1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Lostsunrise [7]
2 years ago
7

The area of the base of the oblique pentagonal pyramid is 50 cm^2 and the distance from the apex to the center of the pentagon i

s 6 square roots of 2 cm the measure of angle ACB is 45° what is the height of AB

Mathematics
1 answer:
Verdich [7]2 years ago
5 0
The complete question in the attached figure

Part a) 
we know that
ABC is a right triangle
∠ACB=45°
AC=hypotenuse------> 6√2 cm
sin 45=AB/AC-----> AB=AC*sin 45----> AB=6√2*√2/2----> AB=6 cm

the answer part a) is
AB=6 cm

Part b) 
we know that
volume of the pyramid=(1/3)*Area of the base*height
area of the base=50 cm²
height=6 cm
so
volume of the pyramid=(1/3)*50*6----> 100 cm³

the answer part b) is 
100 cm³

You might be interested in
Ella has a part-time job selling cupcakes at a cart in the park. She is paid $25 for a shift plus a fee of $0.25 for each cupcak
mojhsa [17]

9514 1404 393

Answer:

  A) t = 0.25c +25

  B) c = 52

  C) 3 weekday shifts

Step-by-step explanation:

A. The amount Ella earns is $0.25 per cupcake, so for c cupcakes, that is ...

  0.25c

In addition, she is paid $25, so her total amount she is paid is ...

  t = 0.25c +25

__

B. In order to earn $38, the number of cupcakes sold must be ...

  38 = 0.25c +25

  13 = 0.25c . . . . . . subtract 25

  52 = c . . . . . . . . . multiply by 4

Ella sold 52 cupcakes to earn $38.

__

C. On one of the average weekdays, Ella could be expected to earn ...

  t = 0.25(36) +25 = 34

Then for 3 weekday shifts, her earnings would be 3($34) = $102. (It would take Ella 3 weeks to earn $300.)

On one of the average weekend shifts, Ella could be expected to earn ...

  t = 0.25(62) +25 = 40.50

Then for 2 weekend shifts, her earnings would be 2($40.50) = $81. (It would take Ella 4 weekends to earn $300.)

Ella would earn $300 more quickly by working weekday shifts.

8 0
2 years ago
Which best describes how to find an equation of the line shown?
Xelga [282]

Answer:

<h2>A</h2><h2 />

Step-by-step explanation:

m (slope) =<u>  rise  </u>  =  <u>  y  </u>  = <u>  y₁ - y₁ </u>

                   run           x        x₁ - x₁

to get y = mx

therefore, the answer to the question is :

A. The slope m is rise over run, so y over x =m.

    Solve for y to get y=mx.

7 0
3 years ago
Go online for Step-by-Step Solutions
nataly862011 [7]

Answer:

56

Step-by-step explanation:

7 0
3 years ago
Three friends all have same ages that are consecutive integers. The sum of their ages is 57. What is the age of the oldest frien
quester [9]

Answer:

20 yrs old

Step-by-step explanation:

7 0
3 years ago
PLEASE HELP ASAP!!!!!!!!!
exis [7]

Answer:

I think B or C

Step-by-step explanation:

8 0
3 years ago
Other questions:
  • Which of the following is not an example of a quadratic inequality?
    7·2 answers
  • NEED URGENT HELP!! WILL GIVE BRAINLIEST
    14·2 answers
  • A box contains 4 green shirts, 3 blue shirts, 3 white shirts, 5 pink shirts, 2
    15·1 answer
  • Which statements are true about exponential functions? Check all that apply.
    7·2 answers
  • The distance around a racetrack is 2/3 of a mile. How many laps must you run around the track if you want to run six miles?
    10·1 answer
  • HEY GUYS I NEED HELP WIT THIS PLZ HELP ME??!! 20 points!!
    5·1 answer
  • Stacey had 3 cakes for her party, She had 1/8 of a cake left after the party. How much cake was eaten at her party?​
    6·2 answers
  • on monday janelle earned $16 for 2 hours of baby sitting. getting payed at the same rate if she wanted to make 40$ babysitting o
    10·1 answer
  • U=[Whole numbers from 1 to 14 inclusive]
    8·1 answer
  • 1. Calculate means to<br> A. Estimate<br> B. Solve<br> C. Guess<br> D. Use a calculator<br> the po
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!