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
tatiyna
3 years ago
9

AC = Round your answer to the nearest hundredth.

Mathematics
1 answer:
dusya [7]3 years ago
4 0

Answer:

AC ≈ 5.03

Step-by-step explanation:

We can solve the problem above using the trigonometric ratio, they are;

SOH CAH TOA

sin Ф = opposite / hypotenuse

cosФ= adjacent/ hypotenuse

tan Ф = opposite / adjacent

From the diagram above, in reference to angle B;

opposite =AC     and   adjacent =BC

Since we have opposite and adjacent, the best formula to use is

tanФ = opposite / adjacent

tan B = AC  / BC

tan 40 =  AC/ 6

Multiply both-side of the equation by 6

6× tan 40   =  AC/ 6  ×  6

At the right-hand side of the equation, 6 will cancel-out 6 leaving us with just AC

6×tan 40 = AC

5.034598  = AC

AC ≈ 5.03   to the nearest hundredths

You might be interested in
A hose fills a 18-gallon tub in 3 minutes how long will it take to fill a 45 gallon tub
horsena [70]

Answer:

your answer should be 7 or 7.5 minutes.

Step-by-step explanation:

Hope this helps and have a great day

5 0
3 years ago
This figure consists of a rectangle and a quarter circle. What is the perimeter of this figure? Use 3.14 for pi.
Ghella [55]

The area of the given shape is 220.24 square cm.

Step-by-step explanation:

Step 1;

Area of given shape = Area of the rectangle + Area of the quarter circle.

The given rectangle measures a length of 17 cm and a width of 10 cm. The area of any given rectangle is the multiplication of its length and width. Area of the Rectangle = Length * Width = 17 cm * 10 cm = 170 square cm.

The area of any given circle is π times the square of the radius. The radius of this circle is equal to 8 cm.

Area of the circle = π × r² = 3.14 × 8 × 8 = 200.96 square cm.

200.96 square cm is the area of a full circle with a radius of 8 cm. We divide the area by 4 to convert it into a quarter-circle.

Area of the quarter circle = 200.96 square cm / 4 = 50.24 square cm.

So the quarter circle covers an area of 50.24 square cm.

Step 2;

Area of given shape = Area of the rectangle + Area of the quarter circle

Area of given shape = 170 + 50.24 = 220.24 square cm.

5 0
3 years ago
Help with this one!<br><br><br> Show steps if you can pls :)
lianna [129]

Answer:

110%

Step-by-step explanation:

just divide by 2

20/2 = 10

22/2 = 11

so x% of 10 = 11

1.10 just like the last problem

110%

4 0
3 years ago
What should you do first in order to reconcile your checkbook register?
Anarel [89]
First, you need to have your bank statement and your check register.

Then, compare all your deposits from your checkbook register to your bank statement credits to determine the amount of deposit not yet credited by the bank, which is called your Deposit in Transit.

Next, compare all your disbursements from your checkbook register to all the debits in your bank statement to determine the amount of disbursements not yet debited by the bank.

Also, you need to check for any bank charges already debited to your bank account but not yet recorded.
8 0
3 years ago
Josh is hiking Glacier National Park. He has now hiked a total of 17 \text{ km}17 km17, space, k, m and is 2 \text{ km}2 km2, sp
Inga [223]
Multiply the amount hiked by 2.
6 0
3 years ago
Other questions:
  • Can someone help me with these 2 questions please 100% correct only
    11·1 answer
  • How long will it take to have R30 000 for a trip to Europe if I invest R20 000 now at 15% per year,
    15·1 answer
  • Which statement is true about the product (9x2 – 4y2)(3x – 2y)?
    6·1 answer
  • If people have 6 apples and 46 lemons each, how much would 423 people get?<br><br> [URGENT]
    10·1 answer
  • How would you write a unite rate? if the answer is 7. please help so confused!!
    11·2 answers
  • Four sizes of scaled text are shown.
    14·1 answer
  • GUYS!! I KNOW IM SUPER ANNOYING BUT I NEED MORE HELP!!! PWEASEE!!!
    6·2 answers
  • A country's population in 1993 was 204 million. In 2000 it was 208 million. Estimate the population in 2015 using the exponentia
    7·1 answer
  • 1. The mean annual US household income is $72,641. Suppose that the standard deviation is $30,000. a. Find the probability that
    13·1 answer
  • Karl’s math class is playing a number game. Each student is given a number card containing the numbers 1 to 6. The rules of the
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!