Answer:
Percent Increase in measure of the side of a square = 30%
Step-by-step explanation:
Let the measure of the side of a square = s
Area of the square = (Side)²
= s²
If the area of the square is increased by 69%
Area of the new square = s² + 69% of s²
= s² + 0.69s²
= 1.69s²
Therefore, measure of the side of the new square = √(Area of the square)
= √(1.69s²)
= 1.3s
Measure of side of the old square = s
Therefore, increase in measure of the square = 1.3s - s
= 0.3s
Percent increase in the measure of the side of the square
= [tex]\frac{\text{Increase in measure}}{\text{Measure of the side of the original square}}\times 100[/tex]
= [tex]\frac{0.3s}{s}\times 100[/tex]
= 30%
Find the value of X.
Can y’all solve this please
What is the 100th term in the sequence 11, 22, 33, 44, 55 …?
Its an arithmetic sequence. Here is the formula and process.
An= A1 + (n-1) d
An = the nth term in the sequence
A1 = 1st term
n = number of terms
d = common difference
An = A1 + (n-1) d
= 11 + (100-1) 11
= 11 + (99) 11
= 11 + 1,089
= 1,100
sana makatulongg study hard
The required 100th term in the sequence is given as 1100.
What is the 100th term in the sequences 11, 22, 33, 44, 55 … is to determine.
Arithmetic progression is the series of numbers that have common differences between preceding values.
Given sequence
11, 22, 33, 44, 55 …
Where first term ( a ) = 11 ;
common difference ( d ) = 11 - 22
= 11
The formula for the nth term of an Arithmetic progression is
a(nth) = a + ( n - 1 ) d
a (100th) = 11 + (100 - 1 )11
a (100th) = 11+ (99)11
= 11 + 1089
= 1100
The 100th term in an arithmetic sequence is 1100.
Thus, The required 100th term in the sequence is given as 1100.
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y= 3x - 1
What is the rate of change
Answer:
-3/1
Step-by-step explanation:
What is the equation in slope-intercept form of the line that passes through the point (2,-2) and is perpendicular to the line represented
2
y =
5*
X + 2?
ОА
5
y = -x-3
B
5
y=-x +3
2
с
5
Y=2*+7
D
5
y = x-7
Nor
Answer:
B only if
Step-by-step explanation:
If b is 5y=-2x+3
Then its b
Because the slope to be perpendicular it would be -2/5
Independent Practice
Are whole numbers, integers, or rational numbers the most reasonable for the situation?
a temperature in a news report
A.
integers
B.
whole numbers
C.
rational numbers
Answer:
I believe it is rational depending on the question of course
Answer: C. Rational Numbers
Step-by-step explanation:
Gradpoint.
The model represents 3 ÷ 1/5
Which multiplication can you use to check the answer?
Three squares are shown. Each square is divided into 5 fifths.
A. 3 x 1/5= 3/5
B. 15 x 1/5 = 3
C. 15 x 3/5 = 9
D. 15 x 5/3 =25
Answer:
the answer is 2
Step-by-step explanation:
The equation which represent the three squares which is divided into the 5 fifths is,
[tex]15 \times \dfrac{1}{5} = 3[/tex]
What is a multiple of fraction?A fraction number is the number which is a part of a whole number. It is written with a numerator and denominator. Fraction number are written as,
[tex]\dfrac{a}{b}[/tex]
Here (a) is the numerator and (b) is the denominator.
A multiple of a fraction is the number which is n times of the original function.
The model represents,
[tex]3 \div 1/5[/tex]
Here, the total number of square are given is 3. These three square are then divided into the one fifth.
Thus, we get total 3 times of 5 one fifth which is equal to the entire 3 squares
.
Thus, the equation can be written for this condition as,
[tex]15 \times \dfrac{1}{5} = 3[/tex]
Hence, the equation which represent the three squares which is divided into the 5 fifths is,
[tex]15 \times \dfrac{1}{5} = 3[/tex]
Option B is the correct option.
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The graph shows the relationship between the distance in miles and the time in minutes Scott ran during a race .
Answer:
Step-by-step explanation:
Scott ran 1 mile in 8 minutes
The slope of the line is 8 which means Scott ran 8 miles in 1-minute option (B) is correct.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
The graph of a line is shown in the picture
As we can see in the graph the line passes from the origin.
Two points are (40,5) and (0,0) on the line.
Using slope formula:
m = (y2-y2)/(x2-x1)
Slope of line = (40 miles)/(5 minutes) = 8 Mikes per minute
Thus, the slope of the line is 8 which means Scott ran 8 miles in 1-minute option (B) is correct.
