Find the area of a triangle with base of 10 inches and altitude to the base of 16 inches. 80 in² 135 in² 160 in²

Answers

Answer 1
Answer:

Answer:

Option 1st is correct

area of a triangle is, 80 in²

Step-by-step explanation:

Area of triangle(A) is given by:

A = (1)/(2) b \cdot h

where,

b is the base

h is the height or altitude of the triangle respectively.

As per the statement:

Base of a triangle(b) = 10 inches and

Height = altitude(h) = 16 inches

Substitute these in [1] we get:

A = (1)/(2)(10) \cdot 16

A = 5 \cdot 16 = 80in²

Therefore, the area of a triangle is, 80 in²

Answer 2
Answer: 10 × 16 = 160
160 / 2 = 80

Your answer would be 80in²

Hope that helps!

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1. What could happen to the reproductive process of mosses during a drought?A)Mitosis in the sporophyte would cease and the reproductive cycle would stop.
B)Meiosis in the sporophyte would cease and the reproductive cycle would stop.
C)The flagellated sperm would not be able to swim to the eggs for fertilization.
D) The flagellated sperm and eggs would go dormant until water was available.

2. Which of the following is true of conifers?
A)The sporophytes grow directly from the gametophyte B)The gametophytes grow directly from the sporophyte C) The spores release from the male cones D)The spores release from the gametophyte

Answers

For the first question, the answer would be B, that the meiosis in the sporophyte would cease and the reproductive cycle would stop in a drought. This is because many die off in a drought so reproducing is not as common.
Secondly, the next answer would be D, that the spores release from the gametophyte. This is because only females reproduce in these cases.

Justin and Austin decide to play catch after school. They start at the same point.Justin walks 40 feet north and 10 feet west. Austin walks 30 feet south and 20 feet east. How far apart are
they? (Round to the nearest tenth).
A) 76.2 ft
B) 14.1 ft
C) 70.7 ft
D) 31.6 f

Answers

i think it’s A


a^^^^

FOR 10 POINTS
Which of the following arithmetic sequences have a common difference of 2 1/2

Answers

Answer: -4,-1.5,1,3.5,6,8.5

Step-by-step explanation: You can check that the difference of any of its consecutive terms is always equal to 2.5.

8.5 - 6 = 2.5

-1.5 - (- 4) = 2.5

3.5 - 1 = 2.5

Solve the inequality. Show your work.
|4r + 8| ≥ 32

Answers

|4r + 8| ≥ 32

4r + 8 ≥ 32         or         4r + 8 ≤ -32       inside of absolute value could be + or -

4r       ≥ 24         or          4r       ≤ -40       subtracted 8 from both sides  

r       ≥  6           or            r       ≤ -10         divided both sides by 4

Graph: ←---------------- -10        6 ------------------

Interval Notation: (-∞, -10] U [6, ∞)

Okay here are the steps to solving this inequality:

First- Break down the problem into these 2 equations

               4r + 8 ≥ 32    →    - (4r + 8) ≥ 32


Second- Solve the 1st equation: 4r + 8 ≥ 32

                    r ≥ 6


Third- Solve the 2nd equation: - (4r + 8) ≥ 32

                    r ≤ -10


Lastly- Collect all solutions

          r ≥ 6   and   r ≤ -10

       

                         

                         

Okay here are the steps to solving this inequality:

First- Break down the problem into these 2 equations

               4r + 8 ≥ 32    →    - (4r + 8) ≥ 32


Second- Solve the 1st equation: 4r + 8 ≥ 32

                    r ≥ 6


Third- Solve the 2nd equation: - (4r + 8) ≥ 32

                    r ≤ -10


Lastly- Collect all solutions

          r ≥ 6   and   r ≤ -10

       

                         

                         

Which polynomial is written in descending order? (2 points) Select one: a. 9 − 3x + 4x2 b. −3x + 9 + 4x2 c. 4x2 − 3x + 9 d. 4x2 + 9 − 3x

Answers

Answer:

Option C. (4x² -3x + 9)

Step-by-step explanation:

Arranging a polynomial in descending order means to arrange the powers of variables of each term in the descending order.

So in the given options only Option C. is in the descending order.

4x² - 3x + 9

This polynomial has the variable x² with maximum degree of 2 at the starting.

Then second variable 3x with degree of 1 and then constant term 9.

Option C. is the correct option.

C.) 4x^2 - 3x + 9 is written in descending order.
 


84-63i in conjugate form?.

Answers

Conjugate form of complex number:
z = a + b i   is  a - b i
and for : z = a - b i is : a + b i
Conjugate form of 84 - 63 i is :  84 + 63 i