Answers
Answer:
x=80
Step-by-step explanation:
This is really simple especially since you have a right triangle, you can easily determine x using trigonometry.
The cosine of an angle in a right triangle is defined by it's adjacent side divided by the hypotenuse.
[tex] \cos(50) = \frac{51}{x} [/tex]
The angle in question is 50, the hypotenuse is the side facing the 90° angle and the adjacent side is the one next to it.
By cross multiplication i can rewrite this as:
[tex]x = \frac{51}{ \cos(50) } [/tex]
[tex]x = \frac{51}{0.64278} [/tex]
[tex]x = 79.34[/tex]
Round to the nearest ten
[tex]x = 80[/tex]
Related Questions
What is the property name of 3 (6 + 2 ) = ( 3 x 6 ) + ( 3 x 2) ?
Answers
Answer:
The distributive property
Step-by-step explanation:
It says
[tex]a(b+c)=a(b)+a(c)[/tex]
I hope you understand the generalization of the property.
Angelo’s score in a video game was changed by -75 points because he missed some targets. He got -15 points for each missed target. How many targets did he miss?
Answers
Answer:
the answer is 5 targets
solve for x ~
[tex]\bold{2(x + 1) - 4x = 3x + 5} [/tex]
spammers stay away .-.
thankyou ~
Answers
Answer:
x = -0.6
solving steps:
[tex]\sf \rightarrow 2\left(x+1\right)-4x=3x+5[/tex]
remove the parenthesis
[tex]\sf \rightarrow 2x+2\right)-4x=3x+5[/tex]
group the variables
[tex]\sf \rightarrow 2x-4x-3x\right)=5-2[/tex]
simplify
[tex]\sf \rightarrow -5x\right)=3[/tex]
change sides
[tex]\sf \rightarrow x\right)=\dfrac{3}{-5}[/tex]
answer in fraction
[tex]\sf \rightarrow x\right)=-\dfrac{3}{5}[/tex]
answer in decimals
[tex]\sf \rightarrow x\right)=-0.6[/tex]
Answer:
[tex]x=-0.6[/tex]
Step-by-step explanation:
[tex]2\left(x+1\right)-4x=3x+5\quad :\quad x=-\frac{3}{5}\quad \left(\mathrm{Decimal}:\quad x=-0.6\right)[/tex]
[tex]2\left(x+1\right)-4x=3x+5[/tex]
[tex]2(x+1)-4:-2x+2[/tex]
[tex]-2x+2=3x+5[/tex]
[tex]\mathrm{Subtract\:}2\mathrm{\:from\:both\:sides}[/tex]
[tex]-2x+2-2=3x+5-2[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]-2x=3x+3[/tex]
[tex]\mathrm{Subtract\:}3x\mathrm{\:from\:both\:sides}[/tex]
[tex]-2x-3x=3x+3-3x[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]-5x=3[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}-5[/tex]
[tex]\frac{-5x}{-5}=\frac{3}{-5}[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]x=-\frac{3}{5}[/tex]
~Learn with Lenvy~
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Match each circle equation to its corresponding center and radius.
center = (3,-5)
radius = 2 units
center = (-3,-5)
radius = 4 units
center = (3,5)
radius = 2 units
center = (-3,5)
radius = 2 units
center = (3,-5)
radius = 4 units
center = (3,5)
radius = 4 units
(x + 3)2 + (1 + 5)2
= 16
(x + 3)2 + (1 – 5)2 = 4
+
=
(x – 3)2 + (x – 5)2
= 4
|(1 – 3)2 + (1 + 5)2 = 16
-
=
Answers
By using the general equation for a circle, we will see that the correct options are:
1) This is a circle centered at (-3, - 5) with a radius of 4 units.2) The center is (-3, 5) and the radius is 2 units.3) The center is (3, 5) and the radius is 2 units.4) This is a circle centered at (3, - 5) with a radius of 4 units.How to write a circle equation?
For a circle of radius R and center (a, b), the equation is given by:
(x - a)^2 + (y - b)^2 = R^2
With that in mind, if we look at the first equation:
(x + 3)^2 + (y + 5)^2 = 16 = 4^2
This is a circle centered at (-3, - 5) with a radius of 4 units.
For the second equation:
(x + 3)^2 + (y - 5)^2 = 4 = 2^2
The center is (-3, 5) and the radius is 2 units.
The third equation is:
(x - 3)^2 + (y - 5)^2 = 4 = 2^2
The center is (3, 5) and the radius is 2 units.
The fourth equation is:
(x - 3)^2 + (y + 5)^2 = 16 = 4^2
This is a circle centered at (3, - 5) with a radius of 4 units.
If you want to learn more about circles, you can read:
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Mill river middle school has 320 families with students at the school. For the open house, 240 families were present. What percentage of families came to open house?
Answers
Answer:
75%
Step-by-step explanation:
in order to find the percentage of something like this, all you need to do is divide the part by the whole, thus 240/320 to make 75%
75% of families came to the open house.
7500 in account paying 1.5 compound interest, how much after 8 years
Answers
Answer:
The amount of money after 8 years is $8448.69
Step-by-step explanation:
The rule of the compound interest is
[tex]A=p(1+r)^{t}[/tex] , where
A is the new valueP is the original valuer is the rate in decimalt is the time in years∵ There is $7500 in an account
∴ P = 7500
∵ The account paying 1.5% compound interest
∴ r = 1.5% = 1.5/100 = 0.015
∵ The money will invest for 8 years
∴ t = 8
→ Substitute all of these values in the rule above to find A
∵ [tex]A=7500(1+0.015)^{8}[/tex]
→ Use your calculator to find the answer
∴ A = 8448.69
∴ The amount of money after 8 years is $8448.69
the midpoint of (1,4) and (-7,10)
Answers
Answer:
i’m pretty sure the answer is y=3/4x-13/4
Step-by-step explanation:
This table shows the ratio of daisies to roses.
Complete the statement about the equivalent ratios in
this table.
Daisies
Roses
To find the values in each row,
the values
in the previous row by
256
192
64
48
16
12
Answers
Answer:
Its divide and 4
Step-by-step explanation:
To find the values in each row divide the values in previous row by 4.
What is the Ratio?
The ratio can be defined as the comparison of the fraction of one quantity towards others. e.g.- water in milk.
Clearly, from observation,
Each column represent geometric progression with common ratio r = 1/4. So when moving downward, the element in the rows decreases as multiple of 1/4.
Here,
R(1, 1) = 256
R (2 ,1) = 64
R(2,1)/R(1,1)=1/4
Thus, To find the values in each row divide the values in previous row by 4.
Learn more about Ratio here:
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I love my chocolate company makes dark chocolate and light chocolate
Answers
Answer:
this is great to hear I personally like light
A researcher collected data from car shoppers about their favorite car color. He asked 250 people about their favorite vehicle color. How many more people said their favorite color is white compared to those who said black. Your answer should be written as a number not a percentage. And then the percents for the circle graph are 20% red 24% white 32% blue 18% black 4% silver and 2% other
Answers
Answer:
35 more preferred white
Step-by-step explanation:
Black 18% * 250 = 18/100 * 250 = 45
White 32%*250 = 32/100 * 250 = 80
The difference is 80 - 45 = 35
electrician cuts a 21 ft piece of wire into two pieces. One piece is 4 ft longer than the other. How long are the pieces?
Answers
21=a+(a+4)
one piece is 8.5 ft
the other is 12.5 ft
Nonsense will be reported!!
Answers
Answer:
Step-by-step explanation:
[tex]\bf \left( \dfrac{-11}{2} * +3 \right) -2*\left(\dfrac{11}{4}x-\dfrac{5}{2} \right) =\left( \dfrac{-33}{2} \right) - 2*\dfrac{11}{4}x - (-2) * \dfrac{5}{2}\\\\\\[/tex]
[tex]\bf = \dfrac{-33}{2}-\dfrac{11}{2}x + \dfrac{10}{2}\\\\\\ = \dfrac{-33-11x+10}{2}\\\\\\ = \dfrac{-23-11x}{2}[/tex]
$55 for 20 people............
