Complete question:
Noah drew a triangle so that all the sides are 5 inches long. He wants to draw a new triangle, but increase the length of each side by x inches. The perimeter of the new triangle is 24 inches. Find the value of x and length of the new side.
Answer:
x = 3 inches
The length of the new sides of the triangle is 8 inches
Step-by-step explanation:
If each of the sides of the original triangle is 5 inches, then it is an equilateral triangle.
Let the length of each of the side of the new triangle be, A, B and C.
A = 5 + x
B = 5 + x
C = 5 + x
A + B + C = 24
(5 + x) + (5 + x) + (5 + x) = 24
15 + 3x = 24
3x = 24 -15
3x = 9
x = 9/3
x = 3
A = B = C = 5 + x = 5 + 3 = 8 inches
The length of the new sides of the triangle is 8 inches
a square with an area of 9cm2. If each side has its length doubled, what is the new area?
Answer:
36
Step-by-step explanation:
What is the mean 1 -6 -6 -7 0 -5 3 -4
Answer:
-3
Step-by-step explanation:
i added up all the numbers then divided by how many numbers there was with what i got by adding them up
Answer:
The mean is -3
Step-by-step explanation:
1 -6 -6 -7 0 -5 3 -4
To find the mean you add up all the numbers and divide by the number of numbers
(1 -6 -6 -7+ 0 -5+ 3 -4)/8 =(-24)/8 = -3
The area of a rectangle is given by A(x) = x2 + 5x with x being the height and x + 5 being the base. If the area is 14, what is the only viable solution for the height? Why are there not two solutions?
Answer:
See below.
Step-by-step explanation:
A(x) = x^2 + 5x
A(x) = x^2 + 5x = 14
x^2 + 5x - 14 = 0
(x + 7)(x - 2) = 0
x + 7 = 0 or x - 2 = 7
x = -7 or x = 2
x is the height of a rectangle.
The only viable solution is x = 2 because the height of a rectangle cannot be a negative number such as -7.
The only viable solution for the height is x= 2, because height cannot be a negative value.
What is Rectangle?A rectangle is a quadrilateral with four right angles.
What is Area?Area is the quantity that expresses the extent of a region on the plane or on a curved surface.
What is Quadratic equation?A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is [tex]ax^{2} +bx+c=0[/tex]
Given,
Area of the rectangle = [tex]x^{2} +5x[/tex] = 14
Then,
[tex]x^{2} +5x-14=0\\(x+7)(x-2)=0[/tex]
Therefore x = -7 and 2
But the Height cannot be negative therefore x = 2
Hence, only viable solution for the height is x= 2, because height cannot be a negative value.
Learn more about Rectangle, Area and Quadratic equation here
https://brainly.com/question/12555839
#SPJ2
Add or subtract the fractions by changing them to equivalent fractions with denominator equal to the LCD of the fractions.
A: 2/5+1/5
Answer:
3/5
Step-by-step explanation:
2/5 + 1/5
The denominator is the same, so we add the numerators
3/5
Answer:
3/5
Step-by-step explanation:
We need to add the two fractions 2/5 and 1/5.
First, see if we need to find their common denominator: they both have a denominator of 5, so we're all set there!
Now, just add the numerators together:
2/5 + 1/5 = (2 + 1)/5 = 3/5
The denominator will stay 5 (don't add the 5's together).
The final answer is thus 3/5.
~ an aesthetics lover
How many leaves on a tree diagram are needed to represent all possible
combinations tossing a coin 5 times?
A. 36
B. 16
C. 32
D. 10
Answer: C 32
Step-by-step explanation:
Answer:
C 32
Step-by-step explanation:
{(0, 2), (3, 3), (8, 7), (2, 2), (3,9) }
What is the domain and range for each set of ordered pairs
Hey!!!
Here's your answer:
Domain:{(0,2,3,8)}Range:{(2,3,7,9)}Hope it will help u.
have a great day .....Michael has a set of five cards shown below. Michael will randomly select a card, not replace it, and then select another card. What is the probability that he selects a prime number and then a 1? *
Step-by-step explanation:
The table is not given, but
The Probability that he selects a prime number = (number of prime number) ÷ (total number of all cards)
And
The probability of selecting a 1 = (total number of 1's)÷(total number of all numbers in the deck).
