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3 years ago

State what additional information is required in order to know that the triangles are congruent

Mathematics

1 answer:

Sindrei [870]3 years ago

8 0

Answe no no no the first one

Step-by-step explanation: I didn't see the last part it's the first one

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A librarian has a set of ten different books, including four different books about Abraham Lincoln. The librarian wants to put t

Darya [45]

Answer:

120960

Step-by-step explanation:

Given that a librarian has a set of ten different books, including four different books about Abraham Lincoln.

The librarian wants to put the ten books on a shelf with the four Lincoln books next to each other, somewhere on the shelf among the other six different books.

First arrnage the 6 other books in the shelf.

This can be done in $6! ways$

Now arrange the 4 books of Lincoln

This can be done in $4! ways$

Now we have 7 places to insert Lincoln books including two corners and in between.

Thus this can be done in 7 ways

Total no of ways = $6!(4!)(7) = 120960$

3 0

2 years ago

If 1 cm represents 30 km on a map and colorado is shown by a 20cm by 15 cm rectangle on the map, what is the approximate actual

zubka84 [21]

Answer:

20*30km = 600km

15*30km = 450km

600km * 450km = 270000 km^2

Step-by-step explanation:

assuming 1cm --- 30km causes that 2cm --- 60km, 3cm --- 90km, 4cm --- 120km etc. Notice that number of km's is 30 times greater than the number of cm's on a map

using this logic, you calculate both real dimensions of Colorado by multiplying 20*30 = 600 km and 15*30 = 450km

Then we use a formula of an area of a rectangle $A=a\cdot b$ assuming $a=600km, \ b=450km$ and get $A=600\cdot 450=270000km^2$ which is an actual area of Colorado

3 0

2 years ago

An investment firm invested in two companies last year. They invested $11,000 in Company A and made a profit of 24% . They inves

Tema [17]

First off, "whatever%" of "anything" is just (whatever/100) * anything

part A)

so... firm A got 11,000 invested, turned a profit of 24%, how much is 24% of 11000? well (24/100) * 11000

firm B got 14,000 invested, and returned 15% in profits, how much is 15% of 14000? (15/100) * 14000

part B)

for the amounts above, we get 2640 and 2100 respectively

so, the total profit "amount" is 2640 + 2100 or 4740

the total investement was 11000+14000 = 25000

if 25000 is the 100%, how much is 4740 in percentage?

$\bf \begin{array}{ccllll}
amount&\%\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
25000&100\\
4740&x
\end{array}\implies \cfrac{25000}{4740}=\cfrac{100}{x}$

solve for "x"

6 0

2 years ago

Read 2 more answers

A random survey of 9th and 12th grade students was taken regarding the type of drink they liked to order at their local coffee s

san4es73 [151]

The table is shown below in the attached picture.

The grand total is the bottom rightmost cell, yellow in color.

12th graders AND likes specialty cold drinks is the cell colored green.

These 137 people are p% of the total. To get the value of p, we will divide this number (137) by grand total (750) and multiply by 100 to get the value.

$\frac{137}{750} =0.183=18.3$ %.