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barxatty [35]
4 years ago
8

In the isosceles triangle below the congruent side each measure 13 meter if the bases of the triangle is 10 what is the height o

f the triangle
Mathematics
1 answer:
nata0808 [166]4 years ago
4 0

Answer:

height=12

Step-by-step explanation:

To find the height of the triangle first you would have to change it into a right triangle.

The right triangle would have a base of 5 and the hypotenuse would be 13

The n you would use Pythagorean theorem to find the height

{a}^{2}  +  {b}^{2}  =  {c}^{2}

{5}^{2}  +  {b}^{2}  =  {13}^{2}

{b}^{2}  = 144

b=12

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Pleaseeeeeeeeeee help.
Sauron [17]

Answer:

The total distance Remy will swim is approximately 236 meters

Step-by-step explanation:

From the given diagram, of triangle ΔCAB, we have that the path Remy is to swim are;

1) Length of segment C to A

2) Length of segment A to B

3) Length of segment B to C

The length of the perpendicular at point D on segment AB to C = 60 meters

Therefore, DC = 60 m

By trigonometric ratios, we have;

tan (\theta) = \dfrac{Opposite \ leg \ length}{Adjacent \ leg \ length}

cos(\theta) = \dfrac{Adjacent\ leg \ length}{Hypotenuse \ length}

We are given the values of the trigonometric ratios of the following angles;

tan(27°) = 0.51

tan(43°) = 0.93

cos(27°) = 0.89

cos(43°) = 0.73

∴ tan(43°) = AD/DC = 0.93

Where the lengths of AC, AD, DB, DC and BC

AD = DC × tan(43°)

∴ AD = 60 × 0.93 ≈ 55.8

Similarly, we have;

tan(27°) = DB/DC

∴ DB = DC × tan(27°)

DB = 60 × 0.51 ≈ 30.6

From cos(\theta) = \dfrac{Adjacent\ leg \ length}{Hypotenuse \ length}, we have;

cos(43°) = DC/AC

AC = DC/(cos(43°))

∴ AC = 60/0.73 ≈ 82.2

Similarly, we have;

cos(27°) = DC/BC

BC = DC/(cos(27°))

∴ BC = 60/0.89 ≈ 67.4

The total distance Remy will swim = AC + AD + DB + BC

∴ The total distance Remy will swim = 82.2 + 55.8 + 30.6 + 67.4 = 236

The total distance Remy will swim = 236 meters

6 0
3 years ago
How do you simplify 8+(9t+4)
IrinaVladis [17]
8+(9t+4)
remove (  )
since there's a + in front of the (  ) the value will not change

8+9t+4
combine like terms

9t+12
Hope this helps
3 0
3 years ago
If x = 3 is a zero of the polynomial function f(x) = 2x3 + x2 − 25x + 12, which of the following is another zero of f(x)? ASAP
olasank [31]
If x = 3 is a solution, (x - 3) is a factor of f(x).
2x³ + x² - 25x + 12 ÷ (x - 3) [by long division] = 2x² + 7x - 4
so f(x) = (x - 3)(2x² + 7x - 4)
f(x) = (x - 3)(2x - 1)(x + 4)
so 'zeros', or more correctly solutions, are: x = 3, x = 1/2 and x = -4.
[by setting each of the factors equal to 0 and solving for x].
7 0
3 years ago
3y+4y+6=20 can someone please help me with this
Xelga [282]

3y+4y+6=20

(3y+4y)+(6)=20

(Combine Like Terms)

7y+6=20

7y+6=20

Subtract 6 from both sides.

7y + 6 − 6 = 20 − 6

7y = 14

Divide both sides by 7.

7y/7 = 14/7

y = 2

7 0
3 years ago
By rounding each number to 1 significant figure,
luda_lava [24]

Answer:

Step-by-step explanation:

1. 8.2 * 6.7 / 0.46

2. 54.94 / 0.46

3. 119.434783

4: 120

4 0
3 years ago
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