Step-by-step explanation:
[tex] \frac{14}{ \sqrt{2} } + \sqrt{50} \\ \frac{ \sqrt{2} \times \sqrt{2} \times 7}{ \sqrt{2} } + \sqrt{25 \times 2} \\ \\ 7 \sqrt{2} + 5 \sqrt{2} = 12 \sqrt{2} [/tex]
The given expression can be written in the form of b√2 as 12√2 where b = 12.
What is an Algebraic expression?An algebraic expression can be obtained by doing mathematical operations on the variable and constant terms.
The variable part of an algebraic expression can never be added or subtracted from the constant part.
The given expression is [tex]14/\sqrt{2}+\sqrt{50}[/tex].
It can be rewritten as,
[tex]14/\sqrt{2}+\sqrt{50}[/tex]
Multiply √2 to both numerator and denominator of 14/√2 as,
14√2/2 + √50
⇒ 7√2 + √(5 × 5 × 2)
⇒ 7√2 + 5√2 = 12√2
On comparing 12√2 with b√2, it is obtained as,
b = 12
Hence, the given expression can be written as 12√2.
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Describe the pattern. Draw what might be the next three figures in the pattern
Answer:
i dont know lol
Step-by-step explanation:
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
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.
Triangle PQR is isosceles with PQ = PR. A semi-circle
with diameter [PR] is drawn which cuts [QR] at X.
Prove that X is the midpoint of [QR).
can someone help me with this
Answer:
C≈81.68
Step-by-step explanation:
I hppe this helps! ^^
☁️☁️☁️☁️☁️☁️☁️☁️
Deriving the Trigonometric Area Formula
Follow these steps to derive the trigonometric area formula,
1. For LABD, sin(A) =
B
h
А
D
Check
b
Answer:h/c
Step-by-step explanation:
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
A 228 foot cable is attached to a 43 foot tower. What
angle would the cable make with the ground?
After a price increase of 20% the cost of entry to a museum rose to $25.80.
Find the original price.
-------------------------------------------- Please help and explain how to do this equation. Tia
Answer:
$20.64
Step-by-step explanation:
0.20x25.80=5.16
25.80-5.16=20.64
The original price to get entry to a museum is $20.64 .
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
Let call 'a' be the original price.
if it rose of 20 % , it's mean that it will multiplicate by 0.20
0.20 x 25.80=5.16
a = 25.80 - 5.16=20.64
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Function or not a function?
yo no se ok yo no se solamente qiero puntos
Each pair of polygons is similar. Find the values of x and y.
7. 6
х
7
6
8.
9.
X
14
12
10
у
6
13
9
9
12
8
у
5
8
у
Answer:
I think..........
Step-by-step explanation:
x=5,11
y=8,8,11
Estimate 0.52 + 1.2 and explain how you made your estimate. Please hurry this is due soon!!
Answer:
1.72
Step-by-step explanation:
0.52 plus 1.2 is equal to 1.72
Answer:
1.5
Step-by-step explanation:
0.52+1.2
approx.
0.5+1.0=1.5
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
Maya, Ahmad, and Joe served a total of 75 orders Monday at the school cafeteria. Joe served 2 times as many orders as Maya. Ahmad served 5 fewer orders
than Maya. How many orders did they each serve?
Total number of orders served by Maya, Ahmad and Joe on Moday = 75
Let the number of orders Maya served be x.
Then :
Number of orders Joe served = 2x
Number of orders Ahmad served = x - 5
This can be written in an equation as :
[tex] \tt \: 2x + x - 5 + x = 75[/tex]
[tex] = \tt 4x - 5 = 75[/tex]
[tex] = \tt 4x = 75 + 5[/tex]
[tex] = \tt 4x = 80[/tex]
[tex] = \tt \: x = \frac{80}{4} [/tex]
[tex] = \tt \: x = 20[/tex]
Which means :
Number of orders Joe served :
= 2 × 20
= 40
Thus, Joe served 40 orders.
Number of orders Maya served = 20
Number of orders Ahmad served :
= 20 - 5
= 15
Thus, Ahmad served 15 orders.
Therefore, Maya served 20 orders Ahmad served 15 ordersJoe served 40 orders.If a town with a population of 500 doubles in size every 80 years, what will the population be 160 years from now?
Answer: 2000
Step-by-step explanation:
From the information, we are informed that a population of 500 doubles in size every 80 years. Therefore, the population in 160 years will have doubled twice i.e 160/80 = 2 times
First time doubling = 500 × 2 = 1000
Second time doubling = 1000 × 2 = 2000
could anyone help with this sheet? please!
Answer:
1) 5 are absent and 20 are present
2) $42.50
3) $155.29
4) $535.50
5) $107.52 per year and $8.96 per month
Step-by-step explanation:
Answer:
Step-by-step explanation:
Q1:
25*20/100=5
25-5=20
answer: 5 absent and 20 present
Q2:
50*15/100=7.5
50-7.5=42.5
answer: 42.5
Q3:
146.50*6/100=8.79
146.50-8.79=137.71
answer: 137.71
Q4:
30%-5%=25%
150*25/100=37.5
150-37.5=112.5
answer: 112.5
Q5:
96*12/100=11.52
96+11.52=107.52
answer for the first part: 107.52 per year
107.52/12=8.96
answer for the last part: 8.96 per month
-----------------------------------------------------------------------
I hope it was simple :)
help me pls will mark my day no explanation needed
Answer:
2
Step-by-step explanation:
It's going 2 up and 1 across.
PLEASE HELP ME I BEG OF YOU PLEASE I REALLY NEED HELP
Answer:
Step-by-step explanation:
A line adds up to 180 degrees
180 - 81 = 99 degrees
Answer:
99 degrees
Step-by-step explanation:
These are Supplementary Angles:
Supplementary Angles are two angles that equal 180 degrees, this can be determine if the main line is a straight line, s for straight angle
A straight angle is 180 degrees, so simple subtraction:
180-81=99
I hope this helps!
please give thanks, maybe brainliest?
What is the volume, in cubic inches, of one cube with an edge length of inch?
Answer:
We know that each cube with a -inch edge length has a volume of cubic inch, because . Since the prism is built using 24 of these cubes, its volume, in cubic inches, would then be , or 3 cubic inches.
Step-by-step explanation:
Solve the original equation 2+1/b+2=3b/b+2 by solving the proportion. The solutions are
a.-6,-1 b. -6,1 c. -1,6 d. 1,6
Answer:
b=1
Step-by-step explanation:
2b+1+2b=3b+2b
4b+1=5b(Simplify both sides of the equation)
4b+1−5b=5b−5b(Subtract 5b from both sides)
−b+1=0
−b+1−1=0−1(Subtract 1 from both sides)
−b=−1
−b
−1
=
−1
−1
(Divide both sides by -1)
b=1
Check answers. (Plug them in to make sure they work.)
b=1(Works in original equation)
Answer:
D, 1,6
Next is Neither
And the first one was C
On Edgenu ity
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:
How many solutions does the system have? 13x + 4y = 33 26y + 8x =66
Answer:
55
Step-by-step explanation:
explain how to solve 6 - 2x = 3
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
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
Jerry buys t-shirts for $6 each and marks up the price by 45%.
How much profit does Jerry make from each t-shirt sold?
help pleaseee
Answer:
$2.70
Step-by-step explanation:
to find out he marks up each shirt by, just do 45% of 6 or 0.45 * 6 = $2.70
If Jerry buys a t-shirt for $6 and sells it for 45% more than she bought it, then jerry is selling them for $8.70 and making $2.70 for each t-shirt she sells, because 45% of 6 is 2.7
You can find this answer by multiplying the percentage by the number (.45 x 6)
14 feet:_____ yards__ foot make sure both yards an foot.
Answer:
The speaker is a child who cannot understand the concept of a shadow or what it is, that it isn't another person, and instead looks at his shadow in a new way, showing the reader how to think past the mere science of it. rhuman being.
Step-by-step explanation:
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:
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
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