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3 years ago

Which values from the set (-6,-4,-3,-1,0,2) satisfy this inequality? - 1/2 x + 3 > 5

Mathematics

1 answer:

andrew-mc [135]3 years ago

4 0

Answer:

-6

Step-by-step explanation:

Manipulating the initial inequality, we get x < -4

Out of the given ones, only -6 is STRICTLY smaller than -4, thus the only one that satisfies the inequality.

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Select the functions that have a value of -1. sin180° cos180° tan180° csc180° sec180° cot180°

kupik [55]

We have to break each degree in terms of 90

A) $sin180^\circ=sin(90\times2+0)$

Which is in third quadrant, therefore sine is negative hence

$sin(90\times2+0)= -sin0 ^\circ = 0$

B) $cos180^\circ =cos(90\times2+0)$

Which is in third quadrant, therefore cosine is negative hence

$cos(90\times2+0)= -cos0^\circ = -1$

C) $tan180^\circ=tan(90\times2+0)$

Which is in third quadrant, therefore tangent is positive hence

$tan(90\times2+0)= tan0^\circ = 0$

D) $csc180^\circ=csc(90\times2+0)$

Which is in third quadrant, therefore cosec is negative hence

$cosec(90\times2+0)= -csc0^\circ =$ not defined

E) $sec180^\circ=sec(90\times2+0)$

Which is in third quadrant, therefore secant is negative hence

$sec(90\times2+0)= -sec0^\circ = -1$

F) $cot180^\circ=cot(90\times2+0)$

Which is in third quadrant, therefore tangent is positive hence

$cot(90\times2+0)= cot0^\circ =$ not defined

Hence only $cos 180^\circ$ and

$sec180^\circ$ have value -1

Hope this will help

7 0

3 years ago

On a spelling test, Marcy got 15% of the questions incorrect. If there were 40 questions on the spelling test, than how many que

marissa [1.9K]

Answer:

Step-by-step explanation:

Marcy got 15% of the 40 wrong

.15 *40

If she got 6 wrong, then she got the rest right

40-6 = 34

She got 34 right

4 0

3 years ago

In 1892, George W.G Ferris, an engineer from Illinois, designed and built the first ferris wheel. This wheel was 250 feet in dia

Fed [463]

D=2r
250=2r
250/2=r
125=r

6 0

3 years ago

A bread recipe calls for a flour to water ratio of 10 to 7. If 600 grams of flour is used in this recipe, how many grams of wate

polet [3.4K]

Grams of water
= (600/10) x 7
= 420

7 0

3 years ago

Read 2 more answers

How many solutions does this system of linear equations have? Explain. 3y + 6x = 12 8x + 4y = 16

Vilka [71]

Answer:

first equation : 3y + 6×=12

second equation : 4y + 8x = 16

Step-by-step explanation:

first equation

3y + 6× = 12

now take the common ,

3( y + 2x ) = 12

so, y + 2x = 4

second equation

4y + 8x = 16

4 ( y + 2x ) = 16

so, y + 2x = 4

two lines with same equation have infinitely many solution . these two equations are the same so there are infinitely many solution .

3 0

3 years ago