All categories

2 years ago

How can I solve this?

Mathematics

2 answers:

SVETLANKA909090 [29]2 years ago

6 0

Answer:

y is 70° and x is 40 °

Step-by-step explanation:

the triangle has two equal sides as shown on the diagram...so the next angle to 110° which is 70° is equal to y....then by calculation y + x should give us 110° so if y is 70 then x is 40.

Iteru [2.4K]2 years ago

3 0

Answer:

y = 70

x = 40

Step-by-step explanation:

The interior angle connected to 110o is the supplement of the 110o angle.

180 - 110 = 70o

The triangle is marked as having 2 equal sides which means that there must be 2 equal angles opposite these 2 sides. Therefore y is also 70o

All triangles have 180o

Therefore x + y + y = 180

We know the ys = 70 each. Substitute into the equation above

x + 70 + 70 = 180 Combine

x + 140 = 180 Subtract 140 from both sides.

x = 180 - 140

x = 40

You might be interested in

I need the volume for 9,11,and 13

mihalych1998 [28]

Hey there!

<h3>Question 1</h3>

Let's use 3.14 for pi during this. It'll make it a lot easier.

The volume for a cone is $\pi r^{2} \frac{h}{3}$ .

The diameter of this cone is 17.6 inches. Since the radius is half the diameter, we can find the radius by dividing this amount by 2.

17.6 ÷ 2 = 8.8

The height of this cone is 23.4 inches.

Plug the values into the equation.

$\pi 8.8^{2} \frac{23.4}{3}$

Next, square 6.8 and divide 23.4 by 3. Also, replace the pi symbol with 3.14.

$3.14 * 77.44 * 7.8$

Multiply the numbers together.

<u>The volume of this cone is approximately 1896.66 cubic inches.</u>

<h3>Question 2</h3>

Finding the volume of a trapezoidal prism can be done by finding the are of the trapezoidal face and multiplying it by the depth.

Formula for finding the area of a trapezoid is $a = \frac{1}{2} h(b_{1} +b_{2} )$

The two bases are 10 and 34, and the height is 24.7 feet. Put these values into the equation.

$a = \frac{1}{2} 24.7(10 +34 )$

Add 10 and 34, then multiply it by 24.7 and 1/2.

a = 543.4

Multiply that value by 19, which is the depth of the figure.

<u>The volume of the prism is 10324.6 cubic feet.</u>

<h3>Question 3</h3>

The formula for volume of a triangular pyramid is v = 1/3ah, with a the area of the base and h the height.

The formula for the area of an equilateral triangle, which is the base, is $a = \frac{\sqrt{3} }{4} s^{2}$

The length of the side is 12, so we can square that to get 144.

Now multiply that by $\frac{\sqrt{3} }{4}$ to get the area of the base.

The area of the base is about 62.35 square meters.

The height of the pyramid is 20 meters. Plug that and the area of the base into the equation.

v = 1/3 x 62.35 x 20

Multiply the numbers together to get the volume.

<u>The volume of the pyramid is approximately 415.67 cubic meters.</u>

Hope this helps!

3 0

3 years ago

A proportion often shows the relationship between:

tankabanditka [31]

Answer:

It compares two numbers that can represent many of things. For example, people, food & items.

Step-by-step explanation:

8 0

3 years ago

The area of the square is 100 square centimeters. What is the area of the circle?

swat32

Answer:

Since the question is incomplete, see the figure attached and the explanation below.

Explanation:

Since the figure is missing, I enclose the figure of a square inscribed in a circle.

Since the <em>area of a square</em> is the side length squared, you can determine the side length:

Area = (side length)²

100 cm² = (side lenght)²

$side\text{ }length=\sqrt{100cm^2}=10cm$

From the side length, you can find the diagonal of the square, which is equal to the diameter of the circle, using the Pythagorean theorem:

diagonal² = (10cm)² + (10cm)² = 2 × (10cm)²

$diagonal=\sqrt{2\times (10cm)^2}\\ \\ diagonal=10\sqrt{2} cm$

The area of the circle is π (radius)².

radius = diameter/2 = diagonal/2

$area= \pi \times (5\sqrt{2}cm)^2=50\pi cm^2$

6 0

2 years ago

[BRAINLIEST] a. Nick deposits money in a Certificate of Deposit account (CD). The balance (in dollars) in his account t years af

crimeas [40]

Answer:

(1.06)0 = 1 and positive powers of 1.06 are larger than 1, thus the minimum value N(t) attains, if t≥0, is 400.

From the point of view of the context, a CD account grows in value over time so with a deposit of $400 the value will never drop to $399.

4 0

2 years ago

Solve step - by - step.<br> 5b-1>=-11<br><br> Plz help!

maks197457 [2]

It would -2 because you have to bring over the -1 on the other side of the equal sign. so you would do -11 plus 1 and you will get -10 then you would 5b÷-10 (simplify).5b=-10
b=-2

7 0

3 years ago

Read 2 more answers