Answers
Answer:
total amount of money: $1100
Step-by-step explanation:
multiply the number of people by the money for each of them
so $55 x 20 = $1100
Answer:
55 divied by 20..witch mean 50 divied between 20 ppl witch is
11/4 and as a decimal 2.75 hope this helped
The cost of manufacturing a single DVD is represented by: C(x) = 0.35x+ 1.75. What is the cost of manufacturing 12 DVDs?
Answers
Answer:
£5.95
Step-by-step explanation:
To find the cost of 12 DVDs, let x = 12
C(12) = 0.35 x 12 + 1.75
C(12) = 4.2 + 1.75
C(12) = 5.95
The cost of manufacturing 12 DVDs is $5.95.
What is the function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
Given that, the cost of manufacturing a single DVD is represented by C(x) = 0.35x+ 1.75.
When, x=12
C(12)=0.35×12+1.75
C(12)=5.95
Therefore, the cost of manufacturing 12 DVDs is $5.95.
To learn more about the function visit:
https://brainly.com/question/28303908.
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2x+3≤x−5 solve for x
Answers
Answer:
x≤−8
Step-by-step explanation:
2x+3≤x−5
Step 1: Subtract x from both sides.
2x+3−x≤x−5−x
x+3≤−5
Step 2: Subtract 3 from both sides.
x+3−3≤−5−3
Answer is
x≤−8
Ms. James bought 3 world maps for her classroom. The total cost of the 3 maps was $73.77. The clerk told Ms. James that each map cost $2.45. Do you agree with the clerks calculations? Explain your reasoning.
please help ASAP please will give branlyist if i can figure it out
Answers
Answer:
The clerk is wrong because the total cost per map is $24.59
Step-by-step explanation:
since you know that you spent $73.77 for 3 maps you can set up the equation 73.77 = 3X (where x = cost per map)
once you divide 73.77 by 3 you get 24.59 and that equals the price per map
if it was like the clerk said and each map was 2.45 then the total cost shoud have been 7.35.
In the expression 12r what values of r makes the expression equal a number less than 12
Answers
answer:
any value below 1
r<1
examples:
12×0=1
12×0.99= 0.0825
12×-12=-144 (which is less than 12)
etc.
The radii of two similar cones are 1 and 2.5. What is the ratio of their volumes?
Answers
Answer:
Assuming the cones are the same height, then
V1 = pi * r^2 * h/3 = 3.14159*1^2*h/3
V2 = 3.14159*2.5^2*h/3 = 3.14159*6.25*h/3
V1/V2=(3.14159*h/3)/(3.14159*6.25)*h/3
V1/V2 = 1/6.25 = .16
V2/V1=(3.14159*6.25)*h/3/(3.14159*h/3)
V2/V1=6.25/1 = 6.25
If the salinity of ocean water at the entrance to an estuary is 35 and 63 percent of the volume of water in the estuary is ocean water, what is the average salinity of the estuary
Answers
The correct answer for the average salinity of the estuary would be 22.235.
Given in the question,
Salinity of ocean water at the entrance to the estuary: 35.
Volume of ocean water in the estuary: 63% (or 0.63).
Volume of freshwater in the estuary: 37% (or 0.37).
Consider, salinity of freshwater as 0.5.
To calculate the average salinity of the estuary, the formula know is:
Average Salinity = (Salinity of Ocean Water * Volume of Ocean Water + Salinity of Freshwater * Volume of Freshwater) / Total Volume of Estuary
[tex]= \dfrac{35*0.63 + 0.5 * 0.37}{1}\\\\= 22.05 + 0.185\\\\= 22.235[/tex]
Therefore, Average salinity of the estuary would be approximately 22.235.
Learn more about Salinity here:
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What is the y-intercept for the equation y=-4(x – 3)2 +1?
Answers
Answer:
(0,25)
Step-by-step explanation:
Answer:
I believe the y intercept is (0,25)
Refer to the following information on full-term births in the United States over a given period of time.Type of Birth Number of BirthsSingle birth 47,200,000Twins 600,000Triplets 3000Quadruplets 200Use this information to estimate the probabilities of the following events.(a) A randomly selected pregnant woman who reaches full term delivers twins. (Give the answer to three significant figures.)(b) A randomly selected pregnant woman who reaches full term delivers quadruplets. (Give the answer to three significant figures.)(c) A randomly selected pregnant woman who reaches full term gives birth to more than a single child. (Give the answer to three significant figures.)
