Which expression is equivalent to 4(x-3) ?
Group of answer choices

x-12

4x-12

4x-3

12x

Answer:

x ≈ 8.1 units

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan72° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{25}{x}[/tex] ( multiply both sides by x )

x × tan72° = 25 ( divide both sides by tan72° )

x = [tex]\frac{25}{tan72}[/tex] ≈ 8.1 ( to the nearest tenth )

Answer:

60

Step-by-step explanation:

Answer:

120

Step-by-step explanation:

TQR = 180 - (35+25) = 120

TQP= 180-120=60

TNP=TQP =60

MNT= 180-60=120

Answer:

[tex] \huge \boxed{ \red{ \boxed{\begin{cases} \theta = {45}^{ \circ} \\ \theta= {60}^{ \circ} \end{cases} }}}[/tex]

Step-by-step explanation:

distribute tan(θ):

=>tan²(θ)-(tan(θ)+√3tan(θ))+√3=0

remove parentheses:

=>tan²(θ)-tan(θ)-√3tan(θ)+√3=0

so this equation is now in standard form i.e ax²+bx+c=0

we can solve by factoring as we solve quadratic equation

factor out tanθ:

=>tan(θ)(tan(θ)-1)-√3tan(θ)+√3=0

factor out -√3:

=>tan(θ)(tan(θ)-1)-√3(tan(θ)-1)=0

group:

=>(tan(θ)-√3)(tan(θ)-1)=0

separate it as two different equation:

[tex] \implies \begin{cases} \tan( \theta) - 1 = 0 \\ \tan( \theta) - \sqrt{3} = 0 \end{cases}[/tex]

add 1 and √3 to both sides to first and second equation respectively:

[tex] \implies \begin{cases} \tan( \theta) - 1 + 1 = 0 + 1 \\ \tan( \theta) - \sqrt{3} + \sqrt{3} = 0 + \sqrt{3} \end{cases} [/tex]

[tex] \implies \begin{cases} \tan( \theta) = 1 \\ \tan( \theta) = \sqrt{3} \end{cases} [/tex]

[tex] \therefore \begin{cases} \theta = {45}^{ \circ} \\ \theta= {60}^{ \circ} \end{cases} [/tex]

Answer:

C. 262 cm

Step-by-step explanation:

Use the formula for the volume of a sphere, V = [tex]\frac{4}{3}[/tex][tex]\pi[/tex]r³

Since the diameter is 10 cm, the radius will be 5 cm

Plug in the radius into the formula:

V = [tex]\frac{4}{3}[/tex][tex]\pi[/tex](5³)

V = [tex]\frac{4}{3}[/tex][tex]\pi[/tex](125)

V = 523.6

Since the bowl is a hemisphere, divide this by 2:

523.6/2

= 261.8

Rounding to the nearest cm, the volume of the bowl is 262 cubic cm.

So, the correct answer is C. 262 cm

Answer:

0,-1

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

D starts low on both sides but is highest in the middle

Answer:

x y

12 100

13 70

14 40

Step-by-step explanation:

Answer:

$80

Step-by-step explanation:

10x + 30 = y

He wants to rent it for 5 hours, so we replace x with 5.

10(5) + 30 = 80

He should expect to pay $80 for the rental.

Answer:

The answer is D

Answer:

a/8 = b/15

Step-by-step explanation:

a/b = 8/15  -- divide both side by 8 and multiple both side by b

a/8 = b/15

Here is my answer. I hope this is helpful.

Step-by-step explanation:

Given

[tex] \sqrt{4} \times (2) \\ \sqrt{ {2}^{2} } \times 2 \\ = 2 \times 2 \\ = 4

Hope it will help :)❤

Look at the explanation to understand.

Step-by-step explanation:

Step 1.

Apply the rule. (a) = a

For this expression, (2) = 2

[tex]\sqrt{4}\times2[/tex]

Step 2.

Multiply 4 by 2.

4 × 2 = 8

Step 3.

Prime factorization of 8: 2³

[tex]\sqrt{2^3}[/tex]

Step 4.

Apply the exponent rule. [tex](a^b^+^c=a^b\times a^c)[/tex]

2³ = 2² × 2

[tex]\sqrt{2^2\times2}[/tex]

Step 5.

Apply the radical rule. [tex]\sqrt{ab}=\sqrt{a}\sqrt{b}, a\geq 0, b\geq 0[/tex]

[tex]\sqrt{2^2}\sqrt{2}[/tex]

Step 6.

Apply the radical rule again. [tex]\sqrt{a^2}=a, a\geq 0[/tex]

[tex]2\sqrt{2}=4[/tex]

Hence, 4 is the answer.

Answer:

The description of Margot as a frail girl who had lost her vibrancy shows that she was in eager anticipation of the rain.

Step-by-step explanation:

The short story, "All Summer in a Day", tells of how a girl named Margot always stood differently from her classmates because she eagerly anticipated a time when the sun will come out as the scientists projected. It had been raining in this planet, Venus for seven years non-stop.

Margot who came from planet earth some five years ago could still clearly recall how the sun looked like and despite her description of it, the children still doubted her. On the day the sun finally came, the children locked Margot in a closet and she was unable to see the sun.

Answer:

true

Step-by-step explanation:

Answer: https://brainly.com/question/22661875?answering=true&answeringSource=feedPublic%2FhomePage%2F10

Step-by-step explanation: hope tis helps

Answer: 34

Hope this helps :)

Answer:

18

Step-by-step explanation:

Answer:36

Step-by-step explanation:it just is

Answer:

y=4

Step-by-step explanation:

3(9) +4y= 43

27+4y=43

4y=16

y=4

Answer:

the answer would be the second one

Step-by-step explanation:

a congruency symbol consists of a = and a ~

Answer:

45.5

Step-by-step explanation:

To find 35% of 70, you have to use the equation...

70 x 35/100

70 x 35 = 2,450

2,450/100 = 24.5

24.5 is 35% of 70, so the item is now $24.5 less than the original price.

70 - 24.5 = 45.5

The selling price is $45.5

Answer:

Usually it means to solve it. Sometimes they give you values to substitute in for variables (letters) in the math sentence/equation/expression.

Does that make sense?

Step-by-step explanation:

Answer

x + 7.

Step-by-step explanation:

The answer is X + 7 because you know, 8x + 13 and if 7x - 9 we're solded. We remove 7x at 8x so at least we have only one x and we remove 9 than 16 so we have 7. That's why the reply is x + 7. Sorry if I wasn't clear, I am not really good at english.

Answer: [tex]25^{\circ}[/tex]

Step-by-step explanation:

Given

The highest temperature recorded is [tex]18^{\circ}[/tex]

The lowest temperature recorded is [tex]-7^{\circ}[/tex]

The amount of change between the high and the low temperatures is

[tex]\Rightarrow 18-(-7)=18+7\\\Rightarrow 25^{\circ}[/tex]

Answer:

the ratio of 6 kg 400 gram is 1:662