Answer:
25° and 97°
Step-by-step explanation:
Oblique triangle : any triangle that is not a right triangle
Use the sine rule to find one of the unknown interior angles:
[tex]\dfrac{sin(A)}{a}=\dfrac{sin(B)}{b}=\dfrac{sin(C)}{c}[/tex]
where A, B and C are the interior angles of a triangle, and a, b and c are the sides opposite to the interior angles.
[tex]\implies \dfrac{sin(58)}{12}=\dfrac{sin(B)}{6}[/tex]
[tex]\implies sin(B)=\dfrac{6sin(58)}{12}=0.4240240481...[/tex]
[tex]\implies sin(B)=25.08890446...=25 \textdegree \ \ \textsf{(nearest whole)}[/tex]
Sum of interior angles of a triangle = 180°
⇒ Missing angle = 180 - 58 - 25 = 97°
, Help me please please please
Answer:
[tex]\frac{63}{3} = 21[/tex]
So in every 1min he eat 21 hotdogs
in 3min he can eat 63 hotdogs
in 4min he can eat 84
because 21 + 21 + 21 + 21 = 84
correctly simplify the expression 1/2 2 x 1/2 x 12 3
Answer:
18
Step-by-step explanation:
1/2 x 12 x 3
1 x 12 x 3/2 -divide all by 2
12 x 3/2 - simplify
36/2
answer: 18
he area of a rectangular piece of metal is 20 square centimeters. The perimeter is 18 centimeters. What are the dimensions of the piece?
Answer:
5 cm by 4 cm
Step-by-step explanation
A = L x W 20 = L x W
P = 2L + 2W (18 = 2L + 2W)/2
9 = L + W W = 9 - L
20 = L (9 - L) 20 = 9L - L^2
L^2 - 9L + 20 = 0 (L - 4)(L - 5) = 0
L = 4 L = 5
The longer one is the length, so L = 5, and W = 4.
Which regions have populations with 9 as the power?
Africa and Asia
I did it today in my class
Write an equation the describes the line passing through point (1/2, 0) with slope - 1
Answer:
Your equation is [tex]y = -1x + \frac{1}{2}[/tex] or [tex]y = -1x + .5[/tex]
Step-by-step explanation:
Equation of the line: [tex]y=mx+b[/tex]
Add in the slope in place of ([tex]m[/tex])
[tex]y=-1x+b[/tex]
Add in the x value of the given point in place of ([tex]x[/tex])
[tex]y=(-1)\frac{1}{2}+b[/tex]
Add in the y value of the given point in place of ([tex]y[/tex])
[tex]0=(-1)\frac{1}{2} + b[/tex]
—
Solve:
[tex]0=(-1)\frac{1}{2} +b[/tex]
Multiply -1 and [tex]\frac{1}{2}[/tex]
[tex]-1 *\frac{1}{2}=-\frac{1}{2}[/tex]
So,
[tex]0=-\frac{1}{2} +b[/tex]
Now, add [tex]-\frac{1}{2}[/tex] to 0
[tex]0=-\frac{1}{2} +b[/tex]
[tex]+\frac{1}{2}[/tex] [tex]+\frac{1}{2}[/tex]
---------------------------
[tex]\frac{1}{2} = b[/tex]
Replace ([tex]b[/tex]) with [tex]\frac{1}{2}[/tex]
Your equation is [tex]y = -1x + \frac{1}{2}[/tex] or [tex]y = -1x + .5[/tex]
Hope this helps! Brainliest would be much appreciated! Have a great day! :)
Someone help please 15 points no links
Answer:
see explanation
Step-by-step explanation:
A) 1.25x is the equation. 10-5/8-4= 5/4. and so it is 1.25 for the slope.
B) 1.25(-4)= $-5
C) it does not make sense since you cannot have negative bags of candy
Convert mixed number 1 1/4 x 2/3
Answer:
5/4 x 2/3
it just means take the 1 and make it 4/4 instead then add the other 1/4
What is the 2nd term of the linear sequence below? − 5 , − 7 , − 9 , − 11 , − 13
Answer:
-15
Step-by-step explanation:
it is subtracting by 2
Solve for x.
