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
crimeas [40]
3 years ago
6

Given: ∆ABC, AB = 8 m∠C = 90° m∠B = 40° Find: Perimeter of ∆ABC

Mathematics
2 answers:
iren [92.7K]3 years ago
6 0

Your answer is 19.270656422

first, you have that sin(40)=x/8, the leg opposite and the hypotenuse. the your x is 5.142300877. To find the other leg, you do tan(40) =x/5.142300877, which is the same thing as x= 5.14230087/tan(40). your x will be 6.128355545. the only thing to do is add up the sides, and you get 19.270656422]

Naddik [55]3 years ago
5 0

Answer:

The perimeter of the triangle ABC is 19,27 m

Step-by-step explanation:

In order to solve this we first have to create a triangle rectangle, check the image attached to understand it better, and with that we use law of sines in order to calculate the other sides of the triangle:

As you can see we know that the hypothenuse is 8 m, and we have both angles, so for the angle that is opposed to the 50º angle we will use 8cos50=5,1423 m.

For the side that is opposed to the 40º angle we will use 8cos40:6,1283m

SO to calculate the perimeter we just add the three sides:

5,1423 + 6,1283 + 8= 19,27

The perimeter of the triangle ABC is 19,27 m

You might be interested in
The table shows interest owed for a home improvement loan based on how long it takes to pay off the loan.
Alexxandr [17]
Remember that  the formula for simple interest is:
I=prt
Where I is the interest to paid, p is the loan, r is the interest rate (in decimal), and t is the time (in years).

A. We know that the interest rate for a loan of 9 months is 2.9%, but we need to convert that rate to decimal. To do that just divide the interest rate by 100%:
\frac{2.9}{100} =0.029
Next, we are going to find the time t in years. Since the period of time is 9 months, we are going to dive by 12, the number of months in a year, to obtain the time in years:
t= \frac{9}{12} =0.75
Now, we just need to replace the values in our formula to find the interest owned:
I=(900)(0.029)(0.75)=19.58
We can conclude that <span>the interest owed for a home improvement loan of $900 after 9 months is $19.58.
</span>
B. Similarly:
r= \frac{3.1}{100} =0.031
t= \frac{18}{12} =1.5
I=(2500)(0.031)(1.5)=116.25
We can conclude that the interest owed for a home improvement loan of $2500 after 18 months is $116.25.

C. Similarly:
r= \frac{2.4}{100} =0.024
t= \frac{6}{12} =0.5
I=(5600)(0.024)(0.5)=67.2
We can conclude that the interest owed for a home improvement loan of $5600 after 6 months is $67.2
7 0
2 years ago
Please help!<br><br> 7|-7x-3|=21
arlik [135]

Divide by 7.

... |-7x -3| = 3

Unfold to two equations.

... -3 = -7x -3 . . . . . the content of the absolute value is negative

... 0 = -7x . . . . . . . . add 3

... 0 = x . . . . . . . . . . divide by -7

and

... 3 = -7x -3 . . . . . . the content of the absolute value is positive

... 6 = -7x . . . . . . . . add 3

... -6/7 = x . . . . . . . . divide by -7

The solutions are ...

... x = -6/7 or x = 0

_____

Many graphing programs will happily tell you the locations of x- and y-intercepts, so it is convenient to rewrite the equation so its value is zero at the solution points. We can do that by subtracting the right side constant to get ...

... 7|-7x -3| -21 = 0

7 0
3 years ago
Lewis checked the balance of his savings
vichka [17]

Answer:

Linear

Step-by-step explanation:

The balances each go up by $110

300 + 110 = 410

410 + 110 = 520

520 + 110 = 630

4 0
3 years ago
Ian's monthly allowance is $21. In January he starts saving for a birthday gift in June. Each month he saves of his allowance. T
Dmitrij [34]

Answer:

<h2>Ian will have enough money to buy the gift</h2>

Step-by-step explanation:

Step one:

given

monthly allowance= $21

from January to June= 6 months

total savings = 21*6= $126

cost of gift = $110

Step two:

Ian will have enough money to buy the gift

since he saved $126 which is greater than the cost of the gift of $110

he would have a balance of $16

4 0
2 years ago
The sum of six number is 33. What is their mean?
lara [203]

Answer:

mean = 33/6 =5.5

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Other questions:
  • CupCaking, a cupcake bakery, uses the equation below to determine the price of cupcakes, where y represents the total price in d
    10·1 answer
  • A violin originally costs $700, but it is on sale for 15% off. If a customer buying the violin has a gift card for $60.00, what
    15·2 answers
  • Can you please answer all pls
    14·1 answer
  • Justin and Pedro each launched a toy rocket into the air. The height of Justin’s rocket is modeled by the equation h = –16t2 + 6
    5·2 answers
  • 8(-2+ 7) + 10(7n + 4)
    11·2 answers
  • HELP PLEASE<br>Solve the compound inequality <br>3r + 2 &lt; 5 or 7r - 10 &gt; 60​
    12·1 answer
  • Properties of equality<br> e + 7 = 15
    15·2 answers
  • Find the volume of the largest right circular cone that can be inscribed in a sphere of radius 3?
    15·2 answers
  • What percentage of the eggs hatched?
    12·1 answer
  • Write the converse.
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!