Please help !
Find a.
Round to the nearest tenth:
27 cm
102
28
a = [? ]cm
Law of Sines: sin A
sin C
sin B
b
a
A=?
Given:
In the given triangle the measure of two angles are 102 degree and 28 degrees and the sides of the triangle are a, 27 cm, c.
To find:
The value of a.
Solution:
Let the given triangle be ABC, such that,
[tex]m\angle B=28^\circ[/tex]
[tex]m\angle C=102^\circ[/tex]
[tex]b=27\ cm[/tex]
Using angle sum property of triangles, we get
[tex]m\angle A+m\angle B+m\angle C=180^\circ[/tex]
[tex]m\angle A+28^\circ+102^\circ=180^\circ[/tex]
[tex]m\angle A=180^\circ-28^\circ-102^\circ[/tex]
[tex]m\angle A=50^\circ[/tex]
According to the Law of Sines:
[tex]\dfrac{\sin A}{a}=\dfrac{\sin B}{b}[/tex]
[tex]\dfrac{\sin 50^\circ }{a}=\dfrac{\sin 28^\circ }{27}[/tex]
[tex]\dfrac{27\times \sin 50^\circ }{\sin 28^\circ}=a[/tex]
[tex]\dfrac{27\times \sin 50^\circ }{\sin 28^\circ}=a[/tex]
[tex]a\approx 44.06[/tex]
Therefore, the value of a is about 44.06 cm.
In 2009, Tanvi paid $1,900 in federal income tax. In 2010, she paid 16% more than in 2009. How much did Tanvi pay in 2010?
PLZ NEED ASAP AND EXPLAIN STEP BY STEP!! Thank you!
In 2009- She paid $1900
She paid 16% more in 2010
16/100*1900=304
She paid $304 extra
$1900+$304
=$2204
Answer: In 2010 Tanvi paid $2204
Sylvia made 32 of her 50 free throws at basketball practice.
What percent of her free throws did she miss?
Answer: 36%
Step-by-step explanation: A simple way to figure out is to do 32/50 times 2. This makes it 64/100. 100 minus 64 is 36 which is the percent on how much free throws she mised
Explain whether we would rather have the solution to 3x=7 expressed as a fraction or as a repeating decimal.
Choose the correct answer below.
A.It depends on the context. In most situations, is preferred as a solution. However, when talking about the unit price, we might prefer $2.33 or $2.34 as a solution.
B. The repeating decimal 2.3 is preferred as a solution under any circumstances.
C.The fraction 7/3 is preferred as a solution in every situation.
D. Both 7/3 and 2.3 repeating decimal are preferred as solutions because they are equivalent.
Answer:
A
Step-by-step explanation:
While fractions are more exact, it will always depend on the scenario. You aren't going to give the amount of money something is as a fraction, that will always be a decimal. However, in most math circumstances, fractions can get more straight to the point since there is no such thing as a truly repeating fraction.
A convex polyhedron has 18 edges and 4 more vertices than faces. How many faces does the polyhedron have?
Euler’s formula: V + F = E + 2
8
12
14
16
Answer:
8 faces
Step-by-step explanation:
F = # faces
4 + F + F = 18 + 2
2F + 4 = 20
2F = 16
F = 8
Answer:
8
Step-by-step explanation:
got it right on test
If x plus 3/4 = 1, then which point on the number line could be x?
Answer:
[tex]x = \frac{1}{4}[/tex]
Step-by-step explanation:
Step 1: Subtract [tex]\frac{3}{4}[/tex] from 1
[tex]1 - \frac{3}{4}\\\\= \frac{1}{4}[/tex]
Therefore, the point could be [tex]\frac{1}{4}[/tex]
PLEASEE, i’ve been struggling with this for a long time. What base and height should I use guys?! Pls dont you dare to scam me or you get a report
Ima mark brainliest ;-;
Answer:
3 height
7 Base
Which situation can be represented by -85+85 choose all that apply
Lila plans to open an account with a deposit of $12,000. She plans to invest the money for 8 years in one of the following accounts:
An account that pays an annual simple interest of 7.5%, or
An account that pays 6% interest compounded annually.
If Lila invests in the account that will earn her more interest over these 8 years, how much interest will she earn?
9514 1404 393
Answer:
$7200
Step-by-step explanation:
The amount of simple interest can be found from ...
I = Prt . . . . . . . where principal P is invested at annual rate r for t years
__
The amount of compound interest can be found from ...
I = P((1 +r)^t -1) . . . . . same variable definitions
__
The amount of simple interest earned is ...
I = 12000·0.075·8 = 7200
The amount of compound interest earned is ...
I = 12000(1.06^8 -1) ≈ 7126.18
In this scenario, the simple interest account earns more interest. If Lila chooses that one, the amount of interest earned is $7200.
The smaller arrow is a scale drawing of the larger arrow. What percent of the area of the larger arrow is the area of
Answer:
the answer is 43%
Step-by-step explanation: The answer is 43 and if you look up on you will find it because i know the answer
ASAP pls help me giving brainliest
Answer:
4 pounds of flour does not equal 6 pounds of flour
or
4 pounds of concrete is lighter than 6 pounds of concrete
Step-by-step explanation:
Which of the following is equivalent to 19 L?
A. 1,900 mL
B. 0.019 mL
C. 19,000 mL
D. 0.0019
the answer is A which is 1900 ml
Which property does this represent: (19 x 5) x 2 = 19 x (5 x 2)
Answer:
Associative Property of Multiplication
Step-by-step explanation:
The associative property of multiplication means that no matter where you put the parenthesis in the equation, the answer will remain the same.
Hope this helps! :)
Complete this table. FRACTION DECIMAL PERCENT 3. (a) 0.6 (b) (99) 4. (a) (b) 5% (99)
Answer:
for number 3 fraction is ⅗ and percentage is 60%
for number 4 the fraction is 1/20 and the decimal is 0.05
Step-by-step explanation:
hope it will help
should I show the working?
Look at the image, HELP PLEASE.
Answer:
1/2
Step-by-step explanation:
Well, First let us find the amount of numbers in a die greater than 3.
Remember greater than 3 does not include 3.
We have 3 numbers, 4,5,6 that are greater than 3.
The probabilty of getting a rolling a number greater than 3 is 3/6.
The probability of the coin landing on heads is 1/2.
BUT, the problem is only requiring for you to find the probabilty of rolling a dice greater than 3. (key words)
Which is 3/6 or simplified to 1/2.
Nancy’s nut store sells peanuts for $2 per pound and cashews for $10 per pound. The store sells a peanut - cashew mixture for $7 per pound. How many pounds of peanuts and how many pounds of cashews should be used to create 40 pounds of the mixture? I’m
9514 1404 393
Answer:
25 pounds cashews15 pounds peanutsStep-by-step explanation:
Let c represent the number of pounds of cashews in the mix. Then 40-c is the number of pounds of peanuts. The total cost of the mix is ...
10c +2(40 -c) = 7(40)
8c +80 = 280 . . . . simplify
c +10 = 35 . . . . . . . divide by 8
c = 25 . . . . . . . . . . subtract 10
40-c = 40-25 = 15 . . . . pounds of peanuts
25 pounds of cashews and 15 pounds of peanuts should be used in the mix.
apples are bought by a fruit shop for 25 cents each and resold for 33
cents each ? what is the selling price
Answer:
8 cents
Step-by-step explanation:
i'm going to assume you mean the value the store gets from selling the apples
33 - 25 =8
Nathan bought 12 books for a total of $60. At this rate, what is the cost of 4 books?
I NEED THIS SOON PLEASE I'M BEGGING!!!!!
Answer:
$20
Step-by-step explanation:
divide 60÷12 =5 gives the cost of one book
multiply 5×4=20
A triangle has base angles of 52.5 degrees each. What is the measurement of the third angle?
Answer:
75 degrees
Step-by-step explanation:
52.5+52.5= 105. 180-105= 75 degrees.
The Answer is 75 degrees
Find the median for this data set:
23, 34, 35, 37, 41, 43, 43
The median is
Answer:
37
Step-by-step explanation:
37
Examine the figure of two parallel lines cut by a transversal.
What is the value of x?
Answer:
50
Step-by-step explanation:
2x+10+2x-30=180
4x-20=180
4x=200
x=50
Answer:
2x-30+2x+10=180[sum of angle of co interior angle is supplementary]
4x=180+20
x=200/4=50
x=50
What is the area of the obtuse triangle given below?
2 9
Answer:
The area is 9 unit squared
Step-by-step explanation:
Given
The right parameters are:
[tex]Base = 2[/tex]
[tex]Height = 9[/tex]
Required
The area of the triangle
This is calculated as:
[tex]Area = 0.5 * Base * Height[/tex]
So, we have:
[tex]Area = 0.5 * 2 * 9[/tex]
[tex]Area = 9[/tex]
Hence, the area is 9 unit squared
x/8.5=16/4
what's the answer
What is the answer to this problem?
Answer:
0.5 if rounded to the nearest tenth
Step-by-step explanation:
Which phrase is a description of 7t-3?
The Hiking Club plans to go camping in a State park where the probability of rain on
any given day is 3/4. What is the probability that it will rain on at most one of the
four days they are there? Round your answer to the nearest thousandth.
Answer:
3/4 or 0.75
Step-by-step explanation:
What is 2÷5/12?(pls help i rly dont wanna go to summer school)
Answer:
4.8
Step-by-step explanation:
Answer:
0.033 is the answer.
Step-by-step explanation:
2/5=0.4
0.4/12=0.033
Have a nice day!
what is the midpoint of the line segment with endpoints(-5.5,-6.1) and (-0.5,9.1)?
Answer:
Formula = (x1+x2 , y1+y2)
2. 2
Step-by-step explanation:
(-5.5 -0.5. ,-6.1+9.1)
2. 2
(-6. 3 )
2 , 2
m= (-3, 3 )
2
I FOUND ANOTHER SCAMMER!!!
they're everywhere now
Answer:
wow okay. I just want points tbh
I need help please. I need the the discount and selling price. Thank you