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2 years ago

Estimate the product of 67 x 23 by rounding to the nearest ten.

Mathematics

1 answer:

elena-14-01-66 [18.8K]2 years ago

5 0

Answer:

1400

Step-by-step explanation:

67 rounds to 70 because 7 is bigger than 5 so it rounds up. 23 rounds down since 3 is smaller than 5.

So, 70x20=1400

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Suppose we have a right triangle with legs of length a and b and hypotenuse of length c. Suppose b=3 and c=5. Then a= , For the

ANTONII [103]

Answer:

Length of right-angle triangle 'a' = 4

$sin(A) = \frac{opposite side}{Hypotenuse} = \frac{a}{c} = \frac{4}{5}$

$cos(A) = \frac{Adjacent side}{Hypotenuse} = \frac{b}{c} = \frac{3}{5}$

$tan(A) = \frac{opposite side}{Adjacent side} = \frac{a}{b} = \frac{4}{3}$

Step-by-step explanation:

Step(i):-

Given b = 3 and hypotenuse c = 5

Given ΔABC is a right angle triangle

By using pythagoras theorem

c² = a² + b²

⇒ a² = c² - b²

⇒ a² = 5²-3²

=25 - 9

a² = 16

⇒ a = √16 = 4

The sides of right angle triangle a = 4 ,b = 3 and c = 5

Step(ii):-

$sin(A) = \frac{opposite side}{Hypotenuse} = \frac{a}{c} = \frac{4}{5}$

$cos(A) = \frac{Adjacent side}{Hypotenuse} = \frac{b}{c} = \frac{3}{5}$

$tan(A) = \frac{opposite side}{Adjacent side} = \frac{a}{b} = \frac{4}{3}$

7 0

3 years ago

line passes through the point (0, –1) and has a positive slope. Which of these points could that line pass through? Check all th

sammy [17]

Answer:

Points passing though are (12, 3),(–2, –5) and (1, 15)

Step-by-step explanation:

For a line passing through (x₁,y₁) and (x₂,y₂) slope is given by $\frac{y_2-y_1}{x_2-x_1}$ .

Here we have one point (0, –1), we need to check slope of all the points given.

(12, 3)

$m=\frac{3-(-1))}{12-0}=\frac{1}{4}>0$

(–2, –5)

$m=\frac{-5-(-1))}{-2-0}=\frac{-4}{-2}=2>0$

(–3, 1)

$m=\frac{1-(-1))}{-3-0}=\frac{2}{-3}=-\frac{2}{3}$

(1, 15)

$m=\frac{15-(-1))}{1-0}=\frac{16}{1}=16>0$

(5, –2)

$m=\frac{-2-(-1))}{5-0}=\frac{-1}{5}=-\frac{1}{5}$

Points with positive slope are (12, 3),(–2, –5) and (1, 15)

8 0

4 years ago

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Which ordered pair is a solution of the inequality? y is greater than or equal to 4x-5

lesya692 [45]

(1,1) -->> 1 >= 4(1) - 5 -->> 1 >= 4-5 -->> 4 >= -1

8 0

3 years ago

Ollie borrowed $5000 for 3 years at a compound interest rate of 10%.

I am Lyosha [343]

I think Ollie payed $1,500 back.

3 0

1 year ago

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Is this a right triangle? 15 m, 36 m, 39 m

Vesnalui [34]

Answer:

YES

Step-by-step explanation:

use pythagorean theorem

15^2 + 36^2 = 39^2

225 + 1296 = 1521

1521=1521

5 0

3 years ago

Read 2 more answers