
Answer:
123icuxxiffatjtjfug8utkxi93hkgodo c office c 8f
What are the roots of the polynomial equation x cubed minus 5 x 5 = 2 x squared minus 5? use a graphing calculator and a system of equations. round noninteger roots to the nearest hundredth.
The solution to the equation of the polynomial function x³-5x+5 = 2x²-5 is (c) –2.24, 2, 2.24.
What is Polynomial Equation?
A polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables.
Here, The function is given as:
x³-5x+5 = 2x²-5
Split the function.
So, we have:
y = x³-5x+5
y = 2x²-5
Using a graphing calculator, we have the x coordinate at the point o intersection of both equations to be
x = –2.24, 2, 2.24
Hence, the solution to the equation is (c) –2.24, 2, 2.24
Learn more about system of equations at:
brainly.com/question/14323743
#SPJ1
The equation of a circle is (x-2)2+(y-6)2=25. What is the radius of the circle?
Answer:
radius = 5
Step-by-step explanation:
the equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k ) are the coordinates of the centre and r is the radius
(x - 2)² + (y - 6)² = 25 ← is in standard form
with r² = 25 ( take the square root of both sides )
r = [tex]\sqrt{25}[/tex] = 5
On a number line, 2.5 would be located ______. Choose all answers that make a true statement.
2.5
《----|----|----|----|----|----|----|----|----|----|----》
A. to the right of 2.52
B. between 2.45 and 2.55
C. to the left of 2.3
D. between of 2.4 and 2.6
Answer:
It is both answers B and D
(X-5)\(3x^2-14x-5) solve by polynomial long division
Answer: 3x+1
Step-by-step explanation: See attachment
The point (0, 0) is a solution to which of these inequalities?
O Ay+7<2x - 6
OB. y-7<2x-6
OC. y-6<2x-7
OD. y+7<2x+6
The point (0, 0) is a solution to which of these inequalities are satisfied. so option B. y-7<2x-6is the only correct answer.
What is inequality?Inequality is defined as the relation which makes a non-equal comparison between two given functions.
The point (0, 0) is a solution to which of these inequalities are satisfied.
A. y+7<2x - 6
7 < -6
So, it is incorrect.
B. y-7<2x-6
-7 < -6
So, it is correct.
C. y-6<2x-7
-6 < -7
So, it is incorrect.
D. y+7<2x+6
7 < 6
So, it is incorrect.
Hence, option B is the only correct answer.
Learn more about inequality ;
brainly.com/question/14164153
#SPJ1
What is the measure of \angle x∠xangle, x?
Angles are not necessarily drawn to scale.
Answer:
x=135°
Step-by-step explanation:
WZ is 180 degrees. Simply subtract 48 from 180.
180-45=135.
Hope this helps!
If not, I am sorry.
Answer:
The answer is 132
Step-by-step explanation:
For khan academy
25.
A ladder stands against a wall at an angle of 45° to the floor. The foot of the ladder is 3 m
from the wall. If the ladder slides 1 m down the wall, then the angle between the ladder
and the floor is such that:
Using the slope concept, it is found that the angle between the ladder and the floor will be of 33.69º.
What is a slope?The slope is given by the vertical change divided by the horizontal change, and it's also the tangent of the angle of depression.
In this problem, we have that:
The angle is of 45º.The vertical distance is the height of h.The horizontal distance is of 3m.Hence:
tan(45º) = h/3.
1 = h/3.
h = 3 m.
If the ladder slides 1 m down, the height will be of 2m, hence the angle will be given as follows:
[tex]\tan{\theta} = \frac{2}{3}[/tex]
[tex]\theta = \arctan{\left(\frac{2}{3}\right)}[/tex]
[tex]\theta = 33.69^\circ[/tex]
More can be learned about the slope concept at https://brainly.com/question/18090623
#SPJ1
(12 ÷ 3) + 3+ (16-7) × 4
Answer: 43
Step-by-step explanation:
Step 1: Simplify inside the parenthesis
(12 ÷ 3) + 3+ (16-7) × 4
4 + 3 + 9 × 4
Step 2: Multiply 9 by 4
4 + 3 + 36
Step 3: Combine Like Terms
43
Round 38.856 to the nearest tenth
Answer:38.9
Step-by-step explanation:
9.25(18.4-2.1.2)
Please hurry I need to Finnish 2 more pages today
Step-by-step explanation:
9.25( 18.4 - 2.12)
9 × 25 ( 18×4 - 2× 1.2) (multiply)
9.25 ( 72 - 2.4) ( calculate)
9×25×69.5 (calculate)
(answer) 1566
Taylor walks 7 miles in 2 hours. At what unit rate does Taylor walk?
