Answers
Answer:
68.2
Step-by-step explanation:
You can use a^2+b^2=c^2 to find the length of the missing side, where c^2 is the hypotenuse (side 14).
5^2+x^2=14^2
25+x^2=196
x^2=196-25=171
x=13.0 (rounded)
Next, use one of sin or tan to find the missing angle.
Sin0=opposite/hypotenuse
Sin0=13/14
0=sin^-1(13/14)
0=68.213 (rounded)
The value of the angle asked is 69°.
Given is a right triangle, with base = 5 units and the hypotenuse is 14 units,
We need to find the angle θ which is between the base and the hypotenuse,
To find the angle θ between the base and the hypotenuse of a right triangle, we can use the trigonometric function cosine (cos).
The cosine of an angle is defined as the ratio of the length of the adjacent side to the length of the hypotenuse.
In this case, the base of the triangle is the adjacent side, and the hypotenuse is given as 14 units.
Therefore, we can use the following formula:
cos(θ) = adjacent/hypotenuse
Plugging in the values we know:
cos(θ) = 5/14
To find the angle θ, we need to take the inverse cosine (arccos) of both sides:
θ = arccos(5/14)
θ = 69°
Hence the value of the angle asked is 69°.
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Related Questions
Dad is getting food ready for my birthday party! Including me, there will be 14 people at the party. Dad is baking cupcakes for us! He can bake 16 cupcakes per batch.
How many batches should I tell Dad to make so we can each have 5 cupcakes?
Answers
Answer:
5 batches
Step-by-step explanation:
fist to find how many cupcakes you need multiply the amount of people times amount of cupcakes per person
(if rule is 5 per person)
14x5=70
then you want to find how many batches to make
70/16=4.375
but you and make 0.375 batches so just make 1 more batch
so you should tell your dad to bake 5 batches
Let a be a number.
a*23 x a*8 =
Answers
Answer:
If a is a number then
[tex]a^{23} * a^{8} =a^{23+8} =a^{31}[/tex]
Step-by-step explanation:
Answer:
a=31
23+8=31
...........
What are the x-coordinates of the solutions to this system of equations?
x2 + y² = 36
y = x - 6 (1 point)
Select one:
a. 2 and 0
b. 6 and 2
c. 6 and -2
d. 6 and 0
Answers
y=(x-6)
substitute y in first equation
x^2+(x-6)^2=36
x^2+x^2-12x+36=36
simplify and factor
2x(x-6)=0
so x=0, x=6
A mortgage has an initial balance of $150,000 and is charged 5% yearly interest applied monthly. If a person makes a payment of $1000 each month, which of the following is closest to the mortgage balance after 3 months of payments?
(1) $145,165
(2)$147,520
(3)$148,160
(4)$148,870
Answers
A mortgage loan is termed as a loan that is used to purchase or maintain a home, land or other pieces of real estate.
The borrower agrees to repay the amount of loan to the lender over a period of time, usually in a series of regular installments divided into principal and interest. The property is used as security for the loan.
Calculation of the amount of mortgage is as follows:
[tex]\text{Interest}= \text{Mortgage amount} \times\frac{0.05}{12}\times3[/tex] = 1875
[tex]\text{Principal Pay }= 1000 \times3[/tex] = 3000
Total amount paid = Interest + principal pay = 1875 + 3000 = 4875
Initial balance = 150000
The remaining balance for the mortgage amount = initial balance - the total amount paid.
Amount of mortgage = $ 145125.
Therefore the closest to the mortgage balance after 3 months of payments is
(1) $145,165.
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if Anna's grade is a D and she gets a D on her final what will her new grade be?
Answers
Answer:
D or an F depends on the grading system
Step-by-step explanation:
please help me as quickly as possible, no links or scams, brainliest on the line!!
Lin ran 29 meters in 10 seconds. She ran at a constant speed.
How far did Lin run every second?
At this rate, how far can she run in 1 minute?
Answers
Answer:
Lin ran at 2.9 meters per second. She can run 174 meters in a minute (2.9 times 60)
Step-by-step explanation:
If she can run 2.9 meters in a second then when you times that by four you get how far she can run in a minute
Over the past 20 years the prices of homes have increased by 30%, resulting in the average price of a house being $500,000. What was the average price of a house 20 years ago?
