Find the measures of all of the angles.

1. ∠ABC =
2. ∠BCA =
3. ∠CAB =

Answer:

The answer is B. 60°

Step-by-step explanation:

The Unit Circle.

A =  sin^-1 ( [tex]\frac{\sqrt{3} }{2}[/tex]) = 60°

Answer:

In geometry, the incircle or inscribed circle of a triangle is the largest circle contained in the triangle; it touches (is tangent to) the three sides. The center of the incircle is a triangle center called the triangle's incenter.

Answer:

A reflection on the y axis, and 12 units to the right

Step-by-step explanation:

This is true because if you translate something from one variable, you are going over the second variable.

Answer:

200 km/hr

Step-by-step explanation:

Let Va = the velocity of the airplane

Let Vw = the velocity of the wind

When flying with the wind:

(Va+Vw)*(4 hours) = 4000

4Va + 4Vw = 4000

4Vw = 4000 - 4Va

Vw = 1000 - Va

When flying against the wind:

(Va-Vw)*(7 hours) = 4200 km

7Va - 7Vw = 4200

Substitute 1000-Va for Vw and solve for Va:

7Va - 7(1000-Va) = 4200          

7Va -7000 + 7Va = 4200

14Va = 11200

Va = 800 km/hr

Rate of wind:

Vw = 1000 - Va = 1000 - 800 = 200 km/hour

Answer:

14 in

Step-by-step explanation:

area cylinder= area of base × height of cylinder

area of cylinder = (pi × radius²) × H

(sub in values )

196×pi = (pi x r²) × 1

(196×pi)/1 = pi × r²

(196×pi)/pi = r²

(pics cancel each other )

then, square root 196= r

14 in = radius

Answer:

27<AB<81

Step-by-step explanation:

The sum of two sides of a triangle have to be than the length of the third side. 27+54 is 81, so the AB has to be less than 81. Now, to find the minimum, I can say 27+x has to be greater than 54, so x has to be greater than 27. Therefore, the answer has to be between 27 and 81, so the 2nd one is correct.

Answer:

B. 27 < AB < 81

Step-by-step explanation:

Nice

4a.4²x +3=1

Slotuion:

4²x + 3=1 : x= -⅛ (Decimal:x= -0.125)

Steps

4² x +3=1

4²=16

16x + 3=1

Subract 3 from borh sides

16x +3-3=1-3

Simplify

16x=-2

Divides both sides by 16

[tex] \frac{16 \times }{16} =

[tex] \frac{ - 2}{16} [/tex]

[/tex]

Simplitfy

[tex] \frac{16 \times }{16} : x[/tex]

Simplify

[tex] \frac{ - 2}{16}: -⅛ [/tex]

x = -⅛

therefore the answer is x= -⅛

4b.ex-1 -5 =5

x~=3.30258

explanation:

e^(x-1)-5=5

e^(x-1)=10

x-1=ln 10

x-1~=2.30258

x~=3.30258

[tex] \large \pink{ \overbrace{ \underbrace{ \tt{ \color{red}{ \: \: \: \: \: \: \: hope \: it \: help \: you \: \: \: \: \: \: \: \: }}}}}[/tex]

You have writing errors may be

[tex]\\ \rm\Rrightarrow 4x²+3=1[/tex]

[tex]\\ \rm\Rrightarrow 4x²=1-3[/tex]

[tex]\\ \rm\Rrightarrow 4x²=-2[/tex]

[tex]\\ \rm\Rrightarrow x^2=-1/2[/tex]

[tex]\\ \rm\Rrightarrow logx²=-log0.5[/tex]

[tex]\\ \rm\Rrightarrow 2logx=-log0.5[/tex]

[tex]\\ \rm\Rrightarrow logx=0.15[/tex]

[tex]\\ \rm\Rrightarrow x=10^{0.15}[/tex]

[tex]\\ \rm\Rrightarrow x=1.412[/tex]

#2

[tex]\\ \rm\Rrightarrow e^{x-1}-5=5[/tex]

[tex]\\ \rm\Rrightarrow e^{x-1}=10[/tex]

[tex]\\ \rm\Rrightarrow x-1=ln10[/tex]

[tex]\\ \rm\Rrightarrow x-1=2.3[/tex]

[tex]\\ \rm\Rrightarrow x=2.3+1[/tex]

[tex]\\ \rm\Rrightarrow x=3.3[/tex]

Answer:

Step-by-step explanation:

Fraction:

Simplify:

Answer would be 9/36.