O A.
OB.
O C.
O D.
2 miles
7 hours
7/2 miles
1 hour
7 miles
2 hours.
2 hours
7 miles
SUBMIT
Answer:
B. 7/2 miles per 1 hour
Step-by-step explanation:
The unit rate in this case ,means ,
the number of miles for every 1 hour
Since Taylor walks 7 miles in 2 hours
Then
He walks 7/2 miles in 1 hour
Thus
The unit rate that Taylor walks at is :
7/2 miles per 1 hour
what is the value of x in the equation
(3x+5)/2=(5x+3)/3
Answer:
x=9
Step-by-step explanation:
Find the equation of the line through point (8,−9) and perpendicular to 3+8=4.
The equation of the line through the point (8,−9) and perpendicular to 3x+8y=4 is given by 8x - 3y = 91.
We are aware that any straight line's equation can be expressed as
y = mx + c,
where m denotes the slope and c denotes a constant.
Also, two perpendicular lines' slopes are the negative reciprocals of one another.
Here, the equation of the given straight line is
3x+8y=4
i.e. 8y = 4 -3x
i.e. y = (4/8) - (3/8)x
Now the negative reciprocal of - 3/8 is 8/3.
Then we can write the equation of the perpendicular line is
y = (8/3)x + c ...(1)
Since (1) passes through the point (8, -9), so we can put x = 8 and y = -9 in (1) to get the value of c.
So, -9 = (8/3)*8 + c
i.e. -9 = 64/3 + c
i.e. c = -9 -64/3 = - (27 + 64)/3 = - 91/3
(1) can be written as
y = (8/3)x - (91/3)
i.e. 3y = 8x - 91
i.e. 8x - 3y = 91
Therefore the equation of the line through the point (8,−9) and perpendicular to 3x+8y=4 is given by 8x - 3y = 91.
Learn more about perpendicular lines here -
https://brainly.com/question/12209021
#SPJ10
PLEASE HELP GEOMOTRY"the ratio of the angles of a pentagon is 1:2:2:3:4 find the largest angle"
The largest angle of the pentagon with the given ratio of angles is: 180°.
What is a Pentagon?A pentagon is a 5-sided polygon with 5 interior angles that have a sum of 540 degrees.
If the ratio of the angles are: 1:2:2:3:4, then the largest angle would be calculated as shown below:
4/(1+2+2+3+4) × 540
4/12 × 540 = 180°
The largest angle is: 180°.
Learn more about pentagon on:
https://brainly.com/question/1419173
#SPJ1
Find a polynomial function of least degree having only real coefficients, a leading coefficient of 1, and roots of 1-√6 , 1+ √6 , and 7-i
Step-by-step explanation:
Use this algebra 2 theorem:
If r and q are roots of a polynomial function then
the polynomial function can be expressed as
[tex](x - r)(x - q)[/tex]
Here the roots are
1- root of 6, 1+ root 6, and. 7-i so our. function can be expressed as
[tex](x - (1 - \sqrt{6} ))(x - (1 + \sqrt{6} ))(x - (7 - i))[/tex]
The first two binomials are difference off squares so the we have
[tex] {x}^{2} + x( - 1 + \sqrt{6} ) + x( - 1 - \sqrt{6} ) + ( - 5)[/tex]
[tex] {x}^{2} - 2x - 5[/tex]
The other root is (7-i).
Also note since (7-i) is a root, then (7+I) is also a root.
So
[tex](x - (7 - i)(x - (7 + i)( {x}^{2} - 2x - 5)[/tex]
[tex]( {x}^{2} - 14x + 50)( {x}^{2} - 2x - 5)[/tex]
Simplify and it gives us
[tex] {x}^{4} - 16 {x}^{3} + 73 {x}^{2} - 30x - 250[/tex]
a paperweight has height 4cm and volume 38.4cm3.
a mathematically similar paperweight has height 7cm.
calculate the volume of this paperweight.
The similar paperweight has a volume of 67.2 cubic cm if the height is 7 cm.
What is volume?It is defined as a three-dimensional space enclosed by an object or thing.
As we know,
Volume = base area×height
38.4 = base area×4
base area = 38.4/4 = 9.6 square cm
A mathematically similar paperweight has a height of 7 cm.
Volume = base area×height
Volume = 9.6×7 = 67.2 cubic cm
Thus, the similar paperweight has a volume of 67.2 cubic cm if the height is 7 cm.
Learn more about the volume here:
https://brainly.com/question/16788902
#SPJ1