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3 years ago

Expanded num for 373698

Mathematics

2 answers:

ivolga24 [154]3 years ago

4 0

300000+70000+3000+600+90+8

Feliz [49]3 years ago

4 0

300000+70000+3000+600+90+8

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The vertex angle of an isosceles triangle measures 42°. A base angle in the triangle has a measure given by

Dmitry_Shevchenko [17]

Answer:

x=33

Each base angle measures 69 degrees

Step-by-step explanation:

the 2 base angles are equal so the measure of 1 base angle = (180 - 42) / 2

= 69 degrees

2x + 3 = 69

2x = 66

x = 33

5 0

3 years ago

Tim must read 2 books from a list of 7 recommended books for his summer reading program. In how many different ways can Tim choo

Marianna [84]

There are 21 ways Tim choose 2 books from the 7 recommended book

Solution:

Given that Tim must read 2 books from a list of 7 recommended books for his summer reading program

To find: different ways can Tim choose 2 books from the 7 recommended books

This is a combination problem

A combination is a selection of all or part of a set of objects, without regard to the order in which objects are selected

The formula for combinations is:

$n C_{r}=\frac{n !}{r !(n-r) !}$

where n represents the number of items, and r represents the number of items being chosen at a time

Here we have to choose 2 books from 7 books

Therefore, n = 7 and r = 2

Substituting values in above formula, we get

$\begin{aligned}&7 C_{2}=\frac{7 !}{2 !(7-2) !}\\\\&7 C_{2}=\frac{7 !}{2 ! \times 5 !}\end{aligned}$

For a number n, the factorial of n can be written as,

$n !=n \times(n-1) \times(n-2) \dots \dots \times 2 \times 1$

Therefore, we get

$7 C_{2}=\frac{7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1}{2 \times 1 \times 5 \times 4 \times 3 \times 2 \times 1}\\\\7C_2 = 7 \times 3 = 21$

Thus there are 21 ways Tim choose 2 books from the 7 recommended book

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3 years ago

A locus of points equidistant from a fixed point is a

kap26 [50]

Answer:

B. bisector of an angle.

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3 years ago

. What does the line y = 3x - 7 look like

Norma-Jean [14]

y = 3x - 7

3 = slope
-7 = y intercept

This line would cross the y intercept at -7, and go up by 3 (slope).

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3 years ago

Aiden is putting a carpet on the floor of his bedroom. The carpet is 6 feet long and 7 feet wide. What is the total area of Aide

kakasveta [241]

6 × 7 = 42 because area = length × width

8 0

3 years ago