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
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The answer is 72. 3•4•6=72 That is the volume of the figure.
Pietro has $75. He used 3/5 of his money to buy a new pair of running shoes. How much did Pietro spend on his new shoes
Step-by-step explanation:
HI Sofia!
So this is how you find the answer.
Amount of money pietro has=$75
Amount of money he spent on shoes=3/5 of 75
=3/5*75= 45
Thus, Pietro spent $45 on shoes.
Answer:
45 dollars
Step-by-step explanation:
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
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 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
please please help me with this
Answer:
The area of the triangle is six square metres.
Step-by-step explanation:
The area of the triangle is half the area of the rectangle that it fits in. This one is particularly simple, as it's a right triangle and we're given its width and height, so it's area is:
w × h ÷ 2
= 3 × 4 ÷ 2
= 3 × 2
= 6
Water World charges customers $50 per day to rent a canoe and $25 as a nonrefundable insurance fee.
Which function represents the total cost, y, of renting a canoe for x days at Water World?
Answer:
y=50x+25
The x days would multiply by 50 and adding 25 to 50x to get y.
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
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.
I’m stuck, please help!
Answer:
m∠1 - 43°
m∠2 - 43°
m∠3 - 18°
m∠4 - Don't know
m∠5 - 18°
m∠6 - 18°
m∠7 - 43°
Please mark me Brainliest
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
Which list shows the sides in order from shortest to longest
D is the right answer
hope it helps you ❣❣
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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
( − 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:
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?
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
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
ABC
Tools -
Question 13
A tree casts a shadow 12 meters long, while a nearby building casts a shadow that is 6 feet long. If the tree
is known to be 20 meters high, how tall is the building?
Answer:
10
Step-by-step explanation:
if the shadows are half of each other then the building is going to be half of the tree
Find the sum and express it in simplest form. (3a^2 + 2a) + (5a^-a -7)
Answer:
8a^2+a-7
Step-by-step explanation:
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:
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 :)
how many years to double investment if interest rate is .10%
Answer:
How the Rule of 72 Works. For example, the Rule of 72 states that $1 invested at an annual fixed interest rate of 10% would take 7.2 years ((72/10) = 7.2) to grow to $2. In reality, a 10% investment will take 7.3 years to double ((1.107.3 = 2). The Rule of 72 is reasonably accurate for low rates of return.
Step-by-step explanation:
For example, if you invest $10,000 at 10 percent compound interest, then the “Rule of 72” states that in 7.2 years you will have $20,000. You divide 72 by 10 percent to get the time it takes for your money to double. The “Rule of 72” is a rule of thumb that gives approximate results
x=5/2; f(x) = (12/15)x -200 =
Answer:
The answer would be the letter c
help please this i will mark brainliest please
Step-by-step explanation:
please complete your question
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
f(x)=x2+3x and g(x)=2x2, find (f ∘ g)(−1).......................................
Answer:
Step-by-step explanation:
just think of the parts of an equation as just regual number
a = 5 b = 8 a × b = 5 × 8 = 40
now f(x) = x² + 3x and g(x) = 2x²
f(x) × g(x) = (x² + 3x) × (2x²)
= (x² × 2x²) + (3x × 2x²)
= 2x^4 + 6x^3
f(x) × g(x) = 2x^4 + 6x^3 < ------------------ FINAL ANSWER
let x =2 in (x² + 3x) × (2x²)
(2² + 3×2) × (2×2²) = (4+6) (8) = (10×8) = 80
f(x) × g(x) = 2x^4 + 6x^3
= 2×16 + 6×8
= 32 + 48
= 80 it checks as correct
find the value of x so that l m 53 (8x-9) state the convers used
Answer:
53 • (8x - 9)
Step-by-step explanation:
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
Okay have posted the next one.
Answer: 1 and 3
Step-by-step explanation: