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3 years ago

Simplify 3(x - 6) - 4(x + 3). A)-x - 30 B)-x - 9 C)-x - 6 D)-x - 30

Mathematics

2 answers:

snow_tiger [21]3 years ago

7 0

Answer:d)-x-40

Step-by-step explanation:

morpeh [17]3 years ago

3 0

Answer:

-x-30

Step-by-step explanation:

first you need to distribute:

3(x)+3(-6) -4(x)+ (-4)(3)

Then you multiply:

3x+(-18)-4x+(-7)

then you combine like terms:

3x-4x= -1x 

-18+(-7)= -25

simplified:

-1x-30

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20.) A=49.23 degrees, c=54.8Solve the right triangle. Express angles in decimal degrees.

vivado [14]

$\begin{gathered} a=41.50 \\ b=35.78 \\ B=40.76\text{ \degree} \\ \end{gathered}$

Explanation

Step 1

a) let

$\begin{gathered} A=49.23\text{ \degree} \\ c=54.8\text{ \degree} \end{gathered}$

b) b value

to find the measure of side b we can use cosine function

$\begin{gathered} cos\theta=\frac{adjacent\text{ side}}{hypotenuse} \\ replace \\ cos\text{ 49.23=}\frac{b}{54.8} \\ b=54.8*cos49.23 \\ b=35.78 \end{gathered}$

c) angle B

to find the measure of Angle B we can use sine function

$\begin{gathered} sin\theta=\frac{opposite\text{ side}}{hypotenuse} \\ replace \\ sin\text{ B=}\frac{35.78}{54.8} \\ sin\text{ B= 0.65}\Rightarrow inverse\text{ function to isolate B} \\ B=\sin^{-1}(0.65) \\ B=40.76 \end{gathered}$

d) side a

$\begin{gathered} sin\theta=\frac{opposite\text{ side}}{hypotenuse} \\ sin\text{ A=}\frac{a}{c}=\frac{\placeholder{⬚}}{\placeholder{⬚}} \\ sin\text{ 49.23=}\frac{a}{54.8} \\ multiply\text{ both sides by 54.8} \\ 54.8s\imaginaryI n\text{49.23=}\frac{a}{54.8}*54.8 \\ 41.50=a \end{gathered}$

so, the answer is

$\begin{gathered} a=41.50 \\ b=35.78 \\ B=40.76\text{ \degree} \\ \end{gathered}$

I hope this helps you

7 0

10 months ago

A bag contains 13 dark chocolates, 16 white chocolates, and 11 milk chocolates. Maggie’s class teacher, Jill, is very strict, an

il63 [147K]

First, we need to know the amount of the total chocolates, which is :

13 + 16 + 11 = 40
White Milk

The probability that she randomly picks either white chocolate or milk is

= (16 + 11)/40

= 27/40

Hope this helps

3 0

3 years ago

If the air temperature is −14°F, how many degrees must it rise to reach 0°F?

krek1111 [17]

Answer:

14°

Step-by-step explanation:

→Since the temperature is a negative number, for the degree to reach 0, you must add with the same number.

→The temperature is -14, so to get it to 0, you add 14:

-14 + 14 = 0

4 0

3 years ago

Read 2 more answers

Please do quick

ElenaW [278]

Answer:

$12

Explanation: 60 x .2= 12 + 60= $72

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3 years ago

Enter an equation in standard form to model the linear situation. A bathtub that holds 41 gallons of water contains 11 gallons o

WITCHER [35]

Answer: In this equation, let "x" equal the rate at which the tub will be filled. The tub holds 32 gallons, which will be one-half of the equation. The tub already contains 12 gallons, so this will be half of the other side of the equation. The rate is "x" gallons per minute, and the time it required was 5 minutes, so this would be "5x". Placing all these parts together gives an equation of (32 = 5x + 12) gallons per minute dispensed.

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2 years ago