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3 years ago

Find the surface area of the square pyramid shown below.

Mathematics

2 answers:

Igoryamba3 years ago

6 0

The area is ≈378.57.

vladimir1956 [14]3 years ago

6 0

The surface area is 378.57

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Two boys and three girls are auditioning to play the piano for a school production. Two students will be chosen, one as the pian

finlep [7]

Answer:

30% is the correct answer.

Step-by-step explanation:

Total number of boys = 2

Total number of girls = 3

Total number of students = 5

To find:

Probability that the pianist will be a boy and the alternate will be a girl?

Solution:

Here we have to make 2 choices.

1st choice has to be boy (pianist) and 2nd choice has to be girl (alternate).

$\bold{\text{Required probability }= P(\text{boy as pianist first}) \times P(\text{girl as alternate})}$

Formula for probability of an event E is given as:

$P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}$

For $P(\text{boy as pianist})$ , number of favorable cases are 2 (total number of boys).

Total number of cases = Total number of students i.e. 5

So, $P(\text{boy as pianist})$ is:

$P(\text{boy as pianist}) = \dfrac{2}{5}$

For $P(\text{girl as alternate})$ , number of favorable cases are 3 (total number of girls).

Now, one boy is already chosen as pianist so Total number of cases = Total number of students left i.e. (5 - 1) = 4

$P(\text{girl as alternate}) = \dfrac{3}{4}$

So, the required probability is:

$\text{Required probability } = \dfrac{2}{5}\times \dfrac{3}{4} = \dfrac{3}{10} = \bold{30\%}$

6 0

4 years ago

A. 8/17 B. 15/17 C. 15/8 D. 8/15

Vlada [557]

Answer:

A) 8/17

Step-by-step explanation:

cos = adj/hyp

In this problem the unknown angle has a hypotenuse pf 17, 15 as opposite, and 8 as adjacent

8 0

3 years ago

Samira ran 3 more miles than twice the number of miles Ada ran. Which statement makes this comparison using the correct variable

Brilliant_brown [7]

"Samira ran 3 miles more that twice the number of miles Ada ran." This means that to get the number of miles that Samira ran, we will multiply the number of miles that Ada ran and then add 3 to the product.

Assume that Ada ran m miles, the following the steps mentioned above, we can calculate the number of miles that Samira ran as follows:
Samira ran: 2m + 3 miles

Comparing this to the choices, we will find that the correct choice is the second one:
 If Ada ran m miles, then Samira ran 2m + 3 ⁢ miles.

6 0

3 years ago

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The Wellman family is planning a vacation. They will drive from Boston, MA to Tampa, FL (total of 1,336 miles) over 4 days. They

Kay [80]

Answer:240 miles

Step-by-step explanation: the reason they have 240 miles left to drive is because on the first day they drove 365 miles so you would subtract that by the total and you get 971 miles then you subtract 421 miles witch is what they drove on the second day by 971 and you get 550 and then you subtract 550 by 310 miles witch is what they drove on day 3 and then you get 240 miles.

4 0

3 years ago

3) 4 hours worked for $12; 7 hours worked for $28 * o yes

poizon [28]

Answer:

Step-by-step explanation:

12 ÷4= 3

7 x3=21

7 hours = $21

7 0

3 years ago

Read 2 more answers