5/3
Step-by-step explanation:
take the 3 then add it again then you add 3 and get 5/3
how many solutions does the equation have
y=2x^2+3x-10=0
Answer:it has two
Step-by-step explanation: x =(3-√89)/4=-1.608
x =(3+√89)/4= 3.108
What is the sum of 300x200
Answer:
60,000
Step-by-step explanation:
Answer:
60000
Step-by-step explanation:
use a calculator
What is the period, phase shift, amplitude, and vertical shift of:
Y=1/2sin(theta/4-2pi/3)+2
Answer:
Period = 8π
Phase shift = 2π/3
Amplitude = 1/2
Vertical shift = 2
Step-by-step explanation:
y = A sin((2π/T)θ − B) + C
where A is the amplitude,
T is the period,
B is the phase shift,
and C is the vertical shift.
y = ½ sin(¼θ − 2π/3) + 2
So A = 1/2, T = 8π, B = 2π/3, and C = 2.
what is the answer for log 3 9 =
Answer:
The answer is 2
Step-by-step explanation:
log
3(
9)
3 to what power is equal to 9?
Since 3^2=
9,
log
3
(
9)=2
Hope this helps!
Please mark brainliest :)
About how many times larger is 6.14 x 10-3 than 1.98 x 10-4?
Answer:
About 3.7 times or 4 times.
Step-by-step explanation:
6.14 x 10 - 3 = 61.4-3
61.4 - 3 = 58.4
1.98 x 10 - 4 = 19.8 - 4
19.8 - 4 = 15.8
58.4 ÷ 15.8 = 3.696202531645569620253164556962 ≈ 3.7 times
I need help ASAP, would really appreciate it, marking first as brainliest.
iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii
Answer:
A and B
Step-by-step explanation:
The lines are both in slope intercept form:
y=Mx+b
Where m is the slope and b is the y intercept.
We have 2 lines:
y=1/3x+3
y=1/3x-2
1/3 is the coefficient of x, which means the slope is 1/3. Both of these lines have the same slope of 1/3. Since they both have the same slope, they are also parallel lines.
Therefore, A: the same slopes and B: parallel lines is correct.
In the photo, the red line is 1/3x+3 and the blue like is 1/3x-2
Find the solution set.
x2 + 16x + 64 = 0
Answer:
(x+8)(x+8)
Step-by-step explanation:
Assuming x2 is x^2
(x+8)(x+8) = x^2 + 16x + 64
Continuation
The Zeros Would Be
x = -8
Which expression can be used for the missing side length of the rectangle?
A rectangle with a width of 2x inches and a diagonal length of 8x inches is given. The length of the rectangle is marked as ? inches.
A. x√6
B. 2x
C. x√30
D. 2x√15
Answer: Length = 2x✓15
Step-by-step explanation:
A rectangle has a width of 2x inches and a diagonal length of 8x inches. We are told to find the length of the rectangle. The square of the diagonal is the addition of the square of the length and square of the width.
Adjacent² = length² + width²
(8x)² = length² + (2x²)
Length² = 64x² - 4x²
Length² = 60x²
Length = ✓60x²
Length = ✓4 × ✓15 × ✓x²
Length = 2 × ✓15 × x
Length = 2x✓15
In triangle ABC, c is the hypotenuse, 0=25 degrees, and b=3
Find the length of c
Answer:
c approximately equals 3.31
Step-by-step explanation:
If a population has a mean of 128 and samples of size 50 from this population have a standard deviation in their sample means of 3.8, then which of the following sample mean would not be within the margin of error when sampling from this population?
A) 119.7
B) 122.8
C) 134.9
D) 135.2
Chantel is running for a rally race she ran 2,000 feet every day for six days how many yards did Chanel run
Answer:
4,000 yards
Step-by-step explanation:
2,000 ft * 6 days = 12,000 feet ran in total
Conversion: 3 feet = 1 yard
12,000 ft = 4000 yards
Someone help me pleaseeeee
Answer:
36°.
Step-by-step explanation:
To find this, we will simply need to know that the sum of the angles of a triangle is 180°. This means that in order to find the measure of the third angle, we will need to subtract the others from 180°.
180 - 99 - 45 = 36°.
The measure of the third angle is 36°.
Simplify the expression
13 (9x)
13(9x)
13 * 9x = 117x
Answer:
[tex]117x[/tex]
Step-by-step explanation:
[tex]13(9x) \\ = 117x[/tex]
A standard deck of playing cards has 13 cards in each of four suits: hearts, clubs, diamonds, and spades. Two cards are chosen from the deck at random. What is the probability of choosing one club and one spade?
Answer:
Probability of choosing one club and one spade = 0.6025
Step-by-step explanation:
Total number of cards= 52 cards
For the first event
Probability of choosing a club
Toatal club = 13 cards
Probability of choosing a club
= 13/52
Probability of choosing a club
= 1/4
Probability of choosing a club
=0.25
For the second event
Probability of choosing a spade
Toatal spade = 13 cards
Probability of choosing a spade
= 13/52
Probability of choosing spadep
= 1/4
Probability of choosing a spade = 0.25
Probability of both = 0.25*0.25
Probability of both = 0.6025
Answer:
D. 0.1275
Step-by-step explanation:
Justo took the Pre-Test on Edg (2020-2021)!!
A bunch of Ashland families have been helping out by making 2 different types of masks. It costs the family $1.70 to buy the supplies to make a mask with elastics and $1.30 to buy the supplies to make a mask that ties. They are selling the masks with elastics for $5.60 and the masks that tie for $5.40. In April, the family spent $37.90 on materials for both types of masks. They sold the masks for a total of $147.20, which they will donate to the Ashland Emergency Fund. How many masks with elastics did they make & sell in April?
Answer:
They made and sold 7 masks with elastics in the month of April.
They made and sold 20 masks that tie in the month of April.
Step-by-step explanation:
Let the number of masks with elastic made and sold be x
And the number of masks that tie made and sold be y
Since the price of making one mask with elastic is $1.70
The total amount spent on making x masks with elastic = 1.7x
The price of making one mask that ties is $1.30
The total amount spent on making the masks that tie = 1.3y
Total cost price = 1.7x + 1.3y = 37.90 (eqn 1)
They are selling the masks with elastics for $5.60 and the masks that tie for $5.40.
Total revenue made from selling x masks with elastic = 5.6x
Total revenue made from selling y masks that tie = 5.4y
Total revenue = 5.6x + 5.4y = 147.20 (eqn 2)
Writing the two equations together
1.7x + 1.3y = 37.9
5.6x + 5.4y = 147.2
Solving the simultaneous equation
x = 7 and y = 20
Hence, they made and sold 7 masks with elastics and 20 masks that tie in the month of April.
Hope this Helps!!!
How to expand (x+3)( x-2), using the F.O.I.L method?
Answer:
x^2+x-6
Step-by-step explanation:
If you follow the picture in the respective order of FOIL you should get this answer.
Body Mass Index (BMI) is given by the formula BMI=705W/H2 , where W is the weight of a person in pounds, and H is their height, measured in inches. If a person is 6 feet 3 inches tall, and weighs 209 pounds, what is their BMI? Round your answer to the nearest tenth.
Answer:
BMI = 26.1
Step-by-step explanation:
The body mass index is given by the below formula as :
[tex]BMI=\dfrac{705\times W}{H^2}[/tex]
Here,
W is the weight of a person in pounds and H is height measured in inches.
If height of a person is 6 feet 3 inches, it means its height is 75 inches. Its weight is 209 pound.
So, plugging all values we get ,
[tex]BMI=\dfrac{705\times 209}{(75)^2}\\\\BMI=26.1[/tex]
So, the body mass index is 26.1.
Find the circumference of each circle.
Answer:The distance around a rectangle or a square is as you might remember called the perimeter. The distance around a circle on the other hand is called the circumference (c).
circle diameter radius
A line that is drawn straight through the midpoint of a circle and that has its end points on the circle border is called the diameter (d)
Half of the diameter, or the distance from the midpoint to the circle border, is called the radius of the circle (r).
The circumference of a circle is found using this formula: so the answer is B
Step-by-step explanation:
Can u pls awnser the following :(
Answer:
25% is .25
75% is .75
20% is .2
100% is 1
37.5% is .375
62.5% is .625
87.5% is .875
12.5% is .125
Step-by-step explanation:
Remember DeeP
D. __. ____ P
Decimal. Percent
You move over two decimal places to the left if you want to convert 35%, which is .35.
You move over two decimal places to the right if you want to convert .45 which is 45%.
hi help pleasee ????
Answer:
Your answer is going to Be b
Help me please help me thank you
Answer: 110, 35, 70, G, J, F, E, B, A, H, C, D, I
Step-by-step explanation:
8. For number 8, you will be using the exterior angle theorem. The exterior angle theorem states that the exterior angle equals the two angles inside the given triangle. Since we have 50 and 60, you will add 50 + 60 to get 110.
9. In this problem, you shall use the vertical angle theorem. The vertical angle theorem is simply that any angles vertical from one another are congruent. So a will be also 35 degrees.
10. This is an image depicting two lines cut by a transversal, creating multiple congruent angles. With this, you will be using the alternate interior angle theorem. Alternate interior angles are angles on different sides of the transversal but inside both of the lines that were cut into, as shown above. So, b will also equal 70 degrees.
Part B:
1. G
2. J
3. F
4. E
5. B
6. A
7. H
8. C
9. D
10. I
Which expression is equivalent to 64 − 9x2?
Answer:
it is just 64-18=48
Step-by-step explanation:
you have to just keep 64 the same and do the 9*2. And sum those outcomes.
Please, I don’t get this. You don’t need to do step by step
1.
Equation: (3×n)-7=2 (n is just the missing number)
Solution: n is 3 or just 3
2.
You bought 5 pairs of socks
Explanation:
96-76=20
20÷4=5 pairs of socks (Before tax)
3.
The number is 2
Explanation:
5×n=2(n+3)
5×2=2(2+3)
10=2(5)
10=10
Hope this helps!