The complete question is mentioned in the picture.
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Evaluate f(a+4)
pls help me w this !
What is the point-slope of y+5=-7/4(x-4)
Slope: -7/4
Point/y-intercept: (0,2)
Juanita drove 205.1 miles in 3.5 hours. What was Juanita's average speed in miles per hour?
Answer:
58.6 miles per hour
Step-by-step explanation:
205.1 miles /3.5 hours= 58.6 mph
A girl is on the beach and the angle of elevation from her feet to the top of a lighthouse is 62' If the lighthouse is 30ft tall, how far away is the girl from the lighthouse? Please show
your work!
I need help plssss
Answer:
15.95 feets
Step-by-step explanation:
Given that:
Angle of elevation = 62°
Using trigonometric relation :
Tanθ = opposite / Adjacent
From the drawing attached :
Opposite = 30 feets
Distance between girl and lighthouse = d
Tan 62 = 30 / d
1.8807264 * d = 30
d = 30 / 1.8807264
d = 15.951283
d = 15.95 feets
a. Find the length of the midsegment of an equilateral triangle with side lengths of 12.5 cm.
b. Given that UT is the perpendicular bisector of line segment AB, where T is on AB, find the length of AT given AT = 3x + 6 and TB = 42 - x.
c. Given angle EFG has angle bisector FH, where EF = GF, find the value of y if EH = 5y + 10 and HG = 28 - y.
Answer:
a.the length of midsegment of an equilateral triangle with side lengths of 12.5 cm.=12.5/2=6.25cm
b.
sinceUT is the perpendicular bisector of line segment AB, where T is on AB, find the length of AT given AT = 3x + 6 and TB = 42 - x.
than AT=BT
3x+6=42-x
3x+x=42-6
x=36/4=9
AT=3×9+6=27+6=33
c.
since angle EFG has angle bisector FH, where EF = GF, find the value of y if EH = 5y + 10 and HG = 28 - y.
EH=GH
5y+10=28-y
6y=28-10
y=18/6=3
a. The length of the midsegment of an equilateral triangle is 6.25 cm
b. The length of AT is 33 units.
c. The value of y is 3.
What is an equilateral triangle?
"It is a triangle whose all sides are equal in length and all angles measure 60° "
What is perpendicular bisector?"It is a line that intersects another line perpendicularly and divides it into wo equal parts."
What is angle bisector?"It is a line that splits an angle into two equal angle."
What is an isosceles triangle?"It is a triangle that has two sides of equal length."
What is midsegment of the triangle?"It is the line segment connecting the midpoints of the two sides of a triangle."
What is midsegment formula?"midsegment = 0.5 × base of triangle"
a.
We have been given an equilateral triangle with side lengths of 12.5 cm.
We need to find the length of the midsegment of an equilateral triangle.
Using midsegment formula,
⇒ midsegment = 0.5 × 12.5
⇒ midsegment = 6.25 cm
Therefore, the length of the midsegment of an equilateral triangle is 6.25 cm
b.
UT is the perpendicular bisector of line segment AB, where T is on AB
We know that the perpendicular bisector divides the line segment into two equal parts.
⇒ AT = TB
⇒ 3x + 6 = 42 - x
⇒ 3x + x = 42 - 6
⇒ 4x = 36
⇒ x = 9
So, the length of AT would be,
⇒ AT = 3x + 6
⇒ AT = 3(9) + 6
⇒ AT = 33 units
Therefore, the length of AT is 33 units.
c.
An angle EFG has angle bisector FH, where EF = GF
From given data, we can say that for it must an isosceles triangle EFG with EF = GF and base is EG.
An angle EFG has angle bisector FH and point H is on the side EG.
We know that the angle bisector of isosceles triangle is also the perpendicular bisector of the base of an isosceles triangle.
⇒ EH = HG
⇒ 5y + 10 = 28 - y
⇒ 5y + y = 28 - 10
⇒ 6y = 18
⇒ y = 3
Therefore, the value of y is 3.
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Please help meeeeeee!!!!! ill give BRAINLIEST
Answer:
Step-by-step explanation:
The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined. y=6 is a straight line perpendicular to the y-axis at point (0,6) , which means that the range is a set of one value {6} .