7.82x+1.83<15.42
Enter your answer in the boxes to correctly state the solution. Round your final answer to the nearest hundredth.
x
Answer:
26.44%
Step-by-step explanation:
The change in temperature is:
1535 - 1214 = 321
This change represents a percent increase:
321/1214*100% = 26.44% (rounded)
A watch, after allowing a discount of 15% on its marked price, was sold at a gain of 20%. Had it been sold after allowing 25% discount there would have been gain of Rs. 120. Find the cost price of the watch.
Answer:
Answer:1200
Step-by-step explanation:
Consider the cost price to be x.
1st equation x - (15/100)x = x + (20/100) ...15% discount and gain of 20%
2nd equationx - (25/100)x = x + 120 ....25% discount and a gain of 120Rs
Solving above equations by subtracting we get
(10/100)x = (20/100)x - 120
Solving LHS and RHS..(10/100)x =120
x=1200
What is the discount of a guitar with an original price of $95 and a discount of 15%.
Answer:
$80.75 dollars
Step-by-step explanation:
Given the following question:
Initial price = $95
15% discount
In order to find the answer, we have to find 15% of 95.
[tex]\frac{15\times95}{100} =15\times95=1425\div100=14.25[/tex]
[tex]95-14.25=80.75[/tex]
[tex]g=80.75[/tex]
The guitar (after a 15% discount) costs "$80.75 dollars."
Hope this helps.
Unknown Angle Problems (with Algebra)
2x = 2 x 25?
50 + ? = 150
50 + 100 = 150
x = 50?
2x + 50 = 150
2 x 50 + 50 = 150
100 + 50 = 150
The answer is x = 50.The measure of x is 50.
What are Vertical Angles?Vertical angles are generated by the junction of two straight lines that are not contiguous. Vertical angles are positioned across from each other in the corners of the "X" created by two straight lines. Because they are opposite each other, they are also known as vertically opposite angles.
Using Vertical Angle property as
(50+ 2x) = 150
So, subtract 50 from side we get
50 + 2x - 50= 150 - 50
2x = 100
Now, divide both side by 2 we get
2x/2 = 100 / 2
x = 50
Learn more about Vertical angle here:
https://brainly.com/question/8552615
#SPJ2
How would you turn a fraction into a decimal? Give a detailed explanation
Answer:
The way I learned was by determining the denominator such 7/10 would be 0.7 because 7 is located in the tenths place.
/G/To convert a fraction to a percent, first divide the numerator by the denominator. Then multiply the decimal by 100 .
Rewrite the set N by listing its elements. Make sure to use the appropriate set notation.
N={z | z is an integer and -3
Answer:
please see the analysis
Step-by-step explanation:
Solution:
the Integer between [tex]-3So [tex]Z=-2 , -1 ,[/tex]
So [tex]P=\left\{-2\middle|-1\right\}[/tex] {write all the value of Z}
Alan saves $180 each month. How much has Alan saved after 3 years?
$540
O $1,620
O $3,240
O $6,480
Answer:
$6,480
Step-by-step explanation:
[tex]180(12)(3)=6,480[/tex]
Hope this helps
Answer:
#540
Step-by-step explanation:
Alan saved $180 in each month
and we have 12 months in a year so we say
$180=12
x=36
here we cross multiply then we have 180 * 36 which is equal to $6480 after that we divide it by 12 and that's $540
Note: I got 36 months because 12 months in a year so multiply by three years that's 36 months
n a survey, 29 people were asked how much they spent on their child's last birthday gift. The results were roughly bell-shaped with a mean of $32 and standard deviation of $15. Construct a confidence interval at a 90% confidence level. Enter your answer as an interval (i.e., parentheses) accurate to one decimal place. Confidence interval =
Answer:
($29.698276497364876985)
Step-by-step explanation:
i actually dont know but thnks for the points BTW
a gardener is planting two types of trees type A is 5 feet tall and grows at a rate of 5 inches per year. Type B is 4 feet tall and grows at a rate of 8 inches per year.
