a is a function
b is Not a function
c is a function
d is a function
The length of a rectangle is 7 centimeters greater than the width.
The perimeter is 54 centimeters. Find the length and width.
Answer:
length = 17cm, width = 10cm
Step-by-step explanation:
2L + 2w = 54
L = w + 7
Substitute:
2(w + 7) + 2w = 54
2w + 14 + 2w = 54
4w = 40
w = 10
L = 10 + 7 = 17
A clothing manufacturer uses the model a=f+4−−−−√−36−f−−−−−√ to estimate the amount of fabric to order from a mill. In the formula, a is the number of apparel items (in hundreds) and f is the number of units of fabric needed. If 4 apparel items will be manufactured, how many units of fabric should be ordered?
Questions:
A clothing manufacturer uses the model a = √(f + 4) - √(36 - f) to estimate the amount of fabric to order from a mill. In the formula, a is the number of apparel items (in hundreds) and f is the number of units of fabric needed. If 400 apparel items will be manufactured , how many units of fabric should be ordered?
Answer:
32 units of fabrics
Step-by-step explanation:
Given
[tex]a = \sqrt{f + 4} - \sqrt{36 - f}[/tex]
Required
Find f when a = 4
Substitute 4 for a
[tex]4 = \sqrt{f + 4} - \sqrt{36 - f}[/tex]
Rewrite as:
[tex]\sqrt{36 - f} + 4 = \sqrt{f + 4}[/tex]
Square both sides
[tex](\sqrt{36 - f} + 4)^2 = (\sqrt{f + 4})^2[/tex]
[tex](\sqrt{36 - f} + 4)^2 = f + 4[/tex]
[tex]36 - f + 8\sqrt{36 - f} + 16 = f + 4[/tex]
Collect Like Terms
[tex]8\sqrt{36 - f}= f +f+ 4 - 36 -16[/tex]
[tex]8\sqrt{36 - f}= 2f -48[/tex]
Divide through by 2
[tex]4\sqrt{36 - f}= f -24[/tex]
Square both sides
[tex]16(36-f) = (f - 24)^2[/tex]
[tex]16(36-f) = f^2 - 48f + 576[/tex]
[tex]576-16f = f^2 - 48f + 576[/tex]
[tex]-16f = f^2 - 48f[/tex]
Collect like terms
[tex]f^2 - 48f + 16f = 0[/tex]
[tex]f^2 -32f = 0[/tex]
Factorize
[tex]f(f - 32) = 0[/tex]
[tex]f = 0[/tex] or [tex]f = 32[/tex]
f can not be 0 because some units must be ordered.
So, f = 32
Write an equation in slope-intercept form of the line shown.
Answer:
y = 5/3x + 20/3
Step-by-step explanation:
Points on the graph: ( -4, 0) and (1, -5)
Slope:
m=(y2-y1)/(x2-x1)
m=(-5-0)/(1-4)
m=(-5)/(-3)
m=5/3
Slope-intercept:
y - y1 = m(x - x1)
y - 0 = 5/3(x + 4)
y = 5/3x + 20/3
PLEASE HELPP Find the value of x. Assume that segments that appear to be tangent are tangent. Round your answer to the nearest tenth.
The value of x assuming e that segments that appear to be tangent are tangent is 8
Circle geometryThe triangle inside the circle is right angles since the side length "x" is tangential to the circle.
To determine the value of "x", we will use the Pythagorean theorem as shown:
17^2 = x^2 + 15^2
289 = x^2 - 225
x^2 = 289 - 225
x^2 = 64
x = 8
Hence the value of x assuming e that segments that appear to be tangent are tangent is 8
Learn more on geometry here: https://brainly.com/question/24375372
#SPJ2
Answer:
Step-by-step explanation:
Help pls!! Which statement is true of the transformation from triangle ABC to triangle A’ B’ C’ ?
Answer:
corresponding
Step-by-step explanation:
corresponding side by a factor 2
Okay have posted the next one.
Answer: 1 and 3
Step-by-step explanation:
Write the correct ratio for each trig function. Be sure to simplify your fractions.
sin x =??
cos x =??
tan x =??
These are the options for all three: 5/13, 12/5, 12/13, 5/12, 13/5, 13/12.
