All categories

1 year ago

1. Identify the lateral area and surface area of a regular square pyramid with base edge length 5 in. and slant height 9 in.

Mathematics

1 answer:

zlopas [31]1 year ago

6 0

1. C
L=1/2(Pxl)
L=1/2(20x9)
L=1/2(180)
L=90

SA=1/2(Pxl)+B
SA=90+5^2
SA=115

B, A, C, B.

You might be interested in

Kim is reading a book with 380 pages. She read 20 pages each day until she reached Part 2 of the book. Part 2 of the book is 160

d1i1m1o1n [39]

If you divide 380 by 20, you get 19. To check this, multiply 20 x 19 to see 380. Hope this helps :D

6 0

2 years ago

Read 2 more answers

You put $500 in an account that earns 4% annual interest. The interest earned each year is added to the principal to create a ne

gogolik [260]

Answer:

I = 60 is your answer

Step-by-step explanation:

Your formula is I = prt. Interest = percent x rate s time.

I= 500 x 4% x 3

I = 60 is your answer

4 0

2 years ago

A moving company charges $0.70 per pound for a move from New York to Florida. A family estimates that their belongings weigh abo

natima [27]

First, find out how many pounds in a ton. 2000 pounds are in one ton. It is 70 cents for 1 pounds, multiply that by 2000 to see how much it costs for a ton. It would get you $1,400. Next, multiply 1,400 by 5 to see how much it is for 5 tons. It cost approximately 7,000 dollars.

3 0

1 year ago

A million years ago, an alien species built a vertical tower on a horizontal plane. When they returned they discovered that the

velikii [3]

Answer:

$\theta=cos^{-1}(\frac{2}{3})$

Step-by-step explanation:

We are given that measurements of three points on the ground gave coordinates of (0,0,0),(1,2,0) and (0,2,1)

We have to find the angle by which the tower now deviate from the vertical

We find cross product of <1,2,0> and <0,2,1>

$\times =\begin{vmatrix}i&j&k\\1&2&0\\0&2&1\end{vmatrix}$

$\times =2\hat{i}-\hat{j}+2\hat{k}$

Now, we are finding the angle between $\times$ and vertical vector <0,0,1>

Angle between two vectors formula

$cos\theta=\frac{a.b}{\mid a\mid\cdot\mid b\mid }$

Now, using this formula

$cos\theta=\frac{2}{1\cdot 3}=\frac{2}{3}$

$\theta=cos^{-1}(\frac{2}{3})$

Hence, the tower deviate from the vertical by the angle $\theta=cos^{-1}(\frac{2}{3})$

6 0

1 year ago

A football field is 120 yards long by 53 yards wide if a player runs diagonally from one corner to the opposite corner. How far

qaws [65]

Answer: They will travel about 131.18 yards.

Step-by-step explanation:

Given : A football field is 120 yards long by 53 yards wide.

We know that a football field is rectangular in shape.

Each interior angle in a rectangle is a right angle.

Then, by Pythagoras theorem, we have

(Diagonal)² = (Length)² + (Width)²

If a player runs diagonally from one corner to the opposite corner, then the length of the diagonal is given by :-

$(\text{Diagonal})=\sqrt{(120)^2+(53)^2}\\\\\Rightarrow\ (\text{Diagonal})=\sqrt{14400+2809}\\\\\Rightarrow\ (\text{Diagonal})=\sqrt{17209}\\\\\Rightarrow\ (\text{Diagonal})=131.183078177\approx131.18\text{ yards}$

Hence, they will travel about 131.18 yards.

7 0

1 year ago