Please help 30 points A recursive definition of an arithmetic sequence is shown below.
a = 7
an = an-1 + 3
Which of the following expressions represents the nth term of this sequence?
A. Ont3
B.
3n + 4
C.O3n +7
D.O7n +3

Answers

Answer 1

Answer: S.76,20 hope this helps

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A square has a triangular hole in it. What is the area of the figure?A. 100 in²
B.92.5 in²
C. 85 in²
D. 70 in²

Answers

B. 10 x 10 = 100. 5 x 3 / 2 = 7.5. 100 - 7.5 = 92.5

Answer:

92.5in

Step-by-step explanation:

10 * 10 = 100

5 * 3 = 15

15/2 = 7.5

100 - 7.5 = 92.5in

List the perfect squares between 100 and 500 that are even numbers

Answers

$10^2=100 \n.................\n\ 11^2=121 \n 12^2=144 \n 13^2=169 \n 14^2=196 \n 15^2=225 \n 16^2=256 \n 17^2=289 \n 18^2=324 \n 19^2=361 \n 20^2=400 \n 21^2=441 \n 22^2=484 \n................\n23^2=529$

A rain gutter is to be constructed of aluminum sheets 12 inches wide. After marking off a length of 4 inches from each edge, this length is bent up at an angle θ. The area A of the opening may be expressed as the function: A(θ) = 16 sin θ ⋅ (cos θ + 1). If θ = 90°, what is the area of the opening?

Answers

We are already given with the function to solve for the area:
A(θ) = 16 sin θ ⋅ (cos θ + 1)

We simply have to substitute the value of the angle into the function. So,
If θ = 90°,
A(90°) = 16 sin (90°) ( cos (90°) + 1 )

Using the calculator or the definition of trigonometric functions at angle of 90°, we get the value of the area:
A(90°) = 16 square inches

we know that

The area A of the opening may be expressed as the function:

$A(\alpha) = 16 sin \alpha* (cos \alpha + 1)$

For $\alpha =90$ °

We simply have to substitute the value of the angle into the function

$A(90) = 16*sin 90* (cos 90 + 1)$

$A(90) = 16*(1)* (0 + 1)$

$A(90) = 16 in^(2)$

therefore

the answer is

the area of the opening is $16 in^(2)$

What is the height of a triangle if the base is 10 cm and the sides are 13 cm

Answers

if the sides (plural, meaning more than 1) and the base is 10

that means
2 sides=13 cm
base=10
since 2 sides equal legnths, isocolees
draw a line from the top angle, opposite the base side, perpendicular to the base
you will form 2 right triangles each with a base of 10/2=5 and a hypotonuse of 13 solve for other leg

a^2+b^2=c^2
c=hypotonuse=13
a=10=1 leg
b=mystery leg (height)

10^2+x^2=13^2
100+x^2=169
subtract 100 from both sides
x^2=69
take square root of both sides
x=√69

it would be safe to put √69 as the answe since it cannot be simplified into a whole number (about 8.3066238629181)

because the sides are the same it is an isosceles triangle, therefore the altitude forms two right triangles and also bisects the base

Apply the Pythagorean Theorem
5^2 + h^2= 13^2

25+h^2= 169
   h^2= 144
   h=12

FYI there are familiar combinations for right triangles, might be worthwhile to check them out, it will save a lot of time.

Some examples are 3,4,5 / 5,12. 13 / 9,40,41 etc

Hope this helps

PLEASE ANSWER ASAP QUESTION IN ATTACHED FILE

Answers

1. Multiply 12 and 14 to get the entire area = 168.
2. Multiply 7 and 4 to get the missing area = 28.
3. Subtract 28 from 168 = 140cm²

Alright, this figure may initially look challenging, but it can be broken down into much smaller, easier to digest, segments (Reference attached picture). First of all, the area formula of a rectangle/square is A = b*h. Let's break the figure into three separate shapes. The left hand rectangle is 5cm by 12cm. The middle rectangle is 5cm by 4cm. The right hand rectangle is also 5cm by 12cm. 5*12 = 60, 5*12 = 60, 5*4 = 20. 60cm^2 + 60cm^2 + 20cm^2 = 140cm^2 is the total area. Break shapes into pieces to make them easier C:

In basketball, Shaquille makes 40% of his free throw attempts. He goes to the free throw line to shoot one-and-one (if he makes the first shot, he gets to shoot one more). He scores 1 point per free throw. What is the expected value of the number of points he will score?

Answers

This question is a little bit tricky. Anyway, the best answer to the question would be 2 points. The expected value of the number of points he will score would be two points in every successful free throw attempt he makes. It just has a probability of .40 - which means that ,say, in 10 free throw shots, there's a tendency he will only make 4 of them.

Answer:

4 he makes 4 shots.

Step-by-step explanation:

if there are 40% and his shots equal 1 the answer is 4.

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Determine the sign of the product -2/9×1/7 enter + for positive or - or negative