If x = 8 units, y = 3 units, and h = 9 units, find the area of the trapezoid shown above using decomposition.
A.
72 square units
B.
85.5 square units
C.
99 square units
D.
126 square units

Answer: Hammer reaches river after 15.8 seconds.

Step-by-step explanation:

Use formula: t = square root of h divided by 4. In this problem h = 4,000.

Therefore,

T = square root of 4,000 divided by 4.

T = 15.8 seconds

Answer:

Step-by-step explanation:

The measures of the angles are 2x, 5x, and 5x.

2x+5x+5x = 180°

12x = 180°

x = 15°

2x = 30°

5x = 75°

The ratio of the angles are 30:75:75

Answer:

D. Systematic sampling

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

Answer:

C. Segment AC

Step-by-step explanation:

I am going to figure all the angles first. Triangles always add up to 180 degrees so I am going to use that.

50 + 49 = 99

180 - 99 = 81

<C = 81°

99 + 37 = 136

180 - 136 = 44

<A = 44°

The shortest segment is always going to be opposite the smallest angle. The smallest angle is 37°. Therefore, Segment AC is the shortest.

Answer:

y=15x+5

Step-by-step explanation:

Answer:

[tex]Solution,\\f(x+3)=f(x)+f(3).......(1)\\Put~x=0~in~eq^n~(1),\\f(0+3)=f(0)+f(3)\\or, f(3)=f(0)+f(3)\\or, f(0)=0.........(2)\\Now,\\Put~x=-3~in~eq^n(1),\\f(-3+3)=f(-3)+f(3)\\or, f(0)=f(-3)+f(3)\\From~eq^n(2),\\0 = f(-3)+f(3)\\or, f(-3)=-f(3)~proved[/tex]

Answer:

4.75 years are required to triple the population

Step-by-step explanation:

As we know

[tex]\frac{dP}{dt} = P\\[/tex]

Integrating both the side with respect to t we get

[tex]ln P = kt + c_1\\P = e^{kt + c_1}\\P = Ce^{kt}[/tex]

At t = 0, P = P0

[tex]2 P_0 = P_0 * e ^{3k}\\2 = e ^{3k}\\ln 2 = 3k\\k = 0.231\\[/tex]

substituting K value in main equation, we get -

[tex]P = P_0 * e^{0.231 * t}\\3P_0 = P_0 * e^{0.231 * t}\\3 = e^{0.231 * t}\\ln 3 = 0.231 * t\\t = 4.75[/tex]

4.75 years are required to triple the population

Answer:

y=-1/2x+1

Step-by-step explanation:

Answer:

n ≈ 8.54

Step-by-step explanation:

Reference angle = 30°

Opposite side = n

Adjacent side = 14.8

Apply TOA, which is:

Tan 30 = opp/adj

Tan 30 = n/14.8

Multiply both sides by 14.8

14.8×tan 30 = n

8.54478398 = n

n ≈ 8.54 units (to 2 dp)

Answer:

Your answer is 5009.2

Upvote it. Welcome

Answer:

5009,206

Step-by-step explanation:

Hope this helped!

Answer:

La Comunidad A deberá aportar $60,000, la Comunidad B deberá aportar $120,000 y la Comunidad C deberá aportar $180,000. Cada Comunidad aportará $500 por persona.

Step-by-step explanation:

Dado que la obra de drenaje tiene un costo de materiales de $360,000, y que dicho costo será soportado por cada comunidad en proporción a sus habitantes, sabiendo que en la comunidad A hay 120 habitantes; en la comunidad B 240 y en la comunidad C 360, para determinar con cuánto dinero debe cooperar cada una se debe realizar el siguiente cálculo:

120 + 240 + 360 = 720

C = 1/2 x 360,000 = 180,000

B = 1/3 x 360,000 = 120,000

A = 1/6 x 360,000 = 60,000

Así, la Comunidad A deberá aportar $60,000, la Comunidad B deberá aportar $120,000 y la Comunidad C deberá aportar $180,000.

A su vez, la aportación por persona en las tres comunidades surge del siguiente cálculo:

360,000 / 720 = 500

Así, cada comunidad aportará $500 por persona.