Answer:
sin x = 36/39 = 12/13cos x =15/39 = 5/13tan x = 36/15 = 12/5In this triangle,
Base ( B ) = 15 Hypothenuse ( H ) = 39 Perpendicular ( P ) = 36Find :-sin x = ?
cos x = ?
tan x = ?
Solution :-sin x = Perpendicular / Hypothenuse
= 36 / 39 = 12 /13
cos x = Base / Hypothenuse
= 15 / 39 = 5/13
tan x = Perpendicular / Base
= 36 /15 = 12 / 5
help please its home work past due
i need help to find m<k
Answer:
angle k = 72
Step-by-step explanation:
Hey There!
When triangles are similar all of the angles that correspond with each other are congruent ( have the same value)
ex. angle g and angle m are corresponding so they both equal 70
So to find angle K we have to find the value of angle F (because they are corresponding)
So we are given two angles
remember that all angles in a triangle will add up to equal 180
so we subtract the given angles from 180 to find the missing angle
180-38-70=72
so angle F = 72
like stated earlier angle F and angle K are corresponding so if angle F equals 72 then Angle K = 72
A shipping container is in the shape of a right rectangular prism with a length of 10
feet, a width of 14 feet, and a height of 2 feet. The container is completely filled with
contents that weigh, on average, 0.8 pound per cubic foot. What is the weight of the
contents in the container, to the nearest pound?
Answer:
224 lbs
Step-by-step explanation:
V = xyz = 10(14)(2) = 280 ft³
280(0.8) = 224
For what values of x will this function be defined?
Answer:
U have to put up the graph or something so i can answer your question. thank you!
Step-by-step explanation:
Is each statement true for OP? Drag "true" or "false" below each statement.
Answer:
Step-by-step explanation:
True for the last two on the right and false for the first one
The measure of the angle ∠JKL is 230°, the area of the shaded and unshaded region is (230/18) × 5π and (325/9) × π. Then statements 1 and 3 are true and statement 2 is false.
What is a circle?It is a locus of a point drawn an equidistant from the center. The distance from the center to the circumference is called the radius of the circle.
The figure is given.
Radius (r) = 10 units
Then the sum of the angle should be 360 degrees for a circle. Then
130° + ∠JKL = 360°
∠JKL = 230°
The area of the shaded region will be
[tex]\rm Shaded \ area = \dfrac{230}{360}\times \pi 10^2\\\\Shaded \ area = \dfrac{230}{360}\times \pi 100\\\\Shaded \ area = \dfrac{230}{18}\times 5\pi \\[/tex]
Then the area of the unshaded region will be
[tex]\rm Unshaded \ area = \dfrac{130}{360}\times \pi 10^2\\\\Unshaded \ area = \dfrac{130}{360}\times \pi 100\\\\Unshaded \ area = \dfrac{325}{9}\times \pi \\[/tex]
More about the circle link is given below.
https://brainly.com/question/11833983
8. Write y-x-y-x in simplest form.
10 points
Answer:
Easy -2x
Step-by-step explanation:Because both a positive y and a negative y cancle out eachother so all thats left is both of the negative x's
4. Which of the following expressions shows how to use the quadratic formula to
solve 2x2-3x - 80?
А
-3 ± √(-3)² - 4(2)(-8)
2(2)
30 (-3)? - 4(2)(-8)
B
2(2)
-33-34 - 4(2)(-8)
С
2(2)
3+
D
- 4(2)(-8)
2(2)
Answer:
Can't read it
Step-by-step explanation:
The value of the cosine of an angle in Quadrant Il is given. cos theta= -2/5 What is sin theta? O- ✓29 5 V10 5 5 VI 21 5
Answer:
[tex]\frac{\sqrt{21} }{5}[/tex]
Step-by-step explanation:
Given
cosθ = - [tex]\frac{2}{5}[/tex]
Using the identity
sin²θ + cos²θ = 1 , then
sinθ = ± [tex]\sqrt{1-cos^20}[/tex]
= ± [tex]\sqrt{1-(-\frac{2}{5})^2 }[/tex]
= ± [tex]\sqrt{1-\frac{4}{25} }[/tex]
= ± [tex]\sqrt{\frac{21}{25} }[/tex]
= ± [tex]\frac{\sqrt{21} }{5}[/tex]
Since θ is in second quadrant the sinθ > 0 , thus
sinθ = [tex]\frac{\sqrt{21} }{5}[/tex]
Brianna measured a line to be 9.2 inches long. If the actual if the line is 7.7 inches, then what was the percent error of measurement, to the nearest tenth percent?
