how do you solve 5(-2x -3

Answer:

20.78 feets

Step-by-step explanation:

Based on the solution diagram attached below :

The height at which the step ladder meets the house can be obtained thus :

Using trigonometry :

Sin θ = opposite / hypotenus

Sin θ = h / 24

Sin 60 = h / 24

0.8660254 = h/24

Height, h = 0.8660254 * 24

Height, h = 20.78 feets

Step-by-step explanation:

11.68-0.48

= 11.20

11.20÷1.6

= 7.0 or 7

ahh this is the correct answer.

so if it helps don't forget to like and Mark me.

Given:

Point F,G,H are midpoints of the sides of the triangle CDE.

[tex]FG=9,GH=7,CD=24[/tex]

To find:

The perimeter of the triangle CDE.

Solution:

According to the triangle mid-segment theorem, the length of the mid-segment of a triangle is always half of the base of the triangle.

FG is mid-segment and DE is base. So, by using triangle mid-segment theorem, we get

[tex]\dfrac{1}{2}DE=FG[/tex]

[tex]DE=2(FG)[/tex]

[tex]DE=2(9)[/tex]

[tex]DE=18[/tex]

GH is mid-segment and CE is base. So, by using triangle mid-segment theorem, we get

[tex]\dfrac{1}{2}CE=GH[/tex]

[tex]CE=2(GH)[/tex]

[tex]CE=2(7)[/tex]

[tex]CE=14[/tex]

Now, the perimeter of the triangle CDE is:

[tex]Perimeter=CD+DE+CE[/tex]

[tex]Perimeter=24+18+14[/tex]

[tex]Perimeter=56[/tex]

Therefore, the perimeter of the triangle CDE is 56 units.

Answer:

D. [tex]\frac{2x+1}{x-8}[/tex]

Step-by-step explanation:

[tex]\frac{x+1}{x-8} - \frac{x}{8-x} = \\\\\frac{x+1 + x}{x-8} = \\\\\frac{x+1}{x-8} +\frac{x}{x-8} =\\\\\frac{x+1+x}{x-8} =\\\\\frac{2x+1}{x-8}[/tex]

Correct choice is D

Answer:

x = 66°

∠MON = 57°

x = 13°

Step-by-step explanation:

To tired to explain, just take my word for it...

Answer:

1.

X=66

2.

57

3.

13

Step-by-step explanation:

Good luck .

Answer:

1st Question: D

2nd Question: Is either C or D

Hope this helps :)

Answer:

D.)

No. There are only 12 bolts that have lengths greater than 1 inch, which is not enough.

Step-by-step explanation:

Based on information provided by the dot plot above, we can deduce that the number of bta longer Than 1 inch are those with length ; 1 1/8, 1 3/8, 1 4/8

Counting the number of these bolts :

1 1/8 = 5 bolts

1 3/8 = 3 bolts

1 4/8 = 4 bolts

Hence, total number of bolts longer Than 1 inch :

(5 + 3 + 4). = 12 bolts

The number of bolts longer than 1 inch is 16. Therefore, he does not have enough bolt for the project.

Answer:

4

Step-by-step explanation:

Answer:30

Step-by-step explanation:

Answer:

area = 779.4 cm²

Step-by-step explanation:

divide it into 6 equal equilateral triangles. Each corner of a triangle will be 60°.

tan 60° = 15/x

1.7321 = 15/x

x = 8.66 (this is one-half of the base of the triangle)

base = 17.32 cm

area of one triangle = 1/2(17.32)(15) = 129.9 cm²

129.9(6) = 779.4 cm²   (because 6 triangles make up the hexagon)

The graph of  y=-x^2-12x-35 is attached and it has x intercepts at x=-7 and x=-5 and vertex is at (6, -107).

A quadratic equation is a second-order polynomial equation in a single variable x , ax²+bx+c=0. with a ≠ 0 .

To graph the equation y=-x^2-12x-35, we can start by finding the x-intercepts (or roots) and the vertex of the parabola.

To find the x-intercepts, we can set y=0 and solve for x:

0 = -x² - 12x - 35

Using the quadratic formula, we get:

x=-b±√b²-4ac/2a

x=12±√144-140/2(-1)

x=12±√144-140/(-2)

x=12±2/(-2)

The x-intercepts are approximately x=-7 and x=-5

To find the vertex, we can use the formula x=-b/2a to get the x-coordinate, and then substitute it into the equation to get the y-coordinate:

x = -b / 2a = -(-12) / 2(-1) = 6

y = -x² - 12x - 35 = -(6)^2 - 12(6) - 35 = -107

So the vertex is at (6, -107).

