find three consecutive odd integers such that the sum of the last two is 15 less than 5 times the first​

Answer:

150 grados

30 grados

Step-by-step explanation:

Sea x la medida del primer ángulo

Sea la medida del segundo ángulo y

Según la pregunta;

x + y = 180 -------- (1)

De la segunda oración;

x = 0,2 años -------- (2)

Sustituyendo (2) en (1)

0,2 años + y = 180

1,2 años = 180

y = 180 / 1,2

y = 150 grados

Pero;

x = 0,2 años

Entonces

x = 0,2 (150)

x = 30 grados

Por eso;

y = 150 grados

x = 30 grados

Answer:

A subject and a predicate

Step-by-step explanation:

Have a good day :)

Answer:

1280

Hope this helped :D

Answer:

x= -3

y= 2

Hope it helps :D

Answer:

its A

Step-by-step explanation:

on edge  2021

Answer:

15.2 cm, 130 m

Step-by-step explanation:

1. The sine of angle Z is XY/17.4; (opposite/hypotenuse);

sin(61) = XY/17.4; multiply both sides by 17.4 to find XY

17.4sin(61) = 15.2 cm

2.

This triangle is made by the anchor of the balloon to the ground, the balloon, and the area on the ground directly below the balloon.

The hypotenuse of the triangle is the 170 m string.

The angle of inclination is 50 degrees.

The height of the triangle will be opposite of the angle of inclination.

Therefore,

sin(50) = height/170 (opposite/hypotenuse)

170sin(50) = 130.2 meters

Answer:

M = 6

N= 7

Step-by-step explanation:

M + 7 = 3

M= 6

6 + 7 = 13, so we get 3 and carry 1

Now 1 + 4 + N = 12

1 + 4 + 7  = 12

So N = 7

Therefore,

46 + 77 = 123

Answer:

i think there's zero solutions

Answer:

Compound interest = Rs 1,575 (Approx.)

Step-by-step explanation:

Given:

Amount invested = R.s 6,500

Rate of interest = 7.5% per annum

Number of year = 3 year

Find:

Amount of compound interest

Computation:

Compound interest = P[(1+r)ⁿ - 1]

Compound interest = 6500[(1+7.5%)³ - 1]

Compound interest = 6500[(1+0.075)³ - 1]

Compound interest = 6500[(1.075)³ - 1]

Compound interest = 6500[1.2423 - 1]

Compound interest = 6500[0.2423]

Compound interest = 1574.95

Compound interest = Rs 1,575 (Approx.)

Answer:

See Explanation

Step-by-step explanation:

Given

Lines GF, CD and AB

Required

Relationship between GF and CD

The question is incomplete, as there is no attachment to support the given parameters.

The general solution goes thus:

(a) CD and GF perpendicular to AB

If two lines are perpendicular to another line; then the two lines are parallel to each other.

This means that CD and GF are parallel, and they have the same slope

(b) CD is not perpendicular to AB

Here, we know that GF is perpendicular to AB, CD is not;

This means that GF and AB are not parallel.

More information is needed to determine the actual relationship between GF and AB; but for sure, they are not parallel.

Answer:

(1,4)

Step-by-step explanation:

Answer:

Relative frequency of selecting a 2 = 8/50 = 0.16

Relative frequency of selecting a 3 = 14/50 = 0.28

Step-by-step explanation:

When we have a given experiment with given outcomes (such that each time that we perform the experiment, one outcome happens) the relative frequency of a given outcome is the quotient between the number of times that that outcome happened, and the total number of times that the experiment was performed.

Here the experiment is selecting a random number between 1 and 5, and it is performed 50 times.

Out of these 50 times, the outcome "2" appears 8 times.

Then the relative frequency of selecting the number 2 is:

f(2) = 8/50 = 0.16

And of these 50 experiments, the outcome "3" appears 14 times.

Then the relative frequency of selecting the number 3 is:

f(3) = 14/50  = 0.28

Answer:

Let's add the total skittles to get our outcome:

25 in total.

5(red skittles)/25(total skittles in all)

7(yellow skittles)/24(total skittles in all NOW since you took a red skittle)

So therefore your expression is:

5/25 x 7/24

Complete Question

A cylinder is eight inches high with a radius of three inches.It contains a ball with a diameter of five inches. What volume is left unoccupied in the cylinder?

Answer:

160.74 cubic inches

Step-by-step explanation:

Step 1

Find the volume of cylinder

= πr²h

A cylinder is eight inches high with a radius of three inches.

Height = 8 inches

Radius = 3 inches

Volume of the cylinder = π × 3² × 8

= 226.19 cubic inches

Step 2

Find the volume of sphere

= 4/3 π r³

It contains a ball with a diameter of five inches.

Diameter = Radius /2 = 5/2 = 2.5 inches

Volume of the Sphere = 4/3 × π × 2.5³

= 65.45 cubic inches

Step 3

What volume is left unoccupied in the cylinder?

This is calculated as:

Volume of Cylinder - Volume of sphere

= 226.19 cubic inches - 65.45 cubic inches

= 160.74 cubic inches

Therefore, the volume is left unoccupied in the cylinder is 160.74 cubic inches

Answer:

24

Step-by-step explanation:

You need to plug in 3 for all of the x-values

That looks like 2(3)^2 + 5(3) - 9

Then if you simplify it is 2(9) + 15 - 9

Then simplify one last time and you get a final answer of 24

[tex]_____________________________________[/tex]

[tex] \\ \tt ( - \frac{ 5 \sqrt{97} }{4} ,0),( - \frac{5 + \sqrt{97} }{4} ,0)[/tex]

[tex]\tt(0, - 9)[/tex]

[tex]_____________________________________[/tex]

how many hours do they work? Please be more spesific

Answer:

The answer is 760

Step-by-step explanation:

If you make $9.50 an hour with 8 hours a day and 40 hours a week you multiply the 9.50 with 40 to get 380. Now, you have the total for one week you can double it to get the pay for two weeks which come out to 760.

Answer:

2) -1

Step-by-step explanation:

Answer:

the answer is 2. -1...............

Answer:

32.9 inches

Step-by-step explanation:

this can be solved using Pythagoras theorem

The Pythagoras theorem : a² + b² = c²

where a = length

b = base = 49

c =  hypotenuse = diagonal = 59

l² + 49² = 59²

l² = 59² - 49²

3481 - 2401 = 1080

find the square root

32.9 in

Answer:

$450

Step-by-step explanation:

that's the right answer

Answer:

The answer is option c) 56.5 ft²

Step-by-step explanation:

Area of shaded region =

Area of Big Circle - ( Area of 1st small circle+ Area of 2nd small circle )

Area of 1st small circle:

π x r²

r = 3ft

Area =  3.14 x 3 x 3 => 28.26 ft²

Area of 2st small circle:

π x r²

r = 3ft

Area =  3.14 x 3 x 3 => 28.26 ft²

Area of big circle:

π x r²

r = 6ft ( ∵ Diameter of 1st small circle = 6 and since 2 small circles have equal area, their diameter should be the radius of big circle )

Area =  3.14 x 6 x  6 => 113.04 ft²

Area of shaded region => 113.04 - (28.26 + 28.26 )

=> 113.04 - 56.52

=> 56.52 ft²

Answer:

5^3

Step-by-step explanation:

First, find 5 to the 8th power:

5 x 5 x 5 x 5 x 5 x 5 x 5 x 5 = 390, 625

Then, find 5 to the 5th power:

5 x 5 x 5 x 5 x 5 = 3,125.

Finally, divided the two numbers:

390, 625/3,125 = 125

Now, right this as a power:

5^3

Answer:

226

Step-by-step explanation:

Area of rectangle:

x+6=17

x=11

11+6=17

11+3=14

17×14=238

Area of triangle:

[tex] \frac{1}{2} \times b \times h[/tex]

Use phytagoras theorem to find the base of the triangle:

c²=a²+b²

5²=4²+b²

25=16+b²

b²=25-16

b²=9

b=√9

b=3 (only the half)

b=6 (the whole base)

[tex] \frac{1}{2} \times 6 \times 4[/tex]

3×4

12

Shades region:

238-12

=226

Answer:

It's the first graph

Step-by-step explanation:

Answer:

the answer is 33

Step-by-step explanation:

for every 2 Illustrations there are 3 texts meaning if there is 22 Illustrations there would be 33 texts

Answer:

33 text

Step-by-step explanation:

Text : illustrations

3                 2

For every 3 text, there are 2 illustrations

We have 22 illustrations so we need to multiply by 11

Text : illustrations

3*11            2*11

33                  22

We need 33 text

Answer:

n = 2.43 moles

Step-by-step explanation:

Given mass, m = 97.37 grams

The mass of Argon is, M = 39.948 g/mol

We know that,

No. of moles = given mass/molar mass

[tex]n=\dfrac{97.37}{39.948}\\\\n=2.43\ moles[/tex]

Hence, there are 2.43 moles of Argon.

Answer:

8

Step-by-step explanation:

All you have to do is plug in 1 for the x value, which leaves you with the equation 7(1-1) + 8, then you simplify it to be 7(0) + 8

7 times 0 is 0, so you are left with 8 as your answer

Answer:

5/4

Step-by-step explanation:

see steps below:)

Answer:

Complementary angels are basically two angles that add up to 90 degrees. Supplementary angles are two angles that add up to 180 degrees.

Step-by-step explanation:

(self-explanatory)

I hope this helps, have a nice day.

Answer:

5.7

Step-by-step explanation:

7^2- 4^2= 33

[tex]\sqrt{33}[/tex]= 5.7

Answer:

[tex]\displaystyle \lim_{x \to -8} f(x) = 1[/tex]

General Formulas and Concepts:

Calculus

Limits

Limit Rule [Constant]:                                                                                             [tex]\displaystyle \lim_{x \to c} b = b[/tex]

Limit Rule [Variable Direct Substitution]:                                                             [tex]\displaystyle \lim_{x \to c} x = c[/tex]

Limit Property [Addition/Subtraction]:                                                                   [tex]\displaystyle \lim_{x \to c} [f(x) \pm g(x)] = \lim_{x \to c} f(x) \pm \lim_{x \to c} g(x)[/tex]

Step-by-step explanation:

*Note:

When you graph the function, the left-hand and right-hand limit does equal the same.

Step 1: Define

[tex]\displaystyle f(x) = \left \{ {{x + 9, x < -8} \atop {-7 - x, x \geq -8}} \right.[/tex]

Step 2: Find Limit

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Limits