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2 years ago

Please answer the following mcqs with proper explanation

Mathematics

1 answer:

saveliy_v [14]2 years ago

4 0

Answer:

(iv) b

(v) c

(vi) d

Step-by-step explanation:

The first two questions have to with understanding the meaning of the English words. (It's reading comprehension.)

(iv) "no larger than 10" means "less than or equal to 10"

(b) x ≤ 10

(v) "at most 1600" means "less than or equal to 1600"

(c) c ≤ 1600

(vi) A value of x will be a solution to the inequality if substituting it into the inequality results in a true statement. Here, using x=0 effectively eliminates the x-term from the inequality.

(a) 0 > 0 . . . false

(b) 5 < 0 . . . false

(d) -2 < 0 . . . true

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zimovet [89]

The answer is 2√2

√18 - √2
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3 years ago

Read 2 more answers

My mom was at the store with a 15% off coupon. She spent $25.00 with 7% sales tax. How much is the total?

aleksandrvk [35]

Answer:

The answer is $22.74

Step-by-step explanation:

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3 years ago

(I’ll give Give Brainliest)

jok3333 [9.3K]

Answer:

Step-by-step explanation:

C is only right answer among a to d

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3 years ago

Determine the area of a triangle with A=27.8 B = 107.3 c=4<br><br><br> Answer: B) 10 units^2

Mila [183]

Correct question:

Determine the area of a triangle with A=27.8° B = 107.3° c=4

Answer:

Area of the triangle is 5.04 units²

Step-by-step explanation:

Given;

A = 27.8°

B = 107.3°

C = 180 - (27.8 + 107.3) = 44.9°

c = 4

Now, we determine the remaining two sides of the triangle using sine rule

$\frac{Sine \ A}{a} = \frac{Sine \ C}{c} \\\\a = \frac{Sine A*\ c}{Sine C} = \frac{Sine(27.8) \ *4}{Sine(44.9) } =2.64\\\\\frac{Sine \ B}{b} = \frac{Sine \ C}{c}\\\\b= \frac{Sine B*\ c}{Sine C} = \frac{Sine(107.3) \ *4}{Sine(44.9) } =5.41$

Apply Hero's formula;

$A = \sqrt{s(s-a)(s-b)(s-c)} \\\\s = \frac{a+b+c}{2} = \frac{2.64\ +\ 5.41\ +\ 4}{2} = 6.025\\\\A = \sqrt{6.025(6.025-2.64)(6.025-5.41)(6.025-4)} \\\\A = \sqrt{6.025(3.385)(0.615)(2.025)} \\\\A = \sqrt{25.3989} = 5.04 \ units^2$

Therefore, area of the triangle is 5.04 units²

5 0

3 years ago

given three points of a quadratic function find the equation that defines the function (-2,20)(0,-2)(1,-4) hurry please!!

kotykmax [81]

Answer:

D: y = 3x² - 5x - 2

Step-by-step explanation:

The general form of a quadratic equation is: y = ax² + bx + c

c is the y-intercept

We are given the point (0, -2) which is the y-intercept, so we can rewrite our general form into

y = ax² + bx - 2

We can create a system of equations to solve for a and b. We are given two points.

Equation 1: Take the first point (-2, 20) and plug it into our general equation...

20 = a(-2)² + b(-2) - 2

20 = 4a - 2b - 2

22 = 4a - 2b (add 2 to both sides)

11 = 2a - b (divide both sides by 2 since every coefficient is even)

Equation 2: Take the point (1, -4) and plug it into the general equation

-4 = a(1)² + b(1) - 2

-4 = a + b - 2

-2 = a + b

Now we have our 2 equations:

11 = 2a - b

-2 = a + b

Since the coefficients of b are already have opposite signs, add the two equations together (elimination method)

Now we have

9 = 3a now solve for a...

3 = a (divide by 3 on both sides)

If a = 3, then

-2 = 3 + b

-5 = b

Our equation is

y = 3x² - 5x - 2

6 0

3 years ago

Please answer the following mcqs with proper explanation​

Please answer the following mcqs with proper explanation