Answer:
12%
Step-by-step explanation:
hshwusujsjss8uhehhe8
You must scuba dive to the entrance of your room at Jules' Undersea Lodge in Key Largo, Florida. The diver is 1 foot deeper than $\frac{2}{3}$ of the elevation of the entrance. What is the elevation of the entrance?
Answer:
the elevation of the entrance is -21
Step-by-step explanation:
The computation of the elevation of the entrance is shown below;
-15 = -1 + 2 ÷ 3e
e = -21
Hence, the elevation of the entrance is -21
We simply applied the above equation so that we can determine the elevation of the entrance
Which expression is equivalent to 46 ⋅ 4−8?
Answer:
4^6 . 4^(-8) = 4^[6+(-8)] = 4^(6-8) = 4^(-2) = 1/4^2
Step-by-step explanation:
Hopes this helps
pls help will give brainliest
Answer:
63
Step-by-step explanation:
C=diameterxpi
or C=radius x 2 x pi
the radius is half of diameter so simplify to C=diamerter x pi
C=20x3.14
C=62.8
Answer:
c?.... 23 is the closest to 20...
Step-by-step explanation:
This is a math test soooo try your best. Answers are A. y=x- 2/3
B. y=-2/3x+1
C. y=-3/2x+1
D. y=x-3/2
Answer:
B
y int is 1, so we know it is +1
Slope is -2/3 :)
Which lines are perpendicular to 3x + y = 5? Select all that apply.
3x + y = 5
y = -3x + 5 --- (y = mx + c)
m = -3 (slope)
so, perpendicular slope = 1/3
Please help I’m getting bots
Find the distance between the points (4, 2) and (-4, -4).
Write your answer as a whole number or a fully simplified radical expression. Do not round.
___ units
Answer:
10
Step-by-step explanation:
try using math way. i use it all the time
The volume of a right circular cylinder with a base diameter of 8 in. and a height of 6 in. is ___π in3.
Answer:9
Step-by-step explanation:
This can is a right circular cylinder with a diameter of 5 inches and a height of 5 inches. What is the surface area of the can in terms of π?
x=5/2; f(x) = (12/15)x -200 =
Answer:
The answer would be the letter c
Find the sum and express it in simplest form. (3a^2 + 2a) + (5a^-a -7)
Answer:
8a^2+a-7
Step-by-step explanation:
Classify the polynomial.
-3y² – 2y + 4y - 1
( − 8 , 7 ) , ( − 2 , 0 ) , ( 1 , 11 ) , ( 4 , 1 ) , ( 13 , 6 ) Which ordered pair could be added to the set so that the set remains a function?
Answer:
(5,2) i believe
Step-by-step explanation:
WILL GIVE 50 POINTS AND BRAINLIEST!
Write as a square of a binomial: 4.8xy+36y^2+0.16x^2
Answer:
(6y+0.4x)^2
Step-by-step explanation:
i just did my rsm hw so if ur here from that it's the right answer :)
(6y+0.4x)^2 Is the answer
Mouse mouse mouse
Jerry wants to buy 4 Michelin tires. Each tire costs $213.99. Calculate his total price if the tax rate is 7.25%.
Answer:
$918.02
Step-by-step explanation:
As each tire costs $213.99, you will be multiplying that by 4:
$213.99*4 = $855.96
Now you will have to add the tax to the price. You will do the following:
$855.96*.0725 = 62.0571
You will round that to $62.06
$855.96+$62.06
The total would be $918.02
please help me answer this for a test and please explain reasoning behind your answer.
Answer:
c is the ans because l ans m r || so angle are sam the ans is 64
A rectangle has an area of 150 square units. The width of the rectangle is 10 units and its
length is x units longer than its width.
Solve the equation 150 = 10(x + 10) to find the value of x.