The second angle of a triangle is 3 times as large as the first angle. The third angle is 30 degrees more than the first angle. Find the measure of the angles.

Answer:

√38 , √44

Step-by-step explanation:

√25 = 5   and  √100 = 10

So, required numbers should be between √25 and √100

And so,  they are √38 , √44

(Edit) I was wrong nevermind.

Step-by-step explanation:

p(q-r) = pq - pr

Hope it helps

Answer:

34, 15, -4, -23 and -42

Step-by-step explanation:

We are to find the first five sequence

when n = 1

f(2) = f(1) - 19

f(2) = 34 - 19

f(2) = 15

when n = 2

f(2+1) = f(2) - 19

f(3) = f(2) - 19

f(3) = 15 - 19

f(3) = -4

when n = 3

f(3+1) = f(3) - 19

f(4) = f(3) - 19

f(4) = -4 - 19

f(4) = -23

when n = 4

f(4+1) = f(4) - 19

f(5) = f(4) - 19

f(5) = -23 - 19

f(5) = -42

Hence the first five terms  in the arithmetic sequence are 34, 15, -4, -23 and -42

Answer:

Ben's bike gave the best mileage.

Step-by-step explanation:

Kris's bike mileage = 297 / 4.5

Kris's bike mileage = 66 mile/gallon

Jack's bike mileage = 366 / 6

Jack's bike mileage = 61 mile/gallon

Ben's bike mileage = 265.2 / 5.2

Ben's bike mileage = 51 mile/gallon

Ben's bike gave the best mileage

Answer:

SAS

Step-by-step explanation:

=================================================

Work Shown:

L = 165000 = loan amount or amount financed

r = 0.06725  = annual interest rate in decimal form

i = r/12 = 0.06725/12 = 0.005604167

i = 0.005604167 = approximate monthly interest rate in decimal form

n = number of months = 30*12 = 360 months

P = unknown monthly payment

--------------

Apply the monthly payment formula

P = (L*i)/( 1-(1+i)^(-n) )

P = (165000*0.005604167)/(1-(1+0.005604167)^(-360))

P = 1067.44636311118

P = 1067.45

Answer:

f(x)=(−1,−6)

g(x)=(−2/3,7/3)

Step-by-step explanation:

What are we finding the vertex

Answer:

A. -2x^2-2x-4

Step-by-step explanation:

:D

Answer:

294 cars

Step-by-step explanation:

hope this helpt touch thanks it my birth day

Answer:

Step-by-step explanation:

I'd like to begin by apologizing for the late reply.

PROCESS:

1) Begin by analyzing the triangle

2) Notice how you can take the sin of 30 to find the hypotenuse

3) sin30= 3/x

4) If you don't see how I did that, a fun trig word play for functions, is

S O/H

C A/H

T O/A

where

S= Sine

C= Cosine

T= Tangent

O= Opposite

H= Hypotenuse

A= Adjacent

so side opposite of 30 is side 3, and the hypotenuse is x.

5) sin30= 3/x = 6

6) Your answer, hypotenuse is 6

BONUS: If you want to find the base length, use Pythagorean theorem.

c=√a2+b2

b=√c2-a2= √6^2 - 3^2= 5.19 or 5.2

Answer:

x = 13

Step-by-step explanation:

The tirangle ABC is given as equilateral. Every angle is therefore =. Not only that, each angle is 60 degrees.

If you need proof of that, remember that x + x + x  = 180. Every triangle has 180 degrees.

if 3x = 180 then 1 x is 60

8x - 44 = 60       Add 44 to both sides.

8x = 60 + 44

8x = 104             Divide by 8

x = 104/8

x = 13

Answer:

Let's solve your inequality step-by-step.

3600+1.02x<2000+1.04x

Step 1: Simplify both sides of the inequality.

1.02x+3600<1.04x+2000

Step 2: Subtract 1.04x from both sides.

1.02x+3600−1.04x<1.04x+2000−1.04x

−0.02x+3600<2000

Step 3: Subtract 3600 from both sides.

−0.02x+3600−3600<2000−3600

−0.02x<−1600

Step 4: Divide both sides by -0.02.

−0.02x

−0.02

<

−1600

−0.02

x>80000

Step-by-step explanation:

Answer:

Clouds

Step-by-step explanation:

Since the heat cause the water to evaporate into water vapors.

Answer:

None.

Step-by-step explanation:

Where are the graphs? We need the extra information to complete this problem.

Answer:

1 x 40

Step-by-step explanation:

This question is incomplete

Isabelle is planning a road trip to her friend's house. She looks at a map that has a scale of 1/2 in. to 25 mi. The road distance between her home town and her friend's town measures 12 in. on the map. If d represents the road distance between the two towns, what is d?

Answer:

600 miles

Step-by-step explanation:

From the question:

1/2 inches = 25 miles

12 inches = x

1/2 × x = 25 × 12

x = (25 × 12) ÷ 1/2

x = 25 × 12 × 2

x = 600 miles

Therefore the road distance between two towns = 600 miles

Answer:

Concept: Mathematical Analysis

Answer:

[tex]a = -6, b = - 8[/tex]

Remaining factor = [tex]x+4[/tex]

Step-by-step explanation:

Given that:

Two polynomials:

[tex]x^{2} -x-2[/tex] and [tex]x^3 +3 x^2 +ax +b[/tex]

[tex]x^{2} -x-2[/tex] is a factor of [tex]x^3 +3 x^2 +ax +b[/tex].

To find:

The values of [tex]a[/tex] and [tex]b[/tex] from the cubic equation and the remaining factor.

Solution:

Let us first of all, factorize [tex]x^{2} -x-2[/tex].

[tex]x^{2} -2x+x-2=0\\\Rightarrow x(x-2)+1(x-2)=0\\\Rightarrow (x+1)(x-2)=0\\\Rightarrow x = -1, 2[/tex]

There are two factors of the given quadratic equation.

These two factors must also be factors of the cubic equation as well.

Putting [tex]x = 2[/tex]:

[tex]2^3 +3 \times 2^2 +a\times 2 +b =0\\\Rightarrow 2a+b=-20 ..... (1)[/tex]

Putting [tex]x = -1[/tex]:

[tex](-1)^3 +3 \times (-1)^2 +a\times (-1) +b =0\\\Rightarrow -a+b=-2 ..... (2)[/tex]

Subtracting (2) from (1):

[tex]3a = -18\\\Rightarrow a = -6[/tex]

From equation (1):

[tex]2\times (-6) + b=-20\\\Rightarrow b = -8[/tex]

Putting the values of [tex]a[/tex] and [tex]b[/tex] in the cubic equation, we get:

[tex]x^3 +3 x^2 -6x -8[/tex]

Dividing the cubic equation with quadratic, we get:

[tex]\dfrac{x^3 +3 x^2 -6x -8}{x^{2} -x-2} = x+4[/tex]

Answer:

87 degree

Step-by-step explanation:

interior angle is 180

So 56+37 = 93

180-93 = 87

Answer:

Step-by-step explanation:

we know that the sum of the angles in a triangle = 180 degrees

the third angle will be = 180-(56+37)=87

Answer:

c

Step-by-step explanation:

Answer:

What does the serving consist of?

Step-by-step explanation:

Answer:

it depends on what the servings are

Step-by-step explanation:

Answer:

slope is 1/3

Step-by-step explanation:

Answer: 1/3

Step-by-step explanation: slope is difference in y values over difference in x values

Answer:

B

Step-by-step explanation:

Answer:

figure a

Step-by-step explanation:

figure a is the only figure that has the same shape as the figure with the "*" next to it

Answer: I think it is A. It is the most likely to be compared to the star.

Step-by-step explanation: I hoped this helps

Answer:

$58

Step-by-step explanation:

Answer:

58

Step-by-step explanation:

82-24=58

Answer:

z = 2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

2z - 3 = 1

Step 2: Solve for z

Answer:The answer is : Expand the square

4(x+1)the second square - 49

4(x+1)x+1)-49

The solution is : 4x second square + 8x - 45

Step-by-step explanation:

Answer:

plz help

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

Hope I could help :)))