Can a triangle be formed by 7.4 cm , 8.1 cm , 9.8 cm

Answers

Answer 1

Answer: No all sides are equal

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What is the average of the first 99 counting numbers?

Answers

divide 100/2. that will give you the average, 50

Listed in the table is the percentage of students who chose each kind of juice at lunchtime. use the table to determine the measure of the central angle you would draw to represent orange juice in a circle graphHELPPL PLEASE

Answers

Answer: 108°

Step-by-step explanation:

Since, by the given table,

The percentage of the students who choose orange juice = 30 %

Thus the fraction that choose orange juice = $(30)/(100)=(3)/(10)$

Hence, out of total students 3/10 part of students choose orange juice.

Now for finding the central angle,

$\text{ The central angle of 1 part of total students} = 360^(\circ)$

⇒ $\text{ The central angle of }(3)/(10) \text{ part of student}=(3)/(10)* 360^(\circ)$

⇒ $\text{ The central angle of }(3)/(10) \text{ part of student}=(1080)/(10)$

⇒ $\text{ The central angle of }(3)/(10) \text{ part of student}=108^(\circ)$

That is, the central angle of the students who choose orange juice is 108°

Hence, Fourth option is correct.

What are the coordinates of the y-intercept in the equation Y=X -1? (,)

Answers

Answer:

The y-intercept is (0,-1).

Step-by-step explanation:

The graph moved down -1 because of the -1 in the equation.

If the complex number x = 3 + bi and |x|^2 = 13, which is a possible value of b? A. 2
B. 3
C. 9
D. 10

20 points to the brainliest user!!!!

Answers

If x=3+bi, then

$|x|=√(3^2+b^2).$

You know that $|x|^2=13,$ then

$\left(√(3^2+b^2)\right)^2=13,\n \n 9+b^2=13,\n \nb^2=4,\n \nb=\pm 2.$

Two possible complex numbers satisfy these conditions:

$x_1=3+2i, \ x_2=3-2i.$

As you can see the possible value of b is 2.

Answer: correct choice is A.

The area of a rectangle is 66 ft2, and the length of the rectangle is 1 ft more than twice the width. Find the dimensions of the rectangle.

Answers

The length and width of the rectangle is 12 feet and 5.5 feet respectively given that the area of a rectangle is 66 feet², and the length of the rectangle is 1 feet more than twice the width. This can be obtained by finding algebraic expression for length by assuming width to be b and solving the quadratic equation formed after substituting it in the formula of area of rectangle.

What is the formula of area of a rectangle?

Area of a rectangle,

A= l × b, where A is the area, l is the length and b is the width.

Find algebraic expression for length:

Let us assume that width of the rectangle is b.

Given that, length of the rectangle is 1 feet more than twice the width

⇒ l = 2b+1 is the required expression.

Calculate the length and width:

Given that A= 66 feet²

In the formula, A= l × b we can substitute the expression for length.

66=(2b+1)b

2b²+b=66

⇒ 2b²+b-66=0

The quadratic equation can be solved using splitting the middle term,

2b²+12b-11b-66=0

2b(b+6)-11(b+6)=0

(2b-11)(b+6)=0

b=11/2 or b= - 6

Taking positive value of b, b=11/2⇒b=5.5 feet

Substitute for length, l = 2b+1 = 2(11/2)+1=11+1 =12 ⇒l = 12 feet

Hence the length and width of the rectangle is 12 feet and 5.5 feet respectively given that the area of a rectangle is 66 feet², and the length of the rectangle is 1 feet more than twice the width.

Learn more about solving quadratic equation here:

brainly.com/question/2004756

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this is probably way overcomplicated but i cant remember how to do it
w = n
l = 2n+1
w*l = 66
n(2n+1) = 66
2n^2 + n =66
2n^2 + n - 66 = 0
using quadratic equation

n = 11/2

width = 11/2 = 5.5
length = 11 + 1 = 12

What is the rate of change of the function?