Algebraically determine exactly how many years it will take for these trees to be the same height
Answer:
the answer is 4 years
Step-by-step explanation:
8.0 times 10 negative 5 in standard form
Answer:
75
Step-by-step explanation:
hope this helps
A square playground has an area of 10,000ft^2. What is the length of one of the slides of the playground?
Answer:
100 feet in length
Step-by-step explanation:
Given the following question:
[tex]A=s^2[/tex]
In order to find the area of the square we have to multiply two of the lengths by itself.
[tex]A=s^2[/tex]
[tex]A=100^2[/tex]
[tex]A=100\times100[/tex]
[tex]100\times100=10000[/tex]
[tex]=10000ft^2[/tex]
Which means one side of the given square is "100 feet."
Hope this helps.
Bob's gift shop sold a record number of cards for Mother's Day. One salesman sold 33
cards, which was 5% of the cards sold for Mother's Day. How many cards were sold
for Mother's Day?
Answer:
660
Step-by-step explanation:
33/0.05
Need Help !!
Question 1 )
If sin θ – cos θ = 0, find the value of sin4 θ + cos4 θ. (2012, 2017D).
Notes ;
Kindly don't spam.
Need Authentic Answer.
Don't copy from other website , Give answer in ur own logic ....
[tex] \huge \mathbb{\green{\fbox{\pink{ANSWER}}}} [/tex]
[tex] \\ \: \: \implies \: sin^{4} \: \theta + cos^{4} \: \theta \rightarrow \blue{ \frac{1}{2} } [/tex]
[tex] \\ \\ \: \large \mathfrak \green{Solution} : [/tex]
[tex] \\ \bf \: Given : [/tex]
[tex] \\
\sf \: \: \bf sin \: \theta - cos \: \theta = 0 [/tex]
[tex] \\ \sf \rightarrow \: sin \: \theta = cos \: \theta [/tex]
[tex] \\ \sf \rightarrow \: \frac{sin \: \theta} {cos \: \theta} = 1 [/tex]
[tex] \\ \sf \rightarrow \: tan \: \theta = 1 [/tex]
[tex] \\ \sf \rightarrow \: tan \: \theta = tan \: 45 \degree [/tex]
[tex] \\ \sf \rightarrow \: \theta = 45 \degree [/tex]
[tex] \\ \\ \therefore \: sin^{4} \: \theta + cos^{4} \: \theta [/tex]
[tex] \\ \sf \rightarrow \: sin^{4} \: 45 \degree + cos^{4} \: 45 \degree [/tex]
[tex] \\ \\
\sf \rightarrow \: (\frac{1}{ \sqrt{2} } ) ^{4} +(\frac{1}{ \sqrt{2} } ) ^{4} [/tex]
[tex] \\ \sf \rightarrow \: ( \frac{1}{ \cancel {\sqrt{2} }} )^{ \cancel{2}} ( \frac{1}{ \cancel{ \sqrt{2} }} )^{\cancel{2}} + ( \frac{1}{ \cancel {\sqrt{2} }} )^{ \cancel{2}} ( \frac{1}{ \cancel{ \sqrt{2} }} )^{\cancel{2}} [/tex]
[tex] \\ \\
\sf \rightarrow \: \frac{1}{2} × \frac{1}{2} + \frac{1}{2}× \frac{1}{2} [/tex]
[tex] \\ \\ \sf \rightarrow \: \frac{1}{4} + \frac{1}{4} [/tex]
[tex] \\ \\ \sf \rightarrow \: {\cancel \frac{2} {4}}[/tex]
[tex] \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf \implies \fbox{\pink {\frac{1}{2}}} [/tex]
The value of [tex]sin^4\theta+cos^4 \theta[/tex] will be [tex]\frac{2}{(\sqrt{2})^4}[/tex]
Trigonometry identityGiven the expression
sin θ – cos θ = 0
This can be simplified further as:
sin θ = cos θ
sin θ/cosθ = cosθ/cosθ
tanθ = 1
θ = arctan(1)
θ = 45 degrees
To evaluate [tex]sin^4\theta+cos^4 \theta[/tex], substitute the value of theta into the expression to have:
[tex]sin^4\theta+cos^4 \theta\\=sin^445+cos^4 45\\=(\frac{1}{\sqrt{2}} )^4+(\frac{1}{\sqrt{2}} )^4\\=2(\frac{1}{(\sqrt{2})^4} )[/tex]
Hence the value of [tex]sin^4\theta+cos^4 \theta[/tex] will be [tex]\frac{2}{(\sqrt{2})^4}[/tex]
Learn more on trigonometry identity here: https://brainly.com/question/7331447
Help!!! Use 1st and 2nd differences to determine if the following table is linear, quadratic or neither.
