Answer:
Yes.
Step-by-step explanation:
Velocity is the direction and how fast something is going. The two planes having the same velocity means that they are going the same speed and direction.
Over 20 years, the population of a town
decreased by 275 people to a population of
850. Write and solve an equation to find the
original population.
Answer:
p= 1125
Step-by-step explanation:
p-275= 850
p- 275= 850
+ 275 +275
p= 1125
P= the original population minus D= decrease in population is equal to C= the current population
p-d=c
Answer:
1125 people
Step-by-step explanation:
We don't know the exact quantity, but we know it has decreased by 275 and it's currently 850, so we will represent it like this:
x - 275 = 850
x = original amount of people
Now we just solve it like any equation
x = 850 + 275
x = 1125
Hope it was helpful ;)
Is (1, 10) a solution to this system of inequalities?
y < x + 10
y < 8x + 7
One of the roots of equation x^(2)-(3p-4)x+11p-5=0 is 8. Find the other root. Find the value of p.
Answer:
Other root is 9 and p = 7.
Step-by-step explanation:
x^(2) - (3p-4)x + 11p-5 = 0 , x = 8.
Let the other root be A, then using the formula for the product and sum of the roots of a quadratic equation:
8* A = 11p - 5
8 + A = -(-(3p - 4))
8 + A = -(-3p + 4)
8 + A = 3p - 4
A = 3p - 12.
Multiply this last equation by 8:
8A = 24p - 96
Now subtract the first equation from this:
8A - 8A = 24p - 11p - 96- (-5)
0 = 13p - 91
13p - 91 = 0
p = 91/13 = 7
and A = 3(7) - 12
= 9.
Answer:
Other root 9, p is 7
Step-by-step explanation:
Two sides of a rectangle are both 4 inches. If the
perimeter is 30 inches, write and solve a two-step
equation to find the missing lengths. Help
Answer: 2(4)+2b=30 /missing lenght=11
Step-by-step explanation: We know the equation of a rectangle is 2a+2b=perimeter "a" and "b" both represent a side length
2(4)+2b=30 <--- Plug in the know side lenght
8+2b=30
8(-8)+2b=30(-8) <--- Subtract "8" from both sides to further solve
2b=22
2b/2=22/2 <--- Divide each side by "2"
b=11
When 0.5(20x – 50y + 36) – 0.25(–100x + 40y – 12) is simplified, what is the resulting expression?
A) 10x - 25y + 18 - 25x + 10y - 3
B) -15x - 15y + 15
C) -10x + 25y + 18 + 25x - 10y + 3
B) 35x - 35y + 21
Answer:
D. 35x-35y+21
Step-by-step explanation:
write the indicated trig ratio as a fraction
Sin K =
A sweater was discounted by 36%. The amount if the discount was $27. What was the cost of the sweater?
Answer:
The cost of the sweater would be $17.28
an isosceles right triangle has an area 8 cm square find the length of its hypotenuse
please answer me fast
Answer:
5.9
Step-by-step explanation:
Area of a triangle is 1/2 base times height. the base is the horizontal part of the triangle and the height is the vertical part. Since it a isosceles they are equal. Those two segment are also called the legs (remember that for later). 4x4=16 times 1/2 equal 8 cm squared. So know me must find the hypotenuse. Since we since dealing with a right triangle we are going to use pythagorean theorem which is
[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]
where a and b are the LEGS and c is the hypotenuse. the legs are also known as base and height so we use
[tex] {4}^{2} + {4}^{2} = {c}^{2} [/tex]
which simplify to
[tex]16 + 16 = {c}^{2} [/tex]
[tex]32 = {c}^{2} [/tex]
[tex] \sqrt{32} [/tex]
which is about 5.9
A 228 foot cable is attached to a 43 foot tower. What
angle would the cable make with the ground?
