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2 years ago

Find the area of the triangle below.

Mathematics

1 answer:

myrzilka [38]2 years ago

6 0

Answer:

Step-by-step explanation:

Since this is not a right angle, we can use the formula $Area= Sin(y) (\frac{1}{2}ab)$

a=7

b=10

y=35

So, when we plug these values in, we get:

$a=Sin(35)(\frac{(10)(7)}{2})\\\\=35sin(35)\\=20.075\\$

rounded to the nearest hundredth, I believe it's 20.

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Solve for the variable using Trig ratio.

SIZIF [17.4K]

Answer:

x = 3.86

a = 5.86

Step-by-step explanation:

From the triangles attached,

By applying cosine rule in triangle 1,

cos(50)° = $\frac{\text{Adjacent side}}{\text{Hypotenuse}}$

cos(50)° = $\frac{x}{6}$

x = 6cos(50)°

x = 3.86

Now we apply sine rule in the second triangle,

sin(23)° = $\frac{\text{Opposite side}}{\text{Hypotenuse}}$

sin(23)° = $\frac{a}{15}$

a = 15sin(23)°

a = 5.86

5 0

3 years ago

What is the value of the fourth term in a geometric sequence for which a=15 and r= 1/3

Andreyy89

Answer:

Step-by-step explanation:

hello :

the n-ieme term is : An=A1×r^(n-1)

A1 the first term r : the common ratio

in this exercice : A1 =15 r = 1/3 n = 4

A4=15×(1/3)^(4) =15×4^4 =3840

6 0

2 years ago

The measures of the angles of a triangle are shown in the figure below. Solve for x.

tino4ka555 [31]

Answer:

The vale of x=4

Step-by-step explanation:

We know that the sum of angles of a triangle = 180°

Given

(3x+13)

(8x+14)

109°

Thus, the equation becomes

(3x+13) + (8x+14) + 109° = 180°

11x + 27 + 109° = 180°

11x = 180°- 109° - 27

11x = 44

x = 4

Thus, the vale of x=4

6 0

2 years ago

15. There is a 25% chance of rain tomorrow. The probability that the price of gold rises tomorrow is 37%. The probability that i

Alchen [17]

Step-by-step explanation:

yes, the 2 events are entirely independent

neither one influences the other.

3 0

2 years ago

Read 2 more answers

Together, Kyle and Tyler traveled 425 miles to the beach. If Kyle traveled 240 miles, how far did Tyler travel?

Papessa [141]

Answer:

185 miles

Step-by-step explanation:

We are given that

Both Kyle and Tyler traveled total distance to the beach=425 miles

Kyle traveled distance to the beach=240 miles.

We have to find the distance traveled by Tyler.

To find the distance traveled by Tyler we will subtract distance traveled by Kyle form total distance traveled by together Kyle and Tyler.

Let x be the distance traveled by Tyler.

According to question

$x+240=425$

$x=425-240=185$ miles

Hence, Tyler travels distance to the beach=185 miles

4 0

2 years ago

Read 2 more answers