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4 - x < 9
Subtract 4 from both sides
4 - x - 4 < 9 - 4
Now we have:
- x < 5
Divide both sides by -1
x < -5
When you divide an inequality by -1, the sign flips
Thus, your answer would be:
x > -5
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To measure the height of a mountain, a surveyor took two sightings, one 1000 feet farther from the mountain of the other. The first angle of elevation was 85° and the second was 83°.
What is the mountain’s height?
Answer:
Height of the mountain was 28331.8 feet.
Step-by-step explanation:
An observer took the measurements from two sights C and D.
Point D was 1000 ft away from the earlier sight point C.
Angle of elevations from points C and D were 85° and 83° respectively.
From ΔABC,
tan85 = [tex]\frac{h}{x}[/tex]
x = [tex]\frac{h}{tan85}[/tex] -----(1)
Similarly, from ΔABD,
tan83 = [tex]\frac{h}{(x+1000)}[/tex]
x + 1000 = [tex]\frac{h}{tan83}[/tex]
x = [tex]\frac{h}{tan83}-1000[/tex] -----(2)
Now we substitute the value of x from equation (1) in the equation (2)
[tex]\frac{h}{tan85}=\frac{h}{tan83}-1000[/tex]
0.122785h - 0.087488h = 1000
0.035296h = 1000
h = 28331.822 ft
h ≈ 28331.8 ft
Therefore, height of the mountain was 28331.8 feet.
In the expression, what are the coefficients
Answer:
Credit to the guy that has already answer. HE IS CORRECT!! THE ANSWER IS D=7/9 AND 6!!!!!!!!!!!!!!!
Step-by-step explanation:
click on the link below it shows a screenshot of the correct answer!!
Stay Safe Guys!!!!
Sylvia read that the height of the Empire State Building is 443.2 m and wants to build a scale model of the building in her room. She knows that the height of the ceiling in her room is 8 ft. Write a scale that would allow a scale model of the Empire State Building in Sylvia's bedroom so that the top of the building would just touch her ceiling.
Answer:
Scale of 181: 1
Step-by-step explanation:
The first thing to do is to pass the feet by the meter, to work in the same units and thus create a consistent scale:
We know that one foot equals 0.3048 meters, therefore:
8 feet * 0.3048 meters / 1 foot = 2.4384 meters
So the scale would be:
443.2 / 2.4384 = 181.75
Which means that it is best to make a scale of 181: 1
Where 181 meters from the Empire State Building would equal 1 meter at home 0 181 inches would equal 1 inch at home
Simplify square root of five times the quantity six minus four square root of three.
6√5 - 4√3-
i took the test but sorry if its wrong
Can you please help please please help me with this question and i will give you a Brainiest
Answer:
30 kilograms
Step-by-step explanation:
there are two ways you can solve this
1. since each package is 6 kg, you can multiply it by 5 to get 30 kg
2. or, you can add it together. for example, you can add 6 five times. 6+6+6+6+6=30
:)
Answer: 30 kg
Step-by-step explanation:
Use a net to find the surface area of the right triangular prism shown below (Please show how you worked it) :
104 square feet
412 square feet
468 square feet
504 square feet
Answer:
468 square feet; Option C
Step-by-step explanation:
We can see that the base of this triangular prism has dimensions 15 feet by 10 feet, so for starters let us compute the area of this base:
Area ⇒ 15 * 10 = 150 ft^2
Now the rectangular surface next to this base, has dimensions 9 feet by 10 feet, provided that 9 feet is a uniform height of the triangular prism:
Area ⇒ 9 * 10 = 90 ft^2
This third rectangle is provided with one dimensions, of 10 feet. If we were to imagine what part of the 3-d shape is is, it would in fact be the slanted top. To find the second dimension, you would imagine it to be 12 feet. Using that, the area of this rectangle is thus ⇒ 10 * 12 = 120 ft^2
Now the two triangles at the corners each have an area of ⇒ 1/2 * base * height = 1/2 * 12 * 9 = 6 * 9 = 54 ft^2, so they have a total area of ⇒ 108 ft^2
This means the surface area of the right, triangular prism is:
150 + 90 + 120 + 108 = Answer: 468 square feet
please help me with math
Answer:
592 sq. ft.
Step-by-step explanation
area of front and back=2[12×6]+2[1/2×12×8]=144+96=240 ft²
side area=2[(6+10)×11]=2×176=352 ft²
Total surface area=240+352=592 square feet.
Amanda is making flower arrangements. She has 20 daisies and 16 roses. Each arrangements must hhave the same number of daises and same number of roses. She wants to use all the flowers. What is the greatest number of arrangements she can make? How many daisies and how many roses will be in each?
Answer:
The greatest number of arrangements she can make would be that she uses 4 groups of 5 daisies and 4 groups of 4 roses.
The greatest number of arrangements is 4, and each group has 5 daises and 4 roses.
What is the greatest common divisor?The biggest positive integer that divides both numbers and is a divisor of both is known as the greatest common divisor of two integers.
Given that, Amanda has 20 daises and 16 roses.
The number of arrangements that can be made using 20 daises and 16 roses is the greatest number that can divide both the numbers 20 and 16.
The greatest number that can divide both 20 and 16 is 4.
Hence, 4 groups of arrangements can be made.
The number of daises in a group is:
20/4
= 5
The number of roses in a group is:
16/4
= 4
Hence, the greatest number of arrangements is 4, and each group has 5 daises and 4 roses.
Learn more about the greatest common divisor:
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Mohit needs to work 45 hours per week. He has worked 38 7/9 hours so far. How many hours does he need to work on Friday to meet the 45 hours requirement?
Answer:
6 2/9 hours
Step-by-step explanation:
Take the number of required hours minus the number of hours worked to get the number of hours still needed.
45 - 38 7/9 = 6 2/9 hours
If this answer is correct, please make me Brainliest!
Which is the expression 4×4×4×3×3×2×2×2×2 written using exponents?
Answer:
43 32 24
Step-by-step explanation:
4×4×4×3×3×2×2×2×2
I count 3 fours, 2 threes, 4 twos.
4×4×4×3×3×2×2×2×2
[tex]= 4^3 3^2 2^4[/tex]
That might be the answer; we don't see the choices.
Since 4 is 2² we can take another step.
[tex]= (2^2)^3 3^2 2^4[/tex]
[tex]= 2^6 3^2 2^4[/tex]
[tex]= 2^{10} 3^2[/tex]
That's the full prime factorization.
Answer: 2¹⁰ 3²
Clara simplifies (8 b minus 4 r) minus (2 b minus r) and says the result is 6 b minus 5 r. What error did Clara make? Clara incorrectly combined the b coefficients. The correctly simplified expression is 10 b minus 5 r. Clara incorrectly combined the r coefficients. The correctly simplified expression is 6 b minus 3 r. Clara incorrectly combined the r coefficients. The correctly simplified expression is 6 b + 5 r. Clara incorrectly combined the b coefficients. The correctly simplified expression is Negative 10 b minus 5 r.
Answer:
Clara incorrectly combined the r coefficients. The correctly simplified expression is 6 b minus 3 r.
Step-by-step explanation:
(8b-4r)-(2b-r)
Open the bracket
=8b-4r-2b+r
Collect the like terms and simplify
=8b-2b-4r+r
=6b-3r
Clara incorrectly combined the r coefficients. The correctly simplified expression is 6 b minus 3 r.
Answer:
B
Step-by-step explanation:
I took it on edg
Bryan bought 10 daisies and 5 sunflowers. Each daisy cost $2 and each sunflower cost $5. Bryan had $12 left after he made his purchase.
How much money did Bryan spend on the flowers? Which info isnt needed to answer this question?
Answer:
Bryan spent $45 on flowers. The last sentence isn't needed to answer this question.
Step-by-step explanation:
If you multiply 10 by 2, then 5 by 5, and add it at the end you get 45.
Un olivar tiene 80 olivos. Sesenta de ellos dan, por término medio, 50 kg 4 hg 60 dag 5 g de aceitunas cada uno, y los otros veinte, 53 kg 2 hg 16 dag 5 g. Si el número de litros de aceite que se obtiene es un quinto de los kilogramos de aceituna que se recogen, calcula la ganancia que obtendremos sabiendo que cada litro de aceite se vende a 2,65 € y que en la recolección nos gastamos 860 €.
