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Eddi Din [679]
3 years ago
11

A pool company is creating an image for a dient that has the look of a 3-D image for a family pool and a similar dop pool. Find

the value of x in the drawing below:

Mathematics
1 answer:
Evgesh-ka [11]3 years ago
5 0

Answer:

x = 8

Step-by-step explanation:

Since both pools are similar, it follows that their side lengths are proportional.

Therefore:

\frac{BC}{FG} = \frac{AD}{EH}

BC = 4

FG = 3

AD = x

EH = 6

Plug in the values

\frac{4}{3} = \frac{x}{6}

Multiply both sides by 6

\frac{4}{3}*6 = \frac{x}{6}*6

\frac{24}{3} = x

8 = x

x = 8

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The summer olympic occurs every 4 years. Every 6 years, a US senator runs for reelection. If both events occurred last year how
deff fn [24]

Answer:

12 years

Step-by-step explanation:

every 4 years, olympic occurs.

Every 6 years, senator reelection.

if last year was 2020

in 2024 olympic will occur

in 2026 the reelection will occur

in 2028 olympic will occur

in 2032 olympic and reelection will occur will occur

2032 - 2020 = 12

12 years is the answer

7 0
3 years ago
The bus company charges $2.95 per mile for each bus. What is the cost for all 6 buses to drive 124 mile trip?
Softa [21]

Answer:

2194.8

First, 124 times 2.95 then you get 365.8 and finally you multiply by 6 and get you answer.

6 0
3 years ago
If x = 2 and y = -3, what is the value of 2x^2 + 3xy – 2y^2?
sammy [17]

Answer: Given as,X=2 & Y=3,

now multiplying we get,

2xxy=2×2×3=12

Ans.) 12

Step-by-step explanation:

7 0
2 years ago
The base of a regular pyramid is a hexagon. The figure shows a regular hexagon with center C. An apothem is shown as a dashed se
tatuchka [14]
Answer: 294√3

Explanation:


1) The described hexagon has these featrues:
a) 6 congruent equilateral triangles whose side lengths measure 14
b) height of each triangle = apotema = a
c) the area of each triangle is base × a / 2 = 14 × a / 2 = 7a


2) a is one leg of a right triangle whose other leg is 14 / 2 = 7, and the hypotenuse is 14.

3) Then you can use Pythagorean theorem fo find a:

14² = 7² + a² ⇒ a² = 14² - 7² = 147 ⇒ a = √ 147 = 7√3

4) Therefore, the area of one triangle is: 14 × 7√3  / 2 = 49√3

5) And the area of the hexagon is 6 times that: 6 × 49√3 = 294√3
8 0
3 years ago
In a survey of adults who follow more than one sport, 30% listed football as their favorite sport. You survey 15 adults who foll
maxonik [38]

Answer: 0.5

Step-by-step explanation:

Binomial probability formula :-

P(x)=^nC_x\ p^x(q)^{n-x}, where P(x) is the probability of getting success in x trials , n is the total trials and p is the probability of getting success in each trial.

Given : The probability that the adults follow more than one game = 0.30

Then , q= 1-p = 1-0.30=0.70

The number of adults surveyed : n= 15

Let X be represents the adults who follow more than one sport.

Then , the probability that fewer than 4 of them will say that football is their favorite sport,

P(X\leq4)=P(x=0)+P(x=1)+P(x=2)+P(x=3)+P(x=4)\\\\=^{15}C_{0}\ (0.30)^0(0.70)^{15}+^{15}C_{1}\ (0.30)^1(0.70)^{14}+^{15}C_{2}\ (0.30)^2(0.70)^{13}+^{15}C_{3}\ (0.30)^3(0.70)^{12}+^{15}C_{4}\ (0.30)^4(0.70)^{11}\\\\=(0.30)^0(0.70)^{15}+15(0.30)^1(0.70)^{14}+105(0.30)^2(0.70)^{13}+455(0.30)^3(0.70)^{12}+1365(0.30)^4(0.70)^{11}\\\\=0.515491059227\approx0.5

Hence, the probability rounded to the nearest tenth that fewer than 4 of them will say that football is their favorite sport =0.5

4 0
3 years ago
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