Find the height of the triangular pyramid when the volume is 318 square centimeters

A square OABC with the length of a side 6 cm and circle k(O) with a radius 5 cm are given. Which of the lines OA , AB , BC , or

Pavel [41]

Answer:

AC and OA

Step-by-step explanation:

-A secant is a line connecting two points on the circle.

-Given the square OABC of sides 6cm and a circle of r=5cm and the center of the circle as O, and that the radius of the circle is less than the side of the square:

-The circle passes through OA and OC, but doesn't pass through AB and BC.

Hence, AC and OA are the circle's secants.

5 0

1 year ago

Jan accidentally ran 7 minutes longer than she was supposed to. Write an expression for the total amount of time Jan ran if she

vovangra [49]

Answer:

m+7

Step-by-step explanation:

If she ran 7 minutes longer and m represents the amount of time she ran, then it would just be addition.

Let's say m=60 minutes. She would've ran for 67 minutes, which is also m+7.

6 0

2 years ago

A large washer has an outer radius of 10mm and a hole with a diameter of 14mm. What is the area of the top surface of the washer

choli [55]

<h2>Answer:</h2>

The area of the top surface of the washer is: 160.14 square mm.

<h2>Step-by-step explanation:</h2>

The top of the surface is in the shape of a annulus with a outer radius of 10 mm and a inner radius of 7 mm ( since the diameter of the hole is: 14 mm and we know that the radius is half of the diameter)

Now, we know that the area of the annulus region is given by:

$Area=\pi (R^2-r^2)$

where R is the outer radius and r is the inner radius.

Here we have:

$R=10\ mm\\\\and\\\\r=7\ mm$

Hence, we have:

$Area\ of\ top\ surface=\pi (10^2-7^2)\\\\i.e.\\\\Area\ of\ top\ surface=\pi (100-49)\\\\i.e.\\\\Area\ of\ top\ surface=\pi\cdot 51\\\\i.e.\\\\Area\ of\ top\ surface=160.14\ mm^2$

4 0

1 year ago

Read 2 more answers

We know that a triangle with side lengths x2 -1, 2x, and x2 1 is a right triangle. Using those side lengths, find the missing tr

Olenka [21]

Least to greatest, the triples are (2x, x²-1, x²+1). Thus the value in the first column of the table is half the value of the first of the triples. Your completed table will be

$\begin{array}{cc}\text{x-value}&\text{triple}\\3&\bf{(6,8,10)}\\\bf{4}&(8,15,17)\\5&\bf{(10,24,26)}\\\bf{6}&(12,35,36)\end{array}$

4 0

1 year ago

Myra asked Annabelle to buy her some perfume while she was in France. Annabelle paid 200 euros for it. Myra wants to pay Annabel

serious [3.7K]

Answer:

286

Step-by-step explanation:

Given : Myra asked Annabelle to buy her some perfume while she was in France. Annabelle paid 200 euros for it. Myra wants to pay Annabelle back in U.S. dollars.

To Find: If the foreign exchange rate between the U.S. dollar and the euro is 1:0.7, how much should Myra pay Annabelle?

Solution:

Since Annabelle paid 200 euros

And Myra wants to pay Annabelle back in U.S. dollars.

Let Myra paid amount to Annabelle in U.S. dollar be x

We are also given that the U.S. dollar and the euro is 1:0.7

⇒ $\frac{1}{0.7}=\frac{x}{200}$