Answer:
1330.808 euros
Step-by-step explanation:
Let's first calculate the total amount of kilograms,
for the first 60, we have to:
50 kg
4 hg = 0.5 kg
60 dag = 0.6
5 g = 0.005 kg
adding: 50 + 0.5 +0.6 + 0.005 = 51.105 kg per tree, but they are 60
51.105 * 60 = 3066.3
now for the other 20:
53 kg
2 hg = 0.2 kg
16 dag = 0.16
5 g = 0.005
adding: 53 + 0.2 +0.16 + 0.005 = 53.365 kg per tree, but they are 20
53,365 * 20 = 1067.3
in total it would be: 3066.3 + 1067.3 = 4133.6
they tell us that 1/5 is the quantity in liters:
4133.6 * 1/5 = 826.72 liters
so to calculate the earnings it would be:
2.65 * 826.72 - 860 = 1330.808
which means that in net earnings are 1330.808 euross
If f(x) and g(x) are quadratic functions but (f + g)(x) produces the graph below, which statement must be true? On a coordinate plane, a straight line with negative slope represents (f + g) (x). It goes through points (negative 3, 4), (0, 1), and (1, 0).
Answer:
You did not write the options, but let's solve it in a general way.
f(x) and g(x) are quadratic functions, this means that:
f(x) = a*x^2 + b*x + c
g(x) = d*x^2 + e*x + f
now, (g + f)(x) is a linear function that goes trough the points (-3, 4), (0,1 ) and (1,0)
(g + f)(x) = s*x + k
We can find the slope of this linear function as:
S = (y2 - y1)/(x2 - x1)
i will use the first two points.
S = (1 - 4)/(0 - (-3) = -3/3 = -1
so we have: ( f + h)(x) = -1*x + k
and we can find k using one of the points, for example (0, 1)
1 = -1*0 + k
b = 1.
so we have: (f + g)(x) = -1*x + 1.
Now, (f+g)(x) = (a + d)*x^2 + (b + e)*x + (c + f) = -1*x + 1.
So we must have that:
a = -d
b + e = -1
c + f = 1.
Answer:
A. The leading coefficients of f(x) and g(x) are opposites.Step-by-step explanation:
What’s the median of this set of data 71,37,22,81,65,54,52,41,48,71
Answer:
I'm glad you asked!
Step-by-step explanation:
Step 1:Order the numbers from least to greatest.
[tex]22,37,41,48,52,54,65,71,71,81[/tex]
Step 2:Now find the middle number.
[tex]22,37,41,48[/tex],52,54[tex],65,71,71,81[/tex]
Step 3:Since there are two numbers,we add them together then divide by 2.
[tex]52+54 =106[/tex]
[tex]106/2=53[/tex]
The median is 53.
Answer:
53
Step-by-step explanation:
What are the solutions to the quadratic equation 4(x + 2)2 = 36
x = -11 and x = 7
x = -7 and x = 11
x = -5 and x = 1
x= -1 and x = 5
mentary
condary
s Notebo...
Spring
Previous Activity
Answer:
C) x = −5 and x = 1
Step-by-step explanation:
I took the test and I got it right
The solutions to the quadratic equation [tex]4(x + 2)^2 = 36[/tex] are as x = -5 and x = 1.
What is a solution for a quadratic equation?Suppose that we've a function y = f(x) such that f(x) is quadratic.
When y = 0, then the values of x for which f(x) = 0 is called solution of quadratic equation f(x) = 0
This solution gives values of x, and when we plot x and f(x), we'd see that the graph intersects the x-axis at its solution points.
We have the given quadratic equation
[tex]4(x + 2)^2 = 36[/tex]
solving for x
[tex]4(x + 2)^2 = 36\\\\(x + 2)^2 = 36/4\\\\(x + 2)^2 = 9\\\\(x + 2)^2 = 3^2\\\\(x + 2) = 3\\\\x = 1\\or \\\\x + 2 = -3\\\\x = -5[/tex]
Learn more about quadratic equations;
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Awaste management company is designing a rectangular construction dumpster that will be twice as long as it is wide and must hold 19y * d ^ 3 of debris. Find the dimensions of the dumpster that will minimize its surface area.
Answer:
1.92 yd x 3.83 yd x 2.58 yd
Step-by-step explanation:
We have given a rectangular base, that its twice as long as it is wide.
It must hold 19 yd³ of debris.
Lets minimize the surface area, subject to the restriction of volume (19 yd³)
The surface is given by:
[tex]S=2(w*h+w*2w+2wh)=2(3wh+2w^2)[/tex]
The volume restriction is:
[tex]V=w*2w*h=2w^2h=19\\\\h=\frac{9.5}{w^2}[/tex]
replacing h in the surface equation, we have:
[tex]S=2(3wh+2w^2)=6w(\frac{9.5}{w^2})+4w^2=57w^{-1}+4w^2[/tex]
Derivate the above equation and set it to zero
[tex]dS/dw=57(-1)w^{-2} + 8w=0\\\\57w^{-2}=8w\\\\w^3=57/8=7.125\\\\w=\sqrt[3]{7.124} =1.92[/tex]
The height will be:
[tex]h=9.5/w^2=9.5/(1.92^2)=9.5/2.69=2.58[/tex]
Therefore,The dimensions that minimize the surface are:
Wide: 1.92 yd
Long: 3.83 yd
Height: 2.58 yd
please answer quick!!
Answer: B
Step-by-step explanation:
[tex]\frac{2}{7k}(k-7)[/tex]
[tex]\frac{2k-14}{7k}[/tex]
[tex]\frac{2k}{7k}-\frac{14}{7k}[/tex]
[tex]\frac{2}{7}-\frac{2}{k}[/tex]
100 points. WILL MARK BRAINLIEST. EASY QUESTION
Topic: Fractions.
ONLY COMPLETE QUESTION 1
Answer:
1/4
Step-by-step explanation:
We have 3/4 of a tank
We will use 2/3 of the gas in the tank
That will leave us 1/4
Mathematically
3/4*2/3 = 2/4 =1/2 this is the amount that is used
Subtract this from the amount in the tank
3/4 -1/2
3/4 -2/4 = 1/4
This is the amount that is left in the tank
A soup can have a volume of 54 π in³ and a height of 6 in.
What is the area for the label needed to wrap around the can with no overlaps? Express your answer in terms of π.
Answer:
The area of the label is 36*pi in²
Step-by-step explanation:
A can of soup has a shape of a cylinder, therefore it's volume is equal to:
Volume = pi*r²*h
We need to use the formula above to find the radius of the base, because we need to calculate the lateral area of the cylinder, which is given by:
Lateral area = 2*pi*r*h
Applying the data from the problem we have:
54*pi = pi*r²*6
pi*r²*6 = 54*pi
r² = 54*pi/(pi*6)
r² = 54/6 = 9
r = sqrt(9) = 3 in
Therefore the lateral area is:
lateral area = 2*pi*(3)*(6) = 36*pi in²
Answer:
18π in ²
Step-by-step explanation:
This problem bothers on the mensuration of solid shapes, a cylinder.
Given data
volume v = 54 π in³
Height h = 6 in
In this problem we are considering the surface area of the cylinder
(not the total though ) but the curved surface area
Let us solve for the radius of the shape
Volume = πr²h
54π= π*r²*6
54/6= r²
r²= 9
r= √ 9
r= 3in
Area of curved surface = 2πrh
Area = 2πrh
Area =2π*3*6
Area = 18π in ²
What's the x for
-2(x+3)=-10
Answer:
[tex]x=2[/tex]
Step-by-step explanation:
[tex]-2(x+3)=-10\\\mathrm{Divide\:both\:sides\:by\:}-2\\\frac{-2\left(x+3\right)}{-2}=\frac{-10}{-2}\\Simplify\\\frac{-2\left(x+3\right)}{-2}=\frac{-10}{-2}\\\frac{-2\left(x+3\right)}{-2}\\\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{-a}{-b}=\frac{a}{b}\\=\frac{2\left(x+3\right)}{2}\\\mathrm{Divide\:the\:numbers:}\:\frac{2}{2}=1\\=x+3[/tex]
[tex]\mathrm{Simplify\:}\frac{-10}{-2}:\quad 5\\\frac{-10}{-2}\\\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{-a}{-b}=\frac{a}{b}\\=\frac{10}{2}\\\mathrm{Divide\:the\:numbers:}\:\frac{10}{2}=5\\=5\\x+3=5\\\mathrm{Subtract\:}3\mathrm{\:from\:both\:sides}\\x+3-3=5-3\\\mathrm{Simplify}\\x=2[/tex]
Answer:
x+3=-10/-2=5
x=5-3=2
There are 25 students in a science class. Twenty percent of the students are randomly selected to participate in a teacher evaluation. How many combinations of students are possible?
