Find the measure of the indicated angle.
:)​

Answer:

We conclude that the interest rate required to  accumulate simple interest of $3,000 from a principal of $ 6,000.00  over 2 years is 25% per year.

Step-by-step explanation:

Given

Principle P = 6000

Time period t = 2 years

Interest I = 3000

To determine

Interest rate r = ?

Using the formula

I = Prt

r = I / Pt

substituting P = 6000 , t = 2, and  I = 3000

r = 3000 / ( 6000 × 2 )

r =  3000 / 12000

r = 0.25

convering the decimal into percentage: 0.25×100 = 25%

r = 25%

Therefore, we conclude that the interest rate required to  accumulate simple interest of $3,000 from a principal of $ 6,000.00  over 2 years is 25% per year.

Answer:

57

Step-by-step explanation:

a pec

Option A is correct, the value of y is 57 degrees in the triangle.

We have to find the value of y in the given triangle.

Initially let us find the adjacent angle or interior angle which is adjacent to 114 degrees.

We know the straight line has an angle of 180 degrees

114+x=180

x=66 degrees.

By angle sum property the sum of three angles is 180 degrees.

66+y+y=180

66+2y=180

Subtract 66 from both sides:

2y=180-66

2y=114

Divide both sides by 2:

y=57 degrees

Hence, the value of y is 57 degrees in the triangle.

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Answer:

h=12 + c=20

Step-by-step explanation:

a^2+b^2=c^2

9^2+h^2=15^2

15^2-9^2=h^2

225-81=h^2

144=h^2

[tex]\sqrt{144}[/tex] = h

12=h

a^2+b^2=c^2

16^2 + 12^2 = c^2

256+144=c^2

400=c^2

[tex]\sqrt{400}[/tex] = c

20=c

Let the first angle be x

So, second angle = (x+15)°

and third angle= (x+ 45)°

Now,

x+ (x+15) + (x+45)= 180°. ( Triangle sum property)

x+x+x+15°+45° = 180°

3x+ 60° = 180°

3x= 180°-60°

3x= 120°

x= 120°/3

x= 40°

Now,

first angle=x= 40°

second angle = (x+15)°= 40°+15° = 55°

third angle= (x+45)° = 40°+45° = 85°

Hope it helps you. Please mark as brainliest if it does.

Answer:

1/4

Step-by-step explanation:

3/4*3=9/12

1/3*4=4/12

9/12-4/12=5/12

 5/12*3/5=15/60

15/60=1/4 Simplified

Answer:

10x^2-10x+3

Step-by-step explanation:

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Answer:

The age of man is 42 years and the age of his son is 10 years.

Answer: Father 42 and son 10

Let the age of the father is x years and that of the son is y years.

Then by the given question,

x-2=5(y-2)

or, x-5y=-10+2

or, x-5y=-8

or, x=5y-8

x+2=3(y+2)+8

or, x-3y=6+8-2

or, 5y-8-3y=12

or, 2y=12+8

or, y=20/2

or, y=10

then x=5y-8=50-8=42

Then, the age of father is 42 yrs. and the age of sun is 10 yrs.

Answer:

60

Step-by-step explanation:

9/15 = 0.6

0.6 x 100 = 60

Answer:

60

Step-by-step explanation:

Let x be the number

15/100 * x  =  9

multiply by 100

15x = 900              Divide by 15

x = 900/15

x =  60

Answer:

(x, y) = (-2, -3)

WORK:

2x + 4y = -16  =

-2x + 2y = -2  =

(^ the two’s cancel out) =

6y = -18  =

(^ you need to divide 6 on both sides to get just y) =

6y/6 = -18/6  =

(^ the six’s cancel out) =

y = -3  =

(^ now you have to plug this in to get x) =

2x + 4(-3) = -16  =

2x - 12 = -16  =

(^ you need to add 12 on both sides to get rid of it on the left side to add it to -16 on the right side) =

2x = -4  =

2x/2 = -4/2  =

(^ now you divide 2 on both sides again to get just y, and they will cancel out) =

x = -2  =

THEREFORE YOU GET (-2, -3)

Answer:

I believe A because the grandmothers age affects how many boxs of candles Frank will buy. Hope this helps

Step-by-step explanation:

Answer:

Base of the triangle = 7 cm

Step-by-step explanation:

Given information,

→ Area of triangle = 35 cm

→ Height = 10 cm

Now we have to,

→ Find the base of the triangle.

Formula we use,

→ Area = ½ × b × h

Forming the equation,

→ (1/2) × b × 10 = 35

Then the value of b will be,

→ (1/2) × b × 10 = 35

→ (b × 10)/2 = 35

→ 10b/2 = 35

→ 10b = 35 × 2

→ 10b = 70

→ b = 70/10

→ [ b = 7 cm ]

Hence, the value of b is 7 cm.

Answer:

18ft

Step-by-step explanation:

Given data

Ratio of length to width = 5:3

Length = 30ft

Apply the part to part method

let the width be x

5/3= 30/x

cross multiply

5x= 30*3

5x= 90

x= 90/5

x=18 ft

Hence the width is 18ft

Answer:

can some one give the answer

Step-by-step explanation:

pls

Answer:

Its a or c sorry if im wrong

(hope this helps :D hehe)

Step-by-step explanation:

Answer:

Please insert a graph.

Step-by-step explanation:

If you submit a picture of the graph on here, I will see how how I can help.

Answer:

need to find the area of the circular dining room table which has a radius of 3 feet of each person sitting at the table needs about 2 feet of space how many people will fit at the table 3 feet of each person sitting at table needs about two feet of space than about five people will fit at the table

Answer:

[tex]x =-4y+32[/tex]

Step-by-step explanation:

Calculations:

[tex]y=-\frac{1}{4} x+8[/tex]

[tex]y-8=-\frac{1}{4}x[/tex]

[tex]x =-4y+32[/tex]

Answer:

Volume = 2,258.67 cm³

Step-by-step explanation:

Volume of the object = volume of hemisphere + volume of cylinder

= ⅔πr³ +πr²h

Where,

π = 22/7

r = 7 cm

h = 10 cm

Volume = (⅔*22/7*7³) + (22/7*7²*10)

Volume = 2,258.67 cm³

Answer:

10 + 30

Step-by-step explanation:

10-1(-30)

10+1(30)

10+30

Answer:

3x-x+6=0

2x+6=0

2x=-6

x= -6/2

x=. -4

Answer:

h=-18

Step-by-step explanation:

Here you go mate

Step 1

55 – -26h = -413  Question

Step 2

55 – -26h = -413

26h+55=-413

Step 3

26h+55=-413  Subtract 55

26h=-468

Step 4

26h=-468  Divide sides by 26

Answer

-18

Answer:

1080°

General Formulas and Concepts:

Math

Pre-Algebra

Order of Operations: BPEMDAS

Geometry

Step-by-step explanation:

Step 1: Define

We are given a 8 sided polygon (a octagon)

n = 8

Step 2: Find Sum

Answer:

3

hope it's helpful ❤❤❤

THANK YOU❤

Answer:

3(7 + 8) is a factored form

Answer: A. The probability of drawing a red tile is 36% and the probability of NOT drawing a red tile is 64%

Step-by-step explanation:

Number of red tiles = 9

Number of blue files = 10

Number of green tiles = 6

Total number of tiles = 9 + 10 + 6 = 25

Probability of drawing red tile = 9/25 = 0.36 = 36%

Probability of drawing blue tile= 10/25 = 0.40 = 40%

Probability of drawing green tile = 6/25 = 0.24 = 24%

Based on the explanation above, the correct answe is option A "The probability of drawing a red tile is 36% and the probability of NOT drawing a red tile is 64%".

Step-by-step explanation:

(3²)³ × 3^x = 3⁷ × 3³/3¹¹

3⁶ × 3^x = 3¹⁰/3¹¹

3⁶ × 3^x = 3^-1

3^x = 3^-1 / 3⁶

3^x = 3^-1 × 3^-6

3^x = 3^-7

x = -7

Answer:

Option (1)

Step-by-step explanation:

Vertex form of the quadratic equation is given by,

y = (x - h)² + k

Where (h, k) is the vertex.

From the graph attached,

Vertex of the parabola is (0, 4).

Therefore, equation of the parabola will be,

y = (x - 0)² + 4

y = x² + 4

Function representing the parabola will be,

f(x) = x² + 4

For the zeros of the quadratic function we find the value of x where f(x) = 0.

x² + 4 = 0

x² = -4

x = ±√(-4)

Since, square root of a negative number is not defined, zeros of the function will be imaginary.

Therefore, both the zeros will be imaginary.

It's clear from the graph, there are no x intercepts of the function Or zeros are imaginary.

Option (1) will be the answer.

Answer:

slope-intercept formula ----->  Y2-Y1/X2-X1

Step-by-step explanation:

X1= -5    X2= 1

Y1= -5     Y2= -3

-3+5/1+5=1/3