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2 years ago

Find an angle é coterminal to - 214°, where 0° 0 < 360°

Mathematics

1 answer:

Paladinen [302]2 years ago

7 0

I think it’s. 314 because it can be divided by pi for a numerical text expression.

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Explain how the Remainder Theorem and the Factor Theorem are related.

Daniel [21]

Basically the remainder theorem links the remainder of division by a binomial with the value of a function at a point while the factor theorem links the factors of polynomial to its zeros

8 0

2 years ago

The line segment shown is rotated 90° about the origin (counterclockwise). What are the new coordinates of point A? A) (2, 1) B)

rjkz [21]

Under a counterclockwise rotation about the origin of 90°

a point (x , y ) → (- y, x ), hence

A(2, 1 ) → A'(- 1, 2 )

3 0

2 years ago

Read 2 more answers

In remodeling a kitchen, a builder decides to place a splash-guard behind the sink consisting of eight 6-inch-square ceramic til

oksano4ka [1.4K]

Answer:

(a) 0.4242

(b) 0.0707

Step-by-step explanation:

The total number of ways of selecting 8 herbs from 12 is

$\binom{12}{8}=495$

(a) If 2 herbs are selected, then there are 8 - 2 = 6 herbs to be selected from 12 - 8 = 10. The number of ways of the selection is then

$\binom{10}{6}= 210$

Note that this is the number of ways that both are included. We would have multiplied by 2! if any of them were to be included.

The probability = $\dfrac{210}{495}=0.4242$

(b) If 5 herbs are selected, then there are 8 - 5 = 3 herbs to be selected from 12 - 5 = 7. The number of ways of the selection is then

$\binom{7}{3}= 35$

This is the number of ways that both are included. We would have multiplied by 5! if any of them were to be included. In that case, our probability will exceed 1; this implies that certainly, at least, one of them is included.

The probability = $\dfrac{35}{495}=0.0707$

6 0

2 years ago

An isosceles triangle has a base of 44 inches and an altitude of 58 inches. What is the length of each leg?

const2013 [10]

Answer:

hello! although i am not really knowlegeble about this subject, i hope the lengths below can help you solve the problem :)

Step-by-step explanation:

side length: 62.03inches

perimeter: 168.06

area:1276

if this does help you, a brainliest would be appreciated!

5 0

2 years ago

Limited time . 10 points

AfilCa [17]

Answer:

Therefore the value of x is

$x=1\pm\sqrt{19}i$

Step-by-step explanation:

Given:

$x^{2}+20=2x$ which is

$x^{2}-2x+20=0$

To Find:

x = ? using Quadratic Formula

Solution:

For a Quadratic Equation ax² + bx + c = 0 , Formula Method is given as

$x=\dfrac{-b\pm\sqrt{b^{2}-4ac}}{2a}$

On Comparing with above we get

$a=1\\b=-2\\c=20$

Substituting a , b , c in Formula method we get

$x=\dfrac{-(-2)\pm\sqrt{(-2)^{2}-4(1)(20)}}{2\times 1}\\\\x=\dfrac{2\pm\sqrt{-76}}{2}\\\\x=\dfrac{2\pm2\sqrt{19}i}{2}\\Dividing\ by\ 2\ we\ get\\\\x=1 \pm\sqrt{19}i$

Therefore the value of x is

$x=1\pm\sqrt{19}i$

8 0

3 years ago