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3 years ago

Two angles in a triangle add up to 152 degrees. What is the size of the third angle?

1 answer:

iogann1982 [59]3 years ago

6 0

A triangle equals 180 degrees, so we already have the other which total to 152. So we just have to 180‐152, and the answer is 28.

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Thanks to all the people who helped me

Elza [17]

Answer:

i think it is b i am not sure

Step-by-step explanation:

7 0

3 years ago

Select the correct answer. Rewrite the following expression.

kolezko [41]

The algebraic expression $x^{10/3}$ is equivalent to the algebraic expression $x^{3}\cdot \sqrt[3]{x}$ . Thus, the right choice is option D.

<h3>How to apply power and root properties to rewrite a given expression</h3>

In this question we must apply the following set of algebraic properties to simplify a given expression:

$x^{m/n} = \sqrt[n]{x^{m}} = \left(\sqrt[n]{x}\right)^{m}$ (1)

$x^{m+n} = x^{m}\cdot x^{n}$ (2)

$x^{m\cdot n} = \left(x^{m}\right)^{n} = \left(x^{n}\right)^{m}$ (3)

Where:

m, n - Exponents
x - Base

And also by apply the definition of power.

If we know that the given expression is $x^{10/3}$ , then the equivalent expression is:

$x^{10/3} = \sqrt[3]{x^{10}} = \sqrt[3]{x^{9}\cdot x} = \sqrt[3]{x^{9}}\cdot \sqrt[3]{x} = x^{3}\cdot \sqrt[3]{x}$

The algebraic expression $x^{10/3}$ is equivalent to the algebraic expression $x^{3}\cdot \sqrt[3]{x}$ . Thus, the right choice is option D.

To learn more on roots, we kindly invite to check this verified question: brainly.com/question/1527773

7 0

2 years ago

Find the product.

Inga [223]

(2p + 7)(3p-9)
2p x 3p= 6p^2
2p x -9= -18p
7 x 3p=21p
7 x -9=-63
6p^2 - 18p + 21p - 63
6p^2 + 3p -63 is the answer.

6 0

4 years ago

Read 2 more answers

The diameter of a circle if five times the length of a recatngle. The length of a rectangle is three times the width of the rect

Leno4ka [110]

Answer:

706.5 ft²

Step-by-step explanation:

A. Width of the rectangle

The formula for the area of a rectangle is

A = lw

But, l = 3w, so,

A = (3w)w

= 3w² = 12

w² = 4 Divided each side by 3

w = 2 ft Took the square root of each side

B. Length of rectangle

l = 3w = 6 ft

C. Diameter of circle

d = 5l = 5 × 6 = 30 ft

D. Radius of circle

d = 2r

r = d/2 Divided each side by 2

r = 30/2 = 15 ft

E. Area of circle

A = πr² = 3.14 × 15² = 3.14 × 225 = 706.5 ft²

The area of the circle is 706.5 ft².

8 0

4 years ago

you have a big bag of 17 marbles for our blue sticks are green 2 are red and the others are yellow what is the probability of dr

Alex Ar [27]

Answer:

3/68

Step-by-step explanation:

Given

Total 17 marbles
4 - blue marbles
6 - green marbles
2 - red marbles
The rest - yellow marbles

Probability of drawing red first:

P(red) = number of red / total number = 2/17

Probability of drawing green second, without replacement:

P(green) = number of green / number left in the bag = 6/16 = 3/8

Probability of red and green in order:

P = P(red)*P(green) = 2/17*3/8 = 3/68

5 0

3 years ago