Geometry student reference sheet

Answer:

C

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

The last one is absurd. You can't have a ladder reaching higher than itself. The question is a Pythagorean problem.

Givens

a = 3

b = ?

c = 25 feet

Formula

a^2 + b^2 = c^2

Solution

3^2 + b^2 = 25^2

9 + b^2 = 625                  Subtract 9 from both sides.

b^2 = 625 - 9

b^2 = 616                        Take the square root of both sides.

b = sqrt(616)

b = 24.8

Answer:

36

Step-by-step explanation:

To find area you multiply length×width which is the same as 9×4

9×4= 36

Answer:

36 centimeters

Step-by-step explanation:

A = l x w

A = 9 x 4

A = 36

Step-by-step explanation:

initial velocity is 0

time is 4 seconds

acceleration is 7.5mper second square

using the formula s=ut+1/2at^2[distance equal to initial velocity times time plus half into acceleration times (time )squared] substitute s=0×4+2×7.5 ×4^2

s=0+7.5×16

s=120m

Answer:

12 hours.

Step-by-step explanation:

Answer: 6 years

Step-by-step explanation:

The formula for the Simple interest is given as: = PRT

Since we've been given some values already, we slot it into the formula and this will be:

Interest = PRT

78.12 = 217 × 6% × T

78.12 = 217 × 0.06 × T

78.12 = 13.02T

T = 78.12/13.02

T = 6

Time = 6 years

Answer:

49

Step-by-step explanation:

PLease mark brainliest

Complete question :

From the set {24, 36, 72}, use substitution to determine which value of x makes the inequality true.

x ÷ 12 < 3

Answer:

24

Step-by-step explanation:

Given the inequality : x ÷ 12 < 3

Substitute the values in the set for X and test the inequality expression if it hoods true for each of the substituted value.

x = 24

24 ÷ 12 < 3

2 < 3 (true)

x = 36

36 ÷ 12 < 3

3 < 3 (false)

x = 72

72 ÷ 12 < 3

6 < 3 (false)

Answer:

8n - 15

Step-by-step explanation:

for finding the nth term we need to figure out the difference between the numbers:

3,11,19 = difference of 8

multiples of 8:

8,16,24,32,40...

the nth term would be 8n - 5 because in order to get to 3 from 8, we minus 5

Answer:

Step-by-step explanation:

(x^2+8x+8)+(-10x^2+5x) = (x^2-10x^2) + (8x+5x) + 8

= -x^2 +13x + 8

Answer:

-9x^+13x+8

Step-by-step explanation:

Answer:

yes, but there is a better way

Step-by-step explanation:

instead of multiplying x+3 on both sides, I would instead subtract 2 on both sides. If you do this, it would be easier to write this equation in standard form and find the intervals.

In summary, to solve the inequality (x - 2)/(x + 3) ≥ 2, we can multiply both sides of the inequality by x + 3 only when x > -3 to preserve the direction of the inequality.

To solve the inequality (x - 2)/(x + 3) ≥ 2, we need to consider the impact of multiplying both sides of the inequality by x + 3.

When multiplying both sides of an inequality by a positive number, the direction of the inequality remains the same. However, if we multiply both sides by a negative number, the direction of the inequality is reversed.

In this case, the expression x + 3 is in the denominator of the left side of the inequality. If we multiply both sides of the inequality by x + 3, we need to consider two scenarios:

If x + 3 is positive: In this case, we can multiply both sides of the inequality by x + 3 without changing the direction of the inequality.

If x + 3 is negative: Multiplying both sides of the inequality by x + 3 would require flipping the direction of the inequality.

Therefore, we need to ensure that x + 3 is positive before multiplying both sides by x + 3 to preserve the direction of the inequality.

To determine when x + 3 is positive, we set the denominator equal to zero and solve for x:

x + 3 = 0

x = -3

So, if x > -3, then x + 3 is positive.

In summary, to solve the inequality (x - 2)/(x + 3) ≥ 2, we can multiply both sides of the inequality by x + 3 only when x > -3 to preserve the direction of the inequality.

