Answer:
where is the Image to show it?
A company is looking to cover a floor in their office with wood. How many square yards of wood does the company need to cover the floor?
Answer:
[tex]Area = 72[/tex]
Step-by-step explanation:
From the attachment, we can see that the floor has a trapezium shape with the following dimensions.
[tex]Height = 6yd[/tex]
The parallel sides (P1 and P2) are:
[tex]P_1 = 10 + 4 = 14[/tex]
[tex]P_2 = 10[/tex]
The square yard needed to cover the floor is the area of the trapezium surface and this is calculated as follows:
[tex]Area =\frac{1}{2} * (Sum\ of\ parallel\ sides) * Height[/tex]
[tex]Area =\frac{1}{2} * (P_1 + P_2) * Height[/tex]
[tex]Area = \frac{1}{2} * (10 + 14) * 6[/tex]
[tex]Area = \frac{1}{2} * (24) * 6[/tex]
[tex]Area = 12 * 6[/tex]
[tex]Area = 72[/tex]
Hence, 72 square yards is needed to cover the floor
A model of a house is shown What is the perimeter, in feet, of the model?
Answer:
There isn't anything shown. Perimeter is all sides added up. Hope that helps.
Step-by-step explanation:
In a fish tank, there are 3 orange fish, 5 blue fish and 6 yellow fish. In simplest form, what is the ratio of yellow
fish to orange fish? Explain what your ratio means in context.
Show Your Work
6:3, for every six yellow fish there are three orange fish
2:1, for every two yellow fish there is one orange fish
3:6, for every three orange fish there are six blue fish
23:5. for every three orange fish there are five blue fish
P
Answer:
B. 2:1, for every two yellow fish there is one orange fish
Step-by-step explanation:
So you have 6 yellow fish and 3 orange fish.
You can divide both these values by 3 to get:
2 yellow fish: 1 orange fish
Therefore, the simplified version of the ratio is 2:1
In context this means for every 2 yellow fish there is 1 orange fish.
The answer is then B.
I hope this helps!!
- Kay
If Alejandro walks 3 miles in 43 minutes, then how far will Alejandro walk in 93 minutes?
Answer:
he will walk about 8 miles
Step-by-step explanation:
List the first 3 odd
composite numbers.
Answer:
9, 15, 21
Step-by-step explanation:
A composite number is a positive integer that can be formed by multiplying two smaller positive integers.
hope this helps, pls mark brainliest :D
Answer: 9 15 21
Step-by-step explanation: hope this helps
tan 3( ) tan 3 lim
h
xh x
® h
Answer:
27
Step-by-step explanation:
know that
h = 3
h × h × h
3 × 3 × 3
= 27
When a number is increased by 13, the result
is 43. What equation fits this statement?
Answer:
The equation is
✔ d = 5l
.
As the number of
✔ laps
increases, the number of
✔ dollars
also increases.
Step-by-step explanation:
Using the concept of expressing an equation , the required expression is n + 13 = 43
Let the number be : n
The number increased by 13 can be expressed thus :
n + 13Equating the expression to the result, we'll have :
n + 13 = 43Therefore, the required expression, is n + 13 = 43
Learn more : https://brainly.com/question/19802693
# 3 A cellular phone company offers several different service options. If the total cost per month is given by the
formula C = 0.42 m+ 7.81, how much will you pay in a month when you did not use the phone?
Answer:7.81
Step-by-step explanation:
7.81=0.42*0 +7.81
An object dropped from rest from the top of a tall building on Planet X falls a distance feet in the first t seconds. Find the average rate of change of distance with respect to time as t changes from to . This rate is known as the average velocity, or speed. The average velocity as t changes from to seconds is:________
Complete Question:
An object dropped from rest from the top of a tall building on Planet X falls a distance d(t)=13t^2 feet in the first t seconds. Find the average rate of change of distance with respect to time as t changes from t1=2 to t2=10. This rate is known as the average velocity, or speed.
The average velocity as t changes from 2 to 10 seconds is _______ feet/sec?
Answer:
[tex]v = 156[/tex]
Step-by-step explanation:
Given
[tex]d(t)=13t^2[/tex]
Time Interval: (a,b)
[tex]a = 2[/tex]
[tex]b = 10[/tex]
Required
Determine the average rate of change (v)
This is calculated as thus:
[tex]v = \frac{d(b) - d(a)}{b - a}[/tex]
Substitute values for b and a
[tex]v = \frac{d(10) - d(2)}{10 - 2}[/tex]
[tex]v = \frac{d(10) - d(2)}{8}[/tex]
Calculate d(10): Substitute 10 for t
[tex]d(t)=13t^2[/tex]
[tex]d(10) = 13 * 10^2[/tex]
[tex]d(10) = 13 * 100[/tex]
[tex]d(10) = 1300[/tex]
Calculate d(2): Substitute 2 for t
[tex]d(t)=13t^2[/tex]
[tex]d(2) = 13 * 2^2[/tex]
[tex]d(2) = 13 * 4[/tex]
[tex]d(2) = 52[/tex]
The equation [tex]v = \frac{d(10) - d(2)}{8}[/tex] becomes
[tex]v = \frac{1300 - 52}{8}[/tex]
[tex]v = \frac{1248}{8}[/tex]
[tex]v = 156[/tex]
Hence, the average rate of change is 156ft/s
Add. 25+14 Enter your answer as a fraction in simplest form by filling in the boxes.
