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tia_tia [17]
3 years ago
6

Could someone answer the question with the photo linked below? Then explain how to solve it?

Mathematics
1 answer:
san4es73 [151]3 years ago
8 0

Answer:

b = sqrt(57)

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse

8^2 + b^2 = 11^2

64+ b^2 = 121

Subtract 64

b^2 = 121-64

b^2 =57

Take the square root of each side

b = sqrt(57)

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Which situation can be represented by the inequality?
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2 years ago
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Bharat and ingrid leave their building at the same time on their bikes and travel in opposite directions. If bharat's speed is 1
yanalaym [24]

Answer:

3 hours

Step-by-step explanation:

speed of Bharat = 12kilometers / hour

speed of Ingrid=14 kilometers / hour

For this problem we'll be using formula relating time, distance and speed.i.e

Distance = speed x time

Suppose Bharat is riding at a distance of 'b' kilometers, therefore time taken by him will be:

Time = distance/ speed

Time= b/12 hours.

Also, Ingrid can ride the distance at this time with speed of 14km/hr

The distance would be,

Distance = speed x time

Distance = 14 x (b/12) => 14b/12

Distance= 7b/6

Let 'd_{b}' be the distance that Bharat have covered after time 't'

therefore, d_{b} = 12 x t

Let 'd_{i} ' be the distance that Ingrid have covered after time 't'

therefore, d_{i} = 14 x t

In order to find the time when they are 78 kilometers apart, we will add d_{i}  and d_{b}, because they are travelling in opposite direction creating distance between them.

So,

d_{i} + d_{b} = 78

( 14 x t) + (12 x t) =78

14t + 12t =78

26t= 78

t= 78/26

t= 3hours.

thus, it will take 3 hours  until they are 78 kilometers apart

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3 years ago
The function h(t)= -2(t-3)^2+23 represents the height, in feet, t seconds after a volleyball is served.Which of the following st
Tatiana [17]

What are the statements?


4 0
3 years ago
1. Suppose you have 62 toothpicks and a bunch of rubber bands.
ehidna [41]

Base-ten units are used to represent numbers in blocks

<h3>How to represent the bundle of toothpicks</h3>

The bundle is given as:

Bundle = 62

Rewrite as:

Bundle = 60 + 2

Express 60 as a product

Bundle = 6 * 10 + 2

See attachment for the drawing that represents the bundle

<h3>Ways to interpret the 6 in 62</h3>

The 6 in 62 can be interpreted in the following ways

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Read more about base-ten units at:

brainly.com/question/12386995

7 0
2 years ago
For the following exercises, determine the point(s), if any, at which each function is discontinuous. Classify any discontinuity
NARA [144]

Answer: (a). at x = 0, its a removable discontinuity

and at x = 1, it is a jump discontinuity

(b). at x = -3, it is removable discontinuity

also at x = -2, it is an infinite discontinuity

(c). at x = 2, it is a jump discontinuity

Step-by-step explanation:

in this question, we would analyze the 3 options to determine which points gave us discontinuous in the category of discontinuity as jump, removable, infinite, etc.

(a). given that f(x) = x/x² -x

this shows a discontinuous function, because we can see that the denominator equals zero i.e.

x² - x = 0

x(x-1) = 0

where x = 0 or x = 1.

since x = 0 and x = 1, f(x) is a discontinuous function.

let us analyze the function once more we have that

f(x) = x/x²-x = x/x(x-1) = 1/x-1

from 1/x-1 we have that x = 1 which shows a Jump discontinuity

also x = 0, this also shows a removable discontinuity.

(b). we have that f(x) = x+3 / x² +5x + 6

we simplify as

f(x) = x + 3 / (x + 3)(x + 2)

where x = -3, and x = -2 shows it is discontinuous.

from f(x) = x + 3 / (x + 3)(x + 2) = 1/x+2

x = -3 is a removable discontinuity

also x = -2 is an infinite  discontinuity

(c). given that f(x) = │x -2│/ x - 2

from basic knowledge in modulus of a function,

│x│= │x       x ˃ 0 and at │-x    x ∠ 0

therefore, │x - 2│= at │x - 2,     x ˃ 0 and at  │-(x - 2)   x ∠ 2

so the function f(x) = at│ 1,     x ˃ 2 and at │-1,    x ∠ 2

∴ at x = 2 , the we have a Jump discontinuity.

NB. the figure uploaded below is a diagrammatic sketch of each of the function in the question.

cheers i hope this helps.

3 0
3 years ago
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