MATHEMATICS COLLEGE

What is the area of this figure? Please help

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

The square has 4 sides with length 4

The right triangle has the right side equal to 4yd + 4yd(from the square) = 8yd

Using the Pythagorean Theorem, we find that the left side of the triangle has length = 10yd

The area of the whole thing is the area of the square + the area of the triangle

The formula for the area of a square with sides l is $A_s = l^2$

The area of the triangle is trickier, but you can imagine tracing a line in the left side and the upper side to form a rectangle, and the area of that is A = $l * L$ , the area of the triangle will be half the area of the rectangle so it'll be $A = (6 * 8)/(2) = 24 (yd)^(2)$

The total area will be;

Area of the square + Area of the triangle = $16 + 24 = 40 yd^(2)$

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If 50% of a number is 80 and 35% of the same number is 56, find 85% of that number.

What value of b will cause the system to have an infinite number of solutions? V = 6x + b
-3 x + 1/2 V = -3

Answers

Answer:

-6

Step-by-step explanation:

V = 6x + b

1/2 V -3 x = -3

V - 6x = -6

V - 6x = b

If a elevator traveled 10 floors in 5 seconds , how many floors did it travel in 1 second ?

Answers

Answer:

Step-by-step explanation:

it's division 10/5 is 2 which means in one second it travels 2 floors

answer: 2

5/5 = 1
10/5 = 2

2 floors/second

Find all missing angles in the diagrams below, please help

Answers

Answer:

x= 80°, y= 100°

Step-by-step explanation:

Please see the attached picture for the full solution.

Answer:

x = 80,

y = 80

Step-by-step explanation:

This is difficult to explain, so here are the theorems used

two lines parallel, with a transversal; alternate interior angles,

verticle angles theorem,

parts - whole postulate,

verticle angles theorem,

parts- whole postulate,

sum angles in a triangle,

supplementary angle, definition straight angle,

parts- whole postulate,

there are many other ways to reach the answer, I just whent this way.

Linda enrolls for 10 credit hours for each two semsters at a cost of $600 per credit hour. in addition textbooks $400 per semster.

Answers

Answer:

$6800

Step-by-step explanation:

1. Assuming your question was how much is her cost the total cost should amount to $6800.

2. First you should multiply 10 by 600 to find out the cost for the credit hours

3. Next you take the cost of textbooks into factor, with each being 400 a semester you add them together to get $800

4. You add both costs together and get the final price of $6800 for both semesters of her education.

Final answer:

Linda's total cost for college for this academic year is calculated as $12,800, encompassing both tuition and textbooks. This is part of an observed trend in increasing higher education costs.

Explanation:

Cost of Tuition: Linda is paying $600 per credit hour for 20 credit hours (10 each semester), so $600 * 20 = $12,000 in total for tuition.

Cost of Textbooks: She is also spending $400 per semester for textbooks, so $400 * 2 = $800 in total for textbooks.

Total Cost: Thus, Linda's total cost for the academic year would be the sum of these two costs, i.e, $12,000 + $800 = $12,800. The costs of tuition, textbooks and other expenses are part of the rising trend of higher education costs. Despite this, the value of education still remains high, as it can lead to better job prospects and higher earning potential in the future.

Learn more about College Costs here:

brainly.com/question/20629475

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Find 10th term of a geometric sequence whose first two terms are 2 and -8. Please answer!!

Answers

Answer:

The 10th term is -524,288

Step-by-step explanation:

The general format of a geometric sequence is:

$a_(n) = r*a_(n-1)$

In which r is the common ratio and $a_(n+1)$ is the previous term.

We can also use the following equation:

$a_(n) = a_(1)*r^(n-1)$

In which $a_(1)$ is the first term.

The common ratio of a geometric sequence is the division of the term $a_(n+1)$ by the term $a_(n)$

In this question:

$a_(1) = 2, a_(2) = -8, r = (-8)/(2) = -4$

10th term:

$a_(10) = 2*(-4)^(10-1) = -524288$

The 10th term is -524,288

Nevaeh took out a 20-year loan for $155,000 at 3.6% interest, compounded monthly. If her monthly payment on the loan is $906.93, how much of her first payment went toward note reduction?A. $441.93

B. $465.00

C. $906.93

D. $326.49