Answer:
Candice
Step-by-step explanation:
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.
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
Suppose we have a function defined by f(x)=4x+2 What is the value of f(3) ?
Answer:
um... 12
Step-by-step explanation:
<3
The value of f(3) is given as 14.
What is a function?A function y = f(x) can be defined as a one to one relation between sets X and Y. The set X is called the domain and Y is called the range of the function.
The given function is as below,
f(x) = 4x + 2
In order to find the value of f(3) substitute x = 3 in the function as,
f(3) = 4 × 3 + 2
= 12 + 2
= 14
Hence, the value of the function f(x) at x = 3 is 14.
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Which situation can be represented by -85+85 choose all that apply
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:
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
[tex]\frac{x-2}{x^2+4x-12}[/tex]
Answer:
1/(x+6)
Step-by-step explanation:
I'm assuming you want me to factorize
x^2+4x-12 would factorize into (x-2) and (x+6)
Therefore, the numerator (x-2) would cancel with the part of the numerator (x-2) leaving 1/(x+6)
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
Which phrase is a description of 7t-3?
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
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:
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.
What is the answer to this problem?
Answer:
0.5 if rounded to the nearest tenth
Step-by-step explanation:
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
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
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
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.
Find the median for this data set:
23, 34, 35, 37, 41, 43, 43
The median is
Answer:
37
Step-by-step explanation:
37
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! :)
x/8.5=16/4
what's the answer
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!
Graph the equation y = x2 + 10x + 24 on the accompanying set of axes. You must
plot 5 points including the roots and the vertex.
GIVE ME THE POINTS!!
Answer:
answers steps below and attached for the 5 points
Step-by-step explanation:
y = x² + 10x + 24
x² + 10x + 24 = 0
(x+4) (x+6) = 0
x = -4 or x = -6 .... Roots: (-4 , 0) and (-6 , 0)
y = (x² + 10x + 25) - 1 = (x+5)² - 1 ... y = (x-h)² + k (h,k) is vertex
vertex: (-5,-1)
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
I need help please. I need the the discount and selling price. Thank you
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.
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.
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
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
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
12
13
14
15
A rectangle has a length represented by the function f(x) and a width represented by g(x).
х
3
4.
5
6
P(x) = 2[(f + g)(x)]
16
22
28
34
A(x) = (fºg)(x)
7
18
33
52
Which statement describes the combined functions P(x) and A(x)?
O A(x) is linear, but P(x) is not
OP(x) is linear, but A(x) is not.
O Both P(x) and A(x) are linear.
O Neither P(x) nor A(x) are linear.
Answer:
answer is will be A(x) is linear, but P (x) is not
The function P(x) = 2[(f + g)(x)] will be linear but A(x) = (f º g)(x) will not be linear.
What is function?A function is a relation between a dependent and independent variable. We can write the examples of functions as -
y = f(x) = ax + b
y = f(x, y, z) = ax + by + cz
Given is to that a rectangle has a length represented by the function f(x) and a width represented by g(x).
For the function -
P(x) = 2[(f + g)(x)]
We can see that two linear functions are added. So the resulting function will be a linear function.
and
For the function -
A(x) = (f º g)(x)
We can see that the function g(x) act as a domain for the function f(x). This will no longer make the function f(x) linear. So, it will not be linear.
Therefore, the function P(x) = 2[(f + g)(x)] will be linear but A(x) = (f º g)(x) will not be linear.
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