By finding and using the scale factor for the model, we conclude that the height of the model is 9.6 inches.

The ratio between the model's width and the real width is the scale factor, and all the dimensions change following that scale factor.

We have:

8 in = 10ft

1 ft = (8/10) in

This means that each feet in the real life, will be represented with (8/10) inches in the model.

Now we know that the real height is 12ft, then the model's height will be:

12* (8/10) in = 9.6 in

So the correct option is B.

If you want to learn more about scale factors, you can read:

https://brainly.com/question/3457976

Answer:

9.6

Step-by-step explanation:

took usatest prep got a 100%

Answer:

Step-by-step explanation:

First find the natural log of 4200:  It is 8.343.

Then 4200 = e^8.343

Answer:

(a) 5.61

Step-by-step explanation:

Rearrange from smallest to largest:

☟︎︎︎

5.61 < 16.5 < 51.6 <56.1

Answer:

The answer is option B

3/5

Answer:

x = 35° , y = 90°

Step-by-step explanation:

the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

145° is an exterior angle of the triangle , then

y + 55° = 145° ( subtract 55° from both sides )

y = 90°

the sum of the 3 angles in a triangle = 180° , then

x + y + 55° = 180°

x + 90° + 55° = 180°

x + 145° = 180° ( subtract 145° from both sides )

x = 35°

Answer:

L×W×B

10×7×6

=420cm of triangular prism

Answer:

d

Step-by-step explanation:

d

The sales equation of the product is an illustration of a quadratic function, and the lifeline of the product is 12 years

The sales equation is given as:

S(t) = -(t - 3)² + 81

The lifeline of the product is when the sales hits 0.

This means that S(t) = 0

So, we have:

-(t - 3)² + 81 = 0

Subtract 81 from both sides

-(t - 3)² = -81

Divide both sides by -1

(t - 3)² = 81

Take the square root of both sides

t - 3 = 9

Add 3 to both sides

t = 12

Hence, the lifeline of the product is 12 years

#SPJ1

Read more about quadratic functions at:

https://brainly.com/question/1497716

Answer :-

Let the side of the square measure a cm, thus, according to the question,

We know that,

➭ Area ( Square ) = a²

Thus, the area of the square with normal length i.e. a cm, will be,

⤳ Area = a x a

⤳ Area = a²

Now, by taking the new length, the area will become,

⤳Area = 3a x 3a

⤳ Area = 9a²

Now,

We observe that, if we divide these, we get,

➤ 9a²/a²

( a² will get canceled since its common )

Thus, the ratio becomes,

➭ 9 : 1 = Area square with tripled length : Area of square

Thus, the area will increase by 9 times, and not 3.

Hence, Ashley's assumptions are wrong.

Step-by-step explanation:

90 degrees rotation, clockwise

Answer: 57m

Step-by-step explanation: Speed is 3m/s

Time is 19seconds

distance =speed × time

Distance = 19 × 3

Answer:

57 m.

Step-by-step explanation:

In 1 second it can run 3 m

So in 19 s it can run 3*19

= 57 m.

Using the vertex of the quadratic equation, it is found that the ball reaches it's maximum height after 2.1 seconds.

A quadratic equation is modeled by:

[tex]y = ax^2 + bx + c[/tex]

The vertex is given by:

[tex](x_v, y_v)[/tex]

In which:

[tex]x_v = -\frac{b}{2a}[/tex]

[tex]y_v = -\frac{b^2 - 4ac}{4a}[/tex]

Considering the coefficient a, we have that:

In this problem, the equation is given by:

h(t) = -5t² + 21t + 120.

