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3 years ago

Find the missing side: What’s the missing side

Mathematics

1 answer:

Law Incorporation [45]3 years ago

3 0

Answer:

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

x² = 13² + 4² = 169 + 16 = 185 ( take the square root of both sides )

x = $\sqrt{185}$ ≈ 13.6 ( to 1 dec. place ) → B

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Graph the image of this triangle after a dilation with a scale factor of 2 centered at the origin. Use the polygon tool to graph

Olenka [21]

The triangle is illustrated below.

<h3>How to explain the triangle?</h3>

The first thing you should find are the new vertices:

(x, y) ---> (2x, 2y) ---> (x', y')

(0, 0) ---> (2 (0), 2 (0)) ---> (0, 0)

(-4, 4) ---> (2 (-4), 2 (4)) ---> (-8, 8)

(-4, -2) ---> (2 (-4), 2 (-2)) ---> (-8, -4)

Then, you must join the ordered pairs and graph the new triangle.

See the attached graph.

Learn more about triangles on:

brainly.com/question/1058720

#SPJ1

5 0

2 years ago

1. Find the sum of the measures of the interior angles of a convex 11-gon.

OleMash [197]

Answer:

The measure of the sum of interior angles of a 11-gon is $1620^{o}$ .

Each interior angle is approximately $147.273^{o}$ .

Step-by-step explanation:

A convex polygon has the measure of each interior angles to be less than $180^{o}$ .

But,

sum of interior angles of polygon = (n - 2) x $180^{o}$

where n is the number of sides of the polygon.

For a convex 11-gon, we have;

sum of angles of a 11-gon = (11 - 2) x $180^{o}$

= 9 x $180^{o}$

= $1620^{o}$

Sum of angles of a 11-gon = $1620^{o}$

To check: convex polygons' interior angles are less than $180^{o}$ .

so that,

each interior angle of 11-gon = $\frac{1620}{11}$

= $147.273^{o}$

3 0

3 years ago

Alexa is ordering a taxi from an online taxi service. The taxi charges $4 just for the pickup and then an additional $1.25 per m

Rufina [12.5K]

Answer:

Alex's ride is $15.25

The equation to find this is

1.25m + 4 = cost

m = miles traveled

6 0

3 years ago

A) 8801<br> +2031<br>_______

Bezzdna [24]

Answer:

the answer is 10832

Step-by-step explanation:

you can use a calculator

7 0

3 years ago

Read 2 more answers

Help me please :) its very hard

postnew [5]

Answer:

Answer B

Step-by-step explanation:

You need to first find the surface area of the triangular prism.

In order to do that, we need to first know the length of the base of the triangles on both side. So, I used the pythagorean theorem (a²+b²=c²) after making the triangle a right triangle by cutting it in HALF.

a²+b²=c²

a²+2.6²=3²

a²+6.76=9

Subtract 6.76 on both sides

a²=2.24

a=√2.24

a=1.49666295471

Now, we know that the base of HALF of the triangles on both sides of the prism is 1.496......

We need to MULTIPLY this by 2 to get the full length. So, the length of the bases of both triangles is 2.99332590942

The height of the triangles is 2.6

We are going to first find the area of one triangle and multiply it by 2, to get the area of both triangles.

Area of a triangle = base x height ÷ 2

2.6 x 2.99332590942= 7.78264736449

7.78264736449 ÷ 2 = 3.89132368224

3.89132368224 x 2 (because we have 2 triangles) =7.78264736449 cm squared

Now, we know the area of both triangles, but we now need to add the add the surface area of the rectangles in the net.

Area of a rectangle = length x width

We know that all of the three rectangles are equal in size, and that the length of each one of them is 15 cm. However, the width/height of each one is unknown. We will find out the height of each one by looking at the length of the base of the triangle attached to the first one. We know that because of the base of the triangles = 2.99332590942, the width of the attached rectangles are 2.99332590942. We found this using the Pythagorean theroem (look above).

15 x 2.99332590942= 44.8998886413

44.8998886413 x 3 (because we have 3 of the same rectangles)= 134.699665924 cm squared

Now, we must ADD the surface area of the rectangles AND the triangles.

7.78264736449 (triangles) + 134.699665924 (the three rectangles)= 142.482313288 cm squared.

The CLOSEST OPTION to the answer we got is ANSWER B because it is 142.8 cm squared, which is the closest to the answer we got which was 142.482313288 cm squared.

I really hope this helps :)

6 0

3 years ago

Read 2 more answers