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Dimas [21]
3 years ago
15

Find the area of a triangle with a base length of 6 units and a height of 7 units. PLEASE SHOW YOUR WORK! (10 points)

Mathematics
2 answers:
NARA [144]3 years ago
8 0

Answer:

21 units

Step-by-step explanation:

The formula for solving a triangle is (b×h)/2

So that means 7 × 6 = 42 so then you want to divide 42 by 2

42÷2= 21

Anton [14]3 years ago
3 0

Answer:

D 21

Step-by-step explanation:

A=1/2bh is the  formula it’s simpl.

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Calculate the number of subsets and the number of proper subsets for the set.
arlik [135]

A set of n elements has 2ⁿ subsets. One of these subsets is the set itself, so this set would have 2ⁿ - 1 <em>proper</em> subsets.

The given set has 4 elements, so it has 2⁴ = 16 subsets and 2⁴ - 1 = 15 proper subsets.

Just to illustrate the claim, we have

• subsets of size 0 (1 of these):

{ } (empty set)

• subsets of size 1 (4 of these):

{1/6}, {1/7}, {1/8}, {1/9}

• subsets of size 2 (6 of these):

{1/6, 1/7}, {1/6, 1/8}, {1/6, 1/9}, {1/7, 1/8}, {1/7, 1/9}, {1/8, 1/9}

• subsets of size 3 (4 of these):

{1/6, 1/7, 1/8}, {1/6, 1/7, 1/9}, {1/6, 1/8, 1/9}, {1/7, 1/8, 1/9}

• subsets of size 4 (1 of these):

{1/6, 1/7, 1/8, 1/9}

and the last one is the only subset that is not a proper subset, because that subset = the set.

6 0
2 years ago
17. Admission prices to Cinema I to see a movie are $9.50 for an adult and $6.50 for a child. The admission charge at Cinema II
maksim [4K]

Answer:

a. 9.5x + 6.5(x+c) < 8   when c>0

b. Must be one child more than the no. of adults.

Step-by-step explanation:

For Cinema 1:

for adult = $9.50

for child = $6.50

For Cinema 2:

Per person regardless of age = $8.00

First of all, we will find out the condition when per person rates in both cinema are equal.

Assume x = no. of adults

y = no. of children

Rate per person in Cinema I = Rate per person in Cinema II

(9.5x + 6.5y)/(x+y)   =   8

9.5x + 6.5y = 8(x+y)

9.5x + 6.5y = 8x + 8y

9.5x-8x = 8y-6.5y

=> x = y

So rates are equal when no. of adults equals no. of children

For Cinema I to have better rates, no. of children should be atleast 1 more than the no. of adult. In this way the rate per person of Cinema I will be less than 8

Hence we form an inequality when y = x+c and c > 0

9.5x + 6.5(x+c) < 8   when c>0

Hence there must be 1 more children than the no. of adults attending Cinema I for it to be a better deal.

4 0
3 years ago
Read 2 more answers
Given the system of linear equations. -x+y=3 and 2x+y=6 Part A: Use substitution to find the solution to the systems of equation
Juli2301 [7.4K]
-x+y=3
y=x+3

2x + x + 3 =6
3x + 3 = 6
3x = 3
x = 1

-1 + y = 3
y = 4

2(1) + y = 6
2 + y = 6
y = 4

Solution: (1, 4)
8 0
3 years ago
What is the unknown angle measure in an equilateral triangle that has two angles of 60 degrees each?
Alisiya [41]

Answer:

The third side will also be 60 as it is an equilateral triangle

5 0
2 years ago
Which of the following could be the sum of exactly three consecutive integers?
Alexeev081 [22]
198 is your answer:

65+66+67 =  198

Hope I helped! You can pick me as brainliest if you want to.
3 0
3 years ago
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