Answers
Answer:
Refer to the following information on full-term births in the United States over a given period of time.
Type of Birth Number of Births
Single birth 47,200,000
Twins 600,000
Triplets 3000
Quadruplets 200
Use this information to estimate the probabilities of the following events.
(a) A randomly selected pregnant woman who reaches full term delivers twins. (Give the answer to three significant figures.)
(b) A randomly selected pregnant woman who reaches full term delivers quadruplets. (Give the answer to three significant figures.)
(c) A randomly selected pregnant woman who reaches full term gives birth to more than a single child. (Give the answer to three significant figures
PLEASE HELP WILL GIVE BRAINLIEST!!!!
Answers
Answer:
C E A F B D
Step-by-step explanation:
A function is translated to the right by h units when x is replaced by (x-h) in the function. So, the larger h is, the farther right the vertex of the quadratic is.
The vertices will be arranged left to right by the ordering ...
[tex]\boxed{y=f(x+3)}\rightarrow\boxed{y=f(x+2)}\rightarrow\boxed{y=f(x)}\rightarrow\boxed{y=f\left(x-\dfrac{1}{2}\right)}\\\\\rightarrow\boxed{y=f(x-4)}\rightarrow\boxed{y=f(x-7)}[/tex]
find the value of x ?
Answers
Answer:
Step-by-step explanation:
∠E = ∠G
∠D= ∠F because it’s a parallelogram ==> D=F=2x+12 and E=G=5x
5x+2x+12=180
7x=168
X=24
Solution 2:
2*5x+2*(2x+12)=360
10x+4x+24=360
14x=360-24=336
X=336/14
X=24
Answer:
[tex]{\fbox{\fbox{\fbox{\fbox{\fbox{\fbox{\fbox{\fbox{\fbox{\fbox{\fbox{\fbox{☺☺Hope\ it\ helps\ you}}}}}}}}}}}}}[/tex]
A/Q
5x+2x+12=180(Sum of adjacent angles is 180)
=>7x+12=180
=>7x=180-12
=>x=168/7
Hence,x=24....
The least common denominator for 3/9 and 3/6
Answers
Answer:
The least common denominator is 18:)
Choose the expression that is equal to 28.3
Answers
There are no other expressions intered. Please write them too.
Answer:
It CAN be 28.30
What’s the value of x?
Answers
Answer:
x=15°
Step-by-step explanation:
165°+x=180°(sum of the adjacent angles on a straight line is 180)
x=180-165
x=15°
Identify whether each variable is categorical or continuous.
Hand length (cm) ?
Kneeling height (cm) ?
Hours studied for exam ?
Exam score?
Perfect attendance (100=perfect; 0 = not perfect)?
Answers
Answer:
u33u3373737
Step-by-step explanation:
hheeheheheheheheheheheehehehehebeheheheheheheheheehehe
What is the solution to the system of equations?
(4, 7)
(7, 4)
(12, 5)
(5, 12)
Answers
What is the solution to the system of equations?
3x+2y = 39
5x-y = 13
Answer ↷(5,12)
Solution ↷Given that,
3x + 2y = 39......(1)
5x - y = 13.......(2)
multiplying equation 1 by 5 & 2nd by 3 ,we get,
15x + 10y = 195.......(3)
15x - 3y = 39........(4)
Subtracting equation 4th by equation 3rd,
we get,
15x + 10y = 195
-15x - 3y = 39
_____________
ㅤ ㅤ13y = 156
ㅤㅤㅤ y = 12
_____________
so , y = 12 & x = 5
⤿5x-12 = 13⤿5x = 25⤿x = 5_____________
hence, option 4th ⇢ (5,12) is correct ✓
Graph Attached
Solution is (5,12)Option D
52. What are the given facts?plssss?help this is
Answers
HELPPP PLEASE!!!!
Write an equation for the nth term of the
arithmetic sequence below.
-12, -3, 6, ...
A. f(n) = -9n - 21
B. f(n) = 9n - 21
C. f(n) = 9n + 21
D. f(n) = -9n + 21
Activate
Answers
Answer: B.f(n)9n-12
Step-by-step explanation: