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
zysi [14]
3 years ago
11

What is the measure of angle 8 if AB = 7 and AC = 9? Round to the nearest degree.

Mathematics
2 answers:
olga55 [171]3 years ago
5 0

tan(angle) = opposite/adjacent

tan(B) = AC/AB

tan(B) = 9/7

B = arctan(9/7)

B = 52.125 which is approximate

B = 52

--------------------------------------

The final answer is choice D) 52 degrees

Marat540 [252]3 years ago
4 0

the answer is 52°

use the laws of trig

its a right triangle, so cotan 9/7 is 52°

You might be interested in
a bag contains 10 white gold balls and 6 striped golf balls. a golfer wants to add 112 golf balls to the bag. he wants the ratio
wolverine [178]

Answer:70 white golf balls and 42 striped golf balls

Step-by-step explanation:

First we find the ratio of white to striped balls

White golf balls = 10

Striped golf balls = 6

Ratio = 10/6 = 5/3

We are told a golfer wants to add extra 112 balls to the already 16 balls

And the ratio after adding 112 balls must stay the same

First we label the extra golf balls to be added x and y

x = white golf balls

y = striped golf balls

So since we know the 112 balls added is a combination of the extra white golf balls and striped golf balls, we create an equation for that, labelling it (1)

x + y = 112 (1)

And we are told that after putting these extra balls the ratio must remain the same, which is 5/3

which will be (10 white balls + x) divided by (6 striped ball + y) will be equals to 5/3

So we create another equation for this, labelling it (2)

(10+x)/(6+y) = 5/3 (2)

So we have two simultaneous equations

We pick (1)

x + y = 112

We either make x or y the subject of formula, I choose to make x the subject of formula, we label the equation (3)

take y to the other side, causing it to change to -y

x = 112 - y (3)

We then work with (2)

(10+x)/(6+y) = 5/3

We cross multiply

3(10+x) = 5(6+y)

We open the brackets

Making the equation simplified and labelling it (4)

30 +3x = 30 + 5y

Collect like terms

3x -5y = 30-30

3x -5y = 0 (4)

Remember from (3) we know that

x = 112 -y

So we put (3) in (4)

3(112 - y) - 5y = 0

Open bracket

336 -3y -5y =0

336 -8y = 0

Transfer -8y to the other side, changing to +8y

336 = 8y

Divide both sides by 8

336/8 = y

42 = y

y = 42

from (3) we know that x equals 112 - y

So we put y = 42 in (3)

x = 112 - y

x = 112 -42 = 70

x = 70

So therefore number of white golfs balls and striped golfs balls to be added to keep the same ratio is 70 and 42 respectively

4 0
3 years ago
Help pls no links I'll give briliantest to who ever gives me the right answer ​
gladu [14]

Answer:

A. 57 7/9

Step-by-step explanation:

4  1/3 x  3  1/3 = 14  4/9

14 4/9 x 4 = 57 7/9

6 0
2 years ago
_
earnstyle [38]

Answer:

A, B, C

Step-by-step explanation:

whole number: the set of counting numbers, 1, 2, 3, ..., and includes the number 0.

integer: all whole numbers, zero, and all the negatives of the whole numbers: ..., -3, -2, -1, 0, 1, 2, 3, ...

rational: any number that can be written as a fraction of integers

irrational number: a number that cannot be written as a fraction of integers

1.00 is the same as 1

It is:

A whole number

B integer

C rational

6 0
3 years ago
Read 2 more answers
if the sales tax rate is 7.25% in california, then how much would you pay in los angeles for a pair of shoes that cost $39.00
Anna [14]
It would come out to be $41.8275, so if you round it would cost $41.83.
4 0
3 years ago
Ali runs five days a week at the local park's nature trail. The circular trail is 440 yards long. Each day that Ali runs, she ru
SpyIntel [72]

Answer:

15 miles

Step-by-step explanation:

12 * 440 = 5280 (yards every day)

5280 * 5 = 26400 (yards per week)

26400 *0.000568182 = 15 miles

8 0
3 years ago
Other questions:
  • What is the value of x
    13·2 answers
  • <img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B3%7D%20" id="TexFormula1" title=" \frac{1}{3} " alt=" \frac{1}{3} " align=
    8·1 answer
  • What is the length of a segment with endpoints at -4, 6 and 3, 6
    9·1 answer
  • HURRY THIS IS 60 POINTS PLEASE HELP NOW
    15·2 answers
  • What is the solution for 0.45 + 52.12 + 4.1111 + 206 + 0.00029
    12·1 answer
  • Help me if u understand this please
    9·2 answers
  • Find the slope of the line y=1/8-1 show your work
    11·1 answer
  • How do you solve this using a logarithm? :)
    9·1 answer
  • A candle burns down at the rate of 0.5 inches per hour. The original height of the candle was 6 inches.
    12·1 answer
  • Please help meeee …………..
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!