can someone help me with this
Answer:
C≈81.68
Step-by-step explanation:
I hppe this helps! ^^
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tan 2A + sin 2A=4 tan A/(1 - tan4 A)
Answer:
[tex]when \: \\ \tan(2x) = \frac{2 \tan(x) }{1 - {( \tan(x)) }^{2} } \: \: and \\ \sin(2x) = \frac{2 \tan(x) }{1 + {( \tan(x)) }^{2} } \\ then \\ \sin(2x) + \tan(2x) = \frac{2 \tan(x) }{1 - {( \tan(x)) }^{2} } + \frac{2 \tan(x) }{1 + {( \tan(x)) }^{2} } \\ = \frac{2 \tan(x)(1 + {( \tan(x)) }^{2} + 2 \tan(x) (1 - {( \tan(x)) }^{2} }{(1 + {( \ \tan(x)) }^{2}(1 - {( \tan(x)) }^{2} } \\ = \frac{2 \tan(x) \times 2 }{1 - {( \tan(x) }^{4} } \\ = \frac{4 \tan(x) }{1 - {( \tan( \times ) )}^{4} } [/tex]
Step-by-step explanation:
If you need any explanation. I can do it, my friend. you can communicate with me to that or any thing do you need in math
can you help me please
Answer:
x = 2
Explanation:
according to BPT theorem,
BD BE
---- = ----
DA EC
6 x+1
--- = ----
4 x
6x = 4x +4 ( cross multiplication)
transposing,
6x -4x=4
2x= 4
x= 2
hence x=2
BE = x+1 =2+1 =3
EC = x =2
explain how to solve 6 - 2x = 3
72 millimeters to 3 meters
The ratio is 24:1000 or 0.024.
What is Ratio?A ratio is a comparison between two amounts that is calculated by dividing one amount by the other. The quotient a/b is referred to as the ratio between a and b if a and b are two values of the same kind and with the same units, such that b is not equal to 0. Ratios are represented by the colon symbol (:). As a result, the ratio a/b has no units and is represented by the notation a: b.
Given:
72 millimeters to 3 meters
Now, Convert 3 meter to millimeter
3 meter= 3 x 1000
= 3000 mm
Then, ratio is
= 72 / 3000
= 24/1000
= 0.024
Learn more about ratio here:
https://brainly.com/question/13419413
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Circle O is shown. Secant A C intersects tangent C D at point C outside of the circle. Secant A C intersects circle O at point B and tangent C D intersects circle O at point D. Point E is on arc A D. Angle A C D is 57 degrees.
Aaron is standing at point C, watching his friends on a Ferris wheel. He knows that he is looking up at a 57° angle and the measure of arc BD is 80°. What is the measure of arc AED?
°
That would be 194 my friend!
Answer:
194
Step-by-step explanation:
In terms of the water lily population change, the value 3.915 represents:
Answer:
he initial number of water lily’s :the value 1.106 represents the population increase rateedge
Step-by-step explanation:
The value 3.915 represents the initial population in the exponential equation of water lilies.
What are exponential functions?When the expression of function is such that it involves the input to be present as exponent (power) of some constant, then such function is called exponential function.
There usual form is specified below. They are written in several such equivalent forms.
The standard exponential equation is given as; y = ab^x
where;a is the initial population b is the rate (growth or decline)
We have been Given the exponential equation; y = 3.915(1.106^x)
On comparison, we can see that,
a = 3. 915
Hence, This shows that the value 3.915 represents the initial population of water lilies.
Learn more on exponential equation here:
brainly.com/question/2456547
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Can someone help me with this problem . I have to show my work.
Answer:
Step-by-step explanation:
perimeter=2(100+16)
=2(116)
=232 cm
area=100(16)
=1600 cm²
A worker on the production line is paid a base salary of $170 per week plus $1.21 for each unit produced. Write an equation to represent his earnings of $491.86 for a week when he produced x units. How many units did he produce? Use pencil and paper. If the worker had produced twice that number of units, what would his earnings have been? Show your work.
Answer:
Part 1)
$170 + $1.21x = $491.86
Part 2)
170 + 1.21x + 491.86
1.21x = 491.86 - 170
1.21 x = 321.86
1.21x/ 1.21 = 321.86/ 1.21
x = 266 units produced
Part 3)
Twice that number of units = 266 x 2 = 532
$170 + ($1.21 x 532) =
$170 + $643.72 = $813.72
Pleaseeeee helppp answer correctly !!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!
Answer:
x = 6
Step-by-step explanation:
AC = 5x - 24
AO = 3
AC and BD bisect each other at point O. This means AC ≅ CO.
So, 2(AO) = AC.
2(3) = 5x - 24
Multiply.
6 = 5x - 24
Combine the constants.
30 = 5x
Divide by 5.
x = 6
Pleaseee helpp answer correctly !!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!!
Answer:
4
Step-by-step explanation:
In a parallelogram AO and OC are equal. Therefore you should set up the equation 3x-4=8. When you add 4 to both sides you get 3x=12. When you divide both sides by 3 you get x=4
i need help like need it pls help
Describe the pattern. Draw what might be the next three figures in the pattern
Answer:
i dont know lol
Step-by-step explanation:
Which set of numbers forms a right triangle
Which table represents a nonlinear function?
X 1
2 3 4
5
6
A
y 3 6 9 12 15 18
X 2 4 6
00
10 12
B
y 4 7 10 13 16 19
X -2 -1 0 1
2 3
C
у
4 2 1 1.5 0.5
Answer:
3 ONE
IS IT RIGHT
Pls help
(Show your work pls!)
1. Solve for w
21+2w=p
2. Solve for a
2a+b=c
3. Solve for a
b-2a=c
1.
Step 1: Flip the equation.
p=2w+21
Answer:
p=2w+21
2.
Step 1: Add -b to both sides.
Step 2: Divide both sides by 2.
Answer:
a= −1 /2b+1/2 c
3.
Step 1: Add 2a to both sides.
−2a+b+2a=c+2a
b=2a+c
Answer:
b=2a+c
the graph shows the number of girls and boys that were members of the schools debate during 5 years team
Answer: The number of girls on the debate team increased each year during these 5 years.
Step-by-step explanation:
Angela starts a blog about wheelchair basketball. In the first 4 days,
the blog gets 22 new subscribers. At this rate, how many new
subscribers can Angela expect in 30 days? Show your work.
Thomas decides on a destination for his vacation. If he takes the train there, it will take 5 1/8 hours to get there. If he takes the plane, it will take him 2 2/3 hours
Answer: 2 11/24
Step-by-step explanation:
How many hours does the plane save?
Time taken for the train = 5 1/8
Time taken for the plane = 2 2/3
The number of hours saved will then be:
= 5 1/8 - 2 2/3
Let the lowest common multiple be 24
= 5 3/24 - 2 16/24
= 2 11/24
The number of hours saved by the plane will be 2 11/24
Learning Task 3
A. Write each sentence as:
(a) Conditional Statement
(c) Inverse Statement
(b) Converse Statement
(d) Contrapositive Statement
1. Vegetables are good for your health.
2. 3x + 8 = 14, x = 2
3. A right triangle has a 90° angle.
4. An eagle is a bird.
5. A whale is a mammal.
6. Two circle with equal diameters are congruent.
7. An angle that measures between 90 and 180 degrees is obtuse
angle.
8. Two planes with no common point are parallel.
9. Carrot is rich in Vitamin A.
10. All reptiles have scales.
B. Determine which statements in A both the conditional and converse
statements are true. Write it in biconditional statement.
IF WHO ANSWER THIS CORRECTLY I WILL TRANSFER MY 500+POINTS TO HER/HIM AND BRAINLIEST ANSWER don't try to answer rude i will bann it
Answer:
A)
1.
Statement is - Vegetables are good for your health.
Let P - There are Vegetables , Q - they are good for health
Conditional statement is -If there are Vegetables , then they are good for the health.
Inverse Statement is - If there are no Vegetables, then they are not good for health.
Converse statement - If they are good for health , then they are vegetables.
Contra-positive statement - If they are not good for health , then they are not vegetables.
2.
Statement is - 3x + 8 = 14, x = 2
Let P - 3x + 8 = 14 , Q - x = 2
Conditional statement is -If 3x + 8 = 14 , then x = 2.
Inverse Statement is - If 3x + 8 ≠ 14 , then x ≠ 2.
Converse statement - If x = 2 , then 3x + 8 = 14
Contra-positive statement - If x ≠ 2 , then 3x + 8 ≠ 14
3.
Statement is - A right triangle has a 90° angle.
Let P - Triangle has a 90° angle , Q - It is right triangle .
Conditional statement is -If Triangle has a 90° angle , then It is right triangle.
Inverse Statement is - If Triangle has not a 90° angle , then It is not right triangle.
Converse statement - If It is right triangle , then Triangle has a 90° angle.
Contra-positive statement - If It is not a right triangle , then Triangle has not a 90° angle.
4.
Statement is - An eagle is a bird .
Let P - It is an eagle , Q - It is a bird
Conditional Statement - If it is an eagle , then it is a bird.
Inverse statement - If it is not eagle , then it is not bird.
Converse statement - If it is a bird , then it is an eagle.
Contra-positive statement - If it is not a bird , then it is not an eagle.
5.
Statement is - A whale is a mammal
Let P - It is a whale , Q - It is a mammal
Conditional Statement - If it is a whale , then it is a mammal.
Inverse statement - If it is not whale , then it is not mammal.
Converse statement - If it is a mammal , then it is a whale.
Contra-positive statement - If it is not a mammal , then it is not a whale.
6.
Statement is - Two circle with equal diameters are congruent
Let P - Two circles have equal diameters , Q - They are congruent
Conditional Statement - If Two circles have equal diameters , then they are congruent.
Inverse statement - If two circles have not equal diameters , then they are not congruent.
Converse statement - If two circles are congruent , then they have equal diameters.
Contra-positive statement - If two circles are not congruent , then they have not equal diameters.
7.
Statement is - An angle that measures between 90 and 180 degrees is obtuse angle
Let P - An angle that measures between 90 and 180 degrees , Q - They are obtuse angle.
Conditional Statement - If An angle that measures between 90 and 180 degrees , then they are obtuse angle.
Inverse statement - If An angle that does not measures between 90 and 180 degrees , then they are not obtuse angle.
Converse statement - If an angle is obtuse angle , then that angle measures between 90 and 180 degrees.
Contra-positive statement - If an angle is not an obtuse angle , then that angle does not measures between 90 and 180 degrees.
8.
Statement is - Two planes with no common point are parallel.
Let P - Two planes have no common point , Q - they are parallel.
Conditional Statement - If Two planes have no common point , then they are parallel.
Inverse statement - If two planes have common point , then they are not parallel.
Converse statement - If two planes are parallel, then they have no common point.
Contra-positive statement - If two planes are not parallel, then they have common point.
9.
Statement is - Carrot is rich in Vitamin A.
Let P - There are carrots , Q - they are rich in Vitamin A
Conditional statement is -If There are carrots , then they are rich in Vitamin A.
Inverse Statement is - If there are no carrots , then they are not rich in Vitamin A.
Converse statement - If they are rich in Vitamin A , then they are carrots
Contra-positive statement - If they are not rich in Vitamin A , then they are not carrots.
10.
Statement is - All reptiles have scales.
Let P - All are reptiles , Q - they all have scales.
Conditional statement - If all are reptiles , then they all have scales.
Inverse statement - If all are not reptiles , they have no scales.
Converse statement - If all have scales , then all are reptiles.
Contra-positive statement - If all have no scales , then they all are not reptiles.
B)
1. Both the conditional and converse statements are true.
Bi-conditional statement - There are vegetables if and only if they are good in health.
3. Both the conditional and converse statements are true.
Bi-conditional statement - A triangle has a 90° angle if and only if it is a right triangle.
6. Both the conditional and converse statements are true.
Bi-conditional statement - Two circle are equal diameter if and only if they are congruent.
7. Both the conditional and converse statements are true.
Bi-conditional statement - An angle that measures between 90 and 180 degrees if and only if it is an obtuse angle.
8. Both the conditional and converse statements are true.
Bi-conditional statement - Two planes has no common point if and only if they are parallel.
How to sketch an angle in standard position
Answer:
Drawing an angle in standard position always starts the same way, draw the initial side along the positive x-axis. To place the terminal side of the angle, you must calculate the fraction of a full rotation the angle represents.
Answer:
Get the number of rotations of the given angle by dividing 360 degrees with respect to positive x-axis.
Step-by-step explanation:
1. First draw a horizontal line (along x-axis).
2. Locate the terminal side of the angle by dividing 360 degrees. Recall that one full rotation is equal to 360 degrees. So, to sketch 360 degrees, we will divide it by 360 degrees resulting in 1.
3. Similarly to draw 180 degrees, divide 180 by 360. This will result in 1/2. Therefore, it is half the way from x-axis.