Answer:
25 + 14 = 39 and the fraction form can be [tex]\frac{39}{100}[/tex]
Step-by-step explanation:
IM THE COOL KID 121212
Mrs. Cousins works in a pool store and earns a 9.5% commission on every swimming pool she sells. How much commission would she earn for selling a pool that costs $5,600?
Answer:
$532
Step-by-step explanation:
19/200 * 5600/1
Cross cancellation makes this:
19/1 * 28/1
19 * 28
(19 * 20) + (19 * 8)
380 + 152
$532 in commission
PLEASE answer i’ll do anything please
Answer:
25
Step-by-step explanation:
[tex]f(x) = {3}^{x} - 2 \\ \\ plug \: x = 3 \\ \\ f(3) = {3}^{3} - 2 \\ \\ f(3) = 27 - 2 \\ \\ f(3) = 25[/tex]
Help me out here pleaseeeee
Answer:
32 pieces is the right answer
3×8=24
24×1/4
so 32
Step-by-step explanation:
please mark me as brainliest
If sales tax is 7%, how much tax will Miguel pay for a TV that costs $150?
Answer:
$10.50
Step-by-step explanation:
To find how much tax is added on to the $150 we have to multiply .07 by 150.
(150)(.07) = 10.5
Therefore, Miguel will have to pay $10.50 in tax.
I hope this helps!
- Kay :)
Some History teachers at Riverside High School are purchasing tickets for students and their adult chaperones to go on a field trip to a nearby museum. For her class, Mrs. Levin bought 27 student tickets and 25 adult tickets, which cost a total of $614. Mr. Lawson spent $733, getting 27 student tickets and 32 adult tickets. What is the price for each type of ticket?
Answer:
Cost of student ticket = $7
Cost of Adult ticket = $17
Step-by-step explanation:
Let cost of student ticket = x
Cost of Adult ticket = y
Making expressions from statements
Mrs. Levin bought 27 student tickets and 25 adult tickets, which cost a total of $614. [tex]27x+25y=614[/tex]
Mr. Lawson spent $733, getting 27 student tickets and 32 adult tickets. [tex]27x+32y=733[/tex]
Now solving these equations to find values of x and y
Let
[tex]27x+25y=614--eq(1)\\27x+32y=733--eq(2)[/tex]
Subtracting both equations
[tex]27x+25y=614\\27x+32y=733\\-\:\:\:-\:\:\:\:\:\:\:\:\:\:\:\:-\\-------\\-7y=-119\\y=\frac{-119}{-7}\\y=17[/tex]
So, we get value of y = 17
Now, finding value of x, by putting value of y in eq(1)
[tex]27x+25y=614\\Put\:y=17\\27x+25(17)=614\\27x+425=614\\27x=614-425\\27x=189\\x=\frac{189}{27}\\x=7[/tex]
So, we get value of x = 7
Cost of student ticket = x = $7
Cost of Adult ticket = y = $17
Which of the following statement are true
A:The only factors of 9 are 1 and 9
B:The only factors of 7 are 1 and 7
C:The only factors of 6 are 1,2, and 3
D:The only factors of 16 are 1,2,4 and 16
PLEASE HELLPPPPP
3
Evaluate the expression 4 + [(96 ÷ 8) × 5] – 42.
Answer:
22
Step-by-step explanation:
4 + [(96 ÷ 8) × 5] – 42 =
4 + [12 × 5] - 42 =
4 + 60 - 42 =
22
Please need help on this one
Answer:
60°
Step-by-step explanation:
You have to do a² + b² = c²
I plugged in the numbers and they matched up.
Hope this helps ya!
Find the 107 the derivative of the function
Answer:
Step-by-step explanation:
Pattern
dx/dy = - sin(x)
d^2/dx^2 = -cos(x)
d3/dx^3 = sin(x)
d4/dx^4 = cos(x)
So if you divide 107 by 4 what's the remainder?
107 / 4 = 26 with a remainder of 3
So the answer is going to be the third one down or d107/dy^107 = sin(x)
X+1 , 2x+3 and X+7 are the second, third and fourth terms of an arithmetic series. Find the value of X and hence calculate the common difference.
Answer:
x = 1,
Common Difference = -3
Step-by-step explanation:
Each number in series has the same difference, hence
(x + 1) - (2x+3) = (2x + 3) - (x + 7) Solve to find => x = 1Plug in value of x into (x+1) - (2x+3)Which solves for -3
Answer:
x=1
c.d.=3
Step-by-step explanation:
2(2x+3)=x+1+x+7
4x+6=2x+8
4x-2x=8-6
2x=2
x=1
so terms are 2,5,8
c.d.=5-2=3
Sandra Jean ears an annual
salary of $38,400.00. What is
her monthly salary?
Answer:$3200
Step-by-step explanation:
38,400 divided by 12 = $3200
A line passes through the points (5,21) and (6,22).
Hey there!
The formula is: y₂ - y₁ / x₂ - x₁
y₂ = 22
y₁ = 21
x₂ = 6
x₁ = 5
Your equation: 22 - 21 / 6 - 5
22 - 21 = 1 ← numerator (TOP number)
6 - 5 = 1 ← denominator (BOTTOM number)
We can say that the line that passes through lines (5 , 21) (6 , 22): 1/1
(or you can simply 1 because 1 ÷ 1 gives you 1)
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
I BEG u pls answer this question.. im using my remaining points for these and i will give u brainliest if they are correct
Answer:
Step-by-step explanation:
1. Alternate interior angles. Inside the transversal and opposing sides
8. Set all three angles equal to 180, since they're supplementary
34+41+x = 180
180 = 75+x
105 = x
Valerie bought a 9 ft piece of ribbon from which she wants to cut into 2/3 ft pieces. How many 2/3 ft pieces can
Valerie cut?
Answer:
Valerie can cut 13 2/3 ft pieces.
Step-by-step explanation:
Please brainliest!
If four loaves of bread costs $8, a loaf of bread and a bag of oranges costs $5, and a loaf of bread, two bags of oranges and a basket of apples costs $12, what is the cost of a basket of apples?
Answer:
$6
Step-by-step explanation:
4 loaves of bread ---- $8
1 loaf of bread ---- $8 ÷ 4 = $2
one bag of oranges --- $5 - $2 = $3
two bags of oranges --- $3 × 2 = $6
one basket of apples --- $12 - $6 = $6
The cost of a basket of apples is $6.
Select the better answer for the definition: Step Function.
Answer:
A function that increases or decreases abruptly from one constant value to another.
A heating pad takes 9,738 watts during each time it is turned on. If you only use it for 48 minutes, how much CO2 was created? Round to 1 decimal.
What is the reciprocal of 3/7 ?
A) 3/7
B) 2 1/3
C) 7/3
D) 7
Answer:
c ) 7/3
Step-by-step explanation:
The circumference of the base of a cone is 10π cm. The circumference of the base of a second similar cone is 20π cm. What is the ratio of the surface area of the first cone to that of the second cone?
Given:
The circumference of the base of a cone is 10π cm.
The circumference of the base of a second similar cone is 20π.
To find:
The ratio of the surface area of the first cone to that of the second cone.
Solution:
Let the radii of base of two cones are [tex]r_1[/tex] and [tex]r_2[/tex] respectively.
Circumference of the circular base is [tex]2\pi r[/tex], where, r is radius.
We have,
[tex]2\pi r_1=10\pi\text{ cm}[/tex]
[tex]r_1=\dfrac{10\pi}{2\pi}\text{ cm}[/tex]
[tex]r_1=5\text{ cm}[/tex]
And,
[tex]2\pi r_2=20\pi\text{ cm}[/tex]
[tex]r_2=\dfrac{20\pi}{2\pi}\text{ cm}[/tex]
[tex]r_2=10\text{ cm}[/tex]
It two cons are similar, then ratio of there areas is equal to square of the ratio of there corresponding dimensions, i.e., radius or heights.
[tex]\dfrac{A_1}{A_2}=\left(\dfrac{r_1}{r_2}\right)^2[/tex]
[tex]\dfrac{A_1}{A_2}=\left(\dfrac{5}{10}\right)^2[/tex]
[tex]\dfrac{A_1}{A_2}=\left(\dfrac{1}{2}\right)^2[/tex]
[tex]\dfrac{A_1}{A_2}=\dfrac{1}{4}[/tex]
The ratio form is
[tex]V_1:V_2=1:4[/tex]
Therefore, the ratio of the surface area of the first cone to that of the second cone is 1:4.
The ratio of the surface area of first cone to that of the second cone is; 1:4
Surface AreaFormula for the circumference of the base of a cone is;
C = 2πr
Where;
C is circumference
r is radius
Thus;
For the first cone;10π = 2πr
r = 10π/2π
r = 5
For the second cone;20π = 2πr
r = 20π/π
r = 10
Now, formula for surface area of the base is;
A = πr²
Thus, ratio of both area of first cone to second cone is;
A1/A2 = 5²/10²
A1/A2 = 25/100
A1/A2 = 1/4
Thus, ratio of first cone to that of the second cone is; 1:4
Read more on surface area of cone at; https://brainly.com/question/6613758