To know more about  "inequality."  here

https://brainly.com/question/25944814

#SPJ2

Answer:

39.3

Step-by-step explanation:

NEVER GONNA GIVE YOU NEVER GONNA LET YOU DOWN

Answer:

2x(x - 3)²

Step-by-step explanation:

We can simplify this a lot by first factoring 2x out of each term:

2x³ - 12x² + 18x

= 2x(x² - 6 + 9)

We can then factor the trinomial fairly easily, as it's a perfect square:

= 2x(x - 3)²

Answer:

E  

A two-sample  t -interval for a difference between population means

Step-by-step explanation:

i just took the test

The appropriate inference procedure for analyzing the results of the investigation is option E. A two-sample t-interval for a difference between population means

Since the researcher selected a sample of 80 batters from summer baseball leagues and batters assigned to one of the two groups. So this means that the researcher is interested to know whether the mean no of hits should be different for two groups and both groups are independent to each other.

Therefore, The appropriate inference procedure for analyzing the results of the investigation is option E. A two-sample t-interval for a difference between population means

learn more about mean here: https://brainly.com/question/10132345

Answer:

I think 80

Step-by-step explanation:

2*5=10

800/10 = 80

80 soups

Answer:

x ≥ 1

Step-by-step explanation:

3 + 4x ≥ 7

3 - 3 + 4x ≥ 7 - 3

4x ≥ 4

4x / 4 ≥ 4 / 4

x ≥ 1

Answer:

sin62=BD/AB

BD=Sin62×AB

BD=Sin62×15

BD=13.24

ALSO,

Tan C = BD/BC

Tan C = 13.24/24

Tan C = 5.51 / 10

C = Tan^-1 ( 5.51 / 10 )

Answer:

∠BCD = 29°

Step-by-step explanation:

sin 62 = BD/15

0.8829 = BD/15

BD = 13.24

tan ∠BCD = 13.24/24 = 0.5517

∠BCD = 29°

Answer:

its 2n / 3 i hope it helped u thanks

Answer:

5: 2 or 10: 4

Step-by-step explanation:

as a ratio, this would be 5: 2.

Im not sure if it's asking you to also make a new ratio that fits this, but if it is you could multiply both sides by 2 to get

10 : 4

Answer:

15? i'm not too sure, the wording is throwing me off

Step-by-step explanation:

Answer:

15 dogs

Step-by-step explanation:

dogs : cats : rabbits

5 : 2 : 1

? : ? : 3

1 rabbit = 2 cats

2 cats = 5 dogs

1 rabbit = 2 cats

2 rabbits = 4 cats

3 rabbits = 6 cats

2 cats = 5 dogs

4 cats = 10 dogs

6 cats = 15 dogs

Answer:

Step-by-step explanation:

Distance between (1,7) and (1,4) = 3

Length of adjacent side = area/3 = 2

Remaining vertices: (3,7) and (3,4), or (-1,7) and (-1,4)

Answer:

b

Step-by-step explanation:

Answer:

16/19 students

New Answer:

3/5 students

Step-by-step explanation:

Answer:

El ángulo de inclinación de la alberca es aproximadamente 12.407º.

Step-by-step explanation:

Puesto que conocemos la distancia horizontal ([tex]l[/tex]) y la variación en la profundidad ([tex]h[/tex]) de la alberca, en metros, podemos emplear la siguiente razón trigonométrica para calcular el ángulo de inclinación de la alberca ([tex]\alpha[/tex]), en grados sexagesimales:

[tex]\alpha = \tan^{-1}\left(\frac{h}{l} \right)[/tex] (1)

Si sabemos que [tex]l = 10\,m[/tex] y [tex]h = 2.20\,m[/tex], entonces el ángulo de inclinación de la alberca es:

[tex]\alpha \approx 12.407^{\circ}[/tex]

El ángulo de inclinación de la alberca es aproximadamente 12.407º.

Let the number be x.

13 + 5x < 30

5x < 30 - 13

5x < 17

x < 17/5

Step-by-step explanation:

let number be x

equation= 13 + 5x =or<30

if 13+5x=30

5x=17

x=3.4

Answer:

480 students are transported to school each day.

Step-by-step explanation:

Since there are 12 buses and each one of them transports 40 students that means that the total amount of students will be equal to...

12 x 40 = 480