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3 years ago

The measures of the angles of a triangle are shown in the figure below. Solve for x. 80° 39

Mathematics

1 answer:

zloy xaker [14]3 years ago

7 0

Answer:

61 degrees

Step-by-step explanation:

A triangle has a total of 180 degrees. We already know 80 and 39. 80+39 is 119. 180-119+61

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If a/3 = b/2 , what are the following ratios?

sergejj [24]

Answer:

a/3 = b/2

a/b = 2/3

I guess you wanna know a:b

So it's 2:3

6 0

3 years ago

A wall with a height of 20 feet is braced with a support post that forms a 30 degree angle with the top of the wall. What is the

dexar [7]

The length of the support post is 40 ft.

Solution:

Given, the height of the wall is 20 ft; support post forms 30 degree

Refer the attached image

Let us name the triangle as ABC where AB is the wall (opposite side) of 20 ft and $\angle A$ is 30 degree ( $\theta$ ) and AC is the length of the post.

To find: The length of the post (AC)

we know the formula, $sin\theta=\frac{opp}{hyp}$ (trigonometric formula)

On substituting the values we get,

$\Rightarrow sin(30^{\circ})=\frac{20}{AC}$

The value of sin 30 degree is 0.5

$\Rightarrow 0.5=\frac{20}{AC}\rightarrow AC=\frac{20}{0.5}\rightarrow AC=40 ft$

3 0

3 years ago

What is the area where if this figurine ?ixl question

nydimaria [60]

Answer:

The area of the figure is 97 square inches

Step-by-step explanation:

In the given figure

To find the area of the figure we can find the area of the big rectangle with dimensions 7 inches and 19 inches and subtract from it the area of the small rectangle with dimensions 4 inches and 9 inches

∵ The area o the rectangle = length × width

∵ The dimensions of the big rectangle are 7 inches and 19 inches

∴ The width = 7 inches

∴ The length = 19 inches

→ Substitute them in the rule of the area above

∵ The area of the big rectangle = 19 × 7

∴ The area of the big rectangle = 133 inches²

∵ The dimensions of the small rectangle are 4 inches and 9 inches

∴ The width = 4 inches

∴ The length = 9 inches

→ Substitute them in the rule of the area above

∵ The area of the small rectangle = 9 × 4

∴ The area of the small rectangle = 36 inches²

→ Subtract the area of the small rectangle from the area of the big

rectangle to get the area of the green figure

∵ The area of the figure = the big area - the small area

∴ The area of the figure = 133 - 36

∴ The area of the figure = 97 inches²

∴ The area of the figure is 97 square inches

6 0

3 years ago

What is the area of a triangle whose vertices are D(3, 3) , E(3, −1) , and F(−2, −5) ?

kirill [66]

We are given vertices of the triangle DEF as:

D(3, 3) , E(3, −1) , and F(−2, −5) .

Let us plot those points on the graph.

Formula of area of the triangle with vertices (x1,y1), (x2,y2) and (x3,y3).

Area = 1/2 [ (x2-x1)(y3-y1)-(x3-x1)(y2-y1)]

We have x1=3, x2=3, x3=-2, y1=3, y2 =-1 and y3 = -5.

Plugging values in formula, we get

Area = |1/2 [ 3-3)(-5-3)-(-2-3)(-1-3)]|

= |1/2 [ 0(-8) - (-5)(-4)]|

=| 1/2 [0 - 20]|

= |-10|

=10.

<h3>Therefore, area of the triangle with given vertices is 10 square units.</h3>

7 0

3 years ago

Identify the domain and range of the following graph.

Novay_Z [31]

domain is 10 and range is 5 and another domain is 10 and range is -3

3 0

4 years ago