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2 years ago

Without sketching the graph solve -6-x>10

Mathematics

2 answers:

kompoz [17]2 years ago

5 0

Answer:

x < -16

Step-by-step explanation:

-6-x>10

adding 6 in both sides:

-6-x+6 > 10+6

-x > 16

If you want to remove the negative sign from x, you'll have to change the inequality sign.

x < - 16

Hope this helps.

Shalnov [3]2 years ago

4 0

Answer:

$x < - 16$

Step-by-step explanation:

-6 - x > 10

group like terms

-x > 10 + 6

-x > 16

divide both sides by -1

-x/-1 < 16/-1

x < -16

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Reptile [31]

Answer:

(9.37, 17.7) ; (14.10, 19.42); (20.8, 22.3)

Step-by-step explanation:

For the first picture :

The missing angle :

180 - (32 + 90)

180 - (122) = 58°

To obtain the length of side x:

From ptthagoras:

Tan58° = opposite / Adjacent

1.6003345 = 15 / x

x = 15 / 1.6003345

= 9.37

y = sqrt(15^2 + 9.37^2)

y = sqrt(312.7969)

y = 17.7m

Missing angle :

From ptthagoras :

Sin54° = opposite / hypotenus

0.8090169 = y/ 24

y = 0.8090169 * 24

y = 19.42

x = sqrt(24^2 - 19.42^2)

x = sqrt(198.8636)

x = 14.10

Sin21° = opposite / hypotenus

0.3583679 = 8 /y

y = 8 / 0.3583679

y = 22.3

x = sqrt(22.3^2 - 8^2)

x = sqrt(433.29)

x = 20.8

7 0

2 years ago

I’m stuck on this please someone help

kakasveta [241]

Answer: $\bold{a_{n+1}=\dfrac{1}{2}a_n}$

Step-by-step explanation:

Term-to-term rule is also called the recursive rule.

The recursive rule for a geometric sequence is: $a_{n+1}=a_n\cdot r$ where

$a_n\ \text{is the previous term}$
r is the common ratio

The common ratio (r) is the second term divided by the first term (which is the same ratio for each term divided by its previous term)

In the given sequence {64, 32, 16, 8, 4}, $r=\dfrac{32}{64}\quad \rightarrow \quad r=\dfrac{1}{2}$

So, the recursive rule is: ${a_{n+1}=a_n\cdot \dfrac{1}{2}$

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2 years ago

A student had 500 milliliters of water in a water bottle. She drank 25% of the water before soccer practice. After practice, she

AlladinOne [14]

Step-by-step explanation:

25\100*500=125

1/3*125=41.66

41.66 millilites is left in the bottle

4 0

3 years ago

0.15(y-0.2)=2-0.5(1-y) The answer is -153/35 I just need to know how to get that

butalik [34]

Answer:

$y=-\dfrac{153}{35}$ .

Step-by-step explanation:

The given equation is

$0.15(y-0.2)=2-0.5(1-y)$

Using distributive property, we get

$0.15(y)+0.15(-0.2)=2-0.5(1)-0.5(-y)$

$0.15y-0.03=2-0.5+0.5y$

$0.15y-0.03=1.5+0.5y$

Isolate variable terms.

$0.15y-0.5y=1.5+0.03$

$-0.35y=1.53$

Divide both sides by -0.35.

$y=\dfrac{1.53}{-0.35}$

$y=-\dfrac{1.53}{0.35}\times \dfrac{100}{100}$

$y=-\dfrac{153}{35}$

Therefore, $y=-\dfrac{153}{35}$ .

6 0

2 years ago

I will mark brainliest to whoever gets this answer! Please help!

lisov135 [29]

Answer:

20 yd²

Step-by-step explanation:

This problem is really easy once you break it down!

First, find the area of the triangle.

$A = \frac{1}{2}bh$

b = 5 + 3 = 8

h = 4 + 4 = 8

$A = \frac{1}{2}*8*8$

$A = 32$

Now find the area of the square.

$A = lw$

$A = 4*3$

$A = 12$

The last step is to subtract.

Area of triangle - area of rectangle =

32 - 12 = 20

20 yd²

Hope this helped! :)

4 0

3 years ago

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