To answer this question we're going to need to use the distance formula, which is

d = √((x2 - x1)2 + (y2 - y1)2)

We are given two points:

(x1, y1) = (-2, 1)

(x2, y2) = (-5, 3)

d = √((-5 - (-2))2 + (3 - 1)2)

= √((-3)2 + (2)2)

= √(9 + 4)

= √(13)

≈ 3.6056

Since it says to round to the nearest tenth, the distance between the 2 points is

3.6 units

d=3.6

Answer:

=−2x^2−9x−10

Step-by-step explanation:

would you like an explantion or are you good

Hey blink!!!!!!! second one is your answer

AB=8.7 cm. Work out the length of BC. ... 1. Adi. Diagram NOT accurately drawn. POR is a triangle. Angle Q = 90° ... Give your answer correct to 1 decimal place. ton o. Ady ... Ad. POR is a right-angled triangle. PR = 12 cm. OR = 4.5 cm. Angle PRO = 90°. ... AB= 7 cm. BC = 12 cm. Angle BAD= 65°. Calculate the length of AC.

Answer: (-7, 4)

1- the x-coordinate of the reflected point is the same as the x-coordinate of the original point

2- the y-coordinate of the reflected point has the same value but opposite sign of the y-coordinate of the original point

Yes, the fraction 1.75 is greater than the 1.5.

In mathematics, a fraction is a numerical value that expresses a portion of a total. The term "whole" can refer to any number, a certain value, or an object. The fraction symbol is written as p/q. For instance, 1/4, 1/2, 3/4, and so forth.

Two whole numbers (the fraction terms) separated by a horizontal line are used to calculate the fractional numbers (the fraction line).

In this Question, the fraction is represented as a decimal number. Since

the number before the decimal is the same. Thus we will compare the value of the number that is after the decimal. here we can see 75 is greater than 50.

Therefore, It is true that the fraction 1.75 is larger than 1.5.

Learn more about fraction numbers here:

https://brainly.com/question/29964611

#SPJ2

Answer:

0.25 = 25% probability that it will rain today and ruin your picnic

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Cloudy skies

Event B: Rain

20% of all days start with clouds in the air

This means that [tex]P(A) = 0.2[/tex]

50% of rainy days start with rain clouds in the air

50% of 10%. So

[tex]P(A \cap B) = 0.5*0.1 = 0.05[/tex]

What is the probability that it will rain today and ruin your picnic

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.05}{0.2} = 0.25[/tex]

0.25 = 25% probability that it will rain today and ruin your picnic

Step-by-step explanation:

all the explanation is in the photo

Hope it helps

Have a good day Ahead

Answer:

the answer will be 27

Step-by-step explanation:

Answer:

[tex]a = 8.5t[/tex]

[tex]y = 32.55[/tex]

Step-by-step explanation:

Solving (9): The equation of the table

We start by calculating the slope (m)

[tex]m = \frac{a_2 - a_1}{t_2 - t_1}[/tex]

Where:

[tex](t_1,a_1) = (15,127.5)[/tex]

[tex](t_2,a_2) = (16.5,140.25)[/tex]

[tex]m = \frac{140.25 - 127.5}{16.5 - 15}[/tex]

[tex]m = \frac{12.75}{1.5}[/tex]

[tex]m = 8.5[/tex]

The equation is then calculated using:

[tex]a = m(t - t_2) + a_2[/tex]

So, we have:

[tex]a = 8.5(t - 16.5) + 140.25[/tex]

Open bracket

[tex]a = 8.5t - 140.25 + 140.25[/tex]

[tex]a = 8.5t[/tex]

Solving (10):

[tex]4.8y = 156.24[/tex]

Required

Find x

Divide both sides by 4.8

[tex]y = 32.55[/tex]

Answer:

1. Yes

2. No

3. yes

4. yes

Answer:

ok I will try and tell you

Answer:

34.5

Step-by-step explanation:

Given the data:

X : 18; 18; 21; 22; 25; 26; 27; 29; 30; 31; 31; 33; 36; 37; 37; 41; 42; 47; 52; 55; 57; 58; 62; 64; 67; 69; 71; 72; 73; 74; 76; 77.

The 37th Percentile :

37/100(n + 1)th term

n = sample size = 32

Therefore,

0.37(32 + 1)th term

0.37(33)th term = 12.21 th term

(12th + 13th) term ÷ 2

(33 + 36) / 2

69 / 2

34.5

The 37th percentile is 34.5