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2 years ago

Please help me, will mark brainliest for correct answers.....

Mathematics

1 answer:

Alexandra [31]2 years ago

8 0

Answer:

1. B) 5.7

2. A) 12

3. A) 11.4

4. A) 5.7

5. A) 16.2

6. A) 11.2

7. No, they do not form a right triangle

8. Yes, they do form a right triangle

Step-by-step explanation:

Extra tip: The hypotenuse has to be less than both sides added together, but cannot be more than either of the sides alone.

16² + b² = 17²

256 + b² = 289

256 - 256 + b² = 289 - 256

b² = 33

√b² = √33

b = 5.74 or 5.7

16² + b² = 20²

256 + b² = 400

256 - 256 + b² = 400 - 256

b² = 144

√b² = √144

b = 12

7² + 9² = c²

49 + 81 = c²

130 = c²

√130 = √c²

11.40 or 11.4 = c

7² + b² = 9²

49 + b² = 81

49 - 49 + b² = 81 - 49

b² = 32

√b² = √32

b = 5.65 or 5.7

a² + 5² = 17²

a² + 25 = 289

a² + 25 - 25 = 289 - 25

a² = 264

√a² = √264

a = 16.24 or 16.2

10² + b² = 15²

100 + b² = 225

100 - 100 + b² = 225 - 100

b² = 125

√b² = √125

b = 11.18 or 11.2

15² + 8² = 16²

225 + 64 = 256

289 ≠ 256

5² + 12² = 13²

25 + 144 = 169

169 = 169

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I walk each day to school. By what percentage would I need to increase my usual average speed in order for the journey to take 2

lesya692 [45]

Answer:

25%

Step-by-step explanation:

Let v, t be the current average speed and the time taken to reach the school respectively.

As distance = speed x time, so,

distance, d=vt...(i)

Let V be the new average speed in order to to take 20% less time than t.

So, time taken with speed V = t-20% of t = t- 0.2t= 0.8t

As distance is constant, so

d= V(0.8t)= 0.8Vt

hBy using equation (i), we have

0.8Vt = vt

0.8 V = v

V= v/0.8=1.25v

Therefore, the percentage increase in the average speed = $\frac{V-v}{v}\times 100$

$=\frac{1.25v-v}{v}\times 100$

=25%

Hence, the percentage increase in the average speed is 25%.

8 0

2 years ago

If f(x) = x2 + 3x - 4, find f(4).

Nat2105 [25]

Answer:

f(4) = 24

Step-by-step explanation:

Plug in 4 for x in the equation:

f(x) = x² + 3x - 4

f(4) = (4)² + 3(4) - 4

Remember to follow PEMDAS. PEMDAS =

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

and is the order of operation.

First, solve the power:

(4)² = 4 * 4 = 16

Next, multiply 3 with 4:

3 * 4 = 12

Next, combine the terms:

f(4) = 16 + 12 - 4

f(4) = (16 + 12) - 4

f(4) = 28 - 4

f(4) = 24

f(4) = 24 is your answer.

8 0

2 years ago

Read 2 more answers

PLEEASE HELP TIMED!!!!

elixir [45]

Question 1: Option B: $y=\frac{1}{3}x -2$

Question 2: Option D: $y+1=3 (x+1)$

Solution:

Question 1:

The point on the given line are (2, 4) and (4, –2).

Slope of the given line:

$$m=\frac{y_2-y_1}{x_2-x_1}$

$$m=\frac{-2-4}{4-2}$

m = –3.

Slope of perpendicular line = –1 ÷ Slope of the given line

Slope of perpendicular line = $\frac{1}{3}$

Perpendicular line passing through the point (3, 1).

Slope -intercept form using point slope formula,

$y-y_1=m(x-x_1)$

$y-1=\frac{1}{3} (x-3)$

$y-1=\frac{1}{3} x-1$

$y=\frac{1}{3}x -2$

Option B is the correct answer.

Question 2:

The point on the given line are (0, –3) and (2, 3).

Slope of the given line:

$$m=\frac{3+3}{2-0}$

$$m=\frac{6}{2}$

m = 3.

Slope of parallel lines are equal.

Slope of parallel line =3

parallel lines passing through the point (–1, –1).

Point slope formula:

$y-y_1=m(x-x_1)$

$y+1=3 (x+1)$

Option D is the correct answer.

6 0

2 years ago

Read 2 more answers

Can someone please help me with this?!

Licemer1 [7]

Answer:

X/24 = 30/36

X = (30 X 24)/36

X = 5 X 4

X = 20

3 0

2 years ago

A customers total is $24.00 and a customer hands you a 10% coupon for their purchase. What will be the total cost after the coup

Furkat [3]

For 10% coupon, 10% of the original price is decreased, therefore we can multiply the price by (1-10%)=90% to find the total cost:

24×90%
= 24×0.9
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Therefore the answer is $21.9.

Hope it helps!

5 0

2 years ago