Answer: 53,130 possible combinations
Step-by-step explanation:
First, we want to find how much is the 20% of 25.
This is:
N = (20%/100%)*25 = 5.
So 5 students out of 25 are selected.
When we want to calculate the number of combinations of N elements it a group of K elements, we have:
[tex]C = \frac{N!}{(N - K)!*K!}[/tex]
Here N = 25, and K = 5
[tex]C = \frac{25!}{20!*5!} = \frac{25*24*23*22*21}{5*4*3*2*1} = 53,130[/tex]
so we have 53,130 combinations.
A flag pole broke in a storm it was originally 81 feet tall 28 feet are still sticking straight out of the ground where it snapped but the remaining piece has changed over and touches the ground some distance away how far away is the end of the pool from the base of the pool along the ground
Answer:
Step-by-step explanation:first u need to buy then break it into half with ur friend then ur friend will get all and u will only get one but u will be lonely if u don’t tell ur friend to give u
On a certain standardized test used for college entrance purposes, the mean score was 21 and the standard deviation was 5. The distribution was approximately normal. Carlos scored 31, two standard deviations above the mean. A total of 1.5 million people across the country took the test at the same time as Carlos. How many people had scores lower than Carlos?
a. 1,465,500 people
b. 977,000 people
c. 204,000 people
Answer:
A
Step-by-step explanation:
Carlos' score was 2 standard deviations from the mean, so his z-score was 2.0. You can either use the empirical 68-95-98.5 rule, or you can plug it into your calculator as normalcdf(-999, 2) = .977
So 97.7% of people had a score lower than Carlos!
.977 * 1.5 million = 1,465,500 people
The volume of this rectangular prism is 70 cubic units. If the area of the base is 28 square units, what is the height of the prism.
Answer:
height = 2.5 units
Step-by-step explanation:
The volume of a rectangular prism is given by the product of its base area and its height. If the area of the base is 28 square units and the volume is 70 cubic units, we can find the height as follows:
Volume = base area * height
70 = 28 * height
height = 70 / 28
height = 2.5 units
The height of the rectangular prism is 2.5 units.
Cereal costs $3.00 for a 12 ounce box, $4.00 for a 16 ounce box, and $5.00 for a 20 ounce box. Which size cereal box has the lowest price per ounce?
Answer:
Step-by-step explanation:
For this problem, you have to find out how much each cereal costs per ounce. So you must divide each price by the amount of cereal you get and compare:
$4.08/16oz=$0.255/oz
Find the unit price ($/oz) of the remaining 2 then compare. The lowest value is the best buy!
Which inequality is represented by this graph?
A. 0 > X
B. X > 0
C. 0 >_ X
D. X >_ 0
Answer:
B. X > 0
Step-by-step explanation:
It is X > 0, because the circle is empty, which means that X cannot be 0, which allows s to eliminate C and D as an answer. The arrow shows that X is greater than 0. Therefore, you can eliminate A as an answer, leaving us with B. X > 0
2) A player took 12 shots and
made 9. What percent did
he make?
Answer: 9/12 equals 0.75 so 75 percent is the answer.
Step-by-step explanation:
PLEASE HELP THIS IS SUPER URGENT
Answer:
-1
Step-by-step explanation:
x+4/4 = 9/12
If you plug in -1, then 3/4=9/12.
This is a true proportion.
Hope this helps!!! PLZ MARK BRAINLIEST!!!
How to round three decimal places
Answer:
go FORWARD 3 places
Step-by-step explanation: