Answers
Answer : x = 4
Step-by-step explanation:
Area = 1/2 × base × height
Area= 200cm²
base = 5x
height = 5x
200cm² = 1/2 × base × height
200 = 1/2 × 5x × 5x
200 = 1/2 × 25x²
2( 200) = 25x²
400 = 25x²
16 = x²
4 = x
Answer: " x = 4 " .
______________________________________
Step-by-step explanation:
______________________________________
The formula for the area of a triangle:
Area, "A" = (1/2) * base * height;
that is: A = (1/2) * b * h ;
From our given problem and image/diagram:
A = 200 cm² ;
b = 5x ;
h = 5x ;
We are asked to find the value for "x" ;
A = (1/2) * b * h ;
Plug in our known values:
200 cm² = (1/2) * 5x * 5x ;
Simplify:
200 cm² = (1/2)*(25x²) ;
200 cm² = (12.5)x² ;
⇔ (12.5)x² = 200 cm² ;
Divide each side by: " (12.5)" ;
(12.5)x² / (12.5) = (200 cm²)/(12.5) ;
to get: x² = 16 ;
Take the positive square root of each side of the equation; to get the value for "x" ;
⁺ [tex]\sqrt{x^{2} } =[/tex] ⁺ [tex]\sqrt{16}[/tex] ;
to get:
x = 4 .
________________________
Good luck to you in your academic endeavors!
________________________
Related Questions
the value of y varies directly with x. If x=13, ten y=65. What is the value of x when y=35?
Answers
Answer:
x=7
Step-by-step explanation:
direct variation is in the form y=kx
65 = k 13
by dividing both sides be 13, we see that 5 = k
thus, we can then take the next situation 35 = 5x
dividing both sides by 5 brings us to 7 = x
The distance between two rivers is 280 kilometers. There are approximately 8 kilometers in 5 miles. Which measurement is closest to the number of miles between the two rivers?
Answers
Answer:
105miles
Step-by-step explanation:
If 8km = 5miles
Then the number of miles between the two towns = 280/8 × 5
= 35 × 5
= 105miles
hi I dont really understand
Answers
Answer:
Option 2
Step-by-step explanation:
The length is unknown, so it is l for now. A rectangle has 2 lengths and widths, so the values are 2w and 2l. The sum of 2w and 2l have to be greater than or equal to 776, so the answer is option 2. If you solve the inequality, the length is equal to or greater than 355
Is the following relation a function?
Answers
Answer:
Yes
Step-by-step explanation:
Answer:
no
Step-by-step explanation:
Bob played a trivia game in which he lost 3 points for each incorrect answer and gained 8 points for each correct answer. If Bob answered 11 questions correctly and 4 questions incorrectly, what was his total score?
Answers
Answer:
76
Because 11*8=88 and 4*3=12
88-12=76
HELP PLS (picture below)
Answers
5.26x10^3 = 5,260
C
Because it will equal 5,260 but all the other are bigger
Steven sells bags of different kinds of cookies. He made $27 selling bags of Oreos, $18 selling chocolate chips cookies, and $45 selling chunky sugar cookies. Each bag of cookies costs the same amount. What is the most that Steven could charge for each bag of cookies?
Answers
Answer:
9 dollars
Step-by-step explanation:
It would be 9 dollars because that is the only common factor that could go into 27, 28, or 45.
You flip a coin. What is p(heads)? Write your answer as a percentage rounded to the nearest tenth
Answers
Answer:
0.50%
Step-by-step explanation:
3.f(-4)-3.g(-2) please
Answers
Step-by-step explanation:
3.f(-4)-3.g(-2)
3 [f(-4) - g(-2)]
the sum of the 2 integers is -112. if one of them is -109 find the other
Answers
Answer:
let x and be the two integers
x+y=-112
if one of them is -109
let x be one of the that is substitute-109 to the above equation
-109+y=-112
collect like terms to the left hand side.
-109+112=-y
3=-y
move the sigh to the constant
y=-3
Emily decides that 3 pizzas will feed 10 people. How many pizzas will feed 150 people?
Answers
Answer:
45 pizzas
Step-by-step explanation:
She has to feed a crowd fifteen times bigger
The first side of a triangle is 2 inches shorter than three times the second side. The third side is 1 inch longer than twice the second side. If the perimeter of the triangle is 101 inches, how long is each side?
(Answer to get brainliest)
Answers
Answer:
17in, 49in, 35in
Step-by-step explanation:
I did this in my RSM homwork and it is correct.
First, I added the two inches shorter to the 101, then subtracted 1 longer and got 102.
then divide 102 by how many second lengths, 6. so 102 ÷ 6 = 17
17 is the second length.
3x17-2=49 (another length)
2x17+1=35 (last length)
and there is your answer!
First side : 49
Second side : 17
Third side : 35
What is the perimeter of a triangle?
If triangle has sides a, b, c , then the perimeter of that triangle will be P= a +b +c.
Now, according to the question
Let second side be (b) = x unit
then, First side will be (a)= 3x-2 unit
and Third side will be (c)= 2x + 1 unit
since , perimeter is 101
P = a + b + c
x + 3x -2 + 2x + 1 = 101
6x - 1 = 101
x= 17
hence , b = 17 unit
a= 3*17 - 2 =49 unit
c = 2*17 +1 = 35 unit
Lets learn more about perimeter of a triangle
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Noah’s dog weighs 15 1⁄3 pounds (lbs). Aiden’s dog weighs three times as much as Noah’s. How many pounds does Aiden’s dog weigh?
Answers
===============================================
Work Shown:
N = weight of Noah's dog = 15 & 1/3 pounds
A = weight of Aiden's dog = unknown
A = 3*N
A = 3*(15 & 1/3)
A = 3*(15 + 1/3)
A = 3*15 + 3*(1/3) .... distribute
A = 45 + 1
A = 46
Aiden's dog weighs 46 pounds.
which could be the function graphed below
Answers
Answer:
B
Step-by-step explanation:
Raphael wants to join a game-of-the-month club. The first club costs $60 to
join and $8 per game. The second club costs $11 per game and has no fee to join.
Create an equation to find how many games would need to be purchased from each
club for the clubs to cost the same.
Answers
Answer:
1st club 8 games 2nd cub 1
Caroline's car used 16 gallons to travel 544 miles. How far can she travel on 9 gallons?
Answers
Answer:306 miles
Step-by-step explanation:
Help mehh please
Alaina has $28 in her account. She wants to purchase a pair of shoes that costs $45. If Alaina makes the purchase, which integer will represent the amount of money in Alaina’s account?
–73
–27
–23
–17
Answers
Answer:
The real answer is -17, do the math.
Step-by-step explanation:
28 - 45= -17
28 + 17 = 45
45 - 28 = 17
Mike and Larry are friends who share the same birthday.They decided to have a birthday party together and their friends. Mike received 21 gifts while Larry received 12 gifts. What is the ratio of gifts for Mike to Larry
Answers
Answer:
21:12
Step-by-step explanation:
Answer:
7:4
Step-by-step explanation:
because u simplify 21:12 and u would get 7:4
3x + -18x + 26x + -11x
Answers
Answer:
0
Step-by-step explanation:
First, you have 3x and subtract 18x from it. This gives you -15x.
Then you have positive 26x, so you add 26x onto -15x.
After doing so, you have a positive 11x.
Now you need to subtract 11x from 11x.
Your final answer is 0! (No need to put x since it is just zero.)
Have a nice day and mark brainliest if you can, I would appreciate it tons!
When a whole number is multiplied by 10to the 5th power, how does the placement of the decimal point change? a It moves five places to the right. b It moves ten places to the right. c It moves five places to the left. d It moves ten places to the left.
Answers
Answer:
The correct option is;
a) It moves five places to the right
Step-by-step explanation:
Multiplying a whole number by 10 raised to a given (positive whole number) power, involves the shifting of the positioning of the decimal places to the right, depending on the value of the positive whole number power to which the 10 is raised
Similarly, multiplying a whole number by 10 raised to a given (negative whole number) power, involves the shifting of the positioning of the decimal places to the left, depending on the value of the negative whole number power to which the 10 is raised.
The reason is because, the number base generally used for arithmetic is in base 10 and multiplying or dividing by 10 is what is required to change a number's place value
Therefore, multiplying a whole number by 10 raised to the 5th power (10⁵) requires shifting the decimal place 5 places to the right
Example:
x.0 × 10⁵ = x00000.0
Where, x is a whole number.
Which pairs of numbers have an LCM of 24? Choose ALL that apply.
A: 3 and 8
B: 2 and 12
C: 6 and 4
D: 8 and 6
E: 4 and 12
Answers
Answer: The answer is A and D.
Step-by-step explanation:
The pairs of numbers that have 24 as their least common multiple are 3 and 8 and 8 and 6.
What is the least common multiple?A multiple of a number is the product of an integer and that number. The least common multiple is the smallest multiple that is common to two numbers.
Least common multiple of 3 and 8 = 24
Least common multiple of 2 and 12 = 12
Least common multiple of 6 and 4 = 12
Least common multiple of 8 and 6 = 24
Least common multiple of 4 and 12 = 12
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Tina is building a birdhouse. The plans have a scale of
1 cm : 2.5 inches. A rectangular wall of her birdhouse has a drawing length of 2 cm and a width of 4 cm. What will the actual area of the wall be?
Answers
Answer: Actual area of wall = 50 sq. inches
Step-by-step explanation:
Given: Scale : 1 cm : 2.5 inches
A rectangular wall of her birdhouse has a drawing length of 2 cm and a width of 4 cm. What will the actual area of the wall be?
So, Actual length = 2 x 2.5 inches = 5 inches
Actual width = 4 x 2.5 inches = 10 inches
Actual area = Actual length x Actual width
= 5 x 10 = 50 sq. inches
Hence, Actual area of wall = 50 sq. inches
If f(x)=ax²+bx+c and f(1)=6,f(2)=11,f(3)=18 find the value of a,b,c
Answers
f(x) = ax² + bx + c
f(1) = 6
f(2) = 11
f(3) = 18
Find:value of a,b,c
Solution:Substitute x = 1 , 2 , 3 in the given polynomial.
★ f(1) = a(1)² + b(1) + c
⟹ 6 = a + b + c -- equation (1)
Similarly,
★ f(2) = a(2)² + b(2) + c
⟹ 11 = 4a + 2b + c -- equation (2)
★ f(3) = a(3)² + b(3) + c
⟹ 18 = 9a + 3b + c -- equation (3)
Subtract equation (1) from (2).
⟹ 4a + 2b + c - (a + b + c) = 11 - 6
⟹ 4a + 2b + c - a - b - c = 5
⟹ 3a + b = 5 -- equation (4).
From equation (3) ,
⟹ 18 - c = 9a + 3b
⟹ 18 - c = 3(3a + b)
Substitute the value of 3a + b from equation (4).
⟹ 18 - c = 3 * 5
⟹ 18 - 15 = c
⟹ 3 = c
substitute the value of c in equation (1).
⟹ 6 = a + b + 3
⟹ 6 - 3 = a + b
⟹ 3 = a + b -- equation (5)
Subtract equation (5) from equation (4).
⟹ 3a + b - (a + b) = 5 - 3
⟹ 3a + b - a - b = 2
⟹ 2a = 2
⟹ a = 1
Substitute a value in equation (5).
⟹ 1 + b = 3
⟹ b = 3 - 1
⟹ b = 2
Therefore,
a = 1
b = 2
c = 3.
I hope it will help you.
Regards.
please help me with this
Answers
A-254
Why?
Because angles 8, 5, 4, and 1 are all equal. Because of this, if angle 8 is equal to 127° so are the other three.
please help !! you don’t need to explain btw !! :))
Answers
Elena wants to make a scale drawing of her apartment. Her apartment is a rectangle with length 18cm and width 10m. She decides on a scale of 1cm to 2m. What are the dimensions of the scale drawing of Elena's apartment, using a scale of 1cm to 2m. The answer should look like: __cm and__cm)
Answers
Answer:
9cm and 5cmStep-by-step explanation:
Note: The unit of the width in the question is suppose to be in cm
"with length 18cm and width 10m"====>>> "with length 18m and width 10m"
so given that the dimension of the room is
18mx10m
This is a reduction process since we aim to transfer the dimension to paper
we are reducing the dimension by 2
and 1cm---2m
since 2m will represent 1cm
then the dimension will be
9cm and 5cm
Tell whether the set of fractions are equivalent.
Explain why or why 5/7 15/21
Answers
Answer:
YESStep-by-step explanation:
[tex]\dfrac{5}{7}=\dfrac{5\cdot3}{7\cdot3}=\dfrac{15}{21}[/tex]
Yes, because you can multiply the numerator and denominator by the same number except 0. The fraction value does not change.
The area of the triangle below is 2/5 square foot.
What is the length, in feet, of the base of the
triangle?
Answers
Answer:
B. 2/3
Step-by-step explanation:
The equation for area of a triangle is A=1/2bh
so we can plug in what were given
2/5 =1/2(6/5)b now we solve for b
2/5=6/10 b
2/5 divided by 6/10 =b
2/5 x 10/6 =b
4/6=b
2/3=b
If CDEF ≅ KLMN, what are the congruent corresponding parts? A. Sides: CD¯¯¯¯¯¯≅LM¯¯¯¯¯¯¯,DE¯¯¯¯¯¯≅KN¯¯¯¯¯¯¯,EF¯¯¯¯¯¯≅KL¯¯¯¯¯¯,CF¯¯¯¯¯¯≅MN¯¯¯¯¯¯¯;Angles: ∠C≅∠N,∠D≅∠M,∠E≅∠K,∠F≅∠L B. Sides: CD¯¯¯¯¯¯≅KL¯¯¯¯¯¯,DE¯¯¯¯¯¯≅LM¯¯¯¯¯¯¯,EF¯¯¯¯¯¯≅MN¯¯¯¯¯¯¯,CF¯¯¯¯¯¯≅KN¯¯¯¯¯¯¯;Angles: ∠C≅∠K,∠D≅∠L,∠E≅∠M,∠F≅∠N C. Side: CD¯¯¯¯¯¯≅KN¯¯¯¯¯¯¯,DE¯¯¯¯¯¯≅MN¯¯¯¯¯¯¯,EF¯¯¯¯¯¯≅LM¯¯¯¯¯¯¯,CF¯¯¯¯¯¯≅KL¯¯¯¯¯¯;Angles: ∠C≅∠L,∠D≅∠K,∠E≅∠N,∠F≅∠M D. Sides: CD¯¯¯¯¯¯≅MN¯¯¯¯¯¯¯,DE¯¯¯¯¯¯≅KL¯¯¯¯¯¯,EF¯¯¯¯¯¯≅KN¯¯¯¯¯¯¯,CF¯¯¯¯¯¯≅LM¯¯¯¯¯¯¯;Angles: ∠C≅∠M,∠D≅∠N,∠E≅∠L,∠F≅∠K
Answers
1=-11+n
Please help me
Answers
Answer:
n=12
Hope this helps!!!!!