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3 years ago

What is the surface area of the square pyramid?

Mathematics

1 answer:

Liula [17]3 years ago

3 0

Answer:

Step-by-step explanation:

$2^2+4(\frac{1}{2}\cdot 2\cdot 3)=4+12=16$ square units. Hope this helps!

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Two weeks in a row, the golf course hosts a group of golfers. The second week had 10 more golfers than the first week. Use the d

Trava [24]

Answer:

Option A.

Step-by-step explanation:

From the first dot plot the given data set for week 1 is

62, 68, 68, 68, 69, 70, 70, 72, 72, 72, 75, 75, 76, 78, 78, 80, 80, 80, 89, 89

Divide the data in 4 equal parts.

(62, 68, 68, 68, 69), (70, 70, 72, 72, 72), (75, 75, 76, 78, 78), (80, 80, 80, 89, 89)

$Range=Maximum-Minimum=89-62=27$

$Median=\frac{72+75}{2}=73.5$

$Mean=\frac{\sum x}{n}=\frac{1491}{20}=74.55$

From the second dot plot the given data set for week 2 is

62, 68, 68, 68, 69, 70, 70, 72, 72, 72, 75, 75, 76, 78, 78, 80, 80, 80, 85, 86, 86, 86, 88, 88, 88, 88, 89, 89, 89, 89

Divide the data in 4 equal parts.

(62, 68, 68, 68, 69, 70, 70), 72, (72, 72, 75, 75, 76, 78, 78), (80, 80, 80, 85, 86, 86, 86), 88, (88, 88, 88, 89, 89, 89, 89)

$Range=Maximum-Minimum=89-62=27$

$Median=\frac{78+80}{2}=79$

$Mean=\frac{\sum x}{n}=\frac{2364}{30}=78.8$

The range for Week 1 is equal to the range for Week 2.

The median for Week 2 is more than the median for Week 1.

The mean for Week 2 is more than the mean for Week 1.

Therefore, the correct option is A.

6 0

3 years ago

One weekend, Paola started reading a book for school. She read 35 pages of the book on Saturday. On Sunday she read 15 pages an

Sidana [21]

35 + 15 x 4 = 60. Paola read 60 pages in total.

6 0

3 years ago

Rotation 180 degrees about the origin

WITCHER [35]

Answer:

Rule for rotation 180° about the origin:

(x, y) → (-x, -y)

Given coordinates:

U(1, 0), V(4, -1), T(1, -3)

Coordinates of the image, apply the rule above:

U'(-1, 0), V'(-4, 1), T'(-1, 3)

4 0

2 years ago

If the ratio of boys to girls at the school is 2:5 and there are 40 boys how many girls are there?

sukhopar [10]

Answer:

100 girls

Step-by-step explanation:

The ratio of boys : girls is 2 : 5.

In other words, boys are 2 parts of the school while girls are 5 parts of the school.

Since there are 40 boys, 2 parts of the school is 40. Thus:

$2p = 40\\p = 20$

1 part is 20.

Since there are 5 parts girls, there are

$5p = 5*20 = 100$

100 girls.

Answer: 100 girls

5 0

3 years ago

Consider the arithmetic sequence 13, 24, 35, ....

MArishka [77]

Answer:

The explicit form for the sequence is: $a_{n}=13+(n-1)(11)$

Step-by-step explanation:

In order to find an explicit form for the given sequence, you have to use the definition of arithmetic sequence and the explicit formula.

An arithmetic sequence is defined as a sequence where the difference of two consecutive terms is a constant.

The explicit formula is:

$a_{n}=a_{1} + (n-1)d$

Where a1 is the first term, d is the common difference and an is the nth term of the sequence.

You have to subtract two consecutive terms to obtain d:

24-13= 11

35-24=11

Therefore d=11

In this case a1=13

Replacing in the formula:

$a_{n}=13+(n-1)(11)$

8 0

3 years ago