Hence, the graph of  y=-x^2-12x-35 is attached and it has x intercepts at x=-7 and x=-5 and vertex is at (6, -107).

To learn more on Quadratic equation click:

https://brainly.com/question/17177510

#SPJ2

Answer:

30 minutes

Step-by-step explanation:

6=45

4=x

6x2/3=4

45x2/3=30

x=30

Answer:

66 minutes

Step-by-step explanation:

Answer: your answer is C.  there is no common factor between 6 and 15.

Answer:

the answer is D 9w=21

how

21/9 = 2.3333333333

Step-by-step explanation:

Answer:

24 beach toys

Step-by-step explanation:

We don't know how many beach toys Theo has, but we know that 6 of his friends each got 4 toys. The equation could be set up as x/6 = y, where x is equal to the total amount of toys Theo had, and y is equal to the amount of toys each friend received. We know that y = 4, so now you could say x/6 = 4, and now using opposite operations, 6 × 4 = 24, hence Theo had 24 toys.

Hope this helps!!

Answer:

874

Step-by-step explanation:

702 is correct

quick mathz

Answer:

95

Step-by-step explanation:

Answer:

95°

Step-by-step explanation:

it is five away from  90° so 95°

Give Brainllest plz

Answer:

21

Step-by-step explanation:

2(2) +7

14+7

21

Answer:

11

Step-by-step explanation:

Answer:

(a) The probability that more than three arrive in one hour is approximately 0.018988

(b) The probability that no interval contains more than 3 arrivals in 30 separate one-hour intervals is approximately 0.56264

(c) The length of time such that the probability of no arrival is 0.1 is approximately 2.30259 hours

Step-by-step explanation:

The distribution of the arrival time of a small aircraft = Exponential distribution

The mean arrival time, μ = 1 hour

The pdf of a exponential distribution, f(x) = λ·e^(-λ·x)

The mean, μ = 1/λ

∴ 1 = 1/λ

λ = 1 hour

∴ For the exponential distribution, f(x) = 1·e^(-x)

(a) The Poisson probability is given as follows;

[tex]P(X = k) = \dfrac{\lambda^k \times e^{-k}}{k!}[/tex]

The probability for more than 3 is given as follows;

[tex]P(X > 3) = 1 - \dfrac{1^0 \times e^{-1}}{0!} - \dfrac{1^1 \times e^{-1}}{1!} - \dfrac{1^2 \times e^{-1}}{2!} - \dfrac{1^3 \times e^{-1}}{3!} \approx 0.018988[/tex]

(b) P(X ≤ 3) for 30 1 hour intervals = P(X ≤ 3)³⁰ = (1 - 0.018988)³⁰ ≈ 0.56264

(c) When the probability that no arrival occurs is 0.1, we have;

0.1 P(X > x) = f(x) = 1·e^(-x) = e^(-x)

-x·ln(e) = ln(0.1)

∴ x = -㏑(0.1) ≈ 2.30259

The length of time such that the probability that no arrival occur during the interval is 0.1, x ≈ 2.30259 hours.

Answer:

300.57 m

Step-by-step explanation:

Answer:

1325 divided by 13 is 101.92 rounded to the nearest hundredth

Step-by-step explanation:

I'm not sure what the question is asking though.

Answer:

1.34

Step-by-step explanation:

Answer:

4(x + 1)^2 - 12.

Step-by-step explanation:

f(x) = 4x^2 + 8x - 8

f(x) = 4(x^2 + 2x) - 8

f(x) = 4[(x + 1)^2 - 1) - 8

f(x) = 4(x + 1)^2 - 4 - 8

f(x) = 4(x + 1)^2 - 12.

Answer:

63 in³

Step-by-step explanation:

Volume = l×w×h

2¼ = 9/4

8 = 8/1

3½ = 7/2

V = 9/4 × 8/1 × 7/2

= 504/8

= 63

So, the answer is 63 in³.

Answer:

A. 1,350 mm 2

Step-by-step explanation:

Answer:

W = 7

Step-by-step explanation:

Answer:

The system of linear equations consist of parallel lines

Step-by-step explanation:

Here, we want to classify the system of linear equations

Firstly, let us write both in the standard forms

For the first;

y = 3x + 2

For the second;

y = 3x-1

The general form of a linear equation is;

y = mx + b

where m is the slope and b is the y-intercept

In both cases, m = 3 and that means the slope is the same

When two lines have same slope values, they are said to be parallel to each other