Meaning that the coefficients are a = -5, b = 21, c = 120.

Hence, the time at which the maximum height is reached is given by:

[tex]t_v = -\frac{b}{2a} = -\frac{21}{-10} = 2.1[/tex]

More can be learned about the vertex of a quadratic equation at https://brainly.com/question/24737967

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The 63.5% of the students who do not exercise is the wrong percentage because 70% of the students do not exercise.

The amount of something is expressed as if it is a part of the total which is a hundred. The ratio can be expressed as a fraction of 100. The word percent means per 100. It is represented by the symbol ‘%’.

Miguel thinks that his data do not support the article's claim because 63.5% of the students who made the honor roll at his school do not exercise.

The percentage of the students who do not exercise will be

[tex]\rm P = \dfrac{112}{160} \times 100\\\\P = 70\%[/tex]

The 63.5% of the students who do not exercise is the wrong percentage because 70% of the students do not exercise.

More about the percentage link is given below.

https://brainly.com/question/8011401

#SPJ1

Answer:

y=6x

Step-by-step explanation:

1. find the slope m. Pick two points on the line, such as (0,0) and (1,6). Plug those points into the slope formula.

m=change in y/change in x

m=6-0/1-0   Plug in (0,0)(1,6)

m=6/1    simplify

m=6  

The slope is 6

2. Find the y-intercept. Since the line crosses the y-axis at 0, the y-intercept is 0.

3. Use the slope m=6 and the y-intercept b=0 to write the equation in slope-intercept form.

y=mx+b

y=6x+0   Plug in m=6 and b=0

y=6x

Answer:

2

Step-by-step explanation:

2 times 2 times 2 equals 8

Answer: 1/10, 1/7, 2/9, 2/5, 7/11, 1/4, 1/10, 1/7,  1/9, 1/2 , 1/8, 1/12, 0/1, 0/0
1/13, 1/3, 1/4

Step-by-step explanation: i think i know all the answers

Answer:

26 miles per gallon

Step-by-step explanation:

Divide 416 by 16 to find miles per gallon :)

Answer:

x = 8

Step-by-step explanation:

24x = 6 x 32

24x = 192

x = 192/24

x = 8

Answer:

0.733 repeating

Step-by-step explanation:

use your calculator

Answer:

x = 73/12

Step-by-step explanation:

Given:

[tex]\displaystyle \large{12(x-7)=-11}[/tex]

Distribute 12 in x-7:

[tex]\displaystyle \large{12x-84=-11}[/tex]

Add both sides by 84:

[tex]\displaystyle \large{12x-84+84=-11+84}\\\displaystyle \large{12x=73}[/tex]

Divide both sides by 12:

[tex]\displaystyle \large{\dfrac{12x}{12}=\dfrac{73}{12}}\\\displaystyle \large{x=\dfrac{73}{12}}[/tex]

Therefore, the solution is x = 73/12

Answer:

[tex]\large\boxed{\bf\:x = \frac{73}{12} = 6\frac{1}{12} \approx 6.083}[/tex]

Step-by-step explanation:

[tex]12(x - 7) = -11[/tex]

Multiply 12 by x & 7 (distributive property) in the left hand side of the equation .

[tex]12(x-7)=-11\\(12*x)-(12*7)=-11\\12x - 84 =-11[/tex]

Bring -84 to the right hand side of the equation. Then,

[tex]12x = -11 + 84\\12x = 73\\x=\frac{73}{12} \\\\\boxed{\bf\:x = \frac{73}{12} = 6\frac{1}{12} \approx 6.083}[/tex]

[tex]\rule{150pt}{2pt}[/tex]

Answer:

B

Step-by-step explanation:

because 30÷3=10

Answer:

Your answer is B

Step-by-step explanation: