Answer:
Step-by-step explaWe are losing Earth's greatest biological treasures just as we are beginning to appreciate their true value. Rainforests once covered 14% of the earth's land surface; now they cover a mere 6% and experts estimate that the last remaining rainforests could be consumed in less than 40 years.
One and one-half acres of rainforest are lost every second with tragic consequences for both developing and industrial countries.
Rainforests are being destroyed because the value of rainforest land is perceived as only the value of its timber by short-sighted governments, multi-national logging companies, and land owners.
Nearly half of the world's species of plants, animals and microorganisms will be destroyed or severely threatened over the next quarter century due to rainforest deforestatioue to rainforest deforestation. That equates to. As the rainforest species of tesrees anddisappear, so do many possible that 1% plants have been tested by sciMost rainforests are cleared by chainsaws, bulldozers and fires for its timber value and then are followed by farming and ranching operations, onian Rainforest five centuries ago. Today there are less than 200,000.
In Brazil alone, European colonists have destroyed more than 90 indigenous tribes since the 1900's. With them have gone centuries of
nation:
Determine if the following conjecture is valid.
Given: If a computer sales person sells at least 15 computers in a week, then she gets a bonus. Mandy sells 12 computers in a week.
Conclusion: Mandy gets a bonus.
Answer:
Not valid
Step-by-step explanation:
Because 12 is minor than 15
The conjecture is not valid.
Mandy not gets a bonus.
Given that:
If a computer sales person sells at least 15 computers in a week, then she gets a bonus.
Maddy sells 12 computers in a week.
Conclusion: Maddy gets a bonus.
We have to check the conjecture is valid or not.
What is Conjecture?
A conjecture is a conclusion or proposition that is proffered on the tentative basis without the proof.
Now,
Here, if a person sells 15 or more computers in a week, she gets a bonus.
Maddy sells 12 computers in a week, which is less than 15.
So, Maddy did not get a bonus.
Learn more about conjecture visit:
https://brainly.com/question/20409479
#SPJ2
multiply
0.105 x 0.7=
Answer:
0.0735 got it right
Step-by-step explanation:
got it right
At a particular school, all students participate in at least one out of three activities: debate, music, and community service. 3 students do all three activities, 21 students do two or more activities, half of all students participate in music, and the ratio of participants in debate, music, and community service, respectively, is $5:4:3$. What is the total number of students at the school
Answer:
48
Step-by-step explanation:
The given parameters are;
The activities in which the students of the school participate = 1) Debate, 2) Music, and 3) Community services
The number of students that do all three activities = 3
The number of students that do two or more activities = 21
The number of the students that participate in music = Half of the students
The ratio of the students that take part in debate, music, and community service = 5 : 4 : 3
Let x represent a common number factor of participants in each of the given three activities, we have;
5·x participate in debate, A
4·x participate in music, B
3·x participate in community service, C
We get;
The sum of the students in the school = A∪B∪C = A + B + C - A∩B - A∩C - B∩C + A∩B∩C
Given that the number of students that do two or ore activities = 21, we have;
(A∩B)∪(A∩C)∪(B∩C) = 21
However, we have;
(A∩B)∪(A∩C)∪(B∩C) = (A∩B) + (A∩C) + (B∩C) - A∩B∩C - B∩A∩C - C∩B∩A + A∩B∩C
∴ 21 = (A∩B) + (A∩C) + (B∩C) - 3 - 3 - 3 + 3
(A∩B) + (A∩C) + (B∩C) = 21 + 3 + 3 + 3 - 3 = 21 + 6 = 27
∴ -(A∩B) - (A∩C) - (B∩C) = -27
Therefore;
A + B + C - A∩B - A∩C - B∩C + A∩B∩C = 5·x + 4·x + 3·x - 27 + 3
5·x + 4·x + 3·x - 27 + 3 = 12·x - 24
The total number of students = A∪B∪C = 12·x - 24
The number of students participating in music, B = 4·x = Half the total number of students = (12·x - 24)/2
∴ 4·x = (12·x - 24)/2
8·x = 12·x - 24
12·x - 8·x = 24
4·x = 24
x = 24/4 = 6
The total number of students at the school = 12·x - 24 = 12 × 6 - 24 = 48
Solve for x. The triangles are similar.
A. 5
B. 10
C. 4
D. 8
Answer: D) 8
Work Shown:
32/24 = 2x/12
32*12 = 24*2x
384 = 48x
48x = 384
x = 384/48
x = 8
The correct option is Option D: the value of x is 8
What are similar triangles?The triangles whose corresponding angles are equal and the corresponding sides are in equal proportiion are called similar triangles.
If two triangles are similar
then a₁/a₂=b₁/b₂=c₁/c₂
where a₁, b₁, and c₁ are the sides of one triangle
a₂, b₂, and c₂ are the sides of another triangle
Here it is given that
triangles ΔJLK and ΔRJS are similar.
so by the property of similar triangles,
JR/JL = JS/JK = RS/KL
Given that JR=24
JL=32
JS=12
JK=2x
By using the property
JR/JL = JS/JK
⇒ 24/32 = 12/2x
⇒2x= 12*32/24
⇒2x=16
⇒x=16/2
⇒x=8
Therefore the value of x is 8.
Learn more about similar triangles
here: https://brainly.com/question/14285697
#SPJ2
What is the probability that an event is certain to occur?
Answer: 1
Explanation: An event whose occurrence is 100% sure, those events are called certain events.
The probability of such an event is always 1.
Example: The probability of getting a number between 1 to 6 when rolling a die is a certain event.
Because of a problem in the program, the timer in a video player did not begin counting until the video had been playing for several seconds. The player began counting at 0 seconds even though the video had already played 190 frames The video plays 252525 frames per second. How many frames had the video already played when the time was equal to -3 3/5
Answer:
105 frames
Step-by-step explanation:
Given that 25 frames are played per second
25 frames= 1 sec
The video already played 3 and 2/5 seconds before the player started to count 0
Write 3 and 2/5 seconds as an improper fraction
=(5*3)+2 / 5 = 17/5 seconds
Multiply by 25 frames
17/5 *25 =85 frames
So according to the video counter,after 17/5 seconds,it should count 85 frames.However,at 0 seconds,it indicated a count of 190 frames.Thus,to get the number of frames that were already in count you subtract 85 frames from the 190 frames.
190-85=105 frames.
Step-by-step explanation:
Find the surface areas of each figure. Round your answers to the nearest tenth, if necessary
Answer:
678
Step-by-step explanation:
12*11=132
11*9=99
12*9=108
132+99+108=339
339*2=678
What is the slope of the line?
Answer:
A number that describes both the direction and the steepness of the line is known as slope of the line .
The last four years of stock returns are as follows: Year 1 is -4% Year 2 is +28% Year 3 is +12% Year 4 is + 4% (a). What is the average annual return?
Answer:
The Average annual return is:
= 10%.
Step-by-step explanation:
a) Data and Calculations:
Year Stock Returns
Year 1 -4%
Year 2 +28%
Year 3 +12%
Year 4 + 4%
Total returns = 40%
Average annual returns = 10% (40%/4)
b) The average annual return is computed as the total returns for the four years divided by 4. It shows that on the average, the return earned per year from the stock investment is 10%, during the four-year period. It is the mean of the total returns.
Can someone please answer B (PICTURE)
Answer:
The question is asking for the perimeter. There are three ways to answer this depending on the assumptions though so I'll let you choose.
Assumptions are basically the different scenarios
1st scenario being the trim covers the carpet and the tile, they'd need 48m of trim (12+12+4+8+8+4)
2nd scenario in which the trim covers the carpet but not the tiled area, they'd need 44m of trim (12+12+4+8)
3rd scenario where the trim only covers the the tiled area, 4m of trim
(just 4 since the tile only touches 4m of the wall)
Hope this helps!
Step-by-step explanation:
trim is just the perimeter since it covers the base of the wall
If all sides of a triangle are congruent then all sides of a triangle are congruent....write the given and proof
Step-by-step explanation:
Side-Angle-Side is a rule used to prove whether a given set of triangles are congruent. The SAS rule states that: If two sides and the included angle of one triangle are equal to two sides and included angle of another triangle, then the triangles are congruent.
The sine of angle θ is 0.3.
What is cos(θ)? Explain how you know.
Answer:
cos(θ) = -0.95
Step-by-step explanation:
Remember the relation:
sin(θ)^2 + cos(θ)^2 = 1
So if we have:
sin(θ) = 0.3
we can replace that in the above equation to get:
0.3^2 + cos(θ)^2 = 1
now we can solve this for cos(θ)
cos(θ)^2 = 1 - 0.3^2 = 0.91
cos(θ) = ±√0.91
cos(θ) = ± 0.95
Now, yo can see that there are two solutions, which one is the correct one?
Well, you can see that the endpoint of the segment that defines θ is on the second quadrant.
cos(x) is negative if the endpoint of the segment that defines the angle is on the second or third quadrant.
Then we can conclude that in this case, the correct solution is the negative one.
cos(θ) = -0.95
See screenshot below
Answer:
cos theta = -1/ 2
Step-by-step explanation:
sin theta = -sqrt(3)/2
Drawing a triangle
We know sin theta = opp/hyp
We can determine the adj side using the Pythagorean theorem
a^2 + b^2 = c^2
adj^2 + (-sqrt(3))^2 = 2^2
adj^2 +3 = 4
adj^2 = 4-3
adj ^2 =1
Taking the square root of each side
adj = 1
We know that since it is in the third quadrant the adj side is negative
adj = -1
cos theta = adj / hyp
cos theta = -1/ 2
Answer:
Solution given:
Sin[tex]\theta_{1}=\frac{-\sqrt{3}}{2}[/tex]
[tex]\frac{opposite}{hypotenuse}=\frac{-\sqrt{3}}{2}[/tex]
equating corresponding value
opposite=-[tex]\sqrt{3}[/tex]
hypoyenuse=2
adjacent=x
By using Pythagoras law
hypotenuse²=opposite²+adjacent²
2²=-[tex]\sqrt{3²}[/tex]+x²
4=3+x²
x²=4-3
x=[tex]\sqrt{1}=1[/tex]
x=-1
In third quadrant
Cos angle is negative
Cos[tex]\theta_{1}=\frac{-adjacent}{hypotenuse}[/tex]
Cos[tex]\theta_{1}=\frac{-1}{2}[/tex]Find the intersection of the following sets: Set A : {1, 5, 10, 14, 22} Set B : {5, 14, 20, 22, 27}
Answer:
Step-by-step explanation:
Intersection means that the sets have terms in common
(5, 14, 22) are the common terms.
Answer:
A ∩ B = { 5,14,22}
Step-by-step explanation:
Intersection is where the two sets meet, or what they both have in common
Set A : {1, 5, 10, 14, 22} Set B : {5, 14, 20, 22, 27}
Set A intersect B has 5 , 14 and 22 in common
A ∩ B = { 5,14,22}
A worker can complete the assembly of 15 cell phones in 6hrs. At this rate, how many can the worker complete in a 40hrs work week?? With full workin!!
Answer: 100 cell phones.
Step-by-step explanation:
The worker makes 2.5 phones an hour. 2.5 x 40 = 100.
help me with this question math please
Answer:
42.94$ is the answer.....
If the geometric mean of a and 28 is 16 sqrt 7 find a
Answer:
a = 64
Step-by-step explanation:
The geometric mean of 2 numbers a and b is [tex]\sqrt{ab}[/tex] , then
[tex]\sqrt{28a}[/tex] = 16[tex]\sqrt{7}[/tex] ( square both sides )
28a = (16[tex]\sqrt{7}[/tex] )² = 1792 ( divide both sides by 28 )
a = 64
Answer:
a = 64
Step-by-step explanation:
The geometric mean for two numbers is given by :
GM = sqrt(ab)
16 sqrt(7) = sqrt(a*28)
Square each side
(16 sqrt(7))^2 = (sqrt(a*28))^2
256*7 = 28a
1792 = 28a
Divide each side by 28
1792/28 = 28a/28
64 = a
secA-tanA=(cosA/2-sinA/2)/(cosA/2+sinA/2)
Answer:
Step-by-step explanation:
SecA - TanA
= 1/CosA - SinA/CosA
= 1 - SinA/CosA
We know that Sin2A = 2SinACosA and Cos2A = Cos²A - Sin²A
Thus SinA = Sin2(A/2) = 2Sin(A/2)CosA/2
CosA = Cos2(A/2) = Cos²A/2 - Sin²A/2
Now substituting the values back,
=> 1 - 2Sin(A/2)Cos(A/2) / Cos²(A/2) - Sin²(A/2)
// we know that Sin²θ + Cos²θ = 1
=> Sin²(A/2) + Cos²A/2 - 2Sin(A/2)Cos(A/2) / Cos²(A/2) - Sin²(A/2)
//We know that numerator is of form a² + b² - 2ab which is (a - b)².
//Similarly denominator is of form a² - b² which is (a - b)(a + b)
=> [Sin(A/2) - Cos(A/2)]² / [Cos(A/2) + Sin(A/2)][Cos(A/2) - Sin(A/2)]
=> [ - {Cos(A/2) - Sin(A/2)}]² / [Cos(A/2) + Sin(A/2)][Cos(A/2) - Sin(A/2)]
=> [Cos(A/2) - Sin(A/2)]² / [Cos(A/2) + Sin(A/2)][Cos(A/2) - Sin(A/2)]
=> [Cos(A/2) - Sin(A/2)] / [Cos(A/2) + Sin(A/2)]
= R.H.S
Hence proved.
I don’t get itttttttttt
Answer:
<1 = 65
Step-by-step explanation:
Exterior angle thm:
40 + 3x = 5x - 10
3x - 5x = -10 - 40
-2x = -50
x = 25
5x - 10
5(25) - 10
125 - 10
115
180 - 115
65
Answer:
65
Step-by-step explanation:
The sum of the measures of the angles of a triangle equals 180°.
3x + 40 + m<1 = 180
3x + m<1 = 140
<1 and the angle measuring 5x - 10 are supplementary angles, so the sum of their measure is 180°.
m<1 + 5x - 10 = 180
Solve for m<1 and substitute in equation above.
m<1 = 190 - 5x
3x + 190 - 5x = 140
-2x = -50
x = 25
m<1 = 190 - 5x
m<1 = 190 - 5(25)
m<1 = 190 - 125
m<1 = 65
The number of students in an school building that have the flu after t days is given by the function
()=800/1+49^−0.2
a) What was the initial number of students infected (think about what time is initially).
b) When will the number of students infected be equal to 200?
Round all of your answers to the NEAREST whole number and be sure to label your answers.
Step-by-step explanation:
[tex]p(0) = \frac{800}{1 + 49 {e}^{ - 0.2 \times 0} } = \frac{800}{1 + 49} = \frac{800}{50} = 16[/tex]
[tex]200 = \frac{800}{1 + 49 {e}^{ - 0.2t} } \\ 200(1 + 49 {e}^{ - 0.2t} ) = 800 \\ 200 + 9800 {e}^{ - 0.2t} = 800 \\ 9800 {e}^{ - 0.2t} = 600 \\ {e}^{ - 0.2t} = \frac{3}{49} \\ ln( {e}^{ - 0.2t} ) = ln( \frac{3}{49} ) \\ - 0.2t = - 2.793 \\ t = 13.96 = 14[/tex]
Find the measure of the indicated angle to the nearest degree
Answer:
16 degrees
Step-by-step explanation:
Tan(?) = perpendicular/base
Tan(?) = 13/46
?=arctan(13/46)=16
Ba đường phân giác của tam giác ABC gặp nhau tại O phát biểu nào sau đây đúng
A Ao luôn vuông góc với BC
B OA=OB=OC
C Ao luôn đi qua trung điểm BC
D O cách đều ba cạnh của tam giác
Answer:
D
Step-by-step explanation:
từ O hạ đường vuông góc xuống các cạnh AB, AC, BC các đường vuông góc đó sẽ bằng nhau
A giant pie is created in an attempt to break a world record for baking. The pie is shown below:
What is the area of the slice of pie that was cut, rounded to the nearest hundredth?
Answer:
Area of the slice of pie = 22.09 ft²
Step-by-step explanation:
Area of the slice of pie = Area of the sector of the circle with the central angle 45°
Area of the sector = [tex]\frac{\theta}{360^{\circ}}(\pi r^{2} )[/tex] [Here, r = radius of the circle]
= [tex]\frac{45^{\circ}}{360^{\circ}}(\pi )(\frac{15}{2})^2[/tex]
= 22.09 ft²
Area of the slice of pie = 22.09 ft²
Answer:
22.08ft^2
Step-by-step explanation:
A = πr^2(x/360) d = 15
Since r is half of diameter this means that r = 15/2 =7.5
so Lets use the Area of Sector formua
A =3.14(7.5)^2 (45/360)
A =3.14(56.25) (45/360)
A = 176.625 (45/360)
A = 176.625 (0.125)
A = 22.078125
rounded to the nearest 10th would make it 22.08
If m∠A = 43° and the measure of arc AB = 69°, then m∠B = ° (Blank 1). (Round your answer to one decimal place, if necessary.)
====================================================
Explanation:
If angle A is 43 degrees, then minor arc BC is 2*43 = 86 degrees according to the inscribed angle theorem. The central angle is twice that of the inscribed angle. Both of these angles subtend the same minor arc.
When I say "minor arc BC", I mean that we go from B to C along the shortest path. Any minor arc is always less than 180 degrees.
Since minor arc AB is 69 degrees, and minor arc BC is 86 degrees, this means arc ABC is arcAB+arcBC = 69+86 = 155 degrees
Let's say point D is some point on the circle that isn't between A and B, and it's not between B and C either. Refer to the diagram below. The diagram is to scale. The diagram your teacher provided is not to scale because arc ABC is way too big (it appears to be over 180 degrees). Hopefully the diagram below gives you a better sense of what's going on.
Because arc ABC = 155 degrees, this means the remaining part of the circle, arc ADC, is 360-(arc ABC) = 360-155 = 205 degrees
Inscribed angle B subtends arc ADC. So we'll use the inscribed angle theorem again, but this time go in reverse from before. We'll cut that 205 degree angle in half to get 205/2 = 102.5 degrees which is the measure of angle B. This value is exact. In this case, we don't need to apply any rounding.
Phil’s age is 7 years more than times Peter’s age. Also, 4 times Phil’s age is 2 years less than twice Peter’s age. If x is Peter’s age in years, identify the equation that represents this situation and identify the solution to the equation.
Answer:
2x-4(x+7)=2
Step-by-step explanation:
Peter's age:x.... twice age:2x
Phil's age:x+7...4times age:4(x+7)
Difference if ages is 2
Hence; 2x-4(x+7)=2
Answer:
Answer
4.9/5
38
loitzl9006
Ambitious
54 answers
6.5K people helped
Answer:
x=25
Step-by-step explanation:
we know that "x" is Peter's age
assume that "y" is Phil's age
In the sentence "Phil's age is 7 years more than 1/5 times than Peter's age" are two things: "Phil's age": y and "1/5 times Peter's age": 1/5 x
create equation with these two things
y = 1/5 x
including "7 years more"
many people make a lot of errors with it, they dont know: y+7 = 1/5 x or y=1/5 x + 7 ?
in order to avoid mistakes
read the sentence and point, which: y or 1/5 x is greater and smaller
"Phil's age is 7 years more than ..."
so y is greater, and 1/5 x smaller
y = 1/5 x
greater = smaller
we must add 7 to smaller number to make an equality
greater = smaller + 7
y = 1/5 x + 7
Second sentence:
"4 times Phil's age is 2 years less than twice Peter's age."
Two things: "4 times Phil's age": 4y and "twice Peter's age": 2x
4y = 2x
read the sentence once again
"4 times Phil's age is 2 years less than (...)" , so 4y - smaller, 2x - greater
4y = 2x
smaller = greater
including "2 years less" we add 2 to a smaller number
smaller + 2 = greater
4y + 2 = 2x
Substitute y=1/5 x + 7 to the equation 4y+2 = 2x
Step-by-step explanation:
A s A p P p pP p p p p P P PP PpPppPP P P P PPPPPPPppppppppPPPpP
Answer:
the answer is three , but let me try to help explain...
in a line the slope (M) as in y=mx + b
is a constant number ... rise over run for every unit in the x direction the y changes by that amount
in your graph what you have to do is locate where the red line crosses the grid in a "nice" (at the corner of a box).... notice that at the 2 for yards it exactly crosses at the 6 for feet...
that suggests that the "slope", "proportional constant" ,rise over run".
"gradient" what ever the word you want to use is 6/2 which is 3
Step-by-step explanation:
Work out the value of 10^2 - 4^3
Give your answer as a power of 6.
Answer:
6^2 = 36
Step-by-step explanation:
10^2 = 10 * 10 = 100
4^3 = 4 * 4 * 4 = 64
10^2 - 4^3= 100 - 64 = 36 = 6^2
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]6^2[/tex]
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Calculating the answer...}}\\\\10^2 - 4^3\\---------------\\\rightarrow 10^2 = 100\\\\\rightarrow 4^3 = 64\\\\\rightarrow 100 - 64 = \boxed{36}\\\\\text{Since we know that '36' is a perfect square, we can rewrite our answer as: } \boxed{6^2}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Whats the answer
HURRY IM BEING TIMED
Answer:
(C.
I THINK-
Step-by-step explanation:
2. Terrence is tracking his own grades. On his first quiz, he got 3 points correct out of 20
points possiblé, or 15%. On his second quiz, he got all 30 points correct.
a. How many points has Terrence earned so far?
SAS
b. How many total points were available on the two quizzes?
c. What is Terrence's percentage grade right now?
Answer:
a) 33
b) 50
c) 66%
Step-by-step explanation:
a) 3+30
b) 20+50
c) 33/50 * 100% = 66%
Given: m∠V=103°, m∠VRT=71°, RS ∥ VU Find: m∠TRS, m∠U
Answer:
m∠TRS = 6°
m∠U = 103°
Step-by-step explanation:
In the given figure,
O is the center
RS ∥ VU
m∠V = 103° &
m∠VRT = 71°
So,
m∠V + m∠R = 180° (∵ sum of co-interior angles)
⇒ m∠R = 180° - 103° (m∠V = 103° is given)
∵ m∠R = 77° ...(i)
Now,
m∠R = m∠TRS + m∠VRT
by putting the values given
⇒ m∠TRS = 77° - 71°
∵ m∠TRS = 6°
As we know that,
VURT is a cyclic quadrilateral. So,
m∠U + m∠R = 180°
⇒ m∠U + 77° = 180° (from equation (i)
∵ m∠U = 180° - 77° = 103°