Given the second difference, the table is quadratic.
What are linear and quadratic equations?A linear function is a function that has a single variable raised to the power of 1. An example is x + 2. A quadratic function is a function that usually has a single variable and it is raised to the power of 2. An example is 2x² + 10x + 25.
What are the first and second differences?First differences:
21 - 11 = 10
35 - 21 = 14
53 - 35 = 18
75 - 53 = 22
Due to the fact that the first difference is not the same, the function is not a linear function.
Second difference:
14 - 10 = 4
18 - 14 = 4
22 - 18 = 4
Due to the fact that the second difference is fairly constant, the function is a quadratic function.
To learn more about linear functions, please check: https://brainly.com/question/26434260
Please answer 25 and 26
Help????????????????
Answer:
Question 3 - true
Step-by-step explanation:
It is onto function.
solve system of equations:
10x + 8y = -10
7x + 10y = 15
Answer:
(x,y)=(-5,5)
Step-by-step explanation:
[tex]10x + 8y = -10\\\underline{7x + 10y = 15}\\-44y=-220\\y=\cfrac{220}{44} \\y=5[/tex]
[tex]10x+8y=-10\\10x+8\times 5=-10\\10x+40=-10\\102=-10-40\\10x=-50\\x=-50/10\\x=-5[/tex]
Hope it helps!
What is the value of x?
Enter your answer in the box.
x =
Answer:
Step-by-step explanation:
2x+2=3x-52
2+52=3x-2x
54=x
Trevor’s total employment compensation is $33,500. If Trevor has no job expenses and his gross pay is $28,600, then his total employee benefits are _____% of his gross pay. A. 4. 9 b. 8. 5 c. 14. 6 d. 17. 1.
The total employee benefits of Trevor with no job expenses and gross pay of $28600 is 17.1%. Option d is the correct option.
What is total employment compensation?Total employment compensation is equal to the sum of gross pay and employment benefit subtracted with any job expenses.
Trevor’s total employment compensation is $33,500. Trevor has no job expenses and his gross pay is $28,600.
Let the total employee benefits is x. Therefore, using the above definition of total employment compensation,
[tex]33500=28600+x-0\\[/tex]
Solve it for x as,
[tex]x=33500-28600\\x=4900[/tex]
In the percentage form,
[tex]x=\dfrac{4900}{28600}\times100\\x=17.1\%[/tex]
Hence, the total employee benefits of Trevor with no job expenses and gross pay of $28600 is 17.1%. Option d is the correct option.
Learn more about the employment compensation here;
https://brainly.com/question/17415754
A'B'C' is the image of AABC under a rotation about the origin, ( 0,0).
Determine the angles of rotation.
Choose all answers that apply.
Answer:
90° CCW
Step-by-step explanation:
The angle from C to the origin to C' is a right angle when measured counterclockwise (in the usual direction).
ΔA'B'C' is a rotation of ΔABC 90° CCW.
__
This is fully equivalent to a rotation of 270° CW.
Is she correct please explain why or why not?
Answer:
correct
as if 0 , =>0+5<6
if 1 , =>1+5=6
< or = is acceptable
What is the value represented by the letter A on the box plot of the data?
10, 12, 15, 21, 24, 30
А
B
с
D
E
Enter your answer in the box.