Answers
Answer:
In the best 30 years for the housing market (1976-2005), real price appreciation averaged 2.2% per year. In the worst 30 years for housing (1895-1924), real price appreciation averaged -2.0% per year.
Answer:
Step-by-step explanation:
1/4-x<2x+1 what does x equal?
Answers
Answer:
Mark me as brainliest
and zoom in
What is the exact distance from (-4, -2) to (3, 8) on the coordinate plane?
√37 units
√85 units
√101 units
√149 units
Answers
Answer:
√149 units
Step-by-step explanation:
√(x2 - x1)² + (y2 - y1)²
√[3 - (-4)]² + [8 - (-2)]²
√(7)² + (10)²
√49 + 100
√149
Which expression is equivalent to 5 ( 3x + 3 ) − 7x
A. 8x + 15
B. x +15
C. 8x+3
D. x+3
Answers
the answer is letter A bro
Answer:
The first Option is equivalent to the equation.
Step-by-step explanation:
1) Expand by distributing term.
[tex]15x + 15 - 7x[/tex]
2) Collect like terms.
[tex](15x - 7x) + 15[/tex]
3) Simplify.
[tex]8x + 15[/tex]
Hence, 8x + 15 is equivalent to this equation.
The height of a widescreen monitor is proportional to its length. The table lists the length, l, and the height, h, of a few widescreen monitors.
Which equation represents the proportional relationship between the lengths and heights of widescreen monitors?
PLZ I REALLY NEED HELP!
Answers
Answer: h= 9/16 length
Step-by-step explanation:
Has one of your eyelash wishes ever came true?
Answers
Answer:
Nope
Step-by-step explanation:
If they did, school wouldn't be a thing and I would be living in the Marvel universe lol
the insurance premium of a new bus is Ghc 93.30 plus 15% of the insured value. what is the insurance premium of a bus whose insured value is Ghc 250.00?
Answers
Step-by-step explanation:
[tex] \frac{15}{100} \times 250 = 37.50 + 93.30 = 130.80[/tex]
HELP ASAPPPP DUDE PLS PLS PLSSSSSS NOOO LINKS
Answers
Answer:
Step-by-step explanation:
use 25,000*(1-0.15)^8 = $ 6812.26
Please help me. 4^(x+1)+2^(x+1)+2^x-1=0
Answers
Answer:
x = -2Step-by-step explanation:
[tex]4^{x+1}+2^{x+1}+2^x-1=0[/tex][tex]4*2^{2x}+2*2^x+2^x-1=0[/tex]2ˣ = t4t² + 3t - 1 = 04t² + 4t - t - 1 = 04t(t + 1) - (t + 1) = 0(t + 1)(4t - 1) = 0t = -1 (discounted as 2ˣ can't be negative)t = 1/42ˣ = 1/42ˣ = 2⁻²x = -2I need help with number 9
Answers
Which expression is equivalent to the expression -3(4x - 2) - 2x? A - 8x B -16. C с - 14x-2 -14r + 6
Answers
Answer:
-16
Step-by-step explanation:
PLEASE HELP IM TIMED ON THIS ! I NEED HELP ASAP!
Answers
Ans :
a^6 is ur answer
Please show your work the answer is 80cm^2 I js need the work please will mark brainliest extra points
Answers
Answer:
30.1 ft²
Step-by-step explanation:
The area of a triangle with an included angle and two sides cam be found using the formula, A = ½*ab*sin(C)
a = 7 ft
b = 9 ft
C = 73°
Plug in the values
Area = ½*7*9*sin(73)
Area = 30.1235998 ≈ 30.1 ft² (nearest tenth)
The graph shows the distance, in miles, that Anders traveled over a period of nine hours. Use the graph to determine the constant of proportionality between the number of miles traveled and the number of hours traveled.
Answers
Explain: sorry if it’s wrong
ANSWER PLEASE! 10 POINTS!! Dad says to pick a number from 1 to 100, and the
closest guess to his number can pick the ride.
One son picks 50, and the other son picks 51. If
the daughter picks 52, what is the probability
that she is closest?
Answers
I need this down thanks
Answers
Answer:
c
a
Step-by-step explanation:
Answer:
5. is C which is 9.
6. is B which is 37.
Step-by-step explanation:
The first on is C. 9 because to find the interquartile range you need to subtract the upper quartile range by the lower quartile range. The upper is 16 and the lower is 7 so you do 16-7 which is 9.
The last question is B. 37 because the lower quartile range is first line in the box plot which is 37.
Identify the terms and like terms in the expression. x² - 3x + 4 + 2x² - x - 12. Thank you to anyone who helps, I appreciate it :)
Answers
Given:
The expression is:
[tex]x^2-3x+4+2x^2-x-12[/tex]
To find:
The terms and like terms in the expression.
Solution:
Terms: Variables, constants and product of variable and constants are known as terms which are separated by addition sign "+".
Like terms: The terms which contain same variables with same power are known as like terms.
The given expression is:
[tex]x^2-3x+4+2x^2-x-12[/tex]
It can be rewritten as:
[tex]x^2+(-3x)+4+2x^2+(-x)+(-12)[/tex]
Terms are [tex]x^2,-3x,4,2x^2,-x,-12[/tex].
Like terms are [tex]x^2,2x^2[/tex] and [tex]-3x,-x[/tex] and [tex]4,-12[/tex].
help meeeee. what does x equal?
Answers
Answer:
[tex]x = 25 \degree \: (alternate \: interior \: angles)[/tex]
Answer:
25 degrees because the angle right on the other side is also 25 degrees
Math question pls help
Answers
Answer:
190
Step-by-step explanation:
Find 19 on the x axis.
Go straight up until you hit the line representing the line made from a scatterplot.
Go horizontally to your left.
You should come to 190 and that's your answer.
Rewrite –220° in radians. Write the solution as a fraction in simplest form.
Answers
Answer:
- [tex]\frac{11\pi }{9}[/tex]
Step-by-step explanation:
To convert degrees to radians
radian measure = degree measure × [tex]\frac{\pi }{180}[/tex] , then
radian measure = - 220 × [tex]\frac{\pi }{180}[/tex] ( divide 220 and 180 by 20 )
= - [tex]\frac{11\pi }{9}[/tex]
Jackie bought a 3-pack of tubes of glue. She used 0.27 ounce of the glue from the 3-pack
and had 1.35 ounces left in total. Which describes a way to determine the number of ounces
sold in each tube of glue?
Divide 1.35 by 3 and then subtract 0.27 from the quotient.
Solve for in the equation 3 (x - 0.27) = 1.35.
Solve for x in the equation 3x - 0.27 = 1.35.
Subtract 0.27 from 1.35 and the divide the difference by 3.
Answers
Answer:
The answer is (A)
Step-by-step explanation:
:D
Answer:
Solve for in the equation 3 (x- 0.27)= 1.35
Step-by-step explanation:
First you look at a diagram and notice that you are moving forward so you are multiplying the 3 pack of tubes by the 0.27 ounce of glue to get your answer of 1.35
Find all the zeroes of the polynomial x^4 − 3x^3 + 6x − 4 , if two of its zeroes are √2 and −√2 . Thanks
Answers
Answer:
x=1 and x=2
Step-by-step explanation:
FIrst, continiuously apply syntheic divison to break it down into a quadratic.
Then, factor that quadratic.
Your zeores would be 1 and 2
Enter your gross pay, taxes, and deductions
below. Press calculate when you're ready.
I need help please!!
Answers
Answer:
Gross pay: $1560
Tax: $294.37
Deductions: $0
It shows the grows pay at the top right, where it says "Gross Pay".It shows the tax taken near the bottom under the "tax" section.There are no deductions in this example, but it would be shown to the right of the "tax" section.The amount of required net pay is $1265.63.
What is net pay?
Too known as “net wages” or “net income,” net pay is the sum that remains after subtracting government wage assess, Medicare and Social Security charges, state and neighborhood wage charges, wellbeing and dental protections premiums, retirement commitments, commitments to adaptable investing accounts and other commitments from the individual’s net salary. The remaining cash, or net pay, are utilized by an representative to pay common living costs, counting lodging, nourishment and optional things.
Given that,
Gross pay = $1560
total taxes = $294.37
Therefore,
Net pay = gross pay - tax deductions
Hence,
Net pay = $1560 - $294.37
= $1265.63
Hence, Net pay is $1265.63.
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Help on this question please algebra
Answers
Answer:
5/3
Step-by-step explanation:
2(4x - 3) + x = 3(2x - 1) + 2
8x - 6 + x = 6x - 3 + 2
9x - 6 = 6x - 1
3x = 5
x = 5/3