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Papessa [141]
2 years ago
8

Find the area of a triangle whose sides are 5 m, 6 m and 9m,( use root 2 =-1.41 m)​

Mathematics
1 answer:
dlinn [17]2 years ago
4 0

The area of the triangle is 14.1 square meters

<h3>How to determine the triangle area?</h3>

The side lengths are given as:

5m, 6m and 9m

Calculate the semi-perimeter (s) using

s = (5 + 6 + 9)/2

Evaluate

s = 10

The area is then calculated as:

Area = \sqrt{s(s -a)(s-b)(s-c)

This gives

Area = \sqrt{10 * (10 -5)(10-6)(10-9)

Evaluate the products

Area = \sqrt{200

Evaluate the exponent

Area = 14.1

Hence, the area of the triangle is 14.1 square meters

Read more about areas at:

brainly.com/question/27683633

#SPJ1

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The sandwich shop offers combo meals with a choice of one sandwich, one side, and one drink. On total there are 560 combos avail
Leto [7]
There are 7 sides available.

The fundamental counting principal tells us to find the total number of combinations of independent items, multiply the number of choices from each one (choices x choices x....)

This means that drink x sides x sandwiches = 560.  We know there are 16 sandwiches and 5 drinks.  Let S be the number of sides:
15(6)(S) = 560
80S = 560

Divide both sides by 80:
80S = 560/80
S = 7
6 0
3 years ago
2. Consider the circle x² + y2 = 1, given in figure. Let OP makes an angle 30° with the x axis.
PolarNik [594]

The equation of the tangent line to the circle passing through the point P is; y = (1/√3)x ± 2/√3

<h3>How to find the equation of the tangent?</h3>

I) We are given the equation of the circle as;

x² + y² = 1

Since angle of inclination is 30°, then slope is;

m = tan 30 = 1/√3

Then equation of the tangent will be;

y = (1/√3)x + c

Put  (√3)x + c into the given circle equation to get;

x² + ((1/√3)x + c)² = 1

x² + ¹/₃x² +  (2/√3)cx + c² = 1

⁴/₃x² +  (2/√3)x + (c² - 1) = 0

Since we need to find value of c for equation to become tangent, then the above quadratic equation must have real and equal roots.

Thus;

((2/√3)c)² - 4(⁴/₃)(c² - 1) = 0

⁴/₃c² - ¹⁶/₃(c² - 1) = 0

⁴/₃c² - ¹⁶/₃c² + ¹⁶/₃ = 0

4c² = ¹⁶/₃

c² = ⁴/₃

c = √⁴/₃

c = ±²/√3

Thus, equation of tangent is;

y = (1/√3)x ± 2/√3

II) Radius from the given equation is 1. Thus, we will use trigonometric ratio to find the x and y intercept;

x-intercept is at y = 0;

0 = (1/√3)x ± 2/√3

-(1/√3)x = ±2/√3

Intercept is positive. Thus;

x = (2/√3)/(1/√3)

x = 1

y - intercept is positive at x = 0;

y = (1/√3)0 ± 2/√3

y = 2/√3

Read more about Equation of tangent at; brainly.com/question/17040970

#SPJ1

6 0
1 year ago
If -2a &gt; 6, then _____.<br><br> a &gt; -3<br> a &gt; 3<br> a &lt; 3<br> a &lt; -3
shutvik [7]

Answer:

a<-3

bc -3(-2)=6

so if u go lower which the next number would be -4(-2)=8 which is greaterthan 6

Step-by-step explanation:

5 0
3 years ago
Three U.S coins add to $1 If one of them is not half a dollar what is the smallest value coin?
Svet_ta [14]
The smallest value is $0.25 (a quarter) because you can use two quarters and a half dollar. Only one of them can't be a half dollar, but the other two can be.
4 0
2 years ago
Order the following numbers from least to greatest. <br> -2, 1.7, -5/2
8_murik_8 [283]

Answer:

Step-by-step explanation:

-5/2<-2<1.7

use number line

7 0
2 years ago
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