All categories

3 years ago

Can someone help me with this problem

Mathematics

1 answer:

TEA [102]3 years ago

3 0

Answer:

y = 102, z = 67

Step-by-step explanation:

The angles 113 and z form a straight angle and are supplementary, thus

z = 180 - 113 = 67

The sum of the 4 interior angles of a quadrilateral = 360°

Sum the interior angles and equate to 360 for y

y + 102 + 89 + 67 = 360, that is

y + 258 = 360 ( subtract258 from both sides )

y = 102

You might be interested in

How to simplify fully

iren2701 [21]

.that's how 2 solve it

4 0

3 years ago

Choose 2 answers one for the center and one for the spread

Citrus2011 [14]

Is A & C.

Explanation:
A. Median for sea turtles:
The set is odd, so median is the middle number - 4
The koi set had 10, even number, so the median for the koi is the average of the 2 middle: 4+3=3.5

Turtles > koi

C. The ages of koi are more spread out - 10. The turtles are only 5.

7 0

3 years ago

Find the circumstances of the circle. Use pi = 3.14

Dvinal [7]

Answer:3.14r^2

Step-by-step explanation:

if you are asking circumference then using circumference formula

circumference(c)=pi*r^2

=3.14r^2

5 0

3 years ago

Describe the cross-section of the rectangular prism

ser-zykov [4K]

Answer:

The cross-section of the rectangular prism is a:

<u>rectangle</u>

Step-by-step explanation:

When you take a cross-section of a rectangular prism, regularly <u>you will obtain a rectangle because this was the base or the two-dimension figure that was used to form the three-dimension figure, in this case, the rectangular prism</u>, the form of obtaining other figure is using how reference the square face, in that case, the cross-section would be a square, this happens because the cross-section is bind with the reference face. Possibly you think the cross-section in the figure doesn´t appear a rectangle, <u>this happens by the perspective because we are looking at the rectangular prism with an inclination of 45°, but if the inclination was 90°, you would see a blue rectangle</u>.

6 0

3 years ago

If the distance from the boat to the lighthouse is 120 meters and the angle of elevation is 40°, which of the following equation

Sidana [21]

You can use the fact that lighthouses are usually standing perpendicular to the ground that smaller distance on earth surface(planes or water bodies like sea or ocean or calm river) acts as if they a straight plane.

The length (y) of the lighthouse is given by:

Option D: tan 40° = y over 120.

<h3>What is angle of elevation?</h3>

What you see something higher than your eye level height, you need to see up, you elevate your head to see that thing. The angle from the straight horizontal level of eye to the current elevated level is measured and named as angle of elevation.

Similarly, there is angle of depression when the observer looks down.

<h3>How to calculate the height of the considered lighthouse?</h3>

See the figure attached below to understand the symbols used in calculations.

Let the boat is on point C, and let the light house be AB.

Then we have:

Length of CA = 120 meters

∠ ACB = 40°

To find: length of AB

By using the trigonometric ratio tangent, we get:

$tan(\angle ACB) = \dfrac{AB}{AC}\\\\tan(40^\circ) = \dfrac{h}{120}$

Since here h is denoted by y, we have h = y, or

The equation to find the height of the lighthouse is

$tan(40^\circ) = \dfrac{y}{120}$

Thus,

The length (y) of the lighthouse is given by:

Option D: tan 40° = y over 120.

Learn more about angle of elevation here:

brainly.com/question/12483071

8 0

2 years ago