Which of the following is equivalent to? 19
Dairy Queen Restaurant charges $4.00 for a Mini-Blizzard (a type of ice cream treat) and $0.50 per additional candy topping that the customer wishes to mix-in. You determine that a linear model is a good way to represent this information. A. What is the rate of change (slope, m, with units): __A___ ____ B. What is the y-intercept: __B___ ____ C. Create a linear model in y = mx + b form for this situation:
Answer:
Slope = $4.00
y - intercept = $0.50
y = 4x + 0.5
Step-by-step explanation:
Given :
Cost of Mini blizzard = $4.00
Cost of optional or additional topping = $0.50
A linear model is in the form:
y = mx + b
For this scenario
y = total cost of order
m = slope Coefficient = cost of mini blizzard
x = number of mini blizzards ordered
c = additional cost, cost of candy topping
Hence, rate of change, slope, m = cost of mini blizzard = $4.00
The y - intercept = cost of candy topping = $0.50
Can someone Please help me show my work for this its due in 5 minutes!! I'll give you brainlest!!!! IT HAS TO DUE WITH LINEAR EQUATIONS.
Answer:
b 80 more tickets
Step-by-step explanation:
5,000-1,000=4,000
4,000÷50=80
hope this helps
Can someone pls solve this? Pls write your final answer as an ordered pair.
Answer:
x = 2 and y = 8
Step-by-step explanation:
A company hauls its 1 cubic foot boxes in the truck as shown.
How many boxes can this truck carry?
Answer:
96
Step-by-step explanation:
3*4*8=96
Answer:
96
Step-by-step explanation:
An apple has a mass of 32.06 grams. What is the mass of the apple rounded to the nearest tenth of a gram?
32.1
Hope this helps! Have a nice life!Jim works as a manager at Food Lion. He earns $600.00 a week in salary. If Jim has three paid vacation weeks a year… what is Jim’s gross salary a year?
Answer:
Step-by-step explanation:
Jim' s salary will be
600*52=31,200
his vacation is paid, so it doesn't matter how many weeks he has off.
Answer:
$31,200.00 gross pay
Step-by-step explanation:
$600.00 he makes every week times the 52 weeks of the year since he gets paid vacation weeks.
52 weeks x $600.00 = $31,200.00 in gross pay
how would u turn 11/25 into a decimal?
Answer:
you divide 11 by 25 and then round to the nearest hundredth
Step-by-step explanation:
11÷25= 0.44
In triangle ABC, the measure of angle CAB is 80° and the measure of angle ABC is 45.5°. What is the measure of angle BCA in degrees? A 125.5°125.5 degrees B 54.5°54.5 degrees C 55.5°55.5 degrees D 64.5°
Answer:
B 54.5°
Step-by-step explanation:
Since we have a triangle,
CAB + ABC + BCA = 180 (sum of angles in a triangle)
Since CAB = 80° and ABC = 45.5°, substituting these into the equation, we have
80° + 45.5° + BCA = 180°
simplifying, we have
125.5° + BCA = 180°
collecting like terms, we have
BCA = 180° - 125.5°
BCA = 54.5°
So, the answer is B
The length of a rectangle is twice its breadth. The area of the rectangle is 450cm2 what is the length and breadth? (Please explain in a simple way)
Answer: 30, 15 cm
Step-by-step explanation:
Given
The length of the rectangle is twice its breadth
The area of the rectangle is [tex]450\ cm^2[/tex]
Suppose the breadth is x
So, the length is 2x
The area can be written as
[tex]\Rightarrow 2x\times x=450\\\\\Rightarrow x^2=225\\\\\Rightarrow x=15\ cm[/tex]
breadth is 15 cm, length is 30 cm
Find the circumference of the circle with a radius of 7
Answer:
43.96
Step-by-step explanation:
The radius is 7 inches. This'll mean the diameter is 14, and the circumference of a circle is pi * diameter. This'd be 3.14 * 14 = 43.96 inches :)
WILL GIVE BRAINLIEST
Answer:
he right
Step-by-step explanation:
How to convert 6/8 divided 1/2 into mixed numbers
Answer:
1 1/2
Step-by-step explanation:
Hope this helps!
Which is an example of a statistical question?
Questions
Question 1 How many pets does Alisha have at home?
Question 2 What is your favorite kind of pet?
Question 3 Do you like having a pet?
Question 4 What is Alisha’s pet’s name?
question 1
question 2
question 3
question 4
Answer: question 1
Step-by-step explanation:
You have 2 keep in mind what a statistical question is. A statistical question is a question that can be answered by collecting data. Only question 1 can be answered by collecting data on how many cats Alisha has.
Hope this helps :)
Help please I have like 20 minutes to complete this
Answer: b
Step-by-step explanation:
good luck... ur profile pick is hot
In ΔTUV, the measure of ∠V=90°, TU = 5.4 feet, and VT = 1.6 feet. Find the measure of ∠T to the nearest degree.
Answer:
<T = 73
Step-by-step explanation:
just did the assignment on Delta Math
Answer:
73
Step-by-step explanation: